
/* gettext library */

var catalog = new Array();

function pluralidx(count) { return (count == 1) ? 0 : 1; }
catalog[' '] = ' ';
catalog[' Change of Base Formula'] = 'Basiswechselformel';
catalog[' Evaluating exponential expressions 3'] = ' Auswertung von exponentiellen Ausdr\u00fccken 3';
catalog[' Graphing Logarithmic Functions'] = ' den Graph Logarithmischer Funtkionen zeichnen';
catalog[' Henri Matisse, "The Blue Window"'] = ' Henri Matisse, "The Blue Window"';
catalog[' Independent and Dependent Systems'] = ' Unabh\u00e4ngige und abh\u00e4ngige Systeme';
catalog[' Multi-Step Inequalities'] = ' Mehrstufige Ungleichheiten';
catalog[' Ordered pair solutions of equations'] = ' Geordnetes Paar L\u00f6sungen f\u00fcr Gleichungen';
catalog[' Solutions to Three Variable System'] = ' L\u00f6sungen f\u00fcr ein System mit drei Variablen';
catalog[' Solving Logarithmic Equations'] = ' Logarithmische Gleichungen l\u00f6sen';
catalog[' The Substitution Method'] = ' Das Substitutionsverfahren';
catalog[' as an admin.'] = ' as an admin.';
catalog[' as an administrator for '] = ' as an administrator for ';
catalog['"3 Standard Stoppages," Marcel Duchamp'] = '"3 Standard Stoppages," Marcel Duchamp';
catalog['"A Hare in the Forest," Hans Hoffmann'] = '"A Hare in the Forest," Hans Hoffmann';
catalog['"A Mars-sized planet slammed into the surface of the Earth, eventually creating the Moon." Do you believe that?<br>'] = '"A Mars-sized planet slammed into the surface of the Earth, eventually creating the Moon." Do you believe that?<br>';
catalog['"An Allegory of Passion," Hans Holbein the Younger'] = '"An Allegory of Passion," Hans Holbein the Younger';
catalog['"Bicycle Wheel" by Marcel Duchamp, 1951 | MoMA Education'] = '"Bicycle Wheel" by Marcel Duchamp, 1951 | MoMA Education';
catalog['"Collective Suicide" by David Alfaro Siqueiros, 1936 | MoMA Education'] = '"Collective Suicide" by David Alfaro Siqueiros, 1936 | MoMA Education';
catalog['"Composition in Brown and Gray," Piet Mondrian'] = '"Composition in Brown and Gray," Piet Mondrian';
catalog['"Dive Bomber and Tank" by Jose Clemente Orozco, 1940 | MoMA Education'] = '"Dive Bomber and Tank" by Jose Clemente Orozco, 1940 | MoMA Education';
catalog['"Girl Before a Mirror" by Pablo Picasso, 1932 | MoMA Education'] = '"Girl Before a Mirror" by Pablo Picasso, 1932 | MoMA Education';
catalog['"I think people have trouble imagining that works that are so small and so intimate in scale were major works of art in their own time." \u2014Thomas Kren, Curator of Manuscripts. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = '"I think people have trouble imagining that works that are so small and so intimate in scale were major works of art in their own time." \u2014Thomas Kren, Curator of Manuscripts. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['"Let them eat cake!"  "No, how about we cut your head off instead!"  \n\nThe French Revolution was ugly, bloody and idealistic.  This tutorial covers the beginning of the end of the Bourbon rule (actually doesn\'t really go away for 60 years) and birth of France as a Republic (which will really take about 80 years).'] = '"Sollen sie doch Kuchen essen!" "Nein, wir w\u00e4r\'s wenn wir dich stattdessen einen Kopf k\u00fcrzer machen!" \n\nDie Franz\u00f6sische Revolution war h\u00e4sslich, blutig und idealistisch. Dieses Tutorial umfasst den Anfang vom Ende der Herrschaft des Haus Bourbon (was ungef\u00e4hr 60 Jahre dauerte) und die Geburt der franz\u00f6sischen Republik (die ungef\u00e4hr 80 Jahre dauerte).';
catalog['"Manhatta:" A film by Paul Strand and Charles Sheeler'] = '"Manhatta:" A film by Paul Strand and Charles Sheeler';
catalog['"Map" by Jasper Johns, 1961 | MoMA Education'] = '"Map" by Jasper Johns, 1961 | MoMA Education';
catalog['"Monomials" sounds like a fancy word, but it just refers to single terms like "4x"  or "8xy"  or "17x^2z".  In this tutorial, we\'ll learn to multiply and divide them using ideas you\'re already familiar with (like exponent properties and greatest common factor).'] = '"Monome" klingt wie ein sehr ausgefallenes Wort, ist aber nur die Bezeichnung f\u00fcr Terme wie "4x" oder "8xy" oder"17x^2z". In diesem Tutorial lernst du, wie du solche Monome multiplizierst und dividierst und dabei Vorgehensweisen nutzt, die du bereits kennst (wie Exponentenregeln und der gr\u00f6\u00dfte gemeinsame Faktor).';
catalog['"One: Number 31, 1950" by Jackson Pollock, 1950 | MoMA Education'] = '"One: Number 31, 1950" by Jackson Pollock, 1950 | MoMA Education';
catalog['"Poison:" a short film by Man Ray'] = '"Poison:" a short film by Man Ray';
catalog['"Polynomials" sound like a fancy word, but you just have to break down the root words.  "Poly" means "many".  So we\'re just talking about "many nomials" and everyone knows what a "nomial" is.  Okay, most of us don\'t.  Well, a polynomials has "many" terms. \n\nFrom understanding what a "term" is to basic simplification, addition and subtraction of polynomials, this tutorial will get you very familiar with the world of many "nomials." :)'] = '"Polynome" klingt wie ein sehr ausgefallenes Wort, dabei brauchst du dir nur mal seine Bestandteile ansehen. "Poly" bedeutet "viele". Also hei\u00dft es nichts anderes als "viele Nome" und jeder wei\u00df ja, was ein "Nom" ist. Ja gut, eigentlich wei\u00df das kaum jemand. Ok, ein Polynom hat "viele" Terme.\n\nVom Verst\u00e4ndnis, was ein "Term" eigentlich ist \u00fcber eine Einf\u00fchrung in das Vereinfachen bis hin zur Addition und Subtraktion von Polynomen; dieses Tutorial macht dich mit der Welt der vielen "Nome" vertraut :)';
catalog['"Self-Portrait with Cropped Hair" by Frida Kahlo, 1940 | MoMA Education'] = '"Self-Portrait with Cropped Hair" by Frida Kahlo, 1940 | MoMA Education';
catalog['"Shifting" transform by multiplying function by exponential'] = '"Shifting" transform by multiplying function by exponential';
catalog['"Statue of an Emperor:" A conservation partnership'] = '"Statue of an Emperor:" A conservation partnership';
catalog['"The Adoration of the Magi with Saint Anthony Abbott," Franco-Flemish master'] = '"The Adoration of the Magi with Saint Anthony Abbott," Franco-Flemish master';
catalog['"The One World Schoolhouse" book'] = 'Das "Eine-Welt-Schulhaus"-Buch';
catalog['"To Lift" by Richard Serra, 1967 | MoMA Education'] = '"To Lift" by Richard Serra, 1967 | MoMA Education';
catalog['"Wall Drawing #1144, Broken Bands of Color in Four Directions" by Sol LeWitt, 2004 | MoMA Education'] = '"Wall Drawing #1144, Broken Bands of Color in Four Directions" by Sol LeWitt, 2004 | MoMA Education';
catalog['# Errors'] = '# Errors';
catalog['# Groups'] = '# Groups';
catalog['# Models Downloaded'] = '# Models Downloaded';
catalog['# Models Uploaded'] = '# Models Uploaded';
catalog['# Students</'] = '# Students</';
catalog['# Times Synced'] = '# Times Synced';
catalog['# Users'] = '# Users';
catalog['$1 went a lot further in 1900 than today (you could probably buy a good meal for the family for $1 back then).  Why?  And how do we measure how much more expensive things have gotten (i.e., inflation)?'] = '$1 went a lot further in 1900 than today (you could probably buy a good meal for the family for $1 back then).  Why?  And how do we measure how much more expensive things have gotten (i.e., inflation)?';
catalog['% Completed'] = '% Completed';
catalog['% Mastery'] = '% Mastery';
catalog['% Started'] = '% Started';
catalog['%(nlocal)s / %(nknown)s video(s) are available locally.'] = '%(nlocal)s / %(nknown)s video(s) are available locally.';
catalog['%(points)s points'] = '%(points)s points';
catalog['%(total_seconds_watched)s secs'] = '%(total_seconds_watched)s secs';
catalog['%(yaxis_name)s over time'] = '%(yaxis_name)s over time';
catalog['%(yaxis_name)s versus %(xaxis_name)s'] = '%(yaxis_name)s versus %(xaxis_name)s';
catalog['(2^(ln x))/x antiderivative example'] = '(2^(ln x))/x Stammfunktion Beispiel';
catalog['(Aug. 24, 2012)'] = '(Aug. 24, 2012)';
catalog['(Ax+By)(Ax+By)'] = '(Ax+By)(Ax+By)';
catalog['(Correction) Radius of Observable Universe'] = '(Korrektur) Radius des beobachtbaren Universums';
catalog['(Group/class)'] = '(Gruppe/Klasse)';
catalog['(How many potential users do you estimate there are at this facility?)'] = '(Wie viele potentielle Benutzer sch\u00e4tzt Du f\u00fcr diese Einrichtung?)';
catalog['(Knowing, as closely as possible, where you are in the world allows us to better plan for future deployments and partnerships)'] = '(Je genauer wir wissen wo Du in der Welt bist, je besser k\u00f6nnen wir k\u00fcnftige Projekten und Partnerschaften planen.)';
catalog['(Long-26 minutes) Presentation on spreadsheet to show that the normal distribution approximates the binomial distribution for a large number of trials.'] = '(Lange - 26 Minuten) Pr\u00e4sentation mit Kalkulationstabelle die zeigt, dass die Normalverteilung eine Ann\u00e4herung der Binomialverteilung f\u00fcr eine gro\u00dfe Anzahl von Versuchen ist.';
catalog['(Offline) Management and Reporting Tools'] = '(Offline) Management and Reporting Tools';
catalog['(Online) Help Documents'] = '(Online) Help Documents';
catalog['(Please provide as detailed an address as possible.)'] = '(Bitte eine so detaillierte Adresse wie m\u00f6glich angeben.)';
catalog['(Select a different facility)'] = '(Eine andere Einrichtung w\u00e4hlen)';
catalog['(This is the name that students/teachers will see when choosing their facility; it can be in the local language.)'] = '(Dies ist der Name, den Sch\u00fcler/Lehrer bei der Wahl ihrer Einrichtung sehen.  Es kann in der Landessprache sein.)';
catalog['(Who should we contact with any questions about this facility?)'] = '(Wen sollten wir mit Fragen bzgl. diese Einrichtung kontaktieren?)';
catalog['(correction) scalar multiplication of row'] = '(correction) scalar multiplication of row';
catalog['(optional)'] = '(optional)';
catalog['(set as the default facility)'] = '(als Standard-Einrichtung setzen)';
catalog['(this is the default)'] = '(dies ist der Standardwert)';
catalog['(whether this user should have teacher permissions)'] = '(ob dieser Benutzer Lehrerrechte haben soll)';
catalog['** PLEASE NOTE: This is the archived version of the YouTube Live broadcast. The edited video will be posted on Monday. **\n\nDesigning an education that truly builds the necessary skills for today\'s enormously diverse student population is not easy. But it\'s the key to opportunity for our citizens, economic vitality for our nation, and to assuring the U.S. remains a world leader. There is hope: innovations and innovators that challenge the status quo; research to help us understand how to move the education needle; a virtual army of reformers experimenting with new ways to teach, learn, and run our public schools.\n\nJoin master interviewer and PBS host Charlie Rose and a distinguished panel of luminaries to tackle the question of how to improve our troubled school system and provide a better future for our nation\'s greatest resource, our kids.\n\nStanford University:\nhttp://www.stanford.edu/\n\nThe Roundtable at Stanford:\nwww.stanford.edu/roundtable\n\nStanford University Channel on YouTube:\nhttp://www.youtube.com/stanford'] = '** BITTE BEACHTEN: Dies ist die archivierte Version einer YouTube-Livesendung. Das geschnittene Video wird am Montag ver\u00f6ffentlicht. **\n\nDie (Aus-)Bildung f\u00fcr die heutige Sch\u00fcler- und Studentenschaft mit stark unterschiedliche Rahmenbedingungen wie Vorbildung, sozialem Umfeld etc. ("Diversit\u00e4t") so zu planen, dass alle den gleichen Abschluss erreichen k\u00f6nnen, ist nicht einfach. Aber es ist eine der gr\u00f6\u00dften Gelegenheiten \u00fcberhaupt f\u00fcr unsere B\u00fcrger, den wirtschaftlichen Wohlstand unserer Nation zu erhalten, und sicher zu stellen, das die USA Weltspitze bleiben. Es gibt Hoffnung: Erfindungen und Erfinder, die den aktuellen Zustand als Herausforderung betrachten, Forschung, die uns hilft, die Bildung wesentlich voran zu bringen, und eine virtuelle Armee von hellen K\u00f6pfen, die mit neuen Konzepten experimentieren um das Lehren und Lernen an den \u00f6ffentlichen Schulen zu verbessern.\n\nBegleiten Sie den PBS Gastgeber Charlie Rose und ein Gremium von Fachleuten und Experten auf der Suche nach der Antwort auf die Frage, wie man das gebeutelte Schulsystem, und damit die Zukunft unserer wichtigsten Resource, unseren Kinder, verbessern kann.\n\nStanford Universit\u00e4t:\nhttp://www.stanford.edu/\n\nDer runde Tische in Stanford:\nwww.stanford.edu/roundtable\n\nStanford Universit\u00e4t auf YouTube:\nhttp://www.youtube.com/stanford';
catalog['- 400 C.E. Ancient cultures'] = '- 400 C.E. Ancient cultures';
catalog['-- be sure to log out when you finish.'] = '-- bitte ausloggen wenn Du fertig bist.';
catalog['.&nbsp;A MoMA educator discusses how she teaches &quot;Wall Drawing #1144, Broken Bands of Color in Four Directions&quot; by Sol LeWitt, 2004.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.'] = '.&nbsp;A MoMA educator discusses how she teaches &quot;Wall Drawing #1144, Broken Bands of Color in Four Directions&quot; by Sol LeWitt, 2004.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.';
catalog['1 12th term in sequence'] = '1 12th term in sequence';
catalog['1 Constructing and solving simple equation'] = '1 Constructing and solving simple equation';
catalog['1 Missing angle'] = '1 Missing angle';
catalog['1 Private universities'] = '1 Private universities';
catalog['1 Rounding'] = '1 Rounding';
catalog['1 Running distance'] = '1 Running distance';
catalog['1 Solving for 2x'] = '1 Solving for 2x';
catalog['1 Square coordinates'] = '1 Square coordinates';
catalog['1 Student spending'] = '1 Student spending';
catalog['1 Unknown variable and operation'] = '1 Unknown variable and operation';
catalog['1 Working at convenience store'] = '1 Working at convenience store';
catalog['1-3, deductive reasoning and congruent angles'] = '1-3, schlussfolgernde Argumentation und kongruente Winkel';
catalog['1-5, pg. 278'] = '1-5, S. 278';
catalog['1-6, pg. 152'] = '1-6, S. 152';
catalog['1-7, number properties and absolute value equations'] = '1-7, Eigenschaften von Zahlen und Absolutwert Gleichungen';
catalog['1-digit division'] = '1-stellige Division';
catalog['1. What Is  Big History?'] = '1. What Is  Big History?';
catalog['1. What Is Big History?'] = '1. What Is Big History?';
catalog['1.0 Welcome to the Big History Project'] = '1.0 Welcome to the Big History Project';
catalog['1.1 What Is Big History'] = '1.1 What Is Big History';
catalog['1.2 Complexity and Thresholds'] = '1.2 Complexity and Thresholds';
catalog['1.3 Scale'] = '1.3 Scale';
catalog['1.4 Origin Stories'] = '1.4 Origin Stories';
catalog['1.5 Ways of Knowing: What We Believe'] = '1.5 Ways of Knowing: What We Believe';
catalog['10 11 Calling plan'] = '10 11 Calling plan';
catalog['10 Adding numbers in different representations'] = '10 Adding numbers in different representations';
catalog['10 Finding angle measure'] = '10 Finding angle measure';
catalog['10 Maximizing game tokens'] = '10 Maximizing game tokens';
catalog['10 Maximum triangle area given side lengths'] = '10 Maximum triangle area given side lengths';
catalog['10 Oil imports'] = '10 Oil imports';
catalog['10 Rope cutting'] = '10 Rope cutting';
catalog['10 Setting up an equation'] = '10 Setting up an equation';
catalog['10 Trucks in parking lot'] = '10 Trucks in parking lot';
catalog['10-14, similar triangles'] = '10-14, \u00e4hnliche Dreiecke';
catalog['10-15, pgs. 278-279'] = '10-15, S. 278-279';
catalog['10. The Future'] = '10. The Future';
catalog['10.0 What does the future hold?'] = '10.0 What does the future hold?';
catalog['10.1 Big history\'s most important unanswered question'] = '10.1 Big history\'s most important unanswered question';
catalog['100-105, pg. 165'] = '100-105, pg. 165';
catalog['103-106, pg. 287'] = '103-106, S. 287';
catalog['106-109, pg. 166'] = '106-109, S. 166';
catalog['107-109, pg. 287'] = '107-109, S. 287';
catalog['11 Allowance savings'] = '11 Allowance savings';
catalog['11 Bacteria in a dish'] = '11 Bacteria in a dish';
catalog['11 Book sales'] = '11 Book sales';
catalog['11 Computing with set members'] = '11 Computing with set members';
catalog['11 Function equaling zero'] = '11 Function equaling zero';
catalog['11 Love and marriage'] = '11 Love and marriage';
catalog['11 Proportion of total votes'] = '11 Proportion of total votes';
catalog['11 Solving for parabola constant'] = '11 Solving for parabola constant';
catalog['11 Survey results'] = '11 Survey results';
catalog['11 sols of activities are uploaded for the holidays'] = '11 sols of activities are uploaded for the holidays';
catalog['110-111, pg. 287'] = '110-111, S. 287';
catalog['110-114, pgs. 166-167'] = '110-114, S. 166-167';
catalog['112-115, pg. 287'] = '112-115, S. 287';
catalog['115-119, pgs. 168-169'] = '115-119, S. 168-169';
catalog['116-118, pg. 288'] = '116-118, S. 288';
catalog['119-120, pg. 288'] = '119-120, S. 288';
catalog['12 Composite functions'] = '12 Composite functions';
catalog['12 Corressponding side lengths'] = '12 Corressponding side lengths';
catalog['12 Equivalent expressions'] = '12 Equivalent expressions';
catalog['12 Estimating number products'] = '12 Estimating number products';
catalog['12 Missing angle alternate solution'] = '12 Missing angle alternate solution';
catalog['12 Missing angle'] = '12 Missing angle';
catalog['12 Percent of toy sales'] = '12 Percent of toy sales';
catalog['12 Probability satisfying inequality'] = '12 Probability satisfying inequality';
catalog['12 Roller coaster'] = '12 Roller coaster';
catalog['12 Solving for half of j'] = '12 Solving for half of j';
catalog['12 Triangle angles'] = '12 Triangle angles';
catalog['12-19, pgs. 153-154'] = '12-19, S. 153-154';
catalog['120-123, pg. 168'] = '120-123, S. 168';
catalog['121-124, pg. 288'] = '121-124, S. 288';
catalog['124-128, pgs. 168-169'] = '124-128, S. 168-169';
catalog['125-128, pg. 288'] = '125-128, S. 288';
catalog['129-131, pg. 289'] = '129-131, S. 289';
catalog['129-132, pgs. 169-170'] = '129-132, S. 169-170';
catalog['13 Difference between number and square'] = '13 Difference between number and square';
catalog['13 Exponent properties to simplify expression'] = '13 Exponent properties to simplify expression';
catalog['13 Exponential growth'] = '13 Exponential growth';
catalog['13 Inflation rate'] = '13 Inflation rate';
catalog['13 Least possible value of z'] = '13 Least possible value of z';
catalog['13 Possible values for x'] = '13 Possible values for x';
catalog['13 Solving system for x+y'] = '13 Solving system for x+y';
catalog['13 Strange function definition'] = '13 Strange function definition';
catalog['13 Triangle angles'] = '13 Triangle angles';
catalog['1300-1400 Proto-Renaissance'] = '1300-1400 Proto-Renaissance';
catalog['132-134, pg. 289'] = '132-134, S. 289';
catalog['133-137, pg. 170'] = '133-137, S. 170';
catalog['135-137, pg. 289'] = '135-137, S. 289';
catalog['138-140, pg. 289'] = '138-140, S. 289';
catalog['138-142, pg. 171'] = '138-142, S. 171';
catalog['14 Apparel manufacturers'] = '14 Apparel manufacturers';
catalog['14 Bread combinations'] = '14 Bread combinations';
catalog['14 Distance within cylinder'] = '14 Distance within cylinder';
catalog['14 Equation of diameter of circle'] = '14 Equation of diameter of circle';
catalog['14 Graph of function absolute value'] = '14 Graph of function absolute value';
catalog['14 Least possible value for variable'] = '14 Least possible value for variable';
catalog['14 Running distance ratio'] = '14 Running distance ratio';
catalog['14 Small arc length'] = '14 Small arc length';
catalog['14 Substituting variables'] = '14 Substituting variables';
catalog['14 Trays with cups and plates'] = '14 Trays with cups and plates';
catalog['1400-1500 Challenge'] = '1400-1500 Challenge';
catalog['1400-1500 Renaissance in Italy and the North'] = '1400-1500 Renaissance in Italy and the North';
catalog['1400s Quiz'] = '1400s Quiz';
catalog['1400s quiz'] = '1400s quiz';
catalog['141-142, pg. 289-290'] = '141-142, S. 289-290';
catalog['142-144, pg. 290'] = '142-144, S. 290';
catalog['143-147, pgs. 171-172'] = '143-147, S. 171-172';
catalog['145-147, pg. 290'] = '145-147, S. 290';
catalog['148-150, pg. 290'] = '148-150, S. 290';
catalog['148-153, pgs. 172-173'] = '148-153, S. 172-173';
catalog['15 Area of tilted square'] = '15 Area of tilted square';
catalog['15 Embedded square dimensions'] = '15 Embedded square dimensions';
catalog['15 Equation of line'] = '15 Equation of line';
catalog['15 Linear model'] = '15 Linear model';
catalog['15 Median of 5 consecutive integers'] = '15 Median of 5 consecutive integers';
catalog['15 Possible values for expression'] = '15 Possible values for expression';
catalog['15 Right triangle side lengths'] = '15 Right triangle side lengths';
catalog['15 Slope of perpendicular line'] = '15 Slope of perpendicular line';
catalog['15 Storing bread'] = '15 Storing bread';
catalog['15 Sums of terms in a sequence'] = '15 Sums of terms in a sequence';
catalog['15-16, similar triangles'] = '10-14, \u00e4hnliche Dreiecke';
catalog['1500-1600 End of the Renaissance and the Reformation'] = '1500-1600 End of the Renaissance and the Reformation';
catalog['1500-1600: Renaissance & Reformation'] = '1500-1600: Renaissance & Reformation';
catalog['1500-1600: Renaissance and Reformation'] = '1500-1600: Renaissance and Reformation';
catalog['151-153, pg. 290'] = '151-153, S. 290';
catalog['154-155, pg. 290'] = '154-155, Seite 290';
catalog['154-160, pg. 173'] = '154-160, S. 173';
catalog['16 Compound inequality with absolute value'] = '16 Compound inequality with absolute value';
catalog['16 Finding function constant'] = '16 Finding function constant';
catalog['16 Legislators'] = '16 Legislators';
catalog['16 Perimeter of inscribed triangle'] = '16 Perimeter of inscribed triangle';
catalog['16 Possible values for t'] = '16 Possible values for t';
catalog['16 Satisfying constraints'] = '16 Satisfying constraints';
catalog['16 Seating assignments'] = '16 Seating assignments';
catalog['16 Shortest path'] = '16 Shortest path';
catalog['16 Writing compound inequality'] = '16 Writing compound inequality';
catalog['16-18  Shortest paths on grid'] = '16-18  Shortest paths on grid';
catalog['16-21, pg. 279'] = '16-21, S. 279';
catalog['1600s-1800s: Enlightenment and the Revolution'] = '1600s-1800s: Enlightenment and the Revolution';
catalog['161-162, pg. 174'] = '161-162, S. 174';
catalog['163-166, pg. 174'] = '163-166, S. 174';
catalog['167-172, pgs. 174-175'] = '167-172, S. 174-175';
catalog['17 Fraction of circumference'] = '17 Fraction of circumference';
catalog['17 Intersection of perpendicular lines'] = '17 Intersection of perpendicular lines';
catalog['17 Nobel prize'] = '17 Nobel prize';
catalog['17 Number of rectangular solids to make cubic meter'] = '17 Number of rectangular solids to make cubic meter';
catalog['17 Product of primes near 50'] = '17 Product of primes near 50';
catalog['17 Sum of terms in sequence'] = '17 Sum of terms in sequence';
catalog['17-20, more similar and congruent triangles'] = '17-20, weitere \u00e4hnliche und kongruente Dreiecke';
catalog['1700-1800 Age of Enlightenment'] = '1700-1800 Age of Enlightenment';
catalog['1700-1900: Enlightenment and Revolution'] = '1700-1900: Enlightenment and Revolution';
catalog['173-176, pgs. 175-176'] = '173-176, S. 175-176';
catalog['177-180, pg. 176'] = '177-180, S. 176';
catalog['17th Century Spanish polychrome sculpture can achieve remarkable realism. Learn about the techniques <em>estofado\u2014</em>painting and incising to portray silk fabrics, and <em>encarnaciones\u2014</em>for the hair and skin. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = '17th Century Spanish polychrome sculpture can achieve remarkable realism. Learn about the techniques <em>estofado\u2014</em>painting and incising to portray silk fabrics, and <em>encarnaciones\u2014</em>for the hair and skin. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['18  Greatest number meeting constraints'] = '18  Greatest number meeting constraints';
catalog['18 Area of rectangle'] = '18 Area of rectangle';
catalog['18 Average tree height'] = '18 Average tree height';
catalog['18 Functions'] = '18 Functions';
catalog['18 Median mileage'] = '18 Median mileage';
catalog['18 Sound of sap'] = '18 Sound of sap';
catalog['180(simpler)-184, pgs. 176-177'] = '180 (einfacher)-184, S. 176-177';
catalog['1800-1848 Industrial Revolution I'] = '1800-1848 Industrielle Revolution I';
catalog['1848-1907 Industrial Revolution II'] = '1848-1907 Industrielle Revolution II';
catalog['185-189, pgs. 177-178'] = '185-189, S. 177-178';
catalog['19 Exponent properties to factor expression'] = '19 Exponent properties to factor expression';
catalog['19 Function truth'] = '19 Function truth';
catalog['19 Selling stock'] = '19 Selling stock';
catalog['19 True statements based on constraints'] = '19 True statements based on constraints';
catalog['190-194, pg. 178'] = '190-194, S. 178';
catalog['1900 - present: The recent past'] = '1900 - present: The recent past';
catalog['1907-1960 Age of Global Conflict'] = '1907-1960 Age of Global Conflict';
catalog['1913 Centennial Celebration'] = '1913 Hundertjahrfeier';
catalog['1913 is a particularly important year within the history of modern art, marked by events and objects that would fundamentally change the way art was conceived and understood. In February of that year, the groundbreaking "Armory Show" introduced the American public to the work of Paul C\u00e9zanne, Pablo Picasso, Marcel Duchamp, and many other European artists exhibited alongside their American avant-garde counterparts. In this series of videos, curators from all areas of the Museum speak about their favorite works from 1913 in MoMA\'s collection.'] = '1913 is a particularly important year within the history of modern art, marked by events and objects that would fundamentally change the way art was conceived and understood. In February of that year, the groundbreaking "Armory Show" introduced the American public to the work of Paul C\u00e9zanne, Pablo Picasso, Marcel Duchamp, and many other European artists exhibited alongside their American avant-garde counterparts. In this series of videos, curators from all areas of the Museum speak about their favorite works from 1913 in MoMA\'s collection.';
catalog['1913 | Schiess-Dusseldorf by Ludwig Hohlwein'] = '1913 | Schiess-Dusseldorf by Ludwig Hohlwein';
catalog['195-197, pgs. 178-179'] = '195-197, S. 178-179';
catalog['1960 -  Age of Post-Colonialism'] = '1960 -  Age of Post-Colonialism';
catalog['198-200, pg. 179'] = '198-200, S. 179';
catalog['1A: Come learn about enzyme kinetics. How can we look at enzyme activity from a mathematical point of view?  By Ross Firestone.'] = '1A: Come learn about enzyme kinetics. How can we look at enzyme activity from a mathematical point of view?  By Ross Firestone.';
catalog['1A: Learn the basics of enzyme structure and function. Enzymes are able to catalyze lots of different biochemical reactions, and make them occur at much faster rates.  By Ross Firestone.'] = '1A: Learn the basics of enzyme structure and function. Enzymes are able to catalyze lots of different biochemical reactions, and make them occur at much faster rates.  By Ross Firestone.';
catalog['1A: What is the central dogma of biology?  Learn the fundamental relationships that tie together DNA, RNA, and proteins.  Then go on to discover the different types of amino acids, and how they come together to form complex proteins.  By Tracy Kim Kovach.'] = '1A: Was ist der zentrale Grundsatz der Biologie?  Lerne den grundlegenden Zusammenhang von DNS, RNS und Proteinen kennen. Entdecke anschlie\u00dfend die unterschiedlichen Typen von Aminos\u00e4uren und wie sie zusammen komplexe Proteine bilden. Von Tracy Kim Kovach.';
catalog['1B: Learn about gene expression and how information flows between DNA and protein.  By Tracy Kim Kovach.'] = '1B: Learn about gene expression and how information flows between DNA and protein.  By Tracy Kim Kovach.';
catalog['1B: Regulation of genes occurs at every step of the pathway for gene expression. Gene control is critical to the health of the cell, especially with regards to oncogenes and tumor suppressor genes.  By Tracy Kim Kovach.'] = '1B: Regulation of genes occurs at every step of the pathway for gene expression. Gene control is critical to the health of the cell, especially with regards to oncogenes and tumor suppressor genes.  By Tracy Kim Kovach.';
catalog['1C: How do organisms evolve from one form to another? Learn about all of the different driving forces of evolution and how there might be a few more than just natural selection. How can populations evolve and adapt to changes in their environment? Do groups of organisms behave differently than individuals?  By Ross Firestone.'] = 'Wie entwickeln sich Organismen von einer Lebensform zu einer anderen? Lerne alles \u00fcber die verschiedenen Antriebskr\u00e4fte der Evolution und inwiefern es ein paar weitere neben der nat\u00fcrlichen Auslese gibt. Wie k\u00f6nnen sich Populationen entwickeln und sich an Ver\u00e4nderungen in ihrer Umwelt anpassen? Verhalten sich Gruppen von Lebewesen anders als Individuen? Von Ross Firestone.';
catalog['1D: Learn about two of the most vital energy-producing pathways that take place in the mitochondria: The Krebs/TCA cycle and oxidative phosphorylation in the electron transport chain.  Learn about the products and reactants of these pathways and how they are regulated.  By Jasmine Rana.'] = '1D: Learn about two of the most vital energy-producing pathways that take place in the mitochondria: The Krebs/TCA cycle and oxidative phosphorylation in the electron transport chain.  Learn about the products and reactants of these pathways and how they are regulated.  By Jasmine Rana.';
catalog['1D: What are the key metabolic pathways that are intimately involved in breaking down or building up glucose? Learn about glycolysis, gluconeogenesis, and the pentose phosphate pathway and how they fit into cellular respiration as a whole.  By Jasmine Rana.'] = '1D: What are the key metabolic pathways that are intimately involved in breaking down or building up glucose? Learn about glycolysis, gluconeogenesis, and the pentose phosphate pathway and how they fit into cellular respiration as a whole.  By Jasmine Rana.';
catalog['1D: What are the thermodynamic principles that are fundamental to understanding metabolism? Learn about Gibbs Free Energy, Enthalpy, and Le Chatelier\'s Principle.  By Jasmine Rana.'] = '1D: Was sind die thermodynamischen Prinzipien, die grundlegend f\u00fcr das Verst\u00e4ndnis des Stoffwechsels sind? Lerne Gibbssche freie Energie, Enthalpie und das Le Chatelier-Prinzip kennen.  Von Jasmine Rana.';
catalog['1D: What is metabolism? What molecules are involved? How is useful chemical energy produced? Apply principles from general chemistry and biology to learn the common themes of metabolism.  By Jasmine Rana.'] = '1D: Was ist der Stoffwechsel? Welche Molek\u00fcle sind daran beteiligt? Wie wird nutzbare chemische Energie erzeugt? Wende Prinzipien der Allgemeinen Chemie und Biologie an und lerne die Thematik des Stoffwechsels kennen.  Von Jasmine Rana.';
catalog['2 + 3 = 3 + 2, 6 x 4 = 4 x 6.  Adding zero to a number does not change the number.  Likewise, multiplying a number by 1 does not change it.\n\nYou may already know these things from working through other tutorials, but some people (not us) like to give these properties names that sound far more complicated than the property themselves.  This tutorial (which we\'re not a fan of), is here just in case you\'re asked to identify the "Commutative Law of Multiplication".   We believe the important thing isn\'t the fancy label, but the underlying idea (which isn\'t that fancy).'] = '2 + 3 = 3 + 2, 6 x 4 = 4 x 6.  Addition von NULL zu einer Zahl \u00e4ndert nicht die Zahl.  Ebenso \u00e4ndert eine Multiplikation mit 1 nichts. \n\nVielleicht wissen Sie dies schon aus der Arbeit mit anderen Tutorials, aber einige Menschen(nicht wir) geben diesen Eigenschaften gern Namen, die viel komplizierter klingen als die Eigenschaft selbst .  Dieses Tutorial (von dem wir kein Fan sind), ist hier nur f\u00fcr den Fall, dass Sie aufgefordert werden, das "Kommutative Gesetz der Multiplikation" zu identifizieren.   Wir glauben, dass das Wichtigste nicht der Phantasiename, sondern die zugrunde liegende Idee ist (was die Phantasie nicht ist).';
catalog['2 Contradicting statement'] = '2 Contradicting statement';
catalog['2 Coupon probability'] = '2 Coupon probability';
catalog['2 Course reviews'] = '2 Course reviews';
catalog['2 Defying oppression'] = '2 Defying oppression';
catalog['2 Distance from origin'] = '2 Distance from origin';
catalog['2 Dividing same number by 2 and 4'] = '2 Dividing same number by 2 and 4';
catalog['2 Possible values of x'] = '2 Possible values of x';
catalog['2 Sequence of numbers'] = '2 Sequence of numbers';
catalog['2 Solving for a'] = '2 Solving for a';
catalog['2 Solving for angle'] = '2 Solving for angle';
catalog['2 Solving for mk'] = '2 Solving for mk';
catalog['2 Types of Flu Vaccine'] = '2 Arten des Grippe-Impfstoffs';
catalog['2 digit times 1 digit example (no carrying)'] = '2-stellig mal 1-stellig Beispiel (ohne \u00dcbertrag)';
catalog['2 digit times 1 digit example'] = '2-stellig mal 1-stellig Beispiel';
catalog['2 examples of multiplying a 3 digit number times a 2 digit number.  1 example of multiplying a 3 digit number times a 3 digit number.'] = '2 Beispiele f\u00fcr die Multiplikation einer 3-stelligen Zahl mit einer 2-stelligen Zahl.  1 Beispiel f\u00fcr die Multiplikation einer 3-stelligen Zahl mit einer dreistelligen Zahl.';
catalog['2 more examples of solving equations using the quadratic equation'] = '2 weitere Beispiele zum L\u00f6sen von Gleichungen mit der quadratischen Gleichung';
catalog['2 more exponent rules with an introduction to composite problems'] = '2 weitere Potenzregeln mit einer Einf\u00fchrung in zusammengesetzte Probleme';
catalog['2 more moment problems.'] = '2 more moment problems.';
catalog['2 sided limit from graph'] = '2 sided limit from graph';
catalog['2-D Divergence theorem'] = '2-D-Divergenz-Theorem';
catalog['2-digit multiplication with distribution or grid'] = '2-stellige Multiplikation mit Aufteilung oder Raster';
catalog['2-digit times a 2-digit number'] = 'zweistellige Zahlen mit eineander multiplizieren';
catalog['2-dimensional momentum problem (part 2)'] = '2-dimensional momentum problem (part 2)';
catalog['2-dimensional momentum problem'] = '2-dimensional momentum problem';
catalog['2-step equations'] = 'Zwei-Schritt-Gleichungen';
catalog['2. The Big Bang'] = '2. The Big Bang';
catalog['2.0 The Big Bang'] = '2.0 The Big Bang';
catalog['2.1 How Did Our View of the Universe Change?'] = '2.1 How Did Our View of the Universe Change?';
catalog['2.2 What Emerged from the Big Bang?'] = '2.2 What Emerged from the Big Bang?';
catalog['2.3 Ways of Knowing: How Do We Know About the Big Bang?'] = '2.3 Ways of Knowing: How Do We Know About the Big Bang?';
catalog['20 Mississippi River'] = '20 Mississippi River';
catalog['20 Slope between points'] = '20 Slope between points';
catalog['20 Solving for variable'] = '20 Solving for variable';
catalog['20 Units digits of products'] = '20 Units digits of products';
catalog['20-23, pgs. 154-155'] = '20-23, S. 154-155';
catalog['2000 Years of Chinese History! The Mandate of Heaven and Confucius'] = '2000 Jahre chinesische Geschichte! Das Mandat des Himmels und Konfuzius';
catalog['2003 AIME II Problem 1'] = '2003 AIME II Problem 1';
catalog['2003 AIME II Problem 3'] = '2003 AIME II \u00dcbung 3';
catalog['2003 AIME II Problem 5 Minor Correction'] = '2003 AIME II \u00dcbung 5 (kleine Korrektur)';
catalog['2003 AIME II problem 1'] = '2003 AIME II Problem 1';
catalog['2003 AIME II problem 10'] = '2003 AIME II problem 10';
catalog['2003 AIME II problem 11'] = '2003 AIME II Problem 11';
catalog['2003 AIME II problem 12'] = '2003 AIME II problem 12';
catalog['2003 AIME II problem 13'] = '2003 AIME II problem 13';
catalog['2003 AIME II problem 14'] = '2003 AIME II Problem 14';
catalog['2003 AIME II problem 15 (part 1)'] = '2003 AIME II problem 15 (part 1)';
catalog['2003 AIME II problem 15 (part 2)'] = '2003 AIME II problem 15 (part 2)';
catalog['2003 AIME II problem 15 (part 3)'] = '2003 AIME II problem 15 (part 3)';
catalog['2003 AIME II problem 3'] = '2003 AIME II problem 3';
catalog['2003 AIME II problem 4 (part 1)'] = '2003 AIME II problem 4 (part 1)';
catalog['2003 AIME II problem 4 (part 2)'] = '2003 AIME II problem 4 (part 2)';
catalog['2003 AIME II problem 5 minor correction'] = '2003 AIME II problem 5 minor correction';
catalog['2003 AIME II problem 5'] = '2003 AIME II problem 5';
catalog['2003 AIME II problem 6'] = '2003 AIME II problem 6';
catalog['2003 AIME II problem 7'] = '2003 AIME II Problem 7';
catalog['2003 AIME II problem 8'] = '2003 AIME II Problem 8';
catalog['2003 AIME II problem 9'] = '2003 AIME II problem 9';
catalog['2003 AIME'] = '2003 AIME';
catalog['2008 Bank bailout'] = '2008-Banken-Rettungspaket';
catalog['2008 bank bailout'] = '2008 bank bailout';
catalog['201-204, pgs. 179-180'] = '201-204, S. 179-180';
catalog['2010 IIT JEE  Paper 1 problem 32 Position Vectors'] = '2010 IIT JEE \u00dcbungsblatt 1 \u00dcbung 32 Positionsvektoren';
catalog['2010 IIT JEE Paper 1 #30 normal vector and planes (Part 1)'] = '2010 IIT JEE Papier 1 #30 Normalenvektoren und Flugzeuge (Teil 1)';
catalog['2010 IIT JEE Paper 1 #30 normal vector and planes (Part 2)'] = '2010 IIT JEE Papier 1 #30 Normalenvektoren und Flugzeuge (Teil 2)';
catalog['2010 IIT JEE Paper 1 #34 Integral Limit'] = '2010 IIT JEE Papier 1 #34 Grenze der Integration';
catalog['2010 IIT JEE Paper 1 #38 Hairy Trig and Algebra (Part 2)'] = '2010 IIT JEE Papier 1 #38 anspruchsvolle Trigonometrie und Algebra (Teil 2)';
catalog['2010 IIT JEE Paper 1 #38 Hairy Trig and Algebra (Part 3)'] = '2010 IIT JEE Papier 1 #38 anspruchsvolle Trigonometrie und Algebra (Teil 3)';
catalog['2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1)'] = '2010 IIT JEE Seite 1 Problem 39 komplexe Zahlen (Teil 1)';
catalog['2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2)'] = '2010 IIT JEE Seite 1 Problem 39 komplexe Zahlen (Teil 2)';
catalog['2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3)'] = '2010 IIT JEE Seite 1 Problem 39 komplexe Zahlen (Teil 3)';
catalog['2010 IIT JEE Paper 1 Problem 40 Differentiability and Boundedness'] = '2010 IIT JEE Papier 1 Problem 40 Differenzierbarkeit und Gebundenheit';
catalog['2010 IIT JEE Paper 1 Problem 41 Integral with Binomial Expansion and Algebraic Long Division'] = '2010 IIT JEE Papier 1 Problem 41 integrale binomiale Erweiterung und algebraische schriftliche Division';
catalog['2010 IIT JEE Paper 1 Problem 42 Symmetric and Skew-Symmetric Matrices'] = '2010 IIT JEE \u00dcbungsblatt 1 \u00dcbung 42 Symmetrische und schiefsymmetrische Matrizen';
catalog['2010 IIT JEE Paper 1 Problem 43 Trace and Determinant'] = '2010 IIT JEE Papier 1 Problem 43 Spur und Determinante';
catalog['2010 IIT JEE Paper 1 Problem 44 Divisible Determinants 2'] = '2010 IIT JEE Papier 1 Problem 44 teilbare Determinanten 2';
catalog['2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tan'] = '2010 IIT JEE Seite 1 Problem 45 Gemeinsame Tangente eines Kreises und einer Hyperbel';
catalog['2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 2'] = '2010 IIT JEE Seite 1 Problem 45 Gemeinsame Tangente eines Kreises und einer Hyperbel Teil 2';
catalog['2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 3'] = '2010 IIT JEE Seite 1 Problem 45 Gemeinsame Tangente eines Kreises und einer Hyperbel Teil 3';
catalog['2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 4'] = '2010 IIT JEE Seite 1 Problem 45 Gemeinsame Tangente eines Kreises und einer Hyperbel Teil 4';
catalog['2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 5'] = '2010 IIT JEE Seite 1 Problem 45 Gemeinsame Tangente eines Kreises und einer Hyperbel Teil 5';
catalog['2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection'] = '2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection';
catalog['2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints'] = '2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints';
catalog['2010 IIT JEE Paper 1 Problem 48 Trigonometric Maximum'] = '2010 IIT JEE Seite 1 Problem 48 trigonometrisches Maximum';
catalog['2010 IIT JEE Paper 1 Problem 49 Lagrange\'s Formula'] = '2010 IIT JEE \u00dcbungsblatt 1 \u00dcbung 49 Lagrange-Formel';
catalog['2010 IIT JEE Paper 1 Problem 50: Hyperbola eccentricity'] = '2010 IIT JEE Paper 1 Problem 50: Hyperbola eccentricity';
catalog['2010 IIT JEE Paper 1 Problem 51 Distance Between Planes'] = '2010 IIT JEE Paper 1 Problem 51 Distance Between Planes';
catalog['2010 IIT JEE Paper 1 Problem 52 Periodic Definite Integral.  The second term at about minute 14 should have a positive sign.  Luckily, it doesn\'t effect the final answer!'] = '2010 IIT JEE Papier 1 Problem 52 periodisches bestimmtes Integral.  Der zweite Term bei ca. Minute 14 sollte ein positives Vorzeichen haben.  Zum Gl\u00fcck hat es auf die endg\u00fcltige Antwort keine Auswirkung!';
catalog['2010 IIT JEE Paper 1 Problem 53 Complex Determinant'] = '2010 IIT JEE Paper 1 Problem 53 Complex Determinant';
catalog['2010 IIT JEE Paper 1 Problem 54 Series Sum'] = '2010 IIT JEE Paper 1 Problem 54 Series Sum';
catalog['2010 IIT JEE Paper 1 Problem 55 Trigonometric System'] = '2010 IIT JEE Paper 1 Problem 55 Trigonometric System';
catalog['2010 IIT JEE Paper 1 Problem 56 Differential Equation'] = '2010 IIT JEE Papier 1 Problem 56-Differentialgleichung';
catalog['2010 IIT JEE Paper 1 problem 36 Function Maxima'] = '2010 IIT JEE Papier 1 Problem 36 Funktionsmaximum';
catalog['2010 IIT JEE Paper 1 problem 37 Diameter Slope'] = '2010 IIT JEE Papier 1 Problem 37 Steigerungsdurchmesser';
catalog['2010 IIT JEE Paper I #29 Trigonometry problem'] = '2010 IIT JEE Seite I #29 Trigonometrie Problem';
catalog['2010 Paper 1 problem 31 Math (part 1)'] = '2010 \u00dcbungsblatt 1 \u00dcbung 31 Mathe (Teil 1)';
catalog['2010 Paper 1 problem 31 Math (part 2).avi'] = '2010 \u00dcbungsblatt 1 \u00dcbung 31 Mathe (Teil 2)';
catalog['2010 Paper 1 problem 35 Algebraic Manipulation'] = '2010 \u00dcbungsblatt 1 \u00dcbung 35 algebraische Manipulation';
catalog['2010 Paper 1 problem 38 Hairy Trig and Algebra'] = '2010 Papier 1 Problem 38 anspruchsvolle Trigonometrie und Algebra';
catalog['2011 Calculus AB free response #1a'] = '2011 Calculus AB freie Antwort #1a';
catalog['2011 Calculus AB free response #2 (a & b)'] = '2011 Calculus AB freie Antwort #2 (a & b)';
catalog['2011 Calculus AB free response #2 (c & d)'] = '2011 Calculus AB freie Antwort #2 (c & d)';
catalog['2011 Calculus AB free response #3 (a & b)'] = '2011 Calculus AB freie Antwort #3 (a & b)';
catalog['2011 Calculus AB free response #3 (c)'] = '2011 Calculus AB freie Antwort #3 (c)';
catalog['2011 Calculus AB free response #4a'] = '2011 Calculus AB freie Antwort #4a';
catalog['2011 Calculus AB free response #4b'] = '2011 Calculus AB freie Antwort #4b';
catalog['2011 Calculus AB free response #4c'] = '2011 Calculus AB freie Antwort #4c';
catalog['2011 Calculus AB free response #4d'] = '2011 Calculus AB freie Antwort #4d';
catalog['2011 Calculus AB free response #5a'] = '2011 Calculus AB freie Antwort #5a';
catalog['2011 Calculus AB free response #5b'] = '2011 Calculus AB freie Antwort #5b';
catalog['2011 Calculus AB free response #5c.'] = '2011 Calculus AB freie Antwort #5c.';
catalog['2011 Calculus AB free response #6a'] = '2011 Calculus AB freie Antwort #6a';
catalog['2011 Calculus AB free response #6b'] = '2011 Calculus AB freie Antwort #6b';
catalog['2011 Calculus AB free response #6c'] = '2011 Calculus AB freie Antwort #6c';
catalog['2011 Calculus BC free response #1 (b & c)'] = '2011 Calculus BC freie Antwort #1 (b & c)';
catalog['2011 Calculus BC free response #1a'] = '2011 Calculus BC freie Antwort #1a';
catalog['2011 Calculus BC free response #1d'] = '2011 Calculus BC freie Antwort #1d';
catalog['2011 Calculus BC free response #3 (b & c)'] = '2011 Calculus BC freie Antwort #3 (b & c)';
catalog['2011 Calculus BC free response #3a'] = '2011 Calculus BC freie Antwort #3a';
catalog['2011 Calculus BC free response #6a'] = '2011 Calculus BC freie Antwort #6a';
catalog['2011 Calculus BC free response #6b'] = '2011 Calculus BC freie Antwort #6b';
catalog['2011 Calculus BC free response #6c'] = '2011 Calculus BC freie Antwort #6c';
catalog['2011 Calculus BC free response #6d'] = '2011 Calculus BC freie Antwort #6d';
catalog['2011 Roundtable at Stanford: Education Nation 2.0'] = '2011 Runder Tisch in Stanford:  Bildungsnation 2.0';
catalog['2011-2012 Greek debt crisis'] = '2011-2012 Greek debt crisis';
catalog['2013 AMC 10 A #21 / AMC 12 A #17'] = '2013 AMC 10 A #21 / AMC 12 A #17';
catalog['2013 AMC 10 A #22 / AMC 12 A #18'] = '2013 AMC 10 A #22 / AMC 12 A #18';
catalog['2013 AMC 10 A #23 / AMC 12 A #19'] = '2013 AMC 10 A #23 / AMC 12 A #19';
catalog['2013 AMC 10 A #24'] = '2013 AMC 10 A #24';
catalog['2013 AMC 10 A #25'] = '2013 AMC 10 A #25';
catalog['2013 AMC 10 A'] = '2013 AMC 10 A';
catalog['205-206, pg. 180'] = '205-206, S. 180';
catalog['207-209, pgs. 180-181'] = '207-209, S. 180-181';
catalog['20th Century capitalism and regulation in the United States'] = '20th Century capitalism and regulation in the United States';
catalog['21 Air pollutants'] = '21 Air pollutants';
catalog['21-25, triangles and parallelograms'] = '21-25, Dreiecke und Parallelogramme';
catalog['21-26, graphing inequalities and testing assertions'] = '21-26, grafische Darstellung von Ungleichungen und Pr\u00fcfung von Annahmen';
catalog['21-26, mostly imaginary and complex numbers'] = '21-26, gr\u00f6\u00dftenteils zu imagin\u00e4ren und komplexen Zahlen';
catalog['210-213, pg. 181'] = '210-213, S. 181';
catalog['214-216, pg. 181'] = '214-216, S. 181';
catalog['217-220, pg. 182'] = '217-220, S. 182';
catalog['21st Century Challenges (Royal Geographic Society)'] = 'Die Herausforderungen des 21. Jahrhunderts (Royal Geographic Society)';
catalog['22 Car headlights'] = '22 Car headlights';
catalog['22-27, pg. 279'] = '22-27, S. 279';
catalog['221-225, pgs. 182-183'] = '221-225, S. 182-183';
catalog['226, pg. 183'] = '226, S. 183';
catalog['227-231, pgs. 183-184'] = '227-231, S. 183-184';
catalog['23 Greek mythology'] = '23 Greek mythology';
catalog['232-236, pgs. 184-185'] = '232-236, S. 184-185';
catalog['237-239, pg. 185'] = '237-239, S. 185';
catalog['24 Museum funding'] = '24 Museum funding';
catalog['24-29, pgs. 155-156'] = '24-29, S. 155-156';
catalog['240-244, pgs. 185-186'] = '240-244, S. 185-186';
catalog['245-247, pg. 186'] = '245-247, S. 186';
catalog['248-249, pg. 186'] = '248-249, S. 186';
catalog['25 Shakespearean character'] = '25 Shakespearean character';
catalog['26 Inconsistent science'] = '26 Inconsistent science';
catalog['26-30, area, circumference, pythagorean theorem'] = '26-30, Fl\u00e4che, Umfang, Pythagorastheorie';
catalog['27 Theories of evolution'] = '27 Theories of evolution';
catalog['27-32, figuring out the slope, y-intercept and equation of a line'] = '27-32, Finde Steigung, Schnittpunkt mit der y-Achse und Gleichung einer Gerade heraus';
catalog['28 Tall structures'] = '28 Tall structures';
catalog['28-32, pg. 280'] = '28-32, S. 280';
catalog['29 Toxic chemicals'] = '29 Toxic chemicals';
catalog['2A: Learn about the basics behind the cell membrane. What makes up the cell membrane and how does it work? How does our cell membrane help sustain life?  By William Tsai.'] = '2A: Lerne die Grundlagen zum Verst\u00e4ndnis der Zellmemebran. Was macht die Zellmemebran aus und wie funktioniert sie? Wie hilft die Zellmembran das Leben aufrechtzuerhalten?  Von William Tsai.';
catalog['2D Equilibrium -- Balancing Games'] = '2D Equilibrium -- Balancing Games';
catalog['2D divergence theorem'] = '2-D-Divergenz-Theorem';
catalog['2D geometric models'] = 'Geometrische 2D-Modelle';
catalog['2a of 2008 Calculus BC exam (free response)'] = '2a 2008 Calculus BC-Pr\u00fcfung (freie Antwort)';
catalog['2nd order linear homogeneous differential equations 1'] = 'Lineare homogene Differenzialgleichungen 2. Ordnung - 1';
catalog['2nd order linear homogeneous differential equations 2'] = 'Lineare homogene Differentialgleichungen 2. Ordnung - 2';
catalog['2nd order linear homogeneous differential equations 3'] = 'Lineare homogene Differentialgleichungen 2. Ordnung - 3';
catalog['2nd order linear homogeneous differential equations 4'] = 'Lineare homogene Differentialgleichungen 2. Ordnung - 4';
catalog['3 Average of 4 numbers'] = '3 Average of 4 numbers';
catalog['3 Camouflage'] = '3 Camouflage';
catalog['3 Central Park'] = '3 Central Park';
catalog['3 Distance to reflected point'] = '3 Distance to reflected point';
catalog['3 Letter in pattern'] = '3 Letter in pattern';
catalog['3 Letter symmetry'] = '3 Letter symmetry';
catalog['3 Segment length PQ'] = '3 Segment length PQ';
catalog['3 Solving inequality'] = '3 Solving inequality';
catalog['3 Solving simple equation'] = '3 Solving simple equation';
catalog['3 Triangle angles'] = '3 Triangle angles';
catalog['3 Value of 2 variable expression'] = '3 Value of 2 variable expression';
catalog['3 basic differential equations that can be solved by taking the antiderivatives of both sides.'] = '3 einfache Differenzialgleichungen, die durch die Verwendung der Stammfunktion beider Seiten gel\u00f6st werden k\u00f6nnen.';
catalog['3 digit times 1 digit example (no carrying)'] = '3-stellig mal 1-stellig Beispiel (ohne \u00dcbertrag)';
catalog['3 digit times 1 digit example'] = '3-stellig mal 1-stellig Beispiel';
catalog['3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))'] = '3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))';
catalog['3 people overtaking each other at different rates'] = '3 Personen, die einander in unterschiedlichem Tempo \u00fcberholen';
catalog['3 x 3 determinant'] = '3 x 3 Determinante';
catalog['3. Stars & Elements'] = '3. Stars & Elements';
catalog['3.0 Stars and big history'] = '3.0 Stars and big history';
catalog['3.1 How were stars formed?'] = '3.1 How were stars formed?';
catalog['3.2 What did stars give us?'] = '3.2 What did stars give us?';
catalog['3.3 Ways of knowing: Stars and elements'] = '3.3 Ways of knowing: Stars and elements';
catalog['30-35, pg. 156'] = '30-35, S. 156';
catalog['30-60-90 triangle example problem'] = '30-60-90 Dreieck Beispiel Problem';
catalog['30-60-90 triangle side ratios proof'] = '30-60-90 Dreieck Seitenverh\u00e4ltnisse Beweis';
catalog['30-60-90 triangles II'] = '30-60-90 Dreiecke - Teil 2';
catalog['31-35, area, circumference and volume'] = '31-35, Volumen, Fl\u00e4che und Umfang';
catalog['32-35, Solving quadratics and graph shifts'] = '32-35, L\u00f6sen von quadratischen Termen und Graph-Verschiebungen';
catalog['33-36, pg. 280'] = '33-36, S. 280';
catalog['33-37, systems of equations and inequalities'] = '33-37, Systeme von Gleichungen und Ungleichungen';
catalog['3455434552554325235342'] = '3455434552554325235342';
catalog['36-38, shifting quadratic graphs and finding x-intercepts (roots)'] = '36-38, quadratische Graphen verschieben und X-Achsenabschnitte (Wurzeln) finden';
catalog['36-40, Pythagorean Theorem and Area'] = '36-40, Pythagorastheorie und Fl\u00e4che';
catalog['36-41, pgs. 156-157'] = '36-41, S. 156-157';
catalog['37-41, pgs. 280-281'] = '37-41, S. 280-281';
catalog['3A: An overview of how neurons communicate with their target cells at synapses, and the roles of neurotransmitters and their receptors.  By Matt Jensen.'] = '3A: An overview of how neurons communicate with their target cells at synapses, and the roles of neurotransmitters and their receptors.  By Matt Jensen.';
catalog['3A: Dive into the endocrine system! See how the body uses special organs (called glands) that secrete chemical messages (called hormones) in order to properly respond to it\'s changing environment.  By Ryan Patton.'] = '3A: Tauche ein in das Hormonsystem! Verstehe, wie der K\u00f6rper spezielle Organe (Dr\u00fcsen) nutzt, die chemische Nachrichten absondern (Hormone), um passend auf eine ver\u00e4nderte Umgebung zu reagieren. Von Ryan Patton.';
catalog['3A: Get an overview of the structure and function of neurons, and learn about the many other important cells needed to help our nervous system function optimally!  By Matt Jensen.'] = '3A: Erhalte einen \u00dcberblick \u00fcber die Strukturen und Funktionen von Neuronen und lerne viele andere wichtige Zellen kennen, die n\u00f6tig sind, um unserem Nervensystem dabei zu helfen, optimal zu funktionieren!  Von Matt Jensen.';
catalog['3A: Learn the causes and functions of neuron membrane potentials, including resting, graded, and action potentials.  By Matt Jensen.'] = '3A: Learn the causes and functions of neuron membrane potentials, including resting, graded, and action potentials.  By Matt Jensen.';
catalog['3B: How do our muscles work? When we decide to kick a ball or shake a leg, how do we get our bodies to do that? Which muscles do we control? Which muscles control us? Learn how our muscles work at the smallest, most cellular level. Then see how nature scales up those microscopic processes into a kick or a dance move. Finally, learn how our brain tells muscle to contract and how that helps us respond to changes in temperature or even a lion chasing us.  By Raja Narayan.'] = '3B: Wie funktionieren unsere Muskeln? Wenn wir uns entschliessen, einen Ball zu kicken oder ein Bein zu sch\u00fctteln, wie bekommen wir unseren K\u00f6rper dazu, dies zu tun? Welche Muskeln kontrollieren wir? Welche Muskeln kontrollieren uns? Lerne, wie unsere Muskeln auf der niedrigsten, zellul\u00e4rsten Ebene arbeiten. Dann verstehe, wie die Natur diese mikroskopisch kleinen Prozesse zu einem Tritt oder einem Tanzschritt steigert. Zuletzt lerne, wie unser Gehirn den Muskeln befiehlt, sich zusammenzuziehen und wie uns das bei Temperaturschwankungen hilft oder sogar wenn uns ein L\u00f6we verfolgt.  Von Raja Narayan.';
catalog['3B: Welcome to the lymphatic system! Learn about how it is a critical part of the circulatory system. Find out how it comes to the rescue of the cardiovascular system and the immune system. Also discover how it moves fluid in one direction, like blood, but without a heart!  By Patrick van Nieuwenhuizen.'] = '3B: Willkommen beim Lymphatischen System! Lerne, inwiefern es ein kritischer Teil des Blutkreislaufs ist. Finde heraus, wie es dem Herz-Kreislauf-System und dem Immunsystems zur Hilfe kommt. Entdecke auch, wie es Fl\u00fcssigkeit in nur einer Richtung bewegt, wie Blut, aber ohne ein Herz!  Von Patrick van Nieuwenhuizen.';
catalog['3D bond-line structures'] = '3D bond-line structures';
catalog['3D divergence theorem intuition'] = '3D Divergenzsatz intuitiv';
catalog['3D geometric models'] = '3D geometric models';
catalog['3D path counting brain teaser'] = '3D path counting brain teaser';
catalog['3rd grade (U.S.)'] = '3. Klasse (US)';
catalog['3rd grade is full of some of the most important ideas in mathematics.  You\'ll extend the addition and subtraction that you did in second grade to more than two digits.  You will also get your first exposure to the ideas of multiplication, division, and fractions, which will be used the rest of your mathematical lives (we\'ll even use some letters as placeholders for unknown numbers along the way).  3rd grade is also when we first think about area (how much "space" something takes on a surface) and perimeter (the distance around a shape).  All of that will be rounded out by making sure that you can apply these ideas in the real world and see patterns in the mathematical world. (Content was selected for this grade level based on a typical curriculum in the United States.)'] = 'DIe 3. Klasse ist voll von einigen der wichtigsten Ideen der Mathematik.\nDu wirst die Addition und Subtraktion, die du in der zweiten Klasse gelernt hast, ausweiten auf zweistellige Zahlen. Du wirst zudem das erste mal mit den Ideen der Multiplikation, Division und Br\u00fcchen in Kontakt kommen, die du den Rest deines mathematischen Lebens benutzen wirst (wir werden am Weg dorthin sogar einige Buchstaben als Platzhalter f\u00fcr unbekannte Zahlen benutzen). In der 3. Klasse denken wir zudem das erste mal \u00fcber Fl\u00e4chen nach (wie viel "Platz" etwas auf einer Oberfl\u00e4che einnimmt) und Umfang (die L\u00e4nge um einen Umriss). All das wird dadurch abgerundet werden, dass sicher gestellt wird, dass du diese Ideen in der echten Welt anwenden und Muster in der mathematischen sehen kannst. (Inhalt wurde f\u00fcr diese Stufe an ein typisches Curriculum in den Vereinigten Staaten angepasst.)';
catalog['3rd graders build robots at Santa Rita Elementary School'] = 'Drittkl\u00e4ssler bauen Roboter an der Santa Rita Grundschule';
catalog['4 Economists'] = '4 Economists';
catalog['4 Equivalent rental costs'] = '4 Equivalent rental costs';
catalog['4 Kay\'s swimming brothers'] = '4 Kay\'s swimming brothers';
catalog['4 Negative numbers and absolute value'] = '4 Negative numbers and absolute value';
catalog['4 Polygon perimeter'] = '4 Polygon perimeter';
catalog['4 Rate of change in water tank'] = '4 Rate of change in water tank';
catalog['4 Roaming deer'] = '4 Roaming deer';
catalog['4 Solving for an angle'] = '4 Solving for an angle';
catalog['4 Thinking about sets'] = '4 Thinking about sets';
catalog['4 Weekly cookie inventory'] = '4 Weekly cookie inventory';
catalog['4 digit times 1 digit example'] = '4-stellig mal 1-stellig Beispiel';
catalog['4 example problems of determining the greatest common factor of two numbers by factoring the 2 numbers first'] = '4 Problembeispiele f\u00fcr der Ermittlung des gr\u00f6\u00dften gemeinsamen Teilers\nvon zwei vorher in ihre Primfaktoren zerlegten Zahlen';
catalog['4 lifestyle changes to help manage hypertension'] = '4 lifestyle changes to help manage hypertension';
catalog['4 y exceeding x'] = '4 y exceeding x';
catalog['4-6, proof by contradiction'] = '4-6, Beweis durch Widerspruch';
catalog['4. Our Solar System & Earth'] = '4. Our Solar System & Earth';
catalog['4.0 Earth and the solar system'] = '4.0 Earth and the solar system';
catalog['4.1 How our solar system formed'] = '4.1 How our solar system formed';
catalog['4.2 What was the young earth like?'] = '4.2 What was the young earth like?';
catalog['4.3 Why is plate tectonics important?'] = '4.3 Why is plate tectonics important?';
catalog['4.4 Ways of knowing: Our solar system'] = '4.4 Ways of knowing: Our solar system';
catalog['400 years of Astronomy using Telescopes. To commemorate this International Year of Astronomy, three of NASA\'s flagship observatories have put a new spin on how we see the Pinwheel Galaxy!<br>'] = '400 years of Astronomy using Telescopes. To commemorate this International Year of Astronomy, three of NASA\'s flagship observatories have put a new spin on how we see the Pinwheel Galaxy!<br>';
catalog['400-1300 Medieval Art Overview Quiz'] = '400-1300 Medieval Art Overview Quiz';
catalog['400-1300 Medieval Era'] = '400-1300 Mittelalter';
catalog['401(k)s (and how they compare to IRAs)'] = '401(k)s (and how they compare to IRAs)';
catalog['401(k)s'] = '401(k)s';
catalog['41-45, polygons, exterior angles'] = '41-45, Polygone, Au\u00dfen-Winkel';
catalog['42-46, pg. 281'] = '42-46, S. 281';
catalog['42-48, pgs. 157-158'] = '42-48, S. 157-158';
catalog['44-47, factoring quadratics'] = '44-47, Faktorisierung von quadratischen Termin';
catalog['45-45-90 triangle side ratios'] = '45-45-90 Dreieck Seitenverh\u00e4ltnisse';
catalog['45-45-90 triangles'] = '45-45-90 Dreiecke';
catalog['46-50, deducing the measure of angles'] = '46-50, Herleitung der Winkelma\u00dfe';
catalog['47-50, pg. 281'] = '47-50, S. 281';
catalog['48-52, completing the square'] = '48-52, Quadratische Erg\u00e4nzung';
catalog['49-54, pgs. 158-159'] = '49-54, S. 158-159';
catalog['4A: Discover the force of tension and how we can use it to solve very interesting problems!  By Sal.'] = '4A: Entdecke die Zugkraft und wie wir sie nutzen k\u00f6nnen, um sehr interessante Problemstellungen zu l\u00f6sen!  Von Sal.';
catalog['4A: Find out what makes vectors different from scalars!  Find out how to break vectors into components, and go over the different ways to represent vectors.  By Sal.'] = '4A: Finde heraus, was Vektoren von Skalaren unterscheidet!  Finde heraus, wie Vektoren in ihre Bestandteile zerlegt werden k\u00f6nnen und fahre fort, Vektoren auf unterschiedliche Arten darzustellen.  Von Sal.';
catalog['4A: Go back in time and rediscover Newton\'s three laws!  These powerful laws help explain inertia, equal and opposite forces, and calculation of acceleration based upon forces.  By Sal.'] = '4A: Reise zur\u00fcck in die Vergangenheit und entdecke die drei Gesetze von Newton neu!  Diese m\u00e4chtigen Gesetze helfen uns Masse, Gleichgewicht und gegens\u00e4tzliche Kr\u00e4fte zu erkl\u00e4ren und die Berechnung von auf Kr\u00e4ften basierender Beschleunigung.  Von Sal.';
catalog['4A: Learn about the concepts of work, mechanical advantage, and power.  After understanding the principle of conservation of energy, you can apply it to different types of energy including kinetic energy, gravitational potential energy, and spring potential energy.  Finally, learn about the conservative force as well as how to find mechanical advantage.  By Sal and David SantoPietro.'] = '4A: Learn about the concepts of work, mechanical advantage, and power.  After understanding the principle of conservation of energy, you can apply it to different types of energy including kinetic energy, gravitational potential energy, and spring potential energy.  Finally, learn about the conservative force as well as how to find mechanical advantage.  By Sal and David SantoPietro.';
catalog['4A: Learn about the forces that an object experiences on a ramp or inclined plane. Examples include inclines with and without friction.  By Sal.'] = '4A: Learn about the forces that an object experiences on a ramp or inclined plane. Examples include inclines with and without friction.  By Sal.';
catalog['4A: Learn about the normal force, and try some examples that demonstrate how the normal force is affected by the motion of an elevator, as well as how the normal force affects friction.  By Sal.'] = '4A: Learn about the normal force, and try some examples that demonstrate how the normal force is affected by the motion of an elevator, as well as how the normal force affects friction.  By Sal.';
catalog['4A: Learn how to calculate acceleration, and how distance, velocity, and acceleration can be related to one another using velocity graphs.  By Sal.'] = '4A: Lerne die Beschleunigung zu berechnen und wie Entfernung, Geschwindigkeit und Beschleunigung unter Verwendung von Geschwindigkeitsdiagrammen zueinander in Beziehung gesetzt werden k\u00f6nnen.  Von Sal.';
catalog['4A: Think to calculate speed and velocity, and then go on to learn about average and instantaneous speed and velocity.  By Sal and David SantoPietro.\n'] = '4A: Think to calculate speed and velocity, and then go on to learn about average and instantaneous speed and velocity.  By Sal and David SantoPietro.\n';
catalog['4B: Learn the physics behind fluids at rest. Some of the ideas explored are density, pressure, Pascal\'s principle, Archimedes\' principle, buoyant forces, and specific gravity.  By Sal.'] = '4B: Learn the physics behind fluids at rest. Some of the ideas explored are density, pressure, Pascal\'s principle, Archimedes\' principle, buoyant forces, and specific gravity.  By Sal.';
catalog['4B: Let\'s learn about gas phase chemistry!  Discover the history and application of the ideal gas law. We\'ll walk through topics like temperature, STP, partial pressure, and the difference between real gases and their ideal counterparts.  By Ryan Patton.'] = '4B: Let\'s learn about gas phase chemistry!  Discover the history and application of the ideal gas law. We\'ll walk through topics like temperature, STP, partial pressure, and the difference between real gases and their ideal counterparts.  By Ryan Patton.';
catalog['4C: Learn how a capacitor works, and the mathematical formulas that explain their behavior.  By David Santo Pietro.'] = '4C: Verstehe, wie Kondensatoren funktionieren und lerne die mathematischen Formeln kennen, die ihr Verhalten beschreiben.  Von David Santo Pietro.';
catalog['4D: These videos go over the images formed by curved mirrors. It will be explained what a real and virtual image is and how to draw ray tracings to determine the location and size of the image formed. By David Santo Pietro.'] = '4D: These videos go over the images formed by curved mirrors. It will be explained what a real and virtual image is and how to draw ray tracings to determine the location and size of the image formed. By David Santo Pietro.';
catalog['4E: Discover how to assign oxidation states/numbers in redox reactions, then go on to balance redox reactions!  By Jay.'] = '4E: Discover how to assign oxidation states/numbers in redox reactions, then go on to balance redox reactions!  By Jay.';
catalog['4E: Learn about how the periodic table is organized and then explore ionization energy and electron affinity.  By Jay.'] = '4E: Learn about how the periodic table is organized and then explore ionization energy and electron affinity.  By Jay.';
catalog['4E: Think about the concept of the "mole" and how we can use it to help us balance chemical reactions.  By Sal.'] = '4E: Think about the concept of the "mole" and how we can use it to help us balance chemical reactions.  By Sal.';
catalog['4th grade (U.S.)'] = '4. Klasse (US)';
catalog['4th grade is the time to start really fine-tuning your arithmetic skills.  Not only will you be a multi-digit addition and subtraction rockstar, but you\'ll extend the multiplication and division that you started in 3rd grade to several digits.  You\'ll also discover that you sometimes have something left over (called a "remainder") when you divide. \n\n\nIn 3rd grade you learned what a fraction is.  Now you\'ll start adding, subtracting, multiplying, and comparing them.  You\'ll also see how they relate to decimals.\n\n\nOn other fronts, you\'ll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions.  Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced.\n\n\nAs always, we\'ll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers).\n\nThe fun must not stop!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)'] = 'In der 4. Schulstufe beginnt man seine arithmetischen F\u00e4higkeiten wirklich zu sch\u00e4rfen. Du wirst nicht nur mehrstelliger Additions und Subtraktions Rockstar sein, sondern Du wirst auch die Multiplikation und Division aus der 3. Schulstufe auf mehrere Stellen erweitern. Du wirst auch entdecken, dass manchmal eine Teil \u00fcberbleibt (genannt \'Rest\'), wenn du dividierst. In der 3. Schulstufe hast Du gelernt was ein Bruch ist. Jetzt wirst du sie addieren, subtrahieren, multiplizieren und vergleichen. Du wirst auch lernen wie sie sich im zu Dezimalzahlen verhalten. Au\u00dferdem wirst Du lernen wie man zwischen verschiedenen Einheiten umwandelt (was super wichtig ist, wenn du die Gr\u00f6\u00dfe und Geschwindigkeit von Roboter-Einh\u00f6rnern in verschiedenen L\u00e4ndern vergleichst) und deine Reise die Betrachtung verschiedener zweidimensionaler Formen fortsetzen. Einige grundlegende Konzepte der Geometrie (wie Linien, Strahlen und Winkel) werden auch vorstellt. Wie immer werden wir das alles mit einer guten Portion angewandter Textbeispiele und der Erkundung von Zahlenmustern und Eigenschaften (inklusive der Ideen von Faktoren, Vielfachen und Primzahlen) abrunden. Der Spa\u00df h\u00f6rt nie auf! (Der Inhalt f\u00fcr diese Schulstufe wurde anhand eines typischen Lehrplans der Vereinigten Staaten ausgew\u00e4hlt.) ';
catalog['5 Angle in triangle'] = '5 Angle in triangle';
catalog['5 Book costs'] = '5 Book costs';
catalog['5 Distance between points'] = '5 Distance between points';
catalog['5 Equation that describes number pairs'] = '5 Equation that describes number pairs';
catalog['5 Equations that match constraints'] = '5 Equations that match constraints';
catalog['5 Home colors'] = '5 Home colors';
catalog['5 Missing information'] = '5 Missing information';
catalog['5 Not a solution to an equation'] = '5 Not a solution to an equation';
catalog['5 Selling tickets'] = '5 Selling tickets';
catalog['5 Triangle angle measure'] = '5 Triangle angle measure';
catalog['5 Values on number line'] = '5 Values on number line';
catalog['5 common flu vaccine excuses'] = '5 common flu vaccine excuses';
catalog['5 human impacts on the environment'] = '5 menschliche Einfl\u00fcsse auf die Umwelt';
catalog['5 volt power distribution board'] = '5 volt power distribution board';
catalog['5. Life'] = '5. Life';
catalog['5.0 Life and big history'] = '5.0 Life and big history';
catalog['5.1 What is life?'] = '5.1 What is life?';
catalog['5.2 How did life begin and change'] = '5.2 How did life begin and change';
catalog['5.2 How did life begin and change?'] = '5.2 How did life begin and change?';
catalog['5.3 How do earth and life interact?'] = '5.3 How do earth and life interact?';
catalog['5.4 Ways of knowing: Life'] = '5.4 Ways of knowing: Life';
catalog['51-54, pgs. 281-282'] = '51-54, S. 281-282';
catalog['51-55, Pythagorean Theorem, compass constructions'] = '51-55, Pythagoras, Kompass Konstruktionen';
catalog['53-57, Quadratic Equation'] = '53-57, Quadratische Gleichung';
catalog['55-58, pg. 282'] = '55-58, S. 282';
catalog['55-60, pg. 159'] = '55-60, S. 159';
catalog['56-60, compass construction, coordinates'] = '56-60, Kompass Konstruktion, Koordinaten';
catalog['58-62, x-intercepts of a quadratic function'] = '58-62, X-Achsenabschnitte einer quadratischen Funktion';
catalog['59-62, pg. 282'] = '59-62, S. 282';
catalog['5B: Get an overview of isomers and stereochemistry including structural isomers, stereoisomers, diastereomers, and conformational isomers. By Jay.'] = '5B: Get an overview of isomers and stereochemistry including structural isomers, stereoisomers, diastereomers, and conformational isomers. By Jay.';
catalog['5B: Learn about covalent bonds and SP hybridization.  By Jay.'] = '5B: Learn about covalent bonds and SP hybridization.  By Jay.';
catalog['5B: Learn how to draw Lewis dot structures, assign formal charges, draw resonance structures, and analyze the geometry of molecules and ions using VSEPR.  By Jay.'] = '5B: Learn how to draw Lewis dot structures, assign formal charges, draw resonance structures, and analyze the geometry of molecules and ions using VSEPR.  By Jay.';
catalog['5C: Learn how to separate and purify chemical compounds using organic chemistry laboratory techniques, including extraction, distillation, chromatography, and gel electrophoresis.  By Angela Guerrero.'] = '5C: Learn how to separate and purify chemical compounds using organic chemistry laboratory techniques, including extraction, distillation, chromatography, and gel electrophoresis.  By Angela Guerrero.';
catalog['5D: Get a strong understanding of the nomenclature, properties, and reactions of alcohols and phenols, along with the criteria for determining aromaticity in benzene and aromatic heterocycles.  By Jay.'] = '5D: Get a strong understanding of the nomenclature, properties, and reactions of alcohols and phenols, along with the criteria for determining aromaticity in benzene and aromatic heterocycles.  By Jay.';
catalog['5D: How to form enolate anions and how to use them to predict the products of aldol condensations. By Jay.'] = '5D: How to form enolate anions and how to use them to predict the products of aldol condensations. By Jay.';
catalog['5D: Learn how to name aldehydes and ketones, and then dive deeper and explore how they are formed and interact in chemical reactions.  By Jay.'] = '5D: Learn how to name aldehydes and ketones, and then dive deeper and explore how they are formed and interact in chemical reactions.  By Jay.';
catalog['5D: The nomenclature, properties, and reactions of carboxylic acid derivatives'] = '5D: The nomenclature, properties, and reactions of carboxylic acid derivatives';
catalog['5D: This tutorial will cover the important nomenclature, properties, and reactions of carboxylic acids'] = '5D: This tutorial will cover the important nomenclature, properties, and reactions of carboxylic acids';
catalog['5D: What are amino acids? How do they come together to form proteins? Learn about how amino acids synthesized, and then how they come together to form proteins. Discover how proteins are structured and what functions they perform on the cellular level.  By Tracy Kim Kovach.'] = '5D: What are amino acids? How do they come together to form proteins? Learn about how amino acids synthesized, and then how they come together to form proteins. Discover how proteins are structured and what functions they perform on the cellular level.  By Tracy Kim Kovach.';
catalog['5th grade (U.S.)'] = '5. Klasse (US)';
catalog['5th grade capstone part 2'] = '5th grade capstone part 2';
catalog['5th grade capstone'] = '5th grade capstone';
catalog['6 Area of shaded region'] = '6 Area of shaded region';
catalog['6 Area of small circles'] = '6 Area of small circles';
catalog['6 Carton quantity'] = '6 Carton quantity';
catalog['6 Divisibility of unknown number'] = '6 Divisibility of unknown number';
catalog['6 Equivalent expressions'] = '6 Equivalent expressions';
catalog['6 Percent expenditure to actual expenditure'] = '6 Percent expenditure to actual expenditure';
catalog['6 Possible median value'] = '6 Possible median value';
catalog['6 Sea Islands'] = '6 Sea Islands';
catalog['6 Solving for 2x'] = '6 Solving for 2x';
catalog['6 y intercept'] = '6 y intercept';
catalog['6-9, pg. 278'] = '6-9, S. 278';
catalog['6. Early Humans'] = '6. Early Humans';
catalog['6.0 Collective learning and big history'] = '6.0 Collective learning and big history';
catalog['6.1 How did our ancestors evolve'] = '6.1 How did our ancestors evolve';
catalog['6.2 What makes humans different?'] = '6.2 What makes humans different?';
catalog['6.3 How did the first humans live?'] = '6.3 How did the first humans live?';
catalog['6.4 Ways of knowing early humans'] = '6.4 Ways of knowing early humans';
catalog['60 minutes: Google\'s Eric Schmidt on Khan Academy'] = '60 Minuten: Googles Eric Schmidt \u00fcber die Khan Academy';
catalog['60 minutes: Khan Academy in the classroom'] = '60 Minuten: Khan Akademie im Klassenzimmer';
catalog['60 minutes: Khan Academy\'s "world-changing" plan for schools'] = '60 Minuten: Die weltver\u00e4ndernden Pl\u00e4ne der Khan Akademie f\u00fcr Schulen';
catalog['60 minutes: School of the future'] = '60 Minuten: Schule der Zukunft';
catalog['60 minutes: The future of education?'] = '60 Minuten: die Zukunft der Bildung?';
catalog['61-64, pg. 160'] = '61-64, S. 160';
catalog['61-65, basic trigonometry'] = '61-65, grundlegende Trigonometrie';
catalog['63-68, pgs. 282-283'] = '63-68, S. 282-283';
catalog['65-69, pgs. 160-161'] = '65-69, S. 160-161';
catalog['66-70, more trigonometry'] = '66-70, mehr Trigonometrie';
catalog['68-72, pg. 283'] = '68-72, S. 283';
catalog['6A: Learn about how we hear, including the structure of the outer, middle, and inner ear, as well as the basics of auditory processing & cochlear implants.'] = '6A: Learn about how we hear, including the structure of the outer, middle, and inner ear, as well as the basics of auditory processing & cochlear implants.';
catalog['6A: Learn about how we perceive our various senses, including the theories, laws, and organizational principles that underly our ability to make sense of the world around us. By Ron Sahyouni'] = '6A: Learn about how we perceive our various senses, including the theories, laws, and organizational principles that underly our ability to make sense of the world around us. By Ron Sahyouni';
catalog['6A: Learn about our senses of smell (olfaction) and taste (gustation), including the anatomy and underlying molecular basis behind these important senses.  By Ronald Sahyouni.'] = '6A: Learn about our senses of smell (olfaction) and taste (gustation), including the anatomy and underlying molecular basis behind these important senses.  By Ronald Sahyouni.';
catalog['6A: Photons are hitting your eye as you read this!  Learn about our sense of sight, including the cells responsible for converting light into a neural impulse, the structure of the eye, and how we break down images to make sense of them.  By Ronald Sahyouni.'] = '6A: Photons are hitting your eye as you read this!  Learn about our sense of sight, including the cells responsible for converting light into a neural impulse, the structure of the eye, and how we break down images to make sense of them.  By Ronald Sahyouni.';
catalog['6A: We perceive the environment through our bodily senses, including our sensation of pain, temperature, pressure, balance, and movement.  Discover how our body gathers this information and processes it so that we can make sense of the world.  By Ronald Sahyouni.'] = '6A: We perceive the environment through our bodily senses, including our sensation of pain, temperature, pressure, balance, and movement.  Discover how our body gathers this information and processes it so that we can make sense of the world.  By Ronald Sahyouni.';
catalog['6B: Explore cognitive development and intelligence, as well as how our minds solve problems, make decisions, and represent knowledge.'] = '6B: Explore cognitive development and intelligence, as well as how our minds solve problems, make decisions, and represent knowledge.';
catalog['6B: Explore states of consciousness, circadian rhythms, sleep stages, and sleep disorders.  By Carole Yue.'] = '6B: Explore states of consciousness, circadian rhythms, sleep stages, and sleep disorders.  By Carole Yue.';
catalog['6B: Explore the structure of human memory; processes involved in normal encoding, retrieval, forgetting, and aging; and diseases affecting memory.'] = '6B: Explore the structure of human memory; processes involved in normal encoding, retrieval, forgetting, and aging; and diseases affecting memory.';
catalog['6B: Have you ever tried to multi-task?  Explore the concept of selective and divided attention, as well as the role of language in cognition and development.  By Carole Yue.'] = '6B: Have you ever tried to multi-task?  Explore the concept of selective and divided attention, as well as the role of language in cognition and development.  By Carole Yue.';
catalog['6C: Learn about the physiological, behavioral, and cognitive components of emotion.  Appreciate how different areas of our brain play a role in emotion.  Understand the basic theories of emotion.'] = '6C: Learn about the physiological, behavioral, and cognitive components of emotion.  Appreciate how different areas of our brain play a role in emotion.  Understand the basic theories of emotion.';
catalog['6th grade (U.S.)'] = '6. Klasse (US)';
catalog['6th grade capstone'] = '6th grade capstone';
catalog['7 Area of the shaded region'] = '7 Area of the shaded region';
catalog['7 Circumference of circle'] = '7 Circumference of circle';
catalog['7 Coordinate on number line'] = '7 Coordinate on number line';
catalog['7 Dramatic monologue'] = '7 Dramatic monologue';
catalog['7 Exponential equation with different bases'] = '7 Exponential equation with different bases';
catalog['7 Figuring out angles'] = '7 Figuring out angles';
catalog['7 Fraction as percent'] = '7 Fraction as percent';
catalog['7 Maximum distance on two spheres'] = '7 Maximum distance on two spheres';
catalog['7 Perimeter'] = '7 Perimeter';
catalog['7 Solution to simultaneous equations'] = '7 Solution to simultaneous equations';
catalog['7-10, more proofs (10 continued in next video)'] = '7-10, weitere Beweise (10 wird im n\u00e4chsten Video fortgesetzt)';
catalog['7-11, pg. 153'] = '7-11, S. 153';
catalog['7. Agriculture & Civilization'] = '7. Agriculture & Civilization';
catalog['7.0 Agriculture'] = '7.0 Agriculture';
catalog['7.1 Why was agriculture so important?'] = '7.1 Why was agriculture so important?';
catalog['7.2 Where and why did the first cities appear?'] = '7.2 Where and why did the first cities appear?';
catalog['7.3 Ways of knowing: How do we know about agriculture and civilization?'] = '7.3 Ways of knowing: How do we know about agriculture and civilization?';
catalog['70-75, pg. 161'] = '70-75, S. 161';
catalog['71-75, area, chords, tangents of circles'] = '71-75, Bereiche, Sehnen, Tangenten der Kreise';
catalog['73-76, pg. 284'] = '73-76, S. 284';
catalog['76-80, pg. 162'] = '76-80, S. 162';
catalog['76-80, secants and graph translations'] = '76-80, secants and graph translations';
catalog['77-79, pg. 284'] = '77-79, S. 284';
catalog['7A: Curious about your personality?  Throughout history, famous psychologists and schools of thought have tried to figure out how to organize and categorize personalities.  Review these theories and see which one resonates the most with you!  By Shreena Desai.'] = '7A: Curious about your personality?  Throughout history, famous psychologists and schools of thought have tried to figure out how to organize and categorize personalities.  Review these theories and see which one resonates the most with you!  By Shreena Desai.';
catalog['7A: Learn about the way our genes and experiences shape the way we respond to our environment.  By Ryan Patton.'] = '7A: Learn about the way our genes and experiences shape the way we respond to our environment.  By Ryan Patton.';
catalog['7A: Review your understanding of the endocrine system, as we think about the context of glands and hormones in behavior.  By Ryan Patton.'] = '7A: Review your understanding of the endocrine system, as we think about the context of glands and hormones in behavior.  By Ryan Patton.';
catalog['7A: What makes us do the things we do, or feel the way we feel in situations? Explore how the physiological and psycho-social theories, factors, and situations behind how motivation, attitudes, and behavior are inter-related.  By Shreena Desai.'] = '7A: What makes us do the things we do, or feel the way we feel in situations? Explore how the physiological and psycho-social theories, factors, and situations behind how motivation, attitudes, and behavior are inter-related.  By Shreena Desai.';
catalog['7B: Dive into the fascinating and relevant world of social psychology! You may have noticed many of these concepts in your everyday life, but perhaps you did not know the proper terminology or the specific factors that motivate people to behave the way they do in groups. In this tutorial, you will learn some important aspects of social psychology.  By Jeffrey Walsh.'] = '7B: Dive into the fascinating and relevant world of social psychology! You may have noticed many of these concepts in your everyday life, but perhaps you did not know the proper terminology or the specific factors that motivate people to behave the way they do in groups. In this tutorial, you will learn some important aspects of social psychology.  By Jeffrey Walsh.';
catalog['7B: Learn about how "normal" and "deviant" behavior is defined in today\'s society.  This includes a discussion of the range of normal and abnormal behavior, common theories used to understand basic deviance, and discussion of some types of deviance that occur in groups.  By Jeff Walsh.'] = '7B: Learn about how "normal" and "deviant" behavior is defined in today\'s society.  This includes a discussion of the range of normal and abnormal behavior, common theories used to understand basic deviance, and discussion of some types of deviance that occur in groups.  By Jeff Walsh.';
catalog['7C: Learn about learning!  How does our environment influence our behavior?  What are the consequences of our behavior?  Understand the basics of classical and operant conditioning.  Appreciate how we learn through observation, and how it relates to the issue of violence in the media.  By Jeffrey Walsh.'] = '7C: Learn about learning!  How does our environment influence our behavior?  What are the consequences of our behavior?  Understand the basics of classical and operant conditioning.  Appreciate how we learn through observation, and how it relates to the issue of violence in the media.  By Jeffrey Walsh.';
catalog['7th grade (U.S.)'] = '7. Klasse (US)';
catalog['7th grade takes much of what you learned in 6th grade to an entirely new level.  In particular, you\'ll now learn to do everything with negative numbers (we\'re talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!).  You\'ll also take your algebraic skills to new heights by tackling two-step equations.\n\n7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don\'t know probability) and dig deeper into the world of data and statistics. \n\nOnward!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)'] = 'Die 7. Klasse bringt viel von dem, was du in der 6. Klasse gelernt hast, auf ein v\u00f6llig neues Niveau.  Insbesondere lernst du jetzt alles mit negativen Zahlen zu tun (wir reden von allem--addieren, subtrahieren, multiplizieren, dividieren, Br\u00fcche, Dezimalzahlen... alles!).  Du machst auch einen H\u00f6henflug mit deinen algebraischen F\u00e4higkeiten indem du zweistufige Gleichungen angehst.\n\nIn der 7. Klasse beginnst du auch \u00fcber Wahrscheinlichkeit nachzudenken (was ganz wichtig daf\u00fcr ist, um zu realisieren, dass Casinos und Lotterien tats\u00e4chlich nichts anderes sind, als Wege, Leuten das Geld aus der Tasche zu ziehen, die keine Ahnung von Wahrscheinlichkeit haben) und tiefer in die Welt der Daten und Statistiken einzutauchen. \n\nVorw\u00e4rts!\n\n (Der Inhalt wurde f\u00fcr diese Klassenstufe, basierend auf einem typischen Lehrplan in den Vereinigten Staaten ausgew\u00e4hlt.)';
catalog['8 Area of inscribed circle'] = '8 Area of inscribed circle';
catalog['8 Comparing functions'] = '8 Comparing functions';
catalog['8 Comparing percent discounts'] = '8 Comparing percent discounts';
catalog['8 Least possible value for variable'] = '8 Least possible value for variable';
catalog['8 Mathematical expression from words'] = '8 Mathematical expression from words';
catalog['8 More unknowns than equations'] = '8 More unknowns than equations';
catalog['8 Pounds of muscle'] = '8 Pounds of muscle';
catalog['8 Romantic poets'] = '8 Romantic poets';
catalog['8 Solving for proportionality constant'] = '8 Solving for proportionality constant';
catalog['8 Total videos rented'] = '8 Total videos rented';
catalog['8. Expansion & Interconnection'] = '8. Expansion & Interconnection';
catalog['8.1 How did the world become interconnected?'] = '8.1 How did the world become interconnected?';
catalog['8.2 Why was commerce so important?'] = '8.2 Why was commerce so important?';
catalog['8.3 Ways of knowing: Expansion and interconnection'] = '8.3 Ways of knowing: Expansion and interconnection';
catalog['80-83, pg. 284'] = '80-83, S. 284';
catalog['81-86, pgs. 162-163'] = '81-86, S. 162-163';
catalog['84-86, pg. 285'] = '84-86, S. 285';
catalog['87-90, pg. 285'] = '87-90, S. 285';
catalog['87-91, pg. 163'] = '87-91, S. 163';
catalog['8A: Explore the ideas surrounding the concept of Self-Identity. Who are we? How do we develop our morals and patterns of learning? What influences our behaviors in social situations? Discover the importance of different phases of our life in our transformation into adulthood and old age.'] = '8A: Explore the ideas surrounding the concept of Self-Identity. Who are we? How do we develop our morals and patterns of learning? What influences our behaviors in social situations? Discover the importance of different phases of our life in our transformation into adulthood and old age.';
catalog['8th grade (U.S.)'] = '8. Klasse (US)';
catalog['8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry.  If you get this stuff (and you should because you\'re incredibly persistent), the rest of your life will be easy.  Okay, maybe not your whole life (no way to avoid the miseries of wedding planning), but at least your mathematical life.  Seriously, we\'re not kidding.  If you get the equations and  functions and systems that we cover here, most of high school will feel intuitive (even relaxing).  If you don\'t, well.. at least you have high school to catch up. :)\n\nOn top of that, we will sharpen many of the skills that you last saw in 6th and 7th grades.  This includes extending our knowledge of exponents to negative exponents and exponent properties and our knowledge of the number system to irrational numbers!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)'] = '8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry.  If you get this stuff (and you should because you\'re incredibly persistent), the rest of your life will be easy.  Okay, maybe not your whole life (no way to avoid the miseries of wedding planning), but at least your mathematical life.  Seriously, we\'re not kidding.  If you get the equations and  functions and systems that we cover here, most of high school will feel intuitive (even relaxing).  If you don\'t, well.. at least you have high school to catch up. :)\n\nOn top of that, we will sharpen many of the skills that you last saw in 6th and 7th grades.  This includes extending our knowledge of exponents to negative exponents and exponent properties and our knowledge of the number system to irrational numbers!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)';
catalog['9 Angles between intersecting lines'] = '9 Angles between intersecting lines';
catalog['9 Calculating hourly rate'] = '9 Calculating hourly rate';
catalog['9 Constitutional Convention'] = '9 Constitutional Convention';
catalog['9 Evaluating expression in 2 variables'] = '9 Evaluating expression in 2 variables';
catalog['9 Magazine subscriptions'] = '9 Magazine subscriptions';
catalog['9 Painting red cubes blue'] = '9 Painting red cubes blue';
catalog['9 Perfect squares in set'] = '9 Perfect squares in set';
catalog['9 Similar triangles'] = '9 Similar triangles';
catalog['9 Substituting function definition'] = '9 Substituting function definition';
catalog['9 quadrilateral area'] = '9 quadrilateral area';
catalog['9. Acceleration'] = '9. Acceleration';
catalog['9.0 Acceleration'] = '9.0 Acceleration';
catalog['9.1 Why did change accelerate'] = '9.1 Why did change accelerate';
catalog['9.2 How was the modern world created?'] = '9.2 How was the modern world created?';
catalog['9.3 Ways of knowing: The modern revolution'] = '9.3 Ways of knowing: The modern revolution';
catalog['9.999... reasons that .999... = 1'] = '9,999... Gr\u00fcnde daf\u00fcr, dass 0,999... = 1';
catalog['91-94, pgs. 285-286'] = '91-94, S. 285-286';
catalog['92-95, pg. 164'] = '92-95, S. 164';
catalog['94, pg. 286'] = '94, S. 286';
catalog['95-98, pg. 286'] = '95-98, S. 286';
catalog['96-99, pgs. 164-165'] = '96-99, S. 164-165';
catalog['99-102, pg. 286'] = '99-102, S. 286';
catalog['9A: What is a society? How do we humans all live together in such highly populated cities? How does a society change? Learn about some sociologic theories that have been proposed that try to address some of these important questions!  By Sydney Brown.'] = '9A: What is a society? How do we humans all live together in such highly populated cities? How does a society change? Learn about some sociologic theories that have been proposed that try to address some of these important questions!  By Sydney Brown.';
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This video explains the history of private insurance, how risk-sharing works, and the incentives for employers and employees to share the responsibility of health care coverage.&nbsp;<!--EndFragment-->';
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These patients often require special care outside of the hospital setting, including rehabilitation, post-acute care, and long-term care. 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UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"></w:LsdException>\n  <w:LsdException Locked="false" Priority="21" SemiHidden="false"\n   UnhideWhenUsed="false" QFormat="true" Name="Intense Emphasis"></w:LsdException>\n  <w:LsdException Locked="false" Priority="31" SemiHidden="false"\n   UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"></w:LsdException>\n  <w:LsdException Locked="false" Priority="32" SemiHidden="false"\n   UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"></w:LsdException>\n  <w:LsdException Locked="false" Priority="33" SemiHidden="false"\n   UnhideWhenUsed="false" QFormat="true" Name="Book Title"></w:LsdException>\n  <w:LsdException Locked="false" Priority="37" Name="Bibliography"></w:LsdException>\n  <w:LsdException Locked="false" Priority="39" QFormat="true" Name="TOC Heading"></w:LsdException>\n </w:LatentStyles></xml><![endif]--><!--[if gte mso 10]><style>/* Style Definitions */\ntable.MsoNormalTable\n\t{mso-style-name:"Table Normal";\n\tmso-tstyle-rowband-size:0;\n\tmso-tstyle-colband-size:0;\n\tmso-style-noshow:yes;\n\tmso-style-priority:99;\n\tmso-style-parent:"";\n\tmso-padding-alt:0in 5.4pt 0in 5.4pt;\n\tmso-para-margin-top:0in;\n\tmso-para-margin-right:0in;\n\tmso-para-margin-bottom:10.0pt;\n\tmso-para-margin-left:0in;\n\tline-height:115%;\n\tmso-pagination:widow-orphan;\n\tfont-size:11.0pt;\n\tfont-family:Calibri;\n\tmso-ascii-font-family:Calibri;\n\tmso-ascii-theme-font:minor-latin;\n\tmso-hansi-font-family:Calibri;\n\tmso-hansi-theme-font:minor-latin;}</style><![endif]--><!--StartFragment-->Caring for chronically ill patients raises significant challenges and is consuming a greater percentage of health care services and spending. These patients often require special care outside of the hospital setting, including rehabilitation, post-acute care, and long-term care. This video explains how and where chronically ill patients receive care, who pays for these services, and how the needs of this population affect the overall health care system.&nbsp;<!--EndFragment-->';
catalog['<a data-cke-saved-href="http://www.getty.edu/art/exhibitions/saenredam/saenredam.html" href="http://www.getty.edu/art/exhibitions/saenredam/saenredam.html">Pieter Saenredam</a> spent his career immortalizing the churches of Holland in the 1600s, creating remarkable spaces of wondrous proportion and luminosity. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = '<a data-cke-saved-href="http://www.getty.edu/art/exhibitions/saenredam/saenredam.html" href="http://www.getty.edu/art/exhibitions/saenredam/saenredam.html">Pieter Saenredam</a> spent his career immortalizing the churches of Holland in the 1600s, creating remarkable spaces of wondrous proportion and luminosity. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['<a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artMakerDetails?maker=544" href="http://www.getty.edu/art/gettyguide/artMakerDetails?maker=544">Read a biography</a> of Jacques-Louis David from the J. Paul Getty Museum. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = '<a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artMakerDetails?maker=544" href="http://www.getty.edu/art/gettyguide/artMakerDetails?maker=544">Read a biography</a> of Jacques-Louis David from the J. Paul Getty Museum. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['<a href="http://www.khanacademy.org/donate" data-cke-saved-href="http://www.khanacademy.org/donate">www.khanacademy.org/donate</a><br>'] = '<a href="http://www.khanacademy.org/spenden" data-cke-saved-href="http://www.khanacademy.org/spenden"> www.khanacademy.org/ spenden</a><br>';
catalog['<br />\nMore free lessons at: http://www.khanacademy.org/video?v=mFJ9tHJA2Sw<br />\nWilliam Hogarth, Marriage A-la-Mode, c. 1743, oil on canvas, 69.9 x 90.8 cm (The National Gallery, London)<br />\n1. The Marriage Settlement<br />\n2. The T&ecirc;te &agrave; T&ecirc;te<br />\n3, The Inspection<br />\n4. The Toilette<br />\n5. The Bagnio<br />\n6. The Lady&#39;s Death<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris'] = '<br />\nMore free lessons at: http://www.khanacademy.org/video?v=mFJ9tHJA2Sw<br />\nWilliam Hogarth, Marriage A-la-Mode, c. 1743, oil on canvas, 69.9 x 90.8 cm (The National Gallery, London)<br />\n1. The Marriage Settlement<br />\n2. The T&ecirc;te &agrave; T&ecirc;te<br />\n3, The Inspection<br />\n4. The Toilette<br />\n5. The Bagnio<br />\n6. The Lady&#39;s Death<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris';
catalog['<br />\nRembrandt van Rijn, Self-Portrait, 1659, oil on canvas, 84.5 x 66 cm (National Gallery of Art)<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris'] = '<br />\nRembrandt van Rijn, Self-Portrait, 1659, oil on canvas, 84.5 x 66 cm (National Gallery of Art)<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris';
catalog['<br data-cke-eol="1">What is the Pentose Phosphate Pathway? Why is it important?'] = '<br data-cke-eol="1">What is the Pentose Phosphate Pathway? Why is it important?';
catalog['<br>&nbsp;limestone, relief panel 9\' 6" high<br>Speakers: Dr. Steven Zucker and Dr. Beth Harris'] = '<br>&nbsp;limestone, relief panel 9\' 6" high<br>Speakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['<br>Kritios Boy, from the Acropolis, Athens, c. 480 B.C.E., 3\' 10" high (Acropolis Museum, Athens),&nbsp;Speakers: Dr. Steven Zucker and Dr. Beth Harris<br>'] = '<br>Kritios Boy, from the Acropolis, Athens, c. 480 B.C.E., 3\' 10" high (Acropolis Museum, Athens),&nbsp;Speakers: Dr. Steven Zucker and Dr. Beth Harris<br>';
catalog['<br>Learn about how nucleotides in a messenger RNA get translated into amino acids in a protein by molecular workhorses called ribosomes.&nbsp;<br data-cke-eol="1">'] = '<br>Learn about how nucleotides in a messenger RNA get translated into amino acids in a protein by molecular workhorses called ribosomes.&nbsp;<br data-cke-eol="1">';
catalog['<br>Once a mRNA has been translated into protein, the processing doesn\'t stop there. Learn about the numerous ways that proteins can be modified after translation and how this affects the activity of a protein.<br data-cke-eol="1">'] = '<br>Once a mRNA has been translated into protein, the processing doesn\'t stop there. Learn about the numerous ways that proteins can be modified after translation and how this affects the activity of a protein.<br data-cke-eol="1">';
catalog['<div id="watch-description-text">\n<p id="eow-description">How does ATP provide energy for biosynthesis reactions? Use an understanding of Gibbs Free Energy to understand how ATP is coupled to energy-requiring processes. By Jasmine Rana.</p>\n</div>\n'] = '<div id="watch-description-text">\n<p id="eow-description">How does ATP provide energy for biosynthesis reactions? Use an understanding of Gibbs Free Energy to understand how ATP is coupled to energy-requiring processes. By Jasmine Rana.</p>\n</div>\n';
catalog['<div id="watch-description-text">\n<p id="eow-description">Learn about how the phospholipids move around in our cell membrane in the fluid mosaic model. By William Tsai.</p>\n</div>\n'] = '<div id="watch-description-text">\n<p id="eow-description">Learn about how the phospholipids move around in our cell membrane in the fluid mosaic model. By William Tsai.</p>\n</div>\n';
catalog['<div id="watch-description-text">\n<p id="eow-description">This video describes the structure and function of astrocytes. By Matt Jensen.</p>\n</div>\n'] = '<div id="watch-description-text">\n<p id="eow-description">This video describes the structure and function of astrocytes. By Matt Jensen.</p>\n</div>\n';
catalog['<em>Bushel with ibex motifs</em>, 4200--3500 B.C.E., Susa I period, necropolis, acropolis mound, Susa, Iran, painted terra-cotta, 28.90 x 16.40 cm, excavations led by Jacques de Morgan, 1906-08 (Mus&eacute;e du Louvre, Paris)<br />\n<br />\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = '<em>Bushel with ibex motifs</em>, 4200--3500 B.C.E., Susa I period, necropolis, acropolis mound, Susa, Iran, painted terra-cotta, 28.90 x 16.40 cm, excavations led by Jacques de Morgan, 1906-08 (Mus&eacute;e du Louvre, Paris)<br />\n<br />\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['<em>Charioteer of Delphi</em>, c. 478-474 B.C.E., bronze (lost wax cast) with silver, glass and copper inlay, 1.8 m high (Delphi Archaeological Museum)<br><br>Speakers: Dr. Beth Harris and Dr. Steven Zucker<br><br>Inscription on base:<br>"Dedicated by Polyzalus, younger brother of Gelon, tyrant of Gela and later of Syracuse, and of Hieron"<br><br>Uncovered in 1896 near the Temple of Apollo at Delphi&nbsp;'] = '<em>Charioteer of Delphi</em>, c. 478-474 B.C.E., bronze (lost wax cast) with silver, glass and copper inlay, 1.8 m high (Delphi Archaeological Museum)<br><br>Speakers: Dr. Beth Harris and Dr. Steven Zucker<br><br>Inscription on base:<br>"Dedicated by Polyzalus, younger brother of Gelon, tyrant of Gela and later of Syracuse, and of Hieron"<br><br>Uncovered in 1896 near the Temple of Apollo at Delphi&nbsp;';
catalog['<em>Folding Screen with the Siege of Belgrade (front) and Hunting Scene (reverse)</em>, c. 1697-1701, Mexico, oil on wood, inlaid with mother-of-pearl, 229.9 x 275.8 cm (Brooklyn Museum and Museo Nacional del Virreinato - INAH, Tepotzotl\u00e1n)<br>Speakers: Dr. Lauren G. Kilroy-Ewbank and Dr. Steven Zucker'] = '<em>Folding Screen with the Siege of Belgrade (front) and Hunting Scene (reverse)</em>, c. 1697-1701, Mexico, oil on wood, inlaid with mother-of-pearl, 229.9 x 275.8 cm (Brooklyn Museum and Museo Nacional del Virreinato - INAH, Tepotzotl\u00e1n)<br>Speakers: Dr. Lauren G. Kilroy-Ewbank and Dr. Steven Zucker';
catalog['<em>Nike Adjusting Her Sandal</em>, from the south side of the parapet of the Temple of Athena Nike, Acropolis, Athens, Greece, c. 410 B.C.E., marble, 3&#39; 6&quot; high (Acropolis Museum, Athens)<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris'] = '<em>Nike Adjusting Her Sandal</em>, from the south side of the parapet of the Temple of Athena Nike, Acropolis, Athens, Greece, c. 410 B.C.E., marble, 3&#39; 6&quot; high (Acropolis Museum, Athens)<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris';
catalog['<em>Poison</em> (1933-35), a short, silent, avant-garde film features the artist Meret Oppenheim and Man Ray himself.&nbsp;Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = '<em>Poison</em> (1933-35), a short, silent, avant-garde film features the artist Meret Oppenheim and Man Ray himself.&nbsp;Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['<font color="#000000" face="Arial"><span style="font-size:15.454545021057129px; white-space:pre-wrap">In which John covers the long, long history of ancient Egypt, including the Old, Middle and New Kingdoms, and even a couple of intermediate periods. Learn about mummies, pharaohs, pyramids and the Nile with John Green. </span></font>'] = '<font color="#000000" face="Arial"><span style="font-size:15.454545021057129px; white-space:pre-wrap">In which John covers the long, long history of ancient Egypt, including the Old, Middle and New Kingdoms, and even a couple of intermediate periods. Learn about mummies, pharaohs, pyramids and the Nile with John Green. </span></font>';
catalog['<p><em>The David Vases</em>, 1351 (Yuan dynasty), porcelain, cobalt and clear glaze, 63.6 x 20.7 cm each, Jingdezhen, Jiangxi province, China (British Museum)</p>\n\n<p>&nbsp;</p>\n\n<p>Speakers: Dr. Beth Harris and Dr. Steven Zucker</p>\n'] = '<p><em>The David Vases</em>, 1351 (Yuan dynasty), porcelain, cobalt and clear glaze, 63.6 x 20.7 cm each, Jingdezhen, Jiangxi province, China (British Museum)</p>\n\n<p>&nbsp;</p>\n\n<p>Speakers: Dr. Beth Harris and Dr. Steven Zucker</p>\n';
catalog['<p><span style="font-size:14px">In which John Green teaches you about one of the least funny subjects in history: slavery. John investigates when and where slavery originated, how it changed over the centuries, and how Europeans and colonists in the Americas arrived at the idea that people could own other people based on skin color.&nbsp;</span></p>\n\n<p>Slavery has existed as long as humans have had civilization, but the Atlantic Slave Trade was the height, or depth, of dehumanizing, brutal, chattel slavery. American slavery ended less than 150 years ago. In some parts of the world, it is still going on. So how do we reconcile that with modern life? In a desperate attempt at comic relief, Boba Fett makes an appearance.</p>\n'] = '<p><span style="font-size:14px">In which John Green teaches you about one of the least funny subjects in history: slavery. John investigates when and where slavery originated, how it changed over the centuries, and how Europeans and colonists in the Americas arrived at the idea that people could own other people based on skin color.&nbsp;</span></p>\n\n<p>Slavery has existed as long as humans have had civilization, but the Atlantic Slave Trade was the height, or depth, of dehumanizing, brutal, chattel slavery. American slavery ended less than 150 years ago. In some parts of the world, it is still going on. So how do we reconcile that with modern life? In a desperate attempt at comic relief, Boba Fett makes an appearance.</p>\n';
catalog['<p>An exploration of how veneration is still very much in evidence today -- and not always in expected places. Celebrity bodies, for instance, are revered in the global cultures of the 21st century, similar in many ways to the veneration of holy individuals in medieval Europe.&nbsp;</p><p><br></p>'] = '<p>An exploration of how veneration is still very much in evidence today -- and not always in expected places. Celebrity bodies, for instance, are revered in the global cultures of the 21st century, similar in many ways to the veneration of holy individuals in medieval Europe.&nbsp;</p><p><br></p>';
catalog['<p>Bronze doors, 1015, commissioned by Bishop Bernward for Saint Michael&#39;s, Hildesheim (Germany).</p>\n\n<p>A conversation with Dr. Nancy Ross and Jennifer Freeman.</p>\n'] = '<p>Bronze doors, 1015, commissioned by Bishop Bernward for Saint Michael&#39;s, Hildesheim (Germany).</p>\n\n<p>A conversation with Dr. Nancy Ross and Jennifer Freeman.</p>\n';
catalog['<p>Enguerrand Quarton(?), Piet&agrave; of Villeneuve-l&egrave;s-Avignon, c. 1455, oil on wood, 163 x 219 cm (Mus&eacute;e du Louvre)<br />\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker</p>\n'] = '<p>Enguerrand Quarton(?), Piet&agrave; of Villeneuve-l&egrave;s-Avignon, c. 1455, oil on wood, 163 x 219 cm (Mus&eacute;e du Louvre)<br />\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker</p>\n';
catalog['<p>In which you are introduced to the life and accomplishments of Alexander the Great, his empire, his horse Bucephalus, the empires that came after him, and the idea of Greatness. Is greatness a question of accomplishment, of impact, or are people great because the rest of us decide they&#39;re great?</p>\n\n<p>Also discussed are Kim Kardashian and the Situation, gender bias in history, Catherine the Great&#39;s death (not via horse love), the ardent love other generals--from Pompey the Great to Napoleon--had for Alexander, a bit of Persian history.</p>\n'] = '<p>In which you are introduced to the life and accomplishments of Alexander the Great, his empire, his horse Bucephalus, the empires that came after him, and the idea of Greatness. Is greatness a question of accomplishment, of impact, or are people great because the rest of us decide they&#39;re great?</p>\n\n<p>Also discussed are Kim Kardashian and the Situation, gender bias in history, Catherine the Great&#39;s death (not via horse love), the ardent love other generals--from Pompey the Great to Napoleon--had for Alexander, a bit of Persian history.</p>\n';
catalog['<p>Jade Cong, c. 2500 B.C.E., Liangzhu culture, Neolithic period, China (British Museum)</p><p><br></p><p>Speakers: Dr. Beth Harris and Dr. Steven Zucker</p>'] = '<p>Jade Cong, c. 2500 B.C.E., Liangzhu culture, Neolithic period, China (British Museum)</p><p><br></p><p>Speakers: Dr. Beth Harris and Dr. Steven Zucker</p>';
catalog['<p>Jan van Eyck, <em>Portrait of a Man in a Red Turban (Self-Portrait?)</em>,&nbsp;1433, oil on oak panel, 26 x 19 cm (The National Gallery, London)</p>\n\n<p>Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris</p>\n'] = '<p>Jan van Eyck, <em>Portrait of a Man in a Red Turban (Self-Portrait?)</em>,&nbsp;1433, oil on oak panel, 26 x 19 cm (The National Gallery, London)</p>\n\n<p>Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris</p>\n';
catalog['<p>Johannes Vermeer, <em>The Art of Painting</em>, 1666-69, oil on canvas, 1000 x 1200 cm (Kunsthistorisches Museum, Vienna)</p><p><br></p><p>Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris</p>'] = '<p>Johannes Vermeer, <em>The Art of Painting</em>, 1666-69, oil on canvas, 1000 x 1200 cm (Kunsthistorisches Museum, Vienna)</p><p><br></p><p>Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris</p>';
catalog['<p>Johannes Vermeer, <em>Woman Holding a Balance</em>, 1664, oil on canvas, 42.5 cm \u00d7 38 cm / 16.7 in \u00d7 15 in (National Gallery of Art)</p><p><br></p><p>Speakers: Dr. Steven Zucker and Dr. Beth Harris</p>'] = '<p>Johannes Vermeer, <em>Woman Holding a Balance</em>, 1664, oil on canvas, 42.5 cm \u00d7 38 cm / 16.7 in \u00d7 15 in (National Gallery of Art)</p><p><br></p><p>Speakers: Dr. Steven Zucker and Dr. Beth Harris</p>';
catalog['<p>Manuel Alvarez Bravo\'s photographs, filled with social and political themes, reflect the radical changes in post-revolutionary Mexico, and reveal the complexities of modern Mexican culture.</p><p>Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a></p>'] = '<p>Manuel Alvarez Bravo\'s photographs, filled with social and political themes, reflect the radical changes in post-revolutionary Mexico, and reveal the complexities of modern Mexican culture.</p><p>Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a></p>';
catalog['<p>Paul Gauguin, <em>Vision after the Sermon</em>, or <em>Jacob Wrestling with the Ange</em>l, 1888, oil on canvas, 2&#39; 4 3/4&quot; x 3&#39; 1/2&quot; (National Gallery of Scotland, Edinburgh)</p>\n\n<p>Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris&nbsp;</p>\n'] = '<p>Paul Gauguin, <em>Vision after the Sermon</em>, or <em>Jacob Wrestling with the Ange</em>l, 1888, oil on canvas, 2&#39; 4 3/4&quot; x 3&#39; 1/2&quot; (National Gallery of Scotland, Edinburgh)</p>\n\n<p>Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris&nbsp;</p>\n';
catalog['<p>Short video introducing the people behind the Pathfinder mission.&nbsp;</p><p>For more information check out <a data-cke-saved-href="http://www.nasa.gov/mission_pages/mars-pathfinder/" href="http://www.nasa.gov/mission_pages/mars-pathfinder/">NASA\'s mission page</a></p>'] = '<p>Short video introducing the people behind the Pathfinder mission.&nbsp;</p><p>For more information check out <a data-cke-saved-href="http://www.nasa.gov/mission_pages/mars-pathfinder/" href="http://www.nasa.gov/mission_pages/mars-pathfinder/">NASA\'s mission page</a></p>';
catalog['<p>Summary of the Mars Express Orbiter.</p><p>For more information check out the <a data-cke-saved-href="http://www.esa.int/Our_Activities/Space_Science/Mars_Express" href="http://www.esa.int/Our_Activities/Space_Science/Mars_Express">mission page.</a></p>'] = '<p>Summary of the Mars Express Orbiter.</p><p>For more information check out the <a data-cke-saved-href="http://www.esa.int/Our_Activities/Space_Science/Mars_Express" href="http://www.esa.int/Our_Activities/Space_Science/Mars_Express">mission page.</a></p>';
catalog['<p>oil on canvas, 87 x 120 cm (Mus\u00e9e du Louvre)</p><p><br></p><p>Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris</p>'] = '<p>oil on canvas, 87 x 120 cm (Mus\u00e9e du Louvre)</p><p><br></p><p>Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris</p>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="A basic overview of capacitors and capacitance.  By David Santo Pietro.\n      ">A basic overview of capacitors and capacitance. By David Santo Pietro. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="A basic overview of capacitors and capacitance.  By David Santo Pietro.\n      ">A basic overview of capacitors and capacitance. By David Santo Pietro. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="A major branch of psychology is Humanism. Learn what the humanistic theorists have to say about how we develop our personality.  By Shreena Desai.\n      ">A major branch of psychology is Humanism. Learn what the humanistic theorists have to say about how we develop our personality. By Shreena Desai. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="A major branch of psychology is Humanism. Learn what the humanistic theorists have to say about how we develop our personality.  By Shreena Desai.\n      ">A major branch of psychology is Humanism. Learn what the humanistic theorists have to say about how we develop our personality. By Shreena Desai. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Abraham Maslow\'s Hierarchy of Needs is a basic psychology concept in understanding the Humanistic approach to personality and behaviors.  By Shreena Desai.\n      ">Abraham Maslow&#39;s Hierarchy of Needs is a basic psychology concept in understanding the Humanistic approach to personality and behaviors. By Shreena Desai. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Abraham Maslow\'s Hierarchy of Needs is a basic psychology concept in understanding the Humanistic approach to personality and behaviors.  By Shreena Desai.\n      ">Abraham Maslow&#39;s Hierarchy of Needs is a basic psychology concept in understanding the Humanistic approach to personality and behaviors. By Shreena Desai. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="An explanation of the Bobo Doll Experiment, how it demonstrated learning performance distinction, and resulted in Bandura\'s Social Cognitive Theory.  By Jeffrey Walsh.\n      ">An explanation of the Bobo Doll Experiment, how it demonstrated learning performance distinction, and resulted in Bandura&#39;s Social Cognitive Theory. By Jeffrey Walsh. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="An explanation of the Bobo Doll Experiment, how it demonstrated learning performance distinction, and resulted in Bandura\'s Social Cognitive Theory.  By Jeffrey Walsh.\n      ">An explanation of the Bobo Doll Experiment, how it demonstrated learning performance distinction, and resulted in Bandura&#39;s Social Cognitive Theory. By Jeffrey Walsh. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Conflict theory observes how the unrest in a society will cause it to change and evolve to relieve the tension.  By Sydney Brown.\n      ">Conflict theory observes how the unrest in a society will cause it to change and evolve to relieve the tension. By Sydney Brown. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Conflict theory observes how the unrest in a society will cause it to change and evolve to relieve the tension.  By Sydney Brown.\n      ">Conflict theory observes how the unrest in a society will cause it to change and evolve to relieve the tension. By Sydney Brown. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Explore the contributions two major behavioral theorists have made to the Behavioral Theory of Personality.   By Shreena Desai.\n      ">Explore the contributions two major behavioral theorists have made to the Behavioral Theory of Personality. By Shreena Desai. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Explore the contributions two major behavioral theorists have made to the Behavioral Theory of Personality.   By Shreena Desai.\n      ">Explore the contributions two major behavioral theorists have made to the Behavioral Theory of Personality. By Shreena Desai. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Find out how the body\'s mysterious second circulatory system works. Learn how it can move fluid even when it has no heart of its own.  By Patrick van Nieuwenhuizen.\n      ">Find out how the body&#39;s mysterious second circulatory system works. Learn how it can move fluid even when it has no heart of its own. By Patrick van Nieuwenhuizen. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Find out how the body\'s mysterious second circulatory system works. Learn how it can move fluid even when it has no heart of its own.  By Patrick van Nieuwenhuizen.\n      ">Find out how the body&#39;s mysterious second circulatory system works. Learn how it can move fluid even when it has no heart of its own. By Patrick van Nieuwenhuizen. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Functionalism is a theory of society that focuses on the structures that create the society and on how the society is able to remain stable.  By Sydney Brown.\n      ">Functionalism is a theory of society that focuses on the structures that create the society and on how the society is able to remain stable. By Sydney Brown. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Functionalism is a theory of society that focuses on the structures that create the society and on how the society is able to remain stable.  By Sydney Brown.\n      ">Functionalism is a theory of society that focuses on the structures that create the society and on how the society is able to remain stable. By Sydney Brown. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="How dielectrics function in circuits.   By David Santo Pietro.\n      ">How dielectrics function in circuits. By David Santo Pietro. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="How dielectrics function in circuits.   By David Santo Pietro.\n      ">How dielectrics function in circuits. By David Santo Pietro. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="How do neurons help us move? Learn about how motor neurons send signals to muscle cells and what happens when we damage this precious neurons.  By Raja Narayan.\n      ">How do neurons help us move? Learn about how motor neurons send signals to muscle cells and what happens when we damage this precious neurons. By Raja Narayan. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="How do neurons help us move? Learn about how motor neurons send signals to muscle cells and what happens when we damage this precious neurons.  By Raja Narayan.\n      ">How do neurons help us move? Learn about how motor neurons send signals to muscle cells and what happens when we damage this precious neurons. By Raja Narayan. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="In this video we\'re going to learn about how the concentration of hormones in our blood is regulated.  By Ryan Patton.\n      ">In this video we&#39;re going to learn about how the concentration of hormones in our blood is regulated. By Ryan Patton. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="In this video we\'re going to learn about how the concentration of hormones in our blood is regulated.  By Ryan Patton.\n      ">In this video we&#39;re going to learn about how the concentration of hormones in our blood is regulated. By Ryan Patton. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="In this video, I explore how photoreceptors (rods and cones) are distributed in the fovea.  By Ronald Sahyouni.\n      ">In this video, I explore how photoreceptors (rods and cones) are distributed in the fovea. By Ronald Sahyouni. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="In this video, I explore how photoreceptors (rods and cones) are distributed in the fovea.  By Ronald Sahyouni.\n      ">In this video, I explore how photoreceptors (rods and cones) are distributed in the fovea. By Ronald Sahyouni. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="In this video, I explore our sense of vision.  By Ronald Sahyouni.\n      ">In this video, I explore our sense of vision. By Ronald Sahyouni. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="In this video, I explore our sense of vision.  By Ronald Sahyouni.\n      ">In this video, I explore our sense of vision. By Ronald Sahyouni. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="In this video, I explore the similarities and differences between rods and cones.  By Ronald Sahyouni.\n      ">In this video, I explore the similarities and differences between rods and cones. By Ronald Sahyouni. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="In this video, I explore the similarities and differences between rods and cones.  By Ronald Sahyouni.\n      ">In this video, I explore the similarities and differences between rods and cones. By Ronald Sahyouni. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="In this video, I review how we process our visual field, and how information from the right and left visual field is broken down and sent to the brain.  By Ronald Sahyouni.\n      ">In this video, I review how we process our visual field, and how information from the right and left visual field is broken down and sent to the brain. By Ronald Sahyouni. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="In this video, I review how we process our visual field, and how information from the right and left visual field is broken down and sent to the brain.  By Ronald Sahyouni.\n      ">In this video, I review how we process our visual field, and how information from the right and left visual field is broken down and sent to the brain. By Ronald Sahyouni. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="In this video, I review the structure of the eye.  By Ronald Sahyouni.\n      ">In this video, I review the structure of the eye. By Ronald Sahyouni. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="In this video, I review the structure of the eye.  By Ronald Sahyouni.\n      ">In this video, I review the structure of the eye. By Ronald Sahyouni. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Institutions are structures of society that fulfill the needs of the society. Not only are they essential to the society\'s needs, they also help to build the society itself.  By Sydney Brown.\n      ">Institutions are structures of society that fulfill the needs of the society. Not only are they essential to the society&#39;s needs, they also help to build the society itself. By Sydney Brown.</span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Institutions are structures of society that fulfill the needs of the society. Not only are they essential to the society\'s needs, they also help to build the society itself.  By Sydney Brown.\n      ">Institutions are structures of society that fulfill the needs of the society. Not only are they essential to the society&#39;s needs, they also help to build the society itself. By Sydney Brown.</span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about Sigmund Freud\'s Psychoanalytic Theory of Personality and the different structures of our mind that contribute to our personality.  By Shreena Desai.\n      ">Learn about Sigmund Freud&#39;s Psychoanalytic Theory of Personality and the different structures of our mind that contribute to our personality. By Shreena Desai. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about Sigmund Freud\'s Psychoanalytic Theory of Personality and the different structures of our mind that contribute to our personality.  By Shreena Desai.\n      ">Learn about Sigmund Freud&#39;s Psychoanalytic Theory of Personality and the different structures of our mind that contribute to our personality. By Shreena Desai. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about a third function of the lymphatic system. See how it finds a sneaky way to get fats and proteins into your bloodstream.  By Patrick van Nieuwenhuizen.\n      ">Learn about a third function of the lymphatic system. See how it finds a sneaky way to get fats and proteins into your bloodstream. By Patrick van Nieuwenhuizen. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about a third function of the lymphatic system. See how it finds a sneaky way to get fats and proteins into your bloodstream.  By Patrick van Nieuwenhuizen.\n      ">Learn about a third function of the lymphatic system. See how it finds a sneaky way to get fats and proteins into your bloodstream. By Patrick van Nieuwenhuizen. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about divided attention, selective attention, inattentional blindness, &amp;amp; change blindness. By Carole Yue.\n      ">Learn about divided attention, selective attention, inattentional blindness, &amp; change blindness. By Carole Yue. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about divided attention, selective attention, inattentional blindness, &amp;amp; change blindness. By Carole Yue.\n      ">Learn about divided attention, selective attention, inattentional blindness, &amp; change blindness. By Carole Yue. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about how B and T cells reside in lymph nodes. Find out how that enables them to get a preview of what they need to be prepared to fight.  By Patrick van Nieuwenhuizen.\n      ">Learn about how B and T cells reside in lymph nodes. Find out how that enables them to get a preview of what they need to be prepared to fight. By Patrick van Nieuwenhuizen.</span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about how B and T cells reside in lymph nodes. Find out how that enables them to get a preview of what they need to be prepared to fight.  By Patrick van Nieuwenhuizen.\n      ">Learn about how B and T cells reside in lymph nodes. Find out how that enables them to get a preview of what they need to be prepared to fight. By Patrick van Nieuwenhuizen.</span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about how chemicals can be separated based on polarity through thin layer chromatography (TLC).  By Angela Guerrero.\n      ">Learn about how chemicals can be separated based on polarity through thin layer chromatography (TLC). By Angela Guerrero. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about how chemicals can be separated based on polarity through thin layer chromatography (TLC).  By Angela Guerrero.\n      ">Learn about how chemicals can be separated based on polarity through thin layer chromatography (TLC). By Angela Guerrero. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about how chemicals can be separated through acid-base extraction.  By Angela Guerrero.\n      ">Learn about how chemicals can be separated through acid-base extraction. By Angela Guerrero. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about how chemicals can be separated through acid-base extraction.  By Angela Guerrero.\n      ">Learn about how chemicals can be separated through acid-base extraction. By Angela Guerrero. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about how phospholipids form the cell membrane, and what types of molecules can passively diffuse thorugh the membrane.  By William Tsai.\n      ">Learn about how phospholipids form the cell membrane, and what types of molecules can passively diffuse thorugh the membrane. By William Tsai. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about how phospholipids form the cell membrane, and what types of molecules can passively diffuse thorugh the membrane.  By William Tsai.\n      ">Learn about how phospholipids form the cell membrane, and what types of molecules can passively diffuse thorugh the membrane. By William Tsai. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about language areas of the brain and the effects of damage to those parts of the brain.  By Carole Yue.\n      ">Learn about language areas of the brain and the effects of damage to those parts of the brain. By Carole Yue. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about language areas of the brain and the effects of damage to those parts of the brain.  By Carole Yue.\n      ">Learn about language areas of the brain and the effects of damage to those parts of the brain. By Carole Yue. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the concept of fecundity and how it contributes to an organism\'s overall biological fitness.  By Ross Firestone.\n      ">Learn about the concept of fecundity and how it contributes to an organism&#39;s overall biological fitness. By Ross Firestone. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the concept of fecundity and how it contributes to an organism\'s overall biological fitness.  By Ross Firestone.\n      ">Learn about the concept of fecundity and how it contributes to an organism&#39;s overall biological fitness. By Ross Firestone. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the detailed structure of phospholipids in the cell membrane.  By Willaim Tsai.\n      ">Learn about the detailed structure of phospholipids in the cell membrane. By Willaim Tsai. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the detailed structure of phospholipids in the cell membrane.  By Willaim Tsai.\n      ">Learn about the detailed structure of phospholipids in the cell membrane. By Willaim Tsai. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the differences between lymph and blood. Find out what is actually in lymph, and how it might be different across your body.  By Patrick van Nieuwenhuizen.\n      ">Learn about the differences between lymph and blood. Find out what is actually in lymph, and how it might be different across your body. By Patrick van Nieuwenhuizen. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the differences between lymph and blood. Find out what is actually in lymph, and how it might be different across your body.  By Patrick van Nieuwenhuizen.\n      ">Learn about the differences between lymph and blood. Find out what is actually in lymph, and how it might be different across your body. By Patrick van Nieuwenhuizen. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the different types of proteins that exist on the cell membrane.  By William Tsai.\n      ">Learn about the different types of proteins that exist on the cell membrane. By William Tsai. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the different types of proteins that exist on the cell membrane.  By William Tsai.\n      ">Learn about the different types of proteins that exist on the cell membrane. By William Tsai. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the interaction between chemical messages and their target cells in this video about hormone action.  By Ryan Patton.\n      ">Learn about the interaction between chemical messages and their target cells in this video about hormone action. By Ryan Patton. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the interaction between chemical messages and their target cells in this video about hormone action.  By Ryan Patton.\n      ">Learn about the interaction between chemical messages and their target cells in this video about hormone action. By Ryan Patton. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the major components that make up our cell membrane and the fluid mosaic model.  By William Tsai.\n      ">Learn about the major components that make up our cell membrane and the fluid mosaic model. By William Tsai. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the major components that make up our cell membrane and the fluid mosaic model.  By William Tsai.\n      ">Learn about the major components that make up our cell membrane and the fluid mosaic model. By William Tsai. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the nativist, learning, and interactionist theories of human language development.  By Carole Yue.\n      ">Learn about the nativist, learning, and interactionist theories of human language development. By Carole Yue. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the nativist, learning, and interactionist theories of human language development.  By Carole Yue.\n      ">Learn about the nativist, learning, and interactionist theories of human language development. By Carole Yue. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the three major theories of selective attention.  By Carole Yue.\n      ">Learn about the three major theories of selective attention. By Carole Yue. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about the three major theories of selective attention.  By Carole Yue.\n      ">Learn about the three major theories of selective attention. By Carole Yue. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about theories of the relationship between language and cognition.  By Carole Yue.\n      ">Learn about theories of the relationship between language and cognition. By Carole Yue. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn about theories of the relationship between language and cognition.  By Carole Yue.\n      ">Learn about theories of the relationship between language and cognition. By Carole Yue. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn how chemicals can be separated and purified through distillation, a process which separates them based on their respective boiling points.  By Angela Guerrero.\n      ">Learn how chemicals can be separated and purified through distillation, a process which separates them based on their respective boiling points. By Angela Guerrero. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn how chemicals can be separated and purified through distillation, a process which separates them based on their respective boiling points.  By Angela Guerrero.\n      ">Learn how chemicals can be separated and purified through distillation, a process which separates them based on their respective boiling points. By Angela Guerrero. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn how gel electrophoresis separates DNA and protein fragments based on size and why one would use agarose gel electrophoresis versus SDS-PAGE.  By Angela Guerrero.\n      ">Learn how gel electrophoresis separates DNA and protein fragments based on size and why one would use agarose gel electrophoresis versus SDS-PAGE. By Angela Guerrero.</span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn how gel electrophoresis separates DNA and protein fragments based on size and why one would use agarose gel electrophoresis versus SDS-PAGE.  By Angela Guerrero.\n      ">Learn how gel electrophoresis separates DNA and protein fragments based on size and why one would use agarose gel electrophoresis versus SDS-PAGE. By Angela Guerrero.</span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn how our traits make up our personality by taking a look at different psychologists\' perspectives in how the Trait Theory came to be.  By Shreena Desai.\n      ">Learn how our traits make up our personality by taking a look at different psychologists&#39; perspectives in how the Trait Theory came to be. By Shreena Desai. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn how our traits make up our personality by taking a look at different psychologists\' perspectives in how the Trait Theory came to be.  By Shreena Desai.\n      ">Learn how our traits make up our personality by taking a look at different psychologists&#39; perspectives in how the Trait Theory came to be. By Shreena Desai. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn how the phospholipids in the cell membrane maintain membrane fluidity.  By William Tsai.\n      ">Learn how the phospholipids in the cell membrane maintain membrane fluidity. By William Tsai. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn how the phospholipids in the cell membrane maintain membrane fluidity.  By William Tsai.\n      ">Learn how the phospholipids in the cell membrane maintain membrane fluidity. By William Tsai. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn how to calculate retention factors (Rf) for thin layer chromatography (TLC).  By Angela Guerrero.\n      ">Learn how to calculate retention factors (Rf) for thin layer chromatography (TLC). By Angela Guerrero. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn how to calculate retention factors (Rf) for thin layer chromatography (TLC).  By Angela Guerrero.\n      ">Learn how to calculate retention factors (Rf) for thin layer chromatography (TLC). By Angela Guerrero. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn how to separate chemicals using column chromatography.  By Angela Guerrero.\n      ">Learn how to separate chemicals using column chromatography. By Angela Guerrero. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn how to separate chemicals using column chromatography.  By Angela Guerrero.\n      ">Learn how to separate chemicals using column chromatography. By Angela Guerrero. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=AsqEkF7hcII&lt;br&gt;Introduction to the idea of a mole as a number (vs. an animal)\n      ">Introduction to the idea of a mole as a number (vs. an animal).</span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=AsqEkF7hcII&lt;br&gt;Introduction to the idea of a mole as a number (vs. an animal)\n      ">Introduction to the idea of a mole as a number (vs. an animal).</span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=RnGu3xO2h74&lt;br&gt;The art of balancing equations in chemistry!\n      ">The art of balancing equations in chemistry! </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=RnGu3xO2h74&lt;br&gt;The art of balancing equations in chemistry!\n      ">The art of balancing equations in chemistry! </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=SjQG3rKSZUQ&lt;br&gt;Introduction to stoichiometry\n      ">Introduction to stoichiometry.</span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=SjQG3rKSZUQ&lt;br&gt;Introduction to stoichiometry\n      ">Introduction to stoichiometry.</span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=YQfWiDlFEcA&lt;br&gt;Introduction to ATP or Adenosine Triphosphate\n      ">Introduction to ATP or Adenosine Triphosphate. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=YQfWiDlFEcA&lt;br&gt;Introduction to ATP or Adenosine Triphosphate\n      ">Introduction to ATP or Adenosine Triphosphate. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=rESzyhPOJ7I&lt;br&gt;Stoichiometry problem where we have a limiting reagent!\n      ">Stoichiometry problem where we have a limiting reagent! </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=rESzyhPOJ7I&lt;br&gt;Stoichiometry problem where we have a limiting reagent!\n      ">Stoichiometry problem where we have a limiting reagent! </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=xatVrAh2U0E&lt;br&gt;Figuring out the empirical formula from a molecules mass composition\n      ">Figuring out the empirical formula from a molecules mass composition.</span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=xatVrAh2U0E&lt;br&gt;Figuring out the empirical formula from a molecules mass composition\n      ">Figuring out the empirical formula from a molecules mass composition.</span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=zopoN2i7ALQ&lt;br&gt;How myosin and actin interact to produce mechanical force.\n      ">How myosin and actin interact to produce mechanical force. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Learn more: http://www.khanacademy.org/video?v=zopoN2i7ALQ&lt;br&gt;How myosin and actin interact to produce mechanical force.\n      ">How myosin and actin interact to produce mechanical force. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Limiting Reactant Example Problem 1\n      ">Limiting Reactant Example Problem 1 </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Limiting Reactant Example Problem 1\n      ">Limiting Reactant Example Problem 1 </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Nature or Nurture? The Biologic Theory of Personality addresses the role evolution and biology play in our personality development.  By Shreena Desai.\n      ">Nature or Nurture? The Biologic Theory of Personality addresses the role evolution and biology play in our personality development. By Shreena Desai. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Nature or Nurture? The Biologic Theory of Personality addresses the role evolution and biology play in our personality development.  By Shreena Desai.\n      ">Nature or Nurture? The Biologic Theory of Personality addresses the role evolution and biology play in our personality development. By Shreena Desai. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="See exactly how Calcium binds Troponin-C and allows Myosin to do some work.  Rishi is a pediatric infectious disease physician and works at Khan Academy.&lt;br&gt;&lt;br&gt;These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.\n      ">See exactly how Calcium binds Troponin-C and allows Myosin to do some work. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="See exactly how Calcium binds Troponin-C and allows Myosin to do some work.  Rishi is a pediatric infectious disease physician and works at Khan Academy.&lt;br&gt;&lt;br&gt;These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.\n      ">See exactly how Calcium binds Troponin-C and allows Myosin to do some work. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="The effect on voltage and current when capacitors are constructed in parallel in a circuit.  By David Santo Pietro.\n      ">The effect on voltage and current when capacitors are constructed in parallel in a circuit. By David Santo Pietro. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="The effect on voltage and current when capacitors are constructed in parallel in a circuit.  By David Santo Pietro.\n      ">The effect on voltage and current when capacitors are constructed in parallel in a circuit. By David Santo Pietro. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="The effect on voltage and current when capacitors are constructed in series in a circuit.  By David Santo Pietro.\n      ">The effect on voltage and current when capacitors are constructed in series in a circuit. By David Santo Pietro. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="The effect on voltage and current when capacitors are constructed in series in a circuit.  By David Santo Pietro.\n      ">The effect on voltage and current when capacitors are constructed in series in a circuit. By David Santo Pietro. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="There are three major types of hormones, based on structure, in our body. Lets find out a little more about them.  By Ryan Patton.\n      ">There are three major types of hormones, based on structure, in our body. Lets find out a little more about them. By Ryan Patton. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="There are three major types of hormones, based on structure, in our body. Lets find out a little more about them.  By Ryan Patton.\n      ">There are three major types of hormones, based on structure, in our body. Lets find out a little more about them. By Ryan Patton. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="This explains phototransduction cascade which is critical to our sense of vision.  By Ronald Sahyouni.\n      ">This explains phototransduction cascade which is critical to our sense of vision. By Ronald Sahyouni. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="This explains phototransduction cascade which is critical to our sense of vision.  By Ronald Sahyouni.\n      ">This explains phototransduction cascade which is critical to our sense of vision. By Ronald Sahyouni. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="This video explains the potential of a capacitor and how they function in a circuit.  By David Santo Pietro.\n      ">This video explains the potential of a capacitor and how they function in a circuit. By David Santo Pietro. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="This video explains the potential of a capacitor and how they function in a circuit.  By David Santo Pietro.\n      ">This video explains the potential of a capacitor and how they function in a circuit. By David Santo Pietro. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Understand how enantiomers can be isolated from a racemic mixture using chromatography with a chiral stationary phase.  By Angela Guerrero.\n      ">Understand how enantiomers can be isolated from a racemic mixture using chromatography with a chiral stationary phase. By Angela Guerrero. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Understand how enantiomers can be isolated from a racemic mixture using chromatography with a chiral stationary phase.  By Angela Guerrero.\n      ">Understand how enantiomers can be isolated from a racemic mixture using chromatography with a chiral stationary phase. By Angela Guerrero. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Understand how to separate and purify chemicals through gas chromatography and how to interpret a gas chromatogram.  By Angela Guerrero.\n      ">Understand how to separate and purify chemicals through gas chromatography and how to interpret a gas chromatogram. By Angela Guerrero. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Understand how to separate and purify chemicals through gas chromatography and how to interpret a gas chromatogram.  By Angela Guerrero.\n      ">Understand how to separate and purify chemicals through gas chromatography and how to interpret a gas chromatogram. By Angela Guerrero. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Understand the basic principles of different kinds of chromatography: paper, thin layer, column, size-exchange, ion exchange, affinity, HPLC, and.  By Angela Guerrero.\n      ">Understand the basic principles of different kinds of chromatography: paper, thin layer, column, size-exchange, ion exchange, affinity, HPLC, and. By Angela Guerrero. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Understand the basic principles of different kinds of chromatography: paper, thin layer, column, size-exchange, ion exchange, affinity, HPLC, and.  By Angela Guerrero.\n      ">Understand the basic principles of different kinds of chromatography: paper, thin layer, column, size-exchange, ion exchange, affinity, HPLC, and. By Angela Guerrero. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Understanding the structure of a muscle cell.  By Raja Narayan.\n      ">Understanding the structure of a muscle cell. By Raja Narayan. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Understanding the structure of a muscle cell.  By Raja Narayan.\n      ">Understanding the structure of a muscle cell. By Raja Narayan. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="Welcome to the Endocrine System. Get ready to learn about one of the most important ways that our body parts communicate!  By Ryan Patton.\n      ">Welcome to the Endocrine System. Get ready to learn about one of the most important ways that our body parts communicate! By Ryan Patton. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="Welcome to the Endocrine System. Get ready to learn about one of the most important ways that our body parts communicate!  By Ryan Patton.\n      ">Welcome to the Endocrine System. Get ready to learn about one of the most important ways that our body parts communicate! By Ryan Patton. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="What makes two organisms members of different species? Learn about the forces behind reproductive isolation.  By Ross Firestone.\n      ">What makes two organisms members of different species? Learn about the forces behind reproductive isolation. By Ross Firestone. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="What makes two organisms members of different species? Learn about the forces behind reproductive isolation.  By Ross Firestone.\n      ">What makes two organisms members of different species? Learn about the forces behind reproductive isolation. By Ross Firestone. </span>';
catalog['<span class="yt-ui-ellipsis-wrapper" data-original-html="What\'s the difference between type 1 and type 2 muscle fibers? Learn one golden rule that will help you easily distinguish between them.  By Raja Narayan.\n      ">What&#39;s the difference between type 1 and type 2 muscle fibers? Learn one golden rule that will help you easily distinguish between them. By Raja Narayan. </span>'] = '<span class="yt-ui-ellipsis-wrapper" data-original-html="What\'s the difference between type 1 and type 2 muscle fibers? Learn one golden rule that will help you easily distinguish between them.  By Raja Narayan.\n      ">What&#39;s the difference between type 1 and type 2 muscle fibers? Learn one golden rule that will help you easily distinguish between them. By Raja Narayan. </span>';
catalog['<span id="docs-internal-guid-4bd0bae2-1c79-a4d8-86bb-ec5d87786e9e"><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:15px; font-style:normal; font-variant:normal; white-space:pre-wrap">In which John Green teaches you about World War II, aka The Great Patriotic War, aka The Big One. So how did this war happen? And what does it mean? We&#39;ve all learned the facts about World War II many times over, thanks to repeated classroom coverage, the History channel, and your grandfather (or maybe great-grandfather) showing you that Nazi bayonet he used to keep in his sock drawer and telling you a bunch of age-inappropriate stories about his harrowing war experiences. So, why did the Axis powers think forceful expansion was a good idea? (they were hungry). So why did this thing shake out in favor of the Allies? HInt: it has to do with the fact that it was a world war. Germany and Japan made some pretty serious strategic errors, such as invading Russia and attacking the United States, and those errors meant that pretty much the whole world was against them. So, find out how this worldwide alliance came together to stop the Axis expansion. All this, plus Canada finally gets the respectful treatment it deserves. Oh, and a warning: there are a few graphic images in this episode. Sensitive viewers may want to use caution, especially around the 9:15 mark.</span></span>'] = '<span id="docs-internal-guid-4bd0bae2-1c79-a4d8-86bb-ec5d87786e9e"><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:15px; font-style:normal; font-variant:normal; white-space:pre-wrap">In which John Green teaches you about World War II, aka The Great Patriotic War, aka The Big One. So how did this war happen? And what does it mean? We&#39;ve all learned the facts about World War II many times over, thanks to repeated classroom coverage, the History channel, and your grandfather (or maybe great-grandfather) showing you that Nazi bayonet he used to keep in his sock drawer and telling you a bunch of age-inappropriate stories about his harrowing war experiences. So, why did the Axis powers think forceful expansion was a good idea? (they were hungry). So why did this thing shake out in favor of the Allies? HInt: it has to do with the fact that it was a world war. Germany and Japan made some pretty serious strategic errors, such as invading Russia and attacking the United States, and those errors meant that pretty much the whole world was against them. So, find out how this worldwide alliance came together to stop the Axis expansion. All this, plus Canada finally gets the respectful treatment it deserves. Oh, and a warning: there are a few graphic images in this episode. Sensitive viewers may want to use caution, especially around the 9:15 mark.</span></span>';
catalog['<span id="docs-internal-guid-5d09ec82-8429-6e72-dcd4-71fe1b834ca4"><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:15px; font-style:normal; font-variant:normal; white-space:pre-wrap">This is a different kind of quiz. Here you&rsquo;ll see works of art that are not featured in any tutorial. Can you apply the knowledge you&rsquo;ve learned to new works of art? Keep in mind, these questions focus on paintings from the 15th Century but may require knowledge from beyond this historical period. </span></span>'] = '<span id="docs-internal-guid-5d09ec82-8429-6e72-dcd4-71fe1b834ca4"><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:15px; font-style:normal; font-variant:normal; white-space:pre-wrap">This is a different kind of quiz. Here you&rsquo;ll see works of art that are not featured in any tutorial. Can you apply the knowledge you&rsquo;ve learned to new works of art? Keep in mind, these questions focus on paintings from the 15th Century but may require knowledge from beyond this historical period. </span></span>';
catalog['<span style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 13px; font-style: normal; font-variant: normal; line-height: 17px; background-color: rgb(255, 255, 255);">Exhibition curator, James Robinson (video&nbsp;from the British Museum), bust from the <a data-cke-saved-href="http://metmuseum.org/Collections/search-the-collections/471844" href="http://metmuseum.org/Collections/search-the-collections/471844">Metropolitan Museum of Art</a>)</span><br style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 13px; line-height: 17px; background-color: rgb(255, 255, 255);">'] = '<span style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 13px; font-style: normal; font-variant: normal; line-height: 17px; background-color: rgb(255, 255, 255);">Exhibition curator, James Robinson (video&nbsp;from the British Museum), bust from the <a data-cke-saved-href="http://metmuseum.org/Collections/search-the-collections/471844" href="http://metmuseum.org/Collections/search-the-collections/471844">Metropolitan Museum of Art</a>)</span><br style="color: rgb(51, 51, 51); font-family: arial, sans-serif; font-size: 13px; line-height: 17px; background-color: rgb(255, 255, 255);">';
catalog['<span style="font-family:helvetica neue,helvetica,arial,sans-serif; font-size:14px; font-style:normal; font-variant:normal; line-height:22px">Video by&nbsp;</span><a href="http://www.aops.com" style="font-family: \'Helvetica Neue\', Helvetica, Arial, sans-serif; font-size: 14px; font-style: normal; font-variant: normal; line-height: 22px;">Art of Problem Solving</a><span style="font-family:helvetica neue,helvetica,arial,sans-serif; font-size:14px; font-style:normal; font-variant:normal; line-height:22px">. &nbsp;Problem from the MAA&nbsp;</span><a href="http://amc.maa.org" style="font-family: \'Helvetica Neue\', Helvetica, Arial, sans-serif; font-size: 14px; font-style: normal; font-variant: normal; line-height: 22px;">American Mathematics Competitions</a>'] = '<span style="font-family:helvetica neue,helvetica,arial,sans-serif; font-size:14px; font-style:normal; font-variant:normal; line-height:22px">Video by&nbsp;</span><a href="http://www.aops.com" style="font-family: \'Helvetica Neue\', Helvetica, Arial, sans-serif; font-size: 14px; font-style: normal; font-variant: normal; line-height: 22px;">Art of Problem Solving</a><span style="font-family:helvetica neue,helvetica,arial,sans-serif; font-size:14px; font-style:normal; font-variant:normal; line-height:22px">. &nbsp;Problem from the MAA&nbsp;</span><a href="http://amc.maa.org" style="font-family: \'Helvetica Neue\', Helvetica, Arial, sans-serif; font-size: 14px; font-style: normal; font-variant: normal; line-height: 22px;">American Mathematics Competitions</a>';
catalog['<span style="font-size: 14px;">&nbsp;oil on canvas, 114 x 164 cm (Kunsthistorisches Museum, Vienna)</span><br>Speakers: Dr. Beth Harris and Dr. Steven Zucker<br><br>'] = '<span style="font-size: 14px;">&nbsp;oil on canvas, 114 x 164 cm (Kunsthistorisches Museum, Vienna)</span><br>Speakers: Dr. Beth Harris and Dr. Steven Zucker<br><br>';
catalog['<span style="font-size:14px">In which John Green explores exactly when Rome went from being the Roman Republic to the Roman Empire. Here&#39;s a hint: it had something to do with Julius Caesar, but maybe less than you think. Find out how Caesar came to rule the empire, what led to him getting stabbed 23 times on the floor of the senate, and what happened in the scramble for power after his assassination. John covers Rome&#39;s transition from city-state to dominant force in the Mediterranean in less than 12 minutes. Well, Rome&#39;s expansion took hundreds of years, he just explains it in under 12 minutes. The senate, the people, Rome, the caesarian section, the Julian calendar and our old friend Pompey all make appearances, but NOT the Caesar Salad, as Julius had nothing to do with it.</span>'] = '<span style="font-size:14px">In which John Green explores exactly when Rome went from being the Roman Republic to the Roman Empire. Here&#39;s a hint: it had something to do with Julius Caesar, but maybe less than you think. Find out how Caesar came to rule the empire, what led to him getting stabbed 23 times on the floor of the senate, and what happened in the scramble for power after his assassination. John covers Rome&#39;s transition from city-state to dominant force in the Mediterranean in less than 12 minutes. Well, Rome&#39;s expansion took hundreds of years, he just explains it in under 12 minutes. The senate, the people, Rome, the caesarian section, the Julian calendar and our old friend Pompey all make appearances, but NOT the Caesar Salad, as Julius had nothing to do with it.</span>';
catalog['<span style="font-size:14px">In which John Green teaches you about Sub-Saharan Africa! So, what exactly was going on there? It turns out, it was a lot of trade, converting to Islam, visits from Ibn Battuta, trade, beautiful women, trade, some impressive architecture, and several empires. John not only cover the the West African Malian Empire, which is the one Mansa Musa ruled, but he discusses the Ghana Empire, and even gets over to East Africa as well to discuss the trade-based city-states of Mogadishu, Mombasa, and Zanzibar. In addition to all this, John considers emigrating to Canada.</span>'] = '<span style="font-size:14px">In which John Green teaches you about Sub-Saharan Africa! So, what exactly was going on there? It turns out, it was a lot of trade, converting to Islam, visits from Ibn Battuta, trade, beautiful women, trade, some impressive architecture, and several empires. John not only cover the the West African Malian Empire, which is the one Mansa Musa ruled, but he discusses the Ghana Empire, and even gets over to East Africa as well to discuss the trade-based city-states of Mogadishu, Mombasa, and Zanzibar. In addition to all this, John considers emigrating to Canada.</span>';
catalog['<span>Abstract Expressionist New York</span><span>To experiment on your own, take our </span><span>online studio course </span><a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a><span>.&nbsp;</span>'] = '<span>Abstract Expressionist New York</span><span>To experiment on your own, take our </span><span>online studio course </span><a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a><span>.&nbsp;</span>';
catalog['<span>After learning about terpenes, lets see how are body uses them to eventually make all the steroid hormones of our body. By Ryan Patton. </span>'] = '<span>After learning about terpenes, lets see how are body uses them to eventually make all the steroid hormones of our body. By Ryan Patton. </span>';
catalog['<span>Assigning oxidation states for the decomposition of hydrogen peroxide. By Jay.</span>'] = '<span>Assigning oxidation states for the decomposition of hydrogen peroxide. By Jay.</span>';
catalog['<span>Carbon\'s ability to form chemical bonds is very important to the history of life on Earth and continues to influence our own future.</span>'] = '<span>Carbon\'s ability to form chemical bonds is very important to the history of life on Earth and continues to influence our own future.</span>';
catalog['<span>Different bonds/interactions contribute to the stability of each level of protein structure. Let&#39;s explore some common ones such as peptide bonds, hydrogen bonds, and disulfide bonds. By Tracy Kovach. </span>'] = '<span>Different bonds/interactions contribute to the stability of each level of protein structure. Let&#39;s explore some common ones such as peptide bonds, hydrogen bonds, and disulfide bonds. By Tracy Kovach. </span>';
catalog['<span>How to balance a redox reaction in acid. By Jay. </span>'] = '<span>How to balance a redox reaction in acid. By Jay. </span>';
catalog['<span>Hunefer&#39;s Judgement in the presence of Osiris, Book of the Dead, 19th Dynasty, New Kingdom, c. 1275 B.C.E., papyrus, Thebes, Egypt (British Museum)</span><span>.&nbsp;</span>'] = '<span>Hunefer&#39;s Judgement in the presence of Osiris, Book of the Dead, 19th Dynasty, New Kingdom, c. 1275 B.C.E., papyrus, Thebes, Egypt (British Museum)</span><span>.&nbsp;</span>';
catalog['<span>In this video, you&#39;ll learn about the general structure of amino acids, which include an amine group, a carboxylic acid group, and a unique side chain (R-group) attached to the alpha carbon. In addition, we&#39;ll explore where amino acids fit in terms of biological metabolism. By Tracy Kovach. </span>'] = '<span>In this video, you&#39;ll learn about the general structure of amino acids, which include an amine group, a carboxylic acid group, and a unique side chain (R-group) attached to the alpha carbon. In addition, we&#39;ll explore where amino acids fit in terms of biological metabolism. By Tracy Kovach. </span>';
catalog['<span>Introduction to the capacitance of a two place capacitor. </span>'] = '<span>Introduction to the capacitance of a two place capacitor. </span>';
catalog['<span>Steroids have to come from somewhere, right? Let\'s learn about the carbon building blocks with which steroids are made. By Ryan Patton. </span>'] = '<span>Steroids have to come from somewhere, right? Let\'s learn about the carbon building blocks with which steroids are made. By Ryan Patton. </span>';
catalog['<span>Taking a looking at oxidation and reduction in a biological context. </span>'] = '<span>Taking a looking at oxidation and reduction in a biological context. </span>';
catalog['<span>The central dogma of molecular biology is the transformation of genetic code to protein. Specifically, this process involves RNA being made from DNA through transcription and protein being made from that RNA by translation. By Tracy Kovach.</span>'] = '<span>The central dogma of molecular biology is the transformation of genetic code to protein. Specifically, this process involves RNA being made from DNA through transcription and protein being made from that RNA by translation. By Tracy Kovach.</span>';
catalog['<span>This quiz has 25 questions. It should take you 25 minutes to complete.</span>'] = '<span>This quiz has 25 questions. It should take you 25 minutes to complete.</span>';
catalog['<span>To learn about other great moments in modern art, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a> or <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course7" href="http://www.moma.org/learn/courses/online#course7">Pigment to Pixel: Color in Modern and Contemporary Art. </a></span>'] = '<span>To learn about other great moments in modern art, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a> or <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course7" href="http://www.moma.org/learn/courses/online#course7">Pigment to Pixel: Color in Modern and Contemporary Art. </a></span>';
catalog['<span>To learn more about how abstract artists became the radical thinkers of their time, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a> or <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course7" href="http://www.moma.org/learn/courses/online#course7">Pigment to Pixel: Color in Modern and Contemporary Art</a>.</span>'] = '<span>To learn more about how abstract artists became the radical thinkers of their time, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a> or <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course7" href="http://www.moma.org/learn/courses/online#course7">Pigment to Pixel: Color in Modern and Contemporary Art</a>.</span>';
catalog['<span>Walter Alvarez shows how well-preserved limestone layers in the mountains of Italy offer a rare glimpse at Earth history and early forms of life.</span>'] = '<span>Walter Alvarez shows how well-preserved limestone layers in the mountains of Italy offer a rare glimpse at Earth history and early forms of life.</span>';
catalog['<span>You can experiment with Pollock\'s famous painting technique and those of other Abstract Expressionist artists by enrolling in our online course: <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Painting</a>.</span>'] = '<span>You can experiment with Pollock\'s famous painting technique and those of other Abstract Expressionist artists by enrolling in our online course: <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Painting</a>.</span>';
catalog['A 19th century thinker defends his theory on population growth.<br>'] = 'A 19th century thinker defends his theory on population growth.<br>';
catalog['A 3-minute video highlighting educator feedback about the Khan Academy in Idaho training session October 4-5.'] = 'Ein 3-min\u00fctiges Video welches das Feedback der P\u00e4dagogen \u00fcber die Khan Akademie in der Trainingssitzung in Idaho am 4-5 Oktober hervorhebt.';
catalog['A 60 second video from Code.org on how anybody can learn to code&nbsp;'] = 'A 60 second video from Code.org on how anybody can learn to code&nbsp;';
catalog['A Beginner\'s Guide to the Baroque'] = 'A Beginner\'s Guide to the Baroque';
catalog['A Beginner\'s Guide to the Medieval Period'] = 'A Beginner\'s Guide to the Medieval Period';
catalog['A Conversation with Angela Ahrendts'] = 'A Conversation with Angela Ahrendts';
catalog['A Conversation with US Secretary of Education Arne Duncan'] = 'Ein Gespr\u00e4ch mit US-Bildungsminister Arne Duncan';
catalog['A Crash Course on Indoor Flying Robots'] = 'A Crash Course on Indoor Flying Robots';
catalog['A Getty film crew traveled to the Holy Monastery of Saint Catherine in the Sinai and captured scenes of traditions that have attracted pilgrims from around the world for more than a thousand years. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'A Getty film crew traveled to the Holy Monastery of Saint Catherine in the Sinai and captured scenes of traditions that have attracted pilgrims from around the world for more than a thousand years. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['A MoMA educator discusses five keys strategies for teaching with works of art.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.&nbsp;'] = 'A MoMA educator discusses five keys strategies for teaching with works of art.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.&nbsp;';
catalog['A MoMA educator discusses how he teaches &quot;Map&quot; by Jasper Johns, 1961.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning </a>for more teaching and learning resources.'] = 'A MoMA educator discusses how he teaches &quot;Map&quot; by Jasper Johns, 1961.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning </a>for more teaching and learning resources.';
catalog['A MoMA educator discusses how he teaches &quot;To Lift&quot; by Richard Serra, 1967.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning </a>for more teaching and learning resources.'] = 'A MoMA educator discusses how he teaches &quot;To Lift&quot; by Richard Serra, 1967.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning </a>for more teaching and learning resources.';
catalog['A MoMA educator discusses how she teaches &ldquo;One: Number 31, 1950&quot; by Jackson Pollock, 1950.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning </a>for more teaching and learning resources.'] = 'A MoMA educator discusses how she teaches &ldquo;One: Number 31, 1950&quot; by Jackson Pollock, 1950.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning </a>for more teaching and learning resources.';
catalog['A MoMA educator discusses how she teaches &quot;Bicycle Wheel&quot; by Marcel Duchamp, 1951. &nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.'] = 'A MoMA educator discusses how she teaches &quot;Bicycle Wheel&quot; by Marcel Duchamp, 1951. &nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.';
catalog['A MoMA educator discusses how she teaches &quot;Collective Suicide&quot; by David Alfaro Siqueiros, 1936.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.'] = 'A MoMA educator discusses how she teaches &quot;Collective Suicide&quot; by David Alfaro Siqueiros, 1936.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.';
catalog['A MoMA educator discusses how she teaches &quot;Dive Bomber and Tank&quot; by Jose Clemente Orozco, 1940.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.'] = 'A MoMA educator discusses how she teaches &quot;Dive Bomber and Tank&quot; by Jose Clemente Orozco, 1940.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.';
catalog['A MoMA educator discusses how she teaches &quot;Girl Before a Mirror&quot; by Pablo Picasso, 1932.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.'] = 'A MoMA educator discusses how she teaches &quot;Girl Before a Mirror&quot; by Pablo Picasso, 1932.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.';
catalog['A MoMA educator discusses how she teaches &quot;Self-Portrait with Cropped Hair&quot; by Frida Kahlo, 1940.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.&nbsp;'] = 'A MoMA educator discusses how she teaches &quot;Self-Portrait with Cropped Hair&quot; by Frida Kahlo, 1940.&nbsp;Visit <a href="http://www.moma.org/learn/moma_learning">MoMA Learning</a> for more teaching and learning resources.&nbsp;';
catalog['A Passion for Science Education'] = 'A Passion for Science Education';
catalog['A Renaissance cabinet rediscovered'] = 'A Renaissance cabinet rediscovered';
catalog['A Smarthistory video by Beth Harris and Steven Zucker. For more videos, visit www.smarthistory.org.'] = 'Ein Smarthistory Video von Beth Harris und Steven Zucker. F\u00fcr mehr Videos, gehe auf www.smarthistory.org.';
catalog['A Smarthistory video. See www.smarthistory.org for more videos.'] = 'Ein Smarthistory Video. Geh auf smarthistory.org f\u00fcr mehr Videos.';
catalog['A Third Example of Graphing a Rational Function'] = 'Ein drittes Beispiel f\u00fcr grafische Darstellung einer rationalen Funktion';
catalog['A Tour of Programming on Khan Academy'] = 'Eine Tour durch die Programmierung auf der Khan Academy';
catalog['A Universe Smaller than the Observable'] = 'Ein Universum kleiner als alles Beobachtbare';
catalog['A \'Sharing Network\' is a set of KA Lite installations that share logins and student progress with each other through the internet (when available).'] = 'A \'Sharing Network\' is a set of KA Lite installations that share logins and student progress with each other through the internet (when available).';
catalog['A alternative "short cut" for calculating 3x3 determinants (Rule of Sarrus)'] = 'A alternative "short cut" for calculating 3x3 determinants (Rule of Sarrus)';
catalog['A beginner\'s guide to contemporary art'] = 'A beginner\'s guide to contemporary art';
catalog['A beginner\'s guide to the Baroque'] = 'A beginner\'s guide to the Baroque';
catalog['A beginner\'s guide to the Renaissance'] = 'A beginner\'s guide to the Renaissance';
catalog['A beginner\'s guide to the medieval period'] = 'A beginner\'s guide to the medieval period';
catalog['A beginners guide to the Trecento (1300s)'] = 'A beginners guide to the Trecento (1300s)';
catalog['A better way to solve the "liquidity" and "price discovery" problem.'] = 'A better way to solve the "liquidity" and "price discovery" problem.';
catalog['A bit more in-depth analysis when thinking about the fiscal cliff.'] = 'A bit more in-depth analysis when thinking about the fiscal cliff.';
catalog['A brief history of glassmaking'] = 'A brief history of glassmaking';
catalog['A brief introduction to Charlemagne&#39;s military campaigns and the cultural revival that he supported. Speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'A brief introduction to Charlemagne&#39;s military campaigns and the cultural revival that he supported. Speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['A broad introduction to this field of study'] = 'Eine breite Einf\u00fchrung in dieses Studienfeld';
catalog['A broad set of tutorials covering perimeter area and volume with and without algebra.'] = 'Eine breit gestreute Auswahl an \u00dcbungen \u00fcber Fl\u00e4chenumfang und Volumen mit und ohne Algebra.';
catalog['A cabinet was believed to be a fake made in the 1800s. Through scientific, visual, and archival analysis, scholars proved it was made in 1580 in Burgundy. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'A cabinet was believed to be a fake made in the 1800s. Through scientific, visual, and archival analysis, scholars proved it was made in 1580 in Burgundy. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['A cautionary tale. Other Mobius videos:Candy Buttons http://www.youtube.com/watch?v=OOLIB3cjFqwM\u00f6bius Music Box http://www.youtube.com/watch?v=3iMI_uOM_fYWikipedia links:http://en.wikipedia.org/wiki/M%C3%B6bius_striphttp://en.wikipedia.org/wiki/FlatlandThis is the book you should get if you want to know all things M\u00f6bius: http://www.amazon.com/dp/1560259523?tag=vihartcom-20This story was inspired by the novel Flatland: http://www.amazon.com/dp/019953750X?tag=vihartcom-20There\'s a pretty cool movie version: http://www.amazon.com/dp/1604615370?tag=vihartcom-20Me: http://vihart.com'] = 'A cautionary tale. Other Mobius videos:Candy Buttons http://www.youtube.com/watch?v=OOLIB3cjFqwM\u00f6bius Music Box http://www.youtube.com/watch?v=3iMI_uOM_fYWikipedia links:http://en.wikipedia.org/wiki/M%C3%B6bius_striphttp://en.wikipedia.org/wiki/FlatlandThis is the book you should get if you want to know all things M\u00f6bius: http://www.amazon.com/dp/1560259523?tag=vihartcom-20This story was inspired by the novel Flatland: http://www.amazon.com/dp/019953750X?tag=vihartcom-20There\'s a pretty cool movie version: http://www.amazon.com/dp/1604615370?tag=vihartcom-20Me: http://vihart.com';
catalog['A choice between money now and money later.'] = 'Eine Wahl zwischen Geld jetzt oder Geld sp\u00e4ter.';
catalog['A closer look at the Goldilocks Conditions for life, and an animated voyage through evolution on Earth.'] = 'A closer look at the Goldilocks Conditions for life, and an animated voyage through evolution on Earth.';
catalog['A closer look at the life on Earth and the techniques scientists use to study living organisms.'] = 'A closer look at the life on Earth and the techniques scientists use to study living organisms.';
catalog['A compass will align with the lines of force around a magnet. How could you do this in 3 dimensions?'] = 'A compass will align with the lines of force around a magnet. How could you do this in 3 dimensions?';
catalog['A conservation of energy problem where all of the energy is not conserved.'] = 'A conservation of energy problem where all of the energy is not conserved.';
catalog['A conversation at the American Museum of Natural History between Dr. Laurel Kendall, Curator, Asian Ethnographic Collections and Dr. Monique Scott, Assistant Director of Cultural Education in front of four Buddhist sculptures:\n\nSeated Gautama Buddha, 18th Century, cast brass, gilt (Thailand)\nGandharan Seated Buddha with Double Halo, attributed to the 3rd Century, green-gray  schist (Pakistan)\nJizo, Kshitigarbha, Dhyani-Bodhisattao, 19th Century, wood, gold (Japan)\nBudai (Ho t\'ai)/Maitreya, The Laughing Buddha, c. 1900, metal (China)\n\nProduced by Dr. Beth Harris and Dr. Steven Zucker for Smarthistory at Khan Academy'] = 'A conversation at the American Museum of Natural History between Dr. Laurel Kendall, Curator, Asian Ethnographic Collections and Dr. Monique Scott, Assistant Director of Cultural Education in front of four Buddhist sculptures:\n\nSeated Gautama Buddha, 18th Century, cast brass, gilt (Thailand)\nGandharan Seated Buddha with Double Halo, attributed to the 3rd Century, green-gray  schist (Pakistan)\nJizo, Kshitigarbha, Dhyani-Bodhisattao, 19th Century, wood, gold (Japan)\nBudai (Ho t\'ai)/Maitreya, The Laughing Buddha, c. 1900, metal (China)\n\nProduced by Dr. Beth Harris and Dr. Steven Zucker for Smarthistory at Khan Academy';
catalog['A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of Albrecht Altdorfer\'s The Battle of Issus, 1529, oil on panel, 158.4 \u00d7\u00a0120.3\u00a0cm, Alte Pinakothek, Munich'] = 'A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of Albrecht Altdorfer\'s The Battle of Issus, 1529, oil on panel, 158.4 \u00d7\u00a0120.3\u00a0cm, Alte Pinakothek, Munich';
catalog['A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of Portrait Head of Queen Tiye with a Crown of Two Feathers, c. 1355 B.C.E., Amarna Period, Dynasty 18, New Kingdom, Egypt, yew wood, lapis lazuli, silver, gold, faience, 22.5 cm high (Egyptian Museum and Papyrus Collection at the Neues Museum, Berlin)'] = 'A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of Portrait Head of Queen Tiye with a Crown of Two Feathers, c. 1355 B.C.E., Amarna Period, Dynasty 18, New Kingdom, Egypt, yew wood, lapis lazuli, silver, gold, faience, 22.5 cm high (Egyptian Museum and Papyrus Collection at the Neues Museum, Berlin)';
catalog['A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of an Attic black figure amphora by Exekias (potter and painter), archaic period, c. 540-530 B.C.E., 61.1 cm high, found Vulci (Gregorian Etruscan Museum, Vatican)'] = 'A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of an Attic black figure amphora by Exekias (potter and painter), archaic period, c. 540-530 B.C.E., 61.1 cm high, found Vulci (Gregorian Etruscan Museum, Vatican)';
catalog['A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of: Marcel Duchamp, Fountain, 1917/1964, porcelain urinal, paint, San Francisco Museum of Modern Art'] = 'A conversation between Dr. Beth Harris and Dr. Steven Zucker in front of: Marcel Duchamp, Fountain, 1917/1964, porcelain urinal, paint, San Francisco Museum of Modern Art';
catalog['A conversation between Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker in front of &quot;Two Royal Figures,&quot; Iran (Saljuq period), mid 11th - mid 12th c., painted and gilded stucco (Metropolitan Museum of Art).&nbsp;'] = 'A conversation between Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker in front of &quot;Two Royal Figures,&quot; Iran (Saljuq period), mid 11th - mid 12th c., painted and gilded stucco (Metropolitan Museum of Art).&nbsp;';
catalog['A conversation between Salman Khan and Steven Zucker about Jasper Johns, Flag, 1954-55 (dated on reverse 1954), encaustic, oil, and collage on fabric mounted on plywood, three panels, 42-1/4 x 60-5/8 inches /107.3 x 153.8 cm (The Museum of Modern Art)'] = 'A conversation between Salman Khan and Steven Zucker about Jasper Johns, Flag, 1954-55 (dated on reverse 1954), encaustic, oil, and collage on fabric mounted on plywood, three panels, 42-1/4 x 60-5/8 inches /107.3 x 153.8 cm (The Museum of Modern Art)';
catalog['A conversation between Salman Khan and Steven Zucker about Pablo Picasso\'s sculpture, Guitar and related work, 1912-14 at The Museum of Modern Art'] = 'A conversation between Salman Khan and Steven Zucker about Pablo Picasso\'s sculpture, Guitar and related work, 1912-14 at The Museum of Modern Art';
catalog['A conversation with Dr. Darius Arya and Dr. Beth Harris.'] = 'A conversation with Dr. Darius Arya and Dr. Beth Harris.';
catalog['A couple of problems involving Archimedes\' principle and buoyant forces.'] = 'A couple of problems involving Archimedes\' principle and buoyant forces.';
catalog['A derivation of a new motion equation'] = 'A derivation of a new motion equation';
catalog['A derivative at a point in a curve can be viewed as the slope of the line tangent to that curve at that point.  Given this, the natural next question is what the equation of that tangent line is.  In this tutorial, we\'ll not only find equations of tangent lines, but normal ones as well!'] = 'Eine Ableitung in einem Punkt in einer Kurve kann als die Steigung der Tangente in diesem Punkt der Kurve angesehen werden. Angesichts dieser Tatsache ist nat\u00fcrlich die n\u00e4chste Frage, wie die Gleichung f\u00fcr die Tangente lautet. In diesem Lernprogramm finden wir nicht nur Gleichungen der Tangenten, sondern auch von normalen Geraden!';
catalog['A detailed demonstration of how to build this project, from beginning to end.'] = 'A detailed demonstration of how to build this project, from beginning to end.';
catalog['A detailed explanation of what makes bitcoin transaction block chains secure.'] = 'A detailed explanation of what makes bitcoin transaction block chains secure.';
catalog['A detailed look at shapes that are prevalent in science: conic sections'] = 'Eine ausf\u00fchrliche Betrachtung von Formen, die in der Wissenschaft weit verbreitet sind: Kegelschnitte';
catalog['A dialogue with the number 2, with special guest Brady Haran of Numberphile and other channels!\nhttp://www.youtube.com/user/numberphile\nhttp://www.youtube.com/user/periodicvideos\nhttp://www.youtube.com/user/sixtysymbols'] = 'A dialogue with the number 2, with special guest Brady Haran of Numberphile and other channels!\nhttp://www.youtube.com/user/numberphile\nhttp://www.youtube.com/user/periodicvideos\nhttp://www.youtube.com/user/sixtysymbols';
catalog['A different way of thinking about probability when we don\'t have equally likely events'] = 'Eine andere Art \u00fcber Wahrscheinlichkeit zu denken wenn wir Vorkommnisse mit unterschiedlicher Wahrscheinlichkeit haben';
catalog['A different way to think about the probability of getting 2 heads in 4 flips'] = 'Eine andere Art \u00fcber die Wahrscheinlichkeit nachzudenken, 2 Mal Kopf bei 4 M\u00fcnzw\u00fcrfen zu erhalten';
catalog['A difficult but interesting derivative word problem'] = 'Eine schwierige, aber interessante Textaufgabe f\u00fcr Ableitungen';
catalog['A discussion about US health care costs'] = 'A discussion about US health care costs';
catalog['A discussion of inflation and deflation'] = 'Eine Diskussion \u00fcber Inflation und Deflation';
catalog['A discussion of the various ways to measure return on assets'] = 'A discussion of the various ways to measure return on assets';
catalog['A discussion of the virtues and/or vices of short selling.'] = 'Eine Diskussion \u00fcber die Tugenden und/oder Laster des Shortsellings.';
catalog['A discussion of what entropy is and what it isn\'t.'] = 'A discussion of what entropy is and what it isn\'t.';
catalog['A dog is balancing on one arm on my head.  Is my head applying a force to the dog\'s hand?  If it weren\'t, wouldn\'t there be nothing to offset the pull of gravity causing the acrobatic dog to fall?  What would we call this force?  Can we have a general term from the component of a contact force that acts perpendicular to the plane of contact?  These are absolutely normal questions to ask.'] = 'A dog is balancing on one arm on my head.  Is my head applying a force to the dog\'s hand?  If it weren\'t, wouldn\'t there be nothing to offset the pull of gravity causing the acrobatic dog to fall?  What would we call this force?  Can we have a general term from the component of a contact force that acts perpendicular to the plane of contact?  These are absolutely normal questions to ask.';
catalog['A few examples of factoring quadratics'] = 'Einige Beispiele f\u00fcr die Zerlegung quadratischer Gleichungen';
catalog['A few more 45-45-90 examples and an introduction to 30-60-90 triangles.'] = 'Noch ein paar 45-45-90 Beispiele und Einf\u00fchrung in 30-60-90 Dreiecke.';
catalog['A few more examples of exponential decay.'] = 'Ein paar weitere Beispiele f\u00fcr exponentiellen Zerfall.';
catalog['A few more examples using SOH CAH TOA'] = 'Weitere Beispiele zur Verwendung von SOH-CAH-TOA';
catalog['A few more examples where we are asked to evaluate an expression with multiple uknown variables'] = 'Noch einige Beispiele, in denen wir Ausdr\u00fccke mit mehreren unbekannten Variablen auswerten';
catalog['A firm\'s marginal product revenue curve'] = 'A firm\'s marginal product revenue curve';
catalog['A four-cell battery generates 2 volts, but we need to generate 3 volts to light the blue LED.'] = 'A four-cell battery generates 2 volts, but we need to generate 3 volts to light the blue LED.';
catalog['A framework for thinking about how many detectable civilizations are out there.'] = 'Ein Bezugsrahmen zum Nachdenken \u00fcber nachweisbare au\u00dferirdische Zivilisationen.';
catalog['A free world-class education for anyone anywhere.'] = 'Eine kostenlose Weltklasse Bildung f\u00fcr jeden und \u00fcberall.';
catalog['A function isn\'t continuous when there is a "break" in its graph.  This tutorial uses limits to define this idea more formally and gives practice thinking about continuity (and discontinuity) in terms of limits.'] = 'Eine Funktion ist nicht kontinuierlich, wenn es eine "Unterbrechung" im Graphen gibt.  Dieses Tutorial verwendet Grenzwerte, um diese Idee formal zu definieren und \u00fcbt dich in der Praxis \u00fcber Kontinuit\u00e4t (und Diskontinuit\u00e4t) durch Bezug auf Grenzwerte nachzudenken.';
catalog['A giant egg, the great turtle, Greek gods: What might the world have looked like in some other origin stories?<br>'] = 'A giant egg, the great turtle, Greek gods: What might the world have looked like in some other origin stories?<br>';
catalog['A glimpse of the mystery of the Universe as we approximate e^x with an infinite series.'] = 'Ein Eindruck vom Geheimnis des Universums, wenn wir e^x mit einer unendlichen Reihe ann\u00e4hern.';
catalog['A grab bag of things to know about the Laplace Transform.'] = 'Eine Wundert\u00fcte von Wissenswertem \u00fcber die Laplace-Transformation.';
catalog['A hairy resistance problem'] = 'A hairy resistance problem';
catalog['A high-level explanation of digital signature schemes, which are a fundamental building block in many cryptographic protocols.'] = 'A high-level explanation of digital signature schemes, which are a fundamental building block in many cryptographic protocols.';
catalog['A line of symmetry for a two-dimensional figure is a line across the figure such that the figure can be folded along the line into matching parts. In this tutorial, we\'ll identify line-symmetric figures and draw lines of symmetry.\n\nCommon Core Standard: 4.G.A.3'] = 'Eine Symmetrieachse einer zweidimensionalen Figur ist eine Gerade, die so durch die Figur verl\u00e4uft, dass man die Figur entlang der Gerade falten kann und die beiden Teile genau auf einander passen. In diesem Tutorial erkennen wir achsensymmetrische Figuren und zeichnen Symmetrieachsen ein.\n\nCommon Core Standard: 4.G.A.3';
catalog['A little bit more on gravity'] = 'A little bit more on gravity';
catalog['A little bit on gravity'] = 'Ein bisschen \u00fcber die Schwerkraft';
catalog['A little more intuition on the cross product.'] = 'A little more intuition on the cross product.';
catalog['A little practice converting between radians and degrees and vice versa'] = 'Ein wenig \u00dcbung im Umwandeln von Bogenma\u00df in Grad und umgekehrt';
catalog['A little quiz on some of the ideas in Newton\'s first law'] = 'A little quiz on some of the ideas in Newton\'s first law';
catalog['A little trigonometry to figure out the area of a triangle'] = 'Ein wenig Trigonometrie zur Ermittlung der Fl\u00e4che eines Dreiecks';
catalog['A look at a seductive but wrong Gibbs/spontaneity proof'] = 'A look at a seductive but wrong Gibbs/spontaneity proof';
catalog['A look at modern veneration from the British Museum'] = 'A look at modern veneration from the British Museum';
catalog['A look at why the "proof"  of the relation between changes in Gibbs Free Energy and Spontaneity is wrong in many textbooks.'] = 'A look at why the "proof"  of the relation between changes in Gibbs Free Energy and Spontaneity is wrong in many textbooks.';
catalog['A man with such a huge "Napoleonic complex", that they named it after him.  A military genius with a ginormous ego, some people consider him a hero or a tyrant or both.\n\nFrance has successfully overthrown Louis XVI in 1789.  It has gone through a many-year period of bloodshed and instability.  The monarch\'s of Europe are not happy about this "overthrow-your-king" business.  A 5\'6\'\' Corsican establishes himself as a strong military tactician during the wars with other European powers and soon comes to power in France.\n\nThis tutorial covers the rise and fall of one of the most famous men in all of history: Napoleon Bonaparte (Napoleon I).'] = 'A man with such a huge "Napoleonic complex", that they named it after him.  A military genius with a ginormous ego, some people consider him a hero or a tyrant or both.\n\nFrance has successfully overthrown Louis XVI in 1789.  It has gone through a many-year period of bloodshed and instability.  The monarch\'s of Europe are not happy about this "overthrow-your-king" business.  A 5\'6\'\' Corsican establishes himself as a strong military tactician during the wars with other European powers and soon comes to power in France.\n\nThis tutorial covers the rise and fall of one of the most famous men in all of history: Napoleon Bonaparte (Napoleon I).';
catalog['A mathematical lock using modular arithmetic'] = 'Eine mathematische Sperre durch modulare Arithmetik';
catalog['A mathematical theory of communication'] = 'Eine mathematische Theorie der Kommunikation';
catalog['A mile, a year, a foot: all our everyday measures relate to a familiar scale. Big history is so big that we need to use entirely different measurements on an entirely different scale.'] = 'A mile, a year, a foot: all our everyday measures relate to a familiar scale. Big history is so big that we need to use entirely different measurements on an entirely different scale.';
catalog['A more complex problem'] = 'Eine komplexere \u00dcbung';
catalog['A more concrete attempt at showing how the probabilities of molecules reacting is related to their concentration.'] = 'Ein konkreter Versuch zu zeigen, wie die Wahrscheinlichkeiten von Molek\u00fclen, miteinander zu reagieren, verwandt ist mit ihrer Konzentration.';
catalog['A more formal understanding of functions'] = 'Ein eher formales Verst\u00e4ndnis von Funktionen';
catalog['A new problem emerges in the 20th century. What happens if Alice and Bob can never meet to share a key in the first place?'] = 'Ein neues Problem entsteht im 20. Jahrhundert. Was passiert wenn Alice und Bob sich niemals treffen k\u00f6nnen, um \u00fcberhaupt erst einen Schl\u00fcssel zu teilen?';
catalog['A paper conservator balances the historical integrity of a drawing while preserving the appearance intended by the artist. Watch a Getty conservator analyze and treat an old master drawing. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'A paper conservator balances the historical integrity of a drawing while preserving the appearance intended by the artist. Watch a Getty conservator analyze and treat an old master drawing. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['A passion for science education led Linda Jeschognig from her life in accounting to a second act as an entrepreneur. She talks about the inspiration behind Hands-on Labs and overcoming the obstacles with a company created to send kits containing hydrochloric acid, cobalt nitrate and other hazardous elements to college chemistry students. Along the way, Jeschofnig has gained support and reached out to guide other women on the entrepreneurial path.'] = 'A passion for science education led Linda Jeschognig from her life in accounting to a second act as an entrepreneur. She talks about the inspiration behind Hands-on Labs and overcoming the obstacles with a company created to send kits containing hydrochloric acid, cobalt nitrate and other hazardous elements to college chemistry students. Along the way, Jeschofnig has gained support and reached out to guide other women on the entrepreneurial path.';
catalog['A pattern emerges!'] = 'Eine Muster entsteht!';
catalog['A pencil causes a change in the deflection, similar to the effect of adding an electromagnet. Why?'] = 'A pencil causes a change in the deflection, similar to the effect of adding an electromagnet. Why?';
catalog['A possible reason why even functions are called "even" and odd functions are called "odd"'] = 'Ein m\u00f6glicher Grund, warum gerade Funktionen "gerade" und ungerade Funktionen "ungerade" hei\u00dfen';
catalog['A primer of why Greece is in a tough situation (more in future videos)'] = 'Warum Griechenland in einer schwierigen Situation steckt (mehr in sp\u00e4teren Videos)';
catalog['A probabilistic look at how molecules react to develop the intuition behind the equilibrium constant formula.'] = 'Ein probabilistischer Blick darauf, wie Molek\u00fcle reagieren, um ein Gef\u00fchl f\u00fcr Gleichgewichts-Konstanten-Formel zu entwickeln.';
catalog['A project between Khan Academy and Rome Reborn - with Dr. Bernard Frischer'] = 'Ein Projekt der Khan Academy und Rome Reborn - mit Dr. Bernard Frischer';
catalog['A projection onto a subspace is a linear transformation'] = 'A projection onto a subspace is a linear transformation';
catalog['A quick outline of how & why it works.'] = 'Ein schneller \u00dcberblick dar\u00fcber, wie und warum es funktioniert.';
catalog['A quick response to some mathy things going around.'] = 'A quick response to some mathy things going around.';
catalog['A quick tour of the many components of games and visualizations, demonstrated by some of our favorite programs.'] = 'A quick tour of the many components of games and visualizations, demonstrated by some of our favorite programs.';
catalog['A race to keep pace!'] = 'A race to keep pace!';
catalog['A real life example of a transaction involving CDOs.'] = 'A real life example of a transaction involving CDOs.';
catalog['A review of Keq, Ka, and pKa'] = 'A review of Keq, Ka, and pKa';
catalog['A review of fresco and tempera and the development of the use of&nbsp;oil paint by artists in Venice.'] = 'A review of fresco and tempera and the development of the use of&nbsp;oil paint by artists in Venice.';
catalog['A review of how to calculate quantities of shapes.'] = 'A review of how to calculate quantities of shapes.';
catalog['A review of hybrid orbitals, dot structures, electronegativity, and polarity'] = 'A review of hybrid orbitals, dot structures, electronegativity, and polarity';
catalog['A shape that has an infinite perimeter but finite area'] = 'A shape that has an infinite perimeter but finite area';
catalog['A short documentary on the stupa, a hemispherical mound that represents the burial mound of the Buddha.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/stupa">Learn more about the stupa</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'A short documentary on the stupa, a hemispherical mound that represents the burial mound of the Buddha.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/stupa">Learn more about the stupa</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['A short film about the installation of De Wain Valentine\'s <em>Gray Column</em> at the Getty Center.&nbsp;<span>Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a></span>'] = 'A short film about the installation of De Wain Valentine\'s <em>Gray Column</em> at the Getty Center.&nbsp;<span>Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a></span>';
catalog['A short sample of projects that Sal and Aragon used  alongside the Khan Academy core software and videos.  These are the types of projects that can be done if less class time is devoted to traditional lecturing'] = 'Eine kurze Auswahl von Projekten, die Sal und Aragon neben der Kernsoftware und den Videos der Khan Academy verwenden.  Derartige Projekte k\u00f6nnen durchgef\u00fchrt werden, wenn man auf traditionelle Vorlesungen weniger Unterrichtszeit verwendet';
catalog['A shortcut for having to evaluate the cross product of three vectors'] = 'Eine Abk\u00fcrzung, wenn man das Kreuzprodukt von drei Vektoren auswerten muss';
catalog['A simple conservation of momentum problem involving an ice skater and a ball'] = 'A simple conservation of momentum problem involving an ice skater and a ball';
catalog['A simple proof of the Law of Sines'] = 'Ein einfacher Beweis des Sinussatzes';
catalog['A single definite integral can be used to find the area under a curve.  with double integrals, we can start thinking about the volume under a surface!'] = 'Ein einzelnes bestimmtes Integral kann verwendet werden, um die Fl\u00e4che unter einer Kurve zu finden.  Mit doppelten Integralen k\u00f6nnen wir anfangen, \u00fcber das Volumen unter einer Oberfl\u00e4che nachzudenken!';
catalog['A situation where the price to earnings ratio seems to not fairly price an asset'] = 'A situation where the price to earnings ratio seems to not fairly price an asset';
catalog['A slightly more difficult tension problem.'] = 'A slightly more difficult tension problem.';
catalog['A slightly more involved ratio problem with algebra'] = 'Eine etwas umfassendere Verh\u00e4ltnisaufgabe mit Algebra';
catalog['A solar cell connected to a speaker converts the light into sound.'] = 'A solar cell connected to a speaker converts the light into sound.';
catalog['A solution that is MUCH fairer that has a MUCH better chance of working!'] = 'A solution that is MUCH fairer that has a MUCH better chance of working!';
catalog['A song about a circle constant'] = 'A song about a circle constant';
catalog['A spring, a frozen loop-d-loop and more!  (See if you can find the mistake I made and get the right answer!)'] = 'A spring, a frozen loop-d-loop and more!  (See if you can find the mistake I made and get the right answer!)';
catalog['A strong contender for coolest symbol in mathematics is the radical.  What is it?  How does it relate to exponents?  How is the square root different than the cube root?  How can I simplify, multiply and add these things?  \n\nThis tutorial assumes you know the basics of exponents and exponent properties and takes you through the radical world for radicals (and gives you some good practice along the way)!'] = 'Ein guter Kandidat f\u00fcr das coolste Symbol in der Mathematik ist das Wurzelzeichen. Was ist es? Wie h\u00e4ngt es mit den Exponenten zusammen? Wie ist der Unterschied zwischen Quadratwurzel und Kubikwurzel? Wie kann ich sie vereinfachen, multiplizieren und addieren? Diese Tutorial setzt voraus, dass du die Grundlagen von Exponenten und ihre Eigenschaften kennst, und f\u00fchrt dich durch die Welt des Wurzelzeichens (und gibt dir einige gute \u00dcbungen auf den Weg)!';
catalog['A strong contender for coolest symbol in mathematics is the radical.  What is it?  How does it relate to exponents?  How is the square root different than the cube root?\n\nCommon Core Standards: 8.EE.A.2'] = 'Ein starker Kandidat f\u00fcr das coolste Symbol in der Mathematik ist das Wurzelzeichen. Was ist es? Worin liegt der Zusammenhang zu Exponenten? Wie unterscheidet sich die Quadratwurzel von der Kubikwurzel?\n\nCommon Core Standards: 8.EE.A.2';
catalog['A subscription for \'%s\' was added.'] = 'A subscription for \'%s\' was added.';
catalog['A system for solving the King\'s problems'] = 'Ein System um das Problem des K\u00f6nigs zu l\u00f6sen';
catalog['A third example of graphing a rational function'] = 'Ein drittes Beispiel f\u00fcr grafische Darstellung einer rationalen Funktion';
catalog['A troll forces us to use algebra to figure out the make-up of his currency.  We end up setting up a system of equations'] = 'Ein Troll zwingt uns dazu, Algebra zu nutzen, um hinter seine erfundene W\u00e4hrung zu kommen. Dazu erstellen wir ein System aus Gleichungen';
catalog['A tutorial about the Protestant Reformation'] = 'Ein Tutorial \u00fcber die Reformation';
catalog['A universe smaller than the observable'] = 'A universe smaller than the observable';
catalog['A user with this username already exists. Please choose a new username and try again.'] = 'Ein Benutzer mit diesem Benutzernamen existiert bereits. Bitte w\u00e4hle einen neuen Benutzernamen und versuche es erneut.';
catalog['A user with this username already exists.'] = 'A user with this username already exists.';
catalog['A user with this username at this facility already exists. Please choose a new username (or select a different facility) and try again.'] = 'Es existiert bereits ein Benutzer mit diesem Benutzernamen f\u00fcr diese Einrichtung. Bitte w\u00e4hle einen neuen Benutzernamen (oder eine andere Einrichtung) aus und versuche es nochmal.';
catalog['A very special class of often non-linear differential equations.  If you know a bit about partial derivatives, this tutorial will help you know how to \'exactly\' solve these!'] = 'Eine ganz besondere Klasse oft nichtlinearer Differentialgleichungen. Wenn du dich ein wenig mit partiellen Differentialquotienten auskennst, hilft dir dieses Tutorial, wie du die Aufgabe "genau" l\u00f6sen kannst!';
catalog['A video from the Utah System of Higher Education (with special thanks to Dr. Nancy Ross)&nbsp;'] = 'A video from the Utah System of Higher Education (with special thanks to Dr. Nancy Ross)&nbsp;';
catalog['A video from the Utah System of Higher Education (with special thanks to Dr. Nancy Ross)'] = 'A video from the Utah System of Higher Education (with special thanks to Dr. Nancy Ross)';
catalog['A video from the Utah System of Higher Education (with special thanks to Dr. Nancy Ross). Video by Ydraw.'] = 'Ein Video der Utah System of Higher Education (besonderen Dank an Dr. Nancy Ross). Video von Ydraw.';
catalog['A virtual tour of Hadrian\'s Villa using a 3D digital model of the villa created under the direction of Dr. Bernard Frischer.\n\nThe ruins of Hadrian\'s Villa, in the town of Tivoli, near Rome, is spread over an area of approximately 250 acres. Many of the structures were designed by the Emperor Hadrian who ruled from 117 until his death in 138 C.E. This virual rendering is based on current archeological research and has been created in consultation with art historians, archaeologists, and museum curators with expertise in this area. Please note, a few features are necessarily assumptions based on the best available evidence.\n\nSpeakers: Dr. Bernard Frischer and Dr. Beth Harris'] = 'A virtual tour of Hadrian\'s Villa using a 3D digital model of the villa created under the direction of Dr. Bernard Frischer.\n\nThe ruins of Hadrian\'s Villa, in the town of Tivoli, near Rome, is spread over an area of approximately 250 acres. Many of the structures were designed by the Emperor Hadrian who ruled from 117 until his death in 138 C.E. This virual rendering is based on current archeological research and has been created in consultation with art historians, archaeologists, and museum curators with expertise in this area. Please note, a few features are necessarily assumptions based on the best available evidence.\n\nSpeakers: Dr. Bernard Frischer and Dr. Beth Harris';
catalog['A visual and musical expression of mathematical symmetry groups. The transformations done to the video are equivalent to the transformations done to the notes.\n\nThese type of repeating patterns are called frieze patterns. A couple wallpaper groups are also represented.'] = 'A visual and musical expression of mathematical symmetry groups. The transformations done to the video are equivalent to the transformations done to the notes.\n\nThese type of repeating patterns are called frieze patterns. A couple wallpaper groups are also represented.';
catalog['A wealth and variety of species, or species richness, promote strong ecological networks and functions, making ecosystems more resilient to major disturbances and collapse.'] = 'A wealth and variety of species, or species richness, promote strong ecological networks and functions, making ecosystems more resilient to major disturbances and collapse.';
catalog['A1C levels'] = 'A1C levels';
catalog['AB EX NY: MoMA and Abstract Expressionism'] = 'AB EX NY: MoMA and Abstract Expressionism';
catalog['ADH effects on blood pressure'] = 'ADH effects on blood pressure';
catalog['ADH secretion'] = 'ADH secretion';
catalog['AIME'] = 'AIME';
catalog['AMC 10'] = 'AMC 10';
catalog['AMT overview'] = 'AMT overview';
catalog['ANOVA 1: Calculating SST (total sum of squares)'] = 'ANOVA 1: Berechnung der SST (Gesamtsumme der Abweichungsquadrate)';
catalog['ANOVA 2: Calculating SSW and SSB (total sum of squares within and between)'] = 'ANOVA 2: Berechnung von SSW und SSB (Gesamtsumme der Abweichungsquadrate innerhalb und zwischen)';
catalog['ANOVA 3: Hypothesis test with F-statistic'] = 'ANOVA 3: Hypothesen testen mit F-Test';
catalog['AP Art History'] = 'AP Art History';
catalog['AP Art history'] = 'AP Art history';
catalog['AP Calculus BC exams: 2008 1 a'] = 'AP Calculus BC exams: 2008 1 a';
catalog['AP Calculus BC exams: 2008 1 b&c'] = 'AP Calculus BC Pr\u00fcfungen: 2008 1 b&c';
catalog['AP Calculus BC exams: 2008 1 c&d'] = 'AP Calculus BC Pr\u00fcfungen: 2008 1 c&d';
catalog['AP Calculus BC exams: 2008 1 d'] = 'AP Calculus BC Pr\u00fcfungen: 2008 1 d';
catalog['AP Calculus practice questions'] = 'AP Analysis Praxisfragen';
catalog['ATP & respiration'] = 'ATP & Atmung';
catalog['ATP hydrolysis: Gibbs free energy'] = 'ATP hydrolysis: Gibbs free energy';
catalog['ATP hydrolysis: Transfer of a phosphate group'] = 'ATP Hydrolyse: \u00dcbertragung einer Phosphatgruppe';
catalog['ATP: Adenosine triphosphate'] = 'ATP: Adenosintriphosphat';
catalog['About 200,000 years ago, man evolved to become the most important force for change on the Earth\u2019s surface. What makes us so different from other living things? How did we, together, make something entirely new?<br>'] = 'About 200,000 years ago, man evolved to become the most important force for change on the Earth\u2019s surface. What makes us so different from other living things? How did we, together, make something entirely new?<br>';
catalog['About Us'] = '\u00dcber uns';
catalog['About pi and tau'] = '\u00dcber Pi und tau';
catalog['Absolute Inequalities 2'] = 'Absolute Ungleichungen 2';
catalog['Absolute Value Equations 1'] = 'Absolutwert Gleichungen 1';
catalog['Absolute Value Equations'] = 'Gleichungen mit Betr\u00e4gen';
catalog['Absolute Value Inequalities'] = 'Ungleichungen mit Betr\u00e4gen';
catalog['Absolute Value and Number Lines'] = 'Der absolute Wert und Zahlenstrahlen';
catalog['Absolute Value of Integers'] = 'Absolutwert von Ganzzahlen';
catalog['Absolute and relative maxima and minima'] = 'Absolute und relative Maxima und Minima';
catalog['Absolute inequalities 2'] = 'Absolute Ungleichungen 2';
catalog['Absolute maximum over an interval.  Critical points and differentiability.'] = 'Absolute maximum over an interval.  Critical points and differentiability.';
catalog['Absolute temperature and the kelvin scale '] = 'Absolute temperature and the kelvin scale ';
catalog['Absolute value 1'] = 'Der Betrag 1';
catalog['Absolute value and distance on number line example'] = 'Absolutwert und Abstand auf der Zahlengerade - Beispiel';
catalog['Absolute value and number lines'] = 'Betr\u00e4ge und die Zahlengerade';
catalog['Absolute value equation example 2'] = 'Gleichung mit Betr\u00e4gen Beispiel 2';
catalog['Absolute value equation example'] = 'Gleichungen mit Betr\u00e4gen - Beispiel';
catalog['Absolute value equation with no solution'] = 'Absolutwert Gleichung ohne L\u00f6sung';
catalog['Absolute value equations 1'] = 'Absolutwert Gleichungen 1';
catalog['Absolute value equations example 1'] = 'Gleichungen mit Betragswerten Beispiel 1';
catalog['Absolute value equations'] = 'Gleichungen mit Betr\u00e4gen';
catalog['Absolute value graphing exercise example'] = 'Absolute value graphing exercise example';
catalog['Absolute value inequalities 3'] = 'Absolutwert Ungleichungen 3';
catalog['Absolute value inequalities example 1'] = 'Ungleichungen mit Betr\u00e4gen Beispiel 1';
catalog['Absolute value inequalities example 2'] = 'Ungleichungen mit Betr\u00e4gen Beispiel 2';
catalog['Absolute value inequalities example 3'] = 'Ungleichungen mit Betr\u00e4gen Beispiel 3';
catalog['Absolute value inequalities'] = 'Ungleichungen mit Betr\u00e4gen';
catalog['Absolute value inequalities, graph solution on number line'] = 'Ungleichungen mit Absolutwerten, grafische L\u00f6sung auf dem Zahlenstrahl';
catalog['Absolute value of a complex number'] = 'Absolutwert einer komplexen Zahl';
catalog['Absolute value of complex numbers'] = 'Absolutwerte von komplexen Zahlen';
catalog['Absolute value of integers'] = 'Betrag von ganzen Zahlen';
catalog['Absolute value word problems exercise'] = 'Textaufgaben zum Betrag';
catalog['Absolute value word problems'] = 'Textaufgaben zum Absolutbetrag';
catalog['Absolute value'] = 'Der Absolutwert';
catalog['Absorption lines'] = 'Absorption lines';
catalog['Abstract Expressionism'] = 'Abstrakter Expressionismus';
catalog['Abstract-ness'] = 'Abstrakt-heit';
catalog['Acceleration - Passage 1'] = 'Acceleration - Passage 1';
catalog['Acceleration - Passage 2'] = 'Acceleration - Passage 2';
catalog['Acceleration due to gravity at the space station'] = 'Acceleration due to gravity at the space station';
catalog['Acceleration of aircraft carrier takeoff'] = 'Acceleration of aircraft carrier takeoff';
catalog['Acceleration'] = 'Beschleunigung';
catalog['Access a range of other materials to support learning about the big bang.'] = 'Access a range of other materials to support learning about the big bang.';
catalog['Access to summary data over all facilities and devices.'] = 'Access to summary data over all facilities and devices.';
catalog['Account activated'] = 'Account activated';
catalog['Account activated.'] = 'Account activated.';
catalog['Account administration'] = 'Account administration';
catalog['Account management page for %(student_name)s'] = 'Account management page for %(student_name)s';
catalog['Accounting and financial statements'] = 'Buchhaltung und Finanzberichte';
catalog['Accreting mass due to gravity simulation'] = 'Simulation zur Massenansammlung durch Gravitationswirkung';
catalog['Accrual basis of accounting'] = 'Accrual basis of accounting';
catalog['Accumulating foreign currency reserves'] = 'Accumulating foreign currency reserves';
catalog['Accuracy not guaranteed. Get Audacity and play! http://audacity.sourceforge.net/\n\nCorrection: it is the "Basilar" membrane, which is what I say, but somehow between recording the script and actually drawing the stuff I got confused and thought I just pronounced my Vs poorly. Always sad to have such a simple and glaring error in something I put hundreds of hours of work into, but a "Vasilar" membrane can be the kind that a Vi draws to explain Viola Vibrations, I guess! Making up new words is just so prolightfully awstastic.\n\nProps to my Bro for excellent and creative swing pushing, and to my Mamma for filming it.\n\nExtra special thanks to my generous donators, without whom I would not have been able to create this video. Because of your support, I have the equipment, time, and take-out Thai food necessary for doing stuff like this.'] = 'Accuracy not guaranteed. Get Audacity and play! http://audacity.sourceforge.net/\n\nCorrection: it is the "Basilar" membrane, which is what I say, but somehow between recording the script and actually drawing the stuff I got confused and thought I just pronounced my Vs poorly. Always sad to have such a simple and glaring error in something I put hundreds of hours of work into, but a "Vasilar" membrane can be the kind that a Vi draws to explain Viola Vibrations, I guess! Making up new words is just so prolightfully awstastic.\n\nProps to my Bro for excellent and creative swing pushing, and to my Mamma for filming it.\n\nExtra special thanks to my generous donators, without whom I would not have been able to create this video. Because of your support, I have the equipment, time, and take-out Thai food necessary for doing stuff like this.';
catalog['Acetals as protecting groups and thioacetals'] = 'Acetals as protecting groups and thioacetals';
catalog['Acid and base catalyzed formation of hydrates and hemiacetals'] = 'Acid and base catalyzed formation of hydrates and hemiacetals';
catalog['Acid and base-catalyzed hydrolysis of amides'] = 'Acid and base-catalyzed hydrolysis of amides';
catalog['Acid base definitions'] = 'Acid base definitions';
catalog['Acid base introduction'] = 'Acid base introduction';
catalog['Acid base titration'] = 'Acid base titration';
catalog['Acid-base definitions'] = 'Acid-base definitions';
catalog['Acid-catalyzed ester hydrolysis'] = 'Acid-catalyzed ester hydrolysis';
catalog['Acid/base'] = 'S\u00e4ure/Basen';
catalog['Acidic cleavage of ethers'] = 'Acidic cleavage of ethers';
catalog['Acids and bases'] = 'S\u00e4uren und Basen';
catalog['Acquisitions with shares'] = 'Acquisitions with shares';
catalog['Action potential patterns'] = 'Action potential patterns';
catalog['Action potentials in cardiac myocytes'] = 'Action potentials in cardiac myocytes';
catalog['Action potentials in pacemaker cells'] = 'Action potentials in pacemaker cells';
catalog['Activate users'] = 'Benutzer aktivieren';
catalog['Activating angiotensin 2'] = 'Activating angiotensin 2';
catalog['Activation complete'] = 'Activation complete';
catalog['Active Time Per Login'] = 'Active Time Per Login';
catalog['Active contraction vs. passive recoil'] = 'Active contraction vs. passive recoil';
catalog['Active'] = 'Active';
catalog['Actual CPI-U basket of goods'] = 'Actual CPI-U basket of goods';
catalog['Actual Option Quotes'] = 'Actual Option Quotes';
catalog['Actual option quotes'] = 'Actual option quotes';
catalog['Acute right and obtuse angles'] = 'Spitze, rechte und stumpfe Winkel';
catalog['Ad Reinhardt'] = 'Ad Reinhardt';
catalog['Adaptive value of behavioral traits'] = 'Adaptive value of behavioral traits';
catalog['Add Group'] = 'Gruppe hinzuf\u00fcgen';
catalog['Add New User to Group'] = 'Add New User to Group';
catalog['Add Spout\'s tail'] = 'Add Spout\'s tail';
catalog['Add Student'] = 'Student/Studentin hinzuf\u00fcgen';
catalog['Add Teacher'] = 'Lehrer/Lehrerin hinzuf\u00fcgen';
catalog['Add a group'] = 'Add a group';
catalog['Add a new Facility'] = 'Neue Einrichtung hinzuf\u00fcgen';
catalog['Add a new group'] = 'Neue Gruppe hinzuf\u00fcgen';
catalog['Add a new student'] = 'F\u00fcge einen neuen Sch\u00fcler hinzu';
catalog['Add a new teacher'] = 'F\u00fcge einen neuen Lehrer hinzu';
catalog['Add a student'] = 'Sch\u00fcler hinzuf\u00fcgen';
catalog['Add a teacher'] = 'Lehrer hinzuf\u00fcgen';
catalog['Add and subtract expressions containing radicals.'] = 'Addiere und subtrahiere Ausdr\u00fccke, die Wurzeln beinhalten.';
catalog['Add and subtract matrices'] = 'Addieren und Subtrahieren von Matrizen';
catalog['Add and subtract positive and negative single-digit integers'] = 'Addieren und Subtrahieren von positiven und negativen einstelligen Zahlen';
catalog['Add group'] = 'Gruppe hinzuf\u00fcgen';
catalog['Add or subtract numbers in the complex plane.'] = 'Add or subtract numbers in the complex plane.';
catalog['Add or subtract polynomials'] = 'Addiere und subtrahiere Polynome';
catalog['Add student'] = 'Student hinzuf\u00fcgen';
catalog['Add teacher'] = 'Lehrer hinzuf\u00fcgen';
catalog['Add two 1-digit numbers'] = 'Addiere zwei einstellige Zahlen';
catalog['Add within 1000: Level 1'] = 'Addition bis 100: Stufe 2';
catalog['Add within 1000: Level 2'] = 'Addition bis 1000: Stufe 2';
catalog['Add within 100: Level 1'] = 'Addition bis 100: Stufe 1';
catalog['Add within 100: Level 2'] = 'Addition bis 100: Stufe 2';
catalog['Add/move/delete users across groups.'] = 'Add/move/delete users across groups.';
catalog['Adding Complex Numbers'] = 'Komplexe Zahlen addieren';
catalog['Adding Decimals'] = 'Dezimalzahlen addieren\n';
catalog['Adding Fractions with Like Denominators'] = 'Br\u00fcche mit gleichen Nennern addieren';
catalog['Adding Fractions with Unlike Denominators'] = 'Br\u00fcche mit ungleichen Nennern addieren';
catalog['Adding Mixed Numbers Word Problem'] = 'Addieren von gemischten Zahlen - Textaufgabe';
catalog['Adding Mixed Numbers with Unlike Denominators'] = 'Gemischte Zahlen mit ungleichen Nennern addieren';
catalog['Adding Mixed Numbers'] = 'gemischte Br\u00fcche addieren';
catalog['Adding Negative Numbers'] = 'Addition von negativen Zahlen';
catalog['Adding Polynomials'] = 'Polynome addieren';
catalog['Adding Whole Numbers and Applications 1'] = 'Ganze Zahlen addieren und Anwendungen 1';
catalog['Adding a 2 digit number to a 1 digit number.  Introduction to carrying.'] = 'Addieren einer zweistelligen Zahl und einer einstelligen Zahl. Einf\u00fchrung des \u00dcbertrags.';
catalog['Adding and Simplifying Radicals'] = 'Addieren und vereinfachen von Wurzeln';
catalog['Adding and Subtracting Polynomials 1'] = 'Addition und Subtraktion von Polynomen 1';
catalog['Adding and Subtracting Polynomials 2'] = 'Polynome addieren und subtrahieren 2';
catalog['Adding and Subtracting Polynomials 3'] = 'Polynomen addieren und subtrahieren 3';
catalog['Adding and Subtracting Rational Expressions'] = 'Addition und Subtraktiom von rationalen Ausdr\u00fccken';
catalog['Adding and multiplying polynomials'] = 'Addieren und multiplizieren von Polynomen';
catalog['Adding and simplifying radicals'] = 'Addieren und vereinfachen von Wurzeln';
catalog['Adding and subtracting a decimal percentage and fraction'] = 'Addieren und Subtrahieren von Dezimalzahlen, Prozenten und Br\u00fcchen';
catalog['Adding and subtracting complex numbers'] = 'Addition und Subtraktion von komplexen Zahlen';
catalog['Adding and subtracting decimals percentages and fractions'] = 'Dezimalzahlen, Prozente und Br\u00fcche addieren und subtrahieren';
catalog['Adding and subtracting decimals word problems'] = 'Textaufgaben zur Addition und Subtraktion von Dezimalzahlen';
catalog['Adding and subtracting decimals'] = 'Addieren und subtrahieren von Dezimalzahlen';
catalog['Adding and subtracting expressions with a common denominator, where each is of the form (Ax+B)/(Cx+D).'] = 'Addieren und Subtrahieren von Ausdr\u00fccken, die einen gemeinsamen Nenner haben, wobei jeder Ausdruck die Form (Ax+B)/(Cx+D) hat.';
catalog['Adding and subtracting fractions with common denominators'] = 'Addition und Subtraktion von Bruechen mit dem selben Nenner';
catalog['Adding and subtracting fractions with like denominators word problems'] = 'Textaufgaben zur Addition und Substraktion von Br\u00fcchen mit gleichen Nennern';
catalog['Adding and subtracting fractions with unlike denominators word problems'] = 'Textaufgaben zur Addition und Subtraktion von Br\u00fcchen mit ungleichen Nennern';
catalog['Adding and subtracting fractions with unlike denominators'] = 'Br\u00fcche mit ungleichen Nennern addieren und subtrahieren';
catalog['Adding and subtracting fractions word problems'] = 'Addition und Subtraktion von Br\u00fcchen durch Textaufgaben';
catalog['Adding and subtracting fractions'] = 'Addieren und Subtrahieren von Br\u00fcchen';
catalog['Adding and subtracting is the basis of all mathematics.  This tutorial introduces you to one-digit addition and subtraction.  You might become pretty familiar with the number line too!'] = 'Addition und Subtraktion builden die Grundlage aller Mathematik. Dieses Tutorial stellt Dir die einstellige Addition und Subtraktion vor. Du wirst auch mit dem Zahlenstrahl vertraut machen!\n';
catalog['Adding and subtracting mixed numbers 0.5 (ex 1)'] = 'Addition und Subtraktion von gemischten Zahlen 0,5 (ex 1)';
catalog['Adding and subtracting mixed numbers 0.5 (ex 2)'] = 'Addition und Subtraktion von gemischten Zahlen 0,5 (ex 2)';
catalog['Adding and subtracting mixed numbers 0.5'] = 'Addieren und subtrahieren gemischter Br\u00fcche 0.5';
catalog['Adding and subtracting mixed numbers 1 (ex 1)'] = 'Addition und Subtraktion von gemischten Zahlen 1 (ex 1)';
catalog['Adding and subtracting mixed numbers 1 (ex 2)'] = 'Addition und Subtraktion von gemischten Zahlen 1 (ex 2)';
catalog['Adding and subtracting mixed numbers 1'] = 'Addition und Subtraktion von gemischten Br\u00fcchen 1';
catalog['Adding and subtracting multiple variable expressions with the same denominators where each is an expression containing up to two terms and four variables.'] = 'Addieren und Subtrahieren von Ausdr\u00fccken mit mehreren Variablen mit gleichem Nenner, wobei jeder Ausdruck bis zwei Terme und vier Variablen enth\u00e4lt.';
catalog['Adding and subtracting negative number examples'] = 'Addition und Subtraktion von negativen Zahlen - Beispiele';
catalog['Adding and subtracting negative numbers'] = 'Addieren und Subtrahieren von negativen Zahlen';
catalog['Adding and subtracting negatives exercise example'] = 'Addition und Subtraktion von Negativen - \u00dcbungsbeispiel';
catalog['Adding and subtracting on the number line word problems'] = 'Adding and subtracting on the number line word problems';
catalog['Adding and subtracting polynomials 1'] = 'Addition und Subtraktion von Polynomen 1';
catalog['Adding and subtracting polynomials 2'] = 'Polynome addieren und subtrahieren 2';
catalog['Adding and subtracting polynomials 3'] = 'Polynomen addieren und subtrahieren 3';
catalog['Adding and subtracting polynomials'] = 'Addition und Subtraktion von Polynomen';
catalog['Adding and subtracting positive and negative whole numbers. Starts with 1+1=2 and covers carrying, borrowing, and word problems.'] = 'Addieren und subtrahieren von positiven und negativen ganzen Zahlen. F\u00e4ngt an mit 1+1=2 und behandelt das \u00dcberschreiten der Zehnergrenze und Textaufgaben.';
catalog['Adding and subtracting radicals'] = 'Addieren und Subtrahieren von Wurzeln';
catalog['Adding and subtracting rational expressions 0.5'] = 'Addieren und Subtrahieren rationaler Terme 0.5';
catalog['Adding and subtracting rational expressions 1'] = 'Addition und Subtraktion von rationalen Ausdr\u00fccken 1';
catalog['Adding and subtracting rational expressions 1.5'] = 'Addieren und Subtrahieren rationaler Ausdr\u00fccke 1.5';
catalog['Adding and subtracting rational expressions 2'] = 'Addieren und Subtrahieren rationaler Ausdr\u00fccke 2';
catalog['Adding and subtracting rational expressions 3'] = 'Addieren und Subtrahieren rationaler Ausdr\u00fccke 3';
catalog['Adding and subtracting rational expressions 5'] = 'Addieren und Subtrahieren rationaler Ausdr\u00fccke 5';
catalog['Adding and subtracting rational expressions 6'] = 'Adding and subtracting rational expressions 6';
catalog['Adding and subtracting rational expressions'] = 'Rationale Ausdr\u00fccke addieren und subtrahieren';
catalog['Adding and subtracting rational numbers'] = 'Addition und Subtraktion von rationalen Zahlen';
catalog['Adding and subtracting the same thing from both sides'] = 'Addition und Subtraktion des gleichen Wertes von beiden Seiten';
catalog['Adding and subtracting three fractions'] = 'drei Br\u00fcche addieren und subtrahieren';
catalog['Adding and subtracting two expressions with different denominators, where each is of the form Ax/B or A/Bx.'] = 'Adding and subtracting two expressions with different denominators, where each is of the form Ax/B or A/Bx.';
catalog['Adding and subtracting two expressions with&nbsp;common denominator&nbsp;and each of the form Ax/B or A/Bx.'] = 'Addition und Subtraktion zweier Ausdr\u00fccke mit &nbsp;gemeinsamen Nenner&nbsp; und jeder der Form Ax/B oder A/Bx.';
catalog['Adding and subtracting vectors in rectangular form'] = 'Adding and subtracting vectors in rectangular form';
catalog['Adding and subtracting with unlike denominator word problems'] = 'Addieren und Subtrahieren mit ungleichem Nenner - Textaufgaben';
catalog['Adding complex numbers and Argand Diagrams'] = 'Adding complex numbers and Argand Diagrams';
catalog['Adding complex numbers'] = 'Komplexe Zahlen addieren';
catalog['Adding decimals 0.5'] = 'Dezimalzahlen addieren 0.5';
catalog['Adding decimals 1'] = 'Dezimalzahlen addieren 2';
catalog['Adding decimals 2'] = 'Dezimalzahlen addieren 2';
catalog['Adding decimals example 1'] = 'Dezimalzahlen addieren Beispiel 1';
catalog['Adding decimals example 2'] = 'Dezimalzahlen addieren Beispiel 2';
catalog['Adding decimals example 3'] = 'Dezimalzahlen addieren Beispiel 3';
catalog['Adding decimals of different signs word problem'] = 'Textaufgabe zur Addition von Dezimalzahlen mit verschiedenen Vorzeichen';
catalog['Adding decimals word problem'] = 'Addieren von Dezimalzahlen - Textaufgabe';
catalog['Adding decimals'] = 'Dezimalzahlen addieren';
catalog['Adding demand curves'] = 'Adding demand curves';
catalog['Adding fractions (ex 1)'] = 'Br\u00fcche addieren (Beisp. 1)';
catalog['Adding fractions 1'] = 'Br\u00fcche addieren 1';
catalog['Adding fractions 2'] = 'Br\u00fcche addieren 2';
catalog['Adding fractions decimals and percentages'] = 'Br\u00fcche, Dezimalzahlen und Prozente addieren';
catalog['Adding fractions with 10 and 100 as denominators'] = 'Br\u00fcche mit 10 und 100 als Nenner addieren';
catalog['Adding fractions with common denominators'] = 'Br\u00fcche mit gleichen Nennern addieren';
catalog['Adding fractions with different signs'] = 'Br\u00fcche mit unterschiedlichen Vorzeichen addieren';
catalog['Adding fractions with like denominators'] = 'Br\u00fcche mit gleichem Nenner addieren';
catalog['Adding fractions with unlike denominators word problem'] = 'Addieren von Br\u00fcchen mit ungleichen Nennern - Textaufgabe';
catalog['Adding fractions with unlike denominators'] = 'Br\u00fcche mit ungleichen Nennern addieren';
catalog['Adding integers with different signs'] = 'Ganze Zahlen mit unterschiedlichen Vorzeichen addieren';
catalog['Adding like rational terms'] = 'Addieren von gleichartigen rationalen Termen';
catalog['Adding mixed numbers with like denominators'] = 'Gemischte Zahlen mit \u00e4hnlichen Nennern addieren';
catalog['Adding mixed numbers with unlike denominators'] = 'Gemischte Zahlen mit ungleichen Nennern addieren';
catalog['Adding mixed numbers word problem'] = 'Addieren von gemischten Zahlen - Textaufgabe';
catalog['Adding mixed numbers'] = 'gemischte Br\u00fcche addieren';
catalog['Adding multi-digit numbers'] = 'mehrstellige Zahlen addieren';
catalog['Adding negative numbers'] = 'Addition von negativen Zahlen';
catalog['Adding polynomials'] = 'Polynome addieren';
catalog['Adding positive and negative single-digit numbers'] = 'Addition von positiven und negativen einstelligen Zahlen';
catalog['Adding probabilities'] = 'Adding probabilities';
catalog['Adding subtracting mixed numbers 1 (ex 2)'] = 'Addieren und Subtrahieren von gemischten Zahlen 1 (ex 2)';
catalog['Adding three numbers'] = 'Drei Zahlen addieren';
catalog['Adding up resistance in series and in parallel'] = 'Adding up resistance in series and in parallel';
catalog['Adding up resistance problem'] = 'Adding up resistance problem';
catalog['Adding up to a fraction drag and drop example'] = 'Aufsummieren von Br\u00fcchen -  drag and drop Beispiel';
catalog['Adding vectors exercise example'] = 'Adding vectors exercise example';
catalog['Adding vectors in magnitude and direction form'] = 'Adding vectors in magnitude and direction form';
catalog['Adding with regrouping within 1000'] = 'Addieren mit \u00dcbertrag innerhalb von 1000';
catalog['Adding within 20'] = 'Addieren bis 20';
catalog['Adding/subtracting negative numbers'] = 'negative Zahlen addieren/subtrahieren';
catalog['Addition 4'] = 'Addition 4';
catalog['Addition Elimination Method 1'] = 'Additionseliminationsmethode 1';
catalog['Addition Elimination Method 2'] = 'Additionseliminationsmethode 2';
catalog['Addition Elimination Method 3'] = 'Additionseliminationsmethode 3';
catalog['Addition Elimination Method 4'] = 'Additionseliminationsmethode 4';
catalog['Addition and Subtraction of Polynomials'] = 'Addition und Subtraktion von Polynomen';
catalog['Addition and Subtraction with Significant Figures'] = 'Addition und Subtraktion mit signifikanten Stellen';
catalog['Addition and subtraction of polynomials'] = 'Addition und Subtraktion von Polynomen';
catalog['Addition and subtraction strategies'] = 'Addition and subtraction strategies';
catalog['Addition and subtraction trig identities'] = 'Addition and subtraction trig identities';
catalog['Addition and subtraction with significant figures'] = 'Addition und Subtraktion mit signifikanten Stellen';
catalog['Addition and subtraction within 10'] = 'Addition und Subtraktion bis 10';
catalog['Addition and subtraction within 100'] = 'Addition und Subtraktion bis 100';
catalog['Addition and subtraction within 1000'] = 'Addition und Subtraktion bis 1000';
catalog['Addition and subtraction within 20'] = 'Addition und Subtraktion bis 20';
catalog['Addition and subtraction word problems within 100: Level 1'] = 'Textaufgaben zu Addition und Subtraktion bis 100: Stufe 1';
catalog['Addition and subtraction word problems within 100: Level 2'] = 'Textaufgaben zu Addition und Subtraktion bis 100: Stufe 2';
catalog['Addition and subtraction word problems within 100: Level 3'] = 'Textaufgaben zu Addition und Subtraktion bis 100: Stufe 3';
catalog['Addition and subtraction word problems within 100: Level 4'] = 'Textaufgaben zu Addition und Subtraktion bis 100: Stufe 4';
catalog['Addition and subtraction word problems within 20: Level 1'] = 'Textaufgaben zu Addition und Subtraktion bis 20: Stufe 1';
catalog['Addition and subtraction word problems within 20: Level 2'] = 'Textaufgaben zu Addition und Subtraktion bis 20: Stufe 2';
catalog['Addition and subtraction word problems within 20: Level 3'] = 'Textaufgaben zu Addition und Subtraktion bis 20: Stufe 3';
catalog['Addition and subtraction word problems within 20: Level 4'] = 'Textaufgaben zu Addition und Subtraktion bis 20: Stufe 4';
catalog['Addition and subtraction'] = 'Addition und Subtraktion';
catalog['Addition elimination method 1'] = 'Additionseliminationsmethode 1';
catalog['Addition elimination method 2'] = 'Additionseliminationsmethode 2';
catalog['Addition elimination method 3'] = 'Additionseliminationsmethode 3';
catalog['Addition elimination method 4'] = 'Additionseliminationsmethode 4';
catalog['Addition of carbon nucleophiles to aldehydes and ketones'] = 'Addition of carbon nucleophiles to aldehydes and ketones';
catalog['Addition reaction of conjugated dienes I: Mechanism'] = 'Addition reaction of conjugated dienes I: Mechanism';
catalog['Addition reaction of conjugated dienes II: Example'] = 'Addition reaction of conjugated dienes II: Example';
catalog['Addition reaction of conjugated dienes III: Control'] = 'Addition reaction of conjugated dienes III: Control';
catalog['Addition reactions of conjugated dienes'] = 'Additionsreaktionen von konjugierten Dienen';
catalog['Addition rule for probability'] = 'Additionssatz f\u00fcr Wahrscheinlichkeit';
catalog['Addition was nice.  Multiplication was cooler.  In the mood for a new operation that grows numbers even faster?  Ever felt like expressing repeated multiplication with less writing?  Ever wanted to describe how most things in the universe grow and shrink?  Well, exponents are your answer!\n\nThis tutorial covers everything from basic exponents to negative and fractional ones.  It assumes you remember your multiplication, negative numbers and fractions.'] = 'Addition war sch\u00f6n.  Multiplikation war cooler.  Bereit f\u00fcr eine neue Operation , die Zahlen noch schneller wachsen l\u00e4sst?  Wolltest du Jemals eine wiederholte Multiplikation mit weniger Schreibaufwand zum Ausdruck zu bringen?  Wolltest du schon immer beschreiben, wie die meisten Dinge im Universum wachsen und schrumpfen?  Exponenten sind die Antwort! \n\nDieses Tutorial behandelt alles von einfachen bis zu negativen und gebrochenen Exponenten. Es setzt voraus, dass du dich an die Addition, negative Zahlen und Br\u00fcche erinnerst.';
catalog['Addition with carrying warmup'] = 'Addition with carrying warmup';
catalog['Addition with carrying'] = 'Addition mit \u00dcbertrag';
catalog['Addition within 100'] = 'Addition im 100-er Bereich';
catalog['Addition within 1000'] = 'Addition im 1000er-Bereich';
catalog['Addition within 20'] = 'Addition bis 20';
catalog['Addition within 5'] = 'Addition im 5-er Raum';
catalog['Addition word problems within 10'] = 'Textaufgaben zur Addition bis 10';
catalog['Address'] = 'Adresse';
catalog['Adequacy of the lateral cervical spine X-ray'] = 'Adequacy of the lateral cervical spine X-ray';
catalog['Adjust the angle and radius to plot a complex number in polar form.'] = 'Adjust the angle and radius to plot a complex number in polar form.';
catalog['Adjust the slope and y-intercept of a line to make it go through given points.'] = 'Ver\u00e4ndern Sie die Steigung und den y-Achsenabschnitt der Geraden um sie durch die gegebenen Punkte zu f\u00fchren.\n.';
catalog['Admin'] = 'Admin';
catalog['Administer Facilities'] = 'Einrichtungen verwalten';
catalog['Administration Panel'] = 'Administration Panel';
catalog['Adriaen de Vries, a 17th century Dutch sculptor, often used "direct lost-wax casting." Because the wax is "lost," each bronze cast is unique. If the casting fails, the sculptor begins again. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Adriaen de Vries, a 17th century Dutch sculptor, often used "direct lost-wax casting." Because the wax is "lost," each bronze cast is unique. If the casting fails, the sculptor begins again. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Adriaen de Vries\'s bronze casting technique: direct lost-wax method'] = 'Adriaen de Vries\'s bronze casting technique: direct lost-wax method';
catalog['Advanced JS: Games & Visualizations'] = 'Advanced JS: Games & Visualizations';
catalog['Advanced User Tools'] = 'Advanced User Tools';
catalog['Advanced ratio problems'] = 'Verh\u00e4ltnis Probleme f\u00fcr Fortgeschrittene';
catalog['Advanced ratios and proportions'] = 'Fortgeschrittene Verh\u00e4ltnisse und Anteile';
catalog['Advanced sequences and series'] = 'Fortgeschrittene Folgen und Reihen';
catalog['Advanced structure in expressions'] = 'Struktur in Ausdr\u00fccken f\u00fcr Fortgeschrittene';
catalog['Advanced trig examples'] = 'Advanced trig examples';
catalog['Aegean Art'] = 'Aegean Art';
catalog['After Words: "The One World Schoolhouse: Education Reimagined"'] = 'Am Ende der Worte: "Die Eine-Welt-Schule: Bildung neu gedacht"';
catalog['After this tutorial, you know how to divide any positive number by any other.  Pretty exciting.. eh?!\n\nCommon Core Standards: 6.NS.B.2,  6.NS.B.3'] = 'Nach diesem Tutorium, wirst du wissen, wie man jede beliebige positive Zahl durch eine Andere teilt. Sehr Aufregend ... nicht?!\n\nCommon Core Standards: 6.NS.B.2,  6.NS.B.3';
catalog['Aftermath of World War I'] = 'Nachwirkungen des 1. Weltkriegs';
catalog['Age word problems 1'] = 'Alters-Textaufgaben 1';
catalog['Age word problems 2'] = 'Alters-Textaufgaben 2';
catalog['Age word problems 3'] = 'Alters-Textaufgaben 3';
catalog['Age word problems'] = 'Textaufgaben zum Alter';
catalog['Ages and heights'] = 'Alter und H\u00f6hen';
catalog['Aggregate demand and aggregate supply'] = 'Gesamtnachfrage und gesamtwirtschaftliches Angebot';
catalog['Aggregate demand and aggregate supply. Keynesian thinking. Demand-pull and cost-push inflation.  Fiscal and monetary policy.'] = 'Gesamtnachfrage und gesamtwirtschaftliches Angebot. Keynesianisches Denken. Nachfrage-Schub und Inflation aufgrund eines Kosten-Schocks. Inflation.  Fiskal- und Geldpolitik.';
catalog['Aggregate demand'] = 'Aggregate demand';
catalog['Aging and cognitive abilities'] = 'Aging and cognitive abilities';
catalog['Aging and dying stars generate extremely hot temperatures, hot enough to create entirely new elements.<br>'] = 'Aging and dying stars generate extremely hot temperatures, hot enough to create entirely new elements.<br>';
catalog['Aging and dying stars get hotter than\u2026 well, they get hot. Hot enough to create new, heavier elements. What\'s so special about the heavier elements? Imagine life without metal.'] = 'Aging and dying stars get hotter than\u2026 well, they get hot. Hot enough to create new, heavier elements. What\'s so special about the heavier elements? Imagine life without metal.';
catalog['Agnolo di Cosimo Bronzino, An Allegory with Venus and Cupid, c. 1545, oil on panel, 146.1 x 116.2 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Agnolo di Cosimo Bronzino, An Allegory with Venus and Cupid, c. 1545, oil on panel, 146.1 x 116.2 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Airbus A380 take-off distance'] = 'Airbus A380 take-off distance';
catalog['Airbus A380 take-off time'] = 'Airbus A380 take-off time';
catalog['Akkadian art: Victory Stele of Naram-Sin'] = 'Akkadian art: Victory Stele of Naram-Sin';
catalog['Alberto Giacometti, City Square, 1948 (Museum of Modern Art)'] = 'Alberto Giacometti, City Square, 1948 (Museum of Modern Art)';
catalog['Alberto Giacometti, Palace at 4am, wood, glass, wire and string, 1932 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris \n\nhttp://www.smarthistory.org/surrealism-giacometti.html'] = 'Alberto Giacometti, Palace at 4am, wood, glass, wire and string, 1932 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris \n\nhttp://www.smarthistory.org/surrealism-giacometti.html';
catalog['Albrecht D\u00fcrer, Self-Portrait, 1500 (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris'] = 'Albrecht D\u00fcrer, Self-Portrait, 1500 (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris';
catalog['Albrecht D\u00fcrer, Self-portrait, 1498, oil on panel, 52 x 41 cm \n(Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/durer-self-portrait.html'] = 'Albrecht D\u00fcrer, Self-portrait, 1498, oil on panel, 52 x 41 cm \n(Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/durer-self-portrait.html';
catalog['Albrecht D\u00fcrer, The Four Apostles, 1526, oil on wood, 7\' 1" x 2\' 6" (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris'] = 'Albrecht D\u00fcrer, The Four Apostles, 1526, oil on wood, 7\' 1" x 2\' 6" (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris';
catalog['Albrecht D\u00fcrer, The Large Piece of Turf, 1503, watercolor and gouache on paper, 16-1/8 x 12-5/8 inches / 41 x 32 cm (Graphische Sammlung Albertina, Vienna)'] = 'Albrecht D\u00fcrer, The Large Piece of Turf, 1503, watercolor and gouache on paper, 16-1/8 x 12-5/8 inches / 41 x 32 cm (Graphische Sammlung Albertina, Vienna)';
catalog['Alcohol Properties'] = 'Alcohol Properties';
catalog['Alcohol nomenclature and properties'] = 'Alkohol-Nomenklatur und Eigenschaften';
catalog['Alcohol nomenclature'] = 'Alcohol nomenclature';
catalog['Alcohol properties'] = 'Alcohol properties';
catalog['Alcohols and phenols'] = 'Alkohole und Phenole';
catalog['Alcohols'] = 'Alkohole';
catalog['Alcohols, ethers, epoxides, sulfides'] = 'Alkohole, Ether, Epoxide, Sulfide';
catalog['Aldehyde introduction'] = 'Aldehyde introduction';
catalog['Aldehydes and ketones'] = 'Aldehyde und Ketone';
catalog['Aldol condensation'] = 'Aldol condensation';
catalog['Aldosterone and ADH'] = 'Aldosterone and ADH';
catalog['Aldosterone raises blood pressure and lowers potassium'] = 'Aldosterone raises blood pressure and lowers potassium';
catalog['Aldosterone removes acid from the blood'] = 'Aldosterone removes acid from the blood';
catalog['Alexander Mosaic, c. 100 B.C.E., Roman copy (Pompeii) of a lost Greek painting, c. 315 B.C.E., Hellenistic Period (Archaeological Museum, Naples). Speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Alexander Mosaic, c. 100 B.C.E., Roman copy (Pompeii) of a lost Greek painting, c. 315 B.C.E., Hellenistic Period (Archaeological Museum, Naples). Speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Alexander the Great and the situation... the Great?'] = 'Alexander der Gro\u00dfe und die Lage... des Gro\u00dfen?';
catalog['Alexej von Jawlensky, Young Girl in a Flowered Hat, 1910, oil on cardboard (Albertina, Vienna)'] = 'Alexej von Jawlensky, Young Girl in a Flowered Hat, 1910, oil on cardboard (Albertina, Vienna)';
catalog['Algebra I'] = 'Algebra 1';
catalog['Algebra II Brush Up'] = 'Algebra II Brush Up';
catalog['Algebra II'] = 'Algebra 2';
catalog['Algebra II: Imaginary and complex numbers'] = 'Algebra II: Imagin\u00e4re und komplexe Zahlen';
catalog['Algebra II: Quadratics and shifts'] = 'Algebra II: Quadratische Gleichungen und Verschiebungen';
catalog['Algebra is the language that aliens will use to communicate with us (that or Esperanto).  In this tutorial, we\'ll learn to express and understand this language (Algebra, not Esperanto) a bit better.\n\nCommon Core Standard: 7.EE.A.2'] = 'Algebra ist die Sprache, mit der Au\u00dferirdische eines Tages mit uns kommunizieren werden (Algebra oder Esperanto).  In diesem Tutorial werden wir lernen, diese Sprache ein bisschen besser zu verstehen und zu nutzen (Algebra, nicht Esperanto). \n\n Basisnormen: 7.EE.A.2';
catalog['Algebra isn\'t just some voodoo concocted to keep you from running outside.  It is a way of representing logic and manipulating ideas.  This tutorial will have blood flowing to your brain in record quantities as you actually have to think about what the algebraic expressions and equations actually mean!'] = 'Die Algebra ist nicht einfach irgendein Voodoo-Gebr\u00e4u, dass dich davon abhalten soll draussen Spa\u00df zu haben. Es ist eine M\u00f6glichkeit Logik darzustellen und Ideen zu manipulieren. Dieses Tutorial wird dein Blut in Rekordmengen in dein Gehirn flie\u00dfen lassen, wenn du dar\u00fcber nachdenkst, was algebraische Ausdr\u00fccke und ihre Gleichungen eigentlich bedeuten!';
catalog['Algebra seems mysterious to me.  I really don\'t "get" what an equation represents.  Why do we do the same thing to both sides?\n\nThis tutorial is a conceptual journey through the basics of algebra.  It is made for someone just beginning their algebra adventure.  But even folks who feel pretty good that they know how to manipulate equations might pick up a new intuition or two.'] = 'Ich finde, dass Algebra mysteri\u00f6s ist. Wirklich, ich verstehe nicht, was eine Gleichung darstellen soll. Warum muss man auf beiden Seiten der Gleichung das gleiche machen?\n\nDieses Tutorial ist eine begriffliche Reise durch die Grundlagen der Algebra. Es ist f\u00fcr jene gemacht, die ihr Algebra-Abenteuer gerade erst beginnen. Aber auch "alte Hasen", die sich ziemlich sicher auf dem Gebiet der Gleichungsmanipulation f\u00fchlen, k\u00f6nnen noch den ein oder anderen neuen Gedanken aufgreifen.';
catalog['Algebra word problem involving two bicycles passing each other.'] = 'Algebra-Textaufgabe mit zwei Fahrr\u00e4der, die sich entgegen kommen.';
catalog['Algebra: Equation of a line'] = 'Algebra: Geradengleichung';
catalog['Algebra: Linear equations 1'] = 'Algebra: Lineare Gleichungen I';
catalog['Algebra: Linear equations 2'] = 'Algebra: Lineare Gleichungen 2';
catalog['Algebra: Linear equations 3'] = 'Algebra: Lineare Gleichungen 3';
catalog['Algebra: Linear equations 4'] = 'Algebra: Lineare Gleichungen 4';
catalog['Algebra: Slope and y-intercept intuition'] = 'Algebra: Einsicht in Steigung und y-Achsenabschnitt bekommen';
catalog['Algebraic Word Problem'] = 'Algebraische Textaufgabe';
catalog['Algebraic midpoint of a segment exercise'] = 'Algebraischer Mittelpunkt eines Segments - \u00dcbung';
catalog['Algebraic thinking'] = 'Algebraisches Denken';
catalog['Algebraically determining segment length'] = 'algebraisches Bestimmen von Streckenl\u00e4ngen';
catalog['Algorithm for mentally computing binomial expansion coefficients'] = 'Algorithm for mentally computing binomial expansion coefficients';
catalog['Algorithmic efficiency'] = 'Effizienz eines Algorithmus';
catalog['Alien abduction brain teaser'] = 'Alien abduction brain teaser';
catalog['Alkane and cycloalkane nomenclature i'] = 'Nomenklatur der Alkane und Cycloalkane i';
catalog['Alkane and cycloalkane nomenclature ii'] = 'Alkane and cycloalkane nomenclature ii';
catalog['Alkane and cycloalkane nomenclature iii'] = 'Alkane and cycloalkane nomenclature iii';
catalog['Alkane with isopropyl group'] = 'Alkane with isopropyl group';
catalog['Alkanes and cycloalkanes'] = 'Alkane und Cycloalkane';
catalog['Alkene cleavage using ozone'] = 'Alkene cleavage using ozone';
catalog['Alkene intro and stability'] = 'Alkene intro and stability';
catalog['Alkene nomenclature'] = 'Alken-Nomenklatur';
catalog['Alkene reactions'] = 'Alken-Reaktionen';
catalog['Alkenes and alkynes'] = 'Alkene und Alkine';
catalog['Alkyl halide nomenclature'] = 'Alkyl halide nomenclature';
catalog['Alkyne acidity and alkylation'] = 'Alkyne acidity and alkylation';
catalog['Alkyne nomenclature'] = 'Alkyne nomenclature';
catalog['Alkyne reactions'] = 'Alkin Reaktionen';
catalog['All about Spout'] = 'All about Spout';
catalog['All life on earth shares a common ancestor. After the dinosaurs became extinct, biodiversity flourished.<br>'] = 'All life on earth shares a common ancestor. After the dinosaurs became extinct, biodiversity flourished.<br>';
catalog['All men are created equal'] = 'All men are created equal';
catalog['All of Newton\'s laws of motion'] = 'All of Newton\'s laws of motion';
catalog['All the symbols you write in math are just a language or short-hand to represent real-world ideas.  In this tutorial, we\'ll get experience writing algebraic expressions to elegantly represent real-life ideas.'] = 'Alle Symbole, die du in Mathe aufschreibst, sind lediglich eine Ausdrucksweise oder Abk\u00fcrzung um Ideen aus der echten Welt zu repr\u00e4sentieren. In diesem Tutorial wirst du Erfahrungen darin sammeln, wie du Ideen aus dem wahren Leben m\u00f6glichst elegant in algebraische Ausdr\u00fccke verpacken kannst.';
catalog['All the symbols you write in math are just a language or short-hand to represent real-world ideas. In this tutorial, we\'ll get experience writing algebraic expressions to elegantly represent real-life ideas.\n\nCommon Core Standard: 6.EE.A.2, 6.EE.A.2b'] = 'Alle die Symbole die du in der Mathematik verwendest sind eine eigene Sprache bzw. Abk\u00fcrzungen, die Ideen in der richtigen Welt repr\u00e4sentieren. In diesem Tutorium werden wir \u00fcben wie man algebraische Ausdr\u00fccke verwendet, um Ideen aus dem echten Leben elegant zu umschreiben. \n\nCommon Core Standard: 6.EE.A.2, 6.EE.A.2b';
catalog['All those new elements. What exactly were they and how did they bind to or repel each other? The science of chemistry was born as early scientists studied the properties and structure of chemical elements and compounds.'] = 'All those new elements. What exactly were they and how did they bind to or repel each other? The science of chemistry was born as early scientists studied the properties and structure of chemical elements and compounds.';
catalog['All'] = 'All';
catalog['Allende and Pinochet in Chile'] = 'Allende und Pinochet in Chile';
catalog['Alliances leading to World War I'] = 'Alliances leading to World War I';
catalog['Allocative efficiency and marginal benefit'] = 'Allocative efficiency and marginal benefit';
catalog['Allosteric regulation and feedback loops'] = 'Allosteric regulation and feedback loops';
catalog['Allston, Elijah in the Desert'] = 'Allston, Elijah in the Desert';
catalog['Alma-Tadema, Listening to Homer'] = 'Alma-Tadema, Listening to Homer';
catalog['Alpha amino acid synthesis'] = 'Alpha amino acid synthesis';
catalog['Alpha, Beta, Gamma Decay and Positron Emission'] = 'Alpha-, Beta- und Gammazerfall und Positronenemission';
catalog['Alpha-carbon chemistry'] = 'Alpha-carbon chemistry';
catalog['Alpha-substitution of carboxylic acids'] = 'Alpha-substitution of carboxylic acids';
catalog['Altdorfer, the Battle of Issus'] = 'Altdorfer, the Battle of Issus';
catalog['Alternate basis transformation matrix example part 2'] = 'Alternate basis transformation matrix example part 2';
catalog['Alternate basis transformation matrix example'] = 'Alternate basis transformation matrix example';
catalog['Alternate coordinate systems (bases)'] = 'Alternative Koordinatensysteme (Grundlagen)';
catalog['Alternate formula for sum of n squares'] = 'Alternate formula for sum of n squares';
catalog['Alternate mental subtraction method'] = 'Alternative Subtraktionsmethode';
catalog['Alternate plans and moral hazard.'] = 'Alternate plans and moral hazard.';
catalog['Alternate proof to induction for integer sum'] = 'Alternate proof to induction for integer sum';
catalog['Alternate solution to ratio problem'] = 'Alternative L\u00f6sung f\u00fcr Verh\u00e4ltnis-Problem';
catalog['Alternative minimum tax'] = 'Alternative minimum tax';
catalog['Alternative selection'] = 'Alternative selection';
catalog['Although mom controls the oxygen source, the fetus has a couple of clever tricks to get the most oxygen possible!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Obwohl die Mutter die Sauerstoffquelle kontrolliert, hat der Fetus eine Reihe von klugen Tricks auf Lager, um m\u00f6glichst viel Sauerstoff zu bekommen!  Rishi ist ein Kinderarzt, der auf Infektionskrankheiten spezialisiert ist und arbeitet f\u00fcr die Khanacademy.';
catalog['Altitudes'] = 'H\u00f6hen';
catalog['Alveolar gas equation - part 1'] = 'Alveolar gas equation - part 1';
catalog['Alveolar gas equation - part 2'] = 'Alveolar gas equation - part 2';
catalog['Alzheimer\'s disease and Korsakoff\'s syndrome'] = 'Alzheimer\'s disease and Korsakoff\'s syndrome';
catalog['Ambrogio Lorenzetti,  Presentation of Jesus in the Temple, 1342, tempera on panel, 257 x 168 cm (Galleria degli Uffizi, Florence)'] = 'Ambrogio Lorenzetti,  Presentation of Jesus in the Temple, 1342, tempera on panel, 257 x 168 cm (Galleria degli Uffizi, Florence)';
catalog['Ambrogio Lorenzetti, Allegory of Good Government, Effects of Good Government in the City and the Country, and Allegory and Effects of Bad Government in the City and the Country, Siena c. 1337-40, fresco, Sala della Pace (Hall of Peace) also know as the Sala dei Nove (the Hall of the Nine), 7.7 x 14.4 meters (room), Palazzo Pubblico, Siena\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more information visit: http://smarthistory.khanacademy.org/the-allegories-and-effects-of-good-and-bad-government.html'] = 'Ambrogio Lorenzetti, Allegory of Good Government, Effects of Good Government in the City and the Country, and Allegory and Effects of Bad Government in the City and the Country, Siena c. 1337-40, fresco, Sala della Pace (Hall of Peace) also know as the Sala dei Nove (the Hall of the Nine), 7.7 x 14.4 meters (room), Palazzo Pubblico, Siena\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more information visit: http://smarthistory.khanacademy.org/the-allegories-and-effects-of-good-and-bad-government.html';
catalog['Ambrogio Lorenzetti, Palazzo Pubblico frescos: Allegory and effect of good and bad government'] = 'Ambrogio Lorenzetti, Palazzo Pubblico frescos: Allegory and effect of good and bad government';
catalog['Ambulatory, Basilica of Saint Denis, Paris, 1140-44.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Ambulatory, Basilica of Saint Denis, Paris, 1140-44.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Amedeo Modigliani, Young Woman in a Shirt, 1918, oil on canvas (Albertina, Vienna)'] = 'Amedeo Modigliani, Young Woman in a Shirt, 1918, oil on canvas (Albertina, Vienna)';
catalog['American Call Options'] = 'Amerikanische Call-Optionen';
catalog['American Modernism'] = 'American Modernism';
catalog['American Museum of Natural History'] = 'American Museum of Natural History';
catalog['American Put Options'] = 'Amerikanische Put-Optionen';
catalog['American call options'] = 'American call options';
catalog['American civics'] = 'Amerikanische Staatsb\u00fcrgerkunde';
catalog['American entry into the Great War (World War I)'] = 'Amerikanischer Kriegseintritt in den 1. Weltkrieg';
catalog['American modernism'] = 'American modernism';
catalog['American put options'] = 'American put options';
catalog['American-Chinese debt loop'] = 'American-Chinese debt loop';
catalog['American-Modernism'] = 'American-Modernism';
catalog['Amine Naming 2'] = 'Amine Naming 2';
catalog['Amine Naming Introduction'] = 'Amine Naming Introduction';
catalog['Amine naming 2'] = 'Amine naming 2';
catalog['Amine naming introduction'] = 'Amine naming introduction';
catalog['Amines'] = 'Amine';
catalog['Amino acid structure'] = 'Amino acid structure';
catalog['Amino acids and proteins - Passage 1'] = 'Amino acids and proteins - Passage 1';
catalog['Amino acids and proteins - Passage 2'] = 'Amino acids and proteins - Passage 2';
catalog['Amino acids and proteins'] = 'Aminos\u00e4uren und Proteine';
catalog['Amino acids can be classified according to their side chain&#39;s chemical properties (the R-group). This video will show you how! By Tracy Kovach.'] = 'Amino acids can be classified according to their side chain&#39;s chemical properties (the R-group). This video will show you how! By Tracy Kovach.';
catalog['Among living things, there are strong similarities and remarkable differences, many explained by the amount of shared DNA. But what does that really mean? What is life?'] = 'Among living things, there are strong similarities and remarkable differences, many explained by the amount of shared DNA. But what does that really mean? What is life?';
catalog['Amortization and depreciation'] = 'Amortization and depreciation';
catalog['Amortization'] = 'Amortization';
catalog['Amplitude, period, frequency and wavelength of periodic waves'] = 'Amplitude, period, frequency and wavelength of periodic waves';
catalog['An IPO'] = 'B\u00f6rsengang (auch Initial Public Offering IPO)';
catalog['An Introduction to the Protestant Reformation: Martin Luther (2 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris'] = 'An Introduction to the Protestant Reformation: Martin Luther (2 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris';
catalog['An Introduction to the Protestant Reformation: Varieties of Protestantism (3 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris'] = 'An Introduction to the Protestant Reformation: Varieties of Protestantism (3 of 4)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris';
catalog['An Organization is a group of people responsible for administering a set of Sharing Networks.'] = 'An Organization is a group of people responsible for administering a set of Sharing Networks.';
catalog['An account with this email address has already been created.  Please login at the link above.'] = 'An account with this email address has already been created.  Please login at the link above.';
catalog['An activation link has been sent to the email address you supplied, along with instructions for activating your account.'] = 'An activation link has been sent to the email address you supplied, along with instructions for activating your account.';
catalog['An alternate solution to the advanced ratio problem in the last video.'] = 'Eine alternative L\u00f6sung f\u00fcr das Verh\u00e4ltnis-Problem f\u00fcr Fortgeschrittene im letzten Video.';
catalog['An alternate to traditional long division'] = 'Eine Alternative zur traditionellen schriftlichen Division';
catalog['An alternative to Cartesian coordinates.'] = 'Eine Alternative zu kartesischen Kordinaten.';
catalog['An analogy for Gibbs free energy'] = 'An analogy for Gibbs free energy';
catalog['An assortment of concepts in math that help us deal with sequences and proofs.'] = 'Einige Konzepte der Mathematik, die uns helfen Folgen und Beweise zu verstehen.';
catalog['An earlier tutorial used Green\'s theorem to prove the divergence theorem in 2-D, this tutorial gives us the 3-D version (what most people are talking about when they refer to the "divergence theorem").  We will get an intuition for it (that the flux through a close surface--like a balloon--should be equal to the divergence across it\'s volume).  We will use it in examples.  We will prove it in another tutorial.'] = 'Ein fr\u00fcheres Tutorial benutzte das Green\'sche Theorem, um das Divergenz-Theorem im 2-dimensionalen zu beweisen, dieses Tutorial gibt uns die 3-D Version (wovon die meisten Leute reden, wenn sie \u00fcber "das Divergenz-Theorem" sprechen). Wir werden eine Intuition daf\u00fcr bekommen (dass der Fluss durch eine geschlossene Oberfl\u00e4che--wie ein Ballon-- gleich zur Divergenz \u00fcber sein Volumen sein sollte). Wir werden es in Beispielen benutzen. Wir werden es in einem anderen Tutorial beweisen.';
catalog['An elegant visual proof of the Pythagorean Theorem developed by the 12th century Indian mathematician Bhaskara.'] = 'Ein eleganter grafischer Beweis des Satzes des Pythagoras, entwickelt vom Indischen Mathematiker Bhaskara im 12 Jahrhundert.';
catalog['An example of a functions problem submitted by a youtube viewer'] = 'Ein Beispiel f\u00fcr ein Funktionen-Problem, zugesandt von einem Zuschauer auf YouTube';
catalog['An example of conservation of momentum in two dimensions.'] = 'An example of conservation of momentum in two dimensions.';
catalog['An example of solving for the final velocity when you know the change in distance, time, initial velocity, and acceleration'] = 'An example of solving for the final velocity when you know the change in distance, time, initial velocity, and acceleration';
catalog['An example using the least squares solution to an unsolvable system'] = 'An example using the least squares solution to an unsolvable system';
catalog['An example where we use initial conditions to solve a repeated-roots differential equation.'] = 'An example where we use initial conditions to solve a repeated-roots differential equation.';
catalog['An exciting look at how to use logarithmic functions, their properties, and graphs. Logarithms are used everywhere, from measuring sound to earthquakes.'] = 'An exciting look at how to use logarithmic functions, their properties, and graphs. Logarithms are used everywhere, from measuring sound to earthquakes.';
catalog['An explanation of cryptographic proof-of-work protocols, which are used in various cryptographic applications and in bitcoin mining.'] = 'An explanation of cryptographic proof-of-work protocols, which are used in various cryptographic applications and in bitcoin mining.';
catalog['An illuminated manuscript is a book written and decorated completely by hand. They&nbsp;were among the most precious objects produced in Medieval and the Early Renaissance monasteries and courts. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'An illuminated manuscript is a book written and decorated completely by hand. They&nbsp;were among the most precious objects produced in Medieval and the Early Renaissance monasteries and courts. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['An introduction to DNA'] = 'Eine Einf\u00fchrung zur DNA';
catalog['An introduction to Filippo Brunelleschi\'s experiment regarding linear perspective, c. 1420, in front of the Baptistry in Florence\n\nhttp://smarthistory.khanacademy.org/Brunelleschi.html'] = 'An introduction to Filippo Brunelleschi\'s experiment regarding linear perspective, c. 1420, in front of the Baptistry in Florence\n\nhttp://smarthistory.khanacademy.org/Brunelleschi.html';
catalog['An introduction to Korean Confucianism and related architecture.&nbsp;Learn more about <a href="http://education.asianart.org/explore-resources/video/grand-style-celebrating-korea">Korean art and culture</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'An introduction to Korean Confucianism and related architecture.&nbsp;Learn more about <a href="http://education.asianart.org/explore-resources/video/grand-style-celebrating-korea">Korean art and culture</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['An introduction to Zen, a form of Buddhism that emphasizes seeking one&#39;s own Buddha nature through meditation.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/introduction-buddhism-japan">Learn more about Buddhism in Japan&nbsp;</a>in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'An introduction to Zen, a form of Buddhism that emphasizes seeking one&#39;s own Buddha nature through meditation.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/introduction-buddhism-japan">Learn more about Buddhism in Japan&nbsp;</a>in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['An introduction to enzyme kinetics'] = 'An introduction to enzyme kinetics';
catalog['An introduction to functions.'] = 'Einf\u00fchrung in Funktionen';
catalog['An introduction to geometric sequences'] = 'Eine Einf\u00fchrung in geometrische Folgen';
catalog['An introduction to magnetism'] = 'Eine Einf\u00fchrung in Magnetismus';
catalog['An introduction to one of the most amazing ideas/numbers in mathematics'] = 'Eine Einf\u00fchrung in eine der genialsten Ideen/Nummern der Mathematik';
catalog['An introduction to orbitals'] = 'Eine Einf\u00fchrung in Orbitale';
catalog['An introduction to probability'] = 'Eine Einf\u00fchrung in die Wahrscheinlichkeitsrechnung';
catalog['An introduction to tension.  Solving for the tension(s) in a set of wires when a weight is hanging from them.'] = 'An introduction to tension.  Solving for the tension(s) in a set of wires when a weight is hanging from them.';
catalog['An introduction to the art and architecture of the Hindu temples of India.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/hindu-temples">Learn more about Hindu temples</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'An introduction to the art and architecture of the Hindu temples of India.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/hindu-temples">Learn more about Hindu temples</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['An introduction to the mechanics of bitcoins and an overview of how transactions take place.'] = 'Eine Einf\u00fchrung in den Bitcoins-Mechanismus und ein \u00dcberblick dar\u00fcber wie Transaktionen stattfinden.';
catalog['An introduction to torque'] = 'Eine Einf\u00fchrung in das Drehmoment';
catalog['An introduction to what cancer is and how it is the by-product of broken DNA replication'] = 'Was ist Krebs und warum ist es das Nebenprodukt einer besch\u00e4digten DNA w\u00e4hrend der Replikation?';
catalog['An look at exponential and logarithmic functions including many of their properties and graphs.'] = 'Eine \u00dcberblick der exponential- und Logarithmusfunktionen einschlie\u00dflich viele ihrer Eigenschaften und deren Graphen.';
catalog['An origin story is a culture\u2019s reflections about the beginning of the Universe, the Earth, and life, stitched together into a narrative.'] = 'An origin story is a culture\u2019s reflections about the beginning of the Universe, the Earth, and life, stitched together into a narrative.';
catalog['An overview of Europe in the middle ages.'] = 'Ein \u00dcberblick \u00fcber Europa im Mittelalter.';
catalog['An overview of blended learning'] = 'An overview of blended learning';
catalog['An overview of early development of a zygote to an embryo.  Embryonic and somatic stem cells.'] = 'Eine \u00dcbersicht zur fr\u00fchzeitigen Entwicklung einer Zygote in ein Embryo. Embryonale und somatische Stammzellen.';
catalog['An overview of functionalism, conflict theory, social constructionism, and symbolic interactionism to help you keep them all straight.&nbsp; By Sydney Brown.'] = 'An overview of functionalism, conflict theory, social constructionism, and symbolic interactionism to help you keep them all straight.&nbsp; By Sydney Brown.';
catalog['An overview of the Khan Academy today and what I see as its potential social impact'] = 'Ein \u00dcberblick \u00fcber die Khan Akademie heute und ihren m\u00f6glichen Einfluss auf die Gesellschaft';
catalog['An overview of the different ways to use Khan Academy'] = 'Eine \u00dcbersicht der verschiedenen M\u00f6glichkeiten zum Einsatz der Khan Academy';
catalog['An overview of the teacher experience'] = 'An overview of the teacher experience';
catalog['An overview of this transitional period in Europe.'] = 'An overview of this transitional period in Europe.';
catalog['An overview, definition and introduction to several different models of blended learning'] = 'An overview, definition and introduction to several different models of blended learning';
catalog['Analysis of Variance 1 - Calculating SST (Total Sum of Squares)'] = 'Varianzanalyse 1 - Berechnung SST (Gesamtsumme der Abweichungsquadrate)';
catalog['Analysis of Variance 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi'] = 'Varianzanalyse 2 - Berechnung SSW und SSB (Gesamtsumme der Abweichungsquadrate innerhalb und zwischen) .avi';
catalog['Analysis of Variance 3 -Hypothesis Test with F-Statistic'] = 'Varianzanalyse 3 - Hypothesen testen mit F-Test';
catalog['Analysis of the federal reserve balance sheet as of Feb 2007.'] = 'Analysis of the federal reserve balance sheet as of Feb 2007.';
catalog['Analysis of variance'] = 'Varianzanalyse';
catalog['Analytic geometry'] = 'Analytische Geometrie';
catalog['Analyzing a vector field using its divergence.'] = 'Ein Vektorfeld mit seiner Divergenz analysieren.';
catalog['Analyzing and identifying proportional relationships ex1'] = 'Analysieren und Identifizieren proportionaler Beziehungen ex1';
catalog['Analyzing and identifying proportional relationships ex2'] = 'Analysieren und Identifizieren proportionaler Beziehungen ex2';
catalog['Analyzing and identifying proportional relationships ex3'] = 'Analysieren und Identifizieren proportionaler Beziehungen ex3';
catalog['Analyzing and identifying proportional relationships'] = 'Identifizieren und Analysieren von proportionalen Zusammenh\u00e4ngen';
catalog['Analyzing dependent probability'] = 'Analyzing dependent probability';
catalog['Analyzing event probability for independence'] = 'Analyzing event probability for independence';
catalog['Analyzing functions'] = 'Funktionen analysieren';
catalog['Analyzing linear functions'] = 'Lineare Funktionen analysieren';
catalog['Analyzing particle movement based on graphs'] = 'Analyzing particle movement based on graphs';
catalog['Analyzing planned expenditures versus actual output using the Keynesian Cross'] = 'Analyzing planned expenditures versus actual output using the Keynesian Cross';
catalog['Analyzing residuals'] = 'Analyzing residuals';
catalog['Analyzing trends in categorical data'] = 'Analyzing trends in categorical data';
catalog['Analyzing unemployment data to show that "real" unemployment is worse than the headline numbers show.'] = 'Analyzing unemployment data to show that "real" unemployment is worse than the headline numbers show.';
catalog['Anatomy of a muscle cell'] = 'Anatomie der Muskelzelle';
catalog['Anatomy of a neuron'] = 'Anatomie eines Neurons';
catalog['Anatomy of a skeletal muscle fiber'] = 'Anatomy of a skeletal muscle fiber';
catalog['Anavysos Kouros, c. 530 B.C.E., marble, 6&#39; 4&quot; (National Archaeological Museum, Athens)<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris'] = 'Anavysos Kouros, c. 530 B.C.E., marble, 6&#39; 4&quot; (National Archaeological Museum, Athens)<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris';
catalog['Ancient  Greek and Roman art'] = 'Ancient  Greek and Roman art';
catalog['Ancient Aegean'] = 'Ancient Aegean';
catalog['Ancient Egypt '] = 'Ancient Egypt ';
catalog['Ancient Egypt'] = 'Das antike \u00c4gypten';
catalog['Ancient Egyptian mummification preserved the body for the afterlife by removing internal organs and moisture and by wrapped the body with linen. This animation uses the Getty\'s mummy Herakleides. <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Love art? Follow us on Google+</a><br>'] = 'Ancient Egyptian mummification preserved the body for the afterlife by removing internal organs and moisture and by wrapped the body with linen. This animation uses the Getty\'s mummy Herakleides. <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Love art? Follow us on Google+</a><br>';
catalog['Ancient Etruria'] = 'Ancient Etruria';
catalog['Ancient Greece'] = 'Ancient Greece';
catalog['Ancient Greek Temples at Paestum: Hera I, c. 560-530 B.C.E., Archaic Period; Hera II, c. 460 B.C.E., Classical Period; Temple of Minerva, c. 500 B.C.E. Archaic Period. A conversation with Dr. Beth Harris and Dr. Steven Zucker'] = 'Ancient Greek Temples at Paestum: Hera I, c. 560-530 B.C.E., Archaic Period; Hera II, c. 460 B.C.E., Classical Period; Temple of Minerva, c. 500 B.C.E. Archaic Period. A conversation with Dr. Beth Harris and Dr. Steven Zucker';
catalog['Ancient Mediterranean 3500 B.C.E.-300 C.E.'] = 'Ancient Mediterranean 3500 B.C.E.-300 C.E.';
catalog['Ancient Mesopotamia'] = 'Das antike Mesopotamien';
catalog['Ancient Near East'] = 'Ancient Near East';
catalog['Ancient Near Eastern and ancient Egyptian art'] = 'Ancient Near Eastern and ancient Egyptian art';
catalog['Ancient Near Eastern art'] = 'Ancient Near Eastern art';
catalog['Ancient Roman cameo glass layers different colors of glass. The top layer is partly cut away to create a design of contrasting color (footage from the Corning Museum of Glass). Love art? <a href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Ancient Roman cameo glass layers different colors of glass. The top layer is partly cut away to create a design of contrasting color (footage from the Corning Museum of Glass). Love art? <a href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Ancient Rome'] = 'Antikes Rom';
catalog['Ancient and Medieval History'] = 'Alte und mittelalterliche Geschichte';
catalog['Ancient and Medieval'] = 'Ancient and Medieval';
catalog['Ancient cryptography'] = 'Antike Kryptographie';
catalog['Ancient glass makers near Jerusalem discovered they could inflate hot glass to make vessels quickly and more cheaply. Watch this ancient technique (footage from the Corning Museum of Glass). Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Ancient glass makers near Jerusalem discovered they could inflate hot glass to make vessels quickly and more cheaply. Watch this ancient technique (footage from the Corning Museum of Glass). Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Ancient history: The alphabet'] = 'Alte Geschichte: Das Alphabet';
catalog['Ancient information theory'] = 'Antike Informationstheorie';
catalog['Ancient mediterranean 3500 B.C.E.-300 C.E. '] = 'Ancient mediterranean 3500 B.C.E.-300 C.E. ';
catalog['Ancient observations'] = 'Antike Beobachtungen';
catalog['Ancient temples of Nara Japan'] = 'Ancient temples of Nara Japan';
catalog['Ancient'] = 'Ancient';
catalog['And another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form'] = 'And another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form';
catalog['Andrea Mantegna, Camera degli Sposi (Frescos in the ducal palace, Mantua), 1465-74  Speakers: Beth Harris and David Drogin'] = 'Andrea Mantegna, Camera degli Sposi (Frescos in the ducal palace, Mantua), 1465-74  Speakers: Beth Harris and David Drogin';
catalog['Andrea Mantegna, Dead Christ, tempera on canvas, c. 1480 - 1500 (Pinacoteca di Brera, Milan)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris\n\nhttp://www.smarthistory.org/mantegna-dead-christ.html'] = 'Andrea Mantegna, Dead Christ, tempera on canvas, c. 1480 - 1500 (Pinacoteca di Brera, Milan)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris\n\nhttp://www.smarthistory.org/mantegna-dead-christ.html';
catalog['Andrea Mantegna, Dormition (or Death) of the Virgin, c. 1462, tempera on panel, 54 \u00d7 42 cm, 21.26 \u00d7 16.54 in (Museo del Prado, Madrid)Speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Andrea Mantegna, Dormition (or Death) of the Virgin, c. 1462, tempera on panel, 54 \u00d7 42 cm, 21.26 \u00d7 16.54 in (Museo del Prado, Madrid)Speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Andrea Mantegna, Saint Sebastian, oil on wood panel, ca. 1456-59 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nFor more art history videos, visit Smarthistory.org'] = 'Andrea Mantegna, St. Sebastian, \u00d6l auf Holz (Tafelbild), ca. 1456-59 (Kunsthistorisches Museum, Wien)\n\nDialog: Dr. Beth Harris, Dr. Steven Zucker\n\nF\u00fcr mehr Kunstgeschichte-Videos, gehe auf Smarthistory.org';
catalog['Andrea Mantegna, San Zeno Altarpiece, 1456-59'] = 'Andrea Mantegna, San Zeno Altarpiece, 1456-59';
catalog['Andrea Pisano, Reliefs for the Campanile in Florence, c. 1336\n\n\nSpeakers: David Drogin and Beth Harris'] = 'Andrea Pisano, Reliefs for the Campanile in Florence, c. 1336\n\n\nSpeakers: David Drogin and Beth Harris';
catalog['Andrea Pisano\'s reliefs on the Campanile in Florence'] = 'Andrea Pisano\'s reliefs on the Campanile in Florence';
catalog['Andrea Pozzo, Saint Ignatius Chapel in the left transept of the church, Il Ges\u00f9, Rome (commissioned in 1695).  \n\nMany artists contributed including Alessandro Algardi, Pierre Legros, Bernardino Ludovisi, Il Lorenzone and Jean-Baptiste Th\u00e9odon. \nMaterials include bronze, gold, silver, and many semiprecious stones most notably lapis lazuli. \n\nhttp://smarthistory.org/andrea-pozzos-saint-ignatius-chapel-in-church-il-gesu.html\nSpeakers: Frank Dabell, Dr. Beth Harris and Dr. Steven Zucker'] = 'Andrea Pozzo, Saint Ignatius Chapel in the left transept of the church, Il Ges\u00f9, Rome (commissioned in 1695).  \n\nMany artists contributed including Alessandro Algardi, Pierre Legros, Bernardino Ludovisi, Il Lorenzone and Jean-Baptiste Th\u00e9odon. \nMaterials include bronze, gold, silver, and many semiprecious stones most notably lapis lazuli. \n\nhttp://smarthistory.org/andrea-pozzos-saint-ignatius-chapel-in-church-il-gesu.html\nSpeakers: Frank Dabell, Dr. Beth Harris and Dr. Steven Zucker';
catalog['Andy Warhol, Campbell\'s Soup Cans, 1962 (The Museum of Modern Art)\n\nSpeakers: Sal Khan & Steven Zucker'] = 'Andy Warhol, Campbell\'s Soup Cans, 1962 (The Museum of Modern Art)\n\nDialog: Sal Khan & Steven Zucker';
catalog['Andy Warhol, Gold Marilyn Monroe, Silkscreen ink, Silkscreen ink on synthetic polymer paint on canvas, 71.25 x 57 in. (211.4 x 144.7 cm), 1962 (MoMA)'] = 'Andy Warhol, Gold Marilyn Monroe, Silkscreen ink, Silkscreen ink on synthetic polymer paint on canvas, 71.25 x 57 in. (211.4 x 144.7 cm), 1962 (MoMA)';
catalog['Angela Ahrendts - CEO of Burberry'] = 'Angela Ahrendts - CEO of Burberry';
catalog['Angiotensin 2 raises blood pressure'] = 'Angiotensin 2 raises blood pressure';
catalog['Angkor Temple Mountains&nbsp;<br />\nThis video explores the ancient kingdom of Angkor , which was one of the most powerful states in Southeast Asia from the 800s to the 1300s. A succession of kings built huge temples that remain in Cambodia today as some of the world&#39;s greatest religious monuments.&nbsp;<a href="http://education.asianart.org/explore-resources/artwork/hindu-deities-shiva-and-parvati-1000-1100">Learn more about artworks from Southeast Asia</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'Angkor Temple Mountains&nbsp;<br />\nThis video explores the ancient kingdom of Angkor , which was one of the most powerful states in Southeast Asia from the 800s to the 1300s. A succession of kings built huge temples that remain in Cambodia today as some of the world&#39;s greatest religious monuments.&nbsp;<a href="http://education.asianart.org/explore-resources/artwork/hindu-deities-shiva-and-parvati-1000-1100">Learn more about artworks from Southeast Asia</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['Angkor temple mountains'] = 'Angkor temple mountains';
catalog['Angle addition formula proofs'] = 'Angle addition formula proofs';
catalog['Angle addition formula with cosine'] = 'Angle addition formula with cosine';
catalog['Angle addition formulas'] = 'Angle addition formulas';
catalog['Angle addition postulate'] = 'Winkel Additions Axiom';
catalog['Angle basics and measurement'] = 'Grundlagen zu Winkeln und deren Messung';
catalog['Angle basics'] = 'Grundlagen \u00fcber Winkel';
catalog['Angle bisector theorem examples'] = 'Angle bisector theorem examples';
catalog['Angle bisector theorem proof'] = 'Angle bisector theorem proof';
catalog['Angle bisector theorem'] = 'Theorem zur Winkelhalbierenden';
catalog['Angle bisectors'] = 'Winkelhalbierende';
catalog['Angle game (part 2)'] = 'Winkel-Spiel (Teil 2)';
catalog['Angle measurement and circle arcs'] = 'Winkelmessung und Kreisb\u00f6gen';
catalog['Angle of sun with the ground based on shadow'] = 'Winkel der Sonne mit der Erde, auf der Grundlage von Schatten';
catalog['Angle sense examples'] = 'Beispiele f\u00fcr Winkelarten';
catalog['Angle to aim to get alien'] = 'Angle to aim to get alien';
catalog['Angle types'] = 'Winkelarten';
catalog['Angle-a-trons'] = 'Angle-a-trons';
catalog['Angles (part 2)'] = 'Winkel (Teil 2)';
catalog['Angles (part 3)'] = 'Winkel (Teil 3)';
catalog['Angles 1'] = 'Winkel 1';
catalog['Angles 2'] = 'Winkel 2';
catalog['Angles and circumference'] = 'Winkel und Umfang';
catalog['Angles and intersecting lines'] = 'Winkel und sich schneidende Geraden';
catalog['Angles between intersecting and parallel lines'] = 'Winkel zwischen sich schneidenden und parallelen Geraden';
catalog['Angles between intersecting lines'] = 'Winkel zwischen \u00fcberlappenden Linien';
catalog['Angles formed between transversals and parallel lines'] = 'Angles formed between transversals and parallel lines';
catalog['Angles formed by parallel lines and transversals'] = 'Winkel zwischen parallelen und schr\u00e4gen Linien';
catalog['Angles formed when a transversal intersects parallel lines.'] = 'Angles formed when a transversal intersects parallel lines.';
catalog['Angles of a polygon'] = 'Winkel eines Polygons';
catalog['Angles of parallel lines 2'] = 'Winkel von parallelen Geraden 2';
catalog['Angles of parallel lines examples'] = 'Beispiele Winkel paralleler Geraden';
catalog['Angles of parallel lines'] = 'Winkel von parallelen Geraden';
catalog['Angles with triangles and polygons'] = 'Winkel in Dreiecken und Vielecken';
catalog['Angles'] = 'Winkel';
catalog['Angular momentum is constant when there is no net torque.'] = 'Angular momentum is constant when there is no net torque.';
catalog['Animal behavior'] = 'Tierverhalten';
catalog['Animal development: We\'re just tubes'] = 'Tierische Entwicklung: Wir sind nur Rohre';
catalog['Animation basics'] = 'Grundlagen: Animation';
catalog['Anne McNeil introduces the central science and discusses how the study of matter has changed over time.<br>'] = 'Anne McNeil introduces the central science and discusses how the study of matter has changed over time.<br>';
catalog['Anne-Louis Girodet de Roussy-Trioson, The Sleep of Endymion, 1791, oil on canvas, 1.98 x 2.61m (6 feet 5-\u00be inches x 8 feet 6-\u00be inches), exhibited in the salons of 1793 and 1814 (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker'] = 'Anne-Louis Girodet de Roussy-Trioson, The Sleep of Endymion, 1791, oil on canvas, 1.98 x 2.61m (6 feet 5-\u00be inches x 8 feet 6-\u00be inches), exhibited in the salons of 1793 and 1814 (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker';
catalog['Annibale Carracci, Ceiling of the Palazzo Farnese, fresco, Rome, 1597-1608'] = 'Annibale Carracci, Ceiling of the Palazzo Farnese, fresco, Rome, 1597-1608';
catalog['Annibale Carracci, Crucifixion, 1583 (Santa Maria della Carita, Bologna) and\nLamentation, 1606 (National Gallery, London)'] = 'Annibale Carracci, Crucifixion, 1583 (Santa Maria della Carita, Bologna) and\nLamentation, 1606 (National Gallery, London)';
catalog['Annual Interest Varying with Debt Maturity'] = 'Annual Interest Varying with Debt Maturity';
catalog['Annual interest varying with debt maturity'] = 'Annual interest varying with debt maturity';
catalog['Annual percentage rate (APR) and effective APR'] = 'Annual percentage rate (APR) and effective APR';
catalog['Another Pythagorean theorem proof'] = 'Ein anderer Beweis f\u00fcr den Satz des Pythagoras';
catalog['Another Rational Function Graph Example'] = 'Ein weiteres Beispiel f\u00fcr Graph einer rationalen Funktion';
catalog['Another Stoichiometry Example in a Solution'] = 'Another Stoichiometry Example in a Solution';
catalog['Another Take on the Rate Problem'] = 'Eine weitere Aufgabe zu Zuwachsraten';
catalog['Another congruence by transformation example'] = 'Another congruence by transformation example';
catalog['Another derivation of the sum of an infinite geometric series'] = 'Eine andere Ableitung der Summe einer unendlichen geometrischen Reihe';
catalog['Another dividing fractions example'] = 'Ein weiteres Beispiel f\u00fcr Division von Br\u00fcchen';
catalog['Another example applying Green\'s Theorem'] = 'Another example applying Green\'s Theorem';
catalog['Another example converting fraction to decimal'] = 'Ein weiteres Beispiel f\u00fcr die Umwandlung von Br\u00fcchen in Dezimalzahlen';
catalog['Another example finding angles in triangles'] = 'Ein anderes Beispiel, Winkel in Dreiecken zu finden';
catalog['Another example graphing with derivatives'] = 'Another example graphing with derivatives';
catalog['Another example of a projection matrix'] = 'Another example of a projection matrix';
catalog['Another example of applying the basic synthetic division algorithm'] = 'Ein weiteres Beispiel f\u00fcr die Anwendung des grundlegenden Algorithmus f\u00fcr synthetische Division';
catalog['Another example of doing long division using the partial quotient method'] = 'Ein weiteres Beispiel f\u00fcr eine schriftliche Division mit der partiellen Quotienten-Methode';
catalog['Another example of finding an anti-derivative using trigonometric substitution'] = 'Another example of finding an anti-derivative using trigonometric substitution';
catalog['Another example of rigid transformations for congruence'] = 'Another example of rigid transformations for congruence';
catalog['Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form'] = 'Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form';
catalog['Another example of using U-subsitution'] = 'Ein weiteres Beispiel f\u00fcr die Verwendung von u-Substitution';
catalog['Another example of using congruency to figure out a bunch of angles'] = 'Another example of using congruency to figure out a bunch of angles';
catalog['Another example of using substitution to solve a first order homogeneous differential equations.'] = 'Another example of using substitution to solve a first order homogeneous differential equations.';
catalog['Another example showing the probability of rolling an even number three times in a row.'] = 'Ein weiteres Beispiel zeigt die Wahrscheinlichkeit daf\u00fcr, drei Mal hintereinander eine gerade Zahl zu w\u00fcrfeln.';
catalog['Another example subtracting decimals to hundredths'] = 'Ein weiteres Beispiel f\u00fcr Subtraktion von Dezimalzahlen mit Hundertstel';
catalog['Another example using angle addition formula with cosine'] = 'Another example using angle addition formula with cosine';
catalog['Another example using undetermined coefficients.'] = 'Ein weiteres Beispiel f\u00fcr die Verwendung von unbestimmten Koeffizienten.';
catalog['Another example where the nonhomogeneous part is a polynomial'] = 'Another example where the nonhomogeneous part is a polynomial';
catalog['Another example with initial conditions!'] = 'Another example with initial conditions!';
catalog['Another exercise converting a mass composition to an empirical formula.'] = 'Eine weitere \u00dcbung, f\u00fcr die Umwandlung von einer Massenzusammensetzung in eine Summenformel.';
catalog['Another isosceles example problem'] = 'Another isosceles example problem';
catalog['Another least squares example'] = 'Another least squares example';
catalog['Another mass composition problem'] = 'Ein weiteres Problem der Massezusammensetzung';
catalog['Another ordering decimals example'] = 'Ein weiteres Beispiel f\u00fcr Ordnen von Dezimalzahlen';
catalog['Another percent word problem'] = 'Noch eine Prozent Textaufgabe';
catalog['Another polynomial end behavior example'] = 'Ein weiteres Beispiel f\u00fcr polynomisches Verhalten im Unendlichen';
catalog['Another quantitative easing video'] = 'Another quantitative easing video';
catalog['Another rational function graph example'] = 'Ein weiteres Beispiel f\u00fcr Graph einer rationalen Funktion';
catalog['Another separable differential equation example.'] = 'Another separable differential equation example.';
catalog['Another simulation giving evidence that (n-1) gives us an unbiased estimate of variance'] = 'Eine weitere Simulation die uns best\u00e4tigt, dass Dividieren durch (n-1) uns eine korrigierte, unverzerrte Sch\u00e4tzung der Varianz liefert';
catalog['Another stoichiometry example in a solution'] = 'Another stoichiometry example in a solution';
catalog['Another substitution with x=sin (theta)'] = 'Eine weitere Substitution mit x = sin (theta)';
catalog['Another take on the rate problem'] = 'Eine weitere Aufgabe zu Zuwachsraten';
catalog['Another u-substitution example'] = 'Ein weiteres Beispiel f\u00fcr u-Substitution';
catalog['Another version of the stellar parallax introduction'] = 'Eine andere Version zur Einf\u00fchrung der stellaren Parallaxe';
catalog['Another visualization providing evidence that dividing by n-1 truly gives an unbiased estimate of population variance.  Simulation at: http://www.khanacademy.org/cs/unbiased-variance-visualization/1167453164'] = 'Eine andere Visualisierung f\u00fcr den Nachweis, dass die Division durch n-1 wirklich eine korrigierte, unverzerrte Sch\u00e4tzung der Varianz gibt.  -Simulation unter: http://www.khanacademy.org/cs/unbiased-variance-visualization/1167453164';
catalog['Another way to conceptualize the double integral.'] = 'Another way to conceptualize the double integral.';
catalog['Another way to determine time in the air given an initial vertical velocity'] = 'Another way to determine time in the air given an initial vertical velocity';
catalog['Another way to prove the expression for the sum of all positive integers up to and including n'] = 'Another way to prove the expression for the sum of all positive integers up to and including n';
catalog['Another way to solve for the number of sessions at which both plans cost the same'] = 'Eine weitere M\u00f6glichkeit, nach der Anzahl der Sitzungen aufzul\u00f6sen, an der beide Pl\u00e4ne genau gleich viel kosten';
catalog['Answer'] = 'Antwort';
catalog['Answers for Malibu Magazine'] = 'Antworten f\u00fcr das Malibu Magazine';
catalog['Answers for a magazine in Brazil'] = 'Antworten f\u00fcr eine Zeitschrift in Brasilien';
catalog['Answers for the NCSU newpaper'] = 'Antworten f\u00fcr die Zeitung der NCSU';
catalog['Answers to Questions from the Independent'] = 'Antworten zu Fragen der Zeitschrift \'The Independent\'';
catalog['Answers to questions from the Royal Geographic Society'] = 'Antworten auf Fragen der Royal Geographic Society';
catalog['Ant bot'] = 'Ant bot';
catalog['Anthony van Dyck, Charles I at the Hunt, c. 1635'] = 'Anthony van Dyck, Charles I at the Hunt, c. 1635';
catalog['Anthony van Dyck, Charles I at the Hunt, c. 1635, oil on canvas, 2.66 x 2.07 m (Mus\u00e9e du Louvre), inscribed: "Carolus.I.REX Magnae Britanniae" - Charles I rules Great Britain<br><br>Speakers: Dr. Beth Harris and Dr. Steven Zucker &nbsp;'] = 'Anthony van Dyck, Charles I at the Hunt, c. 1635, oil on canvas, 2.66 x 2.07 m (Mus\u00e9e du Louvre), inscribed: "Carolus.I.REX Magnae Britanniae" - Charles I rules Great Britain<br><br>Speakers: Dr. Beth Harris and Dr. Steven Zucker &nbsp;';
catalog['Anti-Pi Rant, 3/14/14'] = 'Anti-Pi Rant, 3/14/14';
catalog['Anti-parabola propoganda, plus musing on math class, cardioids, connect the dots, envelopes of lines, even a bit of origami.Extra points to a certain Andrea whose line-enveloped Hilbert curve inspired me to finish this video.'] = 'Anti-parabola propoganda, plus musing on math class, cardioids, connect the dots, envelopes of lines, even a bit of origami.Extra points to a certain Andrea whose line-enveloped Hilbert curve inspired me to finish this video.';
catalog['Antiderivative of hairier expression'] = 'Stammfunktion haarigerer Ausdr\u00fccke';
catalog['Antiderivative of x^-1'] = 'Stammfunktion von x^-1';
catalog['Antiderivative of xcosx using integration by parts'] = 'Stammfunktion von xcosx mit partieller Integration';
catalog['Antiderivatives and indefinite integrals'] = 'Stammfunktionen und unbestimmte integrale';
catalog['Antiviral drugs for the flu'] = 'Antiviral drugs for the flu';
catalog['Antoine Watteau,  Pilgrimage to Cythera, 1717'] = 'Antoine Watteau,  Pilgrimage to Cythera, 1717';
catalog['Antoine or Louis Le Nain, Peasant Family in an Interior'] = 'Antoine or Louis Le Nain, Peasant Family in an Interior';
catalog['Antoine or Louis Le Nain, Peasant Family in an Interior, 2nd quarter of the 17th century, oil on canvas, 1.13 x 1.59 m (Mus\u00e9e du Louvre, Paris)\n\nhttp://www.smarthistory.org/peasant-family-in-an-interior.html\n\nSpeakers: Drs. Beth Harris and Steven Zucker'] = 'Antoine or Louis Le Nain, Peasant Family in an Interior, 2nd quarter of the 17th century, oil on canvas, 1.13 x 1.59 m (Mus\u00e9e du Louvre, Paris)\n\nhttp://www.smarthistory.org/peasant-family-in-an-interior.html\n\nSpeakers: Drs. Beth Harris and Steven Zucker';
catalog['Antoni Gaud\u00ed, Church of the Sagrada Fam\u00edlia or Bas\u00edlica i Temple Expiatori de la \nSagrada Fam\u00edlia Basilica, 1882- (consecrated 2010, but still under construction), \nBarcelona, Spain'] = 'Antoni Gaud\u00ed, Church of the Sagrada Fam\u00edlia or Bas\u00edlica i Temple Expiatori de la \nSagrada Fam\u00edlia Basilica, 1882- (consecrated 2010, but still under construction), \nBarcelona, Spain';
catalog['Anybody can learn to code'] = 'Anybody can learn to code';
catalog['Anybody or anything (you can decide if a corporation is a person) can have trouble paying its debts.  This tutorial walks through what happens to a corporation in these circumstances.'] = 'Jede Person oder jedes Unternehmen kann Schwierigkeiten bekommen, Schulden zur\u00fcckzuzahlen. Diese \u00dcbung zeigt, was mit Unternehmen in einer solchen Situation passiert.';
catalog['Anything is possible!'] = 'Anything is possible!';
catalog['Anything robots can do, lego robots can do!'] = 'Anything robots can do, lego robots can do!';
catalog['Anything you can do with whole numbers, you can do with decimals.  Subtraction is no exception.  In this tutorial, you\'ll get some good practice subtracting decimals!'] = 'Alles, was du mit ganzen Zahlen tun kannst, kannst du auch mit Dezimalzahlen tun.  Subtraktion ist keine Ausnahme.  In diesem Tutorial bekommst du einige Praxis im  Subtrahieren von Dezimalzahlen!';
catalog['Ape Clarification - that they have no tails'] = 'Ape Clarification - that they have no tails';
catalog['Ape clarification'] = 'Ape clarification';
catalog['Apollonius, Boxer at Rest, c. 100 B.C.E., bronze, Hellenistic Period (Palazzo Massimo, Museo Nazionale Romano, Rome). Speakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Apollonius, Boxer at Rest, c. 100 B.C.E., bronze, Hellenistic Period (Palazzo Massimo, Museo Nazionale Romano, Rome). Speakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Application Problem with Quadratic Formula'] = 'Anwendungsproblem mit quadratischer Formel';
catalog['Application problem with graph'] = 'Anwendungsproblem mit Graph';
catalog['Application problems involving units of weight'] = 'Probleme bei der Anwendung von Gewichtseinheiten';
catalog['Application problems with equation in one variable'] = 'Anwendungsprobleme mit Gleichungen in einer Variable';
catalog['Applications Problem Factoring Quadratics'] = 'Anwendungsproblem Zerlegung von quadratischen Gleichungen';
catalog['Applications of derivatives: Motion along a line'] = 'Applications of derivatives: Motion along a line';
catalog['Applications of derivatives: Tangent and normal lines'] = 'Applications of derivatives: Tangent and normal lines';
catalog['Applications of differentiation in biology, economics, physics, etc.'] = 'Anwendungen der Differenzialrechnung in Biologie, Physik, Wirtschaft, etc.';
catalog['Applied math'] = 'Angewandte Mathematik';
catalog['Apply current in both directions and notice the response is different.'] = 'Apply current in both directions and notice the response is different.';
catalog['Apply properties of operations as strategies to multiply and divide rational numbers.'] = 'Apply properties of operations as strategies to multiply and divide rational numbers.';
catalog['Applying Radical Equations 1'] = 'Anwendung von Wurzel-Gleichungen 1';
catalog['Applying Radical Equations 2'] = 'Anwendung von Wurzel-Gleichungen 2';
catalog['Applying Radical Equations 3'] = 'Anwendung von Wurzel-Gleichungen 3';
catalog['Applying Rational Equations 1'] = 'Anwendung rationaler Gleichungen 1';
catalog['Applying Rational Equations 2'] = 'Anwendung rationaler Gleichungen 2';
catalog['Applying Rational Equations 3'] = 'Anwendung rationaler Gleichungen 3';
catalog['Applying angle addition formula for sin'] = 'Applying angle addition formula for sin';
catalog['Applying angle addition formulas'] = 'Applying angle addition formulas';
catalog['Applying current in various directions to a single loop of wire. Primitive electric motor?'] = 'Applying current in various directions to a single loop of wire. Primitive electric motor?';
catalog['Applying differentiation in different fields'] = 'Anwendung der Ableitung in verschiedenen Feldern';
catalog['Applying extreme value theorem'] = 'Das Extremwert-Theorem anwenden';
catalog['Applying inverse trig function with model'] = 'Applying inverse trig function with model';
catalog['Applying linear equations'] = 'Anwenden von linearen Gleichungen';
catalog['Applying mathematical reasoning'] = 'Anwenden von mathematischer Argumentation';
catalog['Applying multiplication and division'] = 'Angewandte Multiplikation und Division';
catalog['Applying radical equations 1'] = 'Anwendung von Wurzel-Gleichungen 1';
catalog['Applying radical equations 2'] = 'Anwendung von Wurzel-Gleichungen 2';
catalog['Applying radical equations 3'] = 'Anwendung von Wurzel-Gleichungen 3';
catalog['Applying rational equations 1'] = 'Anwendung rationaler Gleichungen 1';
catalog['Applying rational equations 2'] = 'Anwendung rationaler Gleichungen 2';
catalog['Applying rational equations 3'] = 'Anwendung rationaler Gleichungen 3';
catalog['Applying right triangles'] = 'Applying right triangles';
catalog['Applying rotations to polygons in the coordinate plane'] = 'Drehung von Vielecken im Koordinatensystem';
catalog['Applying the Quadratic Formula'] = 'Anwendung der quadratischen L\u00f6sungsformel';
catalog['Applying the formula for an infinite geometric series'] = 'Applying the formula for an infinite geometric series';
catalog['Applying the fundamental theorem of calculus'] = 'Anwendung des Fundamentalsatzes der Analysis';
catalog['Applying the metric system'] = 'Das metrische System anwenden';
catalog['Applying the product rule for derivatives'] = 'Anwendung der Produkt-Regel f\u00fcr Ableitungen';
catalog['Applying translations to polygons in the coordinate plane'] = 'Verschiebung von Polygonen im Koordinatensystem';
catalog['Appomattox court house and Lincoln\'s assassination'] = 'Appomattox court house and Lincoln\'s assassination';
catalog['Appreciating Chinese calligraphy'] = 'Appreciating Chinese calligraphy';
catalog['Appropriate statistical study example'] = 'Appropriate statistical study example';
catalog['Approximate the square roots of numbers which are not perfect squares.'] = 'Absch\u00e4tzung der Quadratwurzeln von Zahlen, die keine Quadratzahlen sind.';
catalog['Approximating Square Roots'] = 'Quadratwurzeln sch\u00e4tzen';
catalog['Approximating a function around a non-zero x value'] = 'Ann\u00e4herung an eine Funktion um einen x-Wert ungleich 0';
catalog['Approximating a function at 0 using a polynomial'] = 'Eine Funktion mittels Polynomen um 0 approximieren';
catalog['Approximating a function with a Taylor Polynomial'] = 'Ann\u00e4herung an eine Funktion mit einem Taylor-Polynom';
catalog['Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series)'] = 'Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series)';
catalog['Approximating cos x with a Maclaurin series.'] = 'N\u00e4herung von cos x mit einer Maclaurin-Reihe.';
catalog['Approximating equation of tangent line word problem'] = 'Approximating equation of tangent line word problem';
catalog['Approximating f(x)=cos x using a Maclauren Series (special case of a Taylor series at x=0)'] = 'Ann\u00e4herung von f(x) = cos x mit einer Maclauren-Reihe (Sonderfall einer Taylor-Reihe bei x = 0)';
catalog['Approximating functions with polynomials (part 3)'] = 'Ann\u00e4herung von Funktionen mit Polynomen (Teil 3)';
catalog['Approximating incremental cost with derivative'] = 'Approximating incremental cost with derivative';
catalog['Approximating instantaneous rate of change word problem'] = 'Approximating instantaneous rate of change word problem';
catalog['Approximating irrational number exercise example'] = 'Ann\u00e4herung an eine irrationale Zahl \u00dcbungsbeispiel';
catalog['Approximating irrational numbers'] = 'Approximating irrational numbers';
catalog['Approximating rate of change and total area under a curve.  Trapezoidal sums to approximate integrals'] = 'Approximating rate of change and total area under a curve.  Trapezoidal sums to approximate integrals';
catalog['Approximating square roots'] = 'Quadratwurzeln sch\u00e4tzen';
catalog['April 30, 2013 at the Khan Academy office in Mountain View, CA'] = 'April 30, 2013 at the Khan Academy office in Mountain View, CA';
catalog['Apsidal Precession (Perihelion Precession)'] = 'Aphel Pr\u00e4zession (Perihel Pr\u00e4zession)';
catalog['Apsidal precession (perihelion precession) and Milankovitch cycles'] = 'Apsidal precession (perihelion precession) and Milankovitch cycles';
catalog['Ara Pacis Augustae (Altar of Augustan Peace), 13-9 B.C.E.Speakers: Dr. Beth Harris &amp; Dr. Steven ZuckerOn Smarthistory: http://smarthistory.khanacademy.org/ara-pacis.htmlOn Khan Academy:'] = 'Ara Pacis Augustae (Altar of Augustan Peace), 13-9 B.C.E.Speakers: Dr. Beth Harris &amp; Dr. Steven ZuckerOn Smarthistory: http://smarthistory.khanacademy.org/ara-pacis.htmlOn Khan Academy:';
catalog['Arabia after World War I'] = 'Arabien nach dem 1. Weltkrieg';
catalog['Arabia and Israel in the 20th Century'] = 'Arabien und Israel im 20. Jahrhundert';
catalog['Arbitrage Basics'] = 'Arbitrage Basics';
catalog['Arbitrage basics'] = 'Arbitrage basics';
catalog['Arbitraging Futures Contracts II'] = 'Arbitraging Futures Contracts II';
catalog['Arbitraging futures contract'] = 'Arbitraging futures contract';
catalog['Arbitraging futures contracts II'] = 'Arbitraging futures contracts II';
catalog['Arc length for a curve'] = 'Arc length for a curve';
catalog['Arc length of a function'] = 'Arc length of a function';
catalog['Arch of Constantine'] = 'Arch of Constantine';
catalog['Arch of Constantine, 315 C.E., Rome\n\nSpeakers: Valentina Follo, Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/arch-of-constantine.html\n\nhttp://www.smarthistory.org/arch-of-constantine.html'] = 'Arch of Constantine, 315 C.E., Rome\n\nSpeakers: Valentina Follo, Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/arch-of-constantine.html\n\nhttp://www.smarthistory.org/arch-of-constantine.html';
catalog['Arch of Titus, originally Pentelic marble, early 19h-century restoration is in travertine, c. 81 C.E. (Via Sacra, Rome) The surviving original inscription reads: SENATVS POPVLVSQVE ROMANVS DIVO TITO DIVI VESPASIANI F[ILIO] VESPASIANO AVGVSTO Senate People of Rome to the divine Titus Vespasian Augustus son of Vespasian Speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Arch of Titus, originally Pentelic marble, early 19h-century restoration is in travertine, c. 81 C.E. (Via Sacra, Rome) The surviving original inscription reads: SENATVS POPVLVSQVE ROMANVS DIVO TITO DIVI VESPASIANI F[ILIO] VESPASIANO AVGVSTO Senate People of Rome to the divine Titus Vespasian Augustus son of Vespasian Speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Archaic and early classical: Ancient Greek temples at Paestum, Italy'] = 'Archaic and early classical: Ancient Greek temples at Paestum, Italy';
catalog['Archaic and early classical: East and West Pediments, Temple of Aphaia, Aegina'] = 'Archaic and early classical: East and West Pediments, Temple of Aphaia, Aegina';
catalog['Archaic: Anavysos Kouros'] = 'Archaic: Anavysos Kouros';
catalog['Archaic: Exekias,  Dionysos Kylix, c. 530 B.C.E.'] = 'Archaic: Exekias,  Dionysos Kylix, c. 530 B.C.E.';
catalog['Archaic: Exekias, Attic black figure amphora with Ajax and Achilles playing a game'] = 'Archaic: Exekias, Attic black figure amphora with Ajax and Achilles playing a game';
catalog['Archaic: Mixing Vessel with Odysseus escaping from the Cyclops\'s cave'] = 'Archaic: Mixing Vessel with Odysseus escaping from the Cyclops\'s cave';
catalog['Archaic: New York Kouros'] = 'Archaic: New York Kouros';
catalog['Archaic: Peplos Kore from the Acropolis'] = 'Archaic: Peplos Kore from the Acropolis';
catalog['Archdukes, Cynicism, and World War I'] = 'Erzherz\u00f6ge, Zynismus und der erste Weltkrieg';
catalog['Arduino connections'] = 'Arduino connections';
catalog['Are 2 magnets stronger than 1?'] = 'Sind 2 Magneten st\u00e4rker als einer?';
catalog['Are Shakespeare\'s plays encoded within pi?'] = 'Are Shakespeare\'s plays encoded within pi?';
catalog['Are Southern Hemisphere seasons more severe because of the eccentricity in Earth\'s orbit?'] = 'Sind S\u00fcdhalbkugel Jahreszeiten ausgepr\u00e4gter wegen der Exzentrizit\u00e4t in der Umlaufbahn der Erde?';
catalog['Are all shadows black? Learn how to build fun, hands-on activities that explore light, color and human perception.'] = 'Are all shadows black? Learn how to build fun, hands-on activities that explore light, color and human perception.';
catalog['Are dolphins the only intelligent life in the universe?  We don\'t know for sure, but this tutorial gives a framework for thinking about the problem.'] = 'Sind die Delphine die einzigen intelligenten Lebewesen im Universum? Wir wissen das zwar nicht sicher, aber dieses Tutorial gibt ein paar Anregungen zum Nachdenken \u00fcber dieses Thema.';
catalog['Are hedge funds bad?'] = 'Are hedge funds bad?';
catalog['Are southern hemisphere seasons more severe?'] = 'Are southern hemisphere seasons more severe?';
catalog['Are you bored of the traditional operators of addition, subtraction, multiplication and division?  Do even exponents seem a little run-of-the-mill?\n\nWell in this tutorial, we will--somewhat arbitrarily--define completely new operators and notation (which are essentially new function definitions without the function notation).  Not only will this tutorial expand your mind, it could be the basis of a lot of fun at your next dinner party!'] = 'Bist du gelangweilt von den traditionellen Operationen der Addition, Subtraktion, Multiplikation und Division? Scheinen dir sogar Exponenten ein wenig 08/15?\n\nIn diesem Tutorial wirst du - etwas willk\u00fcrlich - vollkommen neue Operatoren und Bezeichnungen definieren (die im Grunde neue Funktionsdefinitionen sind, nur ohne die \u00fcbliche Bezeichnung von Funktionen). Dieses Tutorial wird nicht nur deinen Verstand erweitern, sondern k\u00f6nnte auch f\u00fcr viel Spa\u00df bei deinem n\u00e4chsten gemeinschaftlichen Abendessen sorgen!';
catalog['Are you right handed or sinister-handed?  Have you ever thought that you might not be as attractive as you look in the mirror?  Welcome to the world of chirality.\n\nIn this tutorial, Sal explores molecules that have the same composition and bonding, but are fundamentally different because they are mirror images of each other (kind of like Tomax and Xamot--the Crimson Guard Commanders from GI Joe).'] = 'Are you right handed or sinister-handed?  Have you ever thought that you might not be as attractive as you look in the mirror?  Welcome to the world of chirality.\n\nIn this tutorial, Sal explores molecules that have the same composition and bonding, but are fundamentally different because they are mirror images of each other (kind of like Tomax and Xamot--the Crimson Guard Commanders from GI Joe).';
catalog['Are you up to the challenge? The Big History Glossary Challenge? Once you\'ve covered the concepts in this unit, see if you have what it takes!'] = 'Are you up to the challenge? The Big History Glossary Challenge? Once you\'ve covered the concepts in this unit, see if you have what it takes!';
catalog['Area 1'] = 'Fl\u00e4cheninhalt 1';
catalog['Area and circumference of circles'] = 'Fl\u00e4cheninhalt und Umfang von Kreisen';
catalog['Area and perimeter of rectangles word problems'] = 'Fl\u00e4che und Umfang von Rechtecken - Textaufgaben';
catalog['Area and perimeter'] = 'Fl\u00e4che und Umfang';
catalog['Area and the distributive property'] = 'Fl\u00e4che und das Distributivgesetz';
catalog['Area basics'] = 'Fl\u00e4cheninhalt Grundlagen';
catalog['Area between curves with multiple boundaries'] = 'Fl\u00e4che zwischen Kurven mit mehreren Grenzen';
catalog['Area between curves'] = 'Fl\u00e4che zwischen Kurven';
catalog['Area by breaking up shape'] = 'Fl\u00e4chenbestimmung durch Unterteilung einer Fl\u00e4che';
catalog['Area circumradius formula proof'] = 'Area circumradius formula proof';
catalog['Area is how we think about how much space something takes in two dimensions, such as comparing how much land one property takes up versus another. In this tutorial, we\'ll take a conceptual look at how area is actually measured (especially for rectangles).'] = '"Fl\u00e4cheninhalt" ist die Bezeichnung daf\u00fcr, wie viel Platz etwas in zwei Dimensionen braucht, z.B. beim Vergleich zweier Grundst\u00fccke. In diesem Tutorial schauen wir uns an, wie der Fl\u00e4cheninhalt (speziell von Rechtecken) gemessen werden kann.';
catalog['Area is how we thinking about how much space something takes in two dimensions such as comparing how much land one property takes up versus another.  In this tutorial, we\'ll take a conceptual look at how area is actually measured (especially for rectangles).'] = '"Fl\u00e4cheninhalt" ist die Bezeichnung daf\u00fcr, wie viel Platz etwas in zwei Abmessungen braucht, z.B. beim Vergleich zweier Grundst\u00fccke. In diesem Tutorial schauen wir uns an, wie der Fl\u00e4cheninhalt (speziell von Rechtecken) gemessen werden kann.';
catalog['Area model for multiplication'] = 'Fl\u00e4chenmodell f\u00fcr Multiplikation';
catalog['Area models and multiplication'] = 'Fl\u00e4chenmodelle und Multiplikation';
catalog['Area models to visualize multiplication'] = 'Modelle von Fl\u00e4chen zur Veranschaulichung der Multiplikation';
catalog['Area of Diagonal Generated Triangles of Rectangle are Equal'] = 'Area of Diagonal Generated Triangles of Rectangle are Equal';
catalog['Area of Koch snowflake (part 1) - advanced'] = 'Area of Koch snowflake (part 1) - advanced';
catalog['Area of Koch snowflake (part 2) - advanced'] = 'Area of Koch snowflake (part 2) - advanced';
catalog['Area of a Circle'] = 'Fl\u00e4cheninhalt eines Kreises';
catalog['Area of a circle'] = 'Fl\u00e4cheninhalt eines Kreises';
catalog['Area of a kite'] = 'Area of a kite';
catalog['Area of a parallelogram'] = 'Fl\u00e4che eines Parallelogramms';
catalog['Area of a regular hexagon'] = 'Fl\u00e4che eines regelm\u00e4\u00dfigen Sechsecks';
catalog['Area of a sector given a central angle'] = 'Area of a sector given a central angle';
catalog['Area of a trapezoid'] = 'Fl\u00e4che eines Trapez';
catalog['Area of an equilateral triangle'] = 'Area of an equilateral triangle';
catalog['Area of diagonal generated triangles of rectangle are equal'] = 'Area of diagonal generated triangles of rectangle are equal';
catalog['Area of inscribed equilateral triangle (some basic trig used)'] = 'Area of inscribed equilateral triangle (some basic trig used)';
catalog['Area of inscribed triangle'] = 'Fl\u00e4che von eingeschriebenen Dreieck';
catalog['Area of parallelograms'] = 'Bereich von Parallelogrammen';
catalog['Area of quadrilaterals and polygons'] = 'Area of quadrilaterals and polygons';
catalog['Area of rectangles and the distributive property'] = 'Fl\u00e4chen von Rechtecken und das Distributivgesetz';
catalog['Area of shaded region made from equilateral triangles'] = 'Area of shaded region made from equilateral triangles';
catalog['Area of shaded region'] = 'Fl\u00e4cheninhalt des eingef\u00e4rbten Bereichs';
catalog['Area of strange quadrilateral'] = 'Fl\u00e4che eines komischen Vierecks';
catalog['Area of trapezoids, rhombi, and kites'] = 'Fl\u00e4chen eines Trapezes, einer Raute und eines Drachenvierecks';
catalog['Area of triangles'] = 'Die Fl\u00e4che von Dreiecken';
catalog['Area problems'] = 'Aufgaben zur Fl\u00e4chenberechnung';
catalog['Area'] = 'Fl\u00e4cheninhalt';
catalog['Area, volume, and surface area'] = 'Fl\u00e4cheninhalt, Volumen und Oberfl\u00e4che';
catalog['Areas of circles and sectors'] = 'Fl\u00e4cheninhalt von Kreisen und Kreis-Sektoren';
catalog['Areas that have a high diversity of unique and threatened species are known as biodiversity hotspots.'] = 'Areas that have a high diversity of unique and threatened species are known as biodiversity hotspots.';
catalog['Aren\'t quadrilaterals just two triangles pushed together?'] = 'Aren\'t quadrilaterals just two triangles pushed together?';
catalog['Argand Diagram, magnitude, modulus, argument, exponential form'] = 'Argand Diagram, magnitude, modulus, argument, exponential form';
catalog['Arguably the \'easiest\' class of differential equations.  Here we use our powers of algebra to "separate" the y\'s from the x\'s on two different sides of the equation and then we just integrate!'] = 'Die wohl einfachste Klasse der Differenzialgleichungen. Hier wenden wir unsere Algebra F\u00e4higkeiten an, um auf beiden Seiten der Gleichung alle y von den x zu "trennen", und dann integrieren wir!';
catalog['Arithmetic and pre-algebra'] = 'Arithmetik und Vorwissen zu Algebra';
catalog['Arithmetic operations'] = 'Arithmetische Operationen';
catalog['Arithmetic properties'] = 'Arithmetische Eigenschaften';
catalog['Arithmetic sequences 1'] = 'Arithmetische Folgen 1';
catalog['Arithmetic sequences 2'] = 'Arithmetische Folgen 2';
catalog['Arithmetic sequences'] = 'Arithmetische Folgen';
catalog['Arithmetic series'] = 'Arithmetische Folge';
catalog['Arithmetic warmups'] = 'Arithmetic warmups';
catalog['Arnold B\u00f6cklin, Self-Portrait with Death Playing the Fiddle, 1872, oil on canvas, 75 x 61 cm (Alte Nationalgalerie, Berlin)'] = 'Arnold B\u00f6cklin, Self-Portrait with Death Playing the Fiddle, 1872, oil on canvas, 75 x 61 cm (Alte Nationalgalerie, Berlin)';
catalog['Aromatic compounds'] = 'Aromatische Verbindungen';
catalog['Aromatic heterocycles I'] = 'Aromatic heterocycles I';
catalog['Aromatic heterocycles II'] = 'Aromatic heterocycles II';
catalog['Aromatic heterocycles'] = 'Aromatic heterocycles';
catalog['Aromatic stability I'] = 'Aromatic stability I';
catalog['Aromatic stability II'] = 'Aromatic stability II';
catalog['Aromatic stability III'] = 'Aromatic stability III';
catalog['Aromatic stability IV'] = 'Aromatic stability IV';
catalog['Aromatic stability V'] = 'Aromatic stability V';
catalog['Aromatic stability of benzene'] = 'Aromatic stability of benzene';
catalog['Aromatic stability'] = 'Aromatischen Stabilit\u00e4t';
catalog['Arp, Untitled (Collage with Squares Arranged According to the Laws of Chance)'] = 'Arp, Untitled (Collage with Squares Arranged According to the Laws of Chance)';
catalog['Arrays'] = 'Arrays';
catalog['Arrhenius, Bronsted Lowry, and Lewis Acids and Bases.'] = 'Arrhenius, Bronsted-Lowry und Lewis-S\u00e4uren und Basen.';
catalog['Art & Context: Monet\'s Cliff Walk at Pourville & Malevich\'s Suprematist Composition: White on White\n\nA conversation with Sal Khan, Steven Zucker & Beth Harris'] = 'Art & Context: Monet\'s Cliff Walk at Pourville & Malevich\'s Suprematist Composition: White on White\n\nA conversation with Sal Khan, Steven Zucker & Beth Harris';
catalog['Art Conservation'] = 'Art Conservation';
catalog['Art History Basics'] = 'Art History Basics';
catalog['Art History Introduction'] = 'Art History Introduction';
catalog['Art History:  - 400 C.E. Ancient Cultures'] = 'Kunstgeschichte: - 400 n. Chr. Antike Kulturen';
catalog['Art History: 1300-1400 Proto-Renaissance'] = 'Art History: 1300-1400 Proto-Renaissance';
catalog['Art History: 1400-1500 Renaissance in Italy and the North'] = 'Art History: 1400-1500 Renaissance in Italy and the North';
catalog['Art History: 1500-1600 End of the Renaissance and the Reformation'] = 'Art History: 1500-1600 End of the Renaissance and the Reformation';
catalog['Art History: 1600-1700 The Baroque'] = 'Art History: 1600-1700 The Baroque';
catalog['Art History: 1700-1800 Age of Enlightenment'] = 'Art History: 1700-1800 Age of Enlightenment';
catalog['Art History: 1800-1848 Industrial Revolution I'] = 'Art History: 1800-1848 Industrial Revolution I';
catalog['Art History: 1848-1907 Industrial Revolution II'] = 'Art History: 1848-1907 Industrial Revolution II';
catalog['Art History: 1907-1960 Age of Global Conflict'] = 'Art History: 1907-1960 Age of Global Conflict';
catalog['Art History: 1960-  Age of Post-Colonialism'] = 'Art History: 1960-  Age of Post-Colonialism';
catalog['Art History: 400-1300 Medieval & Byzantine Eras'] = 'Art History: 400-1300 Medieval & Byzantine Eras';
catalog['Art History: Ancient Egypt'] = 'Art History: Ancient Egypt';
catalog['Art History: Ancient Greece'] = 'Art History: Ancient Greece';
catalog['Art History: Ancient Near East'] = 'Art History: Ancient Near East';
catalog['Art History: Ancient Rome'] = 'Art History: Ancient Rome';
catalog['Art History: Architecture'] = 'Kunstgeschichte: Architektur';
catalog['Art History: Art of the Americas'] = 'Art History: Art of the Americas';
catalog['Art History: Buddhist Art'] = 'Kunstgeschichte: Buddhistische Kunst';
catalog['Art History: Byzantine'] = 'Art History: Byzantine';
catalog['Art History: Cubism'] = 'Art History: Cubism';
catalog['Art History: Early Christian'] = 'Art History: Early Christian';
catalog['Art History: Early Medieval Art'] = 'Art History: Early Medieval Art';
catalog['Art History: English Portraiture'] = 'Art History: English Portraiture';
catalog['Art History: Flanders'] = 'Art History: Flanders';
catalog['Art History: Florence'] = 'Kunstgeschichte: Florenz';
catalog['Art History: France'] = 'Kunstgeschichte: Frankreich';
catalog['Art History: Gothic'] = 'Art History: Gothic';
catalog['Art History: High Renaissance'] = 'Art History: High Renaissance';
catalog['Art History: Holland'] = 'Kunstgeschichte: Holland';
catalog['Art History: Impressionism'] = 'Kunstgeschichte: Impressionismus';
catalog['Art History: Introduction to Art History'] = 'Kunstgeschichte: Einf\u00fchrung in die Kunstgeschichte';
catalog['Art History: Islamic Art'] = 'Kunstgeschichte: Islamische Kunst';
catalog['Art History: Italy'] = 'Kunstgeschichte: Italien';
catalog['Art History: Late Victorian'] = 'Art History: Late Victorian';
catalog['Art History: Mannerism'] = 'Art History: Mannerism';
catalog['Art History: Media'] = 'Art History: Media';
catalog['Art History: Neo-Classicism'] = 'Art History: Neo-Classicism';
catalog['Art History: Neue Sachlichkeit'] = 'Art History: Neue Sachlichkeit';
catalog['Art History: Northern Renaissance'] = 'Art History: Northern Renaissance';
catalog['Art History: Pop Art'] = 'Art History: Pop Art';
catalog['Art History: Post-Impressionism'] = 'Art History: Post-Impressionism';
catalog['Art History: Postmodernism'] = 'Art History: Postmodernism';
catalog['Art History: Pre-Raphaelites'] = 'Art History: Pre-Raphaelites';
catalog['Art History: Prehistoric'] = 'Art History: Prehistoric';
catalog['Art History: Realism'] = 'Kunstgeschichte: Realismus';
catalog['Art History: Rococo'] = 'Kunstgeschichte: Rokoko';
catalog['Art History: Romanesque'] = 'Art History: Romanesque';
catalog['Art History: Romanticism in England'] = 'Art History: Romanticism in England';
catalog['Art History: Romanticism in France'] = 'Art History: Romanticism in France';
catalog['Art History: Romanticism in Germany'] = 'Art History: Romanticism in Germany';
catalog['Art History: Romanticism in Spain'] = 'Art History: Romanticism in Spain';
catalog['Art History: Romanticism in the United States'] = 'Art History: Romanticism in the United States';
catalog['Art History: Second Empire'] = 'Art History: Second Empire';
catalog['Art History: Siena'] = 'Kunstgeschichte: Siena';
catalog['Art History: Spain'] = 'Kunstgeschichte: Spanien';
catalog['Art History: Symbolism'] = 'Art History: Symbolism';
catalog['Art History: The Basics'] = 'Art History: The Basics';
catalog['Art History: Tyrol'] = 'Kunstgeschichte: Tirol';
catalog['Art History: Venice'] = 'Kunstgeschichte: Venedig';
catalog['Art Terms in Action: Emulsion'] = 'Art Terms in Action: Emulsion';
catalog['Art Terms in Action: Enamel'] = 'Art Terms in Action: Enamel';
catalog['Art Terms in Action: Paint'] = 'Art Terms in Action: Paint';
catalog['Art Terms in Action: Palette Knife'] = 'Art Terms in Action: Palette Knife';
catalog['Art Terms in Action: Stain'] = 'Art Terms in Action: Stain';
catalog['Art Terms in Action: Tint, Shade, and Tone'] = 'Art Terms in Action: Tint, Shade, and Tone';
catalog['Art Terms in Action: Turpentine Burn'] = 'Art Terms in Action: Turpentine Burn';
catalog['Art Terms in Action: Viscosity'] = 'Art Terms in Action: Viscosity';
catalog['Art and context: Monet\'s Cliff Walk at Pourville and Malevich\'s White on White'] = 'Art and context: Monet\'s Cliff Walk at Pourville and Malevich\'s White on White';
catalog['Art and culture from the European invasion of the Americas to the end of the colonial era.'] = 'Art and culture from the European invasion of the Americas to the end of the colonial era.';
catalog['Art and the French State'] = 'Art and the French State';
catalog['Art and the French state'] = 'Art and the French state';
catalog['Art as Concept: Duchamp\'s Shovel\n\nMarcel Duchamp, In Advance of the Broken Arm, 1964 (fourth version, after lost original of November 1915) (MoMA)\n\nA conversation with Sal Khan & Steven Zucker'] = 'Art as Concept: Duchamp\'s Shovel\n\nMarcel Duchamp, In Advance of the Broken Arm, 1964 (fourth version, after lost original of November 1915) (MoMA)\n\nA conversation with Sal Khan & Steven Zucker';
catalog['Art as concept: In Advance of the Broken Arm'] = 'Art as concept: In Advance of the Broken Arm';
catalog['Art conservation work includes treatment and preventive care, scholarly research on materials and techniques, and development of new conservation methods to address the changing needs of a growing museum. The Conservation Center at the Asian Art Museum shares the mandate of the museum to create a deeper level of understanding of Asian cultures by our visitors. Through cooperative exchanges, joint projects, and public outreach, art conservation can provide a unique window into shared traditions of art preservation, restoration and fabrication. '] = 'Art conservation work includes treatment and preventive care, scholarly research on materials and techniques, and development of new conservation methods to address the changing needs of a growing museum. The Conservation Center at the Asian Art Museum shares the mandate of the museum to create a deeper level of understanding of Asian cultures by our visitors. Through cooperative exchanges, joint projects, and public outreach, art conservation can provide a unique window into shared traditions of art preservation, restoration and fabrication. ';
catalog['Art conservation'] = 'Konservierung';
catalog['Art from the Yuan dynasty'] = 'Art from the Yuan dynasty';
catalog['Art had never been especially important in America. Before the Civil War, many of America\u2019s best artists went to Europe and stayed. Even after the war, American artists found little enthusiasm for their work unless it was directly informed by European precedents. By the first years of the 20th Century, a small group of American artists began to paint the gritty streets of New York and were called the Ashcan School for their portrayal of life in the tenements. In 1913 however, the Armory Show exhibited advanced American and European art and helped to create a market for the work of Georgia O\u2019Keeffe and other members of modern galleries like Alfred Steiglitz\u2019s 291 and Peggy Guggenheim\u2019s Art of This Century. During the Great Depression artists such as Grant Wood portrayed rural life in the south and midwest and became known as regionalists while other realists such as Edward Hopper rendered the alienation of the modern city. Meanwhile, Surrealist ideas infused a younger generation of artists\u2019 work in Mexico and the US which would result, by the end of WWII, in the first internationally important American art movement, Abstract Expressionism.'] = 'Art had never been especially important in America. Before the Civil War, many of America\u2019s best artists went to Europe and stayed. Even after the war, American artists found little enthusiasm for their work unless it was directly informed by European precedents. By the first years of the 20th Century, a small group of American artists began to paint the gritty streets of New York and were called the Ashcan School for their portrayal of life in the tenements. In 1913 however, the Armory Show exhibited advanced American and European art and helped to create a market for the work of Georgia O\u2019Keeffe and other members of modern galleries like Alfred Steiglitz\u2019s 291 and Peggy Guggenheim\u2019s Art of This Century. During the Great Depression artists such as Grant Wood portrayed rural life in the south and midwest and became known as regionalists while other realists such as Edward Hopper rendered the alienation of the modern city. Meanwhile, Surrealist ideas infused a younger generation of artists\u2019 work in Mexico and the US which would result, by the end of WWII, in the first internationally important American art movement, Abstract Expressionism.';
catalog['Art history - media'] = 'Art history - media';
catalog['Art history basics'] = 'Art history basics';
catalog['Art history'] = 'Kunstgeschichte';
catalog['Art history: Burgundy'] = 'Art history: Burgundy';
catalog['Art history: Dada'] = 'Art history: Dada';
catalog['Art history: Expressionism'] = 'Art history: Expressionism';
catalog['Art history: Minimalism'] = 'Art history: Minimalism';
catalog['Art history: Performance art'] = 'Art history: Performance art';
catalog['Art history: Process art'] = 'Art history: Process art';
catalog['Art history: The postwar figure'] = 'Art history: The postwar figure';
catalog['Art in Britain and America in the age of revolution'] = 'Art in Britain and America in the age of revolution';
catalog['Art in Burgundy, 1400-1500'] = 'Art in Burgundy, 1400-1500';
catalog['Art in Flanders, 1400-1500'] = 'Art in Flanders, 1400-1500';
catalog['Art in France excluding Burgundy'] = 'Art in France excluding Burgundy';
catalog['Art of the Americas'] = 'Art of the Americas';
catalog['Art of the Islamic World '] = 'Art of the Islamic World ';
catalog['Art of the Islamic world in the medieval era'] = 'Art of the Islamic world in the medieval era';
catalog['Art of the past half century that focuses on the body and its meanings through depiction and enactment outside the traditional boundaries of dance, drama and music.'] = 'Art of the past half century that focuses on the body and its meanings through depiction and enactment outside the traditional boundaries of dance, drama and music.';
catalog['Artemisia Gentileschi, Self-portrait as the Allegory of Painting, 1638-39 (Royal Collection, Windsor)\n\nSpeakers: John Machado and Denise Johnson of Iconomaniacs'] = 'Artemisia Gentileschi, Self-portrait as the Allegory of Painting, 1638-39 (Royal Collection, Windsor)\n\nSpeakers: John Machado and Denise Johnson of Iconomaniacs';
catalog['Artemision Zeus or Poseidon, c. 460 B.C.E.'] = 'Artemision Zeus or Poseidon, c. 460 B.C.E.';
catalog['Artemision Zeus or Poseidon, c. 460 B.C.E., bronze, 2.09 m high, Early Classical (Severe Style), recovered from a shipwreck off Cape Artemision, Greece in 1928 (National Archaeological Museum, Athens)<br />\n<br />\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Artemision Zeus or Poseidon, c. 460 B.C.E., bronze, 2.09 m high, Early Classical (Severe Style), recovered from a shipwreck off Cape Artemision, Greece in 1928 (National Archaeological Museum, Athens)<br />\n<br />\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Arterial Stiffness'] = 'Arterial Stiffness';
catalog['Arterial elastance (Ea) and afterload'] = 'Arterial elastance (Ea) and afterload';
catalog['Arterial elastance (Ea) and preload'] = 'Arterial elastance (Ea) and preload';
catalog['Arterial stiffness'] = 'Arterial stiffness';
catalog['Arteries vs. veins - what\'s the difference?'] = 'Arteries vs. veins - what\'s the difference?';
catalog['Arteries, arterioles, venules, and veins'] = 'Arteries, arterioles, venules, and veins';
catalog['Arteriolosclerosis - part 1'] = 'Arteriolosclerosis - part 1';
catalog['Arteriolosclerosis - part 2'] = 'Arteriolosclerosis - part 2';
catalog['Arteriosclerosis, arteriolosclerosis, and atherosclerosis'] = 'Arteriosclerosis, arteriolosclerosis, and atherosclerosis';
catalog['Artist De Wain Valentine developed the polyester MasKast Resin to create his large-scale sculptures. Learn more in this short video. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>'] = 'Artist De Wain Valentine developed the polyester MasKast Resin to create his large-scale sculptures. Learn more in this short video. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>';
catalog['Artist Isaac Julien discusses his work, Ten Thousand Waves, and its installation.&nbsp;To learn more about what artists have to say, take our online course, <a href="http://www.moma.org/learn/courses/online#course6">Modern and Contemporary Art, 1945-1989</a>.'] = 'Artist Isaac Julien discusses his work, Ten Thousand Waves, and its installation.&nbsp;To learn more about what artists have to say, take our online course, <a href="http://www.moma.org/learn/courses/online#course6">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Artist interviews'] = 'K\u00fcnstler Interviews';
catalog['Artistic traditions of the ancient Near East and dynastic Egypt focused on representing royal figures and divinities and on the function of funerary and palatial complexes within their cultural contexts. Works of art illustrate the active exchange of ideas and reception of artistic styles among the Mediterranean cultures and the subsequent influence on the classical world.\n\nBy permission, \u00a9 2013 The College Board'] = 'Artistic traditions of the ancient Near East and dynastic Egypt focused on representing royal figures and divinities and on the function of funerary and palatial complexes within their cultural contexts. Works of art illustrate the active exchange of ideas and reception of artistic styles among the Mediterranean cultures and the subsequent influence on the classical world.\n\nBy permission, \u00a9 2013 The College Board';
catalog['Artists Experiment 2014 | MoMA'] = 'Artists Experiment 2014 | MoMA';
catalog['Artists first represented the human body more than 30,000 years ago and haven\u2019t stopped since. Figurative art has been a continuous tradition through human history. Even in societies where the biblical law forbidding the graven image is most strictly interpreted (Judaism and Islam for example), there have always been instances of figural art. The same is true for the era of modernist abstraction when artists found new ways to portray the body on canvas or with the lens of a camera that could profoundly describe the human condition in , and abstraction the post-holocaust era.'] = 'Artists first represented the human body more than 30,000 years ago and haven\u2019t stopped since. Figurative art has been a continuous tradition through human history. Even in societies where the biblical law forbidding the graven image is most strictly interpreted (Judaism and Islam for example), there have always been instances of figural art. The same is true for the era of modernist abstraction when artists found new ways to portray the body on canvas or with the lens of a camera that could profoundly describe the human condition in , and abstraction the post-holocaust era.';
catalog['Artists have used printmaking to create some of their most profound and compelling works of art, yet the basic printmaking techniques remain a mystery to most people. These videos demonstrate three key printmaking processes\u2014relief, intaglio, and lithography. They include prints from the Museum\'s collection to demonstrate the range of expressive effects associated with each technique.'] = 'Artists have used printmaking to create some of their most profound and compelling works of art, yet the basic printmaking techniques remain a mystery to most people. These videos demonstrate three key printmaking processes\u2014relief, intaglio, and lithography. They include prints from the Museum\'s collection to demonstrate the range of expressive effects associated with each technique.';
catalog['Arts of the Islamic world'] = 'Arts of the Islamic world';
catalog['As giant hunks of rock, metal, and ice slammed into the Earth\u2019s surface, it became a planet with three layers. The interplay between the layers resulted in the Earth as we know it.'] = 'As giant hunks of rock, metal, and ice slammed into the Earth\u2019s surface, it became a planet with three layers. The interplay between the layers resulted in the Earth as we know it.';
catalog['As he completes what may be his last feature film, <em>Jimmy&#39;s Hall</em> a period drama set in 1930&#39;s Ireland, Ken Loach reflects on the connections between art and filmmaking, and explains why he&#39;d rather spend time with William Hogarth and his servants than any of the fine dandies in other portraits on show at Tate Britain. &nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.'] = 'As he completes what may be his last feature film, <em>Jimmy&#39;s Hall</em> a period drama set in 1930&#39;s Ireland, Ken Loach reflects on the connections between art and filmmaking, and explains why he&#39;d rather spend time with William Hogarth and his servants than any of the fine dandies in other portraits on show at Tate Britain. &nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.';
catalog['As humans, we really like breathing oxygen.  That\'s because the cells in our body will die if they don\'t get oxygen to function in a reasonable amount of time.  This tutorials describes how we use the lungs to exchange gasses between our blood and the atmosphere and how the oxygen is then pumped through the body by way of blood and the circulatory system.'] = 'As humans, we really like breathing oxygen.  That\'s because the cells in our body will die if they don\'t get oxygen to function in a reasonable amount of time.  This tutorials describes how we use the lungs to exchange gasses between our blood and the atmosphere and how the oxygen is then pumped through the body by way of blood and the circulatory system.';
catalog['As systems of exchange and trade made the world a smaller place, the Afro-Eurasian world zone gained power.'] = 'As systems of exchange and trade made the world a smaller place, the Afro-Eurasian world zone gained power.';
catalog['As the industrial revolution transformed the British countryside, replacing fields with factories, painters turned to landscape. Constable painted his native suffolk, where he spent his childhood, and imbued it with a sense of affection for rural life. Turner, on the other hand, created dramatic and sublime landscapes with a sense of the heroic or even the tragic. What both of these artists have in common is a desire to make landscape painting\u2014understood as a low subject by the Academy which dictated official views on art\u2014carry serious meaning.'] = 'As the industrial revolution transformed the British countryside, replacing fields with factories, painters turned to landscape. Constable painted his native suffolk, where he spent his childhood, and imbued it with a sense of affection for rural life. Turner, on the other hand, created dramatic and sublime landscapes with a sense of the heroic or even the tragic. What both of these artists have in common is a desire to make landscape painting\u2014understood as a low subject by the Academy which dictated official views on art\u2014carry serious meaning.';
catalog['As we\'ll see in this tutorial, anything from compound interest to radioactive decay can be modeled with exponential functions.'] = 'As we\'ll see in this tutorial, anything from compound interest to radioactive decay can be modeled with exponential functions.';
catalog['As we\'ll see in this tutorial, it is hard not to love a basis where all the vectors are orthogonal to each other and each have length 1 (hey, this sounds pretty much like some coordinate systems you\'ve known for a long time!).  We explore these orthonormal bases in some depth and also give you a great tool for creating them: the Gram-Schmidt Process (which would also be a great name for a band).'] = 'As we\'ll see in this tutorial, it is hard not to love a basis where all the vectors are orthogonal to each other and each have length 1 (hey, this sounds pretty much like some coordinate systems you\'ve known for a long time!).  We explore these orthonormal bases in some depth and also give you a great tool for creating them: the Gram-Schmidt Process (which would also be a great name for a band).';
catalog['As we\'ll see in this tutorial, multiplying a multiple of 10--like 10, 20, 30, 40, etc.--by a single digit number is not too much more complicated.\n\nCommon Core Standard: 3.NBT.A.3'] = 'Wie wir in diesem Tutorial sehen, ist das multiplizieren eines Vielfachen von 10 mit einer einstelligen Zahl nicht viel komplizierter.';
catalog['As we\'ll see, some of the properties of scalar multiplication (like the distributive and associative properties) have analogs in matrix multiplication while some don\'t (the commutative property). '] = 'As we\'ll see, some of the properties of scalar multiplication (like the distributive and associative properties) have analogs in matrix multiplication while some don\'t (the commutative property). ';
catalog['As we\'ve already seen, Maclaurin series are special cases of Taylor series centered at 0.  We\'ll now focus on more generalized Taylor series.'] = 'As we\'ve already seen, Maclaurin series are special cases of Taylor series centered at 0.  We\'ll now focus on more generalized Taylor series.';
catalog['Ashurbanipal hunting lions (Assyrian)'] = 'Ashurbanipal hunting lions (Assyrian)';
catalog['Asian Art Museum'] = 'Das Asian Art Museum';
catalog['Asking an expert'] = 'Einen Experten fragen';
catalog['Asks students to find the minimum speed necessary to complete the loop de loop'] = 'Asks students to find the minimum speed necessary to complete the loop de loop';
catalog['Aspects of Collective Behavior: Fads, Mass Hysteria, and Riots'] = 'Aspects of Collective Behavior: Fads, Mass Hysteria, and Riots';
catalog['Aspen Institute'] = 'Aspen Institute';
catalog['Assassination of Franz Ferdinand by Gavrilo Princip'] = 'Ermordung von Franz Ferdinand durch Gavrilo Princip';
catalog['Assessing alignment of the lateral cervical spine (neck) X-ray'] = 'Assessing alignment of the lateral cervical spine (neck) X-ray';
catalog['Associative Law of Addition'] = 'Das assoziative Gesetz der Addition';
catalog['Associative Law of Multiplication'] = 'Das assoziative Gesetz der Multiplikation';
catalog['Associative law of addition'] = 'Assoziativ-Gesetz der Addition';
catalog['Associative law of multiplication'] = 'Das Assoziativ-Gesetz der Multiplikation';
catalog['Associative property of matrix multiplication'] = 'Associative property of matrix multiplication';
catalog['Asthma'] = 'Asthma';
catalog['Astronomy begins when we look up and start asking questions. Where are we? How big is the earth? This lesson is for all ages, start here!'] = 'Astronomie beginnt, wenn wir nach oben schauen und anfangen Fragen zu stellen. Wo sind wir? Wie gro\u00df ist die Erde? Diese Lektion ist f\u00fcr alle Altersgruppen, starte hier!';
catalog['Asymptotes and graphing rational functions'] = 'Asymptoten und das Zeichnen rationaler Funktionen';
catalog['Asymptotes of Rational Functions'] = 'Asymptoten von rationalen Funktionen';
catalog['Asymptotes of rational functions'] = 'Asymptoten von rationalen Funktionen';
catalog['At Stanford Medical School with Morgan Theis talking to  Dr. Laura Bachrach talking about precocious puberty'] = 'At Stanford Medical School with Morgan Theis talking to  Dr. Laura Bachrach talking about precocious puberty';
catalog['At least 50% of the math that you end up doing in your real life will involve percentages.  We\'re not really sure about that figure, but it sounds authoritative.  Anyway, unless you\'ve watched this tutorial, you\'re really in no position to argue otherwise.\n\nAs you\'ll see "percent" literally means "per cent" or "per hundred".  It\'s a pseudo-decimally thing that our society likes to use even though decimals or fractions alone would have done the trick.  Either way, we\'re 100% sure you\'ll find this useful.'] = 'Bei mindestens 50% der Mathematik, mit der du in deinem Leben zu tun haben wirst, wird es um Prozentrechnung gehen.  Wir sind uns dieser Zahl nicht ganz sicher, aber es klingt sehr bedeutsam.  Wie auch immer, sobald du dieses Tutorial gesehen hast, wirst du damit einer Meinung sein.\n\n Du wirst sehen, dass "Prozent" w\u00f6rtlich "pro cent" oder "pro hundert" bedeutet.  Es ist ein pseudo-dezimales Ding, das unsere Gesellschaft gern nutzt, obwohl Dezimalzahlen oder Br\u00fcche allein auch gereicht h\u00e4tten.  So oder so, wir sind uns 100% sicher, dass du das n\u00fctzlich finden wirst.';
catalog['At least 50% of the math that you end up doing in your real life will involve percentages.  We\'re not really sure about that figure, but it sounds authoritative.  Anyway, unless you\'ve watched this tutorial, you\'re really in no position to argue otherwise.\n\nCommon Core Standards: 7.EE.B.3'] = 'Mindestens 50% der Mathematik, mit der du im echten Leben konfrontiert wirst, h\u00e4ngt mit Prozents\u00e4tzen zusammen. Wir sind uns \u00fcber die Zahl nicht hundertprozentig sicher, aber sie klingt realisitsch. Eigentlich egal, denn solange du das Tutorial nicht gemacht hast, bist du nicht in der Position, eine andere Meinung zu argumentieren. \n\n Basisnormen: 7.EE.B.3';
catalog['At least 50% of the math that you end up doing in your real life will involve percentages. We\'re not really sure about that figure, but it sounds authoritative. Anyway, unless you\'ve watched this tutorial, you\'re really in no position to argue otherwise. As you\'ll see "percent" literally means "per cent" or "per hundred". It\'s a pseudo-decimally thing that our society likes to use even though decimals or fractions alone would have done the trick. Either way, we\'re 100% sure you\'ll find this useful.\n\nCommon Core Standard: 6.RP.A.3c'] = 'Mindestens 50% der Mathematik die du im echten Leben brauchst wird Prozente beinhalten. Wir sind uns nicht wirklich sicher ob die Zahl passt, aber es klingt doch ziemlich bestimmt. Wie auch immer, solange du dir dieses Tutorium nicht angesehen hast, bist du in keiner Position das Gegenteil zu behaupten. Wie du sehen wirst steht "Prozent" w\u00f6rtlich f\u00fcr "Pro Cent" oder "Pro hundert". Es ist so eine Art Pseudo-Dezimaldings, welches unsere Gesellschaft sehr oft verwendet obwohl Dezimalstellen oder Br\u00fcche vollkommen ausreichend gewesen w\u00e4ren. Jedenfalls sind wir uns 100% sicher, dass du dies hier n\u00fctzlich finden wirst.\n\nCommon Core Standard: 6.RP.A.3c';
catalog['Athanadoros, Hagesandros, and Polydoros of Rhodes, Laoco\u00f6n and his Sons, early first century C.E., marble, 7\'10 1/2" high (Vatican Museums)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris'] = 'Athanadoros, Hagesandros, and Polydoros of Rhodes, Laoco\u00f6n and his Sons, early first century C.E., marble, 7\'10 1/2" high (Vatican Museums)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris';
catalog['Atherosclerosis - part 1'] = 'Atherosclerosis - part 1';
catalog['Atherosclerosis - part 2'] = 'Atherosclerosis - part 2';
catalog['Atomic and ionic radii'] = 'Atomic and ionic radii';
catalog['Atoms, elements and molecules. Understanding the building blocks of matter.'] = 'Atoms, elements and molecules. Understanding the building blocks of matter.';
catalog['Attach Spout\'s antennae'] = 'Attach Spout\'s antennae';
catalog['Attach the LED eyes'] = 'Attach the LED eyes';
catalog['Attempt to measure the change in force of a magnet over a distance using the deflection of a compass. What is wrong with this approach?'] = 'Attempt to measure the change in force of a magnet over a distance using the deflection of a compass. What is wrong with this approach?';
catalog['Attempted'] = 'Attempted';
catalog['Attempting to comprehend the scale of the large'] = 'Versuchen das Ausma\u00df von sehr gro\u00dfen Sachen zu verstehen';
catalog['Attempts'] = 'Attempts';
catalog['Attention and language - Passage 1'] = 'Attention and language - Passage 1';
catalog['Attention and language - Passage 2'] = 'Attention and language - Passage 2';
catalog['Attention and language'] = 'Aufmerksamkeit und Sprache';
catalog['Attitude influences behavior'] = 'Attitude influences behavior';
catalog['Attributes of shapes'] = 'Attribute von Formen';
catalog['Auditory processing'] = 'Auditory processing';
catalog['Auditory structure - part 1'] = 'Auditory structure - part 1';
catalog['Auditory structure - part 2'] = 'Auditory structure - part 2';
catalog['Aug 9th 2012)'] = 'Aug 9th 2012)';
catalog['August 17, 2011'] = '17. August 2011';
catalog['Auguste Rodin, The Gates of Hell\u200b, 1880-1917, plaster (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nWhen the building, earlier on the site of the Mus\u00e9e d\'Orsay in Paris, was destroyed by fire during the Commune in 1871, plans were drawn up to replace it with a museum of decorative arts. Rodin won the competition to design a great set of doors for its entry way. Although the museum was never built, Rodin continued to work on the doors. They became an ongoing project; a grand stage for his sculptural ideas. It\'s fitting that the plaster of this great unfinished sculpture, The Gates of Hell, is now on display at the d\'Orsay, the former railway terminal that was built on this site instead of the museum of decorative arts and that, by lovely coincidence, was converted into one of the world\'s great art museums.'] = 'Auguste Rodin, The Gates of Hell\u200b, 1880-1917, plaster (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nWhen the building, earlier on the site of the Mus\u00e9e d\'Orsay in Paris, was destroyed by fire during the Commune in 1871, plans were drawn up to replace it with a museum of decorative arts. Rodin won the competition to design a great set of doors for its entry way. Although the museum was never built, Rodin continued to work on the doors. They became an ongoing project; a grand stage for his sculptural ideas. It\'s fitting that the plaster of this great unfinished sculpture, The Gates of Hell, is now on display at the d\'Orsay, the former railway terminal that was built on this site instead of the museum of decorative arts and that, by lovely coincidence, was converted into one of the world\'s great art museums.';
catalog['Augustus of Primaporta, 1st century C.E. (Vatican Museums) Speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Augustus of Primaporta, 1st century C.E. (Vatican Museums) Speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Austria-Hungary. Ottoman empire. British, German, French and Russian empires'] = 'Austria-Hungary. Ottoman empire. British, German, French and Russian empires';
catalog['Authors@Google: Salman Khan'] = 'Autoren@Google: Salman Khan';
catalog['Autoionization of water into hydronium and hydroxide ions.  pH, pOH, and pKa.'] = 'Eigenionisierung des Wassers in Oxonium- und Hydroxidionen. pH, pOH und pKa.';
catalog['Autonomic nervous system (ANS) and physiologic markers of emotion'] = 'Autonomic nervous system (ANS) and physiologic markers of emotion';
catalog['Autonomic nervous system effects on the heart'] = 'Autonomic nervous system effects on the heart';
catalog['Autonomic vs somatic nervous system'] = 'Autonomic vs somatic nervous system';
catalog['Available Update'] = 'Available Update';
catalog['Average Attempts'] = 'Average Attempts';
catalog['Average Minutes Watched'] = 'Average Minutes Watched';
catalog['Average Points'] = 'Average Points';
catalog['Average Streak'] = 'Average Streak';
catalog['Average costs (ATC, MC) and marginal revenue (MR)'] = 'Durchschnittskosten (ATC, MC) und Grenzumsatz (MR)';
catalog['Average fixed, variable and marginal costs'] = 'Durchschnittliche Fixkosten, variable Kosten und Grenzkosten';
catalog['Average height of a building\'s floor'] = 'Durchschnittliche H\u00f6he des Stockwerks eines Geb\u00e4udes';
catalog['Average rate of change (example 1)'] = 'Durchschnittliche \u00c4nderungsrate (Beispiel 1)';
catalog['Average rate of change (example 2)'] = 'Durchschnittliche \u00c4nderungsrate (Beispiel 2)';
catalog['Average rate of change (example 3)'] = 'Durchschnittliche \u00c4nderungsrate (Beispiel 1)';
catalog['Average rate of change when function defined by equation'] = 'Durchschnittliche \u00c4nderungsrate wenn die Funktion durch eine Gleichung definiert ist';
catalog['Average rate of change'] = 'Durchschnittliche \u00c4nderungsrate';
catalog['Average value of a piecewise-defined function on an interval'] = 'Average value of a piecewise-defined function on an interval';
catalog['Average velocity for constant acceleration'] = 'Average velocity for constant acceleration';
catalog['Average word problems'] = 'Textaufgaben f\u00fcr Mittelwert';
catalog['Averages'] = 'Durchschnitte';
catalog['Avogadro\'s law'] = 'Avogadro\'s law';
catalog['Award winning video introduces human prehistory starting over 200,000 years ago. Who were our first human ancestors? Where did they live?'] = 'Award winning video introduces human prehistory starting over 200,000 years ago. Who were our first human ancestors? Where did they live?';
catalog['Awesome Crash Courses in Biology and World History from John and Hank Green'] = 'Awesome Crash Courses in Biology and World History from John and Hank Green';
catalog['Axis of symmetry'] = 'Symmetrieachse';
catalog['B lymphocytes (B cells)'] = 'B-Lymphocyten (B-Zellen)';
catalog['B\u00f6cklin, Self-Portrait with Death Playing the Fiddle'] = 'B\u00f6cklin, Self-Portrait with Death Playing the Fiddle';
catalog['Baby circulation right after birth'] = 'Baby circulation right after birth';
catalog['Babylonian art: Law code of Hammurabi'] = 'Babylonian art: Law code of Hammurabi';
catalog['Back before the 2008 credit crisis, Sal was perplexed by why housing prices were going up so fast and theorized that it was a bubble forming (he was right).  \n\nThese pre-2008 videos are fun from a historical point-of-view since they were made before all the poo poo hit the fan.'] = 'Vor der Finanzkrise 2008 war Sal verbl\u00fcfft, wie schnell die Immobilienpreise in die H\u00f6he schossen. Er vermutete, dass sich eine Blase bildete (womit er Recht behalten sollte). \nDiese Videos sie sind besonders interessant, weil sie vor der Explosion der Blase 2008 produziert wurden.';
catalog['Back in the day (like medieval Europe), you would actually be thrown in jail if you couldn\'t pay your debts (debtor\'s prison).  That seemed like a pretty awful thing to do (not to mention that lenders are much less likely to be paid by someone rotting in prison), so governments created an "out" called bankruptcy (which, as you\'ll see, is a pseudo-painful "reset" button on your finances).'] = 'Im Mittelalter wurde man noch ins Gef\u00e4ngnis gesperrt, wenn man seine Schulden nicht begleichen konnte ("Schuldgef\u00e4ngnis"). Eine solche Ma\u00dfnahme erscheint nat\u00fcrlich recht drastisch - zudem kann ein Kreditgeber nat\u00fcrlich kaum darauf hoffen, von einem im Gef\u00e4ngnis sitzenden Schuldner Geld zu erhalten. Regierungen haben daher einen Ausweg geschaffen, der als "Insolvenz" bezeichnet wird. Wir werden zeigen, dass eine solche Insolvenz als eine Art "Reset-Knopf" f\u00fcr die Finanzlage eines Schuldners betrachtet werden kann.';
catalog['Back of the envelope calculation of which office space to rent'] = 'Back of the envelope calculation of which office space to rent';
catalog['Back to topics'] = 'Zur\u00fcck zu den Themen';
catalog['Back-of-envelope office space conundrum'] = 'Back-of-envelope office space conundrum';
catalog['Background and introduction to the United States Declaration of Independence'] = 'Background and introduction to the United States Declaration of Independence';
catalog['Backwardation and the theory of Normal Backwardation'] = 'Backwardation and the theory of Normal Backwardation';
catalog['Backwardation bullish or bearish'] = 'Backwardation bullish or bearish';
catalog['Backwardation'] = 'Backwardation';
catalog['Bacon, Triptych - August 1972'] = 'Bacon, Triptych - August 1972';
catalog['Bacteria'] = 'Bakterien';
catalog['Bacterial meningitis'] = 'Bacterial meningitis';
catalog['Bad commute? Baby crying?  Bills to pay?  Looking to take a bath with some Calgon (do a search on YouTube for context) to ease your tension?  This tutorial has nothing (actually little, not nothing) to do with that.\n\nSo far, most of the forces we\'ve been dealing with are forces of "pushing"--contact forces at the macro level because of atoms not wanting to get to close at the micro level.  Now we\'ll deal with "pulling" force or tension (at a micro level this is the force of attraction between bonded atoms).'] = 'Bad commute? Baby crying?  Bills to pay?  Looking to take a bath with some Calgon (do a search on YouTube for context) to ease your tension?  This tutorial has nothing (actually little, not nothing) to do with that.\n\nSo far, most of the forces we\'ve been dealing with are forces of "pushing"--contact forces at the macro level because of atoms not wanting to get to close at the micro level.  Now we\'ll deal with "pulling" force or tension (at a micro level this is the force of attraction between bonded atoms).';
catalog['Bailout 10: Moral hazard'] = 'Bailout 10: Moral hazard';
catalog['Bailout 11: Why these CDOs could be worth nothing'] = 'Bailout 11: Why these CDOs could be worth nothing';
catalog['Bailout 12: Lone Star transaction'] = 'Bailout 12: Lone Star transaction';
catalog['Bailout 13: Does the bailout have a chance of working?'] = 'Bailout 13: Does the bailout have a chance of working?';
catalog['Bailout 14: Possible solution'] = 'Bailout 14: Possible solution';
catalog['Bailout 15: More on the solution'] = 'Bailout 15: More on the solution';
catalog['Bailout 1: Liquidity vs. solvency'] = 'Bailout 1: Liquidity vs. solvency';
catalog['Bailout 2: Book value'] = 'Bailout 2: Book value';
catalog['Bailout 3: Book value vs. market value'] = 'Bailout 3: Book value vs. market value';
catalog['Bailout 4: Mark-to-model vs. mark-to-market'] = 'Bailout 4: Mark-to-model vs. mark-to-market';
catalog['Bailout 5: Paying off the debt'] = 'Bailout 5: Paying off the debt';
catalog['Bailout 6: Getting an equity infusion'] = 'Bailout 6: Getting an equity infusion';
catalog['Bailout 7: Bank goes into bankruptcy'] = 'Bailout 7: Bank goes into bankruptcy';
catalog['Bailout 8: Systemic risk'] = 'Bailout 8: Systemic risk';
catalog['Bailout 9: Paulson\'s plan'] = 'Bailout 9: Paulson\'s plan';
catalog['Balance Sheet and Income Statement Relationship'] = 'Beziehung zwischen Bilanz und Gewinn- und Verlustrechnung';
catalog['Balance of payments- current account and capital account'] = 'Zahlungsbilanz - Leistungsbilanz und Kapitalbilanz';
catalog['Balance of payments.  Current account.  Capital account.  Currency reserves and speculative attacks.'] = 'Zahlungsbilanz.  Leistungsbilanz.  Kapitalbilanz.  W\u00e4hrungsreserven und spekulative Angriffe.';
catalog['Balance of payments: Capital account'] = 'Balance of payments: Capital account';
catalog['Balance of payments: Current account'] = 'Balance of payments: Current account';
catalog['Balance sheet and income statement relationship'] = 'Balance sheet and income statement relationship';
catalog['Balanced and unbalanced forces'] = 'Balanced and unbalanced forces';
catalog['Balancing chemical equations'] = 'Reaktionsgleichungen ausgleichen';
catalog['Balancing redox reactions in acid'] = 'Balancing redox reactions in acid';
catalog['Balancing redox reactions in base'] = 'Balancing redox reactions in base';
catalog['Banking 1'] = 'Bankwesen 1';
catalog['Banking 10:  Introduction to leverage (bad sound)'] = 'Banking 10:  Introduction to leverage (bad sound)';
catalog['Banking 11: A reserve bank'] = 'Banking 11: A reserve bank';
catalog['Banking 12:  Treasuries (government debt)'] = 'Banking 12:  Treasuries (government debt)';
catalog['Banking 13: Open market operations'] = 'Banking 13: Open market operations';
catalog['Banking 14: Fed funds rate'] = 'Banking 14: Fed funds rate';
catalog['Banking 15: More on the Fed funds rate'] = 'Banking 15: More on the Fed funds rate';
catalog['Banking 16: Why target rates vs. money supply'] = 'Banking 16: Why target rates vs. money supply';
catalog['Banking 17: What happened to the gold?'] = 'Banking 17: What happened to the gold?';
catalog['Banking 18: Big picture discussion'] = 'Banking 18: Big picture discussion';
catalog['Banking 2: A bank\'s income statement'] = 'Bankwesen 2: Gewinn- und Verlustrechnung einer Bank';
catalog['Banking 3: Fractional reserve banking'] = 'Banking 3: Fractional reserve banking';
catalog['Banking 4: Multiplier effect and the money supply'] = 'Bankwesen 4: Multiplikator-Effekt und die Geldmenge';
catalog['Banking 5: Introduction to bank notes'] = 'Banking 5: Introduction to bank notes';
catalog['Banking 6: Bank notes and checks'] = 'Banking 6: Bank notes and checks';
catalog['Banking 7: Giving out loans without giving out gold'] = 'Banking 7: Giving out loans without giving out gold';
catalog['Banking 8: Reserve ratios'] = 'Banking 8: Reserve ratios';
catalog['Banking 9: More on reserve ratios (bad sound)'] = 'Banking 9: More on reserve ratios (bad sound)';
catalog['Banking and Money'] = 'Banken und Geld';
catalog['Banking and money'] = 'Banking and money';
catalog['Bar charts are everywhere.  They make it easy for us to compare data and see trends.  \n\nCommon Core Standard: 6.SP.B.4'] = 'Balkendiagramme sind \u00fcberall. Sie machen es uns einfach, Daten zu vergleichen und Trends zu erkennen.\n\nCommon Core Standard: 6.SP.B.4';
catalog['Bar charts'] = 'Balkendiagramme';
catalog['Barberini Faun, c. 220 B.C.E., Hellenistic Period (Glyptothek, Munich). Speakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Barberini Faun, c. 220 B.C.E., Hellenistic Period (Glyptothek, Munich). Speakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Barnett Newman'] = 'Barnett Newman';
catalog['Barnett Newman, Onement I, 1948, oil on canvas ,27 1/4 x 16 1/4" (69.2 x 41.2 cm), The Museum of  Modern Art\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris \n\nhttp://smarthistory.org/barnett-newman.html'] = 'Barnett Newman, Onement I, 1948, oil on canvas ,27 1/4 x 16 1/4" (69.2 x 41.2 cm), The Museum of  Modern Art\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris \n\nhttp://smarthistory.org/barnett-newman.html';
catalog['Baron Antoine-Jean Gros, Napoleon Bonaparte Visiting the Pest House in Jaffa, 1804, oil on canvas, 209 x 280 inches (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Baron Antoine-Jean Gros, Napoleon Bonaparte Visiting the Pest House in Jaffa, 1804, oil on canvas, 209 x 280 inches (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Baroque and Rococo'] = 'Baroque and Rococo';
catalog['Baroque art in Flanders'] = 'Baroque art in Flanders';
catalog['Baroque art in France'] = 'Baroque art in France';
catalog['Baroque art in Holland'] = 'Baroque art in Holland';
catalog['Baroque art in Italy'] = 'Baroque art in Italy';
catalog['Baroque art in Spain'] = 'Baroque art in Spain';
catalog['Baroque painting, sculpture and architecture in Italy seems to miraculously unite the heavenly and the earthly to deepen the faith of believers. We\u2019ll look at the utterly convincing illusions of heaven on the painted ceilings of Il Gesu and St. Ignazio, and the way Caravaggio painted biblical scenes with a gritty realism that makes them look as though they are taking place on the streets of Rome. And of course we explore the great genius of the period, Bernini, who used every means at his disposal\u2014painting, sculpture and architecture\u2014in works like The Ecstasy of St. Theresa and the Cathedra Petri to bring the viewer closer to the divine.'] = 'Baroque painting, sculpture and architecture in Italy seems to miraculously unite the heavenly and the earthly to deepen the faith of believers. We\u2019ll look at the utterly convincing illusions of heaven on the painted ceilings of Il Gesu and St. Ignazio, and the way Caravaggio painted biblical scenes with a gritty realism that makes them look as though they are taking place on the streets of Rome. And of course we explore the great genius of the period, Bernini, who used every means at his disposal\u2014painting, sculpture and architecture\u2014in works like The Ecstasy of St. Theresa and the Cathedra Petri to bring the viewer closer to the divine.';
catalog['Base ten warmup'] = 'Basis Zehn zum Aufw\u00e4rmen';
catalog['Base-catalyzed mechanism for aldol addition and aldol condensation. By Jay.'] = 'Base-catalyzed mechanism for aldol addition and aldol condensation. By Jay.';
catalog['Baseball is Just a Game'] = 'Baseball is Just a Game';
catalog['Basic Rate Problem'] = 'Standardaufgabe zu Zuwachsraten';
catalog['Basic Shorting'] = 'Grundlagen des "Shorting"';
catalog['Basic addition'] = 'Einfache Addition';
catalog['Basic algorithm for Synthetic Division'] = 'Basis-Algorithmus f\u00fcr synthetische Division';
catalog['Basic capital structure differences'] = 'Basic capital structure differences';
catalog['Basic cash flow statement'] = 'Basic cash flow statement';
catalog['Basic complex analysis'] = 'Basic complex analysis';
catalog['Basic construction to get started'] = 'Basic construction to get started';
catalog['Basic difference between traditional open market operations and quantitative easing.'] = 'Basic difference between traditional open market operations and quantitative easing.';
catalog['Basic division'] = 'Grundlegende Division';
catalog['Basic example of simplifying a polynomial expression with multiple variables.'] = 'Einfaches Beispiel zur Vereinfachung eines Polynoms mit mehreren Variablen.';
catalog['Basic fractional exponents'] = 'Grundlagen gebrochene Exponenten';
catalog['Basic idea and definitions of random variables'] = 'Grundidee und Definitionen von Zufallsvariablen';
catalog['Basic implementation of insertion sort algorithm'] = 'Basic implementation of insertion sort algorithm';
catalog['Basic interpretation of the graph of the cosine function'] = 'Einfache Interpretation des Graphen der Kosinus-Funktion';
catalog['Basic introduction to risk and reward'] = 'Basic introduction to risk and reward';
catalog['Basic introduction to what microeconomics and macroeconomics study.  A bit on Adam Smith'] = 'Grundlegende Einf\u00fchrung in was Mikro\u00f6konomie und Makro\u00f6konomie sind. Ein bisschen \u00fcber Adam Smith';
catalog['Basic leveraged buyout (LBO)'] = 'Basic leveraged buyout (LBO)';
catalog['Basic linear equation word problem'] = 'Einfache lineare Gleichungen aus Textaufgaben';
catalog['Basic matrix operations'] = 'Grundlagen der Matrizenoperationen';
catalog['Basic mechanics of monetary and fiscal policy'] = 'Grundlegende Mechanismen der Geld- und Fiskalpolitik';
catalog['Basic multiplication'] = 'Grundlagen der Multiplikation';
catalog['Basic observations leading to homemade batteries'] = 'Grunds\u00e4tzliche Beobachtungen, um Batterien selbst herzustellen';
catalog['Basic of hyperinflation.  Weimar Germany, Hungarian Pengo and Zibabwean Dollar'] = 'Basic of hyperinflation.  Weimar Germany, Hungarian Pengo and Zibabwean Dollar';
catalog['Basic of the deficit, debt and debt ceiling'] = 'Grundlagen \u00fcber das Defizit, Schulden und die Schuldenobergrenze';
catalog['Basic overview of capital and human capital'] = 'Basic overview of capital and human capital';
catalog['Basic overview of hormones and the endocrine system'] = 'Einfache \u00dcbersicht \u00fcber Hormone und das endokrine System';
catalog['Basic overview of what is sometimes referred to as "Obamacare"'] = 'Grundlegende \u00dcbersicht \u00fcber die sogenannte "Obamacare"';
catalog['Basic primer on Newton\'s First Law of Motion'] = 'Grundlegende Einf\u00fchrung in Newtons erstes Gesetz der Bewegung';
catalog['Basic probability'] = 'Grundlegende Wahrscheinlichkeit';
catalog['Basic rate problem'] = 'Standardaufgabe zu Zuwachsraten';
catalog['Basic regrouping when subtracting three digit numbers'] = 'Grundlagen Subtrahieren von 3-stelligen Zahlen mit Zehner\u00fcbergang';
catalog['Basic sequences and series'] = 'Einfache Folgen und Reihen';
catalog['Basic set notation'] = 'Grundsatzvermerk';
catalog['Basic set operations'] = 'Grundlagen der Mengenoperationen';
catalog['Basic shorting'] = 'Basic shorting';
catalog['Basic subtraction'] = 'Grundlegende Subtraktion';
catalog['Basic trig and exponential antiderivatives'] = 'Grundlegende trigonometrische und exponentielle Stammfunktionen';
catalog['Basic trigonometric ratios'] = 'Grundlegende trigonometrische Verh\u00e4ltnisse';
catalog['Basic trigonometry II'] = 'Grundlegende Trigonometrie II';
catalog['Basic trigonometry'] = 'Grundlegende Trigonometrie';
catalog['Basic understanding of Inflation'] = 'Grundlegendes Verst\u00e4ndnis von Inflation';
catalog['Basics of Metabolism'] = 'Grundlagen des Stoffwechsels';
catalog['Basics of US income tax rate schedule'] = 'Basics of US income tax rate schedule';
catalog['Basics of a deflationary spiral'] = 'Basics of a deflationary spiral';
catalog['Basics of chromatography'] = 'Grundlagen der Chromatographie';
catalog['Basics of complementary, supplementary, adjacent and straight angles.  Also touching on what it means to be perpendicular'] = 'Grundlagen zu Komplement\u00e4r- und Supplement\u00e4rwinkeln, angrenzenden und gestreckten Winkeln. Au\u00dferdem wird der Begriff "normal zueinander" umrissen';
catalog['Basics of deflation'] = 'Basics of deflation';
catalog['Basics of dividing with negative numbers'] = 'Grundlagen der Division mit negativen Zahlen';
catalog['Basics of expression with two variables'] = 'Grundlagen von Ausdr\u00fccken mit zwei Variablen';
catalog['Basics of for loops in Python'] = 'Grundlagen der for-Loops in Python';
catalog['Basics of gravity and the Law of Universal Gravitation'] = 'Basics of gravity and the Law of Universal Gravitation';
catalog['Basics of heart disease, heart attacks, heart failure, angina, cardiac arrest.  Special thanks to Edward J Perper, MD for help in clarifying certain aspects of this video.  Licensed under CC-BY-SA'] = 'Basics of heart disease, heart attacks, heart failure, angina, cardiac arrest.  Special thanks to Edward J Perper, MD for help in clarifying certain aspects of this video.  Licensed under CC-BY-SA';
catalog['Basics of how a mortgage back security works'] = 'Basics of how a mortgage back security works';
catalog['Basics of how doctors get paid'] = 'Basics of how doctors get paid';
catalog['Basics of multiplication with negative numbers'] = 'Grundlagen der Multiplikation mit negativen Zahlen';
catalog['Basics of price inflation and the CPI (consumer price index)'] = 'Basics of price inflation and the CPI (consumer price index)';
catalog['Basics of probability and combinatorics'] = 'Grundlagen der Wahrscheinlichkeit und Kombinatorik';
catalog['Basics of quadrilaterals including concave, convex ones.  Parallelograms, rectangles, rhombi and squares'] = 'Grundlagen der Vierecke inklusive konkave und konvexe Vierecke,  Parallelogramme, Rechtecke, Rauten und Quadrate';
catalog['Basics of strokes'] = 'Basics of strokes';
catalog['Basics on how social security works'] = 'Grundlage \u00fcber die USA-Sozialversicherung';
catalog['Basilica of Constantine, Rome, c. 306-312'] = 'Basilica of Constantine, Rome, c. 306-312';
catalog['Basilica of Maxentius and Constantine (Basilica Nova), Roman Forum, c. 306-312<br />\nSpeakers: Dr. Darius Arya and Dr. Beth Harris'] = 'Basilica of Maxentius and Constantine (Basilica Nova), Roman Forum, c. 306-312<br />\nSpeakers: Dr. Darius Arya and Dr. Beth Harris';
catalog['Basilica of Santa Maria Maggiore, Rome, 5th century A.D. \n\nA Smarthistory video with partner Context Travel. Speakers: Dr. Steven Zucker and Richard Bowen.'] = 'Basilica of Santa Maria Maggiore, Rome, 5th century A.D. \n\nA Smarthistory video with partner Context Travel. Speakers: Dr. Steven Zucker and Richard Bowen.';
catalog['Basilica of Santa Sabina, Rome, c. 432.'] = 'Basilica of Santa Sabina, Rome, c. 432.';
catalog['Basis of a subspace'] = 'Basis of a subspace';
catalog['Basketball binomial distribution'] = 'Basketball-Binomialverteilung';
catalog['Batteries power much of our lives (literally).  In this tutorial, we\'ll use our knowledge of oxidation and reduction to understand how Galvanic/Voltaic cells actually work.'] = 'Batteries power much of our lives (literally).  In this tutorial, we\'ll use our knowledge of oxidation and reduction to understand how Galvanic/Voltaic cells actually work.';
catalog['Batteries'] = 'Batterien';
catalog['Batteries/power'] = 'Batteries/power';
catalog['Battery and motor mounts for Spider'] = 'Battery and motor mounts for Spider';
catalog['Battery basics'] = 'Battery basics';
catalog['Battery meter (galvanometer)'] = 'Battery meter (galvanometer)';
catalog['Battery wires'] = 'Battery wires';
catalog['Battle of the Lapiths and Centaurs, Parthenon Metopes,\nsouth flank, marble, c. 440 B.C.E., Classical Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Battle of the Lapiths and Centaurs, Parthenon Metopes,\nsouth flank, marble, c. 440 B.C.E., Classical Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Battle of the Romans and Barbarians (Ludovisi Battle Sarcophagus), c. 250-260 C.E. (Museo Nazionale Romano-Palazzo Altemps, Rome)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Battle of the Romans and Barbarians (Ludovisi Battle Sarcophagus), c. 250-260 C.E. (Museo Nazionale Romano-Palazzo Altemps, Rome)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Battles of Verdun, Somme and the Hindenburg Line'] = 'Battles of Verdun, Somme and the Hindenburg Line';
catalog['Bay Area CBS Station with Salman Khan'] = 'CBS Station der Bay Area mit Salman Khan';
catalog['Bay of Pigs Invasion'] = 'Die Schweinebucht-Invasion';
catalog['Becoming a Red Giant'] = 'Entwicklung zum roten Riesen';
catalog['Becoming a better programmer'] = 'Ein besserer Programmierer werden';
catalog['Becoming a red giant'] = 'Becoming a red giant';
catalog['Before 1300: Ancient and Medieval history'] = 'Before 1300: Ancient and Medieval history';
catalog['Before the small village of Rome became \u201cRome\u201d with a capital R (to paraphrase D.H. Lawrence), a brilliant civilization once controlled almost the entire peninsula we now call Italy. This was the Etruscan civilization, a vanished culture whose achievements set the stage not only for the development of ancient Roman art and culture but for the Italian Renaissance as well.'] = 'Before the small village of Rome became \u201cRome\u201d with a capital R (to paraphrase D.H. Lawrence), a brilliant civilization once controlled almost the entire peninsula we now call Italy. This was the Etruscan civilization, a vanished culture whose achievements set the stage not only for the development of ancient Roman art and culture but for the Italian Renaissance as well.';
catalog['Beginner\'s guide to medieval art'] = 'Beginner\'s guide to medieval art';
catalog['Beginning of World War I'] = 'Beginn des 1. Weltkriegs';
catalog['Beginning of the proof of Bernoulli\'s Equation.'] = 'Beginning of the proof of Bernoulli\'s Equation.';
catalog['Beginning our quest to invert a 3x3 matrix.  We calculate the matrix of minors and the cofactor matrix.'] = 'Der Beginn unseres Strebens eine 3x3-Matrix zu invertieren. Wir berechnen die Minorante und die adjungierte Matrix.';
catalog['Beginning to evaluate which yoga plan is better for me'] = 'Ich fange an zu untersuchen , welcher Yoga-Plan f\u00fcr mich besser zu bewerten ist';
catalog['Beginnings of life'] = 'Beginnings of life';
catalog['Behavior and genetics - Passage 1'] = 'Behavior and genetics - Passage 1';
catalog['Behavior and genetics - Passage 2'] = 'Behavior and genetics - Passage 2';
catalog['Behavior and genetics'] = 'Behavior and genetics';
catalog['Behavior influences attitude'] = 'Behavior influences attitude';
catalog['Behavior'] = 'Verhalten';
catalog['Behavioral theory'] = 'Behavioral theory';
catalog['Behind the Scenes | Isaac Julien: Ten Thousand Waves | MoMA'] = 'Behind the Scenes | Isaac Julien: Ten Thousand Waves | MoMA';
catalog['Behind the scenes at MoMA'] = 'Hinter den Kulissen des MoMA';
catalog['Being Heard and Giving Others a Voice'] = 'Being Heard and Giving Others a Voice';
catalog['Being persistent and setting goals are two of the most important tools for success.'] = 'Being persistent and setting goals are two of the most important tools for success.';
catalog['Beliefs made visible Buddhist art in South Asia (part 2 of 2) '] = 'Beliefs made visible Buddhist art in South Asia (part 2 of 2) ';
catalog['Beliefs made visible: Hindu art in South Asia (part 1 of 2) '] = 'Beliefs made visible: Hindu art in South Asia (part 1 of 2) ';
catalog['Bellini and Titian, the Feast of the Gods'] = 'Bellini and Titian, the Feast of the Gods';
catalog['Bellini, San Giobbe Altarpiece, c. 1485'] = 'Bellini, San Giobbe Altarpiece, c. 1485';
catalog['Bellini, St. Francis'] = 'Bellini, St. Francis';
catalog['Bellows, Pennsylvania Station Excavation, c. 1907-8'] = 'Bellows, Pennsylvania Station Excavation, c. 1907-8';
catalog['Ben Eater and Sal Khan talk through the Khan Academy Standard Deviation 1 Module: http://www.khanacademy.org/math/statistics/e/exploring_standard_deviation_1'] = 'Bean Eater und Sal Khan gehen das Khan Academy Standardabweichungs Modul 1 durch: http://www.khanacademy.org/math/statistics/e/exploring_standard_deviation_1';
catalog['Ben Eater and Sal walk through the "Fundamental theorem of arithmetic" module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/the_fundamental_theorem_of_arithmetic'] = 'Ben Eater und Sal gehen den "Fundamentalsatz der Arithmetik" durch: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/the_fundamental_theorem_of_arithmetic';
catalog['Ben Eater and Sal work through the mean and median module: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median'] = 'Ben Eater und Sal arbeiten das Modul "Durchschnitt und Median" durch: http://www.khanacademy.org/math/statistics/e/exploring_mean_and_median';
catalog['Ben Eater\'s Spider'] = 'Ben Eater\'s Spider';
catalog['Ben Milne - CEO of Dwolla'] = 'Ben Milne - CEO von Dwolla';
catalog['Ben Milne - Importance of Curiosity'] = 'Ben Milne - Importance of Curiosity';
catalog['Ben Milne, CEO of Dwolla, discusses his motivation in founding his company and the excitement of starting something new. Ben advocates for the idea that failure, which can happen in big and small ways, does not have to be your legacy.&nbsp;'] = 'Ben Milne, CEO of Dwolla, discusses his motivation in founding his company and the excitement of starting something new. Ben advocates for the idea that failure, which can happen in big and small ways, does not have to be your legacy.&nbsp;';
catalog['Ben Milne, CEO of Dwolla, discusses his motivation in founding his company and the excitement of starting something new. Ben advocates for the idea that failure, which can happen in big and small ways, does not have to be your legacy.'] = 'Ben Milne, CEO of Dwolla, discusses his motivation in founding his company and the excitement of starting something new. Ben advocates for the idea that failure, which can happen in big and small ways, does not have to be your legacy.';
catalog['Ben Milne, CEO of Dwolla, discusses how tinkering and trying to figure out how the world works can lead to being a successful producer rather than just a consumer. Ben also addresses the importance of surrounding yourself with the right people to work on a problem that&rsquo;s meaningful to you.&nbsp;'] = 'Ben Milne, CEO of Dwolla, discusses how tinkering and trying to figure out how the world works can lead to being a successful producer rather than just a consumer. Ben also addresses the importance of surrounding yourself with the right people to work on a problem that&rsquo;s meaningful to you.&nbsp;';
catalog['Benchmark angles'] = 'Winkel von Bezugspunkten';
catalog['Benefits Enrollment-401K and Clipper'] = 'Benefits Enrollment-401K and Clipper';
catalog['Benefits Enrollment-Insurance'] = 'Benefits Enrollment-Insurance';
catalog['Benford\'s law explanation (sequel to mysteries of Benford\'s law)'] = 'Erkl\u00e4rung des Benfordschen Gesetzes (Fortsetzung zu den R\u00e4tseln des Benfordschen Gesetzes)';
catalog['Benjamin Franklin (and several other writers/philosophers) tells us that "In this world nothing can be said to be certain, except death and taxes."  He\'s right.  \n\nThis tutorial focus on personal income tax.  Very important to watch if you ever plan on earning money (some of which the government will take for itself).'] = 'Benjamin Franklin (und viele andere Autoren) hat einmal gesagt, dass "nichts in dieser Welt sicher ist, au\u00dfer dem Tod und den Steuern". Er hat Recht. \nIn dieser \u00dcbung besch\u00e4ftigen wir uns mit der Einkommenssteuer. Dieses Kapitel ist wichtig f\u00fcr alle, die irgendwann einmal Geld verdienen wollen (von dem sich der Staat einen Anteil nehmen wird).';
catalog['Benjamin Franklin and Poor Richard\'s Almanac'] = 'Benjamin Franklin and Poor Richard\'s Almanac';
catalog['Benjamin Franklin as diplomat and founding father'] = 'Benjamin Franklin as diplomat and founding father';
catalog['Benjamin Franklin becomes a writer'] = 'Benjamin Franklin becomes a writer';
catalog['Benjamin and Bryn talk about demons in Cenni\'s <em><a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=646" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=646">Coronation of the Virgin and Saints</a>.</em> This is&nbsp;from a&nbsp;tour at the Getty Center: The Supernatural in Art. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'Benjamin and Bryn talk about demons in Cenni\'s <em><a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=646" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=646">Coronation of the Virgin and Saints</a>.</em> This is&nbsp;from a&nbsp;tour at the Getty Center: The Supernatural in Art. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['Benjamin and Devin talk about angels made by an English artist in about 1420-30. This is from an imaginative&nbsp;tour at the Getty Center: The Supernatural in Art. <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'Benjamin and Devin talk about angels made by an English artist in about 1420-30. This is from an imaginative&nbsp;tour at the Getty Center: The Supernatural in Art. <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['Benjamin and Riley talk about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1336" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1336">Vincenzo Gemito\'s <em>Medusa</em>, 1911</a>: This is from an imaginative&nbsp;tour at the Getty Center: The Supernatural in Art.&nbsp;Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'Benjamin and Riley talk about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1336" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1336">Vincenzo Gemito\'s <em>Medusa</em>, 1911</a>: This is from an imaginative&nbsp;tour at the Getty Center: The Supernatural in Art.&nbsp;Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['Benvenuto Cellini, Perseus with the Head of Medusa, c. 1554, bronze (Loggia dei Lanzi, Piazza della Signoria, Florence)'] = 'Benvenuto Cellini, Perseus with the Head of Medusa, c. 1554, bronze (Loggia dei Lanzi, Piazza della Signoria, Florence)';
catalog['Berlinghieri\'s St. Francis altarpiece'] = 'Berlinghieri\'s St. Francis altarpiece';
catalog['Bernini, Apollo and Daphne'] = 'Bernini, Apollo and Daphne';
catalog['Bernini, Apollo and Daphne, 1622-25 (Galleria Borghese, Rome)\n\nVoices: Dr. Beth Harris and Dr. Steven Zucker'] = 'Bernini, Apollo and Daphne, 1622-25 (Galleria Borghese, Rome)\n\nVoices: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Bernini, Bust of Medusa'] = 'Bernini, Bust of Medusa';
catalog['Bernini, Cathedra Petri  (Chair of St. Peter)'] = 'Bernini, Cathedra Petri  (Chair of St. Peter)';
catalog['Bernini, David'] = 'Bernini, David';
catalog['Bernini, Ecstasy of Saint Teresa'] = 'Bernini, Ecstasy of Saint Teresa';
catalog['Bernini, Pluto and Proserpina'] = 'Bernini, Pluto and Proserpina';
catalog['Bernini, Saint Peter\'s Square'] = 'Bernini, Saint Peter\'s Square';
catalog['Bernini, Sant\'Andrea al Quirinale'] = 'Bernini, Sant\'Andrea al Quirinale';
catalog['Bernoulli Distribution Mean and Variance Formulas'] = 'Formeln f\u00fcr Erwartungswert und Varianz bei Bernoulli Verteilung';
catalog['Bernoulli distribution mean and variance formulas'] = 'Formeln f\u00fcr Erwartungswert und Varianz bei Bernoulli Verteilung';
catalog['Bernoulli distributions and margin of error'] = 'Bernoulli-Verteilung und die Fehlerquote';
catalog['Bernoulli\'s equation of total energy'] = 'Bernoulli\'s equation of total energy';
catalog['Berthe Morisot, The Mother and Sister of the Artist, c. 1869/1870, oil on canvas\n39 3/4 x 32 3/16 in. (101 x 81.8 cm), (National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://smarthistory.org/morisots-mother-and-sister-of-the-artist.html'] = 'Berthe Morisot, The Mother and Sister of the Artist, c. 1869/1870, oil on canvas\n39 3/4 x 32 3/16 in. (101 x 81.8 cm), (National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://smarthistory.org/morisots-mother-and-sister-of-the-artist.html';
catalog['Best practices (higher education math)'] = 'Best practices (higher education math)';
catalog['Beta-lactam antibiotics'] = 'Beta-lactam antibiotics';
catalog['Beth Harris, Sal Khan and Steven Zucker discuss art and institutional critique in relation to Hans Haacke\'s Seurat\'s \'Les Poseuses\' (small version), 1884-1975 from 1975.'] = 'Beth Harris, Sal Khan and Steven Zucker discuss art and institutional critique in relation to Hans Haacke\'s Seurat\'s \'Les Poseuses\' (small version), 1884-1975 from 1975.';
catalog['Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, "The Physical Impossibility of Death in the Mind of Someone Living," and issues of interpretation.'] = 'Beth Harris, Sal Khan and Steven Zucker discuss the Damien Hirst sculpture, "The Physical Impossibility of Death in the Mind of Someone Living," and issues of interpretation.';
catalog['Between perfect competition and monopoly'] = 'Zwischen vollkommenen M\u00e4rkten und Monopolen';
catalog['Bhaskara\'s proof of the Pythagorean theorem'] = 'Bhaskaras Beweis f\u00fcr den Satz des Pythagoras';
catalog['Bicyclic compounds'] = 'Bicyclic compounds';
catalog['Big Bang, Really?!'] = 'Big Bang, Really?!';
catalog['Big Guns: The Muscular System'] = 'Echte Knaller: Muskulatur';
catalog['Big History Project'] = 'Big History Project';
catalog['Big History will introduce you to many new ideas and claims. You won\u2019t simply accept these claims as facts and move on. You\u2019ll be encouraged to test them. You\u2019ll learn how to evaluate information presented to you, and be encouraged to decide for yourself what to believe and what to investigate further.'] = 'Big History will introduce you to many new ideas and claims. You won\u2019t simply accept these claims as facts and move on. You\u2019ll be encouraged to test them. You\u2019ll learn how to evaluate information presented to you, and be encouraged to decide for yourself what to believe and what to investigate further.';
catalog['Big Questions in Modern & Contemporary Art'] = 'Big Questions in Modern & Contemporary Art';
catalog['Big Questions'] = 'Big Questions';
catalog['Big bang and expansion of the universe'] = 'Urknall und die Ausdehnung des Universums';
catalog['Big bang introduction'] = 'Big bang introduction';
catalog['Big history is not yet finished. How might the lessons of the past eight thresholds inform our expectations for the future? What role will you play in shaping the next threshold of the big history?<br>'] = 'Big history is not yet finished. How might the lessons of the past eight thresholds inform our expectations for the future? What role will you play in shaping the next threshold of the big history?<br>';
catalog['Big picture of how money enters circulation and how lending can increase the money supply'] = 'Big picture of how money enters circulation and how lending can increase the money supply';
catalog['Big picture talks and media'] = 'Gro\u00dfe Bildvortr\u00e4ge und Medien';
catalog['Big questions in modern and contemporary art'] = 'Big questions in modern and contemporary art';
catalog['Biking to a friend'] = 'Mit dem Fahrrad zu einem Freund fahren';
catalog['Bill Gates talks about the Khan Academy at Aspen Ideas Festival 2010'] = 'Bill Gates spricht \u00fcber die Khan Academy auf dem Aspen Ideen Festival 2010';
catalog['Bill Gates talks about the Khan Academy on the Gates Notes'] = 'Bill Gates spricht \u00fcber die Khan Academy auf den "Gates Notes"';
catalog['Bill Gates: Visions of the future'] = 'Bill Gates: Visions of the future';
catalog['Billowing clouds of matter spun around and around our young Sun, gradually forming just about everything in our Solar System \u2013 from meteors and asteroids to all the planets and moons. One planet in particular would enable the creation of even more remarkable complexity.'] = 'Billowing clouds of matter spun around and around our young Sun, gradually forming just about everything in our Solar System \u2013 from meteors and asteroids to all the planets and moons. One planet in particular would enable the creation of even more remarkable complexity.';
catalog['Binary hand dance'] = 'Binary hand dance';
catalog['Binary numbers'] = 'Bin\u00e4rzahlen';
catalog['Binomial distribution 1'] = 'Binomialverteilung 1';
catalog['Binomial distribution 2'] = 'Binomialverteilung 2';
catalog['Binomial distribution 3'] = 'Binomialverteilung 3';
catalog['Binomial distribution 4'] = 'Binomialverteilung 4';
catalog['Binomial distribution'] = 'Binominalverteilung';
catalog['Binomial theorem combinatorics connection'] = 'Binomial theorem combinatorics connection';
catalog['Binomial theorem'] = 'Binomische Formeln';
catalog['Biodiveristy hotspot case study:  Galapagos'] = 'Biodiveristy hotspot case study:  Galapagos';
catalog['Biodiversity Expeditions Past and Present'] = 'Biodiversity Expeditions Past and Present';
catalog['Biodiversity Hotspots'] = 'Biodiversity Hotspots';
catalog['Biodiversity and ecosystem function'] = 'Biodiversity and ecosystem function';
catalog['Biodiversity and ecosystem services'] = 'Biodiversity and ecosystem services';
catalog['Biodiversity distribution patterns'] = 'Biodiversity distribution patterns';
catalog['Biodiversity fieldwork'] = 'Biodiversity fieldwork';
catalog['Biodiversity flourishes in Phanerozoic eon'] = 'Biodiversity flourishes in Phanerozoic eon';
catalog['Biodiversity hotspot case study:  California'] = 'Biodiversity hotspot case study:  California';
catalog['Biodiversity hotspot case study: Madagascar'] = 'Biodiversity hotspot case study: Madagascar';
catalog['Biological Molecules - you are what you eat'] = 'Biologische Molek\u00fcle - du bist was du isst';
catalog['Biological and Sociocultural Factors Food, Sex, and Drugs'] = 'Biological and Sociocultural Factors Food, Sex, and Drugs';
catalog['Biological basis of behavior: Endocrine system - Passage 1'] = 'Biological basis of behavior: Endocrine system - Passage 1';
catalog['Biological basis of behavior: Endocrine system - Passage 2'] = 'Biological basis of behavior: Endocrine system - Passage 2';
catalog['Biological basis of behavior: Endocrine system'] = 'Biological basis of behavior: Endocrine system';
catalog['Biological redox reactions of alcohols and phenols'] = 'Biological redox reactions of alcohols and phenols';
catalog['Biological redox reactions'] = 'Biologische Redoxreaktionen';
catalog['Biological theory'] = 'Biological theory';
catalog['Biology'] = 'Biologie';
catalog['Biomolecules'] = 'Biomolek\u00fcle';
catalog['Birch reduction I'] = 'Birch reduction I';
catalog['Birch reduction II'] = 'Birch reduction II';
catalog['Birth of Stars'] = 'Geburt der Sterne';
catalog['Birth of stars'] = 'Birth of stars';
catalog['Birth of the US Constitution'] = 'Birth of the US Constitution';
catalog['Birth of the gothic: Abbot Suger and the ambulatory at St. Denis'] = 'Birth of the gothic: Abbot Suger and the ambulatory at St. Denis';
catalog['Birthday probability problem'] = 'Geburtstagsparadoxon';
catalog['Bit-zee Bot'] = 'Bit-zee Bot';
catalog['Bit-zee goes to school'] = 'Bit-zee goes to school';
catalog['Bit-zee is a project designed to inspire students to explore math and science. It was created from everyday items (a hair dryer, tap light, alarm clock, digital camera, and a universal remote). See the following link for help with the code https://sites.google.com/site/khanacademyprojects/home'] = 'Bit-zee is a project designed to inspire students to explore math and science. It was created from everyday items (a hair dryer, tap light, alarm clock, digital camera, and a universal remote). See the following link for help with the code https://sites.google.com/site/khanacademyprojects/home';
catalog['Bit-zeeeeeeeeeee (long version)'] = 'Bit-zeeeeeeeeeee (long version)';
catalog['Bit-zeeeeeeeeeee'] = 'Bit-zeeeeeeeeeee';
catalog['Bitcoin'] = 'Bitcoin';
catalog['Bitcoin: Cryptographic hash functions'] = 'Bitcoin: Kryptografische Hash-Funktionen';
catalog['Bitcoin: Digital signatures'] = 'Bitcoin: Digitale Signaturen';
catalog['Bitcoin: Overview'] = 'Bitcoin: \u00dcbersicht';
catalog['Bitcoin: Proof of work'] = 'Bitcoin: Proof of work';
catalog['Bitcoin: The money supply'] = 'Bitcoin: The money supply';
catalog['Bitcoin: The security of transaction block chains'] = 'Bitcoin: The security of transaction block chains';
catalog['Bitcoin: Transaction block chains'] = 'Bitcoin: Transaction block chains';
catalog['Bitcoin: Transaction records'] = 'Bitcoin: Transaction records';
catalog['Bitcoin: What is it?'] = 'Bitcoin: Was ist das?';
catalog['Bitwise operators'] = 'Bitwise operators';
catalog['Black Holes'] = 'Schwarze L\u00f6cher';
catalog['Black holes'] = 'Black holes';
catalog['Black-Scholes Formula'] = '"Black-Scholes" Formel';
catalog['Black-Scholes formula'] = 'Black-Scholes formula';
catalog['Blended learning facilities and furniture'] = 'Blended learning facilities and furniture';
catalog['Blended learning hardware and infrastructure'] = 'Blended learning hardware and infrastructure';
catalog['Blended learning software'] = 'Blended learning software';
catalog['Block of wood kept stationary by the force of friction (Correction made in next video)'] = 'Block of wood kept stationary by the force of friction (Correction made in next video)';
catalog['Blockades and American entry'] = 'Blockades and American entry';
catalog['Blockades, u-boats and sinking of the Lusitania'] = 'Blockades, u-boats and sinking of the Lusitania';
catalog['Blocks Naomi walks to school'] = 'Naomis Schulweg';
catalog['Blood Pressure Control'] = 'Blutdruckkontrolle';
catalog['Blood Pressure'] = 'Blutdruck';
catalog['Blood Vessel Diseases'] = 'Erkrankungen der Blutgef\u00e4\u00dfe';
catalog['Blood Vessels'] = 'Blutgef\u00e4\u00dfe';
catalog['Blood drive'] = 'Die Blutspendenfahrt';
catalog['Blood pressure changes over time'] = '\u00c4nderungen des Blutdrucks \u00fcber die Zeit';
catalog['Blood pressure control'] = 'Blood pressure control';
catalog['Blood pressure'] = 'Blutdruck';
catalog['Blood sugar levels'] = 'Blood sugar levels';
catalog['Blood vessel diseases'] = 'Erkrankungen der Blutgef\u00e4\u00dfe';
catalog['Blood vessels'] = 'Blutgef\u00e4\u00dfe';
catalog['Blue Cross and Blue Shield'] = 'Blue Cross and Blue Shield';
catalog['Blue forehead room brain teaser'] = 'Blue forehead room brain teaser';
catalog['Blue forehead room solution'] = 'Blue forehead room solution';
catalog['Blue gangster demon'] = 'Blue gangster demon';
catalog['Blueberries for friends'] = 'Heidelbeeren f\u00fcr Freunde';
catalog['Bodh Gaya: center of the Buddhist world'] = 'Bodh Gaya: center of the Buddhist world';
catalog['Bodhisattva, probably Avalokiteshvara (Guanyin), Northern Qi dynasty, c. 550-60, Shanxi Province, China, sandstone with pigments, 13-3/4 feet / 419.1 cm high (Metropolitan Museum of Art, New York)'] = 'Bodhisattva, probably Avalokiteshvara (Guanyin), Northern Qi dynasty, c. 550-60, Shanxi Province, China, sandstone with pigments, 13-3/4 feet / 419.1 cm high (Metropolitan Museum of Art, New York)';
catalog['Bohr effect vs. Haldane effect'] = 'Bohr effect vs. Haldane effect';
catalog['Boiling point elevation and freezing point depression'] = 'Boiling point elevation and freezing point depression';
catalog['Bonaventura Berlinghieri, Altarpiece of St. Francis, c. 1235 (Church of San Francesco,\nPescia, Italy)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Bonaventura Berlinghieri, Altarpiece of St. Francis, c. 1235 (Church of San Francesco,\nPescia, Italy)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Bond-line structures'] = 'Skelettformeln';
catalog['Bonds vs. stocks'] = 'Bonds vs. stocks';
catalog['Bonds'] = 'Anleihen';
catalog['Bone, flesh, skin: The making of Japanese lacquer'] = 'Bone, flesh, skin: The making of Japanese lacquer';
catalog['Bonheur, Plowing in the Nivernais'] = 'Bonheur, Plowing in the Nivernais';
catalog['Bonheur, Sheep in the Highlands'] = 'Bonheur, Sheep in the Highlands';
catalog['Bored angel and twin'] = 'Bored angel and twin';
catalog['Borromean Onion Rings, the perfect way to top your Green Bean Matherole! Borromean onion rings were invented by special guest Marc ten Bosch (http://marctenbosch.com). Also shown are gelatinous cranberry cylinder, bread spheres and butter prism, mathed potatoes, apple pie, and pumpkin tau.\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw'] = 'Borromean Onion Rings, the perfect way to top your Green Bean Matherole! Borromean onion rings were invented by special guest Marc ten Bosch (http://marctenbosch.com). Also shown are gelatinous cranberry cylinder, bread spheres and butter prism, mathed potatoes, apple pie, and pumpkin tau.\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw';
catalog['Borromean onion rings'] = 'Borromean onion rings';
catalog['Borromini, San Carlo alle Quattro Fontane'] = 'Borromini, San Carlo alle Quattro Fontane';
catalog['Borrowing once example 1'] = 'Einmal ausborgen - Beispiel 1';
catalog['Borrowing once example 2'] = 'Einmal ausborgen - Beispiel 2';
catalog['Bosch, the Last Judgment'] = 'Bosch, the Last Judgment';
catalog['Both bounds being a function of x'] = 'Both bounds being a function of x';
catalog['Both corporations and governments can borrow money by selling bonds.  This tutorial explains how this works and how bond prices relate to interest rates.  In general, understanding this not only helps you with your own investing, but gives you a lens on the entire global economy.'] = 'Unternehmen und Regierungen k\u00f6nnen sich Geld leihen indem sie Anleihen verkaufen. Dieses Tutorial erkl\u00e4rt wie das geht und wie Anleihen-Preise mit Zinss\u00e4tzen verkn\u00fcpft sind. Das wird dir nicht nur bei deinen eigenen Investments helfen, sondern dir auch ein Verst\u00e4ndnis f\u00fcr die globalen Wirtschaft geben.';
catalog['Both fractions and decimals are desperate to capture that little part of our heart that desires to express non-whole numbers.  But must we commit?  Can\'t we have business in the front and party in the back (younger people should look up the word "mullet" to see a hair-style worth considering for your next trip to the barber)?  Can\'t it look like a pump, but feel like a sneaker?  Well, if 18-wheelers can turn into self-righteous robots, then why can\'t decimals and fractions turn into each other?'] = 'Br\u00fcchen und Dezimalzahlen versuchen verzweifelt, den kleinen Teil unseres Herzens zu erfassen, der nicht-ganze Zahlen ausdr\u00fccken m\u00f6chte. Aber m\u00fcssen wir uns festlegen?  K\u00f6nnen wir nicht die Party hinter der Fassade der Firma haben (j\u00fcngere Menschen sollte das Wort "Vokuhila" nachschlagen, um einen Vorschlag f\u00fcr den n\u00e4chsten Friseurbesuch zu sehen)? Kann es nicht aussehen wie Pumps und sich wie ein Turnschuh anf\u00fchlen?  Nun, wenn Trucks sich in rechtschaffende Roboter verwandeln k\u00f6nnen, warum dann nicht auch Dezimalzahlen in Br\u00fcche und umgekehrt?\n';
catalog['Botticelli, Birth of Venus'] = 'Botticelli, Birth of Venus';
catalog['Botticelli, La Primavera (Spring), 1481-1482, tempera on panel, 80 x 123 1/2" (203 x 314), Uffizi, Florence\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://khan.smarthistory.org/botticelli-primavera.html'] = 'Botticelli, La Primavera (Spring), 1481-1482, tempera on panel, 80 x 123 1/2" (203 x 314), Uffizi, Florence\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://khan.smarthistory.org/botticelli-primavera.html';
catalog['Botticelli, Primavera'] = 'Botticelli, Primavera';
catalog['Botticelli, The Birth of Venus, 1483-85, tempera on panel, 68 x 109 5/8" (172.5 x 278.5 cm), Uffizi, Florence\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Botticelli, The Birth of Venus, 1483-85, tempera on panel, 68 x 109 5/8" (172.5 x 278.5 cm), Uffizi, Florence\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Bottlenecks and the environment'] = 'Bottlenecks and the environment';
catalog['Bottom-up vs. top-down processing'] = 'Bottom-up vs. top-down processing';
catalog['Boucher, Madame de Pompadour'] = 'Boucher, Madame de Pompadour';
catalog['Boucher, Venus Consoling Love'] = 'Boucher, Venus Consoling Love';
catalog['Bouncing Droplets: Superhydrophobic and Superhydrophilic Surfaces'] = 'Bouncing Droplets: Superhydrophobic and Superhydrophilic Surfaces';
catalog['Box and whisker plots'] = 'Box-whisker-Plots';
catalog['Box-and-Whisker Plots'] = 'Box-and-whisker plots';
catalog['Box-and-whisker plots'] = 'Box-and-whisker plots';
catalog['Boyle\'s law'] = 'Boyle\'s law';
catalog['Brain teasers'] = 'Denksportaufgaben';
catalog['Brainwave Sep 2011'] = 'Geistesblitz Sep 2011';
catalog['Bramante, Tempietto'] = 'Bramante, Tempietto';
catalog['Bramante, et.al., Saint Peter\'s Basilica'] = 'Bramante, et.al., Saint Peter\'s Basilica';
catalog['Brancusi, Bird in Space'] = 'Brancusi, Bird in Space';
catalog['Braque, The Viaduct at L\'Estaque'] = 'Braque, The Viaduct at L\'Estaque';
catalog['Bread mold kills bacteria'] = 'Bread mold kills bacteria';
catalog['Breakdown of gas prices'] = 'Breakdown of gas prices';
catalog['Breaking apart a larger surface into its components'] = 'Breaking apart a larger surface into its components';
catalog['Breaking down vectors into components'] = 'Breaking down vectors into components';
catalog['Breaking up the surface integral'] = 'Breaking up the surface integral';
catalog['Breast Anatomy'] = 'Anatomie der Brust';
catalog['Breastfeeding - Letdown Reflex'] = 'Breastfeeding - Letdown Reflex';
catalog['Breastfeeding'] = 'Stillen';
catalog['Breathing Basics'] = 'Grundlagen der Atmung';
catalog['Breathing Control'] = 'Breathing Control';
catalog['Breathing control'] = 'Breathing control';
catalog['Brian Lehrer Interview with Salman Khan'] = 'Brian Lehrer interviewt Salman Khan';
catalog['Bridge Design (and Destruction!) Part 2'] = 'Bridge Design (and Destruction!) Part 2';
catalog['Bridge Design and Destruction! (part 1)'] = 'Bridge Design and Destruction! (part 1)';
catalog['Bridging algebra and geometry.  What makes linear equations so linear.'] = '\u00dcberbr\u00fcckung von Algebra und Geometrie.  Was macht lineare Gleichungen so linear.';
catalog['Brief overview of Charlemagne and his coronation in 800.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Brief overview of Charlemagne and his coronation in 800.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Bringing it all together'] = 'Wie alles zusammenh\u00e4ngt';
catalog['Bringing the set operations together'] = 'Mengenoperationen zusammenf\u00fchren';
catalog['Brit explains the Caesar cipher, the first popular substitution cipher, and shows how it was broken with &quot;frequency analysis&quot;'] = 'Brit explains the Caesar cipher, the first popular substitution cipher, and shows how it was broken with &quot;frequency analysis&quot;';
catalog['Brit introduces the polyalphabetic cipher, which creates a lighter fingerprint than the Caesar cipher.'] = 'Brit introduces the polyalphabetic cipher, which creates a lighter fingerprint than the Caesar cipher.';
catalog['Britain & America in the Age of Revolution'] = 'Britain & America in the Age of Revolution';
catalog['Britain and America in the Age of Revolutions (Reynolds, Copley, Peale)\n\tIt was hard to be an artist in America during the colonial period, and for decades after too. There were no real art schools, no grand tradition of art, and no wealthy aristocratic patrons to commission heroic subjects. Americans were practical, and they wanted portraits\u2014and not paintings of classical mythology (which didn\u2019t always make American artists, at least those with wider ambitions, happy). As you\u2019ll learn in this tutorial, Copley was the greatest American portrait painter of the period, and Peale, who studied with Copley, painted portraits of American heroes such as George Washington, Thomas Jefferson and Benjamin Franklin, and founded what became the first real American art museum. American artists looked to England for support and inspiration, often to the older Sir Joshua Reynolds, who was the painter to the King, and first President of the Royal Academy in London.'] = 'Britain and America in the Age of Revolutions (Reynolds, Copley, Peale)\n\tIt was hard to be an artist in America during the colonial period, and for decades after too. There were no real art schools, no grand tradition of art, and no wealthy aristocratic patrons to commission heroic subjects. Americans were practical, and they wanted portraits\u2014and not paintings of classical mythology (which didn\u2019t always make American artists, at least those with wider ambitions, happy). As you\u2019ll learn in this tutorial, Copley was the greatest American portrait painter of the period, and Peale, who studied with Copley, painted portraits of American heroes such as George Washington, Thomas Jefferson and Benjamin Franklin, and founded what became the first real American art museum. American artists looked to England for support and inspiration, often to the older Sir Joshua Reynolds, who was the painter to the King, and first President of the Royal Academy in London.';
catalog['British art saw a return to the classical after the 1860s, not just in terms of style, but also subject matter. Alma Tadema created sensual Victorian visions of the ancient Greeks and Romans, and Leighton too rendered classicizing figures and subjects. Both of these artists, together with Sargent, were influenced by the Aesthetic Movement, where the subject or narrative of a work of art was minimized in favor of a focus on issues of form (color harmonies, line, composition).'] = 'British art saw a return to the classical after the 1860s, not just in terms of style, but also subject matter. Alma Tadema created sensual Victorian visions of the ancient Greeks and Romans, and Leighton too rendered classicizing figures and subjects. Both of these artists, together with Sargent, were influenced by the Aesthetic Movement, where the subject or narrative of a work of art was minimized in favor of a focus on issues of form (color harmonies, line, composition).';
catalog['Bronze Casting\n\nSpeakers: Dr. Beth Harris, Dr. David Drogin\n\nhttp://smarthistory.org/bronze-casting.html'] = 'Bronze Casting\n\nSpeakers: Dr. Beth Harris, Dr. David Drogin\n\nhttp://smarthistory.org/bronze-casting.html';
catalog['Bronze casting'] = 'Bronze casting';
catalog['Bronze doors, Saint Michael\'s, Hildesheim, commissioned by Bishop Bernward, 1015'] = 'Bronze doors, Saint Michael\'s, Hildesheim, commissioned by Bishop Bernward, 1015';
catalog['Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Bronze, a combination of copper, tin, and other metals, has long been prized for its ability to register fine details. Watch indirect lost-wax casting, a technique developed by artists in the 1500s. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Bronzino and the Mannerist Portrait'] = 'Bronzino and the Mannerist Portrait';
catalog['Bronzino, Portrait of Eleonora di Toledo with her son Giovanni'] = 'Bronzino, Portrait of Eleonora di Toledo with her son Giovanni';
catalog['Bronzino, Portrait of Eleonora di Toledo with her son Giovanni, 1544-1545, oil on panel, 115.00 x 96.00 cm (Galleria degli Uffizi)'] = 'Bronzino, Portrait of Eleonora di Toledo with her son Giovanni, 1544-1545, oil on panel, 115.00 x 96.00 cm (Galleria degli Uffizi)';
catalog['Bronzino, Portrait of a Young Man, oil on panel, 1530s (Metropolitan Museum of Art)\nBronzino, Lodovico Capponi, Oil on panel, 1550-55 (Frick Collection)\n\nSpeakers: David Drogin and Beth Harris'] = 'Bronzino, Portrait of a Young Man, oil on panel, 1530s (Metropolitan Museum of Art)\nBronzino, Lodovico Capponi, Oil on panel, 1550-55 (Frick Collection)\n\nSpeakers: David Drogin and Beth Harris';
catalog['Bronzino, an Allegory with Venus and Cupid'] = 'Bronzino, an Allegory with Venus and Cupid';
catalog['Brooklyn Biombo'] = 'Brooklyn Biombo';
catalog['Browse and install language packs to get UI translations, subtitles, and more.'] = 'Browse and install language packs to get UI translations, subtitles, and more.';
catalog['Bruegel, Tower of Babel'] = 'Bruegel, der Turm von Babel';
catalog['Bruegel, the Dutch Proverbs'] = 'Bruegel, the Dutch Proverbs';
catalog['Brunelleschi & Ghiberti, Sacrifice of Isaac, competition panels for the second set of bronze doors for the Florence Baptistery, 1401-2\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Brunelleschi & Ghiberti, Sacrifice of Isaac, competition panels for the second set of bronze doors for the Florence Baptistery, 1401-2\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Brunelleschi & Ghiberti, the Sacrifice of Isaac'] = 'Brunelleschi & Ghiberti, the Sacrifice of Isaac';
catalog['Brunelleschi, Dome of the Cathedral of Florence, 1420-36\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Brunelleschi, Dome of the Cathedral of Florence, 1420-36\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Brunelleschi, Dome'] = 'Brunelleschi, Dome';
catalog['Brunelleschi, Old Sacristy'] = 'Brunelleschi, Old Sacristy';
catalog['Brunelleschi, Old Sacristy, San Lorenzo, Florence, begun c. 1421\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Brunelleschi, Old Sacristy, San Lorenzo, Florence, begun c. 1421\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Brunelleschi, Pazzi Chapel'] = 'Brunelleschi, Pazzi Chapel';
catalog['Brunelleschi, Santo Spirito'] = 'Brunelleschi, Santo Spirito';
catalog['Brush Up for college math on KA'] = 'Brush Up for college math on KA';
catalog['Brush up plan'] = 'Brush up plan';
catalog['Bryn talks about a ferocious but cute sea monster in Soldani Benzi\u2019s <em><a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=113646" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=113646">Andromeda and the Sea Monster</a></em>, 1710-16. From a&nbsp;tour at the Getty Center: The Supernatural in Art. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'Bryn talks about a ferocious but cute sea monster in Soldani Benzi\u2019s <em><a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=113646" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=113646">Andromeda and the Sea Monster</a></em>, 1710-16. From a&nbsp;tour at the Getty Center: The Supernatural in Art. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['Buddha and Ashoka'] = 'Buddha und Ashoka';
catalog['Buddha of Medicine Bhaishajyaguru (Yaoshi fo)'] = 'Buddha of Medicine Bhaishajyaguru (Yaoshi fo)';
catalog['Buddha of Medicine Bhaishajyaguru (Yaoshi fo), c. 1319, Yuan dynasty, water-based pigments on clay mixed with straw, 24 feet, 8 inches x 49 feet 7 inches / 751.8 cm x 1511.3 cm (Metropolitan Museum of Art, New York). In the Google Art Project: http://www.googleartproject.com/collection/the-metropolitan-museum-of-art/artwork/buddha-of-medicine-bhaishajyaguru-yaoshi-fo-unknown/650012/#'] = 'Buddha of Medicine Bhaishajyaguru (Yaoshi fo), c. 1319, Yuan dynasty, water-based pigments on clay mixed with straw, 24 feet, 8 inches x 49 feet 7 inches / 751.8 cm x 1511.3 cm (Metropolitan Museum of Art, New York). In the Google Art Project: http://www.googleartproject.com/collection/the-metropolitan-museum-of-art/artwork/buddha-of-medicine-bhaishajyaguru-yaoshi-fo-unknown/650012/#';
catalog['Buddhism began when Siddh\u0101rtha renounced his princely life and succeeded in attaining enlightenment.  As the philosophy and practice of Buddhism traveled, it was shaped and reshaped first across Northern India, Pakistan and Afghanistan and later in China, Japan and South East Asia. Learn how we trace the history of Buddhism through the representation of the historical Buddha and the many other buddhas that are still widely venerated today.'] = 'Buddhism began when Siddh\u0101rtha renounced his princely life and succeeded in attaining enlightenment.  As the philosophy and practice of Buddhism traveled, it was shaped and reshaped first across Northern India, Pakistan and Afghanistan and later in China, Japan and South East Asia. Learn how we trace the history of Buddhism through the representation of the historical Buddha and the many other buddhas that are still widely venerated today.';
catalog['Buddhist Art'] = 'Buddhist Art';
catalog['Buddhist Temples at Wutaishan'] = 'Buddhist Temples at Wutaishan';
catalog['Budget line'] = 'Budget line';
catalog['Buffers and Hendersen-Hasselbalch'] = 'Puffer und Hendersen-Hasselbalch-Gleichungen';
catalog['Buffers and the Hendersen-Hasselbalch equation'] = 'Puffer und die Hendersen-Hasselbalch-Gleichung';
catalog['Bugs fixed'] = 'Bugs fixed';
catalog['Build a battery strong enough to power an LED using the change in your pocket! Developed and demonstrated by Julie Yu, director of the Exploratorium Teacher Institute.'] = 'Build a battery strong enough to power an LED using the change in your pocket! Developed and demonstrated by Julie Yu, director of the Exploratorium Teacher Institute.';
catalog['Build a ping pong ball launcher '] = 'Tischtennisball-Kanone bauen ';
catalog['Build an ant colony with simple behaviours'] = 'Build an ant colony with simple behaviours';
catalog['Build and test the receiver'] = 'Build and test the receiver';
catalog['Build the transmitter'] = 'Build the transmitter';
catalog['Build your own colored shadows'] = 'Build your own colored shadows';
catalog['Build your own motor'] = 'Baue deinen eigenen Motor';
catalog['Building Trust and Confidence'] = 'Building Trust and Confidence';
catalog['Building customized software and solutions'] = 'Building customized software and solutions';
catalog['Building the idea of epsilon-delta definition'] = 'Building the idea of epsilon-delta definition';
catalog['Bumper switches'] = 'Bumper switches';
catalog['Bunch of examples'] = 'Ein Haufen Beispiele';
catalog['Burgundy'] = 'Burgundy';
catalog['Burne-Jones, Hope'] = 'Burne-Jones, Hope';
catalog['Burne-Jones, King Cophetua and the Beggar Maid'] = 'Burne-Jones, King Cophetua and the Beggar Maid';
catalog['Burne-Jones, The Golden Stairs'] = 'Burne-Jones, The Golden Stairs';
catalog['Bushel with ibex motifs'] = 'Bushel with ibex motifs';
catalog['Business and Family'] = 'Business and Family';
catalog['Businessman and philanthropist Bill Gates looks towards a future of sustainable energy and worldwide education.<br>'] = 'Businessman and philanthropist Bill Gates looks towards a future of sustainable energy and worldwide education.<br>';
catalog['By 1960, the unprecedented violence of the first half of the century had ebbed, replaced by the Cold War and threat of nuclear catastrophe. The vacuum left by European powers as they withdrew from their colonies instigated a global power grab as small nations sought autonomy but became proxies in a global strategic confrontation between Western and Soviet or Chinese ideologies. \n\nAt the same time protest movements in the West called for an end to war, racism, and gender inequality. Powerful, entrenched conservative institutions such as the Catholic Church were transformed. The assassinations of John F. Kennedy and Martin Luther King Jr., coupled later with Watergate, created a deep distrust for institutional authority. Artists responded by producing exceptionally thoughtful, original and provocative work that became increasingly global in its perspective.'] = 'By 1960, the unprecedented violence of the first half of the century had ebbed, replaced by the Cold War and threat of nuclear catastrophe. The vacuum left by European powers as they withdrew from their colonies instigated a global power grab as small nations sought autonomy but became proxies in a global strategic confrontation between Western and Soviet or Chinese ideologies. \n\nAt the same time protest movements in the West called for an end to war, racism, and gender inequality. Powerful, entrenched conservative institutions such as the Catholic Church were transformed. The assassinations of John F. Kennedy and Martin Luther King Jr., coupled later with Watergate, created a deep distrust for institutional authority. Artists responded by producing exceptionally thoughtful, original and provocative work that became increasingly global in its perspective.';
catalog['By 200 million years after the Big Bang, the Universe had become a very dark and cold place. Then things started to change. First, galaxies and nebulae formed. These were the earliest structures in the Universe. Then stars \u2013 \u201chot spots\u201d of light and energy \u2013 emerged from these clouds of dust and gas.'] = 'By 200 million years after the Big Bang, the Universe had become a very dark and cold place. Then things started to change. First, galaxies and nebulae formed. These were the earliest structures in the Universe. Then stars \u2013 \u201chot spots\u201d of light and energy \u2013 emerged from these clouds of dust and gas.';
catalog['By now, you are reasonably familiar with the graphs of sine and cosine and are beginning to appreciate that they can be used to model periodic phenomena.  In this tutorial, you\'ll get experience doing just that--modeling with periodic functions!'] = 'By now, you are reasonably familiar with the graphs of sine and cosine and are beginning to appreciate that they can be used to model periodic phenomena.  In this tutorial, you\'ll get experience doing just that--modeling with periodic functions!';
catalog['By pulsing the connection to the battery we can cause a compass to spin. How is this working?'] = 'By pulsing the connection to the battery we can cause a compass to spin. How is this working?';
catalog['By the 6th grade, you\'re starting to become a sophisticated mathemagician. \nYou\'ll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone.  Most importantly, the algebraic side of mathematics is a whole new kind of fun!  \n\nAnd if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)'] = 'By the 6th grade, you\'re starting to become a sophisticated mathemagician. \nYou\'ll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone.  Most importantly, the algebraic side of mathematics is a whole new kind of fun!  \n\nAnd if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)';
catalog['By the second half of the 20th Century, the avant-garde had an avant-garde of its own. Even as Pop, Minimal and Concept artists renounced the handmade work of art, a small group of women recognized the subversive value of handicraft in an age of industrial manufacturing and in an art world dominated by male artists and critics who sought theoretical purity. During her short career, Eva Hesse resituated the ancient question of how to meaningfully represent the human body and unleashed decades of experimentation that continues to this day. Judy Chicago, Linda Benglis, Jackie Windsor, Faith Ringgold, and others used the lowly status of craft and its historical association with female artisans to contrast with \u201chigh art.\u201d By focusing of the act of making, on process and craft, these women began the process of fracturing Modernism\u2019s reductive and largely male narratives.'] = 'By the second half of the 20th Century, the avant-garde had an avant-garde of its own. Even as Pop, Minimal and Concept artists renounced the handmade work of art, a small group of women recognized the subversive value of handicraft in an age of industrial manufacturing and in an art world dominated by male artists and critics who sought theoretical purity. During her short career, Eva Hesse resituated the ancient question of how to meaningfully represent the human body and unleashed decades of experimentation that continues to this day. Judy Chicago, Linda Benglis, Jackie Windsor, Faith Ringgold, and others used the lowly status of craft and its historical association with female artisans to contrast with \u201chigh art.\u201d By focusing of the act of making, on process and craft, these women began the process of fracturing Modernism\u2019s reductive and largely male narratives.';
catalog['Bystander effect'] = 'Bystander effect';
catalog['Byzantine art'] = 'Byzantine art';
catalog['Byzantine panel with archangel, Ivory leaf from diptych, c. 525-50, 16.8 x 5.6 x 0.35 in. (42.8 x 14.3 x 0.9 cm), probably from Constantinople (modern Istanbul, Turkey),  (British Museum, London)\n\nThe British Museum translates the text at the top of the panel as: "Receive the suppliant before you, despite his sinfulness."\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/ivory-panel-with-archangel.html'] = 'Byzantine panel with archangel, Ivory leaf from diptych, c. 525-50, 16.8 x 5.6 x 0.35 in. (42.8 x 14.3 x 0.9 cm), probably from Constantinople (modern Istanbul, Turkey),  (British Museum, London)\n\nThe British Museum translates the text at the top of the panel as: "Receive the suppliant before you, despite his sinfulness."\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/ivory-panel-with-archangel.html';
catalog['Byzantine'] = 'Byzantine';
catalog['C-4 Photosynthesis: How some plants avoid photorespiration'] = 'C4-Photosynthese: Wie einige Pflanzen die Photorespiration vermeiden';
catalog['C-4 photosynthesis'] = 'C-4 photosynthesis';
catalog['CA Algebra I: Completing the square'] = 'CA Algebra I: Quadratische Erg\u00e4nzung';
catalog['CA Algebra I: Factoring quadratics'] = 'CA Algebra I: Faktorisierung von quadratischen Termen';
catalog['CA Algebra I: Graphing inequalities'] = 'CA Algebra I: Grafische Darstellung von Ungleichungen';
catalog['CA Algebra I: Number properties and absolute value'] = 'CA Algebra I: Eigenschaften von Zahlen und der absolute Wert';
catalog['CA Algebra I: Quadratic equation'] = 'CA Algebra I: quadratische Gleichung';
catalog['CA Algebra I: Quadratic roots'] = 'CA Algebra I: Quadratische Wurzeln';
catalog['CA Algebra I: Slope and y-intercept'] = 'CA Algebra I: Steigung und Schnittpunkt mit der y-Achse';
catalog['CA Algebra I: Systems of inequalities'] = 'CA Algebra I: Systeme von Ungleichungen';
catalog['CA Geometry: Area, circumference, volume'] = 'CA-Geometrie: Fl\u00e4che, Umfang, Volumen';
catalog['CA Geometry: Area, pythagorean theorem'] = 'CA-Geometrie: Fl\u00e4che, Pythagoras';
catalog['CA Geometry: Basic trigonometry'] = 'CA-Geometrie: Einfache Trigonometrie';
catalog['CA Geometry: Circle area chords tangent'] = 'CA-Geometrie: Kreisfl\u00e4che Sehnen Tangente';
catalog['CA Geometry: Compass construction'] = 'CA Geometry: Compass construction';
catalog['CA Geometry: Deducing angle measures'] = 'CA Geometry: Deducing angle measures';
catalog['CA Geometry: Deductive reasoning'] = 'CA Geometry: Deductive reasoning';
catalog['CA Geometry: Exterior angles'] = 'CA Geometry: Exterior angles';
catalog['CA Geometry: More on congruent and similar triangles'] = 'CA Geometry: More on congruent and similar triangles';
catalog['CA Geometry: More proofs'] = 'CA-Geometrie: Weitere Beweise';
catalog['CA Geometry: More trig'] = 'CA-Geometrie: Weitere Trigonometrie';
catalog['CA Geometry: Proof by contradiction'] = 'CA-Geometrie: Beweis durch Widerspruch';
catalog['CA Geometry: Pythagorean theorem, area'] = 'CA-Geometrie: Pythagoras, Fl\u00e4che';
catalog['CA Geometry: Pythagorean theorem, compass constructions'] = 'CA Geometry: Pythagorean theorem, compass constructions';
catalog['CA Geometry: Secants and translations'] = 'CA Geometry: Secants and translations';
catalog['CA Geometry: Similar triangles 1'] = 'CA-Geometrie: \u00c4hnliche Dreiecke 1';
catalog['CA Geometry: Similar triangles 2'] = 'CA-Geometrie: \u00c4hnliche Dreiecke 2';
catalog['CA Geometry: Triangles and parallelograms'] = 'CA-Geometrie: Dreiecke und Parallelogramme';
catalog['CAHSEE Example Problems'] = 'CAHSEE Beispielaufgaben';
catalog['CAHSEE Practice: Problems 1-3'] = 'CAHSEE \u00dcbung: Aufgaben 1-3';
catalog['CAHSEE Practice: Problems 10-12'] = 'CAHSEE \u00dcbung: Aufgaben 10-12';
catalog['CAHSEE Practice: Problems 13-14'] = 'CAHSEE \u00dcbung: Aufgaben 13-14';
catalog['CAHSEE Practice: Problems 15-16'] = 'CAHSEE \u00dcbung: Aufgaben 15-16';
catalog['CAHSEE Practice: Problems 17-19'] = 'CAHSEE \u00dcbung: Aufgaben 17-19';
catalog['CAHSEE Practice: Problems 20-22'] = 'CAHSEE \u00dcbung: Aufgaben 20-22';
catalog['CAHSEE Practice: Problems 23-27'] = 'CAHSEE \u00dcbung: Aufgaben 23-27';
catalog['CAHSEE Practice: Problems 28-31'] = 'CAHSEE \u00dcbung: Aufgaben 28-31';
catalog['CAHSEE Practice: Problems 32-34'] = 'CAHSEE \u00dcbung: Aufgaben 32-34';
catalog['CAHSEE Practice: Problems 35-37'] = 'CAHSEE \u00dcbung: Aufgaben 35-37';
catalog['CAHSEE Practice: Problems 38-42'] = 'CAHSEE \u00dcbung: Aufgaben 38-42';
catalog['CAHSEE Practice: Problems 4-9'] = 'CAHSEE \u00dcbung: Aufgaben 4-9';
catalog['CAHSEE Practice: Problems 43-46'] = 'CAHSEE \u00dcbung: Aufgaben 43-46';
catalog['CAHSEE Practice: Problems 47-51'] = 'CAHSEE \u00dcbung: Aufgaben 47-51';
catalog['CAHSEE Practice: Problems 52-53'] = 'CAHSEE \u00dcbung: Aufgaben 52-53';
catalog['CAHSEE practice: Problems 1-3'] = 'CAHSEE \u00dcbung: Aufgaben 1-3';
catalog['CAHSEE practice: Problems 10-12'] = 'CAHSEE \u00dcbung: Aufgaben 10-12';
catalog['CAHSEE practice: Problems 13-14'] = 'CAHSEE \u00dcbung: Aufgaben 13-14';
catalog['CAHSEE practice: Problems 15-16'] = 'CAHSEE \u00dcbung: Aufgaben 15-16';
catalog['CAHSEE practice: Problems 17-19'] = 'CAHSEE \u00dcbung: Aufgaben 17-19';
catalog['CAHSEE practice: Problems 20-22'] = 'CAHSEE \u00dcbung: Aufgaben 20-22';
catalog['CAHSEE practice: Problems 23-27'] = 'CAHSEE \u00dcbung: Aufgaben 23-27';
catalog['CAHSEE practice: Problems 28-31'] = 'CAHSEE \u00dcbung: Aufgaben 28-31';
catalog['CAHSEE practice: Problems 32-34'] = 'CAHSEE \u00dcbung: Aufgaben 32-34';
catalog['CAHSEE practice: Problems 35-37'] = 'CAHSEE \u00dcbung: Aufgaben 35-37';
catalog['CAHSEE practice: Problems 38-42'] = 'CAHSEE \u00dcbung: Aufgaben 38-42';
catalog['CAHSEE practice: Problems 4-9'] = 'CAHSEE \u00dcbung: Aufgaben 4-9';
catalog['CAHSEE practice: Problems 43-46'] = 'CAHSEE \u00dcbung: Aufgaben 43-46';
catalog['CAHSEE practice: Problems 47-51'] = 'CAHSEE \u00dcbung: Aufgaben 47-51';
catalog['CAHSEE practice: Problems 52-53'] = 'CAHSEE \u00dcbung: Aufgaben 52-53';
catalog['CAHSEE'] = 'CAHSEE';
catalog['CCSS staging'] = 'CCSS staging';
catalog['CNN:  Google award to Khan Academy'] = 'CNN: Google Award f\u00fcr Khan Akademie';
catalog['CNN:  Salman Khan talks about Google award to Khan Academy'] = 'CNN: Salman Khan spricht \u00fcber Google Award f\u00fcr Khan Akademie';
catalog['CNN: Understanding the crisis'] = 'CNN: Understanding the crisis';
catalog['CPI index'] = 'CPI index';
catalog['C\u00e9zanne, Bathers'] = 'C\u00e9zanne, Bathers';
catalog['C\u00e9zanne, Still Life with Apples'] = 'C\u00e9zanne, Still Life with Apples';
catalog['C\u00e9zanne, Still Life with Plaster Cupid'] = 'C\u00e9zanne, Still Life with Plaster Cupid';
catalog['C\u00e9zanne, The Red Rock'] = 'C\u00e9zanne, The Red Rock';
catalog['Caesar cipher decryption'] = 'Caesar-Chiffre-Entschl\u00fcsselung';
catalog['Caesar cipher encryption'] = 'Caesar-Chiffre Verschl\u00fcsselung';
catalog['Caesar cipher frequency analysis'] = 'Caesar-Chiffre H\u00e4ufigkeit';
catalog['Cahn-Ingold-Prelog System for Naming Enantiomers'] = 'Cahn-Ingold-Prelog System for Naming Enantiomers';
catalog['Cahn-Ingold-Prelog system for naming enantiomers'] = 'Cahn-Ingold-Prelog system for naming enantiomers';
catalog['Caillebotte, Man at his Bath'] = 'Caillebotte, Man at his Bath';
catalog['Caillebotte, The Floor Scrapers'] = 'Caillebotte, The Floor Scrapers';
catalog['Calcium puts myosin to work'] = 'Calcium puts myosin to work';
catalog['Calcium-rich deposits found'] = 'Calcium-rich deposits found';
catalog['Calculate the perimeter of a shape from its side lengths.'] = 'Berechne den Umfang eines K\u00f6rpers anhand der Seitenl\u00e4ngen.';
catalog['Calculate your own body mass index'] = 'Calculate your own body mass index';
catalog['Calculate your own osmolarity'] = 'Calculate your own osmolarity';
catalog['Calculating ATP produced in cellular respiration'] = 'Calculating ATP produced in cellular respiration';
catalog['Calculating R-Squared to see how well a regression line fits data'] = 'Methode der kleinsten Quadrate um zu sehen, wie gut eine Regressionsgerade zu den Daten passt';
catalog['Calculating R-squared'] = 'Bestimmtheitsma\u00df berechnen';
catalog['Calculating a 4x4 determinant by putting in in upper triangular form first.'] = 'Calculating a 4x4 determinant by putting in in upper triangular form first.';
catalog['Calculating average velocity or speed'] = 'Berechnung der Durchschnittsgeschwindigkeit';
catalog['Calculating average velocity when acceleration is constant'] = 'Durschnittliche Geschwindigkeit berechnen wenn die Beschleunigung konstant bleibt';
catalog['Calculating conditional probability'] = 'Calculating conditional probability';
catalog['Calculating derivatives. Power rule. Product and quotient rules.  Chain Rule.  Implicit differentiation.  Derivatives of common functions.'] = 'Ableitungen berechnen. Regeln f\u00fcr Potenzen, Produkte und Quotienten. Kettenregel. Implizite Differentiation. Ableitungen von Standardfunktionen.';
catalog['Calculating dot and cross products with unit vector notation'] = 'Calculating dot and cross products with unit vector notation';
catalog['Calculating federal taxes and take home pay'] = 'Calculating federal taxes and take home pay';
catalog['Calculating i raised to arbitrarily high exponents'] = 'Calculating i raised to arbitrarily high exponents';
catalog['Calculating i raised to arbitrary exponents'] = 'Calculating i raised to arbitrary exponents';
catalog['Calculating integral disc method around vertical line'] = 'Calculating integral disc method around vertical line';
catalog['Calculating integral with shell method'] = 'Calculating integral with shell method';
catalog['Calculating real return in last year dollars'] = 'Calculating real return in last year dollars';
catalog['Calculating red blood cells in the body using scientific notation'] = 'Berechnung der roten Blutk\u00f6rperchen im K\u00f6rper mit der wissenschaftlichen Schreibweise';
catalog['Calculating retention factors for TLC'] = 'Calculating retention factors for TLC';
catalog['Calculating slope of tangent line using derivative definition'] = 'Berechnung der Tangentensteigung durch die Ableitungsdefinition';
catalog['Calculating state taxes and take home pay'] = 'Calculating state taxes and take home pay';
catalog['Calculating surface area using net'] = 'Berechnung der Oberfl\u00e4che \u00fcber das Netz';
catalog['Calculating the 6th derivative at 0 from the Taylor Series approximation'] = 'Calculating the 6th derivative at 0 from the Taylor Series approximation';
catalog['Calculating the acceleration of a Porsche'] = 'die Beschleunigung eines Porsche berechnen';
catalog['Calculating the coefficient of kinetic friction (correction made in next video)'] = 'Calculating the coefficient of kinetic friction (correction made in next video)';
catalog['Calculating the dot and cross products when vectors are presented in their x, y, and z (or i,j, and k) components.'] = 'Calculating the dot and cross products when vectors are presented in their x, y, and z (or i,j, and k) components.';
catalog['Calculating the foci (or focuses) of an Ellipse.'] = 'Berechnung der Brennpunkte (oder Fokus) einer Ellipse.';
catalog['Calculating the null space of a matrix'] = 'Calculating the null space of a matrix';
catalog['Calculating the pH of a weak acid'] = 'Berechnung des pH-Werts einer schwachen S\u00e4ure';
catalog['Calculating the pH or pOH of strong acids and bases.'] = 'Berechne den pH-Wert oder pOH-Wert starker S\u00e4uren und Basen.';
catalog['Calculating the square footage of a house'] = 'Berechnung der Fl\u00e4chenangaben eines Hauses';
catalog['Calculating the total final velocity for a projectile landing at a different altitude (mistake near end: I write 29.03 when it should be 26.03 m/s and the final total magnitude should be 26.55 m/s 78.7 degrees below horizontal'] = 'Calculating the total final velocity for a projectile landing at a different altitude (mistake near end: I write 29.03 when it should be 26.03 m/s and the final total magnitude should be 26.55 m/s 78.7 degrees below horizontal';
catalog['Calculator for Natural Logarithms'] = 'Rechner f\u00fcr nat\u00fcrliche Logarithmen';
catalog['Calculator for natural logarithms'] = 'Rechner f\u00fcr nat\u00fcrliche Logarithmen';
catalog['Calculus AB example questions'] = 'Analysis AB-Beispielfragen';
catalog['Calculus BC 2008 2 a'] = 'Calculus BC 2008 2 a';
catalog['Calculus BC 2008 2 b &c'] = 'Calculus BC 2008 2 b&c';
catalog['Calculus BC 2008 2d'] = 'Calculus BC 2008 2d';
catalog['Calculus BC sample questions'] = 'Analysis BC-Beispielfragen';
catalog['Calculus is about to seem strangely straight forward.  You\'ve spent some time using the definition of a derivative to find the slope at a point.  In this tutorial, we\'ll derive and apply the derivative for any term in a polynomial.\n\nBy the end of this tutorial, you\'ll have the power to take the derivative of any polynomial like it\'s second nature!'] = 'Analysis scheint seltsam geradlinig zu sein.  Du hast schon einige Zeit damit verbracht, die Definition einer Ableitung daf\u00fcr zu verwenden um die Steigung in einem Punkt zu herauszufinden.  In diesem Lernprogramm werden wir ableiten und die Ableitung f\u00fcr einen beliebigen Term in einem Polynom anwenden.\n\n Am Ende dieses Lernprogramms kannst du die Ableitung von jedem Polynom problemlos bestimmen!';
catalog['Calculus proof of centripetal acceleration formula'] = 'Calculus proof of centripetal acceleration formula';
catalog['Calculus staging'] = 'Calculus staging';
catalog['Calculus-Derivative:  Finding the slope (or derivative) of a curve at a particular point.'] = 'Analysis-Ableitungen: Finden der Steigung (oder Ableitung) einer Kurve an einem bestimmten Punkt.';
catalog['Calculus-Derivative: Finding the derivative of y=x^2'] = 'Ableitungen: Leite ab y=x^2 ';
catalog['Calculus: Derivatives 1'] = 'Analysis: Ableitung 1';
catalog['Calculus: Derivatives 2'] = 'Analysis: Ableitung 1';
catalog['California Academy of Sciences'] = 'Kalifornische Akademie der Wissenschaften';
catalog['Call Option as Leverage'] = 'Call Option as Leverage';
catalog['Call Payoff Diagram'] = 'Call Payoff Diagram';
catalog['Call Writer Payoff Diagram'] = 'Call Writer Payoff Diagram';
catalog['Call option as leverage'] = 'Call option as leverage';
catalog['Call payoff diagram'] = 'Call payoff diagram';
catalog['Call them Bonds. Covalent Bonds. Smart chemists need time to stir (and shake) their solutions. In this tutorial, Jay explains how chemists use bond-line structures as a form of organic shorthand to skip time-consuming carbon and hydrogen atoms labeling. Watch this tutorial so you too can be in the Dr. Know.'] = 'Call them Bonds. Covalent Bonds. Smart chemists need time to stir (and shake) their solutions. In this tutorial, Jay explains how chemists use bond-line structures as a form of organic shorthand to skip time-consuming carbon and hydrogen atoms labeling. Watch this tutorial so you too can be in the Dr. Know.';
catalog['Call writer payoff diagram'] = 'Call writer payoff diagram';
catalog['Called the Great War (before World War II came about), World War I was the bloody wake-up call that humanity was entering into a new stage of civilization.  Really the defining conflict that took Europe from 19th Century Imperial states that saw heroism in war into a modern shape.  Unforunately, it had to go through World War II as well (that some would argue was due to imbalances created by World War I).'] = 'Called the Great War (before World War II came about), World War I was the bloody wake-up call that humanity was entering into a new stage of civilization.  Really the defining conflict that took Europe from 19th Century Imperial states that saw heroism in war into a modern shape.  Unforunately, it had to go through World War II as well (that some would argue was due to imbalances created by World War I).';
catalog['Cam plants'] = 'Cam plants';
catalog['Cambrian explosion and biodiversity in the Phanerozoic Eon'] = 'Kambrische Explosion und Biodiversit\u00e4t im Phanerozoikum';
catalog['Camera connection to the Arduino'] = 'Camera connection to the Arduino';
catalog['Camera wiring update'] = 'Camera wiring update';
catalog['Camilo Vergara documents the changing urban landscape'] = 'Camilo Vergara documents the changing urban landscape';
catalog['Campin, Annunciation Triptych (Merode Altarpiece)'] = 'Campin, Annunciation Triptych (Merode Altarpiece)';
catalog['Campin, Christ and the Virgin'] = 'Campin, Christ and the Virgin';
catalog['Can I pick a red frog out of a bag that only contains marbles?  Is it smart to buy a lottery ticket?\n\nEven if we are unsure about whether something will happen, can we start to be mathematical about the "chances" of an event (essentially realizing that some things are more likely than others).  This tutorial will introduce us to the tools that allow us to think about random events.'] = 'Kann ich einen roten Frosch aus einer Tasche ziehen, in der nur Murmeln sind? Ist es klug ein Lotterielos zu kaufen?\n\nSelbst wenn du dir unsicher dar\u00fcber bist, ob etwas bestimmtes passieren wird, kannst du dennoch mathematisch dar\u00fcber nachdenken, wie gro\u00df die "Chancen" sind, dass ein Ereigniss stattfinden wird (also im Grunde herausfinden, dass manche Dinge wahrscheinlicher sind als andere). Dieses Tutorial stellt dir eben die Hilfsmittel vor, die dir beim Ergr\u00fcnden von Zufallsereignissen helfen.';
catalog['Can I pick a red frog out of a bag that only contains marbles?  Is it smart to buy a lottery ticket?\n\nEven if we are unsure about whether something will happen, can we start to be mathematical about the "chances" of an event (essentially realizing that some things are more likely than others).  This tutorial will introduce us to the tools that allow us to think about random events.\n\nCommon Core standards: 7.SP.C.5, 7.SP.C.7a, '] = 'Kann ich einen roten Frosch aus einer Tasche herausholen, in der nur Murmeln sind? Ist es klug, ein Lotterielos zu kaufen?\n\nAuch wenn wir nicht sicher sein k\u00f6nnen, ob etwas passieren wird, so k\u00f6nnen wir doch die \'Chance\' eines bestimmten Ereignisses berechnen (und dabei auch feststellen, dass gewisse Ereignisse wahrscheinlicher sind als andere). Dieses Tutorial wird uns die Werkzeuge vorstellen, mit denen wir zuf\u00e4llige Ereignisse besser verstehen k\u00f6nnen \n\nCommon Core standards: 7.SP.C.5, 7.SP.C.7a,';
catalog['Can Sal predict the ratio of white to black balls without looking at all of them?'] = 'Can Sal predict the ratio of white to black balls without looking at all of them?';
catalog['Can art be an enactment? Can the \u201cart\u201d be relocated from the object crafted by an artist to the more ephemeral reaction of the viewer? Must an artist actually \u201cmake\u201d a work of art at all? Conceptual artists recognized that when the 19th Century avant-garde broke with the academies and their emphasis on technical execution (the blending color or compositional clarity for example), they were freer to focus on more conceptual issues such as modern urban life, subjectivity, or pictorial language. Fast forward to the second half of the Twentieth Century when intellectual content became the defining characteristic of art and concept fully eclipsed craft. In the 1960 and 70s the art of Beuys, Haacke and others became increasingly conceptual. These artists used found objects, performance, and installation while de-emphasizing the act of \u201cobject making.\u201d'] = 'Can art be an enactment? Can the \u201cart\u201d be relocated from the object crafted by an artist to the more ephemeral reaction of the viewer? Must an artist actually \u201cmake\u201d a work of art at all? Conceptual artists recognized that when the 19th Century avant-garde broke with the academies and their emphasis on technical execution (the blending color or compositional clarity for example), they were freer to focus on more conceptual issues such as modern urban life, subjectivity, or pictorial language. Fast forward to the second half of the Twentieth Century when intellectual content became the defining characteristic of art and concept fully eclipsed craft. In the 1960 and 70s the art of Beuys, Haacke and others became increasingly conceptual. These artists used found objects, performance, and installation while de-emphasizing the act of \u201cobject making.\u201d';
catalog['Can calculus be used to figure out when a function takes on a local or global maximum value?  Absolutely.  Not only that, but derivatives and second derivatives can also help us understand the shape of the function (whether they are concave upward or downward).\n\nIf you have a basic conceptual understanding of derivatives, then you can start applying that knowledge here to identify critical points, extrema, inflections points and even to graph functions.'] = 'Can calculus be used to figure out when a function takes on a local or global maximum value?  Absolutely.  Not only that, but derivatives and second derivatives can also help us understand the shape of the function (whether they are concave upward or downward).\n\nIf you have a basic conceptual understanding of derivatives, then you can start applying that knowledge here to identify critical points, extrema, inflections points and even to graph functions.';
catalog['Can intelligence change?'] = 'Kann Intelligenz sich veraendern?';
catalog['Can performance art be re-performed? How can it be collected by the museum? To explore what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = 'Can performance art be re-performed? How can it be collected by the museum? To explore what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Can the bailout work?'] = 'Kann das Rettungspaket funktionieren?';
catalog['Can you sell something that you borrowed from someone else?  Why, yes, you can and it is called "shorting".  Why would you do this?  Well, you can now make money if the price goes down.  Is this bad?  This tutorial has your answers.'] = 'Kannst du etwas verkaufen, dass du von jemand anderen geliehen hast? Aber ja, das nennt man "Shorting". Warum w\u00fcrdest du das machen? Nun, weil du dann Geld machen kannst wenn der Preis f\u00e4llt. Ist das schlecht? Dieses Tutorial hat die Antworten.';
catalog['Can you use a magnet as a compass? How can you find North vs. South pole?'] = 'Can you use a magnet as a compass? How can you find North vs. South pole?';
catalog['Cancel Video Downloads'] = 'Cancel Video Downloads';
catalog['Cancel update'] = 'Cancel update';
catalog['Cancer'] = 'Krebs';
catalog['Cancerous colon tissue'] = 'Cancerous colon tissue';
catalog['Capacitance'] = 'Kapazit\u00e4ten';
catalog['Capacitors - Passage 1'] = 'Capacitors - Passage 1';
catalog['Capacitors - Passage 2'] = 'Capacitors - Passage 2';
catalog['Capacitors and capacitance'] = 'Capacitors and capacitance';
catalog['Capacitors in parallel'] = 'Capacitors in parallel';
catalog['Capacitors in series'] = 'Capacitors in series';
catalog['Capacity utilization and inflation'] = 'Besch\u00e4ftigungsgrad und Inflation';
catalog['Capital of a column from the audience hall of the palace of Darius I, Susa, c. 510 B.C.E.'] = 'Capital of a column from the audience hall of the palace of Darius I, Susa, c. 510 B.C.E.';
catalog['Capital of a column from the audience hall of the palace of Darius I, Susa, c. 510 B.C.E., &nbsp;Achaemenid, &nbsp;Tell of the Apadana, Susa, Iran (Louvre)<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris'] = 'Capital of a column from the audience hall of the palace of Darius I, Susa, c. 510 B.C.E., &nbsp;Achaemenid, &nbsp;Tell of the Apadana, Susa, Iran (Louvre)<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris';
catalog['Capitalism and Socialism'] = 'Kapitalismus und Sozialismus';
catalog['Capstone Exercises'] = 'Capstone Exercises';
catalog['Capstone exercises'] = 'Capstone exercises';
catalog['Capstone exponent properties example'] = 'Capstone Potenzregel  Beispiel';
catalog['Caravaggio, Calling of Saint Matthew'] = 'Caravaggio, Calling of Saint Matthew';
catalog['Caravaggio, Calling of St. Matthew, c. 1599-1600, oil on canvas (Contarelli Chapel, San Luigi dei Francesi, Rome).\n\nA Smarthistory.org video by Beth Harris and Steven Zucker'] = 'Caravaggio, Calling of St. Matthew, c. 1599-1600, oil on canvas (Contarelli Chapel, San Luigi dei Francesi, Rome).\n\nA Smarthistory.org video by Beth Harris and Steven Zucker';
catalog['Caravaggio, Contarelli Chapel, San Luigi dei Francesi'] = 'Caravaggio, Contarelli Chapel, San Luigi dei Francesi';
catalog['Caravaggio, Crucifixion of Saint Peter'] = 'Caravaggio, Crucifixion of Saint Peter';
catalog['Caravaggio, Crucifixion of St. Peter, oil on canvas, 1601 (Santa Maria del Popolo, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Caravaggio, Crucifixion of St. Peter, oil on canvas, 1601 (Santa Maria del Popolo, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Caravaggio, Death of the Virgin'] = 'Caravaggio, Death of the Virgin';
catalog['Caravaggio, Death of the Virgin, 1605-06, Oil on canvas, 12 feet, 10 inches x 8 feet (369 x 245 cm) (Mus\u00e9e du Louvre, Paris)\n\nPainted for the altar of a family chapel in the church of Santa Maria della Scala del\nTrastevere, Rome.\n\nSpeakers: Drs. Beth Harris and Steven Zucker \n\nhttp://www.smarthistory.org/caravaggios-death-of-the-virgin.html'] = 'Caravaggio, Death of the Virgin, 1605-06, Oil on canvas, 12 feet, 10 inches x 8 feet (369 x 245 cm) (Mus\u00e9e du Louvre, Paris)\n\nPainted for the altar of a family chapel in the church of Santa Maria della Scala del\nTrastevere, Rome.\n\nSpeakers: Drs. Beth Harris and Steven Zucker \n\nhttp://www.smarthistory.org/caravaggios-death-of-the-virgin.html';
catalog['Caravaggio, Narcissus at the Source'] = 'Caravaggio, Narcissus at the Source';
catalog['Caravaggio, Supper at Emmaus'] = 'Caravaggio, Supper at Emmaus';
catalog['Caravaggio\'s Calling of St. Matthew, oil on canvas, c. 1599-1600\n(Contarelli Chapel, San Luigi dei Francesi, Rome)'] = 'Caravaggio\'s Calling of St. Matthew, oil on canvas, c. 1599-1600\n(Contarelli Chapel, San Luigi dei Francesi, Rome)';
catalog['Carbocations and rearrangements'] = 'Carbocations and rearrangements';
catalog['Carbohydrate Metabolism - Passage 1'] = 'Carbohydrate Metabolism - Passage 1';
catalog['Carbohydrate Metabolism - Passage 2'] = 'Carbohydrate Metabolism - Passage 2';
catalog['Carbohydrate Metabolism'] = 'Carbohydrate Metabolism';
catalog['Carbon 14 Dating 1'] = 'C-14-Datierung 1';
catalog['Carbon 14 Dating 2'] = 'C-14-Datierung 2';
catalog['Carbon 14 dating 1'] = 'Carbon 14 dating 1';
catalog['Carbon 14 dating 2'] = 'Carbon 14 dating 2';
catalog['Carboxylic Acid Introduction'] = 'Carboxylic Acid Introduction';
catalog['Carboxylic Acid Naming'] = 'Carboxylic Acid Naming';
catalog['Carboxylic acid derivatives'] = 'Carboxylic acid derivatives';
catalog['Carboxylic acid introduction'] = 'Carboxylic acid introduction';
catalog['Carboxylic acid naming'] = 'Carboxylic acid naming';
catalog['Carboxylic acid nomenclature and properties'] = 'Carboxylic acid nomenclature and properties';
catalog['Carboxylic acids and derivatives'] = 'Carbons\u00e4uren und Derivate';
catalog['Carboxylic acids'] = 'Carboxylic acids';
catalog['Carefully follow 5 different preload scenarios to see how each one will have a different effect on how actin and myosin line up.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Carefully follow 5 different preload scenarios to see how each one will have a different effect on how actin and myosin line up.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Carefully go through each of the four major effects that the sympathetic and parasympathetic system has on your heart: Chronotropy, Dromotropy, Inotropy, and Lusitropy.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Carefully go through each of the four major effects that the sympathetic and parasympathetic system has on your heart: Chronotropy, Dromotropy, Inotropy, and Lusitropy.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Carnot cycle and Carnot engine'] = 'Carnot cycle and Carnot engine';
catalog['Carnot efficiency 2:  Reversing the cycle'] = 'Carnot efficiency 2:  Reversing the cycle';
catalog['Carnot efficiency 3:  Proving that it is the most efficient'] = 'Carnot efficiency 3:  Proving that it is the most efficient';
catalog['Carolee Schneeman describes her piece <em>Up to and Including Her Limits</em> as being in discussion with Jackson Pollock. To learn more about what artists have to say, take our online course, <a href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = 'Carolee Schneeman describes her piece <em>Up to and Including Her Limits</em> as being in discussion with Jackson Pollock. To learn more about what artists have to say, take our online course, <a href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Carolee Schneemann, "Up to and Including Her Limits" '] = 'Carolee Schneemann, "Up to and Including Her Limits" ';
catalog['Carolingian'] = 'Carolingian';
catalog['Carpeaux, Dance'] = 'Carpeaux, Dance';
catalog['Carracci, Ceiling of the Farnese Palace'] = 'Carracci, Ceiling of the Farnese Palace';
catalog['Carracci, Crucifixion & Lamentation'] = 'Carracci, Crucifixion & Lamentation';
catalog['Carrie Mae Weems on her series "From Here I Saw What Happened and I Cried"'] = 'Carrie Mae Weems on her series "From Here I Saw What Happened and I Cried"';
catalog['Carry trade basics'] = 'Carry trade basics';
catalog['Carrying when adding three digit numbers'] = '\u00dcbertrag merken beim Addieren von dreistelligen Zahlen';
catalog['Cartier-Bresson, Behind the Gare St. Lazare'] = 'Cartier-Bresson, Behind the Gare St. Lazare';
catalog['Carved carnelians, painted parchment, finessed flesh tones... explore art techniques in these videos.'] = 'Geschliffene Karneolen, bemaltes Pergament, nuancierte Hautt\u00f6ne ... Erfahrt mehr \u00fcber k\u00fcnstlerische Techniken in diesen Videos.';
catalog['Carving marble with traditional tools'] = 'Carving marble with traditional tools';
catalog['Caryatid (South Porch) and Ionic Column (North Porch), Erechtheion on the Acropolis, Athens, marble, 421-407 B.C.E., Classical Period (British Museum, London); Mnesicles may have been the architect. Speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Caryatid (South Porch) and Ionic Column (North Porch), Erechtheion on the Acropolis, Athens, marble, 421-407 B.C.E., Classical Period (British Museum, London); Mnesicles may have been the architect. Speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Case studies (higher education math)'] = 'Case studies (higher education math)';
catalog['Case studies'] = 'Case studies';
catalog['Case studies: teaching in a blended learning environment'] = 'Case studies: teaching in a blended learning environment';
catalog['Case study #1: Teaching in a Flex model at Summit Public Schools'] = 'Case study #1: Teaching in a Flex model at Summit Public Schools';
catalog['Case study #2:  Teaching in a Station Rotation model at KIPP LA'] = 'Case study #2:  Teaching in a Station Rotation model at KIPP LA';
catalog['Case study #3:  Teaching in Lab Rotation model at Navigator Schools'] = 'Case study #3:  Teaching in Lab Rotation model at Navigator Schools';
catalog['Cash accounting'] = 'Cash accounting';
catalog['Cash versus accrual accounting'] = 'Kassenbuchf\u00fchrung vs. periodengerechte Buchf\u00fchrung';
catalog['Caspar David Friedrich, A Walk at Dusk, oil on canvas, ca. 1830-1835 (The Getty Center, Los Angeles)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Caspar David Friedrich, A Walk at Dusk, oil on canvas, ca. 1830-1835 (The Getty Center, Los Angeles)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Caspar David Friedrich, Abbey among Oak Trees, 1809 or 1810, oil on canvas, 110.4 x 171 cm (Alte Nationalgalerie, Berlin)'] = 'Caspar David Friedrich, Abbey among Oak Trees, 1809 or 1810, oil on canvas, 110.4 x 171 cm (Alte Nationalgalerie, Berlin)';
catalog['Caspar David Friedrich, Monk by the Sea, 1808 or 1810, oil on canvas, 110 x 171.5 cm (Alte Nationalgalerie, Staatliche Museen zu Berlin)'] = 'Caspar David Friedrich, Monk by the Sea, 1808 or 1810, oil on canvas, 110 x 171.5 cm (Alte Nationalgalerie, Staatliche Museen zu Berlin)';
catalog['Caspar David Friedrich, Solitary Tree (or Lone Tree), 1822, oil on canvas, 55 x 71 cm (Alte Nationalgalerie, Berlin)'] = 'Caspar David Friedrich, Solitary Tree (or Lone Tree), 1822, oil on canvas, 55 x 71 cm (Alte Nationalgalerie, Berlin)';
catalog['Caspar David Friedrich, Woman at a Window, 1822, oil on canvas, 44 x 73 cm (Alte Nationalgalerie, Berlin). In the Google Art Project: http://www.googleartproject.com/collection/alte-nationalgalerie/artwork/woman-at-a-window-caspar-david-friedrich/328396/'] = 'Caspar David Friedrich, Woman at a Window, 1822, oil on canvas, 44 x 73 cm (Alte Nationalgalerie, Berlin). In the Google Art Project: http://www.googleartproject.com/collection/alte-nationalgalerie/artwork/woman-at-a-window-caspar-david-friedrich/328396/';
catalog['Cassatt, Breakfast in Bed'] = 'Cassatt, Breakfast in Bed';
catalog['Cassatt, In the Loge'] = 'Cassatt, In the Loge';
catalog['Cassatt, The Child\'s Bath'] = 'Cassatt, The Child\'s Bath';
catalog['Cassatt, The Loge'] = 'Cassatt, The Loge';
catalog['Cassatt, Woman with a Pearl Necklace in a Loge'] = 'Cassatt, Woman with a Pearl Necklace in a Loge';
catalog['Casting bronze: indirect lost-wax method'] = 'Casting bronze: indirect lost-wax method';
catalog['Catching and spreading the flu'] = 'Catching and spreading the flu';
catalog['Categorical data'] = 'Categorical data';
catalog['Categorize quadrilaterals'] = 'Kategorisieren von Vierecken';
catalog['Categorizing triangles'] = 'Dreiecke Kategorisieren';
catalog['Cathedral of Notre Dame de Chartres (part 1)'] = 'Cathedral of Notre Dame de Chartres (part 1)';
catalog['Cathedral of Notre Dame de Chartres (part 2)'] = 'Cathedral of Notre Dame de Chartres (part 2)';
catalog['Cathedral of Notre Dame de Chartres (part 3)'] = 'Cathedral of Notre Dame de Chartres (part 3)';
catalog['Causes of World War I'] = 'Die Ursachen des Ersten Weltkriegs';
catalog['Cell division'] = 'Zellteilung';
catalog['Cell membrane fluidity'] = 'Cell membrane fluidity';
catalog['Cell membrane introduction'] = 'Cell membrane introduction';
catalog['Cell membrane overview - Passage 1'] = 'Cell membrane overview - Passage 1';
catalog['Cell membrane overview - Passage 2'] = 'Cell membrane overview - Passage 2';
catalog['Cell membrane overview and fluid mosaic model'] = 'Cell membrane overview and fluid mosaic model';
catalog['Cell membrane overview'] = 'Cell membrane overview';
catalog['Cell membrane proteins'] = 'Cell membrane proteins';
catalog['Cellini, Perseus'] = 'Cellini, Perseus';
catalog['Cells and cell division'] = 'Zellen und Zellteilung';
catalog['Cells'] = 'Zellen';
catalog['Cellular mechanism of hormone action'] = 'Cellular mechanism of hormone action';
catalog['Cellular respiration'] = 'Zellatmung';
catalog['Center for Future of Museums'] = 'Zentrum f\u00fcr die Zukunft der Museen';
catalog['Center of mass'] = 'Center of mass';
catalog['Central Africa&#39;s roiling, rapid Lower Congo River is home to an extraordinary assortment of fish&mdash;many truly bizarre. This new video by Science Bulletins, the American Museum of Natural Historys current-science video program, features Museum scientists on a quest to understand why so many species have evolved here. Follow Curator of Ichthyology Melanie Stiassny and her team as they search the Lower Congo Rivers mysterious depths for an evolutionary driver.'] = 'Central Africa&#39;s roiling, rapid Lower Congo River is home to an extraordinary assortment of fish&mdash;many truly bizarre. This new video by Science Bulletins, the American Museum of Natural Historys current-science video program, features Museum scientists on a quest to understand why so many species have evolved here. Follow Curator of Ichthyology Melanie Stiassny and her team as they search the Lower Congo Rivers mysterious depths for an evolutionary driver.';
catalog['Central chemoreceptors'] = 'Central chemoreceptors';
catalog['Central dogma - revisited'] = 'Central dogma - revisited';
catalog['Central dogma of molecular biology'] = 'Central dogma of molecular biology';
catalog['Central limit theorem'] = 'Zentralen Grenzwertsatz';
catalog['Central, inscribed and circumscribed angles'] = 'Zentrale, eingeschriebe und umschriebene Winkel';
catalog['Central, inscribed, and circumscribed angles'] = 'Zentrale, beschriftete und umschriebene Winkel';
catalog['Centripetal acceleration'] = 'Centripetal acceleration';
catalog['Centripetal force and acceleration intuition'] = 'Centripetal force and acceleration intuition';
catalog['Centuries of observations ignited curiosity about other bodies in our solar system. Eventually, we reached out and touched them...what did we find?'] = 'Centuries of observations ignited curiosity about other bodies in our solar system. Eventually, we reached out and touched them...what did we find?';
catalog['Cepheid Variables 1'] = 'Cepheiden Ver\u00e4nderliche Sterne 1';
catalog['Cepheid variables 1'] = 'Cepheid variables 1';
catalog['Cepheid variables'] = 'Die Cepheiden';
catalog['Certain amino acids stand out for their unique properties. In this video, you&#39;ll learn more about what makes histidine, proline, glycine, and cysteine unique.&nbsp; By Tracy Kovach.'] = 'Certain amino acids stand out for their unique properties. In this video, you&#39;ll learn more about what makes histidine, proline, glycine, and cysteine unique.&nbsp; By Tracy Kovach.';
catalog['Cervical Spine Protection in Airway Management.  This is for education only.  It is not a substitute for formal training or licensure.  Every effort has been made in preparing this video to provide accurate and up-to-date information which is in accord accepted standards and practice at the time of production.  We make no warranties on the information contained in the video because clinical standards are constantly changing through research and regulation.  We disclaim all liability for direct or consequential damages resulting from the use of material contained in this video.'] = 'Cervical Spine Protection in Airway Management.  This is for education only.  It is not a substitute for formal training or licensure.  Every effort has been made in preparing this video to provide accurate and up-to-date information which is in accord accepted standards and practice at the time of production.  We make no warranties on the information contained in the video because clinical standards are constantly changing through research and regulation.  We disclaim all liability for direct or consequential damages resulting from the use of material contained in this video.';
catalog['Cervical Spine'] = 'Halswirbels\u00e4ule';
catalog['Cervical spine protection in airway management (not a substitute for formal training)'] = 'Cervical spine protection in airway management (not a substitute for formal training)';
catalog['Cervical spine'] = 'Halswirbels\u00e4ule';
catalog['Cezanne, The Large Bathers'] = 'Cezanne, The Large Bathers';
catalog['Chain rule definition and example'] = 'Kette-Regel - Definition und Beispiel';
catalog['Chain rule example using visual function definitions'] = 'Chain rule example using visual function definitions';
catalog['Chain rule example using visual information'] = 'Chain rule example using visual information';
catalog['Chain rule for derivative of 2^x'] = 'Kettenregel f\u00fcr die Ableitung von 2^x';
catalog['Chain rule introduction'] = 'Einf\u00fchrung Kettenregel';
catalog['Chain rule on three functions'] = 'Chain rule on three functions';
catalog['Chain rule on two functions'] = 'Chain rule on two functions';
catalog['Chain rule using partial derivatives (not a proof; more intuition).'] = 'Kettenregel unter Zuhilfenahme von partiellen Ableitungen (kein Beweis; mehr Intuition).';
catalog['Chain rule with triple composition'] = 'Chain rule with triple composition';
catalog['Chain rule'] = 'Kettenregel';
catalog['Chair and Boat Shapes for Cyclohexane'] = 'Sessel- und Wannenkonformation des Cyclohexans';
catalog['Chair and boat shapes for cyclohexane'] = 'Sessel- und Wannenkonformation des Cyclohexans';
catalog['Challenge example:  Sum of integers'] = 'Herausforderung-Beispiel: Summe der ganzen Zahlen';
catalog['Challenge solution'] = 'Challenge solution';
catalog['Challenge to write a Python function that can sort a list in-place'] = 'Challenge to write a Python function that can sort a list in-place';
catalog['Challenge: Design a more powerful battery'] = 'Challenge: Design a more powerful battery';
catalog['Challenges'] = '\u00dcbungen';
catalog['Challenging complex number problem'] = 'Anspruchsvolles Problem mit komplexen Zahlen';
catalog['Challenging complex number problems'] = 'Anspruchsvolle Probleme mit komplexen Zahlen';
catalog['Challenging definite integration'] = 'Anspruchsvolle bestimmte Integration';
catalog['Challenging existing assumptions'] = 'Challenging existing assumptions';
catalog['Challenging perimeter problem'] = 'Forderndes Umfang Problem';
catalog['Challenging problem of a projectile on an inclined plane'] = 'Challenging problem of a projectile on an inclined plane';
catalog['Challenging problem to find an angle'] = 'Anspruchsvolles Problem um einen Winkel zu finden';
catalog['Challenging similarity problem'] = 'Challenging similarity problem';
catalog['Challenging triangle angle problem'] = 'Herausforderung zu einem Dreieck Winkel Problem';
catalog['Change Facility'] = 'Change Facility';
catalog['Change from buying apples'] = 'Wechselgeld beim \u00c4pfelkaufen';
catalog['Change in expected future prices and demand'] = 'Change in expected future prices and demand';
catalog['Change my password'] = 'Mein Passwort \u00e4ndern';
catalog['Change of base formula proof'] = 'Formelbeweis zur \u00c4nderung der Basis';
catalog['Change of base formula'] = 'Basiswechselformel';
catalog['Change of basis matrix'] = 'Change of basis matrix';
catalog['Change of basis'] = 'Change of basis';
catalog['Change of state example'] = 'Change of state example';
catalog['Change password'] = 'Passwort \u00e4ndern';
catalog['Changes in income, population, or preferences'] = 'Changes in income, population, or preferences';
catalog['Changes in market equilibrium'] = 'Changes in market equilibrium';
catalog['Changing a mixed number to an improper fraction'] = 'Eine gemischte Zahl in einen unechten Bruch umwandeln';
catalog['Changing an Improper Fraction to a Mixed Number'] = 'Einen unechten Bruch in eine gemischte Zahl umwandeln';
catalog['Changing an improper fraction to a mixed number'] = 'Einen unechten Bruch in eine gemischte Zahl umwandeln';
catalog['Changing coordinate systems to help find a transformation matrix'] = 'Changing coordinate systems to help find a transformation matrix';
catalog['Changing our coordinate system to find the transformation matrix with respect to standard coordinates'] = 'Changing our coordinate system to find the transformation matrix with respect to standard coordinates';
catalog['Changing the AV node delay - chronotropic effect'] = 'Changing the AV node delay - chronotropic effect';
catalog['Changing the PV Loop'] = 'Changing the PV Loop';
catalog['Changing the PV loop'] = 'Changing the PV loop';
catalog['Changing the heart rate - chronotropic effect'] = 'Changing the heart rate - chronotropic effect';
catalog['Chapter 11: Bankruptcy restructuring'] = 'Chapter 11: Bankruptcy restructuring';
catalog['Chapter 11: Restructuring through a bankruptcy'] = 'Chapter 11: Restructuring through a bankruptcy';
catalog['Chapter 7 and Chapter 13 personal bankruptcy. This video was sponsored by Visa, but I had complete editorial freedom as to its contents.'] = 'Chapter 7 and Chapter 13 personal bankruptcy. This video was sponsored by Visa, but I had complete editorial freedom as to its contents.';
catalog['Chapter 7: Bankruptcy liquidation'] = 'Chapter 7: Bankruptcy liquidation';
catalog['Charging different consumers different amounts in an attempt to optimize economic profit'] = 'Unterschiedlichen Konsumenten unterschiedliche Preise anbieten, um \u00f6konomischen Gewinn zu optimieren';
catalog['Charlemagne and the Carolingian revival (2 of 2)'] = 'Charlemagne and the Carolingian revival (2 of 2)';
catalog['Charlemagne, King of the Franks and later Holy Roman Emperor, instigated a cultural revival known as the Carolingian Renaissance.'] = 'Charlemagne, King of the Franks and later Holy Roman Emperor, instigated a cultural revival known as the Carolingian Renaissance.';
catalog['Charlemagne: An introduction (1 of 2)'] = 'Charlemagne: An introduction (1 of 2)';
catalog['Charles Barry and A.W.N. Pugin, <em>Palace of Westminster (Houses of Parliament)</em>, 1840-70, London<br><br>Speakers: Dr. Beth Harris and Dr. Steven Zucker&nbsp;'] = 'Charles Barry and A.W.N. Pugin, <em>Palace of Westminster (Houses of Parliament)</em>, 1840-70, London<br><br>Speakers: Dr. Beth Harris and Dr. Steven Zucker&nbsp;';
catalog['Charles Barry and A.W.N. Pugin, Palace of Westminster (Houses of Parliament)'] = 'Charles Barry and A.W.N. Pugin, Palace of Westminster (Houses of Parliament)';
catalog['Charles Garnier, The Paris Op\u00e9ra, 1860-75'] = 'Charles Garnier, The Paris Op\u00e9ra, 1860-75';
catalog['Charles Willson Peale, Staircase Group (Portrait of Raphaelle Peale and Titian Ramsay Peale), 1795, oil on canvas, 89-1/2 x 39-3/8 inches / 227.3 x 100 cm (Philadelphia Museum of Art). In the Google Art Project: http://www.googleartproject.com/collection/philadelphia-museum-of-art/artwork/staircase-group-portrait-of-raphaelle-peale-and-titian-ramsay-peale-charles-willson-peale-american-1741-1827/807033/'] = 'Charles Willson Peale, Staircase Group (Portrait of Raphaelle Peale and Titian Ramsay Peale), 1795, oil on canvas, 89-1/2 x 39-3/8 inches / 227.3 x 100 cm (Philadelphia Museum of Art). In the Google Art Project: http://www.googleartproject.com/collection/philadelphia-museum-of-art/artwork/staircase-group-portrait-of-raphaelle-peale-and-titian-ramsay-peale-charles-willson-peale-american-1741-1827/807033/';
catalog['Charles\'s law'] = 'Charles\'s law';
catalog['Charlie Marsh on Self learning and AP Exams'] = 'Charlie Marsh on Self learning and AP Exams';
catalog['Chassis modifications'] = 'Chassis modifications';
catalog['Chassis/frame'] = 'Chassis/frame';
catalog['Check Answer'] = 'Check Answer';
catalog['Check out how the amount of Myosin that is tugging on your heart can change depending on your activity level! Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Check out how the amount of Myosin that is tugging on your heart can change depending on your activity level! Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Check out the flow of positive charge through the heart that happens every time your heart beats!  Learn how the heart is able to keep a regular rate and rhythm throughout your life.'] = 'Schau dir den Fluss positiver Ladungen im Herz an, der bei jedem Herzschlag flie\u00dft! Lerne, wie das Herz einen regelm\u00e4\u00dfigen Rhythmus f\u00fcr das ganze Leben erzeugt.';
catalog['Check the real-time values of your&nbsp;sensors&nbsp;'] = 'Check the real-time values of your&nbsp;sensors&nbsp;';
catalog['Check your email'] = 'Check your email';
catalog['Chemical processes'] = 'Chemische Prozesse';
catalog['Chemical reactions (stoichiometry)'] = 'Chemische Reaktionen (St\u00f6chiometrie)';
catalog['Chemically rich clouds of tasty leftover matter orbited our newly formed Sun. Chunks of debris collided and smashed into each other, eventually creating our Earth and Solar System.'] = 'Chemically rich clouds of tasty leftover matter orbited our newly formed Sun. Chunks of debris collided and smashed into each other, eventually creating our Earth and Solar System.';
catalog['Chemistry and energy'] = 'Chemistry and energy';
catalog['Chemistry'] = 'Chemie';
catalog['Chi-Square Distribution Introduction'] = 'Einf\u00fchrung in die Chi-Quadrat-Verteilung';
catalog['Chi-square distribution introduction'] = 'Einf\u00fchrung in die Chi-Quadrat-Verteilung';
catalog['Chi-square probability distribution'] = 'Chi-Quadrat Wahrscheinlichkeitsverteilungen';
catalog['Chicago, Pasadena Lifesaver, Blue Series, No. 4 & Benglis, Omega'] = 'Chicago, Pasadena Lifesaver, Blue Series, No. 4 & Benglis, Omega';
catalog['Childhood growth'] = 'Childhood growth';
catalog['Chilling water problem'] = 'Chilling water problem';
catalog['China Pegs to Dollar to Keep Trade Imbalance'] = 'China Pegs to Dollar to Keep Trade Imbalance';
catalog['China buys US Bonds'] = 'China buys US Bonds';
catalog['China buys US bonds'] = 'China buys US bonds';
catalog['China keeps peg but diversifies holdings'] = 'China keeps peg but diversifies holdings';
catalog['China pegs to dollar to keep trade imbalance'] = 'China pegs to dollar to keep trade imbalance';
catalog['China'] = 'China';
catalog['China: Bodhisattva'] = 'China: Bodhisattva';
catalog['Chinese Buddhist cave shrines'] = 'Chinese Buddhist cave shrines';
catalog['Chinese Central Bank Buying Treasuries'] = 'Chinese Central Bank Buying Treasuries';
catalog['Chinese Central Bank buying treasuries'] = 'Chinese Central Bank buying treasuries';
catalog['Chinese art from the Yuan dynasty'] = 'Chinese art from the Yuan dynasty';
catalog['Chinese currency and U.S. debt'] = 'Chinesische W\u00e4hrung und Schulden der USA';
catalog['Chinese inflation'] = 'Chinesische Inflation';
catalog['Chiral Examples 1'] = 'Chiral Examples 1';
catalog['Chiral Examples 2'] = 'Chiral Examples 2';
catalog['Chiral examples 1'] = 'Chiral examples 1';
catalog['Chiral examples 2'] = 'Chiral examples 2';
catalog['Chirality and absolute configuration'] = 'Chiralit\u00e4t und absolute Konfiguration';
catalog['Chirality and the R,S system'] = 'Chiralit\u00e4t und R, S-System';
catalog['Chirality centers and stereoisomers'] = 'Chiralit\u00e4tszentren und Stereoisomere';
catalog['Choices, opportunity cost and happiness'] = 'Entscheidungen, Opportunit\u00e4tskosten und Zufriedenheit';
catalog['Chordates'] = 'Chordatiere';
catalog['Christian Schad, Self-Portrait, 1927, oil on wood, 29 x 24-3/8 inches, 76 x 62 cm\n(Tate Modern, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Christian Schad, Self-Portrait, 1927, oil on wood, 29 x 24-3/8 inches, 76 x 62 cm\n(Tate Modern, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Christian art, which was initially influenced by the illusionary quality of classical art, started to move away from naturalistic representation and instead pushed toward abstraction. Artists began to abandon classical artistic conventions like shading, modeling and perspective\u2014conventions that make the image appear more real. They no longer observed details in nature to record them in paint, bronze, marble, or mosaic.'] = 'Christian art, which was initially influenced by the illusionary quality of classical art, started to move away from naturalistic representation and instead pushed toward abstraction. Artists began to abandon classical artistic conventions like shading, modeling and perspective\u2014conventions that make the image appear more real. They no longer observed details in nature to record them in paint, bronze, marble, or mosaic.';
catalog['Christianity from Judaism to Constantine'] = 'Christentum vom Judentum zu Constantin';
catalog['Christmas ain\'t over yet. The 12th day is Jan. 6th!\n\nYou can get just the song here: http://vihart.com/music/gauss12days.mp3\n\nhttp://vihart.com'] = 'Christmas ain\'t over yet. The 12th day is Jan. 6th!\n\nYou can get just the song here: http://vihart.com/music/gauss12days.mp3\n\nhttp://vihart.com';
catalog['Christopher Nolan reveals how paintings by Francis Bacon inspired the Joker&#39;s smeared make-up in <em>The Dark Knight</em>. Nolan talks about his longstanding fascination for Bacon&#39;s work, and why, when words fail him, he turns to art to help shape his creative vision.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.'] = 'Christopher Nolan reveals how paintings by Francis Bacon inspired the Joker&#39;s smeared make-up in <em>The Dark Knight</em>. Nolan talks about his longstanding fascination for Bacon&#39;s work, and why, when words fail him, he turns to art to help shape his creative vision.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.';
catalog['Christus, Portrait of a Carthusian'] = 'Christus, Portrait of a Carthusian';
catalog['Christus, Portrait of a Young Girl'] = 'Christus, Portrait of a Young Girl';
catalog['Chromosomal basis for gender.  Sex-linked traits.'] = 'Chromosomale Grundlage f\u00fcr Geschlechter. Geschlechtsgebundene Merkmale.';
catalog['Chromosomes, chromatids, chromatin, etc.'] = 'Chromosomen, Chromatiden, Chromatin etc.';
catalog['Chronometric revolution'] = 'Chronometric revolution';
catalog['Cimabue, Maesta of Santa Trinita, 1280-1290, tempera on panel, 151 1/2 x 87 3/4&quot; (385 x 223 cm), Uffizi, Florence Speakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Cimabue, Maesta of Santa Trinita, 1280-1290, tempera on panel, 151 1/2 x 87 3/4&quot; (385 x 223 cm), Uffizi, Florence Speakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Cimabue, Santa Trinita Madonna & Giotto\'s Ognissanti Madonna'] = 'Cimabue, Santa Trinita Madonna & Giotto\'s Ognissanti Madonna';
catalog['Cimabue, Santa Trinita Madonna'] = 'Cimabue, Santa Trinita Madonna';
catalog['Cindy Sherman, Untitled Film Still #21, 1978, gelatin silver print, 7.5 x 9.5 inches or 19.1 x 24.1 cm (MoMA) Speakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris'] = 'Cindy Sherman, Untitled Film Still #21, 1978, gelatin silver print, 7.5 x 9.5 inches or 19.1 x 24.1 cm (MoMA) Speakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris';
catalog['Ciphers'] = 'Chiffren';
catalog['Circle arcs and sectors'] = 'Kreisb\u00f6gen und Sektoren';
catalog['Circle of the Master of Pedret, The Wise and Foolish Virgins, south apse of the Epistle, Sant Quirze de Pedret, late 11th century to the beginning of 12th century, fresco transferred to canvas\n325 x 315 x 320 cm (Museu Nacional d\'Art de Catalunya, Barcelona)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Circle of the Master of Pedret, The Wise and Foolish Virgins, south apse of the Epistle, Sant Quirze de Pedret, late 11th century to the beginning of 12th century, fresco transferred to canvas\n325 x 315 x 320 cm (Museu Nacional d\'Art de Catalunya, Barcelona)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Circles and Pythagorean identities'] = 'Circles and Pythagorean identities';
catalog['Circles and arcs'] = 'Kreise und B\u00f6gen';
catalog['Circles and straight-edges, oh my!'] = 'Kreise und gerade Kanten, oh Mann!';
catalog['Circles are everywhere.  How can we measure how big they are?  Well, we could think about the distance around the circle (circumference).  Another option would be to think about how much space it takes up on our paper (area).  Have fun!'] = 'Kreise sind \u00fcberall. Aber wie kannst du messen wie gro\u00df sie sind? Na ja, du k\u00f6nntest dar\u00fcber nachdenken, wie weit du um den Kreis herum gehen kannst (Umfang). Eine andere M\u00f6glichkeit w\u00e4re, dass du \u00fcberlegst, wieviel Platz sie auf deinem Papier einnehmen (Fl\u00e4che). Viel Spa\u00df!';
catalog['Circles'] = 'Kreise';
catalog['Circles: Radius, diameter, and circumference'] = 'Kreise: Radius, Durchmesser und Umfang';
catalog['Circuits (part 1)'] = 'Stromkreise (Teil 1)';
catalog['Circuits (part 2)'] = 'Circuits (part 2)';
catalog['Circuits (part 3)'] = 'Stromkreise (Teil 3)';
catalog['Circuits (part 4)'] = 'Stromkreise (Teil 4)';
catalog['Circular flow of income and expenditure.  Gross domestic product.'] = 'Kreislauf von Einkommen und Ausgaben. Das Bruttoinlandsprodukt.';
catalog['Circular flow of income and expenditures'] = 'Circular flow of income and expenditures';
catalog['Circulatory & respiratory systems'] = 'Kreislauf- & Atmungssysteme';
catalog['Circulatory and pulmonary systems'] = 'Circulatory and pulmonary systems';
catalog['Circulatory system and the heart'] = 'Circulatory system and the heart';
catalog['Circumcenter of a right triangle'] = 'Umkreismittelpunkt eines rechtwinkligen Dreiecks';
catalog['Circumcenter of a triangle'] = 'Umkreismittelpunkt eines Dreiecks';
catalog['Circumference and area of circles'] = 'Umfang und Fl\u00e4che von Kreisen';
catalog['Circumference from area'] = 'Umfang einer Fl\u00e4che';
catalog['Circumference of Earth'] = 'Umfang der Erde';
catalog['Cis-Trans and E-Z Naming Scheme for Alkenes'] = 'cis-trans- und E-Z-Nomenklatur f\u00fcr Alkene';
catalog['Cis-trans and the E-Z system'] = 'Cis-trans and the E-Z system';
catalog['Claes Oldenburg, Floor Cake, Synthetic polymer paint and latex on canvas filled with foam rubber and cardboard boxes, 58.375 x 114.25 x 58.375 in. (148.2 x 290.2 x 148.2 cm) 1962 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/claes-oldenburg.html'] = 'Claes Oldenburg, Floor Cake, Synthetic polymer paint and latex on canvas filled with foam rubber and cardboard boxes, 58.375 x 114.25 x 58.375 in. (148.2 x 290.2 x 148.2 cm) 1962 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://www.smarthistory.org/claes-oldenburg.html';
catalog['Clarification of Confidence Interval of Difference of Means'] = 'Kl\u00e4rung des Konfidenzintervalls f\u00fcr Abweichungen vom Mittelwert';
catalog['Clarification of confidence interval of difference of means'] = 'Kl\u00e4rung des Konfidenzintervalls f\u00fcr Abweichungen vom Mittelwert';
catalog['Clarification of the problem in part 10'] = 'Kl\u00e4rung des Problems in Teil 10';
catalog['Clarification on the relationship between total revenue and elasticity'] = 'Kl\u00e4rung \u00fcber das Verh\u00e4ltnis zwischen Umsatz und Elastizit\u00e4t';
catalog['Clarifying a bunch of medical terms around heart disease'] = 'Clarifying a bunch of medical terms around heart disease';
catalog['Clarifying difference between a thrombus and an embolus (and between thrombosis and embolism)'] = 'Clarifying difference between a thrombus and an embolus (and between thrombosis and embolism)';
catalog['Clarifying some points on evolution and intelligent design'] = 'Erkl\u00e4rung einiger Punkte zur Evolution und dem Intelligent Design';
catalog['Clarifying that the thermodynamic definition of Entropy requires a reversible system.'] = 'Clarifying that the thermodynamic definition of Entropy requires a reversible system.';
catalog['Clarifying the effect of axial precession on the calendar and the date of perihelion and aphelion'] = 'Kl\u00e4rung der Effekt der axialen Pr\u00e4zession auf den Kalender und das Datum von Perihel und Aphel';
catalog['Clarifying what "break" does and stepping through the insertion sort implementation'] = 'Clarifying what "break" does and stepping through the insertion sort implementation';
catalog['Classic function videos'] = 'Alte Videos zu Funktionen';
catalog['Classic multiplying binomials video'] = 'Video \u00fcber die klassische Multiplikation von Binomen';
catalog['Classic video on inverting a 3x3 matrix part 1'] = 'Klassisches Video \u00fcber das Invertieren einer 3 x 3-Matrix Teil 1';
catalog['Classic video on inverting a 3x3 matrix part 2'] = 'Klassisches Video \u00fcber das Invertieren eines 3 x 3-Matrix-Teil 2';
catalog['Classical conditioning: Extinction, spontaneous recovery, generalization, discrimination'] = 'Classical conditioning: Extinction, spontaneous recovery, generalization, discrimination';
catalog['Classical conditioning: Neutral, conditioned, and unconditioned stimuli and responses'] = 'Classical conditioning: Neutral, conditioned, and unconditioned stimuli and responses';
catalog['Classical gardens of Suzhou'] = 'Classical gardens of Suzhou';
catalog['Classical gravity.  How masses attract each other (according to Newton).'] = 'Classical gravity.  How masses attract each other (according to Newton).';
catalog['Classical:  Victory (Nike) Adjusting Her Sandal, Temple of Athena Nike (Acropolis)'] = 'Classical:  Victory (Nike) Adjusting Her Sandal, Temple of Athena Nike (Acropolis)';
catalog['Classical: Caryatid and column from the Erechtheion'] = 'Classical: Caryatid and column from the Erechtheion';
catalog['Classical: East Pediment sculptures, Parthenon, including Helios, Horses and Dionysus (Heracles?) (Acropolis)'] = 'Classical: East Pediment sculptures, Parthenon, including Helios, Horses and Dionysus (Heracles?) (Acropolis)';
catalog['Classical: Grave Stele of Hegeso'] = 'Classical: Grave Stele of Hegeso';
catalog['Classical: Myron, Discobolus (Discus Thrower), Roman copy of an ancient Greek bronze'] = 'Classical: Myron, Discobolus (Discus Thrower), Roman copy of an ancient Greek bronze';
catalog['Classical: Parthenon (Acropolis)'] = 'Classical: Parthenon (Acropolis)';
catalog['Classical: Parthenon Metopes'] = 'Classical: Parthenon Metopes';
catalog['Classical: Parthenon frieze'] = 'Classical: Parthenon frieze';
catalog['Classification of amino acids'] = 'Classification of amino acids';
catalog['Classifying a quadrilateral on the coordinate plane'] = 'Classifying a quadrilateral on the coordinate plane';
catalog['Classifying shapes by line and angle types'] = 'Klassifizierung von Formen durch Linien- und Winkel-Typen';
catalog['Classifying shapes'] = 'Klassifizierung von Formen';
catalog['Classifying vectors and quantities example'] = 'Classifying vectors and quantities example';
catalog['Claude Monet, Cliff Walk at Pourville, 1882, oil on canvas, 26-1/8 x 32-7/16 inches / 66.5 x 82.3 cm (Art Institute of Chicago)'] = 'Claude Monet, Cliff Walk at Pourville, 1882, oil on canvas, 26-1/8 x 32-7/16 inches / 66.5 x 82.3 cm (Art Institute of Chicago)';
catalog['Claude Monet, Gare St. Lazare, 1877 (Musee d&#39;Orsay) For more art history videos visit www.smarthistory.org'] = 'Claude Monet, Gare St. Lazare, 1877 (Musee d&#39;Orsay) For more art history videos visit www.smarthistory.org';
catalog['Claude Monet, Les Nymph\u00e9as (The Water Lilies), suite of paintings on permanent exhibition at the Mus\u00e9e de l\'Orangerie in Paris:\n\nRoom 1:\nMorning, oil on two canvas panels, 200 x 425 cm, c. 1918-26\nClouds, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nGreen Highlights, oil on two canvas panels, 200 x 850 cm, c. 1918-26\nSunset, oil on canvas, 200 x 600 cm, c. 1918-26\n\nRoom 2:\nReflection of Trees, oil on two canvas panels, 200 x 850 cm, c. 1918-26\nThe Morning Light, the willows, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nThe Morning Willows, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nThe Two Willows, oil on four canvas panels, 200 x 1700 cm, c. 1918-26\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Claude Monet, Les Nymph\u00e9as (The Water Lilies), suite of paintings on permanent exhibition at the Mus\u00e9e de l\'Orangerie in Paris:\n\nRoom 1:\nMorning, oil on two canvas panels, 200 x 425 cm, c. 1918-26\nClouds, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nGreen Highlights, oil on two canvas panels, 200 x 850 cm, c. 1918-26\nSunset, oil on canvas, 200 x 600 cm, c. 1918-26\n\nRoom 2:\nReflection of Trees, oil on two canvas panels, 200 x 850 cm, c. 1918-26\nThe Morning Light, the willows, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nThe Morning Willows, oil on three canvas panels, 200 x 1275 cm, c. 1918-26\nThe Two Willows, oil on four canvas panels, 200 x 1700 cm, c. 1918-26\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Claude Monet, Poplars, 1891, oil on canvas, 36-5/8 x 29-3/16 inches / 93 x 74.1 cm (Philadelphia Museum of Art)'] = 'Claude Monet, Poplars, 1891, oil on canvas, 36-5/8 x 29-3/16 inches / 93 x 74.1 cm (Philadelphia Museum of Art)';
catalog['Claude Monet, The Argenteuil Bridge, 1874, oil on canvas, 60.5 x 80 cm (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nPlease note that there is significant background chatter in this video, the Mus\u00e9e d\'Orsay is happily a very busy museum and this painting is hung in a relatively small room.\n\nhttp://www.smarthistory.org/monet-the-argenteuil-bridge.html'] = 'Claude Monet, The Argenteuil Bridge, 1874, oil on canvas, 60.5 x 80 cm (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nPlease note that there is significant background chatter in this video, the Mus\u00e9e d\'Orsay is happily a very busy museum and this painting is hung in a relatively small room.\n\nhttp://www.smarthistory.org/monet-the-argenteuil-bridge.html';
catalog['Claude Monet\u200b painted more than 30 canvases depicting Rouen cathedral between 1892 and 1894. This video discusses the following four paintings in the collection\nof the Mus\u00e9e d\'Orsay in Paris:\n\nRouen Cathedral (The Portal, Grey Weather),\n1894, oil on canvas, 100 x 65 cm\n\nRouen Cathedral (The Portal and the Tour d\'Albane, Morning Effect),\n1894, oil on canvas, 106 x 73 cm\n\nRouen Cathedral (The Portal, Harmony in Blue),\n1894, oil on canvas, 91 x 63 cm\n\nClaude Monet, Rouen Cathedral (The Portal and the Tour d\'Albane in the Sunlight), 1894, oil on canvas, 107 x 73 cm\n\nSpeakers: Drs. Beth Harris and Steven Zucker'] = 'Claude Monet\u200b painted more than 30 canvases depicting Rouen cathedral between 1892 and 1894. This video discusses the following four paintings in the collection\nof the Mus\u00e9e d\'Orsay in Paris:\n\nRouen Cathedral (The Portal, Grey Weather),\n1894, oil on canvas, 100 x 65 cm\n\nRouen Cathedral (The Portal and the Tour d\'Albane, Morning Effect),\n1894, oil on canvas, 106 x 73 cm\n\nRouen Cathedral (The Portal, Harmony in Blue),\n1894, oil on canvas, 91 x 63 cm\n\nClaude Monet, Rouen Cathedral (The Portal and the Tour d\'Albane in the Sunlight), 1894, oil on canvas, 107 x 73 cm\n\nSpeakers: Drs. Beth Harris and Steven Zucker';
catalog['Claude Shannon demonstrated how to generate "english looking" text using Markov chains.'] = 'Claude Shannon zeigte, wie ein Englisch aussehenden Text mit Hilfe von Markov-Ketten generiert werden kann.';
catalog['Claude Shannon\'s idea of perfect secrecy: no amount of computational power can help improve your ability to break the one-time pad'] = 'Claude Shannons Idee der vollkommenen Geheimhaltung: die Menge an Rechenleistung hat keinen Einfluss auf Deine F\u00e4higkreit einen One-Time-Block  (deutsch: \'Einmal Block\') zu knacken';
catalog['Claus Sluter (with Claus de Werve), Mourners, Tomb of Philip the Bold, Duke of Burgundy, 1410 (Museum of Fine Arts, Dijon)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Claus Sluter (with Claus de Werve), Mourners, Tomb of Philip the Bold, Duke of Burgundy, 1410 (Museum of Fine Arts, Dijon)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Claus Sluter (with Claus de Werve), The Well of Moses, 1395-1405 (calvary finished 1399, prophets 1402-05, painted by Jean Malouel c. 1402), Asni\u00e8res stone with gilding and polychromy, slightly less than 7 meters high, originally close to 13 meters with cross. \n\nLocated on the grounds of the former Chartreuse de Champmol, a Carthusian monastery in Dijon, France established by Philip the Bold, Duke of Burgundy. \n\nThe prophets depicted include: Moses, David, Jeremiah, Zachariah, Daniel, and Isaiah.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Claus Sluter (with Claus de Werve), The Well of Moses, 1395-1405 (calvary finished 1399, prophets 1402-05, painted by Jean Malouel c. 1402), Asni\u00e8res stone with gilding and polychromy, slightly less than 7 meters high, originally close to 13 meters with cross. \n\nLocated on the grounds of the former Chartreuse de Champmol, a Carthusian monastery in Dijon, France established by Philip the Bold, Duke of Burgundy. \n\nThe prophets depicted include: Moses, David, Jeremiah, Zachariah, Daniel, and Isaiah.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Claus Sluter and Claus de Werve, Mourners, from the Tomb of Philip the Bold'] = 'Claus Sluter and Claus de Werve, Mourners, from the Tomb of Philip the Bold';
catalog['Click n\' stick base & batteries'] = 'Click n\' stick base & batteries';
catalog['Click to play!'] = 'Click to play!';
catalog['Closed curve line integrals of conservative vector fields'] = 'Closed curve line integrals of conservative vector fields';
catalog['Closed-end mutual funds'] = 'Closed-end mutual funds';
catalog['Closing stages of World War I'] = 'Endphasen des 1. Weltkriegs';
catalog['Clouds of diverse, chemical matter spun around our Sun, coming together to form our Earth and Solar System.<br>'] = 'Clouds of diverse, chemical matter spun around our Sun, coming together to form our Earth and Solar System.<br>';
catalog['Co-factors and co-enzymes assist enzymes in their function. We will learn what both co-enzymes and co-factors are, and how they might affect the catalysis of a reaction.&nbsp;By Ross Firestone.'] = 'Co-factors and co-enzymes assist enzymes in their function. We will learn what both co-enzymes and co-factors are, and how they might affect the catalysis of a reaction.&nbsp;By Ross Firestone.';
catalog['Co-factors, co-enzymes, and vitamins'] = 'Co-factors, co-enzymes, and vitamins';
catalog['Coach Reports'] = 'Coach Reports';
catalog['Coach'] = 'Trainer';
catalog['Coal, steam, and the Industrial Revolution'] = 'Kohle, Dampf und die industrielle Revolution';
catalog['Cochlear implants'] = 'Cochlear implants';
catalog['Cognition - Passage 1'] = 'Cognition - Passage 1';
catalog['Cognition - Passage 2'] = 'Cognition - Passage 2';
catalog['Cognitive dissonance'] = 'Cognitive dissonance';
catalog['Coin detector'] = 'Coin detector';
catalog['Coin flip sequences'] = 'M\u00fcnz-Wurf Folgen';
catalog['Cole, Expulsion from the Garden of Eden'] = 'Cole, Vertreibung aus dem Garten Eden';
catalog['Cole, The Oxbow'] = 'Cole, The Oxbow';
catalog['Colescott, Beauty is in the Eye of the Beholder'] = 'Colescott, die Sch\u00f6nheit liegt im Auge des Betrachters';
catalog['Collateralized debt obligation (CDO)'] = 'Collateralized debt obligation (CDO)';
catalog['Collateralized debt obligation overview'] = 'Collateralized debt obligation overview';
catalog['Collateralized debt obligations'] = 'Collateralized Debt Obligations';
catalog['Collection of interviews with and presentations by Salman Khan.  Also a few other mentions of Khan Academy at other talks.'] = 'Sammlung von Interviews und Vortr\u00e4ge von und mit Salman Khan.  Andere Gespr\u00e4che \u00fcber die Khan Academy.';
catalog['Collection of programming basics using NXT-G'] = 'Collection of programming basics using NXT-G';
catalog['Collective Learning'] = 'Kollektives Lernen';
catalog['Collective learning at scale'] = 'Collective learning at scale';
catalog['Collective learning'] = 'Collective learning';
catalog['College Algebra Brush Up'] = 'Universit\u00e4ts-Algebra auffrischen';
catalog['College Algebra II Brush Up'] = 'College Algebra II Brush Up';
catalog['College Arithmetic '] = 'College Arithmetic ';
catalog['College Arithmetic Brush Up'] = 'Universtit\u00e4ts-Arithmetik auffrischen';
catalog['College Brush Up how to'] = 'College Brush Up how to';
catalog['College Brush Up resources'] = 'College Brush Up resources';
catalog['College Geometry Brush Up'] = 'College Geometry Brush Up';
catalog['College Trigonometry Brush Up'] = 'College Trigonometry Brush Up';
catalog['College student resources'] = 'College student resources';
catalog['Collision of the Milky Way Galaxy with Andromeda (forming "Milkomeda")'] = 'Kollision der Milchstra\u00dfe mit Andromeda (zusammen die "Milkomeda")';
catalog['Colon Disease'] = 'Darmerkrankungen';
catalog['Colon disease'] = 'Colon disease';
catalog['Colon dysplasia'] = 'Colon dysplasia';
catalog['Colonial Americas'] = 'Colonial Americas';
catalog['Color in organic molecules'] = 'Farbe in organischen Molek\u00fclen';
catalog['Colored shadows introduction'] = 'Colored shadows introduction';
catalog['Colored shadows'] = 'Colored shadows';
catalog['Coloring'] = 'Farbgebung';
catalog['Colosseum (Amphitheatrum Flavium), c. 70-80 C.E., Rome Speakers: Valentina Follo (courtesy of Context Travel), Dr. Beth Harris, Dr. Steven Zucker Cover photo by Julia Avra Ugoretz Views of the Colosseum were taken from the Rome Reborn model of ancient Rome with the permission of The Rome Reborn Project (www.romereborn.virginia.edu). The model is copyright 2004 by The Regents of the University of California. All rights reserved. This video illustrates the latest version of the model (2.1), which was created from January to May, 2010. It is available in higher resolution; for copies, please write to: http://bernard.d.frischer@gmail.com Speakers: Valentina Follo (courtesy of Context Travel), Dr. Beth Harris, Dr. Steven Zucker Cover photo by Julia Avra Ugoretz Views of the Colosseum were taken from the Rome Reborn model of ancient Rome with the permission of The Rome Reborn Project (www.romereborn.virginia.edu). The model is copyright 2004 by The Regents of the University of California. All rights reserved. This video illustrates the latest version of the model (2.1), which was created from January to May, 2010. It is available in higher resolution; for copies, please write to: http://bernard.d.frischer@gmail.com'] = 'Colosseum (Amphitheatrum Flavium), c. 70-80 C.E., Rome Speakers: Valentina Follo (courtesy of Context Travel), Dr. Beth Harris, Dr. Steven Zucker Cover photo by Julia Avra Ugoretz Views of the Colosseum were taken from the Rome Reborn model of ancient Rome with the permission of The Rome Reborn Project (www.romereborn.virginia.edu). The model is copyright 2004 by The Regents of the University of California. All rights reserved. This video illustrates the latest version of the model (2.1), which was created from January to May, 2010. It is available in higher resolution; for copies, please write to: http://bernard.d.frischer@gmail.com Speakers: Valentina Follo (courtesy of Context Travel), Dr. Beth Harris, Dr. Steven Zucker Cover photo by Julia Avra Ugoretz Views of the Colosseum were taken from the Rome Reborn model of ancient Rome with the permission of The Rome Reborn Project (www.romereborn.virginia.edu). The model is copyright 2004 by The Regents of the University of California. All rights reserved. This video illustrates the latest version of the model (2.1), which was created from January to May, 2010. It is available in higher resolution; for copies, please write to: http://bernard.d.frischer@gmail.com';
catalog['Columbus, de Gama, and Zheng He! 15th Century Mariners'] = 'Columbus, de Gama und Zheng He! Seeleute des 15. Jahrhunderts';
catalog['Column chromatography'] = 'Column chromatography';
catalog['Column of Trajan, Carrara marble, completed 113 C.E., Rome Dedicated to Emperor Trajan (Marcus Ulpius Nerva Traianus b. 53 , d. 117 C.E.) in honor of his victory over Dacia (now Romania) 101-02 and 105-06 C.E.<br />\n<br />\nDedicated to Emperor Trajan (Marcus Ulpius Nerva Traianus b. 53 , d. 117 C.E.) in honor of his victory over Dacia (now Romania) 101-02 and 105-06 C.E.<br />\n<br />\nThe inscription on the base is the source of the typeface Trajan and reads (with abbreviations spelled out):<br />\n<br />\nSENATUS POPULUSQUE ROMANUS<br />\nIMPERATORI CAESARI DIVI NERVAE FILIO NERVAE<br />\nTRAIANO AUGUSTO GERMANICO DACICO PONTIFICI<br />\nMAXIMO TRIBUNICIA POTESTATE XVII IMPERATORI VI CONSULI VI PATRI PATRIAE<br />\nAD DECLARANDUM QUANTAE ALTITUDINIS<br />\nMONS ET LOCUS TAN[TIS OPER]IBUS SIT EGESTUS<br />\n<br />\nThe Senate and the People of Rome<br />\nTo Emperor Caesar Nerva Trajan Augustus, son of the divine Nerva<br />\nConqueror of Germany and Dacia, high priest, with the office of the tribune 17 times<br />\nProclaimed Imperator 6 times, elected consul 6 times, father of the Empire<br />\nHere shows the height which this hill once stood<br />\nNow removed for such great works as these<br />\n<br />\nSpeakers:&nbsp;Valentina Follo (courtesy of&nbsp;Context Travel),&nbsp;Dr. Beth Harris,&nbsp;Dr. Steven Zucker'] = 'Column of Trajan, Carrara marble, completed 113 C.E., Rome Dedicated to Emperor Trajan (Marcus Ulpius Nerva Traianus b. 53 , d. 117 C.E.) in honor of his victory over Dacia (now Romania) 101-02 and 105-06 C.E.<br />\n<br />\nDedicated to Emperor Trajan (Marcus Ulpius Nerva Traianus b. 53 , d. 117 C.E.) in honor of his victory over Dacia (now Romania) 101-02 and 105-06 C.E.<br />\n<br />\nThe inscription on the base is the source of the typeface Trajan and reads (with abbreviations spelled out):<br />\n<br />\nSENATUS POPULUSQUE ROMANUS<br />\nIMPERATORI CAESARI DIVI NERVAE FILIO NERVAE<br />\nTRAIANO AUGUSTO GERMANICO DACICO PONTIFICI<br />\nMAXIMO TRIBUNICIA POTESTATE XVII IMPERATORI VI CONSULI VI PATRI PATRIAE<br />\nAD DECLARANDUM QUANTAE ALTITUDINIS<br />\nMONS ET LOCUS TAN[TIS OPER]IBUS SIT EGESTUS<br />\n<br />\nThe Senate and the People of Rome<br />\nTo Emperor Caesar Nerva Trajan Augustus, son of the divine Nerva<br />\nConqueror of Germany and Dacia, high priest, with the office of the tribune 17 times<br />\nProclaimed Imperator 6 times, elected consul 6 times, father of the Empire<br />\nHere shows the height which this hill once stood<br />\nNow removed for such great works as these<br />\n<br />\nSpeakers:&nbsp;Valentina Follo (courtesy of&nbsp;Context Travel),&nbsp;Dr. Beth Harris,&nbsp;Dr. Steven Zucker';
catalog['Column space of a matrix'] = 'Column space of a matrix';
catalog['Combination of attempts on exercises and videos watched.'] = 'Combination of attempts on exercises and videos watched.';
catalog['Combinations'] = 'Kombinationen';
catalog['Combine like terms in expressions with variables using exponent rules.'] = 'Fass \u00e4hnliche Terme zusammen in Ausdr\u00fccken mit Variablen, indem du Exponentialregeln verwendest.';
catalog['Combine like terms with positive and negative numbers using distribution'] = 'Fasse \u00e4hnliche Terme mit positiven und negativen Zahlen zusammen durch Ausmultiplizieren';
catalog['Combining functions with arithmetic operations'] = 'Combining functions with arithmetic operations';
catalog['Combining like terms 1'] = 'Gleichartige Terme zusammenfassen 1';
catalog['Combining like terms 2'] = 'GleichartigeTerme zusammenfassen 2';
catalog['Combining like terms 3'] = 'Zusammenfassen \u00e4hnlicher Terme 3';
catalog['Combining like terms and the distributive property'] = 'Zusammenfassen \u00e4hnlicher Terme und das Distributivgesetz';
catalog['Combining like terms with distribution'] = 'Fasse Terme zusammen durch Ausmultiplizieren';
catalog['Combining like terms with positive and negative numbers'] = 'Kombiniere \u00e4hnliche Terme mit positiven und negativen Zahlen';
catalog['Combining like terms'] = 'Terme zusammenfassen';
catalog['Combining text and photography, contemporary artist Carrie Mae Weems explores the notion of a narrative within her work. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Combining text and photography, contemporary artist Carrie Mae Weems explores the notion of a narrative within her work. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Combining text and photography, contemporary artist Eileen Cowin explores narrative within her work. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Combining text and photography, contemporary artist Eileen Cowin explores narrative within her work. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Come behind the scenes and watch the staff and artists at work.'] = 'Schau hinter die Kulissen des MoMA und sieh den K\u00fcnstlern und Mitarbeitern bei ihrer Arbeit zu.';
catalog['Common Divisibility Examples'] = 'Beispiele f\u00fcr Teilbarkeit';
catalog['Common and Systematic Naming-Iso, Sec and Tert Prefixes'] = 'Trivialnamen und systematische Nomenklatur,\n iso-, sec- und tert- Pr\u00e4fixe';
catalog['Common and systematic naming: iso-, sec-, and tert- prefixes'] = 'Trivialnamen und systematische Nomenklatur:  iso-, sec- und tert- Pr\u00e4fixe';
catalog['Common divisibility examples'] = 'Beispiele f\u00fcr Teilbarkeit';
catalog['Common orthocenter and centroid'] = 'Common orthocenter and centroid';
catalog['Communication, transportation, and greater connection: the pace of innovation continued to accelerate, stimulating a tremendous appetite for energy.'] = 'Communication, transportation, and greater connection: the pace of innovation continued to accelerate, stimulating a tremendous appetite for energy.';
catalog['Communism'] = 'Kommunismus';
catalog['Communists, Nationalists, and China\'s Revolutions'] = 'Kommunisten, Nationalisten und Chinas Revolutionen';
catalog['Community ecology II: Predators'] = 'Gesellschafts\u00f6kologie II: Raubtiere';
catalog['Community ecology: Feel the love'] = 'Gesellschafts\u00f6kologie: Sp\u00fcr die Liebe';
catalog['Commutative Law of Addition'] = 'Kommutativgesetz der Addition';
catalog['Commutative Law of Multiplication'] = 'Kommutativgesetz der Multiplikation';
catalog['Commutative Property for Addition'] = 'Kommutativ-Gesetz f\u00fcr Addition';
catalog['Commutative law of addition'] = 'Kommutativgesetz der Addition';
catalog['Commutative law of multiplication'] = 'Kommutativgesetz der Multiplikation';
catalog['Commutative property for addition'] = 'Kommutativ-Gesetz f\u00fcr Addition';
catalog['Companies often buy or merge with other companies using shares (which is sometimes less intuitive than when they use cash).  This tutorial walks through the mechanics of how this happens and details what is likely to happen in the public markets because of the transaction (including opportunities for arbitrage).'] = 'Oftmals nutzen Unternehmen Aktioen, um andere Unternehmen aufzukaufen oder sich mit ihnen zusammenzuschliessen (das ist manchmal weniger intuitiv als die Nutzung von Geld). Diese \u00dcbung zeigt die Schritte solcher Transaktionen auf und geht auf die m\u00f6glichen Reaktionen der Finanzm\u00e4rkte ein (wir sprechen auch \u00fcber "Arbitrage" - die Nutzungen von Kursunteschieden).';
catalog['Comparative advantage and absolute advantage'] = 'Comparative advantage and absolute advantage';
catalog['Comparative advantage and gains from trade'] = 'Komparativer Kostenvorteil und Vorteile von Handel';
catalog['Comparative advantage specialization and gains from trade'] = 'Comparative advantage specialization and gains from trade';
catalog['Comparative anatomy: What makes us animals'] = 'Vergleichende Anatomie: was uns zu Tieren macht';
catalog['Compare groups through 10'] = 'Gruppen bis 10 vergleichen';
catalog['Compare shapes'] = 'Formen vergleichen';
catalog['Compare the absolute values of two numbers, or compare the absolute value of one number to another number.'] = 'Vergleiche die Absolutwerte von zwei Zahlen, oder vergleiche den Absolutwert einer Zahl mit einer anderen Zahl.';
catalog['Compare the hair dryer motor to the one you can build'] = 'Compare the hair dryer motor to the one you can build';
catalog['Compare the risks and benefits of the flu vaccine side-by-side and decide for yourself if flu vaccines are a good idea.  \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Compare the risks and benefits of the flu vaccine side-by-side and decide for yourself if flu vaccines are a good idea.  \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Comparing Accrual and Cash Accounting'] = 'Comparing Accrual and Cash Accounting';
catalog['Comparing Celsius and Farenheit temperature scales'] = 'Vergleich zwischen Celsius und Fahrenheit-Temperatur-Skalen';
catalog['Comparing Decimals'] = 'Dezimalzahlen vergleichen';
catalog['Comparing ETF\'s,  open-end, and closed-end funds'] = 'Comparing ETF\'s,  open-end, and closed-end funds';
catalog['Comparing Fractions'] = 'Br\u00fcche vergleichen';
catalog['Comparing Population Proportions 1'] = 'Vergleich von Anteilen in der Grundgesamtheit 1';
catalog['Comparing Population Proportions 2'] = 'Vergleich von Anteilen in der Grundgesamtheit 2';
catalog['Comparing absolute values'] = 'Absolute Werte vergleichen';
catalog['Comparing accrual and cash accounting'] = 'Comparing accrual and cash accounting';
catalog['Comparing ages'] = 'Alter vergleichen';
catalog['Comparing and interpreting functions'] = 'Vergleich und Interpretation von Funktionen';
catalog['Comparing and sampling populations'] = 'Vergleiche und Stichproben von Populationen';
catalog['Comparing area and perimeter'] = 'Vergleich von Fl\u00e4che und Umfang';
catalog['Comparing areas and perimeters of rectangles'] = 'Vergleich von Fl\u00e4che und Umfang eines Rechtecks';
catalog['Comparing areas by multiplying'] = 'Vergleich von Fl\u00e4chen durch Multiplikation';
catalog['Comparing areas of plots of land'] = 'Fl\u00e4chen von Grundst\u00fccken vergleichen';
catalog['Comparing closed-end and open-ended mutual funds'] = 'Geschlossene und offene Investmentfonds vergleichen';
catalog['Comparing decimal place value'] = 'Vergleich der Dezimalstellen';
catalog['Comparing decimals 1'] = 'Dezimalzahlen vergleichen 1';
catalog['Comparing decimals 2'] = 'Dezimalzahlen vergleichen 2';
catalog['Comparing decimals example 1'] = 'Vergleich von Dezimalzahlen - Beispiel 1';
catalog['Comparing decimals example 2'] = 'Vergleich von Dezimalzahlen - Beispiel 2';
catalog['Comparing decimals example 3'] = 'Vergleich von Dezimalzahlen - Beispiel 3';
catalog['Comparing decimals example 4'] = 'Vergleich von Dezimalzahlen - Beispiel 4';
catalog['Comparing decimals'] = 'Dezimalzahlen vergleichen';
catalog['Comparing depreciation and amortization'] = 'Comparing depreciation and amortization';
catalog['Comparing exponential and logarithmic functions'] = 'Comparing exponential and logarithmic functions';
catalog['Comparing exponential and quadratic models'] = 'Comparing exponential and quadratic models';
catalog['Comparing features of functions 2 (example 1)'] = 'Merkmale von Funktionen vergleichen 2 (Beispiel 1)';
catalog['Comparing features of functions 2 (example 2)'] = 'Merkmale von Funktionen vergleichen 2 (Beispiel 2)';
catalog['Comparing features of functions 2 (example 3)'] = 'Merkmale von Funktionen vergleichen 2 (Beispiel 3)';
catalog['Comparing features of functions 2'] = 'Comparing features of functions 2';
catalog['Comparing fractions 1'] = 'Br\u00fcche vergleichen 1';
catalog['Comparing fractions 2'] = 'Br\u00fcche vergleichen 2';
catalog['Comparing fractions of different wholes'] = 'Br\u00fcche von verschiedenen Ganzen vergleichen';
catalog['Comparing fractions visually and on number line'] = 'Br\u00fcche visuell und auf der Zahlengerade vergleichen';
catalog['Comparing fractions with greater than and less than symbols'] = 'Vergleichen von Br\u00fcchen mit gr\u00f6\u00dfer als und kleiner als Zeichen';
catalog['Comparing fractions with like numerators and denominators'] = 'Br\u00fcche mit gleichem Z\u00e4hler und Nenner vergleichen';
catalog['Comparing fractions with the same denominator'] = 'Vergleichen von Br\u00fcchen mit dem gleichen Nenner';
catalog['Comparing fractions with the same numerator'] = 'Br\u00fcche mit dem gleichen Z\u00e4hler vergleichen';
catalog['Comparing fractions'] = 'Br\u00fcche vergleichen';
catalog['Comparing growth rates of exponentials and polynomials'] = 'Comparing growth rates of exponentials and polynomials';
catalog['Comparing improper fractions and mixed numbers'] = 'Vergleich von unechten Br\u00fcchen und gemischten Zahlen';
catalog['Comparing insurance with expected value'] = 'Comparing insurance with expected value';
catalog['Comparing iterative and recursive factorial functions'] = 'Comparing iterative and recursive factorial functions';
catalog['Comparing lengths'] = 'Vergleichen von L\u00e4ngen';
catalog['Comparing linear functions 1'] = 'Vergleich linearer Funktionen 1';
catalog['Comparing linear functions 2'] = 'Vergleich linearer Funktionen 2';
catalog['Comparing linear functions 3'] = 'Vergleich linearer Funktionen 3';
catalog['Comparing linear functions applications 1'] = 'Lineare Funktionen vergleichen - Anwendung 1';
catalog['Comparing linear functions applications 2'] = 'Lineare Funktionen vergleichen - Anwendung 2';
catalog['Comparing linear functions applications 3'] = 'Lineare Funktionen vergleichen - Anwendung 3';
catalog['Comparing linear functions applications'] = 'Lineare Funktionen vergleichen: Anwendung';
catalog['Comparing linear functions'] = 'Vergleich linearer Funktionen';
catalog['Comparing magic strength'] = 'Magische St\u00e4rke vergleichen';
catalog['Comparing means of distributions'] = 'Comparing means of distributions';
catalog['Comparing numbers through 10'] = 'Vergleichen von Zahlen bis 10';
catalog['Comparing numbers within 1000'] = 'Vergleichen von Zahlen bis 1000';
catalog['Comparing on number line'] = 'Vergleich auf der Zahlengerade';
catalog['Comparing perpendicular bisectors to angle bisectors to medians to altitudes'] = 'Comparing perpendicular bisectors to angle bisectors to medians to altitudes';
catalog['Comparing place values in decimals'] = 'Die Wertigkeit der Zahlen je nach Stelle innerhalb der Dezimalzahl';
catalog['Comparing place values'] = 'Stellenwerte vergleichen';
catalog['Comparing population proportions 1'] = 'Vergleich von Anteilen in der Grundgesamtheit 1';
catalog['Comparing population proportions 2'] = 'Vergleich von Anteilen in der Grundgesamtheit 2';
catalog['Comparing populations'] = 'Comparing populations';
catalog['Comparing poster area'] = 'Vergleich von Poster-Fl\u00e4chen';
catalog['Comparing proportional relationships'] = 'Vergleichen proportionaler Beziehungen';
catalog['Comparing quantitative easing in Japan to "credit easing" in the United States'] = 'Comparing quantitative easing in Japan to "credit easing" in the United States';
catalog['Comparing rates'] = 'Vergleich von Steigerungsraten';
catalog['Comparing side lengths after dilation'] = 'Comparing side lengths after dilation';
catalog['Comparing swim times at the Olympics'] = 'Vergleichen der Schwimmzeiten bei den Olympischen Spielen';
catalog['Comparing the Eastern and Western fronts in WWI'] = 'Comparing the Eastern and Western fronts in WWI';
catalog['Comparing the patterns of Korea, Cuba and Vietnam'] = 'Comparing the patterns of Korea, Cuba and Vietnam';
catalog['Comparing throws'] = 'Vergleichen von W\u00fcrfen';
catalog['Comparing two-digit numbers 1'] = 'Zweistellige Zahlen vergleichen 1';
catalog['Comparing whole number place values'] = 'Vergleich des Stellenwerts von ganzen Zahlen';
catalog['Comparing whole numbers'] = 'Ganze Zahlen vergleichen';
catalog['Comparing with multiplication exercise'] = 'Vergleich mit Multiplikation \u00dcbung';
catalog['Comparing with multiplication'] = 'Vergleich mit der Multiplikation';
catalog['Compass build (magnet orientation)'] = 'Compass build (magnet orientation)';
catalog['Compass build (stroke direction)'] = 'Compass build (stroke direction)';
catalog['Compass challenge'] = 'Compass challenge';
catalog['Compass constructions 1'] = 'Kompass Konstruktionen 1';
catalog['Compass constructions 2'] = 'Kompass Konstruktionen 2';
catalog['Compass interactions'] = 'Compass interactions';
catalog['Compass: Which way is north?'] = 'Kompass: Welche Richtung ist Norden?';
catalog['Complementary and supplementary angles'] = 'Komplement\u00e4r- und Erg\u00e4nzungswinkel';
catalog['Complete example of a Bernoulli\'s Equation exercise.'] = 'Complete example of a Bernoulli\'s Equation exercise.';
catalog['Complete'] = 'Complete';
catalog['Completed'] = 'Completed';
catalog['Completing the Square 4'] = 'Quadrate vervollst\u00e4ndigen 4';
catalog['Completing the Square to Solve Quadratic Equations'] = 'Vervollst\u00e4ndige das Quadrat, um quadratische Gleichungen zu l\u00f6sen';
catalog['Completing the square and the quadratic formula'] = 'Quadratische Erg\u00e4nzung und quadratische Gleichung';
catalog['Completing the square for quadratic formula'] = 'Vervollst\u00e4ndige des Quadrats f\u00fcr die quadratische Formel';
catalog['Completing the square for vertex form'] = 'Vervollst\u00e4ndigen des Quadrats f\u00fcr die Vertex-Form';
catalog['Completing the square in quadratic expressions'] = 'Vervollst\u00e4ndige das Quadrat in quadratischen Ausdr\u00fccken';
catalog['Completing the square to write equation in standard form of a circle'] = 'Completing the square to write equation in standard form of a circle';
catalog['Completing the square'] = 'Das Quadrat vervollst\u00e4ndigen';
catalog['Complex Conjugates'] = 'Komplexe Konjugationen';
catalog['Complex Roots from the Quadratic Formula'] = 'Komplexe Wurzeln als L\u00f6sung der Mitternachtsformel';
catalog['Complex and repeated roots of characteristic equation'] = 'Komplexe und wiederholte Wurzeln der charakteristischen Gleichung';
catalog['Complex animals: Annelids & arthropods'] = 'Komplexe Tiere: Ringelw\u00fcrmer & Arthropoden';
catalog['Complex conjugates example'] = 'Beispiel zu komplexer Konjugation';
catalog['Complex conjugates'] = 'Komplexe Konjugationen';
catalog['Complex determinant example'] = 'Complex determinant example';
catalog['Complex number introduction'] = 'Complex number introduction';
catalog['Complex number polar form intuition exercise'] = 'Complex number polar form intuition exercise';
catalog['Complex number polar form intuition'] = 'Intuition komplexer Zahlen in Polarform';
catalog['Complex numbers'] = 'Komplexe Zahlen';
catalog['Complex plane operations'] = 'Complex plane operations';
catalog['Complex roots of the characteristic equations 1'] = 'Komplexe Wurzeln der charakteristischen Gleichungen 1';
catalog['Complex roots of the characteristic equations 2'] = 'Komplexe Wurzeln der charakteristischen Gleichungen 2';
catalog['Complex roots of the characteristic equations 3'] = 'Komplexe Wurzeln der charakteristischen Gleichungen 3';
catalog['Compliance - decreased blood pressure'] = 'Compliance - decreased blood pressure';
catalog['Compliance - increased blood flow'] = 'Compliance - increased blood flow';
catalog['Compliance and elastance'] = 'Compliance and elastance';
catalog['Component mounting holes'] = 'Component mounting holes';
catalog['Components of GDP'] = 'Komponenten des BIP';
catalog['Components of attitudes'] = 'Components of attitudes';
catalog['Compose shapes'] = 'Formen zusammensetzen';
catalog['Composing functions'] = 'Zusammensetzung von Funktionen';
catalog['Composing shapes'] = 'Formen zusammensetzen';
catalog['Composite numbers'] = 'Zusammengesetzte Zahlen';
catalog['Compositional and mechanical layers of the earth'] = 'Compositional and mechanical layers of the earth';
catalog['Compositions of linear transformations 1'] = 'Compositions of linear transformations 1';
catalog['Compositions of linear transformations 2'] = 'Compositions of linear transformations 2';
catalog['Compound Inequalities 2'] = 'Zusammengesetzte Ungleichungen 2';
catalog['Compound Inequalities 3'] = 'Zusammengesetzte Ungleichungen 3';
catalog['Compound Inequalities 4'] = 'Zusammengesetzte Ungleichungen 4';
catalog['Compound Inequalities'] = 'Zusammengesetzte Ungleichungen';
catalog['Compound and absolute value inequalities'] = 'Zusammengesetzte Ungleichungen und solche mit Betr\u00e4gen';
catalog['Compound events example using diagram'] = 'Beispiel f\u00fcr bedingte Ereignisse mit Diagramm';
catalog['Compound events example with tree diagram'] = 'Compound events example with tree diagram';
catalog['Compound events'] = 'Verkn\u00fcpfte Ereignisse';
catalog['Compound inequalities 2'] = 'Zusammengesetzte Ungleichungen 2';
catalog['Compound inequalities 3'] = 'Zusammengesetzte Ungleichungen 3';
catalog['Compound inequalities 4'] = 'Zusammengesetzte Ungleichungen 4';
catalog['Compound inequalities'] = 'Zusammengesetzte Ungleichungen';
catalog['Compound interest and e (part  3)'] = 'Compound interest and e (part  3)';
catalog['Compound interest and e (part 2)'] = 'Compound interest and e (part 2)';
catalog['Compound interest and e (part 4)'] = 'Compound interest and e (part 4)';
catalog['Compound interest basics'] = 'Grundlagen zu Zinsen und Zinseszinsen';
catalog['Compound probability of independent events'] = 'Zusammengesetzte Wahrscheinlichkeit f\u00fcr unabh\u00e4ngige Ereignisse';
catalog['Compound, independent events'] = 'Zusammengesetze und unabh\u00e4ngige Ereignisse';
catalog['Compounding 100% annual interest continuously over a year converges to e (2.71...)'] = 'Compounding 100% annual interest continuously over a year converges to e (2.71...)';
catalog['Compounding interest multiple times a year.'] = 'Einen Zins mehrfach pro Jahr verzinsen.';
catalog['Compression codes'] = 'Compression codes';
catalog['Compute the expected value given a set of outcomes, probabilities, and payoffs'] = 'Berechne den Erwartungswert bei gegebenen Ergebnissen, Wahrscheinlichkeiten und Erfolgen';
catalog['Computer memory (space)'] = 'Computerspeicher (Gr\u00f6\u00dfe)';
catalog['Computer programming'] = 'Computerprogrammierung';
catalog['Computer science undergrad on value of self-learning'] = 'Computer science undergrad on value of self-learning';
catalog['Computer science'] = 'Informatik';
catalog['Computing expressions using trig addition and subtraction identities'] = 'Computing expressions using trig addition and subtraction identities';
catalog['Computing in scientific notation'] = 'Mit der wissenschaftlichen Schreibweise rechnen';
catalog['Computing with scientific notation'] = 'Mit der wissenschaftlichen Schreibweise rechnen';
catalog['Computing'] = 'Computer';
catalog['Concave Lenses'] = 'Konkave Linsen';
catalog['Concave lenses'] = 'Concave lenses';
catalog['Concavity and inflection points'] = 'Concavity and inflection points';
catalog['Concavity and the second derivative'] = 'Concavity and the second derivative';
catalog['Concavity, concave upwards and concave downwards intervals'] = 'Concavity, concave upwards and concave downwards intervals';
catalog['Concept of multiplication and division'] = 'Konzept der Multiplikation und Division';
catalog['Conceptual Art'] = 'Conceptual Art';
catalog['Conceptual art'] = 'Conceptual art';
catalog['Conceptual clarification for 2D divergence theorem'] = 'Conceptual clarification for 2D divergence theorem';
catalog['Conceptual proof that the internal energy of an ideal gas system is 3/2 PV.'] = 'Conceptual proof that the internal energy of an ideal gas system is 3/2 PV.';
catalog['Conceptual question testing understanding of Newton\'s Third Law of Motion'] = 'Konzeptuelle Frage zum Testen der Verst\u00e4ndnisses des dritten newtonschen Gesetzes der Bewegung';
catalog['Conceptual understanding of dividing fractions by fractions'] = 'Konzeptionelles Verst\u00e4ndnis der Division von Br\u00fcchen durch Br\u00fcche';
catalog['Conceptual understanding of flux across a two-dimensional surface'] = 'Conceptual understanding of flux across a two-dimensional surface';
catalog['Conceptual understanding of flux in three dimensions'] = 'Conceptual understanding of flux in three dimensions';
catalog['Conceptual understanding of multiplying fractions and whole numbers'] = 'Grunds\u00e4tzliches Verstehen wie Br\u00fcche und ganze Zahlen multipliziert werden';
catalog['Conceptual understanding of where the formula for binomial coefficients come from'] = 'Conceptual understanding of where the formula for binomial coefficients come from';
catalog['Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable'] = 'Konzeptionelles Verst\u00e4ndnis  zur L\u00f6sung einer Gleichung durch Division beider Seiten';
catalog['Conceptual understanding of why the curl of a vector field along a surface would relate to the line integral around the surface\'s boundary'] = 'Conceptual understanding of why the curl of a vector field along a surface would relate to the line integral around the surface\'s boundary';
catalog['Conceptual videos and worked examples from basic algebra through algebra 2. Includes videos from the former algebra worked examples playlists.'] = 'Conceptual videos and worked examples from basic algebra through algebra 2. Includes videos from the former algebra worked examples playlists.';
catalog['Conceptualizing decimals and place notation'] = 'Dezimalzahlen und Stellenwert-Notation';
catalog['Conceptualizing decimals and place value'] = 'Konzeptualisierung von Dezimalzahlen und Stellenwerten';
catalog['Conceptualizing fraction multiplication'] = 'Wie die Multiplikation von Br\u00fcchen funktioniert';
catalog['Concrete example of the derivative of a vector valued function to better understand what it means'] = 'Concrete example of the derivative of a vector valued function to better understand what it means';
catalog['Concrete example using a line integral'] = 'Concrete example using a line integral';
catalog['Conditional probability and combinations'] = 'Bedingte Wahrscheinlichkeit und Kombinationen';
catalog['Conditional probability visualized using trees.'] = 'Bedingte Wahrscheinlichkeit - dargestellt anhand von B\u00e4umen.';
catalog['Conditional probability warmup'] = 'Conditional probability warmup';
catalog['Conditions for perfect competition.  Looking at the airline industry'] = 'Bedingungen f\u00fcr den perfekten Wettbewerb.  Blick auf die Luftfahrt-Industrie';
catalog['Conditions for stokes theorem'] = 'Conditions for stokes theorem';
catalog['Confidence Interval Example'] = 'Beispiel f\u00fcr einen Vertrauensbereich';
catalog['Confidence Interval of Difference of Means'] = 'Konfidenzintervall der Abweichung vom Mittelwert';
catalog['Confidence interval 1'] = 'Konfidenzintervall 1';
catalog['Confidence interval example'] = 'Konfidenzintervall Beispiel';
catalog['Confidence interval of difference of means'] = 'Konfidenzintervall der Abweichung vom Mittelwert';
catalog['Confidence intervals'] = 'Konfidenintervalle';
catalog['Confident intervals'] = 'Konfidenzbereiche';
catalog['Confirm password'] = 'Passwort wiederholen';
catalog['Confirm password:'] = 'Passwort wiederholen:';
catalog['Conflict theory'] = 'Conflict theory';
catalog['Conformational stability: Protein folding and denaturation'] = 'Conformational stability: Protein folding and denaturation';
catalog['Conformations of alkanes and cycloalkanes'] = 'Conformations of alkanes and cycloalkanes';
catalog['Conformations of butane'] = 'Conformations of butane';
catalog['Conformations of cyclohexane I: Chair and boat'] = 'Konformationen von Cyclohexan I: Sessel und Wanne';
catalog['Conformations of cyclohexane II: Monosubstituted'] = 'Konformationen von Cyclohexan II: Monosubstituiert';
catalog['Conformations of cyclohexane III: Disubstituted'] = 'Konformationen von Cyclohexan III: Disubstituiert';
catalog['Conformations of cyclohexane IV: Trisubstituted'] = 'Conformations of cyclohexane IV: Trisubstituted';
catalog['Conformations of ethane and propane'] = 'Konformationen von Ethan und Propan';
catalog['Conformations'] = 'Konformationen';
catalog['Conformity and groupthink'] = 'Conformity and groupthink';
catalog['Confucian scholar\'s house'] = 'Confucian scholar\'s house';
catalog['Congratulations!'] = 'Congratulations!';
catalog['Congratulations, this device has now been registered.'] = 'Gl\u00fcckwunsch, dieses Ger\u00e4t ist jetzt registriert.';
catalog['Congruence and isosceles and equilateral triangles'] = 'Kongruenz und gleichschenklige und gleichseitige Dreiecke';
catalog['Congruence postulates'] = 'Kongruenzs\u00e4tze';
catalog['Congruence relation'] = 'Congruence relation';
catalog['Congruence'] = 'Kongruenz';
catalog['Congruency postulates'] = 'Kongruenzs\u00e4tze';
catalog['Congruent angles'] = 'Kongruente Winkel';
catalog['Congruent legs and base angles of isosceles triangles'] = 'Congruent legs and base angles of isosceles triangles';
catalog['Congruent segments'] = 'Kongruente Strecken';
catalog['Congruent triangle example 2'] = 'Kongruente Dreiecke - Beispiel 2';
catalog['Congruent triangle proof example'] = 'Kongruente Dreiecke - Beweis-Beispiel';
catalog['Congruent triangles 1'] = 'Kongruente Dreiecke 1';
catalog['Congruent triangles 2'] = 'Kongruente Dreiecke 2';
catalog['Congruent triangles and SSS'] = 'Kongruente Dreiecke und SSS';
catalog['Conic section basics'] = 'Grundlagen zu Kegelschnitten';
catalog['Conic sections'] = 'Kegelschnitte';
catalog['Conic sections: Hyperbolas 2'] = 'Kegelschnitte: Hyperbeln 2';
catalog['Conic sections: Hyperbolas 3'] = 'Kegelschnitte: Hyperbeln 3';
catalog['Conic sections: Intro to circles'] = 'Kegelschnitte: Einf\u00fchrung in Kreise';
catalog['Conic sections: Intro to ellipses'] = 'Kegelschnitte: Einf\u00fchrung in Ellipsen';
catalog['Conic sections: Intro to hyperbolas'] = 'Kegelschnitte: Einf\u00fchrung in Hyperbeln';
catalog['Conics from equations'] = 'Kegelschnitte aus Gleichungen';
catalog['Conics in the IIT JEE'] = 'Kegel in der IIT JEE';
catalog['Conjugate acids and bases'] = 'Conjugate acids and bases';
catalog['Conjugation and color'] = 'Conjugation and color';
catalog['Conjugation, Diels-Alder, and MO theory'] = 'Konjugation, Diels-Alder und MO-Theorie';
catalog['Conjunctions'] = 'Konjunktionen';
catalog['Connect the LEDs to an on/off switch'] = 'Connect the LEDs to an on/off switch';
catalog['Connect the SPDT switches'] = 'Connect the SPDT switches';
catalog['Connecting Pascal\'s triangle to binomial combinatorics'] = 'Connecting Pascal\'s triangle to binomial combinatorics';
catalog['Connecting the first and second fundamental theorems of calculus'] = 'Connecting the first and second fundamental theorems of calculus';
catalog['Connecting the keynesian cross to the IS curve'] = 'Connecting the keynesian cross to the IS curve';
catalog['Connection Information'] = 'Connection Information';
catalog['Connection between even and odd numbers and functions'] = 'Verbindung zwischen geraden und ungeraden Zahlen und Funktionen';
catalog['Conservation and installation of cosmological painting'] = 'Conservation and installation of cosmological painting';
catalog['Conservation and restoration ecology'] = 'Konservierungs- und Restaurierungs\u00f6kologie';
catalog['Conservation of angular momentum'] = 'Conservation of angular momentum';
catalog['Conservation of antiquities'] = 'Conservation of antiquities';
catalog['Conservation of energy'] = 'Conservation of energy';
catalog['Conservation of mosaics in Roman North Africa'] = 'Conservation of mosaics in Roman North Africa';
catalog['Conservation of paintings'] = 'Conservation of paintings';
catalog['Conservation of sculpture and decorative arts'] = 'Conservation of sculpture and decorative arts';
catalog['Conservation of works on paper'] = 'Conservation of works on paper';
catalog['Conservation | Paik, "Untitled," 1993'] = 'Conservation | Paik, "Untitled," 1993';
catalog['Conservation | Picasso\'s Guitars, 1912-1914'] = 'Conservation | Picasso\'s Guitars, 1912-1914';
catalog['Conservation | Pollock, "One: Number 31, 1950"'] = 'Conservation | Pollock, "One: Number 31, 1950"';
catalog['Conservation | Ren\u00e9 Magritte, "The False Mirror," 1928'] = 'Conservation | Ren\u00e9 Magritte, "The False Mirror," 1928';
catalog['Conservation | Ren\u00e9 Magritte, "The Menaced Assassin," 1927'] = 'Conservation | Ren\u00e9 Magritte, "The Menaced Assassin," 1927';
catalog['Conservation | Ren\u00e9 Magritte, "The Palace of Curtains, III," 1928-29'] = 'Conservation | Ren\u00e9 Magritte, "The Palace of Curtains, III," 1928-29';
catalog['Conservation | Ren\u00e9 Magritte, "The Portrait," 1935'] = 'Conservation | Ren\u00e9 Magritte, "The Portrait," 1935';
catalog['Conservation'] = 'Conservation';
catalog['Conservation: copper paint deterioration'] = 'Conservation: copper paint deterioration';
catalog['Conservative forces'] = 'Conservative forces';
catalog['Conserving bronze: "The Lamp with Erotes from Vani"'] = 'Conserving bronze: "The Lamp with Erotes from Vani"';
catalog['Conserving old master drawings: a balancing act'] = 'Conserving old master drawings: a balancing act';
catalog['Consistent and Inconsistent Systems'] = 'Konsistente und inkonsistente Systeme';
catalog['Consistent and inconsistent systems'] = 'Konsistente und inkonsistente Systeme';
catalog['Consistent, but dependent systems of equations'] = 'Konsistente, aber abh\u00e4ngige Gleichungssysteme';
catalog['Constable, The Hay Wain'] = 'Constable, The Hay Wain';
catalog['Constant unit elasticity'] = 'Constant unit elasticity';
catalog['Constantin Brancusi, "Mlle Pogany"'] = 'Constantin Brancusi, "Mlle Pogany"';
catalog['Constantin Brancusi, Bird in Space, bronze, limestone, wood, 1928 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris'] = 'Constantin Brancusi, Bird in Space, bronze, limestone, wood, 1928 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris';
catalog['Construct the parallel circuit, put it all together'] = 'Construct the parallel circuit, put it all together';
catalog['Constructing a box and whisker plot to analyze data.'] = 'Konstruieren eines Box-und-Whisker-Plots um Daten zu analysieren.';
catalog['Constructing a box-and-whisker plot'] = 'Konstruktion eines Box-Whisker-Plots';
catalog['Constructing a demand curve for an individual firm by thinking about how much increment benefit they get from an incremental employee (marginal product of labor (MPL) and marginal product revenue (MPR).  We later think about how we can add these "demand" curves to construct a "demand" curve for the market for labor in this industry.'] = 'Die Erstellung einer Nachfragekurve f\u00fcr ein individuelles Unternehmen, indem der Grenzertrag eines zus\u00e4tzlichen Mitarbeiters (Grenzprodukt der Arbeit (MLP) und Grenzprodukt des Umsatzes (MPR)) berechnet wird. Sp\u00e4ter \u00fcberlegen wir uns, wie wir diese Nachfragekurven aufaddieren k\u00f6nnen, um eine Nachfragekurve f\u00fcr den Arbeitsmarkt f\u00fcr diese Industrie zu konstruieren.';
catalog['Constructing a geometric series for new users'] = 'Konstruktion einer geometrischen Reihe f\u00fcr neue Anwender';
catalog['Constructing a linear function word problem'] = 'Erstellen einer linearen Funktion - Textaufgabe';
catalog['Constructing a perpendicular bisector using a compass and straightedge'] = 'Eine Mittelsenkrechte mit einem Zirkel und Lineal konstruieren';
catalog['Constructing a perpendicular line using a compass and straightedge'] = 'Eine Mittelsenkrechte mit einem Zirkel und Lineal konstruieren';
catalog['Constructing a probability distribution for random variable'] = 'Constructing a probability distribution for random variable';
catalog['Constructing a right isosceles triangle'] = 'ein rechtwinklig-gleichschenkliges Dreieck konstruieren';
catalog['Constructing a scatter plot'] = 'Ein Streudiagramm erstellen';
catalog['Constructing a shape by reflecting over 2 lines'] = 'Constructing a shape by reflecting over 2 lines';
catalog['Constructing a unit normal vector to a curve'] = 'Constructing a unit normal vector to a curve';
catalog['Constructing a unit normal vector to a surface'] = 'Constructing a unit normal vector to a surface';
catalog['Constructing an angle bisector using a compass and straightedge'] = 'Eine Winkelhalbierende mit einem Zirkel und Lineal konstruieren';
catalog['Constructing an equation for a proportional relationship'] = 'Konstruieren einer Gleichung f\u00fcr eine proportionale Beziehung';
catalog['Constructing an exponential equation example'] = 'Konstruieren einer exponentielle Gleichung - Beispiel';
catalog['Constructing an investment where an investor gets the same upside while the program limits the downside.'] = 'Constructing an investment where an investor gets the same upside while the program limits the downside.';
catalog['Constructing and comparing proportional relationships'] = 'Erstellen und Vergleichen von proportionalen Zusammenh\u00e4ngen';
catalog['Constructing and interpreting a linear function'] = 'Erstellen und interpretieren einer linearen Funktion';
catalog['Constructing and interpreting absolute value'] = 'Erstellen und Interpretieren von Absolutbetr\u00e4gen';
catalog['Constructing and interpreting linear functions'] = 'Lineare Funktionen konstruieren und Interpretieren';
catalog['Constructing and slicing geometric shapes'] = 'Konstruktion und Schnitt von geometrischen Formen';
catalog['Constructing and solving a basic equation based on a word problem.'] = 'Erfassen und L\u00f6sen linearer Gleichungen aus Textaufgaben.';
catalog['Constructing and solving equations in the real world 1 exercise'] = 'Erstellen und l\u00f6sen von Gleichungen in der realen Welt 1 - \u00dcbung';
catalog['Constructing and solving equations in the real world 1'] = 'Die wirkliche Welt in Gleichungen darstellen und berechnen 1';
catalog['Constructing and solving one-step inequality'] = 'Aufstellen und L\u00f6sung einer einstufigen Ungleichung';
catalog['Constructing angles'] = 'Winkel konstruieren';
catalog['Constructing bisectors of lines and angles'] = 'Konstruktion von Mittelsenkrechte und Winkelhalbierende';
catalog['Constructing circle inscribing triangle'] = 'Constructing circle inscribing triangle';
catalog['Constructing circumcircles and incircles'] = 'Konstruktion von Umkreisen und Inkreisen';
catalog['Constructing circumscribing circle'] = 'Constructing circumscribing circle';
catalog['Constructing consistent and inconsistent systems'] = 'Konsistente und inkonsistente Systeme konstruieren';
catalog['Constructing equations in slope-intercept form from graphs'] = 'Konstruktion von Gleichungen in Steigung-Schnittpunktform aus Graphen';
catalog['Constructing equations in slope-intercept form'] = 'Gleichungen in Geradengleichung erstellen';
catalog['Constructing equilateral triangle inscribed in circle'] = 'Constructing equilateral triangle inscribed in circle';
catalog['Constructing linear and exponential functions from data'] = 'Lineare und exponentielle Funktionen aus Daten erstellen';
catalog['Constructing linear and exponential functions from graph'] = 'Lineare und exponentielle Funktionen aus Daten erstellen';
catalog['Constructing linear and exponential functions'] = 'Constructing linear and exponential functions';
catalog['Constructing linear equations to solve word problems'] = 'Konstruktion von linearen Gleichungen um Textaufgaben zu l\u00f6sen';
catalog['Constructing linear graphs'] = 'Lineare Graphen erstellen';
catalog['Constructing numeric expressions'] = 'Numerische Ausdr\u00fccke aufstellen';
catalog['Constructing numerical expressions example'] = 'Numerische Ausdr\u00fccke bilden - Beispiel';
catalog['Constructing polygon on the coordinate plane example'] = 'Konstruktion von Polygonen im Koordinatensystem - Beispiel';
catalog['Constructing probability distributions'] = 'Constructing probability distributions';
catalog['Constructing proportions to solve application problems'] = 'Verh\u00e4ltnisse aufstellen um Anwendungsaufgaben zu l\u00f6sen';
catalog['Constructing proportions'] = 'Verh\u00e4ltnisse aufstellen';
catalog['Constructing quadrilateral based on symmetry'] = 'Constructing quadrilateral based on symmetry';
catalog['Constructing regular hexagon inscribed in circle'] = 'Constructing regular hexagon inscribed in circle';
catalog['Constructing regular polygons inscribed in circles'] = 'Konstruieren von regelm\u00e4\u00dfigen Vielecke, die in einem Kreis eingeschrieben sind';
catalog['Constructing regular polygons'] = 'Regelm\u00e4\u00dfige Vielecke konstruieren';
catalog['Constructing scale drawings'] = 'Constructing scale drawings';
catalog['Constructing scatter plot exercise example'] = 'Erstellen eines Streudiagramms - \u00dcbungsbeispiel';
catalog['Constructing scatter plots'] = 'Konstruktion von Streuungsdiagrammen';
catalog['Constructing small sample size confidence intervals using t-distributions'] = 'Konfidenzintervalle f\u00fcr kleine Stichprobengr\u00f6\u00dfen mit Hilfe der T-Verteilung';
catalog['Constructing solutions to systems of equations'] = 'Erstellen von L\u00f6sungen f\u00fcr Gleichungssysteme';
catalog['Constructing square inscribed in circle'] = 'Constructing square inscribed in circle';
catalog['Constructing the equation of a line given two points'] = 'Wir konstruieren die Gleichung einer Geraden bei zwei gegebenen Punkten';
catalog['Constructing triangles with constraints'] = 'Dreiecke konstruieren mit Einschr\u00e4nkungen';
catalog['Constructing triangles'] = 'Dreiecke konstruieren';
catalog['Constructing, interpreting, and solving linear equations based on context.'] = 'Konstruieren, Interpretieren und L\u00f6sen von linearen Gleichungen basierend auf Kontext.';
catalog['Construction a rotation transformation in R3'] = 'Construction a rotation transformation in R3';
catalog['Construction of an 18th-c French mechanical table'] = 'Construction of an 18th-c French mechanical table';
catalog['Construction'] = 'Bau';
catalog['Consumer and producer surplus'] = 'Konsumenten- und Produzentenrente';
catalog['Consumer price index'] = 'Verbraucherpreisindex';
catalog['Consumer surplus as difference between marginal benefit and price paid'] = 'Die Konsumentenrente als Differenz zwischen dem Grenznutzen und dem gezahlten Preis';
catalog['Consumer surplus introduction'] = 'Consumer surplus introduction';
catalog['Consumption function basics'] = 'Consumption function basics';
catalog['Consumption function with income dependent taxes'] = 'Consumption function with income dependent taxes';
catalog['Consumption function'] = 'Konsumfunktion';
catalog['Consumption function.  Marginal propensity to consume and multiplier.  Keynesian Cross and IS-LM model.'] = 'Konsumfunktion.  Marginale Konsumneigung und Multiplikator.  Keynesianische Kreuz und IS-LM-Modell.';
catalog['Contact Email'] = 'Kontakt E-Mail Adresse';
catalog['Contact Name'] = 'Kontakt Name';
catalog['Contact Phone'] = 'Kontaktelefonnummer';
catalog['Contact Us!'] = 'Contact Us!';
catalog['Contact'] = 'Contact';
catalog['Contains the latest FAQ for troubleshooting.'] = 'Contains the latest FAQ for troubleshooting.';
catalog['Contains the latest information about setting up and using KA Lite.'] = 'Contains the latest information about setting up and using KA Lite.';
catalog['Contango and backwardation review'] = 'Contango and backwardation review';
catalog['Contango from trader perspective'] = 'Contango from trader perspective';
catalog['Contango'] = 'Contango';
catalog['Contemporary artist Dorothea Rockburne talks about mathematics, magic, and materials. To learn about how art changes over time, enroll in one of <a data-cke-saved-href="http://www.moma.org/learn/courses/online#none" href="http://www.moma.org/learn/courses/online#none">MoMA\'s courses online</a>.'] = 'Contemporary artist Dorothea Rockburne talks about mathematics, magic, and materials. To learn about how art changes over time, enroll in one of <a data-cke-saved-href="http://www.moma.org/learn/courses/online#none" href="http://www.moma.org/learn/courses/online#none">MoMA\'s courses online</a>.';
catalog['Content demo'] = 'Content demo';
catalog['Content improvement'] = 'Content improvement';
catalog['Content provided by The NROC Project - \u00a9Monterey Institute for Technology and Education'] = 'Inhalt zur Verf\u00fcgung gestellt durch The NROC Project - \u00a9Monterey Institute for Technology and Education';
catalog['Contingency Table Chi-Square Test'] = 'H\u00e4ufigkeitstabelle Chi-Quadrat-Test';
catalog['Contingency table chi-square test'] = 'H\u00e4ufigkeitstabelle Chi-Quadrat-Test';
catalog['Continuation of the intro to hyperbolas'] = 'Fortsetzung der Einf\u00fchrung in Hyperbeln';
catalog['Continuation of the playing around with trig identities'] = 'Continuation of the playing around with trig identities';
catalog['Continuing our Yoga plan debate by determining where the lines representing the two plans intersect'] = 'Fortsetzung unserer Yoga-Plan-Diskussion indem wir bestimmen, wo die Geraden, die die beiden Pl\u00e4ne darstellen, sich schneiden';
catalog['Continuity of piecewise-defined functions'] = 'Continuity of piecewise-defined functions';
catalog['Continuity using limits'] = 'Kontinuit\u00e4t mit Grenzwerten';
catalog['Continuity'] = 'Stetigkeit';
catalog['Continuous compound interest and e'] = 'Kontinuierliche Zinsen und Zinseszinsen und e';
catalog['Continuous compounding and e'] = 'Zinseszins und e';
catalog['Continuously compounding $P in principal at an annual interest rate of r for a year ends up with a final payment of $Pe^r'] = 'Continuously compounding $P in principal at an annual interest rate of r for a year ends up with a final payment of $Pe^r';
catalog['Continuously compounding for multiple years.'] = 'Continuously compounding for multiple years.';
catalog['Contractility tells us how many myosin heads are working at the end of systole; a number that goes up or down with the level of sympathetic nerve stimulation.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Contractility tells us how many myosin heads are working at the end of systole; a number that goes up or down with the level of sympathetic nerve stimulation.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Contractility, Ea, and preload effects on PV boxes'] = 'Contractility, Ea, and preload effects on PV boxes';
catalog['Contrary to what some history books and movies would have you believe, World War I was not just fought on the Western and/or Eastern fronts.  Because of the empires involved, it was a truly global conflict.  This tutorial will cover some of the campaigns that your history book might not (but are important to understanding the War).'] = 'Contrary to what some history books and movies would have you believe, World War I was not just fought on the Western and/or Eastern fronts.  Because of the empires involved, it was a truly global conflict.  This tutorial will cover some of the campaigns that your history book might not (but are important to understanding the War).';
catalog['Contrasting Keynesian and Classical Thinking'] = 'Contrasting Keynesian and Classical Thinking';
catalog['Control robot behavior based on some condition'] = 'Control robot behavior based on some condition';
catalog['Control switch statments using logic'] = 'Control switch statments using logic';
catalog['Convergence and divergence of sequences'] = 'Convergence and divergence of sequences';
catalog['Convergent and divergent sequences'] = 'Konvergente und divergente Folgen';
catalog['Conversation about drug pricing'] = 'Conversation about drug pricing';
catalog['Conversion between metric units'] = 'Umwandlung zwischen metrischen Einheiten';
catalog['Conversion from Cartesian to Polar Coordinates'] = 'Kartesische Koordinaten in Porlakoordinaten umrechnen';
catalog['Convert 1-digit repeating decimals to fractions'] = 'Wandle einstellige periodische Dezimalzahlen in Br\u00fcche um';
catalog['Convert a decimal to an equivalent fraction. Convert a decimal to an equivalent mixed number.&nbsp;'] = 'Wandle eine Dezimalzahl in einen gleichwertigen Bruch um. Wandle eine Dezimalzahl in einen gleichwertigen gemischten Bruch um.&nbsp;';
catalog['Convert a fraction to decimal rounded to the nearest thousandth.'] = 'Umrechnen eines Bruchs in eine Dezimalzahl, die auf die n\u00e4hste Tausenderstelle gerundet ist.';
catalog['Convert linear equations between point-slop and slope-intercept forms.'] = 'Umwandeln linearer Gleichungen in die Punkt-Steigungs-Form und Steigung-Achsenabschnitts-Form.';
catalog['Convert linear equations between slope-intercept and standard forms.'] = 'Konvertiere lineare Gleichungen zwischen Steigung-Achsenabschnitt Form und allgemeiner Form.';
catalog['Convert multi-digit repeating decimals to fractions'] = 'Mehrstellige periodische Dezimalzahlen in Br\u00fcche umwandeln';
catalog['Converting 1-digit repeating decimals to fractions'] = 'Umwandeln von einstelligen periodischen Dezimalzahlen in Br\u00fcche';
catalog['Converting Fahrenheit to Celsius'] = 'Fahrenheit in Celsius umrechnen';
catalog['Converting Fractions to Decimals'] = 'Br\u00fcche in Dezimalzahlen umwandeln';
catalog['Converting Gallons to quarts pints and cups'] = 'Die Umrechnung von Hohlma\u00dfen (Gallone -> Quart ->Pint -> Cup)';
catalog['Converting Mixed Numbers to Improper Fractions'] = 'Gemischte Br\u00fcche in unechte Br\u00fcche umwandeln';
catalog['Converting a fraction to a repeating decimal'] = 'Umwandlung eines Bruchs in eine periodische Dezimalzahl';
catalog['Converting an explicit function to a recursive function'] = 'Umwandlung einer expliziten Funktion in eine rekursive Funktion';
catalog['Converting between Cartesian and Polar functions'] = 'Konvertieren zwischen kartesische und polare Funktionen';
catalog['Converting between fractions and decimals'] = 'Konvertieren zwischen Br\u00fcchen und Dezimalzahlen';
catalog['Converting between point-slope and slope-intercept form'] = 'Konvertieren zwischen Punkt-Steigung-Form und Steigung-Achsenabschnitt-Form';
catalog['Converting between slope-intercept and standard form'] = 'Konvertieren zwischen Steigung--Achsenabschnitt Form und allgemeiner Form';
catalog['Converting between units of time'] = 'Umrechnen zwischen Einheiten der Zeit';
catalog['Converting centimeters to meters'] = 'Zentimeter in Meter umrechnen';
catalog['Converting decimals to fractions 1 (ex 1)'] = 'Umwandlung von Dezimalzahlen in Br\u00fcche 1 (ex 1)';
catalog['Converting decimals to fractions 1 (ex 2)'] = 'Umwandlung von Dezimalzahlen in Br\u00fcche 1 (ex 2)';
catalog['Converting decimals to fractions 1 (ex 3)'] = 'Umwandlung von Dezimalzahlen in Br\u00fcche 1 (ex 3)';
catalog['Converting decimals to fractions 1'] = 'Umwandlung von Dezimalzahlen in Br\u00fcche 1';
catalog['Converting decimals to fractions 2 (ex 1)'] = 'Umwandlung von Dezimalzahlen in Br\u00fcche 2 (ex 1)';
catalog['Converting decimals to fractions 2 (ex 2)'] = 'Umwandlung von Dezimalzahlen in Br\u00fcche 2 (ex 2)';
catalog['Converting decimals to fractions 2'] = 'Umwandlung von Dezimalzahlen in Br\u00fcche 2';
catalog['Converting decimals to percents (ex 1)'] = 'Dezimalzahl in Prozent umwandeln (Bsp. 1)';
catalog['Converting decimals to percents (ex 2)'] = 'Dezimalzahlen in Prozent umwandeln (Bsp. 1)';
catalog['Converting decimals to percents'] = 'Dezimalzahlen in Prozent umwandeln';
catalog['Converting distances in the metric system'] = 'Umrechnen von Entfernungen im metrischen System';
catalog['Converting feet to inches'] = 'Umwandlung von Fu\u00df zu Zoll';
catalog['Converting fluid volume in US customary units'] = 'Umrechnen von Fluid Volumen in US \u00fcbliche Ma\u00dfeinheiten';
catalog['Converting fractions to decimals (ex1)'] = 'Br\u00fcche in Dezimalzahlen umwandeln (Bsp1)';
catalog['Converting fractions to decimals (ex2)'] = 'Bruchzahlen in Dezimalzahlen umwandeln (Beisp. 2)';
catalog['Converting fractions to decimals example'] = 'Br\u00fcche in Dezimalzahlen umwandeln Beispiele';
catalog['Converting fractions to decimals'] = 'Br\u00fcche in Dezimalzahlen umwandeln';
catalog['Converting from point slope to slope intercept form'] = 'Umwandlung von der Punkt-Steigungsform in die Steigungs-Achsenabschnittform';
catalog['Converting gallons to quarts, pints, and cups'] = 'Die Umrechnung von Hohlma\u00dfen (Gallone -> Quart ->Pint -> Cup)';
catalog['Converting measurements word problems'] = 'Umwandeln von Ma\u00dfeinheiten - Textaufgaben';
catalog['Converting minutes to  hours'] = 'Minuten in Stunden umrechnen';
catalog['Converting mixed numbers and improper fractions'] = 'Gemischte Zahlen und unechte Br\u00fcche umwandeln';
catalog['Converting mixed numbers to improper fractions and improper fractions to mixed numbers'] = 'Umwandeln von gemischten Zahlen in unechte Br\u00fcche und unechte Br\u00fcche in gemischte Zahlen';
catalog['Converting mixed numbers to improper fractions'] = 'Gemischte Br\u00fcche in unechte Br\u00fcche umwandeln';
catalog['Converting more interesting repeating decimals to fractions'] = 'Umwandlung von interessanteren Dezimalzahlen in Br\u00fcche';
catalog['Converting multi-digit repeating decimals to fractions'] = 'Umformen von periodische Dezimalzahlen mit Periodenl\u00e4nge > 1 in Br\u00fcche';
catalog['Converting percents to decimals (ex 1)'] = 'Umwandeln von Prozenten in Dezimalzahlen (Bsp. 1)';
catalog['Converting percents to decimals (ex 2)'] = 'Dezimalzahlen in Prozent umwandeln (Bsp. 2)';
catalog['Converting percents to decimals'] = 'Prozentzahlen in Dezimalzahlen umwandeln';
catalog['Converting pounds to ounces'] = 'Pfund in Unzen umrechnen';
catalog['Converting repeating decimals to fractions 1'] = 'Periodische Dezimalzahlen als Bruch ausdr\u00fccken 1';
catalog['Converting repeating decimals to fractions 2'] = 'Umrechnen periodischer Dezimalzahlen in Br\u00fcche 2';
catalog['Converting repeating decimals to fractions'] = 'Umwandlung von periodische Dezimalzahlen in Br\u00fcche';
catalog['Converting the surface integral to a double integral'] = 'Converting the surface integral to a double integral';
catalog['Converting to slope-intercept form'] = 'Umformung in die Punkt-Steigungsform';
catalog['Converting units of length'] = 'Die Umrechnung von L\u00e4ngenma\u00dfen';
catalog['Converting units'] = 'Umwandeln von Einheiten';
catalog['Converting weight in metric and US customary systems'] = 'Umrechnen von Gewicht in metrische und US \u00fcbliche Systeme';
catalog['Converting within the metric system'] = 'Umrechnen innerhalb des metrischen Systems';
catalog['Converting yards into inches'] = 'Yards in Inch umrechnen';
catalog['Convex Lens Examples'] = 'Beispiel einer konvexen Linse';
catalog['Convex Lenses'] = 'Konvexe Linsen';
catalog['Convex Parabolic Mirrors'] = 'Konvexe Parabolspiegel';
catalog['Convex lens examples'] = 'Convex lens examples';
catalog['Convex lenses'] = 'Convex lenses';
catalog['Convex parabolic mirrors'] = 'Convex parabolic mirrors';
catalog['Cooperativity'] = 'Cooperativity';
catalog['Coordinate plane word problems exercise'] = 'Koordinatensystem Textaufgaben \u00dcbung';
catalog['Coordinate plane word problems in all four quadrants'] = 'Textaufgaben zur Koordinatenebene in allen vier Quadranten';
catalog['Coordinate plane word problems in the first quadrant'] = 'Textaufgaben mit Koordinatenebenen im ersten Quadranten';
catalog['Coordinate plane word problems with polygons'] = 'Textaufgaben zur Koordinatenebene mit Polygonen';
catalog['Coordinate plane'] = 'Koordinatensystem';
catalog['Coordinate planes'] = 'Coordinate planes';
catalog['Coordinates with respect to a basis'] = 'Coordinates with respect to a basis';
catalog['Coordinates with respect to orthonormal bases'] = 'Coordinates with respect to orthonormal bases';
catalog['Copley, Boy with a Squirrel'] = 'Copley, Boy with a Squirrel';
catalog['Core-formed glass is one of the earliest glassmaking techniques. Watch a glassmaker shape a vessel, add colored trails, handles, and a rim (footage from the Corning Museum of Glass). Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Core-formed glass is one of the earliest glassmaking techniques. Watch a glassmaker shape a vessel, add colored trails, handles, and a rim (footage from the Corning Museum of Glass). Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Coronation Mantle, 1133/34, fabric from Byzantium or Thebes, samite, silk, gold, pearls, filigree, sapphires, garnets, glass, and cloisonn&eacute; enamel, 146 x 345 cm (Neue Hofburg, Vienna).&nbsp;Likely made for the Norman ruler Roger II in 1133/34 in the royal workshop in Palermo of fabric from Byzantium or Thebes, Samite, silk, gold, pearls, filigree, sapphires, garnets, glass, and cloisonn&eacute; enamel. The Kufic script reads: &quot;This mantle was worked in the most magnificent clothing workshop and is connected with the desire and hopes, felicitous days and nights without cease or change, with authority, with honor and felicity, assurances of trust, reverent care, protection, good destiny, freedom from harm, triumph and livelihood in the capital city of Sicily in the year 528&quot; (or 1133/34 in the Gregorian calendar). Neue Hofburg, Vienna. &nbsp;Speakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Coronation Mantle, 1133/34, fabric from Byzantium or Thebes, samite, silk, gold, pearls, filigree, sapphires, garnets, glass, and cloisonn&eacute; enamel, 146 x 345 cm (Neue Hofburg, Vienna).&nbsp;Likely made for the Norman ruler Roger II in 1133/34 in the royal workshop in Palermo of fabric from Byzantium or Thebes, Samite, silk, gold, pearls, filigree, sapphires, garnets, glass, and cloisonn&eacute; enamel. The Kufic script reads: &quot;This mantle was worked in the most magnificent clothing workshop and is connected with the desire and hopes, felicitous days and nights without cease or change, with authority, with honor and felicity, assurances of trust, reverent care, protection, good destiny, freedom from harm, triumph and livelihood in the capital city of Sicily in the year 528&quot; (or 1133/34 in the Gregorian calendar). Neue Hofburg, Vienna. &nbsp;Speakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Corporate bankruptcy'] = 'Konkurs eines Unternehmens';
catalog['Corporate debt versus traditional mortgages'] = 'Corporate debt versus traditional mortgages';
catalog['Corporate metrics and valuation'] = 'Kennzahlen und Bewertung';
catalog['Corporate structure and taxation'] = 'Unternehmensstruktur und Besteuerung';
catalog['Corporate taxation'] = 'Unternehmensbesteuerung';
catalog['Corporations and limited liability'] = 'Corporations and limited liability';
catalog['Corporations use three financial statements to report what\'s going on: balance sheets, cash flow statements and income statements.  They can be derived from each other and each give a valuable lens on the operations and condition of a business.  \n\nAfter you know the basics of accrual accounting (available in another tutorial), this tutorial will give you tools you need to responsibly understand any business.'] = 'Unternehmen benutzen drei Finanzberichte um zu zeigen wie es ihnen geht: die Bilanz, die Kapitalflussrechnung und die Gewinn- und Verlustrechnung. Man kann von einem Finanzbericht auf den anderen ableiten und zusammen geben sie dir eine gute \u00dcbersicht dar\u00fcber, wie das operative Gesch\u00e4ft l\u00e4uft und in was f\u00fcr einer Verfassung sich das Unternehmen befindet. \n\nWenn du die Grundlagen der periodengerechten Buchf\u00fchrung kennst (in einem anderen Tutorial aufrufbar), wird dir dieses Tutorial die Werkzeuge geben, die du brauchst um ein Unternehmen gut verstehen zu k\u00f6nnen.';
catalog['Correct! Next Question...'] = 'Richtig! N\u00e4chste Aufgabe...';
catalog['Correcting a mistake and learning a bit about ion size'] = 'Korrigiert einen Fehler und lehrt etwas \u00fcber Ionengr\u00f6\u00dfe';
catalog['Correcting the time difference calculation by taking into account that there is no year 0'] = 'Korrektur der Zeit-Differenz-Berechnung unter Ber\u00fccksichtigung, dass es kein Jahr 0 gibt';
catalog['Correction - 2-Propylheptane should never be the name!'] = 'Correction - 2-Propylheptane should never be the name!';
catalog['Correction - 2-propylheptane should never be the name!'] = 'Correction - 2-propylheptane should never be the name!';
catalog['Correction calendar notation'] = 'Correction calendar notation';
catalog['Correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant'] = 'Correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant';
catalog['Correction to "Total Final Velocity for Projectile" Video'] = 'Correction to "Total Final Velocity for Projectile" Video';
catalog['Correction to Force of Friction Keeping the Block Stationary'] = 'Correction to Force of Friction Keeping the Block Stationary';
catalog['Correction to Sodium and Potassium Pump Video'] = 'Korrektur des Videos zur Natrium-Kalium-Pumpe';
catalog['Correction to force of friction keeping the block stationary'] = 'Correction to force of friction keeping the block stationary';
catalog['Correction to sodium and potassium pump video'] = 'Correction to sodium and potassium pump video';
catalog['Correction to total final velocity for projectile'] = 'Correction to total final velocity for projectile';
catalog['Correction: 2,2,6,6,7-pentamethyloctane is the correct name.  I put a dash instead of a comma between the 6 and the 7 on the video.'] = 'Correction: 2,2,6,6,7-pentamethyloctane is the correct name.  I put a dash instead of a comma between the 6 and the 7 on the video.';
catalog['Correction: I forgot to draw a negative charge next to the first iodide anion.'] = 'Correction: I forgot to draw a negative charge next to the first iodide anion.';
catalog['Correction: On the last example, I said double bond and then corrected myself by saying triple bond.'] = 'Berichtigung: Im letzten Beispiel sagte ich Doppelbindung und dann habe ich mich selbst berichtigt und Dreifachbindung gesagt.';
catalog['Correction: Specific rotation is usually given without units. Therefore, I should have left off the degrees sign on the carvone enantiomers.'] = 'Correction: Specific rotation is usually given without units. Therefore, I should have left off the degrees sign on the carvone enantiomers.';
catalog['Correction: when I mark where pi is on the graph, I meant pi/2!\nNote: If this video were supposed to be teaching you, I\'d probably have to make it boring and say that in one sense of limits, spoiler alert, you actually do approach a circle and a line, solving the apparent paradox by saying that the invariant of length does not hold over infinity. Luckily I am an artist, and this is a Rhapsody, and instead of "learning," you get to actually think, if you like.'] = 'Korrektur: Als ich Pi im Diagramm markiert habe,  meinte ich Pi/2! \n\nBemerkung: Wenn Du in dieses Video etwas lernen solltest , h\u00e4tte ich es wahrscheinlich langweilig machen m\u00fcssen und sagen, dass im Sinne von Grenzwerten, Du Dich tats\u00e4chlich einem Kreis und einer Linie ann\u00e4herst, und damit das scheinbare Paradox aufl\u00f6st, da\u00df die invariante der L\u00e4nge nicht \u00fcber unendlich h\u00e4lt. Zum Gl\u00fcck bin ich K\u00fcnstler, und dies ist eine Rhapsodie, und statt "lernen" kannst Du tats\u00e4chlich "denken", wenn Du m\u00f6chtest.';
catalog['Correggio, Jupiter and Io'] = 'Correggio, Jupiter and Io';
catalog['Correggio, Jupiter and Io, 1532-33, oil on canvas 163.5 x 70.5 cm (Kunsthistorisches Museum, Vienna)'] = 'Correggio, Jupiter and Io, 1532-33, oil on canvas 163.5 x 70.5 cm (Kunsthistorisches Museum, Vienna)';
catalog['Correlation and causality'] = 'Korrelation und Kausalit\u00e4t';
catalog['Correlation coefficients for linear fits'] = 'Correlation coefficients for linear fits';
catalog['Cosine Taylor series at 0 (Maclaurin)'] = 'Kosinus-Taylor-Reihe bei 0 (Maclaurin)';
catalog['Cosine addition identity example'] = 'Kosinus Additionstheorem Beispiel';
catalog['Cosmic Background Radiation 2 - Redshift of the Cosmic Background Radiation'] = 'Kosmische Hintergrundstrahlung 2 - Rotverschiebung der kosmischen Hintergrundstrahlung';
catalog['Cosmic Background Radiation'] = 'Kosmische Hintergrundstrahlung';
catalog['Cosmic background radiation 2'] = 'Cosmic background radiation 2';
catalog['Cosmic background radiation'] = 'Cosmic background radiation';
catalog['Cosmological Time Scale 1'] = 'Kosmologischer Zeitma\u00dfstab 1';
catalog['Cosmological Time Scale 2'] = 'Kosmologischer Zeitma\u00dfstab 2';
catalog['Cosmological time scale 1'] = 'Cosmological time scale 1';
catalog['Cosmological time scale 2'] = 'Cosmological time scale 2';
catalog['Cosmology and astronomy'] = 'Kosmologie und Astronomie';
catalog['Cost of filling tank'] = 'Kosten f\u00fcr eine Tankf\u00fcllung';
catalog['Cost-push inflation'] = 'Cost-push inflation';
catalog['Could not read date and time: Unrecognized input data format.'] = 'Could not read date and time: Unrecognized input data format.';
catalog['Could not save ExerciseLog'] = 'Could not save ExerciseLog';
catalog['Count from any number'] = 'Fange mit einer beliebigen Zahl an zu z\u00e4hlen';
catalog['Count to 100'] = 'Z\u00e4hle bis 100';
catalog['Counter'] = 'Counter';
catalog['Counting 1 exercise'] = 'Z\u00e4hlen 1 \u00dcbung';
catalog['Counting 1'] = 'Z\u00e4hlen 1';
catalog['Counting 2'] = 'Z\u00e4hlen 2';
catalog['Counting in scenes'] = 'Z\u00e4hlen in Szenen';
catalog['Counting money (U.S.)'] = 'Geldz\u00e4hlen (U.S.)';
catalog['Counting objects'] = 'Z\u00e4hlen von Objekten';
catalog['Counting out 1-20 objects'] = '1-20 Objekte z\u00e4hlen';
catalog['Counting paths in a square'] = 'Pfade in einem Quadrat z\u00e4hlen';
catalog['Counting'] = 'Das Z\u00e4hlen';
catalog['Courbet, Burial at Ornans'] = 'Courbet, Burial at Ornans';
catalog['Courbet, The Artist\'s Studio, a real allegory summing up seven years of my artistic and moral life'] = 'Courbet, The Artist\'s Studio, a real allegory summing up seven years of my artistic and moral life';
catalog['Cousin Fal\'s shape collection'] = 'Cousin Fal\'s shape collection';
catalog['Couture, Romans of the Decadence'] = 'Couture, Romans of the Decadence';
catalog['Covalent Networks, Metallic, and Ionic Crystals:  Some of the strongest molecular structures.'] = 'Kovalente Netzwerke, Metallische- und Ionenkristalle: Einige der st\u00e4rksten molekularen Strukturen.';
catalog['Covalent bonds'] = 'Kovalente Bindungen';
catalog['Covalent networks, metallic, and ionic crystals'] = 'Covalent networks, metallic, and ionic crystals';
catalog['Covariance and the regression line'] = 'Kovarianz und lineare Regression';
catalog['Covariance, Variance and the Slope of the Regression Line'] = 'Kovarianz, Varianz und die Steigung der Regressionsgeraden';
catalog['Covers topics seen in a first year college or high school biology course.'] = 'Themen aus dem ersten Jahr des Biologieunterrichts.';
catalog['Craig Benjamin explains how agriculture drove change and why humans took the risk of abandoning foraging.<br>'] = 'Craig Benjamin explains how agriculture drove change and why humans took the risk of abandoning foraging.<br>';
catalog['Cranach the Elder, Cupid complaining to Venus'] = 'Cranach the Elder, Cupid complaining to Venus';
catalog['Cranach the Elder, Judith with the Head of Holofernes'] = 'Cranach the Elder, Judith with the Head of Holofernes';
catalog['Cranach, Adam and Eve'] = 'Cranach, Adam und Eva';
catalog['Crash Course Biology'] = 'Crash Course Biologie';
catalog['Crash Course Ecology'] = 'Crash Course \u00d6kologie';
catalog['Crash Course World History'] = 'Crashkurs Weltgeschichte';
catalog['Crash Course'] = 'Crash-Kurs';
catalog['Crash Course: Biology'] = 'Crash Course: Biology';
catalog['Crash Course: Ecology'] = 'Crash Course: Ecology';
catalog['Crash Course: World History'] = 'Crash Course: World History';
catalog['Create A Sharing Network'] = 'Create A Sharing Network';
catalog['Create An Organization'] = 'Create An Organization';
catalog['Create Organization'] = 'Create Organization';
catalog['Create Sharing Network'] = 'Create Sharing Network';
catalog['Create group'] = 'Gruppe hinzuf\u00fcgen';
catalog['Create the motor mounts'] = 'Create the motor mounts';
catalog['Create user'] = 'Benutzer hinzuf\u00fcgen';
catalog['Created by Ben 5 as a home for his metacognition tutorial (all hidden).\nMaybe one day we will have real psychology content?'] = 'Erstellt von Ben 5 als Unterbringung f\u00fcr sein Metakognition Tutorial (alles versteckt). \nVielleicht werden wir eines Tages echte Psychologieinhalte haben?';
catalog['Creating a Poof and Not a Giant Kaboom'] = 'Creating a Poof and Not a Giant Kaboom';
catalog['Creating a fraction through division of whole numbers'] = 'Wie Br\u00fcche durch beim Teilen ganzer Zahlen entstehen';
catalog['Creating a number grid'] = 'Erstellen eines Zahlenfeldes';
catalog['Creating bar charts'] = 'Balkendiagramme erzeugen';
catalog['Creating box and whisker plots'] = 'Kastengrafik erstellen';
catalog['Creating line plots 2'] = 'Erstellen von Liniendiagrammen 2';
catalog['Creating line plots, bar graphs, and picture graphs 1'] = 'Liniendiagramme, Balkendiagramme und Schaubilder erstellen 1';
catalog['Creating new function from composition'] = 'Erstellen einer neuen Funktionszusammensetzung';
catalog['Creating picture and bar graphs 2'] = 'Erstellen von Bilder- und Balkendiagrammen 2';
catalog['Creating power series from geometric series using algebra'] = 'Creating power series from geometric series using algebra';
catalog['Creating power series from geometric series using differentiation and integration'] = 'Creating power series from geometric series using differentiation and integration';
catalog['Creating scaling and reflection transformation matrices (which are diagonal)'] = 'Creating scaling and reflection transformation matrices (which are diagonal)';
catalog['Creating the ideal student experience in a blended learning classroom'] = 'Creating the ideal student experience in a blended learning classroom';
catalog['Credit Crisis'] = 'Finanzkrise';
catalog['Credit cards and loans'] = 'Kreditkarten und Darlehen';
catalog['Credit crisis'] = 'Credit crisis';
catalog['Credit default swaps (CDS) intro'] = 'Credit default swaps (CDS) intro';
catalog['Credit default swaps 2'] = 'Credit default swaps 2';
catalog['Credit default swaps'] = 'Credit Default Swaps';
catalog['Criteria to pick software'] = 'Criteria to pick software';
catalog['Critical incident angle and total internal reflection'] = 'Critical incident angle and total internal reflection';
catalog['Critical numbers'] = 'Critical numbers';
catalog['Critical points and graphing with calculus'] = 'Kritische Punkte und grafische Darstellung mittels Differentialrechnung';
catalog['Cross elasticity of demand'] = 'Cross elasticity of demand';
catalog['Cross product 1'] = 'Kreuzprodukt 1';
catalog['Cross product 2'] = 'Cross product 2';
catalog['Cross product and torque'] = 'Cross product and torque';
catalog['Cross product introduction'] = 'Einf\u00fchrung Kreuzprodukt';
catalog['Cross sections of 3D shapes'] = 'Cross sections of 3D shapes';
catalog['Cross topic arithmetic'] = 'Themen\u00fcbergreifende Arithmetik';
catalog['Crossing dangerous deserts and deep ocean waters to connect the four world zones wasn\'t easy. After 1400, innovation and collective learning took a giant leap forward.'] = 'Crossing dangerous deserts and deep ocean waters to connect the four world zones wasn\'t easy. After 1400, innovation and collective learning took a giant leap forward.';
catalog['Crusading took many different forms, and attempting to precisely define crusading has engaged historians in intense debates for more than 150 years. \n'] = 'Crusading took many different forms, and attempting to precisely define crusading has engaged historians in intense debates for more than 150 years. \n';
catalog['Crust, mantle, core, lithosphere, asthenosphere, mesosphere, outer core, inner core'] = 'Kruste, Mantel, Kern, Lithosph\u00e4re, Asthenosph\u00e4re, Mesosph\u00e4re, \u00e4u\u00dferer Kern, innerer Kern';
catalog['Crypto checkpoint 1'] = 'Krypto Checkpoint 1';
catalog['Crypto checkpoint 2'] = 'Crypto checkpoint 2';
catalog['Crypto checkpoint 3'] = 'Crypto checkpoint 3';
catalog['Cryptography challenge 101'] = 'Herausforderung der Kryptographie 101';
catalog['Cuban Missile Crisis'] = 'Kuba-Krise';
catalog['Cube root of a non-perfect cube'] = 'Kubikwurzel aus einem nicht-perfekten W\u00fcrfel';
catalog['Cube roots 2'] = 'Kubik-Wurzeln 2';
catalog['Cube roots'] = 'Kubikwurzeln';
catalog['Cubism and its impact'] = 'Cubism and its impact';
catalog['Cup, Pre-Columbian, South America, Sic\u00e1n, Lambayeque: Bat\u00e1n Grande tombs, c. 850/1250 (Portland Art Museum)'] = 'Cup, Pre-Columbian, South America, Sic\u00e1n, Lambayeque: Bat\u00e1n Grande tombs, c. 850/1250 (Portland Art Museum)';
catalog['Cupcake economics 2'] = 'Cupcake economics 2';
catalog['Cupcake economics 3'] = 'Cupcake economics 3';
catalog['Curator Alison Smith explores the period 1840-1890.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Alison Smith explores the period 1840-1890.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Carol Jacobi explores the period 1890-1910.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Carol Jacobi explores the period 1890-1910.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Chris Stephens explores the period 1910-1914.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Chris Stephens explores the period 1910-1914.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Chris Stephens explores the year 1930.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Chris Stephens explores the year 1930.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Chris Stephens explores the year 1940.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Chris Stephens explores the year 1940.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Chris Stephens explores the year 1950.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Chris Stephens explores the year 1950.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Chris Stephens explores the year 1960.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Chris Stephens explores the year 1960.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Chris Stephens explores the years 1914 &amp; 1915.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Chris Stephens explores the years 1914 &amp; 1915.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Chris Stephens introduces Tate Britain&#39;s new displays.&nbsp;This is part of the display: BP Walk through British Art.'] = 'Curator Chris Stephens introduces Tate Britain&#39;s new displays.&nbsp;This is part of the display: BP Walk through British Art.';
catalog['Curator David Brown explores the work of JMW Turner.&nbsp;This room is part of the display: Walk through British Art.'] = 'Curator David Brown explores the work of JMW Turner.&nbsp;This room is part of the display: Walk through British Art.';
catalog['Curator Greg Sullivan explores the period 1760-1780.&nbsp;BP Walk through British art.'] = 'Curator Greg Sullivan explores the period 1760-1780.&nbsp;BP Walk through British art.';
catalog['Curator Greg Sullivan explores the period 1780-1810.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Greg Sullivan explores the period 1780-1810.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Greg Sullivan explores the period 1810-1840.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Greg Sullivan explores the period 1810-1840.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Helen Little explores the 1990s.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Helen Little explores the 1990s.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Helen Little explores the year 2000.&nbsp;Part of the series: BP Walk through British Art.'] = 'Curator Helen Little explores the year 2000.&nbsp;Part of the series: BP Walk through British Art.';
catalog['Curator Helen Little explores the years 1970 &amp; 1980.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Helen Little explores the years 1970 &amp; 1980.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Martin Myrone explores the work of William Blake.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Martin Myrone explores the work of William Blake.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Tim Batchelor explores the period 1540 - 1650.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Tim Batchelor explores the period 1540 - 1650.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Tim Batchelor explores the period 1650-1730.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Tim Batchelor explores the period 1650-1730.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curator Tim Batchelor explores the period 1730-1765.&nbsp;This room is part of the display: BP Walk through British Art.'] = 'Curator Tim Batchelor explores the period 1730-1765.&nbsp;This room is part of the display: BP Walk through British Art.';
catalog['Curiosity Descent '] = 'Curiosity Descent ';
catalog['Curiosity Has Landed'] = 'Curiosity Ist Gelandet';
catalog['Curiosity rover: discoveries'] = 'Curiosity rover: discoveries';
catalog['Curiosity rover: mission briefing'] = 'Curiosity rover: mission briefing';
catalog['Curiosity\'s First Drive'] = 'Curiosity\'s Erste Fahrt';
catalog['Curiosity\'s arm'] = 'Curiosity\'s arm';
catalog['Curl 1'] = 'Curl 1';
catalog['Curl 2'] = 'Curl 2';
catalog['Curl 3'] = 'Curl 3';
catalog['Curl measures how much a vector field is "spinning".  A bit of a pain to calculate, but could come in handy when we work with Stokes\' and Greens\' theorems later on.'] = 'Curl measures how much a vector field is "spinning".  A bit of a pain to calculate, but could come in handy when we work with Stokes\' and Greens\' theorems later on.';
catalog['Curl'] = 'Rotation (rot-Operator)';
catalog['Currency Effect on Trade Review'] = 'Currency Effect on Trade Review';
catalog['Currency Effect on Trade'] = 'Currency Effect on Trade';
catalog['Currency conversion'] = 'Umrechnen von W\u00e4hrungen';
catalog['Currency effect on trade review'] = 'Currency effect on trade review';
catalog['Currency effect on trade'] = 'Currency effect on trade';
catalog['Currency exchange introduction'] = 'Currency exchange introduction';
catalog['Currency reserves'] = 'W\u00e4hrungsreserven';
catalog['Currency'] = 'W\u00e4hrung';
catalog['Current Installation'] = 'Current Installation';
catalog['Current Users'] = 'Current Users';
catalog['Current Version'] = 'Current Version';
catalog['Current and capital accounts'] = 'Leistungs- und Kapitalbilanz';
catalog['Current economics'] = 'Aktuelle Wirtschaftslage';
catalog['Currently this tutorial contains the work of only one artist, Michael Pacher. It would have been so much easier if we could have included him in Venice, since Pacher was influenced by the work of the great Venetian painter Mantegna. But Pacher spoke German, and the specific area he was from (today in the north-east of Italy), was known as Tyrol (though there is a state of Tyrol today in Austria). Confusing, we know. In this tutorial, we take a look at Pacher\u2019s amazing St. Wolfgang Altarpiece which is still in the church it was made for\u2014a church on a lake surrounded by mountains in Austria, still visited by religious pilgrims. Most altarpieces in the Renaissance were made of many interconnected panels that were later sold and ended up in different collections, and this means that to see one altarpiece you usually have to travel to many museums. But this is not true of the St. Wolfgang altarpiece. Seeing a Renaissance work of art in the space it was made for helps us to travel back in time to the late 15th Century.'] = 'Currently this tutorial contains the work of only one artist, Michael Pacher. It would have been so much easier if we could have included him in Venice, since Pacher was influenced by the work of the great Venetian painter Mantegna. But Pacher spoke German, and the specific area he was from (today in the north-east of Italy), was known as Tyrol (though there is a state of Tyrol today in Austria). Confusing, we know. In this tutorial, we take a look at Pacher\u2019s amazing St. Wolfgang Altarpiece which is still in the church it was made for\u2014a church on a lake surrounded by mountains in Austria, still visited by religious pilgrims. Most altarpieces in the Renaissance were made of many interconnected panels that were later sold and ended up in different collections, and this means that to see one altarpiece you usually have to travel to many museums. But this is not true of the St. Wolfgang altarpiece. Seeing a Renaissance work of art in the space it was made for helps us to travel back in time to the late 15th Century.';
catalog['Currently, only retrieving the flat topic tree in the user\'s currently selected language is supported (current=%(current_lang)s, requested=%(requested_lang)s).'] = 'Currently, only retrieving the flat topic tree in the user\'s currently selected language is supported (current=%(current_lang)s, requested=%(requested_lang)s).';
catalog['Cutting shapes into equal parts'] = 'Formen in gleich gro\u00dfe Teile zerteilen';
catalog['Cycle of Malnutrition'] = 'Kreislauf der Mangelern\u00e4hrung';
catalog['Cyclic ethers and epoxide naming'] = 'Cyclic ethers and epoxide naming';
catalog['Cylinder volume and surface area'] = 'Volumen und Oberfl\u00e4che eines Zylinders';
catalog['Cytotoxic T cells'] = 'Zytotoxische T-Zellen';
catalog['D. W. Griffith, "The Mothering Heart"'] = 'D. W. Griffith, "The Mothering Heart"';
catalog['DLab: A student presents her Lego robot'] = 'DLab: A student presents her Lego robot';
catalog['DLab: Bridge building project'] = 'DLab: Bridge building project';
catalog['DLab: Build up to bridge testing'] = 'DLab: Build up to bridge testing';
catalog['DLab: Building a Rube Goldberg machine'] = 'DLab: Building a Rube Goldberg machine';
catalog['DLab: Building a stellated icosahedron'] = 'DLab: Building a stellated icosahedron';
catalog['DLab: Exhibition day'] = 'DLab: Exhibition day';
catalog['DLab: Inspired by sumo robots'] = 'DLab: Inspired by sumo robots';
catalog['DLab: Instructor reflections on the Explore program'] = 'DLab: Instructor reflections on the Explore program';
catalog['DLab: Instructor reflections on the Spout Bot'] = 'DLab: Instructor reflections on the Spout Bot';
catalog['DLab: Lemonade stand simulation'] = 'DLab: Lemonade stand simulation';
catalog['DLab: Magician\'s guess simulation'] = 'DLab: Magician\'s guess simulation';
catalog['DLab: Monty Hall simulation'] = 'DLab: Monty Hall simulation';
catalog['DLab: Spout Bot project'] = 'DLab: Spout Bot project';
catalog['DLab: Student perspective on the Spout Bot project (1)'] = 'DLab: Student perspective on the Spout Bot project (1)';
catalog['DLab: Student perspective on the Spout Bot project (2)'] = 'DLab: Student perspective on the Spout Bot project (2)';
catalog['DLab: Students pit their robots against one another'] = 'DLab: Students pit their robots against one another';
catalog['DLab: Students present their computer science project'] = 'DLab: Students present their computer science project';
catalog['DLab: Students present their reverse engineering project'] = 'DLab: Students present their reverse engineering project';
catalog['DNA - Passage 1'] = 'DNA - Passage 1';
catalog['DNA - Passage 2'] = 'DNA - Passage 2';
catalog['DNA and chromatin regulation'] = 'DNA and chromatin regulation';
catalog['DNA repair'] = 'DNA repair';
catalog['DNA structure and replication'] = 'DNA-Struktur und Replikation';
catalog['DNA'] = 'DNA';
catalog['DNA, hot pockets, & the longest word ever'] = 'DNA, hei\u00dfe Taschen & das allerl\u00e4ngste Wort';
catalog['DVD Player'] = 'DVD-Player';
catalog['DVD player'] = 'DVD player';
catalog['D\u00fcrer, Four Apostles'] = 'D\u00fcrer, Four Apostles';
catalog['D\u00fcrer, Self-portrait (1500)'] = 'D\u00fcrer, Self-portrait (1500)';
catalog['D\u00fcrer, Self-portrait'] = 'D\u00fcrer, Self-portrait';
catalog['D\u00fcrer, the Large Piece of Turf'] = 'D\u00fcrer, the Large Piece of Turf';
catalog['Dada & Surrealism'] = 'Dada & Surrealism';
catalog['Dada Duchamp and the Ready-Mades'] = 'Dada Duchamp and the Ready-Mades';
catalog['Dada and Surrealism'] = 'Dada and Surrealism';
catalog['Daedalic: Lady of Auxerre, c. 650-625 B.C.E.'] = 'Daedalic: Lady of Auxerre, c. 650-625 B.C.E.';
catalog['Dali, Metamorphosis of Narcissus'] = 'Dali, Metamorphosis of Narcissus';
catalog['Dali, The Persistence of Memory'] = 'Dali, The Persistence of Memory';
catalog['Damien Hirst explores the symbolism of the skull and the futility of decorating plastic skulls in an attempt to make death more palatable. Curator Colin McEwan discusses skull imagery in Meso-American cultures, where the skull alludes to both death and life.'] = 'Damien Hirst explores the symbolism of the skull and the futility of decorating plastic skulls in an attempt to make death more palatable. Curator Colin McEwan discusses skull imagery in Meso-American cultures, where the skull alludes to both death and life.';
catalog['Damien Hirst\'s Cornucopia at the British Museum'] = 'Damien Hirst\'s Cornucopia at the British Museum';
catalog['Dan Flavin, Untitled (To Donna) II'] = 'Dan Flavin, Untitled (To Donna) II';
catalog['Dan Flavin, Untitled (To Donna) II, 1971 (Portland Art Museum)\n\nSpeakers: Jillian Punska, Kate Burns'] = 'Dan Flavin, Untitled (To Donna) II, 1971 (Portland Art Museum)\n\nSpeakers: Jillian Punska, Kate Burns';
catalog['Danny O&rsquo;Neill, President of The Roasterie, describes the early days of his business, including how he fit a coffee roaster in his basement. Danny also tells the story of his first sale and how he figured out his early financials.&nbsp;'] = 'Danny O&rsquo;Neill, President of The Roasterie, describes the early days of his business, including how he fit a coffee roaster in his basement. Danny also tells the story of his first sale and how he figured out his early financials.&nbsp;';
catalog['Danny O&rsquo;Neill, President of The Roasterie, describes the journey that led him to starting his own company as well as some of the key attributes of an entrepreneur.&nbsp;'] = 'Danny O&rsquo;Neill, President of The Roasterie, describes the journey that led him to starting his own company as well as some of the key attributes of an entrepreneur.&nbsp;';
catalog['Danny O&rsquo;Neill, President of The Roasterie, discusses the importance of finding your perfect customer.&nbsp;'] = 'Danny O&rsquo;Neill, President of The Roasterie, discusses the importance of finding your perfect customer.&nbsp;';
catalog['Danny O&rsquo;Neill, President of The Roasterie, talks about differentiation in your market. Danny goes on to describe how changing your strategy can have its trade-offs, including influencing your company&rsquo;s value and mission.&nbsp;'] = 'Danny O&rsquo;Neill, President of The Roasterie, talks about differentiation in your market. Danny goes on to describe how changing your strategy can have its trade-offs, including influencing your company&rsquo;s value and mission.&nbsp;';
catalog['Danny O\'Neill - Differentiation in your market'] = 'Danny O\'Neill - Differentiation in your market';
catalog['Danny O\'Neill - Finding the perfect customer'] = 'Danny O\'Neill - Finding the perfect customer';
catalog['Danny O\'Neill - Getting started'] = 'Danny O\'Neill - Getting started';
catalog['Danny O\'Neill - President of The Roasterie'] = 'Danny O\'Neill - Pr\u00e4sident von The Roasterie';
catalog['Danny O\u2019Neill, President of The Roasterie, describes the journey that led him to starting his own company as well as some of the key attributes of an entrepreneur.'] = 'Danny O\u2019Neill, President of The Roasterie, describes the journey that led him to starting his own company as well as some of the key attributes of an entrepreneur.';
catalog['Darwin'] = 'Darwin';
catalog['Data and modeling'] = 'Daten und Modellierung';
catalog['Data and statistics'] = 'Daten und Statistik';
catalog['Data on Chinese Foreign Assets Increase in 2010'] = 'Data on Chinese Foreign Assets Increase in 2010';
catalog['Data on Chinese M1 Increase in 2010'] = 'Data on Chinese M1 Increase in 2010';
catalog['Data on Chinese M1 increase in 2010'] = 'Data on Chinese M1 increase in 2010';
catalog['Data on Chinese US Balance of Payments'] = 'Data on Chinese US Balance of Payments';
catalog['Data on Chinese US balance of payments'] = 'Data on Chinese US balance of payments';
catalog['Data on Chinese foreign assets increase in 2010'] = 'Data on Chinese foreign assets increase in 2010';
catalog['Data sufficiency'] = 'Bestimmung des Informationsbedarfs zur Probleml\u00f6sung';
catalog['Data wires'] = 'Data wires';
catalog['Data'] = 'Daten';
catalog['Database Size'] = 'Database Size';
catalog['Database last update'] = 'Database last update';
catalog['Database of information stored in your KA Lite installation.'] = 'Database of information stored in your KA Lite installation.';
catalog['Dave Smith - CEO & Founder of TekScape IT'] = 'Dave Smith - CEO & Founder of TekScape IT';
catalog['David Christian explains how the Big Bang theory developed by looking at the evidence that supports it.<br>'] = 'David Christian explains how the Big Bang theory developed by looking at the evidence that supports it.<br>';
catalog['David Christian gives a TED talk covering the Universe&#39;s 13.8 billion year history in 18 minutes.'] = 'David Christian gives a TED talk covering the Universe&#39;s 13.8 billion year history in 18 minutes.';
catalog['David Hockney\'s "Pearblossom Hwy"'] = 'David Hockney\'s "Pearblossom Hwy"';
catalog['David, Oath of the Horatii'] = 'David, Der Schwur der Horatier';
catalog['David, The Emperor Napoleon in His Study at the Tuileries'] = 'David, The Emperor Napoleon in His Study at the Tuileries';
catalog['David, The Intervention of the Sabine Women'] = 'David, The Intervention of the Sabine Women';
catalog['David, The Lictors Returning to Brutus the Bodies of His Sons'] = 'David, The Lictors Returning to Brutus the Bodies of His Sons';
catalog['David, the Virgin and Child with Saints and Donor'] = 'David, the Virgin and Child with Saints and Donor';
catalog['Davis Guggenheim - Filmmaker'] = 'Davis Guggenheim - Filmemacher';
catalog['Day length in Alaska'] = 'Day length in Alaska';
catalog['Day/time the exercise was completed.'] = 'Day/time the exercise was completed.';
catalog['Day/time the login session finished.'] = 'Day/time the login session finished.';
catalog['Day/time the video was completed.'] = 'Day/time the video was completed.';
catalog['De Wain Valentine and polyester resin'] = 'De Wain Valentine and polyester resin';
catalog['De Wain Valentine: surface matters'] = 'De Wain Valentine: surface matters';
catalog['De Wain Valentine\'s "Gray Column" and the Getty Conservation Institute'] = 'De Wain Valentine\'s "Gray Column" and the Getty Conservation Institute';
catalog['Deadweight loss'] = 'Deadweight loss';
catalog['Dealing with repeated factors'] = 'Umgang mit wiederholten Faktoren';
catalog['Death is what fungi are all about. By feasting on the deceased remains of almost all organisms on the planet, converting the organic matter back into soil from which new life will spring, they perform perhaps the most vital function in the global food web. Fungi, which thrive on death, make all life possible.'] = 'Death is what fungi are all about. By feasting on the deceased remains of almost all organisms on the planet, converting the organic matter back into soil from which new life will spring, they perform perhaps the most vital function in the global food web. Fungi, which thrive on death, make all life possible.';
catalog['Deaths in World War I'] = 'Deaths in World War I';
catalog['Debt loops rationale and effects'] = 'Debt loops rationale and effects';
catalog['Debt vs. Equity.  Market Capitalization, Asset Value, and Enterprise Value.'] = 'Debt vs. Equity.  Market Capitalization, Asset Value, and Enterprise Value.';
catalog['Decarboxylation'] = 'Decarboxylation';
catalog['Decay and interference'] = 'Decay and interference';
catalog['Decay of cesium 137 example'] = 'Zerfall von C\u00e4sium 137 - Beispiel';
catalog['Deciding whether you want to play a game at a strange casino.'] = 'Entscheiden, ob du ein Spiel in einem ungew\u00f6hnlichen Kasino spielen m\u00f6chtest.';
catalog['Decimal Place Value 2'] = 'Die Dezimalwertigkeit der Stelle 2';
catalog['Decimal Place Value'] = 'Die Dezimalwertigkeit der Stelle';
catalog['Decimal place value'] = 'Der Stellenwert';
catalog['Decimals and Fractions'] = 'Dezimalzahlen und Br\u00fcche';
catalog['Decimals and fractions are two different ways of representing the same number.  In this tutorial, we\'ll explore converting between the two and thinking about what exactly decimals represent.\n\nCommon Core Standards: 4.NF.C.5, 4.NF.C.6, 4.NF.C.7'] = 'Dezimalzahlen und Br\u00fcche sind zwei verschiedene Arten, die gleiche Zahl darzustellen. In diesem Tutorial erforschen wir die Umwandlung zwischen den beiden und denken dar\u00fcber nach, was genau Dezimalzahlen darstellen.\n\nCommon Core Standards: 4.NF.C.5, 4.NF.C.6, 4.NF.C.7';
catalog['Decimals and fractions'] = 'Dezimalzahlen und Br\u00fcche';
catalog['Decimals on a Number Line'] = 'Dezimalzahlen auf einem Zahlenstrahl';
catalog['Decimals on a number line'] = 'Dezimalzahlen auf einem Zahlenstrahl';
catalog['Decimals on the number line 1'] = 'Dezimalzahlen auf dem Zahlenstrahl 1';
catalog['Decimals on the number line 2'] = 'Dezimalzahlen auf dem Zahlenstrang 2';
catalog['Decimals on the number line 3'] = 'Dezimalzahlen auf dem Zahlenstrahl 2';
catalog['Decimals'] = 'Dezimalzahlen';
catalog['Decision making'] = 'Decision making';
catalog['Decoding Chinese calligraphy'] = 'Decoding Chinese calligraphy';
catalog['Decolonization and Nationalism Triumphant'] = 'Dekolonisierung und Nationalismus triumphieren';
catalog['Decompose shapes to find area'] = 'Zerlegen von Formen, um eine Fl\u00e4che zu finden';
catalog['Decomposing a fraction visually'] = 'Einen Bruch optisch zerlegen';
catalog['Decomposing a mixed number'] = 'Eine gemischte Zahl zerlegen';
catalog['Decomposing an angle'] = 'Zerlegen eines Winkels';
catalog['Decomposing angles'] = 'Winkel zerlegen';
catalog['Decomposing fractions'] = 'Br\u00fcche zerlegen';
catalog['Deducing with logarithmic and exponential form'] = 'Ableitung mit logarithmischer und exponentieller Form';
catalog['Deductive Reasoning 1'] = 'Deduktive Beweisf\u00fchrung 1';
catalog['Deductive Reasoning 2'] = 'Deduktive Beweisf\u00fchrung 2';
catalog['Deductive Reasoning 3'] = 'Deduktive Beweisf\u00fchrung 3';
catalog['Deductive and inductive reasoning'] = 'Deduktive und induktive Argumentation';
catalog['Deductive reasoning 2'] = 'Deduktive Beweisf\u00fchrung 2';
catalog['Deductive reasoning 3'] = 'Deduktive Beweisf\u00fchrung 3';
catalog['Deficit and debt ceiling'] = 'Deficit and debt ceiling';
catalog['Defined and undefined matrix operations'] = 'Definierte und undefinierte Matrix-Operationen';
catalog['Defining a factorial function'] = 'Definieren einer Fakult\u00e4tsfunktion';
catalog['Defining a function at a point to make it continuous'] = 'Defining a function at a point to make it continuous';
catalog['Defining a function in Python'] = 'Definieren einer Funktion in Python';
catalog['Defining a plane in R3 with a point and normal vector'] = 'Defining a plane in R3 with a point and normal vector';
catalog['Defining and understanding what it means to take the product of a matrix and a vector'] = 'Defining and understanding what it means to take the product of a matrix and a vector';
catalog['Defining appropriate units'] = 'Passende Einheiten definieren';
catalog['Defining congruence through rigid transformations'] = 'Definition der Kongruenz durch starre Transformationen';
catalog['Defining discrete and continuous random variables.  Working through examples of both discrete and continuous random variables.'] = 'Definition von diskrete und stetigen Zufallsvariablen. Beispiele mit diskreten und stetigen Zufallsvariablen. ';
catalog['Defining life is harder than it seems. Consider its characteristics and the importance of DNA in evolution.'] = 'Defining life is harder than it seems. Consider its characteristics and the importance of DNA in evolution.';
catalog['Defining similarity through angle-preserving transformations'] = 'Definieren von \u00c4hnlichkeit durch winkelerhaltende Transformationen';
catalog['Defining the angle between vectors'] = 'Definieren des Winkels zwischen Vektoren';
catalog['Defining the determinant for nxn matrices.  An exampled of a 4x4 determinant.'] = 'Defining the determinant for nxn matrices.  An exampled of a 4x4 determinant.';
catalog['Defining transformations to match polygons'] = 'Defining transformations to match polygons';
catalog['Definite integral with substitution'] = 'Bestimmtes Integral mit Substitution';
catalog['Definite integrals (area under a curve) (part 3)'] = 'Bestimmte Integrale (Fl\u00e4che unter einer Kurve) (Teil 3)';
catalog['Definite integrals (part 2)'] = 'Bestimmte Integrale (Teil 2)';
catalog['Definite integrals (part 4)'] = 'Bestimmte Integrale (Teil 4)';
catalog['Definite integrals (part 5)'] = 'Bestimmte Integrale (Teil 5)';
catalog['Definite integrals and negative area'] = 'Bestimmte Integrale und negative Fl\u00e4che';
catalog['Definite integrals'] = 'Bestimmte Integrale';
catalog['Definition and intuition for Type 2 Regions'] = 'Definition and intuition for Type 2 Regions';
catalog['Definition and intuition for type 3 regions'] = 'Definition and intuition for type 3 regions';
catalog['Definition of Type 1 regions.  Visualizing what is and isn\'t a Type I region'] = 'Definition of Type 1 regions.  Visualizing what is and isn\'t a Type I region';
catalog['Definition of an angle.  How to denote an angle using points on the angle (including the vertex)'] = 'Definition eines Winkels. Wie man einen Winkel anhand seiner Punkte bezeichnet (einschlie\u00dflich der Scheitel)';
catalog['Definition of an ideal gas, ideal gas law'] = 'Definition of an ideal gas, ideal gas law';
catalog['Definition of efficiency for a heat engine.  Efficiency of a Carnot Engine.'] = 'Definition of efficiency for a heat engine.  Efficiency of a Carnot Engine.';
catalog['Definition of limit of a sequence and sequence convergence'] = 'Definition des Grenzwertes einer Folge und Konvergenz von Folgen';
catalog['Definition of preimage of a set'] = 'Definition of preimage of a set';
catalog['Definitions of the vector dot product and vector length'] = 'Definition des Skalarprodukts und Betrag eines Vektors';
catalog['Deflation despite increases in money supply'] = 'Deflation despite increases in money supply';
catalog['Deflation'] = 'Deflation';
catalog['Deflationary spiral'] = 'Deflationary spiral';
catalog['Degas, At the Races in the Countryside'] = 'Degas, At the Races in the Countryside';
catalog['Degas, The Bellelli Family'] = 'Degas, The Bellelli Family';
catalog['Degas, The Dance Class'] = 'Degas, The Dance Class';
catalog['Degas, Visit to a Museum'] = 'Degas, Visit to a Museum';
catalog['Degrees to radians'] = 'Grad in Bogenma\u00df';
catalog['Delacroix, Liberty Leading the People'] = 'Delacroix, Die Freiheit f\u00fchrt das Volk';
catalog['Delacroix, Scene of the massacre at Chios'] = 'Delacroix, Scene of the massacre at Chios';
catalog['Delacroix, The Death of Sardanapalus'] = 'Delacroix, The Death of Sardanapalus';
catalog['Delete Users'] = 'Benutzer l\u00f6schen';
catalog['Delete this sharing network.'] = 'Delete this sharing network.';
catalog['Delve into the history of humanity\u2019s passion to document and display specimens from the natural world and learn how biodiversity expeditions are conducted today.'] = 'Delve into the history of humanity\u2019s passion to document and display specimens from the natural world and learn how biodiversity expeditions are conducted today.';
catalog['Demand curve as marginal benefit curve'] = 'Demand curve as marginal benefit curve';
catalog['Demand-pull inflation under Johnson'] = 'Demand-pull inflation under Johnson';
catalog['Demo: ant bot'] = 'Demo: ant bot';
catalog['Demo: coin detector'] = 'Demo: coin detector';
catalog['Demo: light guitar'] = 'Demo: light guitar';
catalog['Demonstrating why synthetic division gives you the same result as traditional algebraic long division'] = 'Demonstration, warum man mit synthetischer Division das gleiche Ergebnis erh\u00e4lt wie mit traditionelle,r algebraischer, langer Division';
catalog['Dependent and independent variables exercise example 1'] = '\u00dcbungen zu abh\u00e4ngigen und unabh\u00e4ngigen Variablen 1';
catalog['Dependent and independent variables exercise example 2'] = '\u00dcbungsbeispiel zu abh\u00e4ngigen und unabh\u00e4ngigen Variablen 2';
catalog['Dependent and independent variables exercise example 3'] = '\u00dcbungsbeispiel zu abh\u00e4ngigen und unabh\u00e4ngigen Variablen 3';
catalog['Dependent and independent variables'] = 'Abh\u00e4ngige und Unabh\u00e4ngige Variablen';
catalog['Dependent events'] = 'Abh\u00e4ngige Ereignisse';
catalog['Dependent probability'] = 'Bedingte Wahrscheinlichkeit';
catalog['Depending on your view of things, this may be the most violent of our tutorials.  Things will crash and collide.  We\'ll learn about momentum and how it is transferred.  Whether you\'re playing pool (or "billiards") or deciding whether you want to get tackled by the 300lb. guy, this tutorial is of key importance.'] = 'Depending on your view of things, this may be the most violent of our tutorials.  Things will crash and collide.  We\'ll learn about momentum and how it is transferred.  Whether you\'re playing pool (or "billiards") or deciding whether you want to get tackled by the 300lb. guy, this tutorial is of key importance.';
catalog['Depolarization waves flowing through the heart'] = 'Depolarization waves flowing through the heart';
catalog['Depreciating the truck'] = 'Abwertung des LKWs';
catalog['Depreciation a capital asset'] = 'Depreciation a capital asset';
catalog['Depreciation and amortization'] = 'Abschreibungen auf materielle und immaterielle Wirtschaftsg\u00fcter';
catalog['Depreciation and opportunity cost of capital'] = 'Depreciation and opportunity cost of capital';
catalog['Depreciation in Cash Flow'] = 'Abschreibungen in der Kapitalflussrechnung';
catalog['Depreciation in cash flow'] = 'Depreciation in cash flow';
catalog['Depreciation the truck spreads out the expense'] = 'Depreciation the truck spreads out the expense';
catalog['Depreciation'] = 'Abschreibungen';
catalog['Derivation of gas constants using molar volume and STP'] = 'Derivation of gas constants using molar volume and STP';
catalog['Derivative and marginal cost'] = 'Derivative and marginal cost';
catalog['Derivative applications'] = 'Anwendungen der Ableitung';
catalog['Derivative as slope of a tangent line'] = 'Ableitung als Steigung einer Tangente';
catalog['Derivative intuition module'] = 'Modul Gesp\u00fcr f\u00fcr Ableitungen';
catalog['Derivative intuition'] = 'Intuition von Ableitungen';
catalog['Derivative of a piecewise-defined function'] = 'Derivative of a piecewise-defined function';
catalog['Derivative of a position vector valued function'] = 'Derivative of a position vector valued function';
catalog['Derivative of log with arbitrary base'] = 'Derivative of log with arbitrary base';
catalog['Derivative of triple composition'] = 'Derivative of triple composition';
catalog['Derivative of x^(x^x)'] = 'Leite ab: x^(x^x)';
catalog['Derivative properties and intuition'] = 'Derivative properties and intuition';
catalog['Derivative properties and polynomial derivatives'] = 'Derivative properties and polynomial derivatives';
catalog['Derivative using log properties'] = 'Ableitung mit Protokolleigenschaften';
catalog['Derivatives can be used to calculate instantaneous rates of change.  The rate of change of position with respect to time is velocity and the rate of change of velocity with respect to time is acceleration.  Using these ideas, we\'ll be able to analyze one-dimensional particle movement given position as a function of time.'] = 'Ableitungen k\u00f6nnen verwendet werden, um momentane \u00c4nderungsraten zu berechnen.  Die \u00c4nderung der Position in Bezug auf Zeit ist Geschwindigkeit und die \u00c4nderung der Geschwindigkeit in Bezug auf Zeit ist die Beschleunigung.  Diese Ideen verwenden wir und k\u00f6nnen somit eindimensionale Bewegung von Teilen analysieren, wobei die Position eine Funktion der Zeit ist.';
catalog['Derivatives in multi-dimensions and for vectors'] = 'Mehrdimensionale Ableitungen und Vektorableitungen';
catalog['Derivatives involving natural log function including logarithmic differentiation'] = 'Derivatives involving natural log function including logarithmic differentiation';
catalog['Derivatives of common functions'] = 'Ableitungen von gew\u00f6hnlichen Funktionen';
catalog['Derivatives of sin x, cos x, tan x, e^x and ln x'] = 'Ableitungen von sin x, cos x, tan x, e^x und ln x';
catalog['Deriving a formula for  maximum projectile displacement as a function of elapsed time'] = 'Deriving a formula for  maximum projectile displacement as a function of elapsed time';
catalog['Deriving a method for determining inverses'] = 'Deriving a method for determining inverses';
catalog['Deriving a unit normal vector from the surface parametrization'] = 'Deriving a unit normal vector from the surface parametrization';
catalog['Deriving demand curve from tweaking marginal utility per dollar'] = 'Deriving demand curve from tweaking marginal utility per dollar';
catalog['Deriving displacement as a function of time, acceleration and initial velocity'] = 'Deriving displacement as a function of time, acceleration and initial velocity';
catalog['Deriving displacement as a function of time, constant acceleration and initial velocity'] = 'Deriving displacement as a function of time, constant acceleration and initial velocity';
catalog['Deriving integration by parts formula'] = 'Ableiten der Formel f\u00fcr partielle Integration';
catalog['Deriving max projectile displacement given time'] = 'Deriving max projectile displacement given time';
catalog['Deriving the quadratic formula by completing the square.'] = 'Ableitung der quadratischen L\u00f6sungsformel durch Vervollst\u00e4ndigen.';
catalog['Descartes and Cartesian coordinates'] = 'Descartes und kartesische Koordinaten';
catalog['Describing ratios'] = 'Beschreibung von Anteilen';
catalog['Describing subsets of sample spaces'] = 'Describing subsets of sample spaces';
catalog['Describing the Meaning of Percent 2'] = 'Bedeutung von ,,Prozent\'\' beschreiben 2';
catalog['Describing the Meaning of Percent'] = 'Bedeutung von ,,Prozent\'\'';
catalog['Describing the meaning of percent 2'] = 'Bedeutung von ,,Prozent\'\' beschreiben 2';
catalog['Describing the meaning of percent'] = 'Bedeutung von ,,Prozent\'\' beschreiben';
catalog['Description'] = 'Beschreibung';
catalog['Descriptive statistics'] = 'Beschreibende Statistik';
catalog['Design duo Preen drew on David Hockney&#39;s painting <em>A Bigger Splash</em> in creating swimwear and clothing for their resort collection 2014. They invited us into the studio to show us how they transformed Hockney&#39;s painting with its hot LA light and inviting pool into a fashion &#39;romance of a dream of an ideal.&#39;&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.'] = 'Design duo Preen drew on David Hockney&#39;s painting <em>A Bigger Splash</em> in creating swimwear and clothing for their resort collection 2014. They invited us into the studio to show us how they transformed Hockney&#39;s painting with its hot LA light and inviting pool into a fashion &#39;romance of a dream of an ideal.&#39;&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.';
catalog['Design review (calibration)'] = 'Design review (calibration)';
catalog['Designed for clinicians as well as the general public, these engaging tutorials provide an overview of the U.S. health care system and payment and delivery reform efforts at the federal, state, and local levels. Created by the Merkin Initiative at The Brookings Institution and presented by Khan Academy, the content covers an introduction to health care costs, Medicare, Medicaid, prescription drug coverage, and more.'] = 'Designed for clinicians as well as the general public, these engaging tutorials provide an overview of the U.S. health care system and payment and delivery reform efforts at the federal, state, and local levels. Created by the Merkin Initiative at The Brookings Institution and presented by Khan Academy, the content covers an introduction to health care costs, Medicare, Medicaid, prescription drug coverage, and more.';
catalog['Despite the brief dismantling of the Royal Academy during the French Revolution, art remained an extension of the power of the French State which regularly purchased art that it favored (often art that supported its political objectives). Through the Royal Academy (originally been founded by Louis XIV), the state extended its reach to the official exhibitions (salons) and to matters of style and subject matter through the \u00c9cole des Beaux Arts (School of Fine Arts). These were not just the official institutions of art, they were, in essence, the only institutions available for living artists to train and to make their work known. This tutorial looks at a crucial moment for painting, on the eve of the Revolution of 1848. We also examine one of the great State commissions of the Second Empire, The Opera House, as well as The Dance, a sculpture that adorned its fa\u00e7ade.'] = 'Despite the brief dismantling of the Royal Academy during the French Revolution, art remained an extension of the power of the French State which regularly purchased art that it favored (often art that supported its political objectives). Through the Royal Academy (originally been founded by Louis XIV), the state extended its reach to the official exhibitions (salons) and to matters of style and subject matter through the \u00c9cole des Beaux Arts (School of Fine Arts). These were not just the official institutions of art, they were, in essence, the only institutions available for living artists to train and to make their work known. This tutorial looks at a crucial moment for painting, on the eve of the Revolution of 1848. We also examine one of the great State commissions of the Second Empire, The Opera House, as well as The Dance, a sculpture that adorned its fa\u00e7ade.';
catalog['Dessalines takes on Leclerc and Rochambeau'] = 'Dessalines takes on Leclerc and Rochambeau';
catalog['Destination: Gale crater'] = 'Destination: Gale Krater';
catalog['Detailed analysis of the rent vs. buy decision.'] = 'Detaillierte Analyse zur Entscheidung mieten vs. kaufen.';
catalog['Details on shifting aggregate planned expenditures'] = 'Details on shifting aggregate planned expenditures';
catalog['Details on the landing site: Gale Crater<br>'] = 'Details on the landing site: Gale Crater<br>';
catalog['Details on the light-dependent reactions of photosynthesis'] = 'Informationen \u00fcber lichtabh\u00e4ngige Reaktionen der Photosynthese';
catalog['Detectable civilizations in our galaxy 1'] = 'Detectable civilizations in our galaxy 1';
catalog['Detectable civilizations in our galaxy 2'] = 'Detectable civilizations in our galaxy 2';
catalog['Detectable civilizations in our galaxy 3'] = 'Detectable civilizations in our galaxy 3';
catalog['Detectable civilizations in our galaxy 4'] = 'Detectable civilizations in our galaxy 4';
catalog['Detectable civilizations in our galaxy 5'] = 'Detectable civilizations in our galaxy 5';
catalog['Determinant after row operations'] = 'Determinant after row operations';
catalog['Determinant and area of a parallelogram'] = 'Determinant and area of a parallelogram';
catalog['Determinant as scaling factor'] = 'Determinant as scaling factor';
catalog['Determinant of a 2x2 matrix'] = 'Determinante einer 2x2 Matrix';
catalog['Determinant of a 3x3 matrix'] = 'Determinante einer 3x3 Matrix';
catalog['Determinant of a matrix with duplicate rows'] = 'Determinant of a matrix with duplicate rows';
catalog['Determinant of transpose'] = 'Determinant of transpose';
catalog['Determinant when row is added'] = 'Determinant when row is added';
catalog['Determinant when row multiplied by scalar'] = 'Determinant when row multiplied by scalar';
catalog['Determinants along other rows/cols'] = 'Determinants along other rows/cols';
catalog['Determinants: Finding the determinant of a 3x3 matrix'] = 'Determinanten: Berechnen der Determinante einer 3x3-Matrix';
catalog['Determine how many significant figures a given number has.'] = 'Bestimmen Sie, wie viele signifikante Stellen eine gegebene Zahl hat.';
catalog['Determine how many solutions a quadratic equation has and whether they are rational, irrational, or complex'] = 'Determine how many solutions a quadratic equation has and whether they are rational, irrational, or complex';
catalog['Determine how many solutions exist to a given system of equations (one, zero, infinite).'] = 'Berechne, wie viele L\u00f6sungen f\u00fcr ein gegebenes Gleichungssystem existieren (eine, null, unendlich viele).';
catalog['Determine if a graphed function is even, odd, or neither.'] = 'Bestimme ob die dargestellte Funktion gerade, ungerade oder nichts von beidem ist.';
catalog['Determine if a sequence of heads and tails was generated with a fair coin, unfair coin, or human guesses.'] = 'Wir bestimmen, ob eine Folge aus Kopf und Zahl mit einer fairen M\u00fcnze, einer unfairen M\u00fcnze oder durch Raten erzeugt wurde.\n';
catalog['Determine if different relationships are functions or not.'] = 'Bestimme, ob unterschiedliche Beziehungen Funktionen sind oder nicht.';
catalog['Determine if the graph of a conic section shows a circle, hyperbola, parabola, or ellipse.'] = 'Bestimme, ob der Graph eines Kegelanschnitts einen Kreis, eine Hyperbel, eine Parabel oder eine Ellipse darstellt.';
catalog['Determine the amount (in grams) of a product from given amounts of two reactants, one of which is limiting.'] = 'Bestimme aus den gegebenen Mengen von zwei Edukten, von denen eines limitierend ist, die Menge eines Produktes (in Gramm).';
catalog['Determine the amount (in moles) of a product from a given amount of one reactant.'] = 'Bestimme die Menge (in mol) eines Produktes aus einer gegebenen Menge eines Reaktanten.';
catalog['Determine the equation for one graphed function in terms of another.'] = 'Determine the equation for one graphed function in terms of another.';
catalog['Determine the equation of a line parallel or perpendicular to the given line. Determine the relationship between two linear equations.'] = 'Bestimme die Gleichung einer Linie, die parallel oder nomal zur gegebenen Linie ist. Bestimme die Beziehung zwischen den zwei linearen Gleichungen.';
catalog['Determine the inverse of a linear function based on the equation and graph.'] = 'Bestimme die Umkehrfunktion einer linearen Funktion mit Hilfe ihrer Gleichung und ihres Graphen';
catalog['Determine whether the addition, subtraction, or multiplication of two matrices is defined'] = 'Bestimme, ob die Addition, Subtraktion oder Multiplikation zweier Matrizen definiert ist';
catalog['Determine which angles must be congruent when parallel lines are crossed by a transversal.'] = 'Bestimme, welche Winkel kongruent sein m\u00fcssen, wenn parallele Linien durch eine Transversale geschnitten werden.';
catalog['Determine which of several given ordered pairs is not graphed on the coordinate plane.'] = 'Bestimme, welcher der gegebenen Punkte nicht im Koordinatensystem dargestellt wurde.';
catalog['Determine which ordered pair represents a solution to a graph or equation.'] = 'Finde heraus, welches geordnete Paar eine L\u00f6sung f\u00fcr eine Kurve oder Gleichung darstellt.';
catalog['Determing a translation between points'] = 'Determing a translation between points';
catalog['Determining a Position Vector-Valued Function for a Parametrization of Two Parameters'] = 'Determining a Position Vector-Valued Function for a Parametrization of Two Parameters';
catalog['Determining a linear equation by trying out values from a table'] = 'Bestimmung einer Geradengleichung durch Ausprobieren der Wertetabelle Tabelle';
catalog['Determining a method for constructing inverse transformation matrices'] = 'Determining a method for constructing inverse transformation matrices';
catalog['Determining a position vector-valued function for a parametrization of two parameters'] = 'Determining a position vector-valued function for a parametrization of two parameters';
catalog['Determining a translation for a shape'] = 'Determining a translation for a shape';
catalog['Determining a trig function given its graph'] = 'Bestimmen der trigonometrischen Funktion anhand ihres Graphen';
catalog['Determining coefficient in binomial expansion'] = 'Determining coefficient in binomial expansion';
catalog['Determining how fast something will be traveling upon impact when it is released from a given height'] = 'Determining how fast something will be traveling upon impact when it is released from a given height';
catalog['Determining if a reaction is spontaneous by calculating the change in Gibbs Free Energy.'] = 'Determining if a reaction is spontaneous by calculating the change in Gibbs Free Energy.';
catalog['Determining mistakes in steps example'] = 'Fehler in den L\u00f6sungsschritten erkennen - Beispiel';
catalog['Determining the Laplace Transform of t'] = 'Determining the Laplace Transform of t';
catalog['Determining the amplitude and period of a trig function'] = 'Bestimmung der Amplitude und Phase einer trigonometrischen Funktion';
catalog['Determining the derivatives of simple polynomials.'] = 'Bestimmen der Ableitungen f\u00fcr einfache Polynome.';
catalog['Determining the eigenvalues of a 3x3 matrix'] = 'Determining the eigenvalues of a 3x3 matrix';
catalog['Determining the equation for a plane in R3 using a point on the plane and a normal vector'] = 'Determining the equation for a plane in R3 using a point on the plane and a normal vector';
catalog['Determining the equation of a line'] = 'Die Gleichung einer geraden Linie herausfinden';
catalog['Determining the equation of a trig function'] = 'Determining the equation of a trig function';
catalog['Determining the line of reflection'] = 'Determining the line of reflection';
catalog['Determining the planar equation for a column space in R3'] = 'Determining the planar equation for a column space in R3';
catalog['Determining the projection of a vector on s line'] = 'Determining the projection of a vector on s line';
catalog['Determining the proper orientation of a boundary given the orientation of the normal vector'] = 'Determining the proper orientation of a boundary given the orientation of the normal vector';
catalog['Determining the proper orientation of the boundary given the orientation of the surface'] = 'Determining the proper orientation of the boundary given the orientation of the surface';
catalog['Determining whether 3 vectors are linearly independent and/or span R3'] = 'Bestimmen, ob 3 Vektoren linear unabh\u00e4ngig sind und/oder den R3 aufspannen';
catalog['Determining whether a transformation is onto'] = 'Determining whether a transformation is onto';
catalog['Determining whether speed is increasing.  Difference between speed and acceleration'] = 'Bestimmen, ob die Geschwindigkeit zunimmt.  Unterschied zwischen Geschwindigkeit und Beschleunigung';
catalog['Determining which limit statements are true'] = 'Bestimmen, welche Grenzwerte wahr sind';
catalog['Determining which linear equation could generate a table of values by plugging in values.'] = 'Die lineare Gleichung bestimmen, die eine Wertetabelle generieren kann, indem man Werte einsetzt.';
catalog['Developed over 7,000 years, urushi or Japanese lacquer is made with toxic sap and years of patient labor. Lacquer is extremely durable, moisture resistant, and has an incomparable natural gloss. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Developed over 7,000 years, urushi or Japanese lacquer is made with toxic sap and years of patient labor. Lacquer is extremely durable, moisture resistant, and has an incomparable natural gloss. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Developing Value for the Product'] = 'Developing Value for the Product';
catalog['Development of agriculture and writing'] = 'Development of agriculture and writing';
catalog['Device ID'] = 'Device ID';
catalog['Device IP Address'] = 'Device IP Address';
catalog['Device Metadata'] = 'Device Metadata';
catalog['Device Syncing History'] = 'Device Syncing History';
catalog['Device information'] = 'Device information';
catalog['Device name'] = 'Device name';
catalog['Device registration'] = 'Ger\u00e4t-Registrierung';
catalog['Devices'] = 'Devices';
catalog['Diagnosing active TB'] = 'Diagnosing active TB';
catalog['Diagramming what happens with a function call'] = 'Diagramming what happens with a function call';
catalog['Dialogue for 2'] = 'Dialogue for 2';
catalog['Diane Arbus, Boy with a Toy Grenade, 1962, gelatin silver print, 15-1/2 x 15-1/16 inches or 39.4 x 38.3 cm (Metropolitan Museum of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Shana Gallagher-Lindsay'] = 'Diane Arbus, Boy with a Toy Grenade, 1962, gelatin silver print, 15-1/2 x 15-1/16 inches or 39.4 x 38.3 cm (Metropolitan Museum of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Shana Gallagher-Lindsay';
catalog['Diane Arbus, Boy with a Toy Hand Grenade'] = 'Diane Arbus, Boy with a Toy Hand Grenade';
catalog['Diastereomers and meso compounds'] = 'Diastereomers and meso compounds';
catalog['Diastereomers'] = 'Diastereomere';
catalog['Did not specify facility, group, nor user.'] = 'Did not specify facility, group, nor user.';
catalog['Did you know Bill Gates was a big history student? Here he explains why it&#39;s his favorite course of all time.'] = 'Did you know Bill Gates was a big history student? Here he explains why it&#39;s his favorite course of all time.';
catalog['Did you know that glaciers hold nearly 2% of Earth&#39;s water?'] = 'Did you know that glaciers hold nearly 2% of Earth&#39;s water?';
catalog['Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")?  And what is so great about algebra anyway?  \n\nThis tutorial doesn\'t explore algebra so much as it introduces the history and ideas that underpin it.'] = 'Ist dir mal aufgefallen, dass das Wort "Algebra" aus dem Arabischen kommt (genau wie "Algorithmus" und "Al Jazeera" und "Aladdin")? Und warum ist Algebra eigentlich so gro\u00dfartig?\n\nDieses Tutorial erkundet weniger die Algebra an sich sondern eher die Geschichte und die Ideen, die hinter ihr steckt.';
catalog['Did you think that we were playing with equations just for fun?  Nope.  They are actually useful for solving real problems.\n\nCommon Core Standards: 7.EE.B.4, 7.EE.B.4a'] = 'Hast du gedacht, dass wir mit Gleichungen nur so zum Spa\u00df spielen?  N\u00f6.  Sie sind wirklich n\u00fctzlich f\u00fcr die L\u00f6sung von echten Problemen.\n\n Basisnormen: 7.EE.B. 4, 7.EE.B.4a';
catalog['Diego Rodr\u00edguez de Silva y Vel\u00e1zquez, Las Meninas, c. 1656, oil on canvas,\n125 1/4 x 108 5/8 in. (318 x 276 cm), (Museo Nacional del Prado, Madrid)\n\nFor more art history videos, visit smarthistory.org'] = 'Diego Rodr\u00edguez de Silva y Vel\u00e1zquez, Las Meninas, ca. 1656, \u00d6l auf Leinwand, \n318 x 276 cm, (Museo Nacional del Prado, Madrid) \n\nF\u00fcr mehr Kunstgeschichte-Videos, gehe auf smarthistory.org';
catalog['Diego Rodr\u00edguez de Silva y Vel\u00e1zquez, Los Borrachos (The Drunks) \nor The Triumph of Bacchus, 1628-1629, 165 x 225 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Diego Rodr\u00edguez de Silva y Vel\u00e1zquez, Los Borrachos (The Drunks) \nor The Triumph of Bacchus, 1628-1629, 165 x 225 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Diego Vel\u00e1zquez, Vulcan\'s Forge, c. 1630, oil on canvas, 223 cm x 290 cm (Museo del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/Velazquez-Las-Meninas.html'] = 'Diego Vel\u00e1zquez, Vulcan\'s Forge, c. 1630, oil on canvas, 223 cm x 290 cm (Museo del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/Velazquez-Las-Meninas.html';
catalog['Dielectrics in capacitors'] = 'Dielectrics in capacitors';
catalog['Diels-Alder I: Mechanism'] = 'Diels-Alder I: Mechanismus';
catalog['Diels-Alder II: Endo vs exo'] = 'Diels-Alder II: Endo vs exo';
catalog['Diels-Alder III: Stereochemistry of dienophile'] = 'Diels-Alder III: Stereochemistry of dienophile';
catalog['Diels-Alder IV: Stereochemistry of diene'] = 'Diels-Alder IV: Stereochemistry of diene';
catalog['Diels-Alder V: Regiochemistry'] = 'Diels-Alder V: Regiochemistry';
catalog['Diels-Alder VI: More regiochemistry'] = 'Diels-Alder VI: More regiochemistry';
catalog['Diels-Alder VII: Intramolecular'] = 'Diels-Alder VII: Intramolecular';
catalog['Diels-Alder reaction'] = 'Diels-Alder-Reaktion';
catalog['Diels-alder reaction'] = 'Diels-Alder-Reaktion';
catalog['Difference between BC, BCE, AD and CE.  A little bit about the birth of Jesus as well.'] = 'Unterschied zwischen BC, BCE, AD und CE.  Ebenso ein Wenig \u00fcber die Geburt von Jesus.';
catalog['Difference between Historical Cost and Fair Value Accounting'] = 'Difference between Historical Cost and Fair Value Accounting';
catalog['Difference between a firm\'s accounting and economic profit'] = 'Der Unterschied zwischen dem Buch- und \u00f6konomischen Gewinn eines Unternehmens';
catalog['Difference between debt and operating costs.  Seeing how large obligations are for social security and medicare'] = 'Difference between debt and operating costs.  Seeing how large obligations are for social security and medicare';
catalog['Difference between electrical potential (voltage) and electrical potential energy'] = 'Difference between electrical potential (voltage) and electrical potential energy';
catalog['Difference between equations and functions'] = 'Unterschied zwischen Gleichungen und Funktionen';
catalog['Difference between every day and economic notions of investment and consumption'] = 'Unterschied zwischem allt\u00e4glichen und \u00f6konomischen Verst\u00e4ndnis von Investments und Verbrauch';
catalog['Difference between gross profit, operating profit, and net income.'] = 'Unterschied zwischen Bruttogewinn, Betriebsgewinn und Nettogewinn.';
catalog['Difference between inductive and deductive reasoning'] = 'Unterschied zwischen induktiver und deduktiver Beweisf\u00fchrung';
catalog['Difference between lines, line segments, and rays'] = 'Unterschied zwischen Linien, Strecken und Strahlen';
catalog['Difference between mass and weight'] = 'Unterschied zwischen Masse und Gewicht';
catalog['Difference of Functions'] = 'Differenz von Funktionen';
catalog['Difference of Sample Means Distribution'] = 'Abweichung zum Mittelwert der Stichprobenverteilung';
catalog['Difference of cubes factoring'] = 'Difference of cubes factoring';
catalog['Difference of functions'] = 'Differenz von Funktionen';
catalog['Difference of sample means distribution'] = 'Abweichung zum Mittelwert der Stichprobenverteilung';
catalog['Different way to determine time in air'] = 'Different way to determine time in air';
catalog['Different ways of accounting for an asset.  Mark-to-model vs. mark-to-market.'] = 'Different ways of accounting for an asset.  Mark-to-model vs. mark-to-market.';
catalog['Different ways of measuring the money supply'] = 'Verschiedene Arten um die Geldmenge zu messen';
catalog['Different ways of representing a flux integral'] = 'Different ways of representing a flux integral';
catalog['Different ways to represent 1 as a fraction'] = 'Verschiedene M\u00f6glichkeiten eine Eins als Dezimalbruch darzustellen';
catalog['Different ways to view subtraction'] = 'Verschiedene Arten um Subtraktion zu verstehen';
catalog['Differential calculus'] = 'Differentielle Analysis';
catalog['Differential equations with only first derivatives.'] = 'Differentialgleichungen mit ersten Ableitungen.';
catalog['Differential equations'] = 'Differentialgleichungen';
catalog['Differential of a vector valued function'] = 'Differential of a vector valued function';
catalog['Diffie-hellman key exchange'] = 'Diffie-Hellman-Schl\u00fcsselaustausch';
catalog['Diffusion and Osmosis'] = 'Diffusion und Osmose';
catalog['Diffusion and osmosis'] = 'Diffusion und Osmose';
catalog['Digesting Food'] = 'Nahrung verdauen';
catalog['Digging through time'] = 'Digging through time';
catalog['Digital Camera'] = 'Digitalkamera';
catalog['Digital camera connections II'] = 'Digital camera connections II';
catalog['Digital camera connections'] = 'Digital camera connections';
catalog['Digital camera'] = 'Digital camera';
catalog['Digital recorder/player connections'] = 'Digital recorder/player connections';
catalog['Dihybrid crosses.  Independent assortment. Incomplete dominance.  Codominance and multiple alleles.'] = 'Dihybride Vererbung. Unabh\u00e4ngige Vererbung. Unvollst\u00e4ndige Dominanz. Codominanz und multiple Allele.';
catalog['Dilating from an arbitrary point example'] = 'Dilating from an arbitrary point example';
catalog['Dilating one line onto another'] = 'Dilating one line onto another';
catalog['Dilations or scaling around a point'] = 'Streckung oder Skalierung um einen Punkt';
catalog['Dilations'] = 'Streckungen';
catalog['Dilution'] = 'Kapitalverw\u00e4sserung';
catalog['Dimension of the Column Space or Rank'] = 'Dimension of the Column Space or Rank';
catalog['Dimension of the Null Space or Nullity'] = 'Dimension of the Null Space or Nullity';
catalog['Dimension of the column space or rank'] = 'Dimension of the column space or rank';
catalog['Dimension of the null space or nullity'] = 'Dimension of the null space or nullity';
catalog['Dimensions from volume of box'] = 'Abmessungen vom Volumen eines Quaders';
catalog['Dimensions of identity matrix'] = 'Dimensionen der Einheitsmatrix';
catalog['Dionysiac frieze, Villa of Mysteries, Pompeii'] = 'Dionysiac frieze, Villa of Mysteries, Pompeii';
catalog['Dionysian Cult Cycle (?), Villa of Mysteries, before 79 C.E., fresco, Pompeii,\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Dionysian Cult Cycle (?), Villa of Mysteries, before 79 C.E., fresco, Pompeii,\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Dipole moment'] = 'Dipolmoment';
catalog['Dipylon Amphora, c. 755-750 B.C.E., ceramic, 160 cm (National Archaeological Museum, Athens)&nbsp;Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris'] = 'Dipylon Amphora, c. 755-750 B.C.E., ceramic, 160 cm (National Archaeological Museum, Athens)&nbsp;Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris';
catalog['Dirac delta function'] = 'Dirac delta function';
catalog['Direct Inverse and Joint Variation'] = 'Direkte inverse und gemeinsame Variation';
catalog['Direct Variation 1'] = 'Proportionale Zuordnungen 1';
catalog['Direct Variation Application'] = 'Direkte Variation Anwendung';
catalog['Direct Variation Models'] = 'Direkte Variationsmodelle';
catalog['Direct and inverse variation'] = 'Direkte und inverse Variationen';
catalog['Direct inverse and joint variation'] = 'Direkte inverse und gemeinsame Variation';
catalog['Direct variation 1'] = 'Proportionale Zuordnungen 1';
catalog['Direct variation application'] = 'Direkte Variation Anwendung';
catalog['Direct variation models'] = 'Direkte Variationsmodelle';
catalog['Directing Effects'] = 'Dirigierende Effekte';
catalog['Directing effects'] = 'Directing effects';
catalog['Director Penelope Curtis introduces the new Tate Britain'] = 'Director Penelope Curtis introduces the new Tate Britain';
catalog['Director\'s Highlights: Penelope Curtis'] = 'Director\'s Highlights: Penelope Curtis';
catalog['Disc method (rotating f(x) about x axis)'] = 'Disc method (rotating f(x) about x axis)';
catalog['Disc method (washer method) for rotation around x-axis'] = 'Disc method (washer method) for rotation around x-axis';
catalog['Disc method around y-axis'] = 'Disc method around y-axis';
catalog['Disc method rotating around vertical line'] = 'Disc method rotating around vertical line';
catalog['Disc method rotation around horizontal line'] = 'Disc method rotation around horizontal line';
catalog['Disc method with outer and inner function boundaries'] = 'Disc method with outer and inner function boundaries';
catalog['Disc method'] = 'Disc method';
catalog['Disc method: Function rotated about x-axis'] = 'Disc method: Function rotated about x-axis';
catalog['Disc method: Rotating x = f(y) around the y-axis'] = 'Disc method: Rotating x = f(y) around the y-axis';
catalog['Discount, tax, and tip word problems'] = 'Textaufgaben zu Rabatt, Steuer und Trinkgeld';
catalog['Discover Bodh Gaya, one of several sights in India associated with the birth of Buddhism.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/mahabodi-temple-bodh-gaya-india">Learn more about the Mahabodhi Temple at Bodh Gaya</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'Discover Bodh Gaya, one of several sights in India associated with the birth of Buddhism.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/mahabodi-temple-bodh-gaya-india">Learn more about the Mahabodhi Temple at Bodh Gaya</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['Discover Goryeo dynasty (918&ndash;1392) celadons, among the most renowned of Asian ceramics.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/introduction-goryeo-dynasty-918-1392">Learn more about the Goryeo dynasty (918&ndash;1392)</a>&nbsp;on the Asian Art Museum&#39;s education portal.&nbsp;'] = 'Discover Goryeo dynasty (918&ndash;1392) celadons, among the most renowned of Asian ceramics.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/introduction-goryeo-dynasty-918-1392">Learn more about the Goryeo dynasty (918&ndash;1392)</a>&nbsp;on the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['Discover how Mondrian explored center and periphery in his pioneering abstraction.&nbsp;<br />\nTo learn about other great moments in modern art, take our online course, <a href="http://www.moma.org/learn/courses/online#course5">Modern Art, 1880-1945</a>.'] = 'Discover how Mondrian explored center and periphery in his pioneering abstraction.&nbsp;<br />\nTo learn about other great moments in modern art, take our online course, <a href="http://www.moma.org/learn/courses/online#course5">Modern Art, 1880-1945</a>.';
catalog['Discover how advertising, machinery and U-boats intersect on the eve of WWI. &nbsp;To learn about other great moments in modern art, take our online course, <a href="http://www.moma.org/learn/courses/online#course5">Modern Art, 1880-1945</a>.'] = 'Discover how advertising, machinery and U-boats intersect on the eve of WWI. &nbsp;To learn about other great moments in modern art, take our online course, <a href="http://www.moma.org/learn/courses/online#course5">Modern Art, 1880-1945</a>.';
catalog['Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the <a data-cke-saved-href="http://www.moma.org/learn/courses/online#self" href="http://www.moma.org/learn/courses/online#self">list</a> of offerings including online courses on collage and painting techniques.'] = 'Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the <a data-cke-saved-href="http://www.moma.org/learn/courses/online#self" href="http://www.moma.org/learn/courses/online#self">list</a> of offerings including online courses on collage and painting techniques.';
catalog['Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the&nbsp;<a data-cke-saved-href="http://www.moma.org/learn/courses/online#self" href="http://www.moma.org/learn/courses/online#self">list</a>&nbsp;of offerings including online courses on collage and painting techniques.'] = 'Discover how artists create different effects with linocuts and woodcuts. Did you know that MoMA offers studio courses online? Check out the&nbsp;<a data-cke-saved-href="http://www.moma.org/learn/courses/online#self" href="http://www.moma.org/learn/courses/online#self">list</a>&nbsp;of offerings including online courses on collage and painting techniques.';
catalog['Discover how the role of the teacher is changing in blended-learning environments.  What parts of the job stay the same and what is different?  How does an organization support teachers in making the transition to blended learning?'] = 'Discover how the role of the teacher is changing in blended-learning environments.  What parts of the job stay the same and what is different?  How does an organization support teachers in making the transition to blended learning?';
catalog['Discover how your observable traits, or phenotypes, are the result of interactions between your genes and environment.'] = 'Discover how your observable traits, or phenotypes, are the result of interactions between your genes and environment.';
catalog['Discover the art of Chinese calligraphy.&nbsp;<a href="http://education.asianart.org/explore-resources/lesson-or-activity/interactive-digital-brushpainting">Try your hand at brushpainting</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'Discover the art of Chinese calligraphy.&nbsp;<a href="http://education.asianart.org/explore-resources/lesson-or-activity/interactive-digital-brushpainting">Try your hand at brushpainting</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['Discover what magic we can derive when we take a derivative, which is the slope of the tangent line at any point on a curve.'] = 'Entdecke welchen Zauber wir erhalten, wenn wir eine Ableitung machen, die die Steigung der Tangente an einem beliebigen Punkt auf einer Kurve ist.';
catalog['Discover why a high diversity of species sustains ecosystems, which in turn provide important services to humans.'] = 'Discover why a high diversity of species sustains ecosystems, which in turn provide important services to humans.';
catalog['Discoveries and projects'] = 'Entdeckungen und Projekte';
catalog['Discoveries leading to the Right Hand rule'] = 'Discoveries leading to the Right Hand rule';
catalog['Discoveries'] = 'Entdeckungen';
catalog['Discovering static electricity & electrostatic force. What is it? How can it be created, detected, and measured?'] = 'Discovering static electricity & electrostatic force. What is it? How can it be created, detected, and measured?';
catalog['Discovery Lab 2012'] = 'Discovery Lab 2013';
catalog['Discovery Lab 2013'] = 'Discovery Lab 2013';
catalog['Discovery of Magnetism'] = 'Die Entdeckung des Magnetismus';
catalog['Discovery of batteries'] = 'Discovery of batteries';
catalog['Discovery of electromagnetism'] = 'Entdeckung des Elektromagnetismus';
catalog['Discovery of magnetic fields'] = 'Discovery of magnetic fields';
catalog['Discovery of magnetism'] = 'Die Entdeckung des Magnetismus';
catalog['Discovery of resistors'] = 'Discovery of resistors';
catalog['Discovery of triboelectric effect'] = 'Discovery of triboelectric effect';
catalog['Discovery: Streambed'] = 'Entdeckung: Flussbett';
catalog['Discrete and continuous random variables'] = 'Diskrete und kontinuierliche Zufallsvariablen';
catalog['Discriminant for Types of Solutions for a Quadratic'] = 'Discriminant for Types of Solutions for a Quadratic';
catalog['Discriminant for types of solutions for a quadratic'] = 'Discriminant for types of solutions for a quadratic';
catalog['Discriminant of Quadratic Equations'] = 'Diskriminante der quadratischen Gleichungen';
catalog['Discriminant of quadratic equations'] = 'Diskriminante der quadratischen Gleichungen';
catalog['Discussion of how "normal" a distribution might be'] = 'Diskussion wie "normal" eine Verteilung sein kann';
catalog['Discussion of inflation, the CPI index and owners\' equivalent rent.'] = 'Discussion of inflation, the CPI index and owners\' equivalent rent.';
catalog['Discussion of the price-to-earnings ratio'] = 'Discussion of the price-to-earnings ratio';
catalog['Discussion of the relatively recent changes in our ability as a species to shine light on our deep past'] = 'Diskussion \u00fcber die relativ neuen \u00c4nderungen in unserer F\u00e4higkeit, als Spezies Licht in unsere tiefe Vergangenheit zu bringen';
catalog['Discussions of economic topics and how they relate to current events.'] = 'Diskussionen \u00fcber Wirtschaftsthemen und wie sie mit dem Tagesgeschehen in Verbindung stehen.';
catalog['Disk method around x-axis'] = 'Disk method around x-axis';
catalog['Disk method to find the volume of a solid generated by rotation of a function'] = 'Disk method to find the volume of a solid generated by rotation of a function';
catalog['Displacement from time and velocity example'] = 'Displacement from time and velocity example';
catalog['Displacement, velocity and time'] = 'Displacement, velocity and time';
catalog['Disproportionation'] = 'Disproportionation';
catalog['Distance and midpoint on the complex plane'] = 'Distance and midpoint on the complex plane';
catalog['Distance between a point and a line'] = 'Abstand zwischen einem Punkt und einer Geraden';
catalog['Distance between a point and a plane in three dimensions'] = 'Distance between a point and a plane in three dimensions';
catalog['Distance between home and school'] = 'Die L\u00e4nge des Schulweges';
catalog['Distance between planes'] = 'Abstand zwischen Ebenen';
catalog['Distance between point and line'] = 'Abstand zwischen Punkt und Linie';
catalog['Distance formula'] = 'Abstandsformel';
catalog['Distance in the metric system'] = 'Entfernung im metrischen System';
catalog['Distance, displacement, speed and velocity.  Difference between vectors and scalars'] = 'Abstand, Richtungsvektor, Geschwindigkeit und Geschwindigkeitsvektor. Der Unterschied zwischen Vektoren und Skalaren.';
catalog['Distances between points'] = 'Abst\u00e4nde zwischen Punkten';
catalog['Distinguish between LAIV (live, weakened) and TIV (dead) vaccines, and when each is appropriate to be used.  \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Distinguish between LAIV (live, weakened) and TIV (dead) vaccines, and when each is appropriate to be used.  \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Distribution warmup'] = 'Distribution warmup';
catalog['Distributive property example 1'] = 'Distributivgesetz Beispiel 1';
catalog['Distributive property exercise'] = 'Distributivgesetz - \u00dcbung';
catalog['Distributive property of matrix products'] = 'Distributive property of matrix products';
catalog['Distributive property with rational terms'] = 'Distributivgesetz mit rationalen Termen';
catalog['Distributive property'] = 'Distributivgesetz';
catalog['Divergence 1'] = 'Divergenz 1';
catalog['Divergence 2'] = 'Divergenz 2';
catalog['Divergence 3'] = 'Divergenz 3';
catalog['Divergence theorem (3D)'] = 'Divergenz-Theorem (3D)';
catalog['Divergence theorem example 1'] = 'Divergenzsatz Beispiel 1';
catalog['Divergence theorem intuition.  Divergence theorem examples and proofs.  Types of regions in 3D.'] = 'Divergenz Theorem: Intuitive Betrachtung.  Divergenz Theorem: Beispiele und Beweise.  Typen von Gebieten in 3D.';
catalog['Divergence theorem proof (part 1)'] = 'Beweis Divergenzsatz (Teil 1)';
catalog['Divergence theorem proof (part 2)'] = 'Beweis Divergenzsatz (Teil 2)';
catalog['Divergence theorem proof (part 3)'] = 'Beweis Divergenzsatz (Teil 3)';
catalog['Divergence theorem proof (part 4)'] = 'Beweis Divergenzsatz (Teil 4)';
catalog['Divergence theorem proof (part 5)'] = 'Beweis Divergenzsatz (Teil 5)';
catalog['Divergence theorem proof'] = 'Divergenz Theorem: Beweis';
catalog['Divergence theorem'] = 'Divergenz-Theorem';
catalog['Divergence'] = 'Divergenz';
catalog['Divergent improper integral'] = 'Divergent improper integral';
catalog['Diverse artists with a common dedication to innovation came to be discussed as the avant-garde. Subdivisions include Neoclassicism, Romanticism, Realism, Impressionism, Post-Impressionism, Symbolism, Expressionism, Cubism, Constructivism, Abstraction, Surrealism, Abstract Expressionism, Pop Art, performance art, and earth and environmental art. Many of these categories fall under the general heading of modernism.\n\n\u00a9 2013 The College Board'] = 'Diverse artists with a common dedication to innovation came to be discussed as the avant-garde. Subdivisions include Neoclassicism, Romanticism, Realism, Impressionism, Post-Impressionism, Symbolism, Expressionism, Cubism, Constructivism, Abstraction, Surrealism, Abstract Expressionism, Pop Art, performance art, and earth and environmental art. Many of these categories fall under the general heading of modernism.\n\n\u00a9 2013 The College Board';
catalog['Divide 3-digit and 4-digit numbers by a 2-digit number without remainders.'] = 'Teile 3-stellige und 4-stellige Zahlen durch 2-stellige Zahlen ohne Rest.';
catalog['Divide 3-digit or 4-digits by 1 digit, with remainder.'] = 'Dividiere 3-stellig or 4-stellig durch eine 1-stellige Zahl, mit Rest.';
catalog['Divide multi-digit numbers.'] = 'Dividiere mehrstellige Zahlen.';
catalog['Divided attention, selective attention, inattentional blindness, & change blindness'] = 'Divided attention, selective attention, inattentional blindness, & change blindness';
catalog['Dividing Complex Numbers'] = 'Komplexe Zahlen teilen';
catalog['Dividing Decimals'] = 'Dezimalzahlen teilen';
catalog['Dividing Fractions Word Problem'] = 'Division von Br\u00fcchen - Textaufgabe';
catalog['Dividing Fractions'] = 'Br\u00fcche dividieren';
catalog['Dividing Mixed Numbers and Fractions'] = 'Division von gemischten Zahlen und Br\u00fcchen';
catalog['Dividing Mixed Numbers'] = 'Gemischte Zahlen dividieren';
catalog['Dividing Monomials'] = 'Division von Monomen';
catalog['Dividing Whole Numbers and Applications 1'] = 'Ganze Zahlen dividieren und Anwendungen 1';
catalog['Dividing a Decimal by a Power of 10'] = 'Division einer Dezimalzahl durch eine Zehnerpotenz';
catalog['Dividing a decimal by a power of 10 (part 2)'] = 'Division einer Dezimalzahl durch eine Zehnerpotenz (Teil 2)';
catalog['Dividing a decimal by a power of 10'] = 'Division einer Dezimalzahl durch eine Zehnerpotenz';
catalog['Dividing a decimal by a whole number'] = 'Wie man ein Dezimalzahl durch eine Ganzzahl teilt';
catalog['Dividing a two digit number into a larger number'] = 'Division einer gr\u00f6\u00dferen Zahl durch eine zweistellige Zahl';
catalog['Dividing a whole number by a decimal'] = 'Wie man eine Ganzzahl durch eine Dezimalzahl teilt';
catalog['Dividing by 10'] = 'Division durch 10';
catalog['Dividing by 2'] = 'Division durch 2';
catalog['Dividing by 3'] = 'Division durch 3';
catalog['Dividing by 4'] = 'Division durch 4';
catalog['Dividing by 5'] = 'Division durch 5';
catalog['Dividing by 6'] = 'Division durch 6';
catalog['Dividing by 7'] = 'Division durch 7';
catalog['Dividing by 8'] = 'Division durch 8';
catalog['Dividing by 9'] = 'Division durch 9';
catalog['Dividing by a two digit number'] = 'Division durch eine zweistellige Zahl';
catalog['Dividing by two digits with no remainder'] = 'Division durch zweistellige Zahl ohne Rest';
catalog['Dividing completely to get decimal answer example 2'] = 'Vollst\u00e4ndiges Teilen um eine Dezimalzahl zu erhalten - Beispiel 2';
catalog['Dividing completely to get decimal answer'] = 'Vollst\u00e4ndige Division um eine dezimale Antwort zu erhalten';
catalog['Dividing completely'] = 'Vollst\u00e4ndiges dividieren';
catalog['Dividing complex numbers in polar and exponential form'] = 'Dividing complex numbers in polar and exponential form';
catalog['Dividing complex numbers'] = 'Division komplexer Zahlen';
catalog['Dividing decimal numbers'] = 'Dezimalzahlen dividieren';
catalog['Dividing decimal'] = 'Dezimalzahlen dividieren';
catalog['Dividing decimals 1'] = 'Dividieren von Dezimalzahlen 1';
catalog['Dividing decimals 2'] = 'Dividieren von Dezimalzahlen 2';
catalog['Dividing decimals 3'] = 'Dividieren von Dezimalzahlen 3';
catalog['Dividing decimals 4'] = 'Dividieren von Dezimalzahlen 4';
catalog['Dividing decimals with hundredths'] = 'Dividieren von Dezimalzahlen mit Hundertstel';
catalog['Dividing decimals'] = 'Dezimalzahlen teilen';
catalog['Dividing fractions by fractions and whole numbers applications'] = 'Division von Br\u00fcchen durch Br\u00fcche und ganzzahlige Anwendungen';
catalog['Dividing fractions by fractions'] = 'Br\u00fcche durch Br\u00fcche dividieren';
catalog['Dividing fractions by whole numbers'] = 'Dividieren von Br\u00fcchen durch ganze Zahlen';
catalog['Dividing fractions example'] = 'Division von Br\u00fcchen - Beispiel';
catalog['Dividing fractions'] = 'Br\u00fcche dividieren';
catalog['Dividing in scientific notation example'] = 'Division in wissenschaftlicher Schreibweise - Beispiel';
catalog['Dividing into larger numbers. Introduction to long division without remainders'] = 'Gro\u00dfe Zahlen teilen. Einf\u00fchrung in die Schriftliche Division ohne Rest';
catalog['Dividing line segments'] = 'Teilen von Liniensegmenten';
catalog['Dividing mixed numbers and fractions'] = 'Division von gemischten Zahlen und Br\u00fcchen';
catalog['Dividing mixed numbers'] = 'Division gemischter Zahlen';
catalog['Dividing monomials'] = 'Division von Monomen';
catalog['Dividing multivariable polynomial with monomial'] = 'Dividing multivariable polynomial with monomial';
catalog['Dividing polynomials 1'] = 'Division mit Polynomen';
catalog['Dividing polynomials by binomials 1'] = 'Polynome durch Binome dividieren 1';
catalog['Dividing polynomials by binomials 2'] = 'Polynome durch Binome dividieren 2';
catalog['Dividing polynomials by binomials 3'] = 'Polynome durch Binome dividieren 3';
catalog['Dividing polynomials with remainders example'] = 'Division von Polynomen mit Rest - Beispiel';
catalog['Dividing polynomials with remainders'] = 'Polynome mit Rest dividieren';
catalog['Dividing polynomials'] = 'Division mit Polynomen';
catalog['Dividing positive and negative fractions'] = 'Positive und negative Br\u00fcche teilen';
catalog['Dividing positive and negative numbers'] = 'positive und negative Zahlen dividieren';
catalog['Dividing positive fractions with simplification'] = 'Division positiver Br\u00fcche mit Vereinfachung';
catalog['Dividing positive fractions'] = 'Positive Br\u00fcche dividieren';
catalog['Dividing whole numbers and decimals'] = 'Ganze Zahlen und Dezimalzahlen dividieren';
catalog['Dividing whole numbers and fractions'] = 'Dividieren von ganzen Zahlen und Br\u00fcchen';
catalog['Dividing whole numbers by fractions'] = 'Dividieren von ganzen Zahlen durch Br\u00fcche';
catalog['Divisibility 0.5'] = 'Teilbarkeit 0.5';
catalog['Divisibility and factors'] = 'Teilbarkeit und Faktoren';
catalog['Divisibility intuition'] = 'Intuitives Teilen';
catalog['Divisibility tests for 2, 3, 4, 5, 6, 9, 10'] = 'Teilbarkeits-Tests f\u00fcr 2, 3, 4, 5, 6, 9, 10';
catalog['Divisibility tests'] = 'Testen der Teilbarkeit';
catalog['Divisibility'] = 'Teilbarkeit';
catalog['Division 1'] = 'Division 1';
catalog['Division by 2 digits'] = 'Division durch zweistellige Zahlen';
catalog['Division with fractions and whole numbers word problems'] = 'Division mit Bruchzahlen und ganze Zahlen - Textaufgaben';
catalog['Division with remainders'] = 'Division mit Rest';
catalog['Division word problem example 1'] = 'Division - Textaufgabe Beispiel 1';
catalog['Division'] = 'Division';
catalog['Dix, Portrait of the Journalist Sylvia von Harden'] = 'Dix, Portrait of the Journalist Sylvia von Harden';
catalog['Django admin'] = 'Django admin';
catalog['Do not watch before Blue Forehead Room.  THIS IS THE SOLUTION!'] = 'Nicht vor Blaue-Stirn-Raum anschauen.  DIES IST DIE L\u00d6SUNG!';
catalog['Do the angles in a triangle always add up to the same thing?  Would I ask it if they didn\'t?  What do we know about the angles of a triangle if two of the sides are congruent (an isosceles triangle) or all three are congruent (an equilateral)?  This tutorial is the place to find out.'] = 'Ist die Summe der Winkel in einem Dreieck immer das gleiche?  W\u00fcrde ich fragen, wenn es nicht so w\u00e4re? Was wei\u00df man \u00fcber die Winkel in einem Dreieck, das zwei kongruente Seiten hat (ein gleichschenkliges Dreieck) oder bei dem alle drei Seiten kongruent sind (ein gleichseitiges)? In diesem Tutorial findest du es heraus.';
catalog['Do the angles in a triangle always add up to the same thing?  Would I ask it if they didn\'t?  What do we know about the angles of a triangle if two of the sides are congruent (an isosceles triangle) or all three are congruent (an equilateral)?  This tutorial is the place to find out.\n\nCommon Core Standard: 8.G.A.5'] = 'Ist die Summe der WInkel in einem Dreieck immer die gleiche? W\u00fcrde ich fragen, wenn es nicht so w\u00e4re? Was wissen wir \u00fcber die Winkel eines Dreiecks, wenn beide Seiten deckungsgleich sind (ein gleichschenkliges Dreieck) oder alle drei deckungsgleich sind (ein gleichseitiges Dreieck)? In diesem Tutorial findest du es heraus.\n\nBasis Allgemeinwissen: 8.G.A.5';
catalog['Do the laws of physics and mathematics apply to everything in the Universe? Janna Levin explains astrophysics.'] = 'Do the laws of physics and mathematics apply to everything in the Universe? Janna Levin explains astrophysics.';
catalog['Do the laws of physics and mathematics apply to everything in the Universe? Janna Levin explains astrophysics.<br>'] = 'Do the laws of physics and mathematics apply to everything in the Universe? Janna Levin explains astrophysics.<br>';
catalog['Do we know who we really are? What parts of our mind do we know and what parts are hidden from us? Should art only focus on the rational, the conscious, or should we also pay attention to the irrational, the uncanny, the powerful impulses that remain unarticulated and just beyond the reach of our awareness. Dada was born during WWI when poets, artists, and actors, sickened by the violence around them, chose to celebrate the irrational. They created an anti-art that challenged the cultural assumptions that they felt supported the ruling elite that had, in turn, caused the war. In the years after the war, Dada gave way to Surrealism which reinstituted traditional forms of art-making but focused on Freud\u2019s theories of the unconscious.'] = 'Do we know who we really are? What parts of our mind do we know and what parts are hidden from us? Should art only focus on the rational, the conscious, or should we also pay attention to the irrational, the uncanny, the powerful impulses that remain unarticulated and just beyond the reach of our awareness. Dada was born during WWI when poets, artists, and actors, sickened by the violence around them, chose to celebrate the irrational. They created an anti-art that challenged the cultural assumptions that they felt supported the ruling elite that had, in turn, caused the war. In the years after the war, Dada gave way to Surrealism which reinstituted traditional forms of art-making but focused on Freud\u2019s theories of the unconscious.';
catalog['Do we need kings?  Can people govern themselves?  What rights do we all have?  Can science and understanding uplift all of humanity?\n\nThis topic lays the foundation for our modern thinking about the world.  From democratic revolutions to the establishment of empires backed by industrial power.'] = 'Brauchen wir K\u00f6nige? K\u00f6nnen Leute sich nicht selbst regieren? Welche Rechte haben wir? Kann die Wissenschaft die Lebensqualit\u00e4t der Menschen verbessern?\n\nDiese Themenreihe legt den Grundstein f\u00fcr unser modernes Verst\u00e4ndnis der Welt. Von demokratischen Revolutionen bis hin zur Gr\u00fcndung von Imperien die durch ihre industrielle Kraft gesichert waren.';
catalog['Do you have any other questions or suggestions for us?'] = 'Do you have any other questions or suggestions for us?';
catalog['Do you remember the basics of acid/base chemistry? In this tutorial, Jay reminds you of a few definitions, shows you how the stability of the conjugate base affects the acidity of the molecule, and demonstrates the importance of pKa values.'] = 'Erinnerst du dich an die Grundlagen der S\u00e4ure/Base-Chemie? In diesem Lernprogramm erinnert dich Jay an ein paar Definitionen, zeigt dir, wie die Stabilit\u00e4t der konjugierte Base die S\u00e4ure des Molek\u00fcls auswirkt und zeigt die Bedeutung der pKa-Werte.';
catalog['Do you speak the language of organic chemistry?  In this tutorial, Jay shows you how to be fluent in naming alkanes, cycloalkanes, and bicyclic compounds.'] = 'Sprichst du die Sprache der organischen Chemie?  In diesem Tutorial zeigt Jay, wie flie\u00dfend die Benennung der Alkane, Cycloalkane und bicyclische Verbindungen geht.';
catalog['Do you think that the math exams that you have to take are hard?  Well, if you have the stomach, try the problem(s) in this tutorial.  They are not only conceptually difficult, but they are also hairy.\n\nDon\'t worry if you have trouble with this.  Most of us would.  The IIT JEE is an exam administered to 200,000 students every year in India to select which 2000 go to the competitive IITs.  They need to make sure that most of the students can\'t do most of the problems so that they can really whittle the applicants down.'] = 'Glaubst du, dass die Mathe-Pr\u00fcfungen, die du machen musst, schwer sind?  Wenn du die Nerven dazu hast, dann versuch einmal die Probleme in diesem Tutorial.  Sie sind nicht nur begrifflich schwierig, aber sie sind auch haarig.\n\nKeine Sorgen, wenn du Probleme damit hast.  Die meisten von uns h\u00e4tten welche.  Die IIT JEE ist eine Pr\u00fcfung, die f\u00fcr 200.000 Studenten jedes Jahr in Indien abgehalten wird, um auszuw\u00e4hlen, welche 2000 zu den konkurrenzbetonten IITs gehen.  Sie m\u00fcssen sicherstellen, dass die meisten Sch\u00fcler die meisten Probleme nicht l\u00f6sen k\u00f6nnen. Nur so k\u00f6nnen sie die BewerberInnen aussieben.';
catalog['Do you want 2/3 or 4/6 of this pizza?  Doesn\'t matter because they are both the same fraction.  This tutorial will help us explore this idea by really visualizing what equivalent fractions represent.'] = 'M\u00f6chtest du lieber 2/3 oder 4/6 dieser Pizza? Es spielt keine Rolle, da beide Schreibweisen den gleichen Bruch darstellen. Dieses Tutorial wird uns helfen dies zu verstehen, indem wir visualisieren was gleichwertige Br\u00fcche repr\u00e4sentieren.';
catalog['Do you want 2/3 or 4/6 of this pizza? Doesn\'t matter because they are both the same fraction. This tutorial will help us explore this idea by really visualizing what equivalent fractions represent.\n\nCommon Core Standard: 4.NF.A.1\t'] = 'M\u00f6chtest Du 2/3 oder 4/6 von dieser Pizza? Das spielt keine Rolle, weil das beides der gleiche Bruch ist. Dieses Tutorial hilft uns, diese Idee zu erforschen, indem wir wirklich veranschaulichen, was \u00e4quivalente Br\u00fcche darstellen.\n\nCommon Core Standard: 4.NF.A.1\t';
catalog['Does the direction which we stroke the needle determine the final orientation?'] = 'Does the direction which we stroke the needle determine the final orientation?';
catalog['Does the distance between the copper and zinc electrodes matter? What happens to the deflection when we hold them close vs. far apart? Why is there a difference?'] = 'Does the distance between the copper and zinc electrodes matter? What happens to the deflection when we hold them close vs. far apart? Why is there a difference?';
catalog['Dogs cats and bears in a pet store analytic argument'] = 'Hunde, Katzen und B\u00e4ren in einem Tiergesch\u00e4ft - Analytisches Argument';
catalog['Dogs cats and bears in a pet store visual argument'] = 'Hunde, Katzen und B\u00e4ren in einer Zoohandlung';
catalog['Doing a few more involved examples of simplifying expressions'] = 'Noch ein paar Beispiele zum Vereinfachen von Ausdr\u00fccken';
catalog['Doing both proofs in the same video to clarify any misconceptions that the original proof was "circular".'] = 'Beide Beweise in einem Video, um das die Unklarheit zu beseitigen, der Originalbeweis sei zyklisch.';
catalog['Doing some hairy algebra and arithmetic to evaluate the definite integral from the last video'] = 'Einige haarige Algebra und Arithmetik, um das bestimmte Integral aus dem letzten Video auszuwerten';
catalog['Doing the example with accounts payable growing'] = 'Doing the example with accounts payable growing';
catalog['Doing u-substitution twice (second time with w)'] = '2-fache u-Substitution (das zweite Mal mit w)';
catalog['Doing u-substitution with ln(x)'] = 'u-Substitution mit ln(x)';
catalog['Domain and Range 1'] = 'Definitionsbereich und Bildbereich 1';
catalog['Domain and Range 2'] = 'Definitionsbereich und Bildbereich 2';
catalog['Domain and Range of a Function Given a Formula'] = 'Definitions- und Wertebereich einer Funktion anhand einer Formel';
catalog['Domain and Range of a Relation'] = 'Definitions- und Wertebereich einer Relation';
catalog['Domain and range 1'] = 'Definitions- und Wertebereich 1';
catalog['Domain and range 2'] = 'Definitions- und Wertebereich 2';
catalog['Domain and range from graph'] = 'Definitions- und Wertebereich von Graphen';
catalog['Domain and range from graphs'] = 'Definitions- und Wertebereich von Graphen';
catalog['Domain and range of a function given a formula'] = 'Definitions- und Wertebereich einer Funktion anhand einer Formel';
catalog['Domain and range of a function'] = 'Definitions- und Wertebereich einer Funktion';
catalog['Domain and range of a relation'] = 'Definitions- und Wertebereich einer Relation';
catalog['Domain and range'] = 'Definitionsbereich und Wertemenge';
catalog['Domain of a Radical Function'] = 'Definitionsbereich einer radikalen Funktion';
catalog['Domain of a function'] = 'Definitionsbereich einer Funktion';
catalog['Domain of a radical function'] = 'Definitionsbereich einer Wurzelfunktion';
catalog['Domenico Veneziano, Saint Lucy Altarpiece, 1445-47, tempera on wood panel, 82 1/4 x 85&quot; or 209 x 216 cm (Galleria degli Uffizi, Florence) Speakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Domenico Veneziano, Saint Lucy Altarpiece, 1445-47, tempera on wood panel, 82 1/4 x 85&quot; or 209 x 216 cm (Galleria degli Uffizi, Florence) Speakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Don\'t let a flexigatastrophe happen to you! Happy Hexaflexagon Month, in honor of Martin Gardner. Yes, we\'ve been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on Oct. 21, but be sure to flex responsibly.This is my third hexaflexagon video this month. The first two are also awesome.Hexaflexagons: http://youtu.be/VIVIegSt81k Hexaflexagons 2: http://youtu.be/paQ10POrZh8To learn more about flexagons, Martin Gardner, or hosting a hexaflexagon party, go here: http://www.puzzles.com/hexaflexagonI stole the "hexaflexadyslexia" joke from @matthetube: https://twitter.com/matthetube/status/255446894128529408I\'m @vihartvihart. Happy Flexing!'] = 'Don\'t let a flexigatastrophe happen to you! Happy Hexaflexagon Month, in honor of Martin Gardner. Yes, we\'ve been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on Oct. 21, but be sure to flex responsibly.This is my third hexaflexagon video this month. The first two are also awesome.Hexaflexagons: http://youtu.be/VIVIegSt81k Hexaflexagons 2: http://youtu.be/paQ10POrZh8To learn more about flexagons, Martin Gardner, or hosting a hexaflexagon party, go here: http://www.puzzles.com/hexaflexagonI stole the "hexaflexadyslexia" joke from @matthetube: https://twitter.com/matthetube/status/255446894128529408I\'m @vihartvihart. Happy Flexing!';
catalog['Donald Judd, Untitled'] = 'Donald Judd, Untitled';
catalog['Donald Judd, Untitled, 1969, ten copper units, each 9 x 40 x 31 \ninches with 9 inch intervals (Guggenheim Museum, New York)\n\nSpeakers: Dr. Shana Gallagher-Lindsay,  Dr. Beth Harris'] = 'Donald Judd, Untitled, 1969, ten copper units, each 9 x 40 x 31 \ninches with 9 inch intervals (Guggenheim Museum, New York)\n\nSpeakers: Dr. Shana Gallagher-Lindsay,  Dr. Beth Harris';
catalog['Donatello, David'] = 'Donatello, David';
catalog['Donatello, David, bronze, late 1420s to the 1460s, Likey the 1440s (Museo Nazionale del Bargello, Florence) \n\nhttp://smarthistory.khanacademy.org/Donatello.html'] = 'Donatello, David, bronze, late 1420s to the 1460s, Likey the 1440s (Museo Nazionale del Bargello, Florence) \n\nhttp://smarthistory.khanacademy.org/Donatello.html';
catalog['Donatello, Equestrian Monument of Gattamelata (Erasmo da Narni), 1445-53, bronze, 12 feet, 2 inches high, Piazza del Santo, Padua\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Donatello, Equestrian Monument of Gattamelata (Erasmo da Narni), 1445-53, bronze, 12 feet, 2 inches high, Piazza del Santo, Padua\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Donatello, Equestrian Monument of Gattamelata'] = 'Donatello, Equestrian Monument of Gattamelata';
catalog['Donatello, Feast of Herod'] = 'Donatello, Feast of Herod';
catalog['Donatello, Feast of Herod, panel on the baptismal font of Siena Cathedral, Siena, Italy, Gilded bronze,1423--1427.'] = 'Donatello, Feast of Herod, panel on the baptismal font of Siena Cathedral, Siena, Italy, Gilded bronze,1423--1427.';
catalog['Donatello, Madonna of the Clouds'] = 'Donatello, Madonna of the Clouds';
catalog['Donatello, Madonna of the Clouds, c. 1425--35,  marble, 33.1 x 32 cm / 13 1/16 x 12 5/8 inches (Museum of Fine Arts, Boston)'] = 'Donatello, Madonna of the Clouds, c. 1425--35,  marble, 33.1 x 32 cm / 13 1/16 x 12 5/8 inches (Museum of Fine Arts, Boston)';
catalog['Donatello, Mary Magdalene, c. 1455'] = 'Donatello, Mary Magdalene, c. 1455';
catalog['Donatello, Mary Magdalene, c. 1455, wood, 188 cm (Museo dell\'Opera del Duomo, Florence)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris'] = 'Donatello, Mary Magdalene, c. 1455, wood, 188 cm (Museo dell\'Opera del Duomo, Florence)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris';
catalog['Donatello, Saint Mark'] = 'Donatello, Saint Mark';
catalog['Donatello, St. Mark, 1411-13, marble, 93" (236 cm), Orsanmichele, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Donatello, St. Mark, 1411-13, marble, 93" (236 cm), Orsanmichele, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Donato Bramante, Tempietto, c. 1502, San Pietro in Montorio, Rome'] = 'Donato Bramante, Tempietto, c. 1502, San Pietro in Montorio, Rome';
catalog['Doodle music'] = 'Doodle music';
catalog['Doodling in Math and more'] = 'Kritzeleien in Mathematik und mehr';
catalog['Doodling in Math'] = 'Mathematische Kritzeleien';
catalog['Doodling in math'] = 'Mathematische Kritzelei';
catalog['Doodling in math: Binary trees'] = 'Doodling in math: Binary trees';
catalog['Doodling in math: Connecting dots'] = 'Doodling in math: Connecting dots';
catalog['Doodling in math: Dragon dungeons'] = 'Doodling in math: Dragon dungeons';
catalog['Doodling in math: Dragon scales'] = 'Doodling in math: Dragon scales';
catalog['Doodling in math: Dragons'] = 'Doodling in math: Dragons';
catalog['Doodling in math: Infinity elephants'] = 'Kritzelei in Mathe: Unendlichkeits-Elefanten';
catalog['Doodling in math: Sick number games'] = 'Doodling in math: Sick number games';
catalog['Doodling in math: Snakes and graphs'] = 'Doodling in math: Snakes and graphs';
catalog['Doodling in math: Spirals, Fibonacci, and being a plant [1 of 3]'] = 'Kritzeln in Mathe: Spiralen, Fibonacci und Pflanzen [1 von 3]';
catalog['Doodling in math: Spirals, Fibonacci, and being a plant [2 of 3]'] = 'Doodling in math: Spirals, Fibonacci, and being a plant [2 of 3]';
catalog['Doodling in math: Spirals, Fibonacci, and being a plant [3 of 3]'] = 'Doodling in math: Spirals, Fibonacci, and being a plant [3 of 3]';
catalog['Doodling in math: Squiggle inception'] = 'Doodling in math: Squiggle inception';
catalog['Doodling in math: Stars'] = 'Doodling in math: Stars';
catalog['Doodling in math: Triangle party'] = 'Doodling in math: Triangle party';
catalog['Doppler effect formula for observed frequency'] = 'Doppler effect formula for observed frequency';
catalog['Doppler effect formula when source is moving away'] = 'Doppler effect formula when source is moving away';
catalog['Dorothea Lange\'s documentary photographs'] = 'Dorothea Lange\'s documentary photographs';
catalog['Dorothea Lange\'s images of migrant farmers and the unemployed have become universally recognized symbols of the Great Depression. Hear Lange discuss her projects and subjects. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>'] = 'Dorothea Lange\'s images of migrant farmers and the unemployed have become universally recognized symbols of the Great Depression. Hear Lange discuss her projects and subjects. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>';
catalog['Dorothea Rockburne: Drawing Which Makes Itself'] = 'Dorothea Rockburne: Drawing Which Makes Itself';
catalog['Dot and Cross Product Comparison/Intuition'] = 'Dot and Cross Product Comparison/Intuition';
catalog['Dot and cross product comparison/intuition'] = 'Dot and cross product comparison/intuition';
catalog['Dot structures I: Single bonds'] = 'Dot structures I: Single bonds';
catalog['Dot structures II: Multiple bonds'] = 'Dot structures II: Multiple bonds';
catalog['Dot structures'] = 'Dot structures';
catalog['Dot vs. cross product'] = 'Dot vs. cross product';
catalog['Double Bohr effect'] = 'Double Bohr effect';
catalog['Double Newman diagram for methylcyclohexane'] = 'Double Newman diagram for methylcyclohexane';
catalog['Double and triple integrals'] = 'Doppel- und Dreifach-Integrale';
catalog['Double angle formula for cosine example'] = 'Double angle formula for cosine example';
catalog['Double integral 1'] = 'Doppelintegrale 1';
catalog['Double integrals 2'] = 'Double integrals 2';
catalog['Double integrals 3'] = 'Double integrals 3';
catalog['Double integrals 4'] = 'Double integrals 4';
catalog['Double integrals 5'] = 'Double integrals 5';
catalog['Double integrals 6'] = 'Double integrals 6';
catalog['Double integrals'] = 'Zweifach-integrale';
catalog['Dowload and delete videos on this KA Lite installation.'] = 'Dowload and delete videos on this KA Lite installation.';
catalog['Download Videos'] = 'Videos runterladen';
catalog['Download and practice with a real, full-length SAT provided by the College Board.'] = 'Download and practice with a real, full-length SAT provided by the College Board.';
catalog['Download and take a real, full-length practice test. Watch videos showing step-by-step solutions to problems you missed or found challenging, and get even more practice with unreleased questions from real SATs provided by College Board. \n\nAfter all that practice, it wouldn\'t hurt to take the full-length test again so you can get used to the feeling of answering all of the questions correctly. Rock on!'] = 'Download and take a real, full-length practice test. Watch videos showing step-by-step solutions to problems you missed or found challenging, and get even more practice with unreleased questions from real SATs provided by College Board. \n\nAfter all that practice, it wouldn\'t hurt to take the full-length test again so you can get used to the feeling of answering all of the questions correctly. Rock on!';
catalog['Download and update'] = 'Download and update';
catalog['Download data from Khan Academy'] = 'Download data from Khan Academy';
catalog['Download or Update Language Packs'] = 'Download or Update Language Packs';
catalog['Download the teacher resources from the Big History Project classroom version of this course. Text captions for videos are also available.'] = 'Download the teacher resources from the Big History Project classroom version of this course. Text captions for videos are also available.';
catalog['Download'] = 'Download';
catalog['Downloaded %(num_handled_videos)s of %(num_total_videos)s videos successfully.'] = 'Downloaded %(num_handled_videos)s of %(num_total_videos)s videos successfully.';
catalog['Downloading \'%s\''] = 'Downloading \'%s\'';
catalog['Dr. Abraham Verghese explains the ritual of the bedside exam'] = 'Dr. Abraham Verghese explains the ritual of the bedside exam';
catalog['Dr. Andy Connolly from Stanford Medical School introduces Sal to what normal colon tissue looks like'] = 'Dr. Andy Connolly from Stanford Medical School introduces Sal to what normal colon tissue looks like';
catalog['Dr. Andy Connolly from Stanford Medical School shows Sal what hyperplasia in colon tissue looks like'] = 'Dr. Andy Connolly from Stanford Medical School shows Sal what hyperplasia in colon tissue looks like';
catalog['Dr. Andy Connolly of Stanford Medical School shows us what cancerous colon tissue looks like'] = 'Dr. Andy Connolly of Stanford Medical School shows us what cancerous colon tissue looks like';
catalog['Dr. Andy Connolly shows Sal what cancerous colon tissue looks like'] = 'Dr. Andy Connolly shows Sal what cancerous colon tissue looks like';
catalog['Dr. Charles Prober discusses prudent prescribing of antibiotics in the context of bacterial meningitis with 4th year medical student Morgan Theis'] = 'Dr. Charles Prober discusses prudent prescribing of antibiotics in the context of bacterial meningitis with 4th year medical student Morgan Theis';
catalog['Dr. David Agus discusses thinking systemically about cancer and other things'] = 'Dr. David Agus discusses thinking systemically about cancer and other things';
catalog['Dr. David Agus talks about inflammation (while Sal repeatedly misspells it with one "m")'] = 'Dr. David Agus talks about inflammation (while Sal repeatedly misspells it with one "m")';
catalog['Dr. Lauwrence Baker talks to Sal about how drug prices are set'] = 'Dr. Lauwrence Baker talks to Sal about how drug prices are set';
catalog['Dr. Mahadevan from Stanford School of Medicine explains adequacy for lateral cervical (neck) x-rays'] = 'Dr. Mahadevan from Stanford School of Medicine explains adequacy for lateral cervical (neck) x-rays';
catalog['Dr. Mahadevan of Stanford Medical School shows Sal what misalignment in the neck could look like in an X-ray'] = 'Dr. Mahadevan of Stanford Medical School shows Sal what misalignment in the neck could look like in an X-ray';
catalog['Drawing a pressure-volume loop'] = 'Drawing a pressure-volume loop';
catalog['Drawing acute, right and obtuse angles'] = 'Zeichnen von spitzen, rechten und stumpfen Winkeln';
catalog['Drawing angles'] = 'Zeichnen von Winkeln';
catalog['Drawing basics'] = 'Grundlagen: Zeichnen';
catalog['Drawing dot structures'] = 'Drawing dot structures';
catalog['Drawing lines exercise example'] = '\u00dcbung zum Zeichnen von Linien';
catalog['Drawing lines'] = 'Geraden zeichnen';
catalog['Drawing polygons'] = 'Zeichnen von Polygonen';
catalog['Drawing right, acute, and obtuse angles'] = 'Zeichnen von rechten, spitzen und stumpfen Winkeln';
catalog['Drawings'] = 'Zeichnungen';
catalog['Dreaming'] = 'Dreaming';
catalog['Driving the process of innovation'] = 'Driving the process of innovation';
catalog['Drug-resistant TB'] = 'Drug-resistant TB';
catalog['Dry Ice Experiment'] = 'Trockeneis Experiment';
catalog['Duccio di Buoninsegna, Madonna and Child, tempera and gold on panel, c. 1300\n(Metropolitan Museum of Art)\n\nSpeakers: David Drogin and Beth Harris\n\nFor more videos, visit www.smarthistory.org\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris'] = 'Duccio di Buoninsegna, Madonna and Child, tempera and gold on panel, c. 1300\n(Metropolitan Museum of Art)\n\nSpeakers: David Drogin and Beth Harris\n\nFor more videos, visit www.smarthistory.org\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris';
catalog['Duccio di Buoninsegna, The Virgin and Child with Saints Dominic and Aurea, c. 1315, tempera on wood, 42.5 x 34.5 cm (National Gallery, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Duccio di Buoninsegna, The Virgin and Child with Saints Dominic and Aurea, c. 1315, tempera on wood, 42.5 x 34.5 cm (National Gallery, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Duccio, Madonna and Child'] = 'Duccio, Madonna and Child';
catalog['Duccio, Maesta (back)'] = 'Duccio, Maesta (back)';
catalog['Duccio, Maesta (back), 1308-11 (Museo dell\'Opera Metropolitana del Duomo, Siena)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Duccio, Maesta (back), 1308-11 (Museo dell\'Opera Metropolitana del Duomo, Siena)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Duccio, Maesta (front)'] = 'Duccio, Maesta (front)';
catalog['Duccio, Maesta (front), 1308-11 (Museo dell\'Opera Metropolitana del Duomo, Siena)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Duccio, Maesta (front), 1308-11 (Museo dell\'Opera Metropolitana del Duomo, Siena)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Duccio, The Rucellai Madonna, 1285-86'] = 'Duccio, The Rucellai Madonna, 1285-86';
catalog['Duccio, The Rucellai Madonna, 1285-86, tempera on panel, 177 x 114" or 450 x 290 cm (Uffizi, Florence)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Duccio, The Rucellai Madonna, 1285-86, tempera on panel, 177 x 114" or 450 x 290 cm (Uffizi, Florence)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Duccio, The Virgin and Child with Saints Dominic and Aurea'] = 'Duccio, The Virgin and Child with Saints Dominic and Aurea';
catalog['Duchamp, Boite-en-valise (the red box), series F'] = 'Duchamp, Boite-en-valise (the red box), series F';
catalog['Duchamp, Fountain'] = 'Duchamp, Fountain';
catalog['Duchamp-Villon, Horse'] = 'Duchamp-Villon, Horse';
catalog['Duplicate row determinant'] = 'Duplicate row determinant';
catalog['Duration of each login session.'] = 'Duration of each login session.';
catalog['During the 1700s, French furniture makers perfected the art of "painting in wood," creating complex designs using natural and dyed veneers selected for color and grain. Watch marquetry being made. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'During the 1700s, French furniture makers perfected the art of "painting in wood," creating complex designs using natural and dyed veneers selected for color and grain. Watch marquetry being made. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Dyce\'s Pegwell Bay, Kent - a Recollection of October 5th, 1858'] = 'Dyce\'s Pegwell Bay, Kent - a Recollection of October 5th, 1858';
catalog['Dying Gaul, ancient Roman marble copy of a lost bronze Greek sculpture, c. 220 B.C.E., Hellenistic Period  (Capitoline Museum). Speakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Dying Gaul, ancient Roman marble copy of a lost bronze Greek sculpture, c. 220 B.C.E., Hellenistic Period  (Capitoline Museum). Speakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['E-mail address:'] = 'E-Mail-Adresse:';
catalog['E1 and E2 reactions'] = 'E1 and E2 reactions';
catalog['E1 elimination: Carbocation rearrangements'] = 'E1 elimination: Carbocation rearrangements';
catalog['E1 elimination: Mechanism'] = 'E1-Eliminierung: Mechanismus';
catalog['E1 elimination: Regioselectivity and stereoselectivity'] = 'E1 elimination: Regioselectivity and stereoselectivity';
catalog['E2 elimination: Mechanism'] = 'E2 elimination: Mechanism';
catalog['E2 elimination: Regioselectivity'] = 'E2 elimination: Regioselectivity';
catalog['E2 elimination: Stereoselectivity'] = 'E2 elimination: Stereoselectivity';
catalog['E2 elimination: Stereospecificity'] = 'E2 elimination: Stereospecificity';
catalog['E2 elimination: Substituted cyclohexanes'] = 'E2 elimination: Substituted cyclohexanes';
catalog['EBITDA'] = 'Ergebnis vor Zinsen, Steuern, Abschreibungen auf Sachanlagen und Abschreibungen auf immaterielle Verm\u00f6gensgegenst\u00e4nde (EBITDA)';
catalog['ED SESSION III with Sal Khan - Reactions in Idaho'] = 'ED SESSION III mit Sal Khan - Reaktionen in Idaho';
catalog['Each color you see comes from the pencil blocking one of the lights and the other two filling in the shadow.'] = 'Each color you see comes from the pencil blocking one of the lights and the other two filling in the shadow.';
catalog['Early Christian'] = 'Early Christian';
catalog['Early Classical: Charioteer of Delphi'] = 'Early Classical: Charioteer of Delphi';
catalog['Early Classical: Doryphoros (Spear Bearer)'] = 'Early Classical: Doryphoros (Spear Bearer)';
catalog['Early Europe and Colonial Americas 200-1750 C.E. '] = 'Early Europe and Colonial Americas 200-1750 C.E. ';
catalog['Early Europe and colonial Americas 200-1750 C.E.'] = 'Early Europe and colonial Americas 200-1750 C.E.';
catalog['Early Humans'] = 'Early Humans';
catalog['Early Medieval art'] = 'Early Medieval art';
catalog['Early Show'] = 'Morgen-Show';
catalog['Early humans had pretty small social networks. At most, they probably met only a couple hundred people who probably all lived very similar lives to their own. As people started farming, these networks got larger. People were increasingly specialized in their work and trade. Populations in cities got larger. Trade reached across longer distances, bringing together people with very different lives and ways of thinking.'] = 'Early humans had pretty small social networks. At most, they probably met only a couple hundred people who probably all lived very similar lives to their own. As people started farming, these networks got larger. People were increasingly specialized in their work and trade. Populations in cities got larger. Trade reached across longer distances, bringing together people with very different lives and ways of thinking.';
catalog['Early math'] = 'Fr\u00fche Mathematik';
catalog['Early photography: making daguerreotypes'] = 'Early photography: making daguerreotypes';
catalog['Early train word problem'] = 'Fr\u00fche Zug-Textaufgabe';
catalog['Earnings and EPS'] = 'Earnings and EPS';
catalog['Earnings, EPS (earnings per share) and how they relate to the income statement and balance sheet'] = 'Earnings, EPS (earnings per share) and how they relate to the income statement and balance sheet';
catalog['Earth formation'] = 'Earth formation';
catalog['Earth formed from the leftovers of the Sun accumulating over time. Despite its violent and unstable beginning, Earth slowly (very, very slowly) became the world we know today.'] = 'Earth formed from the leftovers of the Sun accumulating over time. Despite its violent and unstable beginning, Earth slowly (very, very slowly) became the world we know today.';
catalog['Earth geological and climatic history'] = 'Geologische und klimatische Erdgeschichte';
catalog['Earth is over 4.5 billion years old.  How do we know this?  When did life first emerge?  \n\nFrom the dawn of Earth as a planet to the first primitive life forms to our "modern" species, this tutorial is an epic journey of the history of life on Earth.'] = 'Die Erde ist \u00fcber 4,5 Milliarden Jahre alt. Woher wissen wir das? Wann entstand das Leben? \n\nVon den Anf\u00e4ngen der Erde als Planet \u00fcber die ersten primitiven Lebensformen bis hin zu unseren \'modernen\' Formen, dieses Tutorial ist eine epische Reise durch die Geschichte des Lebens unseres Planeten.';
catalog['Earth\'s 4.6 billion-year history has distinct periods. Geologists use evidence in rock record to classify these.<br>'] = 'Earth\'s 4.6 billion-year history has distinct periods. Geologists use evidence in rock record to classify these.<br>';
catalog['Earth\'s Tilt 1: The Reason for the Seasons'] = 'Earth\'s Tilt 1: The Reason for the Seasons';
catalog['Earth\'s Tilt 2: Land of the Midnight Sun'] = 'Earth\'s Tilt 2: Land of the Midnight Sun';
catalog['Earth\'s magnetic field (how to measure)'] = 'Earth\'s magnetic field (how to measure)';
catalog['Earth\'s rotation and tilt'] = 'Erdrotation und Neigung der Erdachse';
catalog['East and West Pediments from the Temple of Aphaia, Aegina, Archaic/Early Classical Periods, c. 490-480 B.C.E. (Glyptothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'East and West Pediments from the Temple of Aphaia, Aegina, Archaic/Early Classical Periods, c. 490-480 B.C.E. (Glyptothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Eastern and Western fronts of World War I'] = 'Eastern and Western fronts of World War I';
catalog['Ecological succession: Change is good'] = 'Sukzession: Ver\u00e4nderungen sind gut';
catalog['Ecology - Rules for living on earth'] = '\u00d6kologie - Regeln f\u00fcr das Leben auf der Erde';
catalog['Economic growth through investment'] = 'Economic growth through investment';
catalog['Economic profit and accounting profit are two different things (the difference being that economic profit takes into account opportunity cost).  Confused?  This tutorial lays it all out with the example of a restaurant.'] = '\u00d6konomischer Gewinn und buchhalterischer Gewinn sind zwei verschiedene Dinge (der Unterschied liegt darin, dass \u00f6konomischer Gewinn Opportunit\u00e4tskosten miteinbezieht). Verwirrt? Dieses Tutorial erkl\u00e4rt das alles beispielhaft anhand eines Restaurants.';
catalog['Economic profit and opportunity cost'] = '\u00d6konomischer Gewinnt und Opportunit\u00e4tskosten';
catalog['Economic profit vs accounting profit'] = 'Economic profit vs accounting profit';
catalog['Economic profit vs. accounting profit.  Average total cost (ATC) and marginal cost (MC).  Marginal product of labor (MPL).  Price discrimination.'] = '\u00d6konomischer Gewinn vs. buchalterischer Gewinn. Gesamte Durchschnitsskosten (ATC) und Grenzkosten (MC). Grenzprodukt der Arbeit (MPL).  Preisdiskriminierung.';
catalog['Economics and finance'] = 'Wirtschaft und Finanzen';
catalog['Economics can some times get confusing because one person\'s expenditure is another person\'s income which can then be used for expenditure and on and on and on.  Seems very circular.  It is.\n\nThis tutorial helps us grapple with this and introduces us to the primary tool economists use to measure a nations productivity/income/expenditure--GDP (gross domestic product).'] = '\u00d6konomik kann manchmal verwirrend sein, weil die Ausgaben einer Person gleichzeitig das Einkommen einer anderen Person sein kann, welches wiederum als Ausgabe verwendet werden kann, und so weiter. H\u00f6rt sich an wie ein gro\u00dfer Kreislauf. Ist es auch. \n\n Dieses Tutorial hilft uns, diesen Kreislauf zu verstehen und gibt eine Einf\u00fchrung in die wichtigsten Werkzeuge, die \u00d6konomen nutzen um die Produktivit\u00e4t, das Einkommen und die Ausgaben von Nationen - kurz das Bruttoinlandsprodukt (BIP) - zu messen.';
catalog['Economics of a cupcake factory'] = 'Economics of a cupcake factory';
catalog['Economics of a simple business leading up to a discussion on inflation/deflation.  Touching on income statements.'] = 'Economics of a simple business leading up to a discussion on inflation/deflation.  Touching on income statements.';
catalog['Economies never have a long steady march upwards.  They constantly oscillate between growth and recession.  This tutorial gives a little intuition for why that is.'] = 'Volkswirtschaften befinden sich niemals auf einem langen, stetigen Wachstumspfad. Sie wechseln st\u00e4ndig zwischen Wachstum und Rezession hin und her. Dieses Tutorial gibt hierf\u00fcr eine Erkl\u00e4rung.';
catalog['Economists have notices a correlation between unemployment and correlation (you may wan to guess what type of correlation).  On some level, this tutorial is common sense, but it will give you fancy labels for this relation so that you can sound fancy at fancy parties.'] = '\u00d6konomen haben herausgefunden, dass es eine Korrelation zwischen Arbeitslosigkeit und Inflation gibt (kannst Du Dir denken welche Art von Korrelation?). In gewisser Hinsicht ist dieses Tutorial sehr intuitiv, aber es vermittelt Dir schicke Bezeichnungen f\u00fcr diese Relation, so dass auf schicken Parties schick klingen kannst.';
catalog['Ecosystem ecology: Links in the chain'] = '\u00d6kosystem \u00d6kologie: Glieder in der Kette';
catalog['Ecosystem services'] = 'Ecosystem services';
catalog['Ecosystems and ecological networks'] = 'Ecosystems and ecological networks';
catalog['Ed Kienholz and Nancy Reddin Kienholz Useful Art #5: The Western Hotel, 1992'] = 'Ed Kienholz and Nancy Reddin Kienholz Useful Art #5: The Western Hotel, 1992';
catalog['Ed Kienholz and Nancy Reddin Kienholz, Useful Art #5: The Western Hotel, 1992\n(Portland Art Museum)\n\nSpeakers: Tina Olsen, Bruce Guenther'] = 'Ed Kienholz and Nancy Reddin Kienholz, Useful Art #5: The Western Hotel, 1992\n(Portland Art Museum)\n\nSpeakers: Tina Olsen, Bruce Guenther';
catalog['Edgar Degas, At the Races in the Countryside, 1869, oil on canvas, 36.5 x 55.9 cm / 14-3/8 x 22 inches (Museum of Fine Arts, Boston)'] = 'Edgar Degas, At the Races in the Countryside, 1869, oil on canvas, 36.5 x 55.9 cm / 14-3/8 x 22 inches (Museum of Fine Arts, Boston)';
catalog['Edgar Degas, The Bellelli Family, 1858-67, oil on canvas, 78-3/4 x 98-1/2 inches,  200 x 250 cm (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker \n\nDegas was in his mid-twenties when he painted this canvas. It depicts from left to right, the ten-year-old Giovanna, her mother, the artist\'s paternal aunt Laura, her younger daughter, Giula age 7, and the Baron Gennaro Bellelli. Preperatory sketches for the \npainting may have been made in Florence where the family was living\u2014the Baron had  been exiled from Naples. The picture may have been completed in Paris.'] = 'Edgar Degas, The Bellelli Family, 1858-67, oil on canvas, 78-3/4 x 98-1/2 inches,  200 x 250 cm (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker \n\nDegas was in his mid-twenties when he painted this canvas. It depicts from left to right, the ten-year-old Giovanna, her mother, the artist\'s paternal aunt Laura, her younger daughter, Giula age 7, and the Baron Gennaro Bellelli. Preperatory sketches for the \npainting may have been made in Florence where the family was living\u2014the Baron had  been exiled from Naples. The picture may have been completed in Paris.';
catalog['Edgar Degas, The Dance Class, oil on canvas, 1874 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris'] = 'Edgar Degas, The Dance Class, oil on canvas, 1874 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris';
catalog['Edgar Degas, Visit to a Museum, c. 1879--90, oil on canvas, 91.8 x 68 cm / 36-1/8 x 26-3/4 inches (Museum of Fine Arts, Boston)'] = 'Edgar Degas, Visit to a Museum, c. 1879--90, oil on canvas, 91.8 x 68 cm / 36-1/8 x 26-3/4 inches (Museum of Fine Arts, Boston)';
catalog['Edit Facility'] = 'Edit Facility';
catalog['Edit a facility'] = 'Eine Einrichtung bearbeiten';
catalog['Edit facility'] = 'Einrichtung  bearbeiten';
catalog['Edit user'] = 'Benutzer bearbeiten';
catalog['Edouard Manet, Corner of a Caf\u00e9-Concert, 1878-80, 97.1 x 77.5 cm  (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Edouard Manet, Corner of a Caf\u00e9-Concert, 1878-80, 97.1 x 77.5 cm  (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Edouard Manet, In the Conservatory, 1878-1879, oil on canvas, 115 x 150 cm (Alte Nationalgalerie, Staatliche Museen zu Berlin)'] = 'Edouard Manet, In the Conservatory, 1878-1879, oil on canvas, 115 x 150 cm (Alte Nationalgalerie, Staatliche Museen zu Berlin)';
catalog['Educational technology pioneer Salman Khan maps how online learning tools can help physical classrooms evolve to become hubs for creativity and hands-on experiences, and how Khan Academy and the Discovery Lab summer camp fit into that big picture.'] = 'Salman Khan, der Pionier der Bildungstechnologie, zeigt wie online-Lernmittel helfen k\u00f6nnen, physikalische Klassenzimmer zu Knotenpunkten f\u00fcr Kreativit\u00e4t und interaktive Erfahrungen zu entwickeln, und wie die Khan Akademie und das Discovery Lab Sommerlager in das Gesamtbild passen.';
catalog['Edvard Munch, The Storm, 1893, oil on canvas, 36 1/8 x 51 1/2" (91.8 x 130.8 cm), (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Amy Hamlin'] = 'Edvard Munch, The Storm, 1893, oil on canvas, 36 1/8 x 51 1/2" (91.8 x 130.8 cm), (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Amy Hamlin';
catalog['Edward Burne-Jones, King Cophetua and the Beggar Maid, oil on canvas, 1884\n(Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Edward Burne-Jones, King Cophetua and the Beggar Maid, oil on canvas, 1884\n(Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Edward Hopper, Nighthawks, 1942, oil on canvas, 84.1 x 152.4 cm / 33-1/8 x 60 inches (The Art Institut of Chicago)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Edward Hopper, Nighthawks, 1942, oil on canvas, 84.1 x 152.4 cm / 33-1/8 x 60 inches (The Art Institut of Chicago)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Effects of axon diameter and myelination'] = 'Effects of axon diameter and myelination';
catalog['Efficiency of a Carnot engine'] = 'Efficiency of a Carnot engine';
catalog['Effort versus achievement'] = 'Effort versus achievement';
catalog['Effort'] = 'Effort';
catalog['Egon Schiele, Hermits, 1912, oil on canvas, 71-1/4 x 71-1/4 inches (Leopold Museum, Vienna)'] = 'Egon Schiele, Hermits, 1912, oil on canvas, 71-1/4 x 71-1/4 inches (Leopold Museum, Vienna)';
catalog['Egon Schiele, Seated Male Nude (Self-Portrait), 1910, oil and gouache on canvas, 152.5 \u00d7 150 cm (Leopold Museum, Vienna)'] = 'Egon Schiele, Seated Male Nude (Self-Portrait), 1910, oil and gouache on canvas, 152.5 \u00d7 150 cm (Leopold Museum, Vienna)';
catalog['Eigen-everything'] = 'Eigen-everything';
catalog['Eigenvalues of a 3x3 matrix'] = 'Eigenwerte einer 3 x 3 Matrix';
catalog['Eigenvectors and eigenspaces for a 3x3 matrix'] = 'Eigenvectors and eigenspaces for a 3x3 matrix';
catalog['Eigenvectors, eigenvalues, eigenspaces!  We will not stop with the "eigens"!  Seriously though, eigen-everythings have many applications including finding "good" bases for a transformation (yes, "good" is a technical term in this context).'] = 'Eigenvectors, eigenvalues, eigenspaces!  We will not stop with the "eigens"!  Seriously though, eigen-everythings have many applications including finding "good" bases for a transformation (yes, "good" is a technical term in this context).';
catalog['Eight dramatic transitions drive big history&#39;s 13.8 billion year story.&nbsp;'] = 'Eight dramatic transitions drive big history&#39;s 13.8 billion year story.&nbsp;';
catalog['Eileen Cowin on her series "I See What You\'re Saying"'] = 'Eileen Cowin on her series "I See What You\'re Saying"';
catalog['El Greco (Domenikos Theotokopoulos), Adoration of the Shepherds, ca. 1612 - 1614, oil on canvas, 126 x 71 in. (319 x 180 cm), (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'El Greco (Domenikos Theotokopoulos), Adoration of the Shepherds, ca. 1612 - 1614, oil on canvas, 126 x 71 in. (319 x 180 cm), (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['El Greco, Adoration of the Shepherds'] = 'El Greco, Adoration of the Shepherds';
catalog['Elasticity and strange percent changes'] = 'Elasticity and strange percent changes';
catalog['Elasticity of supply'] = 'Elasticity of supply';
catalog['Elasticity'] = 'Elastizit\u00e4t';
catalog['Electoral college'] = 'Electoral college';
catalog['Electric Fields'] = 'Elektrische Felder';
catalog['Electric Motor'] = 'Elektromotor';
catalog['Electric Telegraphs and developments leading to Morse Code.'] = 'Elektrische Telegraphie und andere Entwicklungen die zum Morse-Code f\u00fchrten.';
catalog['Electric field generated by a uniformly charged, infinite plate'] = 'Electric field generated by a uniformly charged, infinite plate';
catalog['Electric motor'] = 'Electric motor';
catalog['Electric potential energy (part 2-- involves calculus)'] = 'Electric potential energy (part 2-- involves calculus)';
catalog['Electric potential energy difference in a varying field'] = 'Electric potential energy difference in a varying field';
catalog['Electric potential energy'] = 'Electric potential energy';
catalog['Electrical system of the heart'] = 'Electrical system of the heart';
catalog['Electricity and magnetism'] = 'Elektrizit\u00e4t und Magnetismus';
catalog['Electricity'] = 'Electricity';
catalog['Electrode (distance test)'] = 'Electrode (distance test)';
catalog['Electrode (surface area test)'] = 'Electrode (surface area test)';
catalog['Electrodes and voltage of Galvanic cell'] = 'Electrodes and voltage of Galvanic cell';
catalog['Electrolyte (salt test)'] = 'Electrolyte (salt test)';
catalog['Electrolyte (strong acid test)'] = 'Electrolyte (strong acid test)';
catalog['Electrolyte (temperature test)'] = 'Electrolyte (temperature test)';
catalog['Electrolyte test (pure water vs. vinegar)'] = 'Electrolyte test (pure water vs. vinegar)';
catalog['Electromagnet'] = 'Elektromagnet';
catalog['Electromagnetic field (above vs. below)'] = 'Electromagnetic field (above vs. below)';
catalog['Electromagnetic field (forward vs. reverse)'] = 'Electromagnetic field (forward vs. reverse)';
catalog['Electromagnetic field (loop)'] = 'Electromagnetic field (loop)';
catalog['Electron affinity'] = 'Electron affinity';
catalog['Electron carrier molecules'] = 'Electron carrier molecules';
catalog['Electron configurations 2'] = 'Elektronenkonfigurationen 2';
catalog['Electron configurations'] = 'Elektronenkonfigurationen';
catalog['Electron transport chain'] = 'Elektronentransportkette';
catalog['Electronegativity differences in bonding'] = 'Electronegativity differences in bonding';
catalog['Electronegativity'] = 'Elektronegativit\u00e4t';
catalog['Electronegativity, metallic nature and atomic radius.'] = 'Elektronegativit\u00e4t, Metalleigenschaften und Atomradius.';
catalog['Electrophilic Aromatic Substitution'] = 'Electrophilic Aromatic Substitution';
catalog['Electrophilic aromatic substitution mechanism'] = 'Mechanismus der elektrophilen aromatischen Substitution';
catalog['Electrophilic aromatic substitution'] = 'Electrophilic aromatic substitution';
catalog['Electrostatic telegraphs (case study)'] = 'Electrostatic telegraphs (case study)';
catalog['Electrostatics (part 1): Introduction to charge and Coulomb\'s law'] = 'Elektrostatik (Teil 1): Einf\u00fchrung in Ladung und das Coulomb\'sche Gesetz';
catalog['Electrostatics (part 2)'] = 'Elektrostatik (Teil 2)';
catalog['Electrostatics'] = 'Electrostatics';
catalog['Electrotonic and action potential'] = 'Electrotonic and action potential';
catalog['Elementary content'] = 'Elementary content';
catalog['Elements and atoms'] = 'Elemente und Atome';
catalog['Eliminating the parameter'] = 'Eliminating the parameter';
catalog['Elizabeth Slavitt'] = 'Elizabeth Slavitt';
catalog['Ellipses'] = 'Ellipsen';
catalog['Elon Musk - CEO of Tesla Motors and SpaceX'] = 'Elon Musk - CEO von Tesla Motors und SpaceX';
catalog['Email address'] = 'E-Mail-Adresse';
catalog['Email not specified'] = 'Email not specified';
catalog['Embark on a 13.8 billion year journey through the history of the Universe and humans, an adventure that will challenge you to think about school, life, and the Universe like never before.'] = 'Embark on a 13.8 billion year journey through the history of the Universe and humans, an adventure that will challenge you to think about school, life, and the Universe like never before.';
catalog['Embryonic stem cells'] = 'Embryonale Stammzellen';
catalog['Emil Nolde, "Young Couple," 1913'] = 'Emil Nolde, "Young Couple," 1913';
catalog['Emotion - Passage 1'] = 'Emotion - Passage 1';
catalog['Emotion - Passage 2'] = 'Emotion - Passage 2';
catalog['Emotion'] = 'Emotion';
catalog['Emotions: cerebral hemispheres and prefrontal cortex'] = 'Emotions: cerebral hemispheres and prefrontal cortex';
catalog['Emotions: limbic system'] = 'Emotions: limbic system';
catalog['Empire: Ara Pacis'] = 'Empire: Ara Pacis';
catalog['Empire: Arch of Titus'] = 'Empire: Arch of Titus';
catalog['Empire: Augustus of Primaporta'] = 'Empire: Augustus of Primaporta';
catalog['Empire: Colosseum (Flavian Amphitheater)'] = 'Empire: Colosseum (Flavian Amphitheater)';
catalog['Empire: Column of Trajan (Forum of Trajan)'] = 'Empire: Column of Trajan (Forum of Trajan)';
catalog['Empire: Head of Augustus'] = 'Empire: Head of Augustus';
catalog['Empire: Painted Garden, Villa of Livia'] = 'Empire: Painted Garden, Villa of Livia';
catalog['Empire: The Pantheon'] = 'Empire: The Pantheon';
catalog['Empires before World War I'] = 'Reiche vor dem 1. Weltkrieg';
catalog['Empirical and Molecular Formulas from Stoichiometry'] = 'Empirical and Molecular Formulas from Stoichiometry';
catalog['Empirical and molecular formulas from stoichiometry'] = 'Empirical and molecular formulas from stoichiometry';
catalog['Empirical rule'] = 'Empirische Regel';
catalog['Encoding strategies'] = 'Encoding strategies';
catalog['End Date'] = 'End Date';
catalog['End diastolic pressure-volume relationship (EDPVR)'] = 'End diastolic pressure-volume relationship (EDPVR)';
catalog['End systolic pressure-volume relationship (ESPVR)'] = 'End systolic pressure-volume relationship (ESPVR)';
catalog['Endocrine gland hormone review'] = 'Endocrine gland hormone review';
catalog['Endocrine system - Passage 1'] = 'Endocrine system - Passage 1';
catalog['Endocrine system - Passage 2'] = 'Endocrine system - Passage 2';
catalog['Endocrine system and influence on behavior - Part 1'] = 'Endocrine system and influence on behavior - Part 1';
catalog['Endocrine system and influence on behavior - Part 2'] = 'Endocrine system and influence on behavior - Part 2';
catalog['Endocrine system'] = 'Endocrine system';
catalog['Endocrinology and Diabetes'] = 'Endokrinologie und Diabetes';
catalog['Endocrinology and diabetes'] = 'Endokrinologie und Diabetes';
catalog['Endoplasmic reticulum and Golgi bodies'] = 'Endoplasmic reticulum and Golgi bodies';
catalog['Energy inputs for tilling a hectare of land'] = 'Energy inputs for tilling a hectare of land';
catalog['Energy of a capacitor'] = 'Energy of a capacitor';
catalog['Engaging Individuals with Dementia with Art.&nbsp;For more information please visit http://www.moma.org/meetme'] = 'Engaging Individuals with Dementia with Art.&nbsp;For more information please visit http://www.moma.org/meetme';
catalog['Engineering a Solution to Every Problem'] = 'Engineering a Solution to Every Problem';
catalog['England'] = 'England';
catalog['Enguerrand Quarton(?), Piet\u00e0 of Villeneuve-l\u00e8s-Avignon, c. 1455'] = 'Enguerrand Quarton(?), Piet\u00e0 of Villeneuve-l\u00e8s-Avignon, c. 1455';
catalog['Enjoy using KA Lite!'] = 'Enjoy using KA Lite!';
catalog['Enjoy!'] = 'Genie\u00df es!';
catalog['Enlightenment and Revolution (4-1)'] = 'Enlightenment and Revolution (4-1)';
catalog['Enlightenment and revolution'] = 'Enlightenment and revolution';
catalog['Enolate formation from aldehydes'] = 'Enolate formation from aldehydes';
catalog['Enolate formation from ketones'] = 'Enolate formation from ketones';
catalog['Enter new password'] = 'Neues Passwort eingeben';
catalog['Enterprise value'] = 'Enterprise value';
catalog['Entgegen-Zusammen Naming Scheme for Alkenes Examples'] = 'Entgegen-Zusammen Naming Scheme for Alkenes Examples';
catalog['Entgegen-Zusammen naming scheme for alkenes examples'] = 'Entgegen-Zusammen naming scheme for alkenes examples';
catalog['Enthalpy'] = 'Enthalpy';
catalog['Entrepreneurship'] = 'Unternehmertum';
catalog['Entropy intuition'] = 'Entropy intuition';
catalog['Entry, descent & landing'] = 'Entry, descent & landing';
catalog['Enzymatic inhibition and Lineweaver Burke plots'] = 'Enzymatic inhibition and Lineweaver Burke plots';
catalog['Enzyme kinetics - Passage 1'] = 'Enzyme kinetics - Passage 1';
catalog['Enzyme kinetics - Passage 2'] = 'Enzyme kinetics - Passage 2';
catalog['Enzyme kinetics'] = 'Enzyme kinetics';
catalog['Enzyme structure and function - Passage 1'] = 'Enzyme structure and function - Passage 1';
catalog['Enzyme structure and function - Passage 2'] = 'Enzyme structure and function - Passage 2';
catalog['Enzyme structure and function'] = 'Enzyme structure and function';
catalog['Enzymes and activation energy'] = 'Enzymes and activation energy';
catalog['Enzymes and their local environment'] = 'Enzymes and their local environment';
catalog['Enzymes are often named for their reactions, and you can often discern the function of an enzyme from its name. We will learn about six types of enzymes based on the type of reaction they catalyze.&nbsp;By Ross Firestone.'] = 'Enzymes are often named for their reactions, and you can often discern the function of an enzyme from its name. We will learn about six types of enzymes based on the type of reaction they catalyze.&nbsp;By Ross Firestone.';
catalog['Enzymes are often named for their reactions, and you can often discern the function of an enzyme from its name. We will learn about six types of enzymes based on the type of reaction they catalyze.'] = 'Enzymes are often named for their reactions, and you can often discern the function of an enzyme from its name. We will learn about six types of enzymes based on the type of reaction they catalyze.';
catalog['Ependymal cells'] = 'Ependymal cells';
catalog['Epoxide formation and anti dihydroxylation'] = 'Epoxide formation and anti dihydroxylation';
catalog['Epsilon delta definition of limits'] = 'Epsilon-Delta-Definition der Grenzwerte';
catalog['Epsilon-delta definition of limits'] = 'Epsilon-delta definition of limits';
catalog['Epsilon-delta limit definition 1'] = 'Epsilon-Delta Schranke Definition 1';
catalog['Epsilon-delta limit definition 2'] = 'Epsilon-Delta Schranke Definition 2';
catalog['Equal parts of circles and rectangles'] = 'Gleichen Teile von Kreisen und Rechtecken';
catalog['Equality is usually a good thing, but the world is not a perfect place.  No matter how hard we try, we can\'t help but compare one thing to another and realize how unequal they may be.\n\nThis tutorial gives you the tools to do these comparisons in the mathematical world (which we call inequalities).  You\'ll become familiar with the "greater than" and "less than symbols" and learn to use them.'] = 'Gleichheit ist im Normalfall eine gute Sache. Aber die Welt ist kein perfekter Ort. Ganz gleich wie sehr du es versuchst, du wirst nicht darum herum kommen zwei Dinge miteinander zu vergleichen und festzustellen, wie verschieden sie sind.\n\nDiese \u00dcbung gibt dir die Werkzeuge an die Hand, die du f\u00fcr diese Vergleiche in der mathematischen Welt ben\u00f6tigst (die man auch Ungleichheiten nennt). Du wirst dich mit dem "gr\u00f6\u00dfer als"- und "kleiner als"-Zeichen anfreunden und lernen, wie man sie benutzt.';
catalog['Equalizing marginal utility per dollar spent'] = 'Equalizing marginal utility per dollar spent';
catalog['Equation Special Cases'] = 'Sonderf\u00e4lle bei Gleichungen';
catalog['Equation examples for beginners'] = 'Beispiele zu Gleichungen f\u00fcr Anf\u00e4nger';
catalog['Equation for a circle using the Pythagorean Theorem'] = 'Equation for a circle using the Pythagorean Theorem';
catalog['Equation of a circle in factored form'] = 'Gleichung eines Kreises in faktorisierter Form';
catalog['Equation of a circle in non-factored form'] = 'Equation of a circle in non-factored form';
catalog['Equation of a circle'] = 'Gleichung eines Kreises';
catalog['Equation of a hyperbola'] = 'Gleichung einer Hyperbel';
catalog['Equation of a line 3'] = 'Gleichung einer Geraden 3';
catalog['Equation of a line from fractional slope and point'] = 'Gleichung einer Geraden aus einer Steigung in Form eines Bruchs und einem Punkt';
catalog['Equation of a tangent line and area between curves'] = 'Equation of a tangent line and area between curves';
catalog['Equation of a tangent line'] = 'Gleichung einer Tangente';
catalog['Equation of an ellipse'] = 'Gleichung einer Ellipse';
catalog['Equation of normal line'] = 'Equation of normal line';
catalog['Equation of tangent line example 1'] = 'Equation of tangent line example 1';
catalog['Equation special cases'] = 'Sonderf\u00e4lle bei Gleichungen';
catalog['Equations for beginners'] = 'Gleichungen f\u00fcr Anf\u00e4nger';
catalog['Equations for radical functions example'] = 'Equations for radical functions example';
catalog['Equations from tables'] = 'Gleichungen aus Tabellen';
catalog['Equations of Parallel and Perpendicular Lines'] = 'Gleichungen von parallelen und senkrechten Linien';
catalog['Equations of Sequence Patterns'] = 'Gleichungen f\u00fcr Muster von Folgen';
catalog['Equations of normal and tangent lines'] = 'Gleichungen von normalen und tangentialen Linien';
catalog['Equations of sequence patterns'] = 'Gleichungen f\u00fcr Muster von Folgen';
catalog['Equations with Variables on Both Sides'] = 'Gleichungen mit (der gleichen) Variablen auf beiden Seiten';
catalog['Equations with the variable on both sides.'] = 'Gleichungen mit Variablen auf beiden Seiten.';
catalog['Equations with variables on both sides'] = 'Gleichungen mit der gleichen Variablen auf beiden Seiten';
catalog['Equestrian Sculpture of Marcus Aurelius'] = 'Equestrian Sculpture of Marcus Aurelius';
catalog['Equestrian Sculpture of Marcus Aurelius, bronze, c. 173-76 C.E., (Capitoline Museums, Rome).\n\nThe original location of the sculpture is unknown though it had been housed in the Lateran Palace since the 8th century until it was placed in the center of the\nPiazza del Campidoglio by Michelangelo in 1538. The original is now indoors for\npurposes of conservation. Marcus Aurelius ruled 161-180 C.E.'] = 'Equestrian Sculpture of Marcus Aurelius, bronze, c. 173-76 C.E., (Capitoline Museums, Rome).\n\nThe original location of the sculpture is unknown though it had been housed in the Lateran Palace since the 8th century until it was placed in the center of the\nPiazza del Campidoglio by Michelangelo in 1538. The original is now indoors for\npurposes of conservation. Marcus Aurelius ruled 161-180 C.E.';
catalog['Equilateral and isosceles example problems'] = 'Equilateral and isosceles example problems';
catalog['Equilateral triangle sides and angles congruent'] = 'Equilateral triangle sides and angles congruent';
catalog['Equilibrium occurs when the overall state of a system is constant. Equilibrium can be static (nothing in the system is changing), or dynamic (little parts of the system are changing, but overall the state isn\'t changing). In my video, I\'ll demonstrate systems in both types of equilibrium, and how the equilibrium states can be shifted. \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions'] = 'Equilibrium occurs when the overall state of a system is constant. Equilibrium can be static (nothing in the system is changing), or dynamic (little parts of the system are changing, but overall the state isn\'t changing). In my video, I\'ll demonstrate systems in both types of equilibrium, and how the equilibrium states can be shifted. \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions';
catalog['Equilibrium price and quantity for supply and demand'] = 'Gleichgewichtspreis f\u00fcr Angebot und Nachfrage';
catalog['Equilibrium reactions and constants.'] = 'Gleichgewichtsreaktionen und -konstanten.';
catalog['Equity vs. debt'] = 'Equity vs. debt';
catalog['Equivalence point when titrating a weak acid'] = '\u00c4quivalenzpunkt bei der Titration einer schwachen S\u00e4ure';
catalog['Equivalent Fractions'] = 'Gleichwertige Br\u00fcche';
catalog['Equivalent expressions'] = 'Gleichwertige Ausdr\u00fccke';
catalog['Equivalent forms of expressions 1'] = 'Equivalente Formen von Ausdr\u00fccken 1';
catalog['Equivalent forms of expressions with complex numbers'] = 'Equivalent forms of expressions with complex numbers';
catalog['Equivalent forms of expressions with exponents'] = 'Entsprechende Formen von Ausdr\u00fccken mit Exponenten';
catalog['Equivalent forms of expressions with variable exponents'] = 'Equivalent forms of expressions with variable exponents';
catalog['Equivalent fraction models'] = 'Gleichwertige Bruch-Modelle';
catalog['Equivalent fraction word problem example 2'] = 'Gleichwertige Br\u00fcche - Textaufgabe Beispiel 2';
catalog['Equivalent fraction word problem example 3'] = 'Gleichwertige Br\u00fcche - Textaufgabe Beispiel 3';
catalog['Equivalent fraction word problem example'] = 'Gleichwertige Br\u00fcche - Textaufgabe Beispiel';
catalog['Equivalent fractions 2'] = '\u00c4quivalente Br\u00fcche 2';
catalog['Equivalent fractions and simplified form'] = '\u00c4quivalente Br\u00fcche und vereinfachte Form';
catalog['Equivalent fractions example'] = 'Beispiel f\u00fcr \u00e4quivalente Br\u00fcche';
catalog['Equivalent fractions visually and on number line'] = 'Gleichwertige Br\u00fcche visuell und auf einer Zahlengerade';
catalog['Equivalent fractions'] = '\u00c4quivalente Br\u00fcche';
catalog['Equivalent matrix expressions'] = 'Equivalent matrix expressions';
catalog['Erastus Salisbury Field, Portrait of a Young Woman'] = 'Erastus Salisbury Field, Portrait of a Young Woman';
catalog['Erastus Salisbury Field\'s Portrait of a Young Woman, c. 1830 (Portland Art Museum)\n\nSpeakers: Gerri Hayes and Floyd Sklaver'] = 'Erastus Salisbury Field\'s Portrait of a Young Woman, c. 1830 (Portland Art Museum)\n\nSpeakers: Gerri Hayes and Floyd Sklaver';
catalog['Eric Schmidt, the chairman of Google, explains why he\'s backing the work of Sal Khan and Khan Academy.'] = 'Eric Schmidt, der Vorsitzende von Google, erkl\u00e4rt, warum er die Arbeit von Sal Khan und der Khan Academy unterst\u00fctzt.';
catalog['Erikson\'s psychosocial development'] = 'Erikson\'s psychosocial development';
catalog['Ernst Ludwig Kirchner, "Street, Berlin" '] = 'Ernst Ludwig Kirchner, "Street, Berlin" ';
catalog['Ernst Ludwig Kirchner, Street, Dresden, oil on canvas, 1908 (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Steven Zucker, Dr. Beth Harris'] = 'Ernst Ludwig Kirchner, Street, Dresden, oil on canvas, 1908 (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Steven Zucker, Dr. Beth Harris';
catalog['Error correction'] = 'Error correction';
catalog['Error or remainder of a Taylor polynomial approximation'] = 'Fehler oder Rest einer Taylor-Polynom-Ann\u00e4herung';
catalog['Error'] = 'Fehler';
catalog['Error: %s'] = 'Error: %s';
catalog['Error: query not specified.'] = 'Error: query not specified.';
catalog['Estate tax introduction'] = 'Estate tax introduction';
catalog['Estimate lengths using units of inches, feet, centimeters, and meters.'] = 'Estimate lengths using units of inches, feet, centimeters, and meters.';
catalog['Estimating a solution to nonlinear system with calculator part 2'] = 'Sch\u00e4tzen eine L\u00f6sung f\u00fcr nichtlineares System mit Rechner - Teil 2';
catalog['Estimating a solution to nonlinear system with calculator'] = 'Sch\u00e4tzen eine L\u00f6sung f\u00fcr nichtlineares System mit Taschenrechner';
catalog['Estimating and rounding with decimals'] = 'Sch\u00e4tzen und Runden mit Dezimalzahlen';
catalog['Estimating lengths'] = 'Estimating lengths';
catalog['Estimating limit numerically'] = 'Estimating limit numerically';
catalog['Estimating limits from graphs'] = 'Grenzwerte durch Graphen absch\u00e4tzen';
catalog['Estimating line of best fit'] = 'Sch\u00e4tzung der am besten passenden Linie';
catalog['Estimating probability'] = 'Einsch\u00e4tzen der Wahrscheinlichkeit';
catalog['Estimating square roots'] = 'Quadratwurzeln sch\u00e4tzen';
catalog['Estimating the line of best fit exercise'] = 'Absch\u00e4tzen der Geraden, die am besten passt - \u00dcbung';
catalog['Estimating the line of best fit'] = 'Eine Regressionsgerade absch\u00e4tzen';
catalog['Estimating the probability of rolling 7'] = 'Wie gro\u00df ist die Wahrscheinlichkeit, 7 zu w\u00fcrfeln';
catalog['Estimating the probability that the true population mean lies within a range around a sample mean.'] = 'Einsch\u00e4tzung der Wahrscheinlichkeit, dass der wahre Erwartungswert in einem Bereich um einen Stichproben-Mittelwert liegt.';
catalog['Estimating the product of two, 2-digit numbers'] = 'Produkt von zwei zweistelligen Zahlen sch\u00e4tzen';
catalog['Ether Naming and Introduction'] = 'Ether Naming and Introduction';
catalog['Ether naming and introduction'] = 'Ether naming and introduction';
catalog['Ether nomenclature'] = 'Ether nomenclature';
catalog['Etruscan art'] = 'Etruscan art';
catalog['Euclid and his Elements (and how much Abraham Lincoln liked them)'] = 'Euklid und seine Elemente (und wie sehr Abraham Lincoln sie mochte)';
catalog['Euclid as the father of geometry'] = 'Euclid als der Vater der Geometrie';
catalog['Eug\u00e8ne Delacroix, Liberty Leading the People, oil on canvas, 2.6 x 3.25m, 1830 (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Eug\u00e8ne Delacroix, Die Freiheit f\u00fchrt das Volk, \u00d6l auf Leinwand, 2,6 x 3,25 m, 1830 (Mus\u00e9e du Louvre, Paris) \n\nDialog: Dr. Beth Harris und Dr. Steven Zucker';
catalog['Eug\u00e8ne Delacroix, Scene of the massacre at Chios; Greek families awaiting death or slavery, 1824 Salon, oil on canvas,  164" \u00d7 139" (419 cm \u00d7 354 cm) (Mus\u00e9e du Louvre, Paris) \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/delacroix-scene-massacre-chios.html'] = 'Eug\u00e8ne Delacroix, Scene of the massacre at Chios; Greek families awaiting death or slavery, 1824 Salon, oil on canvas,  164" \u00d7 139" (419 cm \u00d7 354 cm) (Mus\u00e9e du Louvre, Paris) \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/delacroix-scene-massacre-chios.html';
catalog['Eug\u00e8ne Delacroix, The Death of Sardanapalus, 1827, oil on canvas, 12 ft 10 in x 16 ft 3 in. (3.92 x 4.96m) (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker'] = 'Eug\u00e8ne Delacroix, The Death of Sardanapalus, 1827, oil on canvas, 12 ft 10 in x 16 ft 3 in. (3.92 x 4.96m) (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker';
catalog['Eukaryopolis - The city of animal cells'] = 'Eukaryopolis - die Stadt der Tierzellen';
catalog['Euler line'] = 'Euler line';
catalog['Euler\'s formula and Euler\'s identity'] = 'Euler\'sche Formel und Euler\'sche Idendit\u00e4t';
catalog['Euler\'s line proof'] = 'Euler\'s line proof';
catalog['Euler\'s totient function'] = 'Eulersche Phi-Funktion';
catalog['Europe in 1907 was powerful, wealthy and stable. The British Empire was unmatched with huge territories that stretched across the globe. The Austrian-Hungarian and Ottoman Empires remained intact, and the Italians, Germans, Dutch, Spanish and Portuguese retained colonies. Nevertheless, the old order would soon collapse, a result of the Great War in 1914. But this trauma was only the beginning. A global financial collapse precipitated by the stock market crash of 1929 allowed Mussolini, Franco and Hitler to seize power. The violence only worsened with the Holocaust, Japanese Imperial expansion, and the Second World War.\n\nAt the same time, this was a period of radical advances in music (Stravinsky, Bartok, etc.), in dance (Duncan, Graham, etc.) in literature (Joyce, Pound, etc.), science (Einstein, Heisenberg, etc.), and of course, in art (Matisse, Picasso, etc.). In the years between the wars artists explored abstraction and the irrational. After the war, and with Europe in ruins, the focus of the art world shifted from Paris to New York where Abstract Expressionism was born.'] = 'Europe in 1907 was powerful, wealthy and stable. The British Empire was unmatched with huge territories that stretched across the globe. The Austrian-Hungarian and Ottoman Empires remained intact, and the Italians, Germans, Dutch, Spanish and Portuguese retained colonies. Nevertheless, the old order would soon collapse, a result of the Great War in 1914. But this trauma was only the beginning. A global financial collapse precipitated by the stock market crash of 1929 allowed Mussolini, Franco and Hitler to seize power. The violence only worsened with the Holocaust, Japanese Imperial expansion, and the Second World War.\n\nAt the same time, this was a period of radical advances in music (Stravinsky, Bartok, etc.), in dance (Duncan, Graham, etc.) in literature (Joyce, Pound, etc.), science (Einstein, Heisenberg, etc.), and of course, in art (Matisse, Picasso, etc.). In the years between the wars artists explored abstraction and the irrational. After the war, and with Europe in ruins, the focus of the art world shifted from Paris to New York where Abstract Expressionism was born.';
catalog['Eva Hesse, Untitled (Rope Piece), 1970, rope, latex, string, wire, variable dimensions (Whitney Museum of American Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/untitled-rope-piece.html'] = 'Eva Hesse, Untitled (Rope Piece), 1970, rope, latex, string, wire, variable dimensions (Whitney Museum of American Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/untitled-rope-piece.html';
catalog['Eva Hesse, Untitled, enamel paint, string, papier-m\u00e2ch\u00e9, elastic cord, 1966 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Eva Hesse, Untitled, enamel paint, string, papier-m\u00e2ch\u00e9, elastic cord, 1966 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Evaluate a formula using substitution'] = 'Auswertung einer Formel durch Substitution';
catalog['Evaluate equations in one variable for a given value.'] = 'Bearbeite Gleichungen mit einer Variable mit gegebenem Wert.';
catalog['Evaluate expressions in 2 variables for given values. Includes some exponents.'] = 'Berechne Ausdr\u00fccke mit 2 gegebenen Variablen. Auch Exponenten k\u00f6nnen dabei sein.';
catalog['Evaluating Expressions with Two Variables'] = 'Terme mit zwei Variablen auswerten';
catalog['Evaluating Functions'] = 'Funktionen auswerten';
catalog['Evaluating a function expression'] = 'Funktionsausdr\u00fccke auswerten';
catalog['Evaluating a polynomial at a given value'] = 'Auswertung eines Polynoms bei einem gegebenen Wert';
catalog['Evaluating an expression with and without parentheses'] = 'Die Auswertung eines Ausdrucks mit und ohne Klammern';
catalog['Evaluating and comparing absolute values'] = 'Bewertung und Vergleich von Absolutwerten';
catalog['Evaluating composite functions example'] = 'Beispiel zur Auswertung verketteter Funktionen';
catalog['Evaluating composite functions'] = 'Auswerten von zusammengesetzten Funktionen';
catalog['Evaluating exponential expressions 2'] = 'Auswertung von exponentiellen Ausdr\u00fccken 2';
catalog['Evaluating exponential expressions 3'] = 'Auswertung von exponentiellen Ausdr\u00fccken 3';
catalog['Evaluating exponential expressions'] = 'Auswertung von exponentiellen Ausdr\u00fccken';
catalog['Evaluating expressions in 2 variables'] = 'Auswerten von Ausdr\u00fccken mit 2 Variablen';
catalog['Evaluating expressions in one variable'] = 'Auswerten von Ausdr\u00fccken mit einer Variablen';
catalog['Evaluating expressions in two variables'] = 'Auswerten von Ausdr\u00fccken mit 2 Variablen';
catalog['Evaluating expressions using order of operations'] = 'Auswerten von Ausdr\u00fccken mit Hilfe der Reihenfolge der Rechenoperationen';
catalog['Evaluating expressions where individual variable values are unknown'] = 'Gleichungen aufl\u00f6sen, wenn die Werte der einzelnen Variablen unbekannt sind';
catalog['Evaluating expressions with function notation'] = 'Berechnen von Ausdr\u00fccken in Funktionsnotation';
catalog['Evaluating expressions with unknown variables 2'] = 'Ausdr\u00fccke mit unbekannten Variablen auswerten 2';
catalog['Evaluating expressions with unknown variables'] = 'Ausdr\u00fccke mit unbekannten Variablen auswerten';
catalog['Evaluating expressions with variables word problems'] = 'Textaufgaben mit Variablen l\u00f6sen';
catalog['Evaluating expressions'] = 'Terme auswerten';
catalog['Evaluating function expressions'] = 'Funktionsausdr\u00fccke auswerten';
catalog['Evaluating integral for shell method example'] = 'Evaluating integral for shell method example';
catalog['Evaluating integral for washer method around vertical line'] = 'Evaluating integral for washer method around vertical line';
catalog['Evaluating integral set up in the last video using washer method.'] = 'Evaluating integral set up in the last video using washer method.';
catalog['Evaluating integral set up with shell method for two functions.'] = 'Evaluating integral set up with shell method for two functions.';
catalog['Evaluating inverse trig functions'] = 'Evaluating inverse trig functions';
catalog['Evaluating line integral directly - part 1'] = 'Evaluating line integral directly - part 1';
catalog['Evaluating line integral directly - part 2'] = 'Evaluating line integral directly - part 2';
catalog['Evaluating logarithms 2'] = 'Logarithmen berechnen 2';
catalog['Evaluating logarithms'] = 'Bewertung von Logarithmen';
catalog['Evaluating simple definite integral'] = 'Einfaches bestimmtes Integral auswerten';
catalog['Evaluating the definite integral set up using the shell method'] = 'Evaluating the definite integral set up using the shell method';
catalog['Evaluating the surface integral over the outside of the chopped cylinder'] = 'Evaluating the surface integral over the outside of the chopped cylinder';
catalog['Evaluating the surface integral'] = 'Evaluating the surface integral';
catalog['Evaluating the third surface integral and coming to the final answer'] = 'Evaluating the third surface integral and coming to the final answer';
catalog['Evaluating with function notation'] = 'Evaluating with function notation';
catalog['Even and odd functions'] = 'Gerade und ungerade Funktionen';
catalog['Even experts don\u2019t have all the answers. Sometimes they don\u2019t even know which questions to ask. What do you think the most important unanswered question might be?'] = 'Even experts don\u2019t have all the answers. Sometimes they don\u2019t even know which questions to ask. What do you think the most important unanswered question might be?';
catalog['Even more examples of function exercises.  Introduction of a graph as definition of a function.'] = 'Noch mehr Beispiele f\u00fcr Funktions\u00fcbungen. Einf\u00fchrung eines Diagramms als Definition einer Funktion.';
catalog['Even when a function is nonlinear, we can calculate the average rate of change over an interval (we\'ll need calculus to calculate the rate of change at a particular value of the independent variable).  This tutorial will give you practice doing just that.'] = 'Selbst wenn eine Funktion nonlinear ist, k\u00f6nnen wir die durchschnittliche \u00c4nderungsrate f\u00fcr ein Interval berechnen (Wir werden Analysis ben\u00f6tigen, um die \u00c4nderungsrate f\u00fcr einen bestimmten Wert unabh\u00e4ngig der Variable zu berechnen). Dieses Tutorial wird die \u00dcbung darin verschaffen, dies zu tun.';
catalog['Even when there might be a rough linear relationship between two variables, the data in the real-world is never as clean as you want it to be.  This tutorial helps you think about how you can best fit a line to the relationship between two variables.'] = 'Auch wenn eine grobe lineare Beziehung zwischen zwei Variablen besteht, sind die Daten aus der echten Welt nie so sch\u00f6n wie du es gerne h\u00e4ttest. Dieses Tutorial hilft dir dabei dar\u00fcber nachzudenken, wie du eine Linie findest, die die Beziehung von zwei Variablen am besten beschreibt.';
catalog['Ever played the game where you flip over cards and try to find pairs? Learn how to program a digital version of it!'] = 'Ever played the game where you flip over cards and try to find pairs? Learn how to program a digital version of it!';
catalog['Ever spill jelly beans on the floor? In the new Universe, some atoms \u2013 like the jelly beans \u2013 wound up together in pockets. Unlike the jelly bean scenario, gravity did its thing. Long story short\u2026stars.'] = 'Ever spill jelly beans on the floor? In the new Universe, some atoms \u2013 like the jelly beans \u2013 wound up together in pockets. Unlike the jelly bean scenario, gravity did its thing. Long story short\u2026stars.';
catalog['Ever walk on hill (or any wacky surface) and wonder which way would be the fastest way up (or down).  Now you can figure this out exactly with the gradient.'] = 'Ever walk on hill (or any wacky surface) and wonder which way would be the fastest way up (or down).  Now you can figure this out exactly with the gradient.';
catalog['Ever wonder about your lab values and what they mean?  Lab values measure amounts of electrolytes or cells in your blood and occasionally tell you about how hormones and enzymes are working!  Dive deeper and get a good understanding of concentrations as well!'] = 'Hast du dich auch schonmal \u00fcber deine Laborwerte und ihre Bedeutung gewundert? Blutwerte bestimmen die Menge der Elektrolyte oder Zellzahl in deinem Blut und sagen dir manchmal auch etwas dar\u00fcber, wie Hormone und Enzyme funktionieren! Tauche tiefer in das Thema ein und verstehe, was Konzentrationen bedeuten!';
catalog['Ever wonder exactly how the left ventricle\'s pressure changes over time?  Find out in this color-coded video!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Ever wonder exactly how the left ventricle\'s pressure changes over time?  Find out in this color-coded video!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Ever wonder what methods you can use to make something?  From manual to semi-automatic to fully automatic, watch what methods you can use to dome some simple manufacturing tasks such as cutting and drilling.'] = 'Ever wonder what methods you can use to make something?  From manual to semi-automatic to fully automatic, watch what methods you can use to dome some simple manufacturing tasks such as cutting and drilling.';
catalog['Ever wonder why the heart sounds the way that it does?  Opening and closing of heart valves makes the heart rhythm come alive with its lub dub beats...  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Ever wonder why the heart sounds the way that it does?  Opening and closing of heart valves makes the heart rhythm come alive with its lub dub beats...  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Ever wondered what pollsters are talking about when they said that there is a 3% "margin of error" in their results.  Well, this tutorial will not only explain what it means, but give you the tools and understanding to be a pollster yourself!'] = 'Ever wondered what pollsters are talking about when they said that there is a 3% "margin of error" in their results.  Well, this tutorial will not only explain what it means, but give you the tools and understanding to be a pollster yourself!';
catalog['Every action has an equal and opposite reaction'] = 'Every action has an equal and opposite reaction';
catalog['Every time you split your avocado harvest with your 10 pet robot possums, you\'ve been dividing.  You don\'t farm avocados?  You only have 8 robot possums?  No worries.  I\'m sure you\'ve divided as well.\n\nMultiplication is awesome, but you\'re ready for the next step. Division is the art of trying to split things into equal groups.  Like subtraction undoes addition, division also undoes multiplication.  After this tutorial, you\'ll have a basic understanding of all of the core operations in arithmetic!'] = 'Jedes Mal, wenn du deine Avocado Ernte mit deinen 10 Roboter-Opossums teilst, hast du dividiert.  Du baust keine Avocados an?  Du hast nur 8 Roboter-Opossums?  Keine Sorge.  Ich bin sicher, dass du trotzdem dividiert hast.\n\nMultiplikation ist beeindruckend, aber du bist bereit f\u00fcr den n\u00e4chsten Schritt. Division ist die Kunst, etwas in gleich gro\u00dfe Teile zu teilen. Wie Subtraktion die Addition r\u00fcckg\u00e4ngig macht, macht die Division auch die Multiplikation r\u00fcckg\u00e4ngig.  Nach diesem Tutorial hast du ein grundlegendes Verst\u00e4ndnis aller Kernoperationen in der Arithmetik!';
catalog['Every time you take a breath, oxygen makes it way into your lungs.  Follow along on that journey!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Jedes Mal, wenn Du einen Atemzug nimmst, kommt Sauerstoff in deine Lungen. Folge dieser Reise!  Rishi ist ein Arzt f\u00fcr p\u00e4diatrische Infektionskrankheiten und arbeitet an der Khan Academy.';
catalog['Every volcanic eruption and earthquakes are a reminder that Earth is very much alive and in motion.'] = 'Every volcanic eruption and earthquakes are a reminder that Earth is very much alive and in motion.';
catalog['Every watch a slinky gyrate back and forth.  This is harmonic motion (a special class of oscillatory motion).  In this tutorial we\'ll see how we can model and deal with this type of phenomena.'] = 'Every watch a slinky gyrate back and forth.  This is harmonic motion (a special class of oscillatory motion).  In this tutorial we\'ll see how we can model and deal with this type of phenomena.';
catalog['Every year, 25,000 British Muslims make the pilgrimage to Mecca. As part of the exhibition, Hajj: journey to the heart of Islam, the <a data-cke-saved-href="http://www.britishmuseum.org/whats_on/past_exhibitions/2012/hajj/the_exhibition.aspx" href="http://www.britishmuseum.org/whats_on/past_exhibitions/2012/hajj/the_exhibition.aspx">British Museum</a> asked what this journey is like...'] = 'Every year, 25,000 British Muslims make the pilgrimage to Mecca. As part of the exhibition, Hajj: journey to the heart of Islam, the <a data-cke-saved-href="http://www.britishmuseum.org/whats_on/past_exhibitions/2012/hajj/the_exhibition.aspx" href="http://www.britishmuseum.org/whats_on/past_exhibitions/2012/hajj/the_exhibition.aspx">British Museum</a> asked what this journey is like...';
catalog['Everything Everything have created a track inspired by Francis Bacon&#39;s&nbsp;<em>Triptych - August 1972</em>,&nbsp;on display at Tate Britain.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.'] = 'Everything Everything have created a track inspired by Francis Bacon&#39;s&nbsp;<em>Triptych - August 1972</em>,&nbsp;on display at Tate Britain.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.';
catalog['Everything in the universe can be measured.'] = 'Alles im Universum kann gemessen werden.';
catalog['Everything in this tutorial is covered (with better resolution and handwriting) in the "other" Maclaurin and Taylor series tutorial, but this one has a bit of old-school charm so we are keeping it here for historical reasons.'] = 'Everything in this tutorial is covered (with better resolution and handwriting) in the "other" Maclaurin and Taylor series tutorial, but this one has a bit of old-school charm so we are keeping it here for historical reasons.';
catalog['Evolution and natural selection'] = 'Evolution und nat\u00fcrliche Selektion';
catalog['Evolution and population dynamics - Passage 1'] = 'Evolution and population dynamics - Passage 1';
catalog['Evolution and population dynamics'] = 'Evolution und Populationsdynamik';
catalog['Evolution clarification'] = 'Evolution clarification';
catalog['Evolution today'] = 'Evolution today';
catalog['Evolution'] = 'Evolution';
catalog['Evolution: It\'s a Thing'] = 'Evolution: Es ist eine Sache';
catalog['Evolutionary development: Chicken teeth'] = 'Evolution\u00e4re Entwicklung: H\u00fchnerz\u00e4hne';
catalog['Ex 1 age word problem'] = 'Bsp. 1: Textaufgabe zum Alter';
catalog['Ex 1: Distributive property to simplify'] = '\u00dcbg. 1: Distributivgesetz zur Vereinfachung nutzen';
catalog['Ex 1: Evaluating a function'] = 'Beispiel 1: Eine Funktion auswerten';
catalog['Ex 1: Multi step equation'] = 'Ex 2: Mehrstufige Gleichung';
catalog['Ex 2 age word problem'] = 'Bsp 2 Textaufgabe zu Alter';
catalog['Ex 2: Distributive property to simplify'] = '\u00dcbg. 2: Distributivgesetz zur Vereinfachung nutzen';
catalog['Ex 2: Graphing a basic function'] = 'Ex 2: Grafische Darstellung eine Grundfunktion';
catalog['Ex 2: Multi-step equation'] = 'Ex 2: Mehrstufige Gleichung';
catalog['Ex 3 age word problem'] = 'Bsp 3 Textaufgabe zu Alter';
catalog['Ex 3: Distributive property to simplify'] = '\u00dcbg. 3: Distributivgesetz zur Vereinfachung nutzen';
catalog['Ex 4: Graphing radical functions'] = 'Ex 4: Wurzelfunktionen zeichnen';
catalog['Exact equations and integrating factors'] = 'Exakte Gleichungen und integrierende Faktoren';
catalog['Exact equations example 1'] = 'Exakte Gleichungen - Beispiel 1';
catalog['Exact equations example 2'] = 'Exact equations example 2';
catalog['Exact equations example 3'] = 'Exact equations example 3';
catalog['Exact equations intuition 1 (proofy)'] = 'Exact equations intuition 1 (proofy)';
catalog['Exact equations intuition 2 (proofy)'] = 'Exact equations intuition 2 (proofy)';
catalog['Exactly three heads in five flips'] = 'Genau 3 mal Kopf aus 5 M\u00fcnzw\u00fcrfen';
catalog['Example 1: Completing the square'] = 'Beispiel 1: Vervollst\u00e4ndige das Quadrat';
catalog['Example 1: Factoring by grouping'] = 'Beispiel 1: Faktorisierung durch Gruppierung';
catalog['Example 1: Factoring difference of squares'] = 'Beispiel 1: Faktorisierung der Differenz von Quadraten';
catalog['Example 1: Factoring quadratic expressions'] = 'Beispiel 1: Faktorisierung quadratischer Ausdr\u00fccke';
catalog['Example 1: Factoring trinomials with a common factor'] = 'Beispiel 1: Trinome mit einem gemeinsamen Teiler faktorisieren';
catalog['Example 1: Solving systems by elimination'] = 'Beispiel 1: L\u00f6sen von Gleichungssystemen durch Elimination';
catalog['Example 1: Solving systems by substitution'] = 'Beispiel 1: L\u00f6sen von Gleichungssystemen durch Substitution';
catalog['Example 1: Using the quadratic formula'] = 'Beispiel 1: Verwenden der Mitternachtsformel';
catalog['Example 1: Variables on both sides'] = 'Beispiel 1: Variablen auf beiden Seiten';
catalog['Example 2: Completing the square'] = 'Beispiel 2: Vervollst\u00e4ndige das Quadrat';
catalog['Example 2: Factoring by grouping'] = 'Beispiel 2: Faktorisierung durch Gruppierung';
catalog['Example 2: Factoring difference of squares'] = 'Beispiel 2: Faktorisierung der Differenz von Quadraten';
catalog['Example 2: Graphically solving systems'] = 'Beispiel 2: Gleichungssysteme grafisch l\u00f6sen';
catalog['Example 2: Solving systems by elimination'] = 'Beispiel 2: L\u00f6sen von Gleichungssystemen durch Elimination';
catalog['Example 2: Solving systems by substitution'] = 'Beispiel 2: L\u00f6sen von Gleichungssystemen durch Substitution';
catalog['Example 2: Using the quadratic formula'] = 'Beispiel 2: Verwenden der quadratischen Formel';
catalog['Example 2: Variables on both sides'] = 'Beispiel 2: Variablen auf beiden Seiten';
catalog['Example 3: Completing the square'] = 'Beispiel 3: Vervollst\u00e4ndige das Quadrat';
catalog['Example 3: Factoring by grouping'] = 'Beispiel 3: Faktorisierung durch Gruppierung';
catalog['Example 3: Graphically solving systems'] = 'Beispiel 3: Gleichungssysteme grafisch l\u00f6sen';
catalog['Example 3: Solving systems by elimination'] = 'Beispiel 3: L\u00f6sen von Gleichungssystemen durch Elimination';
catalog['Example 3: Solving systems by substitution'] = 'Beispiel 3: L\u00f6sen von Gleichungssystemen durch Substitution';
catalog['Example 3: Using the quadratic formula'] = 'Beispiel 3: Verwenden der quadratischen Formel';
catalog['Example 4: Applying the quadratic formula'] = 'Beispiel 4: Anwenden der quadratischen Formel';
catalog['Example 4: Factoring by grouping'] = 'Beispiel 4: Faktorisierung durch Gruppierung';
catalog['Example 5: Factoring by grouping'] = 'Beispiel 5: Faktorisierung durch Gruppierung';
catalog['Example 5: Using the quadratic formula'] = 'Beispiel 5: Verwenden der quadratischen Formel';
catalog['Example 6: Factoring by grouping'] = 'Beispiel 6: Faktorisierung durch Gruppierung';
catalog['Example adding within 20'] = 'Beispiel: Addieren bis 20';
catalog['Example calculating real GDP with a deflator'] = 'Example calculating real GDP with a deflator';
catalog['Example doing Khan Academy systems of equations exercise at: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution'] = 'Beispiel f\u00fcr Khan Academy Gleichungssysteme siehet: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution';
catalog['Example evaluating expressions in word problems'] = 'Beispiel zur Auswertung von Ausdr\u00fccken in Textaufgaben';
catalog['Example factoring sum of squares'] = 'Example factoring sum of squares';
catalog['Example involving an isosceles triangle and parallel lines'] = 'Example involving an isosceles triangle and parallel lines';
catalog['Example involving properties of medians'] = 'Example involving properties of medians';
catalog['Example involving the preimage of a set under a transformation.  Definition of kernel of a transformation.'] = 'Example involving the preimage of a set under a transformation.  Definition of kernel of a transformation.';
catalog['Example of Finding Reactant Empirical Formula'] = 'Example of Finding Reactant Empirical Formula';
catalog['Example of Sal working on KA Divisibility Module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition'] = 'Beispiel von Sal zu KA Modul zu Teilbarkeit: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/divisibility_intuition';
catalog['Example of a transformation matrix for a projection onto a subspace'] = 'Example of a transformation matrix for a projection onto a subspace';
catalog['Example of angle hunting!'] = 'Beispiel f\u00fcr Winkel-Jagd!';
catalog['Example of calculating a surface integral part 1'] = 'Example of calculating a surface integral part 1';
catalog['Example of calculating a surface integral part 2'] = 'Example of calculating a surface integral part 2';
catalog['Example of calculating a surface integral part 3'] = 'Example of calculating a surface integral part 3';
catalog['Example of calculating speed and velocity'] = 'Beispiel wie man Geschwindigkeit ausrechnet';
catalog['Example of calculating the flux across a surface by using the Divergence Theorem'] = 'Example of calculating the flux across a surface by using the Divergence Theorem';
catalog['Example of calculating the inverse of a 2x2 matrix'] = 'Beispiel der Berechnung des Kehrwerts einer 2x2 Matrix';
catalog['Example of calculating the inverse of a matrix'] = 'Example of calculating the inverse of a matrix';
catalog['Example of closed line integral of conservative field'] = 'Example of closed line integral of conservative field';
catalog['Example of figuring out the least common multiple of two numbers.&nbsp; This is one of the very first videos made on Khan Academy.&nbsp;&nbsp;&nbsp; Mistake notice:&nbsp; Sal forgets 56 as a multiple of 8.'] = 'Beispiel f\u00fcr das kleinstes gemeinsame Vielfache von zwei Zahlen. &nbsp; Dies ist eines der ersten Videos von Khan Academy. &nbsp;&nbsp;&nbsp; Anmerkung zu einem Fehler:: Sal vergisst 56 als ein Vielfaches von 8.';
catalog['Example of figuring out the probability of picking a non-blue marble from a bag.'] = 'Beispiel zur Berechnung der Wahrscheinlichkeit eine nicht-blaue Murmel aus einem Beutel zu nehmen.';
catalog['Example of finding matrix inverse'] = 'Example of finding matrix inverse';
catalog['Example of finding reactant empirical formula'] = 'Example of finding reactant empirical formula';
catalog['Example of finding the transformation matrix for an alternate basis'] = 'Example of finding the transformation matrix for an alternate basis';
catalog['Example of finding the transformation matrix for the projection onto a subspace with an orthonormal basis'] = 'Example of finding the transformation matrix for the projection onto a subspace with an orthonormal basis';
catalog['Example of long division without remainders'] = 'Beispiel f\u00fcr lange Division ohne Rest';
catalog['Example of rigid transformation and congruence'] = 'Example of rigid transformation and congruence';
catalog['Example of solving an absolute value equation'] = 'Beispiel f\u00fcr eine Gleichung mit einem absoluten Wert';
catalog['Example of solving for a variable'] = 'Beispiel zum Aufl\u00f6sen nach einer Variablen';
catalog['Example of solving systems of equations with elimination'] = 'Beispiel zur L\u00f6sung von Gleichungssystemen mit Elimination';
catalog['Example of taking a closed line integral of a conservative field'] = 'Example of taking a closed line integral of a conservative field';
catalog['Example of taking the product of two matrices'] = 'Example of taking the product of two matrices';
catalog['Example of the law of demand'] = 'Beispiel f\u00fcr das Gesetz der Nachfrage';
catalog['Example of using similarity and congruence to find the area of a triangle'] = 'Example of using similarity and congruence to find the area of a triangle';
catalog['Example of using trig substitution to solve an indefinite integral'] = 'Beispiel zur trigonometrischen Substitution um ein undefiniertes Integral zu l\u00f6sen';
catalog['Example of using u-substitution to evaluate a definite integral'] = 'Beispiel f\u00fcr die Verwendung von u-Substitution f\u00fcr ein bestimmtes Integral';
catalog['Example problem involving PV=nRT'] = 'Example problem involving PV=nRT';
catalog['Example problem that pv=pv.  Introduction to temperature.'] = 'Example problem that pv=pv.  Introduction to temperature.';
catalog['Example relating trig function to side ratios'] = 'Beispiel, das trigonometrische Funktionen zu Seiten Verh\u00e4ltnissen in Beziehung setzt';
catalog['Example showing how to divide two numbers expressed in scientific notation'] = 'Beispiel, das zeigt, wie zwei Zahlen in wissenschaftlicher Schreibweise dividiert werden';
catalog['Example showing how to find the volume of a solid of revolution (constructed by rotating around the x-axis) using the shell method (this could have been done with the disk method as well).'] = 'Example showing how to find the volume of a solid of revolution (constructed by rotating around the x-axis) using the shell method (this could have been done with the disk method as well).';
catalog['Example solving for the eigenvalues of a 2x2 matrix'] = 'Example solving for the eigenvalues of a 2x2 matrix';
catalog['Example solving x + 5 = 54'] = 'Beispiel zur L\u00f6sung von x + 5 = 54';
catalog['Example solving x/3 = 14'] = 'Beispiel zur L\u00f6sung von x/3 = 14';
catalog['Example using algebra to find measure of complementary angles'] = 'Example using algebra to find measure of complementary angles';
catalog['Example using algebra to find measure of supplementary angles'] = 'Example using algebra to find measure of supplementary angles';
catalog['Example using calculator to evaluate inverse tangent function'] = 'Example using calculator to evaluate inverse tangent function';
catalog['Example using orthogonal change-of-basis matrix to find transformation matrix'] = 'Example using orthogonal change-of-basis matrix to find transformation matrix';
catalog['Example using trig substitution (and trig identities) to solve an integral.'] = 'Example using trig substitution (and trig identities) to solve an integral.';
catalog['Example where the probability of an outcome is dependent on which coin you happen to pick'] = 'Beispiel, wo die Wahrscheinlichkeit eines Ergebnisses davon abh\u00e4ngig ist, welche M\u00fcnze du nimmst';
catalog['Example where we do substitution twice to get the integral into a reasonable form'] = 'Beispiel bei dem wir zweimal substituieren, um das Integral in eine angemessene Form zu bekommen';
catalog['Example with tangent and radius'] = 'Beispiel mit Tangente und Radius';
catalog['Example with trig functions and ratios'] = 'Beispiel mit trigonometrischen Funktionen und Verh\u00e4ltnissen';
catalog['Example:  Bag of unfair coins'] = 'Beispiel: Ein Beutel unfairer M\u00fcnzen';
catalog['Example:  Calculator to evaluate inverse trig function'] = 'Example:  Calculator to evaluate inverse trig function';
catalog['Example:  Different ways to pick officers'] = 'Example:  Different ways to pick officers';
catalog['Example:  Is an event independent or dependent?'] = 'Beispiel: Ist ein Ereignis unabh\u00e4ngig oder abh\u00e4ngig?';
catalog['Example:  Lottery probability'] = 'Beispiel: Lotto Wahrscheinlichkeit';
catalog['Example:  Picking a non-blue marble'] = 'Beispiel: Eine nicht-blaue Murmel w\u00e4hlen';
catalog['Example:  Rolling even three times'] = 'Beispiel: dreimal w\u00fcrfeln';
catalog['Example: 2-digit subtraction (no borrowing)'] = 'Beispiel: zweistellige Zahlen subtrahieren (ohne \u00dcbertrag)';
catalog['Example: 2-digit times 2-digit'] = 'Beispiel: 2-stellig mal 2-stellig';
catalog['Example: 9 card hands'] = 'Example: 9 card hands';
catalog['Example: Adding integers with different signs'] = 'Beispiel: Ganze Zahlen mit unterschiedlichen Vorzeichen addieren';
catalog['Example: Adding negative numbers'] = 'Beispiel: Negative Zahlen addieren';
catalog['Example: Adding polynomials with multiple variables'] = 'Beispiel: Addieren von Polynomen mit mehreren Variablen';
catalog['Example: Adding two digit numbers (no carrying)'] = 'Beispiel: zweistellige Zahlen addieren (ohne \u00dcbertrag)';
catalog['Example: All the ways you can flip a coin'] = 'Beispiel: Alle M\u00f6glichkeiten, wie du eine M\u00fcnze werfen kannst';
catalog['Example: Amplitude and period cosine transformations'] = 'Beispiel: Amplitude und Phase Cosinus Transformationen';
catalog['Example: Amplitude and period transformations'] = 'Beispiel: Amplitude und Phasenverschiebung';
catalog['Example: Amplitude and period'] = 'Beispiel: Amplitude und Periode';
catalog['Example: Basic grouping'] = 'Beispiel: Einfaches Ausklammern';
catalog['Example: Combinatorics and probability'] = 'Beispiel: Kombinatorik und Wahrscheinlichkeit';
catalog['Example: Complex roots for a quadratic'] = 'Beispiel: Komplexe L\u00f6sungen einer quadratischen Gleichung';
catalog['Example: Converting degrees to radians'] = 'Beispiel: Umwandeln von Grad in Bogenma\u00df';
catalog['Example: Converting radians to degrees'] = 'Beispiel: Umwandeln von Bogenma\u00df in Grad';
catalog['Example: Dependent probability'] = 'Beispiel: Abh\u00e4ngige Wahrscheinlichkeit';
catalog['Example: Dimensions of a garden'] = 'Beispiel: Abmessungen eines Gartens';
catalog['Example: Evaluate a formula using substitution'] = 'Beispiel: Auswertung einer Formel durch Substitution';
catalog['Example: Evaluating an expression'] = 'Beispiel: Die Auswertung eines Ausdrucks';
catalog['Example: Evaluating expressions with 2 variables'] = 'Beispiel: Terme mit zwei Variablen auswerten';
catalog['Example: Expressing division in multiple ways'] = 'Beispiel: Teilen auf verschiedene Arten ausdr\u00fccken';
catalog['Example: Factoring a fourth degree expression'] = 'Beispiel: Faktorisierung eines terms vierten Grades';
catalog['Example: Factoring perfect square trinomials'] = 'Beispiel: Faktorisierung von Quadratzahl Trinomen';
catalog['Example: Factoring special products'] = 'Beispiel: Faktorisierung von speziellen Produkten';
catalog['Example: Figure out the trig function'] = 'Beispiel: Zuordnung einer trigonometrischen Funktion';
catalog['Example: Finding mean, median and mode'] = 'Beispiel: Mittelwert, Median und Modus herausfinden';
catalog['Example: Getting two questions right on an exam'] = 'Beispiel: Zwei Fragen bei einer Pr\u00fcfung richtig beantworten';
catalog['Example: Graph of cosine'] = 'Beispiel: Graph des Kosinus';
catalog['Example: Graph, domain, and range of sine function'] = 'Beispiel: Graph, Definitions- und Wertebereich der Sinus-Funktion';
catalog['Example: Intersection of sine and cosine'] = 'Beispiel: Schnittpunkte zwischen Sinus und Kosinus';
catalog['Example: Marbles from a bag'] = 'Beispiel: Murmeln aus einem Beutel';
catalog['Example: Multiplying numbers with different signs'] = 'Beispiel: Multiplizieren von Zahlen mit unterschiedlichen Vorzeichen';
catalog['Example: Picking a yellow marble'] = 'Example: Picking a yellow marble';
catalog['Example: Probability of rolling doubles'] = 'Beispiel: Die Wahrscheinlichkeit 2 gleiche zu w\u00fcrfeln';
catalog['Example: Probability through counting outcomes'] = 'Beispiel: Wahrscheinlichkeit durch Z\u00e4hlen der Ergebnisse';
catalog['Example: Quadratics in standard form'] = 'Beispiel: quadratische Terme in Standardform';
catalog['Example: Radian measure and arc length'] = 'Example: Radian measure and arc length';
catalog['Example: Range and mid-range'] = '\u00dcbung: Spannweite und Mid-Range';
catalog['Example: Solving for a variable'] = 'Beispiel: L\u00f6sung f\u00fcr eine Variable';
catalog['Example: Solving simple quadratic'] = 'Beispiel: L\u00f6sen einfacher quadratischer Gleichungen';
catalog['Example: Trig function values using unit circle definition'] = 'Beispiel: Trigonometrische Funktionswerte unter Verwendung der Definition des Einheitskreises';
catalog['Example: Trig to solve the sides and angles of a right triangle'] = 'Beispiel: Trigonometrie um die Seiten und Winkel eines rechtwinkligen Dreiecks zu berechnen';
catalog['Example: Two-step equation  with x/4 term'] = 'Beispiel: Zweistufige Gleichung mit x/4 Term';
catalog['Example: Using soh cah toa'] = 'Beispiel: Verwenden von Sinus, Kosinus und Tangens';
catalog['Example: Using trig to solve for missing information'] = 'Beispiel: Verwenden von Trigonometrie um fehlende Informationen zu erhalten';
catalog['Example: Ways to arrange colors'] = 'Beispiel: M\u00f6glichkeiten zum Anordnen von Farben';
catalog['Example: Ways to pick officers'] = 'Example: Ways to pick officers';
catalog['Example: Ways to represent multiplication'] = 'Beispiel: M\u00f6glichkeiten der Darstellungen der Multiplikation';
catalog['Examples determining reasonable units'] = 'Beispiele zur Bestimmung von sinnvollen Einheiten';
catalog['Examples of accounting for GDP'] = 'Examples of accounting for GDP';
catalog['Examples of dividing negative fractions'] = 'Beispiele zu Division von negativen Br\u00fcchen';
catalog['Examples of evaluating variable expressions'] = 'Beispiele f\u00fcr die Auswertung von variablen Ausdr\u00fccken';
catalog['Examples of how to convert basic repeating decimals to fractions'] = 'Beispiele, wie einfache wiederholende Dezimalzahlen in Br\u00fcche umgewandelt werden k\u00f6nnen';
catalog['Examples of logarithms that evaluate to fractional and negative values.'] = 'Beispiele f\u00fcr Logarithmen, die Br\u00fcche und negative Werte untersuchen.';
catalog['Examples of one-step equations like ax = b and x + a = b'] = 'Beispiele f\u00fcr einstufige Gleichungen wie ax = b und x + a = b';
catalog['Examples of regrouping when adding three digit numbers'] = 'Beispiele f\u00fcr \u00dcbertrag beim Addieren von 3-stelligen Zahlen';
catalog['Examples of using definite integrals to find the area under a curve'] = 'Beispiele f\u00fcr die Verwendung von bestimmten Integrale um die Fl\u00e4che unter einer Kurve zu finden';
catalog['Examples of variables varying directly and inversely'] = 'Beispiele f\u00fcr Variablen die direkt und umgekehrt variieren';
catalog['Examples rounding to the nearest 10 and 100'] = 'Beispiele f\u00fcr das Runden auf den n\u00e4chsten Zehner und Hunderter';
catalog['Examples showing how various factors can affect interest rates'] = 'Examples showing how various factors can affect interest rates';
catalog['Examples using pythagorean identities to simplify trigonometric  expressions'] = 'Beispiele f\u00fcr die Verwendung des Pythagoras um trigonometrische Ausdr\u00fccke zu vereinfachen';
catalog['Examples with perpendicular lines and right, obtuse, acute triangles'] = 'Beispiele mit Normalen und rechtwinkeligen, stumpfwinkeligen, spitzwinkeligen Dreiecken';
catalog['Examples: Factoring simple quadratics'] = 'Beispiele: Faktorisierung von einfachen Quadratzahlen';
catalog['Examples: Graphing and interpreting quadratics'] = 'Beispiele: Grafische Darstellung und Interpretation von quadratischen Gleichungen';
catalog['Excavations led by teams of archaeologists in the nineteenth century hoped to find evidence for places and people in Homer\'s epic poems The Iliad and The Odyssey. They may not have discovered what they sought, but along the way, they made remarkable discoveries. The tutorial covers the art of the Cycladic Islands, and the Island of Crete (Minoan), and of Mainland Greece (Mycenaean).'] = 'Excavations led by teams of archaeologists in the nineteenth century hoped to find evidence for places and people in Homer\'s epic poems The Iliad and The Odyssey. They may not have discovered what they sought, but along the way, they made remarkable discoveries. The tutorial covers the art of the Cycladic Islands, and the Island of Crete (Minoan), and of Mainland Greece (Mycenaean).';
catalog['Exchange multiplies, markets grow, and fossil fuels flow, revolutionizing government and industry.<br>'] = 'Exchange multiplies, markets grow, and fossil fuels flow, revolutionizing government and industry.<br>';
catalog['Exchange traded funds (ETFs)'] = 'Exchange traded funds (ETFs)';
catalog['Exekias,  Dionysos Kylix, c. 530 B.C.E. (Antikensammlungen, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris'] = 'Exekias,  Dionysos Kylix, c. 530 B.C.E. (Antikensammlungen, Munich)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris';
catalog['Exercise ID not recognized'] = 'Exercise ID not recognized';
catalog['Exercise available at https://www.khanacademy.org/math/calculus/differential-calculus/derivative_intro/e/visualizing_derivatives\n\nExercise made by Stephanie Chang'] = '\u00dcbung abrufbar unter https://www.khanacademy.org/math/calculus/differential-calculus/derivative_intro/e/visualizing_derivatives \n\n\u00dcbung von Stephanie Chang';
catalog['Exercise points'] = 'Exercise points';
catalog['Exercise progress not saved.'] = 'Exercise progress not saved.';
catalog['Exercise'] = '\u00dcbung';
catalog['Exercise: Write a Fibonacci function'] = '\u00dcbung: Schreibe eine Fibonacci-Funktion';
catalog['Exercise: Write a sorting function'] = '\u00dcbung: Schreibe eine Sortierfunktion';
catalog['Exercises Completed'] = 'Exercises Completed';
catalog['Exercises'] = '\u00dcbungen';
catalog['Expanding out a decimal by place value'] = 'Eine Dezimalzahl auf ihre Stellenwerte zerlegen';
catalog['Expansion meant the addition of new territories, resources, and people.<br>'] = 'Expansion meant the addition of new territories, resources, and people.<br>';
catalog['Expected profit from lottery ticket'] = 'Expected profit from lottery ticket';
catalog['Expected value of a binomial distributed random variable'] = 'Erwartungswert einer binomial verteilten Zufallsvariabel';
catalog['Expected value of binomial distribution'] = 'Erwartungswert der Binomialverteilung';
catalog['Expected value while fishing'] = 'Expected value while fishing';
catalog['Expected value with calculated probabilities'] = 'Expected value with calculated probabilities';
catalog['Expected value with empirical probabilities'] = 'Expected value with empirical probabilities';
catalog['Expected value'] = 'Erwartungswert';
catalog['Expensing a truck leads to inconsistent performance'] = 'Expensing a truck leads to inconsistent performance';
catalog['Expensing a truck leads to strange looking income statement'] = 'Expensing a truck leads to strange looking income statement';
catalog['Experimenting and seeing what we can do with strings'] = 'Experimenting and seeing what we can do with strings';
catalog['Experimenting with a strong acid as electrolyte and observing the change in deflection compared to weak acid (vinegar)'] = 'Experimenting with a strong acid as electrolyte and observing the change in deflection compared to weak acid (vinegar)';
catalog['Explain a proof of the Pythagorean Theorem and its converse.'] = 'Explain a proof of the Pythagorean Theorem and its converse.';
catalog['Explain why addition and subtraction strategies work, using place value and the properties of operations.'] = 'Explain why addition and subtraction strategies work, using place value and the properties of operations.';
catalog['Explanation of the phases of mitosis.'] = 'Erkl\u00e4rung der mitotischen Phasen.';
catalog['Explicit and recursive definitions of sequences'] = 'Explizite und rekursive Definitionen von Folgen';
catalog['Explicitly defining a series'] = 'Explizites Definieren einer Reihe';
catalog['Exploratorium'] = 'Exploratorium';
catalog['Explore Buddhism through clips of significant sites in South Asia and interviews with members of the Bay Area South Asian community.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/introduction-buddhism">Learn more about Buddhism</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'Explore Buddhism through clips of significant sites in South Asia and interviews with members of the Bay Area South Asian community.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/introduction-buddhism">Learn more about Buddhism</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['Explore Hinduism through clips of significant sites in South Asia and interviews with members of the Bay Area South Asian community.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/beliefs-hinduism">Learn more about Hinduism</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'Explore Hinduism through clips of significant sites in South Asia and interviews with members of the Bay Area South Asian community.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/beliefs-hinduism">Learn more about Hinduism</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['Explore Nara&#39;s ancient Buddhist art and architecture.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/introduction-buddhism-japan">Learn more about Buddhism in Japan</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'Explore Nara&#39;s ancient Buddhist art and architecture.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/introduction-buddhism-japan">Learn more about Buddhism in Japan</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['Explore articles and interviews about the math prep to do for college, getting ready to study for your exams, and how to use KA to prep.'] = 'Explore articles and interviews about the math prep to do for college, getting ready to study for your exams, and how to use KA to prep.';
catalog['Explore climate change on a geologic time scale, and consider recent human impacts on climate and the atmosphere.<br>'] = 'Explore climate change on a geologic time scale, and consider recent human impacts on climate and the atmosphere.<br>';
catalog['Explore how life is found almost everywhere on Earth, but is not distributed evenly. And learn why the clumped distributions of species are the result of a wide variety of both natural and human-driven factors.'] = 'Explore how life is found almost everywhere on Earth, but is not distributed evenly. And learn why the clumped distributions of species are the result of a wide variety of both natural and human-driven factors.';
catalog['Explore how we have hidden secret messages through history.'] = 'Entdecken Sie, wie wir geheime Nachrichten in der Vergangenheit verborgen haben.';
catalog['Explore one of Frank Lloyd Wright&rsquo;s most important but least known commissions.&nbsp;To learn about other great moments in modern art, take our online course, <a href="http://www.moma.org/learn/courses/online#course5">Modern Art, 1880-1945</a>.'] = 'Explore one of Frank Lloyd Wright&rsquo;s most important but least known commissions.&nbsp;To learn about other great moments in modern art, take our online course, <a href="http://www.moma.org/learn/courses/online#course5">Modern Art, 1880-1945</a>.';
catalog['Explore our ability to sense the environment through our body. &nbsp;By Ron.<br>'] = 'Explore our ability to sense the environment through our body. &nbsp;By Ron.<br>';
catalog['Explore our senses of pain &amp; temperature. &nbsp;By Ron.<br>'] = 'Explore our senses of pain &amp; temperature. &nbsp;By Ron.<br>';
catalog['Explore quadratics and higher degree polynomials with these exponentially awesome functions!'] = 'Explore quadratics and higher degree polynomials with these exponentially awesome functions!';
catalog['Explore some fundamental activities of a cell, which include both constructing and taking apart important molecules that store energy.  \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Explore some fundamental activities of a cell, which include both constructing and taking apart important molecules that store energy.  \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Explore the <em>Apollo Saettante</em>, a bronze sculpture buried by the eruption of Mt. Vesuvius in 79 C.E.&nbsp;Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Explore the <em>Apollo Saettante</em>, a bronze sculpture buried by the eruption of Mt. Vesuvius in 79 C.E.&nbsp;Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Explore the KA Missions & Brush Up resources designed to help you prepare for college math.'] = 'Explore the KA Missions & Brush Up resources designed to help you prepare for college math.';
catalog['Explore the Universe before and after the birth of stars and study the extraordinary process of star formation.<br>'] = 'Explore the Universe before and after the birth of stars and study the extraordinary process of star formation.<br>';
catalog['Explore the choices you have to make around your software, hardware, and facilities and how to make sure they support your educational model'] = 'Explore the choices you have to make around your software, hardware, and facilities and how to make sure they support your educational model';
catalog['Explore the complex veils of color that form Mark Rothko\'s abstract paintings. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.'] = 'Explore the complex veils of color that form Mark Rothko\'s abstract paintings. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.';
catalog['Explore the greatest problems we have faced from prehistoric through modern times.'] = 'Erforsche die wichtigsten Projekte von der Pr\u00e4historie bis heute.';
catalog['Explore the history of communication from signal fires to the Information Age'] = 'Erkunde die Geschichte der Kommunikation vom Rauchzeichen bis zum Informationszeitalter';
catalog['Explore the power of abstraction through Mark Rothko\'s luminous and introspective paintings. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.'] = 'Explore the power of abstraction through Mark Rothko\'s luminous and introspective paintings. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.';
catalog['Explore the relationship between partial pressure of a gas and the concentration of the gas molecule within a liquid.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Explore the relationship between partial pressure of a gas and the concentration of the gas molecule within a liquid.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Explore why we do the same things to both sides of an equation'] = 'Erkunden Sie, warum wir das gleiche auf beiden Seiten einer Gleichung tun';
catalog['Exploring a motivation for even defining hyperbolic sine and cosine'] = 'Exploring a motivation for even defining hyperbolic sine and cosine';
catalog['Exploring a world where both sides aren\'t equal anymore!'] = 'Eine Welt erkunden, in der beide Seiten nicht mehr gleich sind!';
catalog['Exploring angle pairs'] = 'Winkelpaare bestimmen';
catalog['Exploring angle-preserving transformations and similarity'] = 'Erkundung von winkelerhaltenden Transformationen und \u00c4hnlichkeit';
catalog['Exploring linear relationships'] = 'Entdecken linearer Beziehungen';
catalog['Exploring materials which cause a decrease in deflection when added in series with our meter.'] = 'Exploring materials which cause a decrease in deflection when added in series with our meter.';
catalog['Exploring mean and median module'] = 'Erkundung des Moduls "Durchschnitt und Median"';
catalog['Exploring mean and median'] = 'Durchschnitt und Medianwert entdecken';
catalog['Exploring medial triangles'] = 'Exploring medial triangles';
catalog['Exploring quadratics and higher degree polynomials.  Also in-depth look at rational functions.'] = 'Erkunden von quadratischen Gleichungen, Polynomen h\u00f6heren Grades und ein tiefer Einblick in rationale Funktionen.';
catalog['Exploring rigid transformations and congruence'] = 'Starre Transformationen und Kongruenz';
catalog['Exploring rigid transformations'] = 'Untersuchen von starren Transformationen';
catalog['Exploring standard deviation 1 module'] = 'Standardabweichung  Modul 1 erkunden';
catalog['Exploring standard deviation 1'] = 'Standardabweichung entdecken 1';
catalog['Exploring the Universe'] = 'Exploring the Universe';
catalog['Exploring the actual weightings for the CPI-U basket of goods'] = 'Exploring the actual weightings for the CPI-U basket of goods';
catalog['Exploring the effect of a permanent magnet on compass. What is going on?'] = 'Exploring the effect of a permanent magnet on compass. What is going on?';
catalog['Exploring the normal distribution'] = 'Die Normalverteilung erkunden';
catalog['Exploring the solution set of Ax = b'] = 'Exploring the solution set of Ax = b';
catalog['Exploring the solution set of Ax=b (non homogeneous equations)'] = 'Exploring the solution set of Ax=b (non homogeneous equations)';
catalog['Exploring what happens to a subset of the domain under a transformation'] = 'Exploring what happens to a subset of the domain under a transformation';
catalog['Exponent Properties 2'] = 'Eigenschaften von Exponenten 2';
catalog['Exponent Properties 3'] = 'Eigenschaften von Exponenten 3';
catalog['Exponent Properties 4'] = 'Eigenschaften von Exponenten 4';
catalog['Exponent Properties 5'] = 'Eigenschaften von Exponenten 5';
catalog['Exponent Properties 6'] = 'Eigenschaften von Exponenten 6';
catalog['Exponent Properties 7'] = 'Eigenschaften von Exponenten 7';
catalog['Exponent Properties Involving Products'] = 'Eigenschaft von Exponenten bei Multiplikation';
catalog['Exponent Properties Involving Quotients'] = 'Eigenschaft von Exponenten bei Division';
catalog['Exponent example 1'] = 'Exponent Beispiel 1';
catalog['Exponent example 2'] = 'Exponent Beispiel 2';
catalog['Exponent expressions and equations'] = 'Terme und Gleichungen mit Exponenten';
catalog['Exponent properties 1'] = 'Eigenschaften von Exponenten 1';
catalog['Exponent properties 2'] = 'Eigenschaften von Exponenten 2';
catalog['Exponent properties 3'] = 'Eigenschaften von Exponenten 3';
catalog['Exponent properties 4'] = 'Eigenschaften von Exponenten 4';
catalog['Exponent properties 5'] = 'Eigenschaften von Exponenten 5';
catalog['Exponent properties 6'] = 'Eigenschaften von Exponenten 6';
catalog['Exponent properties 7'] = 'Eigenschaften von Exponenten 7';
catalog['Exponent properties examples with variables'] = 'Beispiele mit Variablen zu Potenzgesetzen';
catalog['Exponent properties involving products'] = 'Eigenschaft von Exponenten bei Multiplikation';
catalog['Exponent properties involving quotients'] = 'Eigenschaft von Exponenten bei Division';
catalog['Exponent properties'] = 'Potenzgesetze';
catalog['Exponent rules part 1'] = 'Rechenregeln von Exponenten - Teil 1';
catalog['Exponent rules part 2'] = 'Rechenregeln von Exponenten - Teil 2';
catalog['Exponent rules'] = 'Exponentenregeln';
catalog['Exponential Growth Functions'] = 'Exponentielle Wachstumsfunktionen';
catalog['Exponential and logarithmic functions'] = 'Exponential- und Logarithmusfunktionen';
catalog['Exponential decay formula proof (can skip, involves calculus)'] = 'Exponential decay formula proof (can skip, involves calculus)';
catalog['Exponential form of complex numbers'] = 'Exponentialform von komplexen Zahlen';
catalog['Exponential form to find complex roots'] = 'Exponentielle Form um komplexe Wurzeln zu finden';
catalog['Exponential growth and decay word problems'] = 'Exponentielles Wachstum und Verfall - Textaufgaben';
catalog['Exponential growth and decay'] = 'Exponentielles Wachstum und Verfall';
catalog['Exponential growth functions'] = 'Exponentielle Wachstumsfunktionen';
catalog['Exponentiation warmup'] = 'Exponentiation warmup';
catalog['Exponents can be viewed as repeated multiplication.  Now that we know how to multiply negative numbers, we can multiply them repeatedly with exponents!'] = 'Exponenten k\u00f6nnen als wiederholte Multiplikation angesehen werden.  Jetzt, da wir wissen, wie man negative Zahlen multipliziert, k\u00f6nnen wir sie immer wieder mit Exponenten multiplizieren!';
catalog['Exponents with negative bases'] = 'Exponenten mit negativen Basen';
catalog['Exponents'] = 'Exponenten';
catalog['Exponents, radicals and scientific notation'] = 'Exponents, radicals and scientific notation';
catalog['Exponents, radicals, and scientific notation'] = 'Exponenten, Wurzeln und wissenschaftliche Schreibweise';
catalog['Export to CSV'] = 'Export to CSV';
catalog['Express a number in scientific notation.'] = 'Schreibe eine Zahl in wissenschaftlicher Schreibweise.';
catalog['Express a product or quotient in scientific notation.'] = 'Schreibe ein Produkt oder ein Quotient in wissenschaftlicher Schreibweise.';
catalog['Express radicals in simplest form.'] = 'Wurzeln in der am meisten vereinfachten Form ausdr\u00fccken.';
catalog['Expressing a Projection on to a line as a Matrix Vector prod'] = 'Expressing a Projection on to a line as a Matrix Vector prod';
catalog['Expressing a projection on to a line as a matrix vector prod'] = 'Expressing a projection on to a line as a matrix vector prod';
catalog['Expressing a vector as the scaled sum of unit vectors'] = 'Expressing a vector as the scaled sum of unit vectors';
catalog['Expression for combined area of triangle and square'] = 'Expression for combined area of triangle and square';
catalog['Expression terms, factors and coefficients'] = 'Begriffe Term, Faktoren und Koeffizienten';
catalog['Expressionism'] = 'Expressionism';
catalog['Expressions and patterns'] = 'Ausdr\u00fccke und Muster';
catalog['Expressions with parentheses'] = 'Klammerausdr\u00fccke';
catalog['Expressions with rational numbers'] = 'Ausdr\u00fccke mit rationalen Zahlen';
catalog['Expressions with two variables'] = 'Gleichungen mit zwei Unbekannten';
catalog['Expressions with unknown variables 2'] = 'Ausdr\u00fccke mit unbekannten Variablen 2';
catalog['Expressions with unknown variables'] = 'Ausdr\u00fccke mit unbekannten Variablen';
catalog['Extending SOH CAH TOA so that we can define trig functions for a broader class of angles'] = 'SOH-CAH-TOA erweitern, so dass wir trigonometrische Funktionen f\u00fcr eine gr\u00f6\u00dfere Klasse von Winkeln definieren k\u00f6nnen';
catalog['Extending our understanding of numbers below 0.  Thinking about "absolute" distance from 0.'] = 'Erweiterung unseres Verst\u00e4ndnisses der Zahlen unter 0. Betrachtungen \u00fcber die "absolute" Entfernung von 0.';
catalog['Extending the path counting to three dimensions'] = 'Extending the path counting to three dimensions';
catalog['Extractions'] = 'Extractions';
catalog['Extraneous Solutions to Radical Equations'] = '\u00c4u\u00dfere L\u00f6sungen zu Wurzelgleichungen';
catalog['Extraneous Solutions to Rational Equations'] = '\u00c4u\u00dfere L\u00f6sungen f\u00fcr rationale Gleichungen';
catalog['Extraneous solutions to radical equations'] = '\u00c4u\u00dfere L\u00f6sungen zu Wurzelgleichungen';
catalog['Extraneous solutions to rational equations'] = '\u00c4u\u00dfere L\u00f6sungen f\u00fcr rationale Gleichungen';
catalog['Extrapulmonary TB (Part 2)'] = 'Extrapulmonary TB (Part 2)';
catalog['Extrapulmonary TB (part 1)'] = 'Extrapulmonary TB (part 1)';
catalog['Extreme derivative word problem (advanced)'] = 'Extreme Textaufgabe f\u00fcr Ableitungen (f\u00fcr Fortgeschrittene)';
catalog['Extreme examples of price elasticity of demand'] = 'Extreme Beispiele der Preiselastizit\u00e4t der Nachfrage';
catalog['Extreme value theorem and the closed interval method.'] = 'Extreme value theorem and the closed interval method.';
catalog['Extreme value theorem'] = 'Extreme value theorem';
catalog['Extreme values from graphs'] = 'Extrema von Funktionsgraphen';
catalog['FAQ'] = 'FAQ';
catalog['FICA tax'] = 'FICA tax';
catalog['FOIL for multiplying binomials'] = 'Folie f\u00fcr Binome multiplizieren';
catalog['FOIL method for multiplying binomials example 2'] = 'Folien-Methode f\u00fcr die Multiplikation von Binomen Beispiel 2';
catalog['FOIL method for multiplying binomials'] = '"Jeder gr\u00fc\u00dft jeden"- Regel zum Ausmultiplizieren von Binomen';
catalog['FRB commentary 2: Deposit insurance'] = 'FRB commentary 2: Deposit insurance';
catalog['FRB commentary 3: Big picture'] = 'FRB commentary 3: Big picture';
catalog['Facilities'] = 'Einrichtungen';
catalog['Facility Add / Update'] = 'Facility Add / Update';
catalog['Facility Name'] = 'Facility Name';
catalog['Facility Usage'] = 'Facility Usage';
catalog['Facility'] = 'Einrichtung';
catalog['Facility: '] = 'Einrichtung: ';
catalog['Factor a polynomial with two variables into expressions'] = 'Faktorisiere ein Polynom mit zwei Variablen in Ausdr\u00fccken';
catalog['Factor by Grouping and Factoring Completely'] = 'Faktorisieren durch Ausklammern (Gruppieren) und Umformung';
catalog['Factor by grouping and factoring completely'] = 'Faktorisieren durch Ausklammern (Gruppieren) und Umformung';
catalog['Factor expressions like 3x-9'] = 'Ausdr\u00fccke wie 3x-9 faktorisieren';
catalog['Factor expressions using the GCF'] = 'Faktor-Ausdr\u00fccke, unter Verwendung der GCF';
catalog['Factor polynomials by grouping'] = 'Polynome durch Gruppieren faktorisieren';
catalog['Factor quadratics that are not perfect squares, where the leading coefficient is not 1'] = 'Faktorisiere quadratische Terme nach der dritten binomischen Formel, wenn der f\u00fchrende Koeffizient ungleich 1 ist';
catalog['Factor quadratics to find the x-intercepts. Solve a polynomial by factoring.'] = 'Faktorisiere die Quadrate, um die Schnittpunkte mit der X-Achse zu finden. L\u00f6se ein Polynom durch Faktorenzerlegung.';
catalog['Factor quadratics&nbsp;that are not perfect squares, where the leading coefficient is 1.'] = 'Faktorisierung von Quadratfunktionen&nbsp, die keine perfekten Quadratzahlen haben und einen f\u00fchrenden Koeffizienten von 1 haben.';
catalog['Factoring 5th degree polynomial to find real zeros'] = 'Factoring 5th degree polynomial to find real zeros';
catalog['Factoring Quadratic Expressions'] = 'Quadratische Terme in Faktoren zerlegen';
catalog['Factoring Special Products 1'] = 'Spezielle Produkte faktorisieren 1';
catalog['Factoring Special Products 2'] = 'Spezielle Produkte faktorisieren';
catalog['Factoring Special Products'] = 'Spezielle Produkte faktorisieren';
catalog['Factoring Sum of Cubes'] = 'Faktorisierung der Summe von W\u00fcrfeln';
catalog['Factoring Trinomials by Grouping 1'] = 'Faktorisierung von Trinomen durch Ausklammern 1';
catalog['Factoring Trinomials by Grouping 4'] = 'Faktorisierung von Trinomen durch Ausklammern 4';
catalog['Factoring Trinomials by Grouping 5'] = 'Faktorisierung von Trinomen durch Ausklammern 5';
catalog['Factoring Trinomials by Grouping 6'] = 'Faktorisierung von Trinomen durch Ausklammern 6';
catalog['Factoring a difference of squares in the format C(Ax+b)*(Ax-b)'] = 'Faktorisieren einer Differenz von Quadraten in die Form C(Ax+b)*(Ax-b)';
catalog['Factoring a linear expression with rational terms'] = 'einen linearen Ausdruck mit rationalen Termen in Faktoren zerlegen';
catalog['Factoring and roots of higher degree polynomials'] = 'Zerlegung und Wurzeln von Polynomen h\u00f6herer Grade';
catalog['Factoring and the Distributive Property 2'] = 'Faktorzerlegung und das Distributivgesetz 2';
catalog['Factoring and the Distributive Property 3'] = 'Faktorzerlegung und das Distributivgesetz 3';
catalog['Factoring and the Distributive Property'] = 'Faktorisierung und das Distributivgesetz';
catalog['Factoring and the distributive property 2'] = 'Faktorzerlegung und das Distributivgesetz 2';
catalog['Factoring and the distributive property 3'] = 'Faktorzerlegung und das Distributivgesetz 3';
catalog['Factoring and the distributive property'] = 'Faktorisierung und das Distributivgesetz';
catalog['Factoring by grouping is probably the one thing that most people never really learn well.  Your fate doesn\'t have to be the same.  In this tutorial, you\'ll see how factoring by grouping can be used to factor a quadratic expression where the coefficient on the x^2 term is something other than 1?    '] = 'Faktorisieren durch Gruppieren ist vermutlich etwas, dass die meisten Menschen nie wirklich richtig lernen. Dein Schicksal muss nicht dasselbe sein. In diesem Tutorial lernst du, wie du das Faktorisieren durch Gruppieren nutzen kannst, um eine quadratische Gleichung zu faktorisieren, wenn der Koeffizient des x^2-Terms etwas anderes als 1 ist.\u00a0\u00a0\u00a0\u00a0';
catalog['Factoring by grouping'] = 'Faktorisieren durch Gruppieren';
catalog['Factoring difference of squares 1'] = 'Differenzen von Quadraten in Faktoren zerlegen Teil I';
catalog['Factoring difference of squares 2'] = 'Differenz von Quadraten faktorisieren 2';
catalog['Factoring difference of squares 3'] = 'Differenz von Quadraten faktorisieren 3';
catalog['Factoring difference of squares'] = 'DIfferenzen von Quadraten in Faktoren zerlegen';
catalog['Factoring differences of squares into the form (Ax+b)*(Ax-b)'] = 'Faktorisiere die Differenz von Quadraten in die Form  (Ax+b)*(Ax-b)';
catalog['Factoring differences of squares into the form (x+b)*(x-b)'] = 'Faktorisiere die Differenz von Quadraten in die Form (x+b)*(x-b)';
catalog['Factoring in appreciation and depreciation into the rent vs. buy decision.'] = 'Factoring in appreciation and depreciation into the rent vs. buy decision.';
catalog['Factoring in external benefits'] = 'Externe Leistungen miteinbeziehen';
catalog['Factoring linear binomials'] = 'Faktorisieren von linearen Binomen';
catalog['Factoring perfect square trinomials'] = 'Faktorisierung von Quadratzahl Trinomen';
catalog['Factoring polynomials by grouping'] = 'Polynome durch Umgruppieren faktorisieren';
catalog['Factoring polynomials with two variables'] = 'faktoriere das Polynom mit zwei Variablen';
catalog['Factoring quadratic expressions'] = 'Quadratische Gleichungen faktorisieren';
catalog['Factoring quadratics 1'] = 'Quadrate faktorieren 1';
catalog['Factoring quadratics 2'] = 'Quadratische Gleichungen ausklammern 2';
catalog['Factoring quadratics are now second nature to you.  Even when traditional factoring is difficult, you know about completing the square and the quadratic formula.  Now you\'re ready for something more interesting.  Well, as you\'ll see in this tutorial, factoring higher degree polynomials is definitely the challenge you\'re looking for!'] = 'Factoring quadratics are now second nature to you.  Even when traditional factoring is difficult, you know about completing the square and the quadratic formula.  Now you\'re ready for something more interesting.  Well, as you\'ll see in this tutorial, factoring higher degree polynomials is definitely the challenge you\'re looking for!';
catalog['Factoring quadratics in two variables'] = 'Quadratische Gleichungen in zwei Variablen faktorisieren';
catalog['Factoring quadratics with two variables example'] = 'Faktorisierung von Quadratzahlen mit zwei Variablen: Beispiel';
catalog['Factoring quadratics with two variables'] = 'Quadratische Gleichungen mit zwei Variablen faktorisieren';
catalog['Factoring quadratics'] = 'Quadrate faktorieren';
catalog['Factoring simple expressions'] = 'Einfache Ausdr\u00fccke faktorisieren';
catalog['Factoring simple quadratic expressions'] = 'Zerlegung einfacher quadratischer Ausdr\u00fccke';
catalog['Factoring special products'] = 'Spezielle Produkte faktorisieren';
catalog['Factoring sum of cubes'] = 'Factoring sum of cubes';
catalog['Factoring sum of squares'] = 'Factoring sum of squares';
catalog['Factoring to produce difference of squares'] = 'Faktorenzerlegung, um eine Differenz von Quadraten zu erhalten';
catalog['Factoring trinomials with a common factor'] = 'Faktorisierung von Trinomen mit einem gemeinsamen Teiler';
catalog['Factoring trinomials with a leading 1 coefficient'] = 'Faktorisierung von Trinomen bei dem der Vorfaktor des ersten Koeffizients gleich 1 ist';
catalog['Factoring trinomials with a non-1 leading coefficient by grouping'] = 'Faktorisierung von Trinomen mit einem nicht-1 f\u00fchrenden Koeffizienten durch Gruppierung';
catalog['Factoring using imaginary numbers'] = 'Factoring using imaginary numbers';
catalog['Factors affecting supply'] = 'Factors affecting supply';
catalog['Factors and multiples'] = 'Faktoren und Vielfache';
catalog['Factors that might shift aggregate demand'] = 'Factors that might shift aggregate demand';
catalog['Factors, multiples and patterns'] = 'Faktoren, Vielfache und Muster';
catalog['Fair value accounting'] = 'Fair value accounting';
catalog['Fall of Rome the Roman Empire... in the 15th Century'] = 'Der Fall Roms und des r\u00f6mischen Reiches... im 15. Jahrhundert';
catalog['Falling ladder related rates'] = 'Falling ladder related rates';
catalog['Familiarize yourself with rotation sensor. Build a volume knob'] = 'Familiarize yourself with rotation sensor. Build a volume knob';
catalog['Fancier logarithm expressions'] = 'Ausdr\u00fccke mit dem Fancier Logarithmus';
catalog['Fancy algebra to find a limit and make a function continuous'] = 'Fancy algebra to find a limit and make a function continuous';
catalog['Fancy multiplication and division word problems'] = 'ausgefallene Textaufgaben zur Multiplikation und Division';
catalog['Fantasy game outcomes'] = 'Fantasy Game Ergebnis';
catalog['Fareed Zakaria talks about Khan Academy on CNN GPS'] = 'Fareed Zakaria spricht \u00fcber die Khan Academy auf CNN GPS';
catalog['Farenheit and Celsius conversion'] = 'Umrechnung zwischen Grad Celsius und Grad Farenheit';
catalog['Farenheit and Celsius unit conversion'] = 'Umrechnung zwischen Grad Celsius und Grad Farenheit';
catalog['Fascism and Mussolini'] = 'Fascism and Mussolini';
catalog['Fashion designer Jonathan Saunders staged his spring/summer collection 2014 at Tate Britain, inspired by the grandeur of its neo-classical architecture, as well as by the art within its walls. Walking through the galleries he chose a favourite sculpture by Anthony Caro, <em>Early One Morning</em>, to explore the relationship between form, colour and structure, and how this relates to his own work with textiles.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.'] = 'Fashion designer Jonathan Saunders staged his spring/summer collection 2014 at Tate Britain, inspired by the grandeur of its neo-classical architecture, as well as by the art within its walls. Walking through the galleries he chose a favourite sculpture by Anthony Caro, <em>Early One Morning</em>, to explore the relationship between form, colour and structure, and how this relates to his own work with textiles.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.';
catalog['Fashion meets art - Jonathan Saunders inspired by Anthony Caro'] = 'Fashion meets art - Jonathan Saunders inspired by Anthony Caro';
catalog['Fashion meets art - Lulu Guinness inspired by Bill Brandt'] = 'Fashion meets art - Lulu Guinness inspired by Bill Brandt';
catalog['Fashion meets art - Preen inspired by David Hockney'] = 'Fashion meets art - Preen inspired by David Hockney';
catalog['Feature detection and parallel processing'] = 'Feature detection and parallel processing';
catalog['Features of trigonometric functions'] = 'Merkmale von trigonometrischen Funktionen';
catalog['Fed Open Market Operations'] = 'Fed Open Market Operations';
catalog['Fed open market operations'] = 'Fed open market operations';
catalog['Federal Reserve balance sheet'] = 'Federal Reserve balance sheet';
catalog['Federal reserve (central banks)'] = 'Federal Reserve (Zentralbanken)';
catalog['Feel that Cartesian coordinates are too "square".  That they bias us towards lines and away from cool spirally things.  Well polar coordinates be just what you need!'] = 'Begreife, dass kartesische Koordinaten zu "quadratisch" sind. Dass sie uns auf Linien ausrichten und wegbringen von coolen spiralf\u00f6rmigen Sachen.\nTja, da sind Polarkoordinaten das richtige f\u00fcr dich!';
catalog['Feeling constrained by traditional long division?  Want to impress your friends, family and even your enemies?  Well, partial quotient division may be for you (or it might not).  This very optional tutorial will show you that there are many ways to slice a walnut (just made up that colloquialism).'] = 'F\u00fchlen Sie sich eingeschr\u00e4nkt durch die traditionelle Division?  M\u00f6chten Sie Ihre Freunde, Familie und sogar Ihre Feinde beeindrucken?  Nun, die Teil-Quotienten Division kann f\u00fcr Sie das Richtige sein (oder auch nicht).  Dieses v\u00f6llig optionale Tutorial wird Ihnen zeigen, es gibt viele M\u00f6glichkeiten, um eine Walnuss (gerade gebildete Redewendung) in Scheiben schneiden.';
catalog['Feininger, Cathedral for the Bauhaus'] = 'Feininger, Cathedral for the Bauhaus';
catalog['Fermat primality test'] = 'Fermatscher Primzahltest';
catalog['Fermat\'s little theorem'] = 'Kleiner fermatscher Satz';
catalog['Fernand Khnopff,  I Lock My Door Upon Myself, 1891 (Neue Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Fernand Khnopff,  I Lock My Door Upon Myself, 1891 (Neue Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Fernand Khnopff,  Jeanne K\u00e9fer, oil on canvas, 1885 (The Getty Center, Los Angeles)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Fernand Khnopff,  Jeanne K\u00e9fer, oil on canvas, 1885 (The Getty Center, Los Angeles)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Fernand L\u00e9ger, "Contrast of Forms"'] = 'Fernand L\u00e9ger, "Contrast of Forms"';
catalog['Ferocious but cute sea monster'] = 'Ferocious but cute sea monster';
catalog['Fetal Circulation'] = 'Fetaler Kreislauf';
catalog['Fetal circulation right before birth'] = 'Fetal circulation right before birth';
catalog['Fetal circulation'] = 'Fetal circulation';
catalog['Fetal hemoglobin and hematocrit'] = 'Fetal hemoglobin and hematocrit';
catalog['Fetal structures in an adult'] = 'Fetal structures in an adult';
catalog['Few people are aware that the name Korea is derived from the name of the Goryeo (previously transliterated as Koryo) dynasty. It was during this period (918\u20131392) that Korea became known to the world outside East Asia. '] = 'Few people are aware that the name Korea is derived from the name of the Goryeo (previously transliterated as Koryo) dynasty. It was during this period (918\u20131392) that Korea became known to the world outside East Asia. ';
catalog['Fick\'s law of diffusion'] = 'Fick\u00b4sches Diffusionsgesetz';
catalog['Field Methods for Documenting Biodiversity'] = 'Field Methods for Documenting Biodiversity';
catalog['Figure out how all of those physiology terms: end-systolic, end-diastolic, pulse pressure, stroke volume, and ejection fraction, can be easily figured out using the pressure-volume loop.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Figure out how all of those physiology terms: end-systolic, end-diastolic, pulse pressure, stroke volume, and ejection fraction, can be easily figured out using the pressure-volume loop.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Figure out how to calculate an equivalent and how it relates to a mole.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Figure out how to calculate an equivalent and how it relates to a mole.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Figure out how to interpret the units in common medical labs including the CBC, Chem 10, and LFTs.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Figure out how to interpret the units in common medical labs including the CBC, Chem 10, and LFTs.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Figure out the difference between "salt" and "sodium" and how much salt is recommended on a low sodium diet.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Figure out the difference between "salt" and "sodium" and how much salt is recommended on a low sodium diet.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.'] = 'Figuring grams of reactants and product produced from reaction of phosphorous and chlorine.';
catalog['Figuring how long it takes an a380 to take off given a constant acceleration'] = 'Figuring how long it takes an a380 to take off given a constant acceleration';
catalog['Figuring out Usain Bolt\'s average speed over 100m when he broke the world record in 2009'] = 'Usain Bolts Durchschnittsgeschwindigkeit \u00fcber 100m herausfinden, als er 2009 den Weltrekord gebrochen hat';
catalog['Figuring out a normal vector to a plane from its equation'] = 'Den Normalenvektor einer Ebene aus seiner Gleichung herauszufinden';
catalog['Figuring out a parameterization of our surface and representing dS'] = 'Figuring out a parameterization of our surface and representing dS';
catalog['Figuring out a unit normal vector at any point along a curve defined by a position vector function'] = 'Figuring out a unit normal vector at any point along a curve defined by a position vector function';
catalog['Figuring out all the angles for congruent triangles example'] = 'Figuring out all the angles for congruent triangles example';
catalog['Figuring out angles at the intersection of two lines'] = 'Figuring out angles at the intersection of two lines';
catalog['Figuring out angles between transversal and parallel lines'] = 'Winkel zwischen der Transversale und parallelen Geraden herausfinden';
catalog['Figuring out angles in a triangle.  A little about exterior angles being the sum of the remote interior angles'] = 'Winkel in einem Dreieck herausfinden.  Etwas \u00fcber \u00e4u\u00dfere Winkel, die die Summe der entlegenen Innenwinkel sind';
catalog['Figuring out configurations for the d-block elements'] = 'Konfigurationen f\u00fcr die d-Block-Elemente herausfinden';
catalog['Figuring out coordinate of bended figure using trig'] = 'Figuring out coordinate of bended figure using trig';
catalog['Figuring out days of the week'] = 'Wochentage herausfinden';
catalog['Figuring out how high a ball gets given how long it spends in the air'] = 'Figuring out how high a ball gets given how long it spends in the air';
catalog['Figuring out missing algebraic step'] = 'Verstehen von fehlenden Schritten in der Algebra';
catalog['Figuring out the Laplace Transform of the Dirac Delta Function'] = 'Figuring out the Laplace Transform of the Dirac Delta Function';
catalog['Figuring out the acceleration of ice down a plane made of ice'] = 'Figuring out the acceleration of ice down a plane made of ice';
catalog['Figuring out the boundaries of integration.'] = 'Die Grenzen der Integration finden.';
catalog['Figuring out the car\'s average speed while completing the loop de loop'] = 'Figuring out the car\'s average speed while completing the loop de loop';
catalog['Figuring out the components of the force due to gravity that are parallel and perpendicular to the surface of an inclined plane'] = 'Figuring out the components of the force due to gravity that are parallel and perpendicular to the surface of an inclined plane';
catalog['Figuring out the domain of a function'] = 'Bestimmung des Definitionsbereichs einer Funktion';
catalog['Figuring out the equation for the volume of a sphere.'] = 'Figuring out the equation for the volume of a sphere.';
catalog['Figuring out the formula for a 2x2 matrix.  Defining the determinant.'] = 'Figuring out the formula for a 2x2 matrix.  Defining the determinant.';
catalog['Figuring out the formula for fixed mortgage payments using the sum of a geometric series'] = 'Figuring out the formula for fixed mortgage payments using the sum of a geometric series';
catalog['Figuring out the horizontal displacement for a projectile launched at an angle'] = 'Figuring out the horizontal displacement for a projectile launched at an angle';
catalog['Figuring out the mass of Oxygen we have.'] = 'Herauszufinden, welche Masse an Sauerstoff wir haben.';
catalog['Figuring out the minimum speed at the top of the loop de loop to stay on the track'] = 'Figuring out the minimum speed at the top of the loop de loop to stay on the track';
catalog['Figuring out the molar mass of a mystery molecule at STP.'] = 'Die molare Masse eines geheimnissvollen Molek\u00fcls bei STP herausfinden.';
catalog['Figuring out the null space and a basis of a column space for a matrix'] = 'Figuring out the null space and a basis of a column space for a matrix';
catalog['Figuring out the number of moles of gas we have using the ideal gas equation: PV=nRT.'] = 'Anzahl der Mol Gas, die wir haben mithilfe der idealen Gasgleichung: PV = nRT.';
catalog['Figuring out the pKa of an unknown weak acid from the half equivalence point'] = 'pKa-Wert einer unbekannten schwache S\u00e4ure aus dem halben \u00c4quivalenzpunkt herausfinden';
catalog['Figuring out the partial pressures of various gases in a container.'] = 'Wir finden die Partialdr\u00fccke verschiedenen Gase in einem Beh\u00e4lter heraus.';
catalog['Figuring out the period, frequency, and amplitude of the harmonic motion of a mass attached to a spring.'] = 'Figuring out the period, frequency, and amplitude of the harmonic motion of a mass attached to a spring.';
catalog['Figuring out the probability of running out of water on a camping trip'] = 'Die Wahrscheinlichkeit daf\u00fcr herausfinden, dass auf beim Campieren das Wasser ausgeht';
catalog['Figuring out the transformation matrix for a projection onto a subspace by figuring out the matrix for the projection onto the subspace\'s orthogonal complement first'] = 'Figuring out the transformation matrix for a projection onto a subspace by figuring out the matrix for the projection onto the subspace\'s orthogonal complement first';
catalog['Figuring out the volume of a function rotated about the x-axis.'] = 'Figuring out the volume of a function rotated about the x-axis.';
catalog['Figuring out the volume under z=xy^2'] = 'Figuring out the volume under z=xy^2';
catalog['Figuring out units from formula'] = 'Einheiten aus Formel herauszufinden';
catalog['Figuring out which function is the derivative'] = 'Figuring out which function is the derivative';
catalog['Filippo Brunelleschi, Pazzi Chapel, Santa Croce, Florence, begun 1420s, completed 1460s\n\nSpeakers: Dr. Beth Harris and Dt. Steven Zucker'] = 'Filippo Brunelleschi, Pazzi Chapel, Santa Croce, Florence, begun 1420s, completed 1460s\n\nSpeakers: Dr. Beth Harris and Dt. Steven Zucker';
catalog['Filippo Brunelleschi\'s Santo Spirito, Florence, 1428-81\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Filippo Brunelleschi\'s Santo Spirito, Florence, 1428-81\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Filling out frequency table for independent events'] = 'Filling out frequency table for independent events';
catalog['Filling rectangles with same-sized squares'] = 'Rechtecke mit gleichgro\u00dfen Quadraten f\u00fcllen';
catalog['Film meets art - Chris Nolan inspired by Francis Bacon'] = 'Film meets art - Chris Nolan inspired by Francis Bacon';
catalog['Film meets art - Ken Loach inspired by William Hogarth'] = 'Film meets art - Ken Loach inspired by William Hogarth';
catalog['Film meets art - Mike Leigh inspired by JMW Turner'] = 'Film meets art - Mike Leigh inspired by JMW Turner';
catalog['Final five questions on the 2013 AMC 10 A. (Three of these problems are shared with the 2013 AMC 12 A.)\n\nVideos produced by Art of Problem Solving (www.aops.com).  Problems from the MAA American Mathematics Competitions (amc.maa.org)'] = 'Die letzten f\u00fcnf Fragen  zum 2013 AMC 10 A (drei dieser Probleme stammen auch aus dem 2013 AMC 12 A.)\n\nVideos werden von Art of Problem Solving (www.aops.com) produziert.  Probleme stammen aus den MAA-American-Mathematik-Wettbewerben (amc.maa.org)';
catalog['Final step in the coin detector challenge'] = 'Final step in the coin detector challenge';
catalog['Finally we arrive at our quantitative measure of entropy'] = 'Schlie\u00dflich erreichen wir unser Quantifizierung f\u00fcr Entropie';
catalog['Finance and capital markets'] = 'Finanzen und Kapitalm\u00e4rkte';
catalog['Financial Times October 2011'] = 'Financial Times Oktober 2011';
catalog['Financial crisis in Thailand caused by speculative attack'] = 'Financial crisis in Thailand caused by speculative attack';
catalog['Financial weapons of mass destruction'] = 'Financial weapons of mass destruction';
catalog['Find a percent of a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent.'] = 'Finde den Prozentsatz einer Gr\u00f6\u00dfe als einen Anteil von 100. L\u00f6se Probleme, bei denen du aus einem gegebenen Anteil und dem Prozentsatz die Gesamtmenge findest.';
catalog['Find an unknown in a proportion 2'] = 'Finden einer Unbekannten in einer Verh\u00e4ltnisgleichung 2';
catalog['Find an unknown in a proportion'] = 'Finden einer Unbekannten in einer Verh\u00e4ltnisgleichung';
catalog['Find areas of trapezoids, rhombi, and kites given important lengths.'] = 'Finde Fl\u00e4chen von Trapezen, Rhomben und Drachen, wenn wichtige L\u00e4ngen gegeben sind.';
catalog['Find critical numbers and determine whether they are local minima or local maxima.'] = 'Find critical numbers and determine whether they are local minima or local maxima.';
catalog['Find limits numerically by completing a table of values.'] = 'Grenzen numerisch durch Ausf\u00fcllen einer Wertetabelle finden.';
catalog['Find out about the basics of cells, chromosomes, and the genes contained in your DNA.'] = 'Find out about the basics of cells, chromosomes, and the genes contained in your DNA.';
catalog['Find out exactly how TB causes damage to the lungs.  These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out exactly how TB causes damage to the lungs.  These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out exactly how stretch increases force of contraction in end-diastole, whereas more calcium increased force of contraction in end-systole.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out exactly how stretch increases force of contraction in end-diastole, whereas more calcium increased force of contraction in end-systole.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes speed of your heartbeat!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes speed of your heartbeat!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes the delay between the contraction of the atria and the ventricles!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes the delay between the contraction of the atria and the ventricles!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out exactly what preload and afterload mean, and why most of us use a handy shortcut to guess-timating what they are!'] = 'Finde heraus, was Vorlast und Nachlast bedeutet, und warum die meisten von uns mit einer praktische Abk\u00fcrzung erraten, was sie sind!';
catalog['Find out exactly where the heart rests in your body and what it does.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Finde heraus, wo das Herz in deinem K\u00f6rper ist und was es tut. Rishi ist ein Arzt f\u00fcr p\u00e4diatrische Infektionskrankheiten und arbeitet an der Khan Academy.';
catalog['Find out exactly why air goes in and out of the lungs.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out exactly why air goes in and out of the lungs.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out how Aldosterone and ADH cause changes in volume and osmolarity.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out how Aldosterone and ADH cause changes in volume and osmolarity.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out how a cell that is permeable to one ion can become charged (either positive or negative) if there is permeability and a concentration gradient.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out how a cell that is permeable to one ion can become charged (either positive or negative) if there is permeability and a concentration gradient.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out how artists use the resistance of grease and water to create lithographs. Did you know that MoMA offers studio courses online? To learn more, check out the <a data-cke-saved-href="http://www.moma.org/learn/courses/online#self" href="http://www.moma.org/learn/courses/online#self">list</a> of online course offerings.'] = 'Find out how artists use the resistance of grease and water to create lithographs. Did you know that MoMA offers studio courses online? To learn more, check out the <a data-cke-saved-href="http://www.moma.org/learn/courses/online#self" href="http://www.moma.org/learn/courses/online#self">list</a> of online course offerings.';
catalog['Find out how chromosomes and genes are passed down from parent to child.'] = 'Find out how chromosomes and genes are passed down from parent to child.';
catalog['Find out how compliance allows arteries to store elastic energy (and lower pressure).   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out how compliance allows arteries to store elastic energy (and lower pressure).   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out how health professionals use short-hand for labs and the meaning of normal ranges.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out how health professionals use short-hand for labs and the meaning of normal ranges.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out how left ventricular end-diastolic pressure helps you make an educated guess about preload.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out how left ventricular end-diastolic pressure helps you make an educated guess about preload.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out how many lives are affected by TB around the world.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out how many lives are affected by TB around the world.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out how many people get hospitalized and die from the flu each year, and learn how we can use the internet to keep tabs on the flu!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out how many people get hospitalized and die from the flu each year, and learn how we can use the internet to keep tabs on the flu!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out how much sodium is in some common foods and how you can maintain a low sodium diet.   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out how much sodium is in some common foods and how you can maintain a low sodium diet.   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out how preload, afterload, and contractility work together to change your PV Loop (and affect stroke volume and cardiac output)!'] = 'Find out how preload, afterload, and contractility work together to change your PV Loop (and affect stroke volume and cardiac output)!';
catalog['Find out how simple it is to calculate your BMI and the common BMI categories.   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out how simple it is to calculate your BMI and the common BMI categories.   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out how the body controls how much blood flows through a capillary bed.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out how the body controls how much blood flows through a capillary bed.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out how the cutoff for a "positive PPD" depends on clinical clues.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out how the cutoff for a "positive PPD" depends on clinical clues.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out how the flu spreads from person to person, and who is at the greatest risk of getting complications of the flu.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out how the flu spreads from person to person, and who is at the greatest risk of getting complications of the flu.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out how the genetic material in the Type A flu virus can get shuffled around to create brand new types of viruses!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out how the genetic material in the Type A flu virus can get shuffled around to create brand new types of viruses!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out how the heart and circulatory system work in the fetus!'] = 'Finde heraus, wie Herz und Kreislauf im F\u00f6tus funktionieren!';
catalog['Find out how the pacemaker cells use the movement of sodium, calcium, and potassium to get your heart beating!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out how the pacemaker cells use the movement of sodium, calcium, and potassium to get your heart beating!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out how the respiratory center collects information from all over the body and then helps regulate your breathing.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out how the respiratory center collects information from all over the body and then helps regulate your breathing.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out how the sympathetic nerves increase the heart\'s force of contraction and speed of relaxation!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out how the sympathetic nerves increase the heart\'s force of contraction and speed of relaxation!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out how the various pacemaker cells in the heart actually race against the clock to try to keep pace for the heart, and how the heart has not one but two back up systems!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out how the various pacemaker cells in the heart actually race against the clock to try to keep pace for the heart, and how the heart has not one but two back up systems!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out how the your body uses special cells that are central to the brain (inside the brain) to sense levels of CO2 and pH.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out how the your body uses special cells that are central to the brain (inside the brain) to sense levels of CO2 and pH.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out how the your body uses special cells that are peripheral to the brain (outside the brain) to sense levels of O2, CO2, and pH. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out how the your body uses special cells that are peripheral to the brain (outside the brain) to sense levels of O2, CO2, and pH. Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out how to calculate exactly how much oxygen is deep down inside your lungs!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out how to calculate exactly how much oxygen is deep down inside your lungs!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out how to use the PV loop to draw the Ea (Arterial Elastance) line, and what it represents.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out how to use the PV loop to draw the Ea (Arterial Elastance) line, and what it represents.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out how tonicity is determined by ions that don\'t move across membranes and how it affects the movement of water.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out how tonicity is determined by ions that don\'t move across membranes and how it affects the movement of water.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out how we can use clinical clues to help figure out if someone has active TB infection.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out how we can use clinical clues to help figure out if someone has active TB infection.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out just how useful the flu vaccine actually is at preventing the flu!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out just how useful the flu vaccine actually is at preventing the flu!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out more about heart muscles and what happens when they contract.'] = 'Erfahre mehr \u00fcber Herzmuskeln und was passiert, wenn sie sich kontrahieren.';
catalog['Find out the basics of TB, where it comes from and where it goes.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out the basics of TB, where it comes from and where it goes.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out what a systolic and diastolic blood pressure mean.   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out what a systolic and diastolic blood pressure mean.   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out what can cause a heart disease and stroke, and how the two are related!'] = 'Finde heraus, was zu Herzerkrankungen und Schlaganfall f\u00fchren kann, und wie die beiden verbunden sind!';
catalog['Find out what happens to those nifty fetal structures once we get older.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out what happens to those nifty fetal structures once we get older.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out what happens when the left ventricle is not allowed to contract, and instead you simply add and take away blood from it.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out what happens when the left ventricle is not allowed to contract, and instead you simply add and take away blood from it.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out what happens when the left ventricle is not allowed to relax, and instead you simply add and take away blood from it.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out what happens when the left ventricle is not allowed to relax, and instead you simply add and take away blood from it.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out what happens when things move very slowly through the AV Node!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out what happens when things move very slowly through the AV Node!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out what helps you grow and how we can measure growth'] = 'Finde heraus was dir hilft zu wachsen und wie man Wachstum misst';
catalog['Find out whether oxygen or carbon dioxide has a higher rate of diffusion (Hint: It pays to be small!).  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Find out whether oxygen or carbon dioxide has a higher rate of diffusion (Hint: It pays to be small!).  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Find out why a cell that is permeable to multiple ions has a membrane potential that is influenced by the ion with the highest permeability.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out why a cell that is permeable to multiple ions has a membrane potential that is influenced by the ion with the highest permeability.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out why having "stiff arteries" can increase blood pressure and cause uneven blood flow.  It all comes back to the idea of "total energy"!'] = 'Find out why having "stiff arteries" can increase blood pressure and cause uneven blood flow.  It all comes back to the idea of "total energy"!';
catalog['Find out why stretching a heart cell in diastole affects how forcefully it contracts in systole.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out why stretching a heart cell in diastole affects how forcefully it contracts in systole.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find out why the length of a sarcomere (in diastole) affects the amount of force that it can generate (in systole), and how that would look on a graph.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Find out why the length of a sarcomere (in diastole) affects the amount of force that it can generate (in systole), and how that would look on a graph.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Find the absolute value of a complex number.'] = 'Finde den Absolutwert einer komplexen Zahl.';
catalog['Find the absolute value of a given number.'] = 'Finde den Absolutwert einer gegeben Zahl.';
catalog['Find the area of a rectangle given its length and width.'] = 'Berechne die Fl\u00e4che eines Rechtecks wenn L\u00e4nge und Breite gegeben sind.';
catalog['Find the area of parallelograms given base and height.'] = 'Finde die Fl\u00e4che von Parallelogrammen wenn Basis und H\u00f6he gegeben sind.';
catalog['Find the area of right, acute, and obtuse triangles from a diagram.'] = 'Berechne die Fl\u00e4che der rechtwinkligen, spitzen und stumpfen Dreiecke aus einem Diagramm.';
catalog['Find the areas of shaded regions which are combinations of squares, triangles, and circles.'] = 'Finde die Fl\u00e4chen der schattierten Regionen, die Kombinationen von Quadraten, Dreiecken und Kreisen sind.';
catalog['Find the asymptotes of a hyperbola based on the equation.'] = 'Find the asymptotes of a hyperbola based on the equation.';
catalog['Find the center and major and minor radius of an ellipse given its equation.'] = 'Find the center and major and minor radius of an ellipse given its equation.';
catalog['Find the center and radius of a circle given the equation in factored form.'] = 'Find the center and radius of a circle given the equation in factored form.';
catalog['Find the center and radius of a circle given the equation in unfactored form.'] = 'Find the center and radius of a circle given the equation in unfactored form.';
catalog['Find the cube root of a perfect cube positive integer.'] = 'Finde die Kubikwurzel einer perfekten positiven ganzzahligen Kubikzahl';
catalog['Find the determinant of a 2x2 matrix'] = 'Finde die Determinante einer 2x2-Matrix';
catalog['Find the determinant of a 3x3 matrix'] = 'Finde die Determinante einer 3x3 Matrix';
catalog['Find the distance between a point and a line. Some horizontal and vertical lines.'] = 'Berechne die Entfernung zwischen einem Punkt und einer Linie. Einige horizontale u vertikale Linien.';
catalog['Find the function of a function.'] = 'Finde die Funktion einer Funktion.';
catalog['Find the inverse of a 2x2 matrix'] = 'Finde den Kehrwert einer 2x2-Matrix';
catalog['Find the inverse of a 3x3 matrix'] = 'Finde die Inverse einer 3x3-Matrix';
catalog['Find the leg or hypotenuse of a right triangle using the Pythagorean theorem.'] = 'Finde die Hypotenuse eines rechtwinkligen Dreiecks mit Hilfe des Satz des Pythagoras.';
catalog['Find the midpoint of a segment on the coordinate plane, or find the endpoint of a segment given one point and the midpoint.'] = 'Finde den Mittelpunkt eines Segments auf dem Koordinatensystem, oder finde den Endpunkt eines gegebenen Segments und den Mittelpunkt.';
catalog['Find the next term in a geometric sequence.'] = 'Find the next term in a geometric sequence.';
catalog['Find the nth number in a sequence of consecutive numbers based on the sum.'] = 'Finde anhand der Summe die nte Zahl einer Reihe aufeinanderfolgender Zahlen.';
catalog['Find the nth term of a geometric sequence.'] = 'Find the nth term of a geometric sequence.';
catalog['Find the nth term of an arithmetic sequence.'] = 'Finde den n-ten Term einer arithmetischen Folge.';
catalog['Find the roots of a quadratic by completing the square. The numbers are a bit less convenient than they are in level 1.'] = 'Finde die Wurzeln einer Quadratzahl, indem du das Quadrat vervollst\u00e4ndigst. Die Zahlen sind ein wenig umst\u00e4ndlicher, als sie in Stufe 1 sind.';
catalog['Find the roots of a quadratic equation by completing the square.'] = 'Finde die Wurzeln der quadratischen Gleichungen indem du das Quadrat vollst\u00e4ndigst.';
catalog['Find the square root of a perfect square positive integer.'] = 'Berechne die Quadratwurzel einer ganzen positiven Quadratzahl.';
catalog['Find the sum of the first n terms of an arithmetic sequence.'] = 'Find the sum of the first n terms of an arithmetic sequence.';
catalog['Find the value of a function for a given x based on a graph, and perform operations with that value.'] = 'Finde den Wert einer Funktion f\u00fcr einen gegebenen x-Wert und f\u00fchre mit diesem Wert Operationen durch.';
catalog['Find the vertex of a parabola in standard form.'] = 'Finde den Scheitelpunkt einer Parabel.';
catalog['Find the z-score of a particular measurement given the mean and standard deviation.'] = 'Finde den Z-Faktor einer bestimmten Messreihe. Mittelwert und Standardabweichung sind gegeben. \n.';
catalog['Find vertical angles, adjacent angles, and linearly paired angles.'] = 'Scheitelwinkel, angrenzende Winkel und gleiche Winkel finden.';
catalog['Finding 1 on the number line'] = 'Finde 1 auf der Zahlengerade';
catalog['Finding Common Denominators'] = 'Gemeinsamen Nenner finden';
catalog['Finding Cube Roots'] = 'Kubikwurzeln finden';
catalog['Finding Factors of a Number'] = 'Faktoren einer Zahl finden';
catalog['Finding Unit Prices'] = 'Preise pro Einheit finden';
catalog['Finding Unit Rates'] = 'S\u00e4tze pro Einheit finden';
catalog['Finding \u222b(2^ln x)/x dx'] = 'Finden von \u222b(2^ln x)/x dx';
catalog['Finding a coordinate system boring.  Even worse, does it make certain transformations difficult (especially transformations that you have to do over and over and over again)?  Well, we have the tool for you:  change your coordinate system to one that you like more.  Sound strange?  Watch this tutorial and it will be less so.  Have fun!'] = 'Finding a coordinate system boring.  Even worse, does it make certain transformations difficult (especially transformations that you have to do over and over and over again)?  Well, we have the tool for you:  change your coordinate system to one that you like more.  Sound strange?  Watch this tutorial and it will be less so.  Have fun!';
catalog['Finding a linear equation given a point and slope'] = 'Suche nach einer Geradengleichung, wenn ein Punkt und Steigung gegeben sind';
catalog['Finding a piecewise function definition from graph'] = 'Finding a piecewise function definition from graph';
catalog['Finding a point part way between two points'] = 'Finde einen Punkt einer Teilstrecke zwischen zwei Punkten';
catalog['Finding absolute values'] = 'Absolutwerte berechnen';
catalog['Finding an Idea in the Mail'] = 'Finding an Idea in the Mail';
catalog['Finding an orthonormal basis for a subspace using the Gram-Schmidt Process'] = 'Finding an orthonormal basis for a subspace using the Gram-Schmidt Process';
catalog['Finding arc length from radian angle measure'] = 'Finding arc length from radian angle measure';
catalog['Finding area by multiplying'] = 'Suche nach einer Fl\u00e4che durch Multiplikation';
catalog['Finding area by rearranging parts'] = 'Die Fl\u00e4che durch Umordnung von Teilen ermitteln';
catalog['Finding area using similarity and congruence'] = 'Finding area using similarity and congruence';
catalog['Finding central angle measure given arc length'] = 'Finding central angle measure given arc length';
catalog['Finding common denominators of multiple fractions to order them'] = 'Bestimmung des gemeinsamen Nenners von mehreren Br\u00fcchen um sie zu sortieren';
catalog['Finding common denominators'] = 'gemeinsame Nenner finden';
catalog['Finding congruent triangles'] = 'Deckungsgleiche Dreiecke bestimmen';
catalog['Finding critical numbers'] = 'Suche nach kritischen Zahlen';
catalog['Finding cube roots'] = 'Kubikwurzeln finden';
catalog['Finding dimensions of triangle from area'] = 'Abmessungen eines Dreiecks aus der Fl\u00e4che bestimmen';
catalog['Finding eigenvectors and eigenspaces example'] = 'Finding eigenvectors and eigenspaces example';
catalog['Finding factors and multiples'] = 'Faktoren und Vielfache finden';
catalog['Finding factors of a number'] = 'Faktoren einer Zahl finden';
catalog['Finding intercepts for a linear function from a table'] = 'Achsenabschnitte einer linearen Funktion aus einer Tabelle herauslesen';
catalog['Finding inverses and determinants'] = 'Finding inverses and determinants';
catalog['Finding inverses of matrices'] = 'Finding inverses of matrices';
catalog['Finding limits algebraically'] = 'Suche nach Grenzen algebraisch';
catalog['Finding limits numerically'] = 'Grenzwerte numerisch finden';
catalog['Finding line integrals to be a bit boring? Well, this tutorial will add new dimension to your life by explore what surface integrals are and how we can calculate them.'] = 'Finding line integrals to be a bit boring? Well, this tutorial will add new dimension to your life by explore what surface integrals are and how we can calculate them.';
catalog['Finding more angles'] = 'Noch mehr Winkel finden';
catalog['Finding percentages example'] = 'Prozents\u00e4tze finden - Beispiel';
catalog['Finding percents'] = 'Prozente finden';
catalog['Finding perimeter'] = 'Umfang ermitteln';
catalog['Finding probability'] = 'Wahrscheinlichkeiten finden';
catalog['Finding projection onto subspace with orthonormal basis example'] = 'Finding projection onto subspace with orthonormal basis example';
catalog['Finding slope of tangent line with implicit differentiation'] = 'Die Steigung der Tangente mit impliziter Ableitung finden';
catalog['Finding taylor series using the definition'] = 'Finding taylor series using the definition';
catalog['Finding taylor series'] = 'Finding taylor series';
catalog['Finding terms of explicitly defined sequence'] = 'Glieder von explizit definierten Folgen finden';
catalog['Finding that the orthogonal complement of the orthogonal complement of V is V'] = 'Finding that the orthogonal complement of the orthogonal complement of V is V';
catalog['Finding the 100th Term in a Sequence'] = 'Suche nach dem 100. Term in einer Folge';
catalog['Finding the 100th term in a sequence'] = 'Suche nach dem 100. Term in einer Folge';
catalog['Finding the 5th term in recursively defined sequence'] = 'Finding the 5th term in recursively defined sequence';
catalog['Finding the 95% confidence interval for the proportion of a population voting for a candidate.'] = 'Das 95 %-Konfidenzintervall f\u00fcr den Anteil einer Bev\u00f6lkerung, der f\u00fcr einen Kandidaten gestimmt hat.';
catalog['Finding the antiderivative using u-substitution.'] = 'Finden der Stammfunktion mit u-Substitution.';
catalog['Finding the best deal on pesticides'] = 'Das beste Angebot f\u00fcr Pestizide finden';
catalog['Finding the coefficients of a third degree polynomial given 2 roots and the y-intercept'] = 'Finden des Koeffizienten eines drittgradigen Polynoms, wenn 2 Wurzeln und der y-Achsenabschnitt gegeben sind';
catalog['Finding the curl of the vector field and then evaluating the double integral in the parameter domain'] = 'Finding the curl of the vector field and then evaluating the double integral in the parameter domain';
catalog['Finding the determinant by going along other rows or columns'] = 'Finding the determinant by going along other rows or columns';
catalog['Finding the determinant of a 2x2 matrix'] = 'Finde die Determinante einer 2 x 2-Matrix';
catalog['Finding the determinant of a 3x3 matrix method 1'] = 'Wir finden die Determinante einer 3 x 3-Matrix: Methode 1';
catalog['Finding the determinant of a 3x3 matrix method 2'] = 'Wir finden die Determinante einer 3 x 3-Matrix: Methode 2';
catalog['Finding the eigenvectors and eigenspaces of a 2x2 matrix'] = 'Finding the eigenvectors and eigenspaces of a 2x2 matrix';
catalog['Finding the equation of the line tangent to f(x)=xe^x when x=1'] = 'Finden der Gleichung der Tangente an f(x)=xe^x bei x=1';
catalog['Finding the focus and directrix of a parabola'] = 'Bestimmung des Fokus und der Leitgerade einer Parabel';
catalog['Finding the formula for the area of an equilateral triangle with side s'] = 'Finding the formula for the area of an equilateral triangle with side s';
catalog['Finding the full price when you know the discount price'] = 'Den vollen Preis berechnen, wenn man den reduzierten Preis kennt';
catalog['Finding the points of inflection for a strangely defined function'] = 'Finding the points of inflection for a strangely defined function';
catalog['Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus.'] = 'Die Steigung einer Tangente an einer Kurve (Ableitung) finden. Einf\u00fchrung in die Berechnung.';
catalog['Finding the solid of revolution (constructed by revolving around the x-axis) using the disc method.'] = 'Finding the solid of revolution (constructed by revolving around the x-axis) using the disc method.';
catalog['Finding the sum of n squares part 1'] = 'Finding the sum of n squares part 1';
catalog['Finding the sum of n squares part 2'] = 'Finding the sum of n squares part 2';
catalog['Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial'] = 'Die Summe des absoluten Werts der imagin\u00e4ren Teile der Quadratwurzeln eines verr\u00fcckten Polynoms finden';
catalog['Finding the transformation matrix with respect to a non-standard basis'] = 'Finding the transformation matrix with respect to a non-standard basis';
catalog['Finding the vertex of a parabola example'] = 'Beispiel f\u00fcr die Suche nach dem Scheitelpunkt einer Parabel';
catalog['Finding the volume and surface area of a cylinder'] = 'Das Volumen und die Oberfl\u00e4che eines Zylinders berechnen';
catalog['Finding the volume of a figure that is rotated around the y-axis using the disc method'] = 'Finding the volume of a figure that is rotated around the y-axis using the disc method';
catalog['Finding the volume of a solid of revolution that is defined between two functions'] = 'Finding the volume of a solid of revolution that is defined between two functions';
catalog['Finding the volume when we have variable boundaries.'] = 'Finding the volume when we have variable boundaries.';
catalog['Finding trig functions of special angles example'] = 'Finding trig functions of special angles example';
catalog['Finding unit prices'] = 'Preise pro Einheit finden';
catalog['Finding unit rates'] = 'S\u00e4tze pro Einheit finden';
catalog['Finding where the derivative is equal to the average change'] = 'Finding where the derivative is equal to the average change';
catalog['Finding width from perimeter and length'] = 'Breite aus Umfang und L\u00e4nge herausfinden';
catalog['Finding x intercept of a line'] = 'Suche nach x-Achsenabschnitt einer Geraden';
catalog['Finding y intercept given slope and point'] = 'Y-Achsenabschnitt finden; gegeben ist Steigung und ein Punkt';
catalog['Finish the course with a bang by investigating whether or not humans are still evolving, working on a project, and taking the quiz, glossary challenge, and final test. And don\'t forget to submit feedback to help drive Big History Project development!'] = 'Finish the course with a bang by investigating whether or not humans are still evolving, working on a project, and taking the quiz, glossary challenge, and final test. And don\'t forget to submit feedback to help drive Big History Project development!';
catalog['Finishing up our 3x3 matrix inversion'] = 'Vollendung unserer 3x3-Matrix-Inversion';
catalog['Finishing up the line integral with a little trigonometric integration'] = 'Finishing up the line integral with a little trigonometric integration';
catalog['Finite geometric series'] = 'Endliche geometrische Reihen';
catalog['Firestick farming'] = 'Firestick farming';
catalog['First CheMin Results'] = 'Erste Ergebnisse der CheMin';
catalog['First Name'] = 'Vorname';
catalog['First and second ionization energy'] = 'First and second ionization energy';
catalog['First candidate drill site found'] = 'First candidate drill site found';
catalog['First degree price discrimination'] = 'First degree price discrimination';
catalog['First draft of the Declaration of Independence'] = 'First draft of the Declaration of Independence';
catalog['First example of solving an exact differential equation.'] = 'First example of solving an exact differential equation.';
catalog['First exercises made from scratch in Perseus one. '] = 'First exercises made from scratch in Perseus one. ';
catalog['First law of thermodynamic and Internal Energy'] = 'First law of thermodynamic and Internal Energy';
catalog['First law of thermodynamics / internal energy'] = 'First law of thermodynamics / internal energy';
catalog['First living things on land clarification (This video copyrighted under Create Commons Attribution and Share-Alike CC-BY-SA license)'] = 'First living things on land clarification (This video copyrighted under Create Commons Attribution and Share-Alike CC-BY-SA license)';
catalog['First living things on land clarification'] = 'First living things on land clarification';
catalog['First order differential equations'] = 'Differentialgleichungen erster Ordnung';
catalog['First order homegenous equations'] = 'Homogene Gleichungen erster Ordnung';
catalog['First order homogeneous equations 2'] = 'Homogene Gleichungen 1. Ordnung - 2';
catalog['First we attach our galvanometer to a piece of copper and zinc. Then we submerge the metals in pure water and vinegar. What is the difference? Why?'] = 'First we attach our galvanometer to a piece of copper and zinc. Then we submerge the metals in pure water and vinegar. What is the difference? Why?';
catalog['First, learn the difference between arterial elastance (Ea) and afterload.  Then, understand how Ea is affected by changes in afterload, and in turn, how the PV loop can shift.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'First, learn the difference between arterial elastance (Ea) and afterload.  Then, understand how Ea is affected by changes in afterload, and in turn, how the PV loop can shift.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Fischer projections'] = 'Fischer Projektionen';
catalog['Fitness and fecundity'] = 'Fitness and fecundity';
catalog['Fitting a line to data'] = 'Eine Gerade an einen Datensatz ann\u00e4hern';
catalog['Fitting a line to points.  Linear regression.  R-squared.'] = 'Eine passende Linie entsprechend vorgegebener Punkte finden. Lineare Regression. r-Quadrat.';
catalog['Fitting crates in a boxcar'] = 'Kisten in einem Container unterbringen';
catalog['Fitting quadratic and exponential functions to scatter plots'] = 'Fitting quadratic and exponential functions to scatter plots';
catalog['Fitz Henry Lane, Owl\'s Head, Penobscot Bay, Maine, 1862, oil on canvas,\n40 x 66.36 cm / 15-3/4 x 26-1/8 inches (Museum of Fine Arts, Boston)'] = 'Fitz Henry Lane, Owl\'s Head, Penobscot Bay, Maine, 1862, oil on canvas,\n40 x 66.36 cm / 15-3/4 x 26-1/8 inches (Museum of Fine Arts, Boston)';
catalog['Five Tips for Teaching with Works of Art | MoMA Education'] = 'Five Tips for Teaching with Works of Art | MoMA Education';
catalog['Fixed, variable, and marginal cost'] = 'Fixed, variable, and marginal cost';
catalog['Flanders'] = 'Flanders';
catalog['Flex Mex'] = 'Flex Mex';
catalog['Flip through the story of the Big History Project and get a glimpse of how the course came to be.'] = 'Flip through the story of the Big History Project and get a glimpse of how the course came to be.';
catalog['Flipping and shifting radical functions'] = 'Flipping and shifting radical functions';
catalog['Floating Exchange Effect on China'] = 'Floating Exchange Effect on China';
catalog['Floating Exchange Effect on US'] = 'Floating Exchange Effect on US';
catalog['Floating Exchange Resolving Trade Imbalance'] = 'Floating Exchange Resolving Trade Imbalance';
catalog['Floating exchange effect on China'] = 'Floating exchange effect on China';
catalog['Floating exchange effect on US'] = 'Floating exchange effect on US';
catalog['Floating exchange resolving trade imbalance'] = 'Floating exchange resolving trade imbalance';
catalog['Floating magnet'] = 'Floating magnet';
catalog['Flocculation: Making Clean Water'] = 'Flockung: Sauberes Wasser machen';
catalog['Florence in the 1300s'] = 'Florence in the 1300s';
catalog['Florence'] = 'Florence';
catalog['Flow and perfusion'] = 'Flow and perfusion';
catalog['Flow through the heart'] = 'Flow through the heart';
catalog['Flowchart  for the factorial program'] = 'Flussdiagramm f\u00fcr das Fakult\u00e4tprogramm';
catalog['Flowchart for the factorial program'] = 'Flowchart for the factorial program';
catalog['Flu Epidemiology'] = 'Flu Epidemiology';
catalog['Flu Pathophysiology'] = 'Flu Pathophysiology';
catalog['Flu Symptoms and Diagnosis'] = 'Symptome und Diagnose der Grippe';
catalog['Flu Vaccine Excuses'] = 'Flu Vaccine Excuses';
catalog['Flu Vaccine Risks and Benefits'] = 'Risiken und Vorteile des Grippe-Impfstoffs';
catalog['Flu shift and drift'] = 'Flu shift and drift';
catalog['Flu surveillance'] = 'Flu surveillance';
catalog['Flu vaccine efficacy'] = 'Flu vaccine efficacy';
catalog['Flu vaccine risks and benefits'] = 'Flu vaccine risks and benefits';
catalog['Fluids (part 1)'] = 'Fluide (Teil 1)';
catalog['Fluids (part 10)'] = 'Fluide (Teil 10)';
catalog['Fluids (part 11)'] = 'Fluide (Teil 11)';
catalog['Fluids (part 12)'] = 'Fluide (Teil 12)';
catalog['Fluids (part 2)'] = 'Fluide (Teil 2)';
catalog['Fluids (part 3)'] = 'Fluide (part 3)';
catalog['Fluids (part 4)'] = 'Fluide (Teil 4)';
catalog['Fluids (part 5)'] = 'Fluide (Teil 5)';
catalog['Fluids (part 6)'] = 'Fluide (Teil 6)';
catalog['Fluids (part 7)'] = 'Fl\u00fcssigkeiten (Teil 7)';
catalog['Fluids (part 8)'] = 'Fluide (Teil 8)';
catalog['Fluids (part 9)'] = 'Fluide (Teil 9)';
catalog['Fluids at rest - Passage 1'] = 'Fluids at rest - Passage 1';
catalog['Fluids at rest - Passage 2'] = 'Fluids at rest - Passage 2';
catalog['Fluids at rest'] = 'Fluids at rest';
catalog['Fluids'] = 'Fl\u00fcssigkeiten';
catalog['Flux can be view as the rate at which "stuff" passes through a surface.  Imagine a next placed in a river and imagine the water that is flowing directly across the net in a unit of time--this is flux (and it would depend on the orientation of the net, the shape of the net, and the speed and direction of the current). It is an important idea throughout physics and is key for understanding Stokes\' theorem and the divergence theorem.'] = 'Flux can be view as the rate at which "stuff" passes through a surface.  Imagine a next placed in a river and imagine the water that is flowing directly across the net in a unit of time--this is flux (and it would depend on the orientation of the net, the shape of the net, and the speed and direction of the current). It is an important idea throughout physics and is key for understanding Stokes\' theorem and the divergence theorem.';
catalog['Flux in 3-D and constructing unit normal vectors to surface'] = 'Flux in 3-D and constructing unit normal vectors to surface';
catalog['Flux in 3D and constructing unit normal vectors to surface'] = 'Flux in 3D and constructing unit normal vectors to surface';
catalog['Foci of a hyperbola'] = 'Brennpunkte einer Hyperbel';
catalog['Foci of an ellipse'] = 'Brennpunkt einer Ellipse';
catalog['Focus and directrix of a parabola 2'] = 'Fokus und Leitgerade einer Parabel 2';
catalog['Foil Leaf Electroscope. Aluminum leaves repel in the presence of a charged object'] = 'Foil Leaf Electroscope. Aluminum leaves repel in the presence of a charged object';
catalog['Foil leaf electroscope'] = 'Foil leaf electroscope';
catalog['Folding and cutting spheres.\n\nAwesome symmetry balls include card constructions by George Hart, which you can learn about here (and others are on georgehart.com): http://youtu.be/YBUEYrzMijA\nand the Gardner Ball by Oskar van Deventer with design by Scott Kim made in honor of Martin Gardner, which you can learn about here: http://youtu.be/rVHXlltXIlI\nand the Wolfram rhombic hexacontahedron thingy, and others!'] = 'Folding and cutting spheres.\n\nAwesome symmetry balls include card constructions by George Hart, which you can learn about here (and others are on georgehart.com): http://youtu.be/YBUEYrzMijA\nand the Gardner Ball by Oskar van Deventer with design by Scott Kim made in honor of Martin Gardner, which you can learn about here: http://youtu.be/rVHXlltXIlI\nand the Wolfram rhombic hexacontahedron thingy, and others!';
catalog['Folding space-time'] = 'Folding space-time';
catalog['Follow the adventure www.facebook.com/nasa'] = 'Follow the adventure www.facebook.com/nasa';
catalog['Follow the path of an oxygen molecule as it makes its way from your mouth down to an alveolus!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Folge dem Pfad eines Molek\u00fcls Sauerstoff, wie es seinem Weg aus deinem Mund hinunter in eine Alveole folgt!  Rishi ist ein Arzt f\u00fcr p\u00e4diatrische Infektionskrankheiten und arbeitet f\u00fcr die Khan Academy.';
catalog['Follow the trail of evidence in this amusing look at the development of the modern theory of plate tectonics.<br>'] = 'Follow the trail of evidence in this amusing look at the development of the modern theory of plate tectonics.<br>';
catalog['Follow up CNN piece to Dan Simon\'s story on the Khan Academy from last year'] = 'Bleiben Sie am Ball mit der CNN Sendung \u00fcber Dan Simons Bericht \u00fcber die Kahn Akademie vom letzten Jahr';
catalog['Follower of Bernardo Daddi, The Aldobrandini Triptych'] = 'Follower of Bernardo Daddi, The Aldobrandini Triptych';
catalog['Follower of Bernardo Daddi, The Aldobrandini Triptych, tempera on panel, ca. 1336 (Portland Art Museum)\n\nSpeakers: Tina Olsen and Maribeth Graybill\n\nFor more: http://smarthistory.org/daddi-follower-triptych.html'] = 'Follower of Bernardo Daddi, The Aldobrandini Triptych, tempera on panel, ca. 1336 (Portland Art Museum)\n\nSpeakers: Tina Olsen and Maribeth Graybill\n\nFor more: http://smarthistory.org/daddi-follower-triptych.html';
catalog['For a link to a virtual molecular model set: http://www.chem.fsu.edu/schwartz/organic_links.html'] = 'For a link to a virtual molecular model set: http://www.chem.fsu.edu/schwartz/organic_links.html';
catalog['For centuries, expeditions to discover biodiversity have taken scientists to the far corners of the planet. Today\u2019s expeditions are multidisciplinary, incorporate new technologies and involve new ethics.\n'] = 'For centuries, expeditions to discover biodiversity have taken scientists to the far corners of the planet. Today\u2019s expeditions are multidisciplinary, incorporate new technologies and involve new ethics.\n';
catalog['For kids'] = 'F\u00fcr Kinder';
catalog['For loops in python'] = 'For loops in python';
catalog['For many years Hadrian was perceived as a peace-loving admirer of Greek culture and customs, a philhellene. But the one statue on which this long-standing perception was based is not all that it should be. British Museum curator Thorsten Opper and conservator Tracey Sweek investigate.<br>'] = 'For many years Hadrian was perceived as a peace-loving admirer of Greek culture and customs, a philhellene. But the one statue on which this long-standing perception was based is not all that it should be. British Museum curator Thorsten Opper and conservator Tracey Sweek investigate.<br>';
catalog['For more Reading practice, download a full-length SAT and do the questions in section 3. Then watch Sal think through the sentence completion questions from section 3, starting on pg. 48 of the downloadable SAT.\n\nLooking for the downloadable full-length SAT? Check out the Full-length SAT topic.'] = 'For more Reading practice, download a full-length SAT and do the questions in section 3. Then watch Sal think through the sentence completion questions from section 3, starting on pg. 48 of the downloadable SAT.\n\nLooking for the downloadable full-length SAT? Check out the Full-length SAT topic.';
catalog['For more Writing practice, download a full-length SAT and do the questions in section 5. Then watch Sal think through the identifying sentence errors and improving sentences questions from section 5, starting on pg. 54 of the downloadable SAT.\n\nLooking for the downloadable full-length SAT? Check out the Full-length SAT topic.'] = 'For more Writing practice, download a full-length SAT and do the questions in section 5. Then watch Sal think through the identifying sentence errors and improving sentences questions from section 5, starting on pg. 54 of the downloadable SAT.\n\nLooking for the downloadable full-length SAT? Check out the Full-length SAT topic.';
catalog['For more information please visit <a data-cke-saved-href="http://www.moma.org/magritte" href="http://www.moma.org/magritte">http://www.moma.org/magritte</a>'] = 'For more information please visit <a data-cke-saved-href="http://www.moma.org/magritte" href="http://www.moma.org/magritte">http://www.moma.org/magritte</a>';
catalog['For more information please visit <a data-cke-saved-href="http://www.moma.org/magritte" href="http://www.moma.org/magritte">http://www.moma.org/magritte</a><br><br>'] = 'For more information please visit <a data-cke-saved-href="http://www.moma.org/magritte" href="http://www.moma.org/magritte">http://www.moma.org/magritte</a><br><br>';
catalog['For more information please visit&nbsp;<a data-cke-saved-href="http://www.moma.org/1913" href="http://www.moma.org/1913">http://www.moma.org/1913</a>'] = 'For more information please visit&nbsp;<a data-cke-saved-href="http://www.moma.org/1913" href="http://www.moma.org/1913">http://www.moma.org/1913</a>';
catalog['For more information please visit&nbsp;<a data-cke-saved-href="http://www.moma.org/explore/inside_out/category/1913-centennial-celebration" href="http://www.moma.org/explore/inside_out/category/1913-centennial-celebration">http://www.moma.org/1913</a>'] = 'For more information please visit&nbsp;<a data-cke-saved-href="http://www.moma.org/explore/inside_out/category/1913-centennial-celebration" href="http://www.moma.org/explore/inside_out/category/1913-centennial-celebration">http://www.moma.org/1913</a>';
catalog['For more information, please visit&nbsp;<a data-cke-saved-href="http://www.moma.org/1913" href="http://www.moma.org/1913">http://www.moma.org/1913</a>'] = 'For more information, please visit&nbsp;<a data-cke-saved-href="http://www.moma.org/1913" href="http://www.moma.org/1913">http://www.moma.org/1913</a>';
catalog['For more than a thousand years all manuscripts were written and illustrated by hand. This animation illustrates how medieval books were made by gathering and binding folded sheets of parchment. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>'] = 'For more than a thousand years all manuscripts were written and illustrated by hand. This animation illustrates how medieval books were made by gathering and binding folded sheets of parchment. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>';
catalog['For the first time, a single species can effect major change on the entire biosphere. The Industrial Revolution has led us into the modern world. Are we on the brink of a new threshold?'] = 'For the first time, a single species can effect major change on the entire biosphere. The Industrial Revolution has led us into the modern world. Are we on the brink of a new threshold?';
catalog['Foraging is hard. It takes a long time to find the food and materials needed to feed a village. Foragers often have to walk long distances to get everything they need. Throughout the year, they had to move from place to place as they used up resources or to find follow the seasons. It is not an easy life.'] = 'Foraging is hard. It takes a long time to find the food and materials needed to feed a village. Foragers often have to walk long distances to get everything they need. Throughout the year, they had to move from place to place as they used up resources or to find follow the seasons. It is not an easy life.';
catalog['Foraging was a way of life for thousands of years, but a very difficult one. Once humans discovered agriculture, they were able to stay in one place and feed many more people than ever before.'] = 'Foraging was a way of life for thousands of years, but a very difficult one. Once humans discovered agriculture, they were able to stay in one place and feed many more people than ever before.';
catalog['Foramen ovale and ductus arteriosus'] = 'Foramen ovale and ductus arteriosus';
catalog['Forbes  Names You Need To Know:  Khan Academy'] = 'Forbes Namen welche sie kennen m\u00fcssen: Khan Academy';
catalog['Force contribution while pushing box'] = 'Force contribution while pushing box';
catalog['Force of friction keeping the block stationary'] = 'Force of friction keeping the block stationary';
catalog['Force of friction keeping velocity constant'] = 'Force of friction keeping velocity constant';
catalog['Force of tension - Passage 1'] = 'Force of tension - Passage 1';
catalog['Force of tension - Passage 2'] = 'Force of tension - Passage 2';
catalog['Force of tension'] = 'Force of tension';
catalog['Forces and Newton\'s Laws of Motion'] = 'Kr\u00e4fte und Newtons Bewegungsgesetze';
catalog['Forces and Newton\'s laws of motion'] = 'Forces and Newton\'s laws of motion';
catalog['Forces on inclined planes - Passage 1'] = 'Forces on inclined planes - Passage 1';
catalog['Forces on inclined planes - Passage 2'] = 'Forces on inclined planes - Passage 2';
catalog['Forces on inclined planes'] = 'Forces on inclined planes';
catalog['Forehead numbers brain teaser'] = 'Forehead numbers brain teaser';
catalog['Foreign exchange and trade'] = 'Devisen- und G\u00fcterhandel';
catalog['Forget turducken... I\'m stuffing my turkey with two ducks, stuffed with four hens, stuffed with eight quail eggs. Honestly, I do not recommend trying this yourself.\n\nSo what\'s your favourite naming scheme: breadth-first, depth-first, or inordered binary tree traversal?\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM'] = 'Forget turducken... I\'m stuffing my turkey with two ducks, stuffed with four hens, stuffed with eight quail eggs. Honestly, I do not recommend trying this yourself.\n\nSo what\'s your favourite naming scheme: breadth-first, depth-first, or inordered binary tree traversal?\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM';
catalog['Forgotten your password or username?'] = 'Passwort oder Benutzername vergessen?';
catalog['Forgotten your password? Enter your e-mail address below, and we\'ll e-mail instructions for setting a new one.'] = 'Forgotten your password? Enter your e-mail address below, and we\'ll e-mail instructions for setting a new one.';
catalog['Formal and alternate form of the derivative example 1'] = 'Formal and alternate form of the derivative example 1';
catalog['Formal and alternate form of the derivative for ln x'] = 'Formale und alternative Form der Ableitung f\u00fcr ln x';
catalog['Formal and alternate form of the derivative'] = 'Formal and alternate form of the derivative';
catalog['Formal charge I'] = 'Formal charge I';
catalog['Formal charge II'] = 'Formal charge II';
catalog['Formal charge and dot structures'] = 'Formal charge and dot structures';
catalog['Formal charge and resonance'] = 'Formalladungen und Resonanz';
catalog['Formal definition of a circle.  Tangent and secant lines.  Diameters and radii.  major and minor arcs'] = 'Formal definition of a circle.  Tangent and secant lines.  Diameters and radii.  major and minor arcs';
catalog['Formal understanding of congruency'] = 'Formelles Verst\u00e4ndnis von Kongruenz';
catalog['Formation of acetals'] = 'Formation of acetals';
catalog['Formation of alcohols using hydride reducing agents'] = 'Formation of alcohols using hydride reducing agents';
catalog['Formation of hemiacetals'] = 'Formation of hemiacetals';
catalog['Formation of hydrates'] = 'Formation of hydrates';
catalog['Formation of imines and enamines'] = 'Formation of imines and enamines';
catalog['Formation of nitrate esters'] = 'Formation of nitrate esters';
catalog['Formation of oximes and hydrazones'] = 'Formation of oximes and hydrazones';
catalog['Forming enolates from ketones using LDA and sodium ethoxide. By Jay.'] = 'Forming enolates from ketones using LDA and sodium ethoxide. By Jay.';
catalog['Forms of competition'] = 'Formen des Wettbewerbs';
catalog['Formula for 2x2 inverse'] = 'Formula for 2x2 inverse';
catalog['Formula for a finite geometric series'] = 'Formel f\u00fcr eine endliche geometrische Reihe';
catalog['Formula for arithmetic series'] = 'Formel f\u00fcr die arithmetische Reihe';
catalog['Formula for continuously compounding interest'] = 'Formula for continuously compounding interest';
catalog['Formula from mass composition'] = 'Formula from mass composition';
catalog['Forward Contract Introduction'] = 'Forward Contract Introduction';
catalog['Forward and futures contracts'] = 'Termingesch\u00e4fte';
catalog['Forward contract introduction'] = 'Forward contract introduction';
catalog['Found in around 1896, the mummy known as Gebelein man was buried in about 3500 BC at the site of Gebelein in Upper Egypt. He has been in the British Museum collection for over 100 years, but it was not until 2012 that he was CT scanned for the first time. Detailed images created from the CT scans\' high resolution X-rays are allowing us to look inside his body and learn about his life and his death in ways never before possible.<br>'] = 'Found in around 1896, the mummy known as Gebelein man was buried in about 3500 BC at the site of Gebelein in Upper Egypt. He has been in the British Museum collection for over 100 years, but it was not until 2012 that he was CT scanned for the first time. Detailed images created from the CT scans\' high resolution X-rays are allowing us to look inside his body and learn about his life and his death in ways never before possible.<br>';
catalog['Foundational Concept 1: Biomolecules have unique properties that determine how they contribute to the structure and function of cells, and how they participate in the processes necessary to maintain life.'] = 'Foundational Concept 1: Biomolecules have unique properties that determine how they contribute to the structure and function of cells, and how they participate in the processes necessary to maintain life.';
catalog['Foundational Concept 2: Highly-organized assemblies of molecules, cells, and organs interact to carry out the functions of living organisms'] = 'Foundational Concept 2: Highly-organized assemblies of molecules, cells, and organs interact to carry out the functions of living organisms';
catalog['Foundational Concept 3: Complex systems of tissues and organs sense the internal and external environments of multicellular organisms, and through integrated functioning, maintain a stable internal environment within an ever-changing external environment.'] = 'Foundational Concept 3: Complex systems of tissues and organs sense the internal and external environments of multicellular organisms, and through integrated functioning, maintain a stable internal environment within an ever-changing external environment.';
catalog['Foundational Concept 4: Complex living organisms transport materials, sense their environment, process signals, and respond to changes using processes that can be understood in terms of physical principles.'] = 'Foundational Concept 4: Complex living organisms transport materials, sense their environment, process signals, and respond to changes using processes that can be understood in terms of physical principles.';
catalog['Foundational Concept 5: The principles that govern chemical interactions and reactions form the basis for a broader understanding of the molecular dynamics of living systems.'] = 'Foundational Concept 5: The principles that govern chemical interactions and reactions form the basis for a broader understanding of the molecular dynamics of living systems.';
catalog['Foundational Concept 6: Biological, psychological, and socio-cultural factors influence the ways that individuals perceive, think about, and react to the world.'] = 'Foundational Concept 6: Biological, psychological, and socio-cultural factors influence the ways that individuals perceive, think about, and react to the world.';
catalog['Foundational Concept 7: Biological, psychological, and socio-cultural factors influence behavior and behavior change.'] = 'Foundational Concept 7: Biological, psychological, and socio-cultural factors influence behavior and behavior change.';
catalog['Foundational Concept 8: Psychological, socio-cultural, and biological factors influence the way we think about ourselves and others.'] = 'Foundational Concept 8: Psychological, socio-cultural, and biological factors influence the way we think about ourselves and others.';
catalog['Foundational Concept 9: Cultural and social differences influence well-being.'] = 'Foundational Concept 9: Cultural and social differences influence well-being.';
catalog['Founder Sal Khan said he developed his YouTube lessons from tutoring his relatives.'] = 'Gr\u00fcnder Sal Khan sagte, dass er die YouTube Lektionen entwickelte, um seinen Verwandten Nachhilfe zu geben.';
catalog['Four Buddhas at the American Museum of Natural History'] = 'Four Buddhas at the American Museum of Natural History';
catalog['Four Different Blended Learning Model'] = 'Four Different Blended Learning Model';
catalog['Four different blended learning models'] = 'Four different blended learning models';
catalog['Four fundamental forces'] = 'Four fundamental forces';
catalog['Four levels of protein structure'] = 'Four levels of protein structure';
catalog['Four well-preserved ancient bronze lamps were recently discovered in a rock-cut pit in the Republic of Georgia. Watch conservators study and clean the Lamp with Erotes from Vani. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Four well-preserved ancient bronze lamps were recently discovered in a rock-cut pit in the Republic of Georgia. Watch conservators study and clean the Lamp with Erotes from Vani. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Fourth grade is the time to really fine-tune your addition and subtraction skills to the point that you can add and subtract pretty much any multi-digit, whole number! '] = 'Die 4. Klasse ist die Zeit, um deine F\u00e4higkeiten im Addieren und Subtrahieren soweit zu verbessern, dass du so ziemlich jede mehrstellige, ganze Zahl addieren und subtrahieren kannst! ';
catalog['Fra Andrea Pozzo, Glorification of Saint Ignatius, ceiling fresco in the nave of Sant\'Ignazio, Rome, 1691-94\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Fra Andrea Pozzo, Glorification of Saint Ignatius, ceiling fresco in the nave of Sant\'Ignazio, Rome, 1691-94\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Fra Angelico, The Annunciation (Prado)'] = 'Fra Angelico, The Annunciation (Prado)';
catalog['Fra Angelico, The Annunciation and Life of the Virgin (in the predella), c. 1426, tempera on wood, 194 x 194 cm (Museo del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Fra Angelico, The Annunciation and Life of the Virgin (in the predella), c. 1426, tempera on wood, 194 x 194 cm (Museo del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Fra Angelico, The Annunciation'] = 'Fra Angelico, The Annunciation';
catalog['Fra Angelico, The Annunciation, c. 1438-47, fresco, 230 x 321 cm (Convent of San Marco, Florence)\n\nSpeakers: Dr Beth Harris and Dr. Steven Zucker'] = 'Fra Angelico, The Annunciation, c. 1438-47, fresco, 230 x 321 cm (Convent of San Marco, Florence)\n\nSpeakers: Dr Beth Harris and Dr. Steven Zucker';
catalog['Fra Filippo Lippi, Madonna and Child with two Angels'] = 'Fra Filippo Lippi, Madonna and Child with two Angels';
catalog['Fra Filippo Lippi, Madonna and Child with two Angels, c. 1460-1465, tempera on panel, 95 x 63.5 cm (Galleria degli Uffizi, Florence)'] = 'Fra Filippo Lippi, Madonna and Child with two Angels, c. 1460-1465, tempera on panel, 95 x 63.5 cm (Galleria degli Uffizi, Florence)';
catalog['Fra Filippo Lippi, Madonna and Child'] = 'Fra Filippo Lippi, Madonna and Child';
catalog['Fra Filippo Lippi, Madonna and Child, c. 1440, tempera on panel, 79 x 51.1 cm / 31-1/8 x 20-1/8 inches (National Gallery of Art, Washington)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more videos, see www.smarthistory.org'] = 'Fra Filippo Lippi, Madonna and Child, c. 1440, tempera on panel, 79 x 51.1 cm / 31-1/8 x 20-1/8 inches (National Gallery of Art, Washington)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more videos, see www.smarthistory.org';
catalog['Fra Fillippo Lippi, Portrait of a Man and Woman at a Casement, tempera on wood, c. 1440 (Metropolitan Museum of Art)\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris\n\nFor more: http://smarthistory.org/lippis-portrait-of-a-man-and-woman-at-a-casement.html'] = 'Fra Fillippo Lippi, Portrait of a Man and Woman at a Casement, tempera on wood, c. 1440 (Metropolitan Museum of Art)\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris\n\nFor more: http://smarthistory.org/lippis-portrait-of-a-man-and-woman-at-a-casement.html';
catalog['Fractal fractions'] = 'Fractal fractions';
catalog['Fraction basics'] = 'Grundlagen des Bruchrechnens';
catalog['Fraction multiplication as scaling'] = 'Bruch-Multiplikation als Skalierung';
catalog['Fraction word problems 1 exercise'] = 'Br\u00fcche Textbeispiele 1 \u00dcbung';
catalog['Fraction word problems 1'] = 'Br\u00fcche - Textaufgaben I';
catalog['Fractional Exponent Expressions 1'] = 'Gebrochene Exponenten Ausdr\u00fccke 1';
catalog['Fractional Exponent Expressions 2'] = 'Gebrochene Exponenten Ausdr\u00fccke 2';
catalog['Fractional Exponent Expressions 3'] = 'Gebrochene Exponenten Ausdr\u00fccke 3';
catalog['Fractional Reserve banking commentary 1'] = 'Fractional Reserve banking commentary 1';
catalog['Fractional and integer bases raised to negative integer exponents.'] = 'Br\u00fcche und ganze Zahlen potenziert mit ganzzahligen, negativen Exponenten.';
catalog['Fractional and integer bases raised to positive and negative fractional exponents.'] = 'Ganzzahlige Basen und Br\u00fcche auf positive und negative Exponenten als Br\u00fcche angehoben.';
catalog['Fractional bases raised to fractional exponents with non-1 numerators.'] = 'Basen als Br\u00fcche auf Exponenten mit Br\u00fcchen gehoben (ohne -1 im Z\u00e4hler).';
catalog['Fractional exponent expressions 1'] = 'Gebrochene Exponenten Ausdr\u00fccke 1';
catalog['Fractional exponent expressions 2'] = 'Gebrochene Exponenten Ausdr\u00fccke 2';
catalog['Fractional exponent expressions 3'] = 'Gebrochene Exponenten Ausdr\u00fccke 3';
catalog['Fractional exponents 2'] = 'Gebrochene Exponenten 2';
catalog['Fractional exponents with numerators other than 1'] = 'Gebrochene Exponenten mit Z\u00e4hler ungleich 1';
catalog['Fractional exponents'] = 'Gebrochene Exponenten';
catalog['Fractional reserve accounting'] = 'Mindestreserve-Buchhaltung';
catalog['Fractional reserve banking and the money supply.'] = 'Partielles Reservesystem und Geldangebot.';
catalog['Fractional reserve banking and the multiplier effect.  Introduction to the money supply.'] = 'Fractional reserve banking and the multiplier effect.  Introduction to the money supply.';
catalog['Fractional reserve banking'] = 'Partielles Reservesystem';
catalog['Fractions and decimals'] = 'Br\u00fcche und Dezimalzahlen';
catalog['Fractions as division by 10 or 100'] = 'Br\u00fcche als Division durch 10 oder 100';
catalog['Fractions as division by a multiple of 10'] = 'Br\u00fcche als Division durch ein Vielfaches von 10';
catalog['Fractions as division by power of 10'] = 'Br\u00fcche als Division durch eine Potenz von 10';
catalog['Fractions cut and copy 1 exercise'] = '\u00dcbung mit Br\u00fcchen 1:  Ausschneiden und kopieren';
catalog['Fractions cut and copy 1'] = 'Br\u00fcche Teilen und Kopieren 1';
catalog['Fractions cut and copy 2 exercise example'] = '\u00dcbung mit Br\u00fcchen 2: Ausscheiden und kopieren';
catalog['Fractions cut and copy 2'] = 'Br\u00fcche Teilen und Kopieren 2';
catalog['Fractions greater than one'] = 'Fractions greater than one';
catalog['Fractions in lowest terms'] = 'Gek\u00fcrzte Br\u00fcche';
catalog['Fractions on a number line'] = 'Br\u00fcche auf der Zahlengeraden';
catalog['Fractions on the number line 1'] = 'Br\u00fcche auf dem Zahlenstrahl 1';
catalog['Fractions on the number line 2'] = 'Br\u00fcche auf dem Zahlenstrahl 2';
catalog['Fractions on the number line 3'] = 'Br\u00fcche auf dem Zahlenstrahl 3';
catalog['Fractions'] = 'Br\u00fcche';
catalog['Fragonard, The Meeting'] = 'Fragonard, The Meeting';
catalog['Fragonard, The Swing'] = 'Fragonard, Die Schaukel';
catalog['Framing "Christina\'s World" by Andrew Wyeth'] = 'Framing "Christina\'s World" by Andrew Wyeth';
catalog['Fran\u00e7ois Boucher, Madame de Pompadour, oil on canvas, 1750 (extention of canvas and additional painting likely added by Boucher later, Fogg Museum'] = 'Fran\u00e7ois Boucher, Madame de Pompadour, oil on canvas, 1750 (extention of canvas and additional painting likely added by Boucher later, Fogg Museum';
catalog['Fran\u00e7ois Boucher, Venus Consoling Love, 1751, oil on canvas, 42-1/8 x 33-3/8 inches / 107 x 84.8 cm (National Gallery of Art)'] = 'Fran\u00e7ois Boucher, Venus Consoling Love, 1751, oil on canvas, 42-1/8 x 33-3/8 inches / 107 x 84.8 cm (National Gallery of Art)';
catalog['France'] = 'France';
catalog['France\'s many revolutions and republics'] = 'Frankreichs zahlreiche Revolutionen und Republiken';
catalog['Francesco Borromini, San Carlo alle Quattro Fontane ("Carlino"), Rome. Commissioned by Cardinal Francesco Barberini in 1634 for the Holy Order of the Trinity; construction began in 1638 and the church was consecrated in 1646.\n\nSpeakers: Frank Dabell, Dr. Beth Harris, and Dr. Steven Zucker'] = 'Francesco Borromini, San Carlo alle Quattro Fontane ("Carlino"), Rome. Commissioned by Cardinal Francesco Barberini in 1634 for the Holy Order of the Trinity; construction began in 1638 and the church was consecrated in 1646.\n\nSpeakers: Frank Dabell, Dr. Beth Harris, and Dr. Steven Zucker';
catalog['Francesco Mazzola, called Parmigianino, Self-Portrait in a Convex Mirror, 1523-24 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Francesco Mazzola, called Parmigianino, Self-Portrait in a Convex Mirror, 1523-24 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Francesco di Giorgio Martini (attributed), Architectural Veduta, c. 1490, oil on poplar, 131 x 233 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin)'] = 'Francesco di Giorgio Martini (attributed), Architectural Veduta, c. 1490, oil on poplar, 131 x 233 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin)';
catalog['Francis Bacon, Triptych - August 1972, 1972, oil on canvas, 72 x 61 x 22 in. (183 x 155 x 64 cm), (Tate Modern, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nFor more: http://smarthistory.org/francis-bacon-triptych-august-1972.html'] = 'Francis Bacon, Triptych - August 1972, 1972, oil on canvas, 72 x 61 x 22 in. (183 x 155 x 64 cm), (Tate Modern, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nFor more: http://smarthistory.org/francis-bacon-triptych-august-1972.html';
catalog['Francisco Goya, The Family of Charles IV, c. 1800, Prado Museum, 280 cm x 336 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Francisco Goya, The Family of Charles IV, c. 1800, Prado Museum, 280 cm x 336 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Francisco de Goya y Lucientes, Saturn Devouring One Of His Sons, 1821-1823, \n143.5 x 81.4 cm (Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nOne of the"Black Paintings" that Goya painted on the walls of his house outside Madrid. This image was originally located on the lower floor of the house known as "la Quinta del Sordo." Goya painted on the walls using several materials including oil paint. The "Black Paintings" had suffered significant damage and loss in their original location and when they were removed from the walls and transferred to canvas by Baron \u00c9mile d\'Erlanger shortly after he aquired the house in 1873. Please note that Saturn is also known as Cronus or Kronus.'] = 'Francisco de Goya y Lucientes, Saturn Devouring One Of His Sons, 1821-1823, \n143.5 x 81.4 cm (Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nOne of the"Black Paintings" that Goya painted on the walls of his house outside Madrid. This image was originally located on the lower floor of the house known as "la Quinta del Sordo." Goya painted on the walls using several materials including oil paint. The "Black Paintings" had suffered significant damage and loss in their original location and when they were removed from the walls and transferred to canvas by Baron \u00c9mile d\'Erlanger shortly after he aquired the house in 1873. Please note that Saturn is also known as Cronus or Kronus.';
catalog['Frank Lloyd Wright, Midway Gardens'] = 'Frank Lloyd Wright, Midway Gardens';
catalog['Frank Lloyd Wright, Solomon R. Guggenheim Museum'] = 'Frank Lloyd Wright, Solomon R. Guggenheim Museum';
catalog['Frank Lloyd Wright, Solomon R. Guggenheim Museum, New York City, 1942-1959\n\nSpeakers: Dr. Matthew Postal and Dr. Steven Zucker'] = 'Frank Lloyd Wright, Solomon R. Guggenheim Museum, New York City, 1942-1959\n\nSpeakers: Dr. Matthew Postal and Dr. Steven Zucker';
catalog['Frank-Starling mechanism'] = 'Frank-Starling mechanism';
catalog['Franklin as civic leader'] = 'Franklin as civic leader';
catalog['Franklin as inventor'] = 'Franklin as inventor';
catalog['Frans Hals, Singing Boy with Flute, c. 1623, oil on canvas, 68.8 x 55.2 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin)'] = 'Frans Hals, Singing Boy with Flute, c. 1623, oil on canvas, 68.8 x 55.2 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin)';
catalog['Franz Kline'] = 'Franz Kline';
catalog['Franz von Stuck, The Sin, 1893 (Neue Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Franz von Stuck, The Sin, 1893 (Neue Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Free Radical Reactions'] = 'Free Radical Reactions';
catalog['Free radical bromination, nucleophilic substitution, oxidation'] = 'Free radical bromination, nucleophilic substitution, oxidation';
catalog['Free radical reaction'] = 'Free radical reaction';
catalog['Free radical reactions'] = 'Free radical reactions';
catalog['French Revolution (part 1)'] = 'French Revolution (part 1)';
catalog['French Revolution (part 2)'] = 'French Revolution (part 2)';
catalog['French Revolution (part 3) - Reign of Terror'] = 'French Revolution (part 3) - Reign of Terror';
catalog['French Revolution (part 4) - The Rise of Napoleon Bonaparte'] = 'French Revolution (part 4) - The Rise of Napoleon Bonaparte';
catalog['French Revolution'] = 'Franz\u00f6sische Revolution';
catalog['French forces get embroiled in the Iberian Peninsula'] = 'Franz\u00f6sische Truppen werden auf der Iberischen Halbinsel verwickelt';
catalog['French invasion of Russia'] = 'French invasion of Russia';
catalog['Frequencies of bivariate data'] = 'H\u00e4ufigkeiten von bivariaten Daten';
catalog['Frequency probability and unfair coins'] = 'H\u00e4ufigkeitswahrscheinlichkeit und unfaire M\u00fcnzen';
catalog['Frequency stability solution'] = 'Frequency stability solution';
catalog['Frequency stability'] = 'Frequenzstabilit\u00e4t';
catalog['Frequent asked question'] = 'Frequent asked question';
catalog['Frequently asked questions'] = 'Frequently asked questions';
catalog['Freud, Standing by the Rags'] = 'Freud, Standing by the Rags';
catalog['Freud\'s psychosexual development'] = 'Freud\'s psychosexual development';
catalog['Frida Kahlo, Frieda and Diego Rivera, 1931'] = 'Frida Kahlo, Frieda and Diego Rivera, 1931';
catalog['Frida Kahlo, Frieda and Diego Rivera\u200b, 1931, oil on canvas, 39-3/8 x 31 inches\nor 100.01 x 78.74 cm (San Francisco Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nPainted in San Francisco during the artist\'s first trip outside of Mexico. She accompanied her husband Diego Rivera who was painting in the United States and would, at the end of the year, be the subject of a retrospecive at The Museum of Modern Art in New York.\n\nThe banderole carried by the bird above the artist states:\nHere you see us, me, Frieda Kahlo\u200b, with my beloved husband Diego Rivera, I painted these portraits in the beautiful city of San Francisco, California, for our friend Mr. Albert Bender, and it was the month of April of the year 1931.\n\nNote: Kahlo changed her German name, Frieda, to Frida.'] = 'Frida Kahlo, Frieda and Diego Rivera\u200b, 1931, oil on canvas, 39-3/8 x 31 inches\nor 100.01 x 78.74 cm (San Francisco Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nPainted in San Francisco during the artist\'s first trip outside of Mexico. She accompanied her husband Diego Rivera who was painting in the United States and would, at the end of the year, be the subject of a retrospecive at The Museum of Modern Art in New York.\n\nThe banderole carried by the bird above the artist states:\nHere you see us, me, Frieda Kahlo\u200b, with my beloved husband Diego Rivera, I painted these portraits in the beautiful city of San Francisco, California, for our friend Mr. Albert Bender, and it was the month of April of the year 1931.\n\nNote: Kahlo changed her German name, Frieda, to Frida.';
catalog['Friedel-Crafts acylation'] = 'Friedel-Crafts-Acylierung';
catalog['Friedel-Crafts alkylation'] = 'Friedel-Crafts alkylation';
catalog['Friedrich, Abbey among Oak Trees'] = 'Friedrich, Abbey among Oak Trees';
catalog['Friedrich, Monk by the Sea'] = 'Friedrich, Monk by the Sea';
catalog['Friedrich, The Lone Tree'] = 'Friedrich, The Lone Tree';
catalog['Friedrich, Woman at a Window'] = 'Friedrich, Woman at a Window';
catalog['Friedrich, a Walk at Dusk'] = 'Friedrich, a Walk at Dusk';
catalog['From Lee\'s Surrender to Grant to Lincoln\'s Assassination'] = 'From Lee\'s Surrender to Grant to Lincoln\'s Assassination';
catalog['From compound interest to population growth to half lives of radioactive materials, it all comes down to exponential growth and decay.'] = 'Von Zinsen und Zinseszinsen zu Bev\u00f6lkerungswachstums zu Halbwertszeit von radioaktiven Stoffen, es geht immer um exponentielles Wachstum und Verfall.';
catalog['From honey bees to cells, viruses, and atoms -- understanding the scale of the very small'] = 'Von Honigbienen \u00fcber Zellen und Viren bis hin zu Atomen -- den  Ma\u00dfstab von sehr kleinen Dingen verstehen';
catalog['From length to area to volume to time, thinking about how we measure things.'] = 'Von L\u00e4nge, zu Fl\u00e4che, zu Volumen, zu Zeit- wie wir Dinge messen.';
catalog['From terpenes to steroids part 1: Terpenes'] = 'From terpenes to steroids part 1: Terpenes';
catalog['From terpenes to steroids part 2: Squalene, cholesterol, and steroids'] = 'From terpenes to steroids part 2: Squalene, cholesterol, and steroids';
catalog['From the 1850s, photography and the railroad each offered new experiences to people who had never before traveled great distances. Photographs were used to allay fears of potential travelers. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'From the 1850s, photography and the railroad each offered new experiences to people who had never before traveled great distances. Photographs were used to allay fears of potential travelers. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['From the Utah System of Higher Education (with special thanks to Dr. Nancy Ross). Video by Ydraw.'] = 'From the Utah System of Higher Education (with special thanks to Dr. Nancy Ross). Video by Ydraw.';
catalog['From the extinction of the dinosaurs to humanity'] = 'Vom Aussterben der Dinosaurier bis zur Menschheit';
catalog['From the frivolous paintings of Fragonard to the politically-charged moralizing images of David, this tutorial brings us from the King of France and his court\u2014the 1%\u2014to the democratic aspirations of the French and American revolutionaries. The Kings of France ruled by divine right, but Enlightenment thinkers (for example, Voltaire and Diderot) asserted our ability to reason for ourselves rather than rely on the teachings of established institutions. Rousseau in \u201cThe Social Contract,\u201d stated that power to govern resided in the hands of the people. In 1788 the new United States ratified its Constitution, and in 1793, King Louis XVI was beheaded. Artists in France, America and Britain\u2014some sympathetic to revolutionary ideals, others not\u2014were nevertheless all caught up in the political upheavals of this period.'] = 'From the frivolous paintings of Fragonard to the politically-charged moralizing images of David, this tutorial brings us from the King of France and his court\u2014the 1%\u2014to the democratic aspirations of the French and American revolutionaries. The Kings of France ruled by divine right, but Enlightenment thinkers (for example, Voltaire and Diderot) asserted our ability to reason for ourselves rather than rely on the teachings of established institutions. Rousseau in \u201cThe Social Contract,\u201d stated that power to govern resided in the hands of the people. In 1788 the new United States ratified its Constitution, and in 1793, King Louis XVI was beheaded. Artists in France, America and Britain\u2014some sympathetic to revolutionary ideals, others not\u2014were nevertheless all caught up in the political upheavals of this period.';
catalog['From the mid-1700s to 1980 C.E., Europe and the Americas experienced rapid change and innovation. Art existed in the context of dramatic events such as industrialization, urbanization, economic upheaval, migrations, and wars. Countries and governments were re-formed; women\u2019s and civil rights\u2019 movements catalyzed social change.\n\nArtists assumed new roles in society. Styles of art proliferated and often gave rise to artistic movements. Art and architecture exhibited a diversity of styles, forming an array of \u201cisms.\u201d Works of art took on new roles and functions in society and were experienced by audiences in new ways. Art of this era often proved challenging for audiences and patrons to immediately understand.'] = 'From the mid-1700s to 1980 C.E., Europe and the Americas experienced rapid change and innovation. Art existed in the context of dramatic events such as industrialization, urbanization, economic upheaval, migrations, and wars. Countries and governments were re-formed; women\u2019s and civil rights\u2019 movements catalyzed social change.\n\nArtists assumed new roles in society. Styles of art proliferated and often gave rise to artistic movements. Art and architecture exhibited a diversity of styles, forming an array of \u201cisms.\u201d Works of art took on new roles and functions in society and were experienced by audiences in new ways. Art of this era often proved challenging for audiences and patrons to immediately understand.';
catalog['Fueled by surplus crops, agriculture led to the formation of the world\u2019s first large-scale civilizations.<br>'] = 'Fueled by surplus crops, agriculture led to the formation of the world\u2019s first large-scale civilizations.<br>';
catalog['Full reserve banking'] = 'Full reserve banking';
catalog['Full-length SAT'] = 'Full-length SAT';
catalog['Full-length SAT: Section 3'] = 'Full-length SAT: Section 3';
catalog['Full-length SAT: Section 5'] = 'Full-length SAT: Section 5';
catalog['Fun algebra word problem involving a train passing a bike.'] = 'Unterhaltsame Algebra Textaufgaben mit Zug und entgegenkommendem Fahrrad.';
catalog['Fun with Spider Bot'] = 'Fun with Spider Bot';
catalog['Fun with colored shadows'] = 'Fun with colored shadows';
catalog['Fun with strings'] = 'Fun with strings';
catalog['Fun word problem that is almost a brain teaser.'] = 'Spa\u00dfige Textaufgabe die eigentlich schon ein R\u00e4tsel ist.';
catalog['Function Inverse Example 1'] = 'Umkehrfunktionen Beispiel 1';
catalog['Function Inverses Example 2'] = 'Umkehrfunktionen Beispiel 2';
catalog['Function Inverses Example 3'] = 'Umkehrfunktionen Beispiel 3';
catalog['Function as geometric series'] = 'Funktion als geometrische Reihe';
catalog['Function expressions'] = 'Funktionsausdr\u00fccke';
catalog['Function introduction'] = 'Einf\u00fchrung in Funktionen';
catalog['Function inverse example 1'] = 'Umkehrfunktionen Beispiel 1';
catalog['Function inverses example 2'] = 'Umkehrfunktionen Beispiel 2';
catalog['Function inverses example 3'] = 'Umkehrfunktionen Beispiel 3';
catalog['Function inverses'] = 'Inverse Funktion';
catalog['Function invertibility'] = 'Umkehrbarkeit von Funktionen';
catalog['Function notation'] = 'Funktionsnotation';
catalog['Functional Relationships 1'] = 'Beziehungen als Funktion 1';
catalog['Functional groups I'] = 'Funktionelle Gruppen I';
catalog['Functional groups II'] = 'Funktionelle Gruppen II';
catalog['Functional groups'] = 'Funktionelle Gruppen';
catalog['Functional relationships 1'] = 'Beziehungen als Funktion 1';
catalog['Functionalism'] = 'Functionalism';
catalog['Functions (part 2)'] = 'Funktionen (Teil 2)';
catalog['Functions (part 3)'] = 'Funktionen (Teil 3)';
catalog['Functions (part 4)'] = 'Funktionen (Teil 4)';
catalog['Functions and linear transformations'] = 'Funktionen und lineare Transformationen';
catalog['Functions and their graphs'] = 'Funktionen und ihre Graphen';
catalog['Functions as graphs'] = 'Funktionen als Graphen';
catalog['Functions associate a set of inputs with a set of outputs (in fancy language, they "map" one set to another).  But can we go the other way around?  Are there functions that can start with the outputs as inputs and produce the original inputs as outputs?  Yes, there are!  They are called function inverses!\n\nThis tutorial works through a bunch of examples to get you familiar with the world of function inverses.'] = 'Funktionen stellen einen Zusammenhang zwischen einer Eingabemenge und einer Ausgabemenge her (etwas ausgefallener: sie "mappen" eine Menge auf eine andere). Aber geht das auch andersherum? Gibt es Funktionen, die ihren Ausgabewert als Eingabewert nehmen und den urspr\u00fcnglichen Eingabewert als Ausgabewert produziert? Ja, die gibt es! Sie werden Umkehrfunktionen genannt!\n\nDieses Tutorial leitet dich durch einen Haufen von Beispielen, damit du dich  mit der Welt der Umkehrfunktionen vertrauter machen kannst.';
catalog['Functions'] = 'Funktionen';
catalog['Fundamental Theorem of Algebra'] = 'Fundamentalsatz der Algebra';
catalog['Fundamental Theorem of Calculus'] = 'Hauptsatz der Differential- und Integralrechnung';
catalog['Fundamental theorem of algebra for quadratic'] = 'Fundamental theorem of algebra for quadratic';
catalog['Fundamental theorem of algebra'] = 'Fundamental theorem of algebra';
catalog['Fundamental theorem of calculus'] = 'Hauptsatz der Differential- und Integralrechnung';
catalog['Fungi: Death Becomes Them'] = 'Pilze: Sie entstehen aus dem Tod';
catalog['Fuseli, Titania and Bottom'] = 'Fuseli, Titania and Bottom';
catalog['Futures Curves II'] = 'Futures Curves II';
catalog['Futures Introduction'] = 'Futures Introduction';
catalog['Futures and forward curves'] = 'Futures and forward curves';
catalog['Futures curves II'] = 'Futures curves II';
catalog['Futures fair value in the pre-market'] = 'Futures fair value in the pre-market';
catalog['Futures introduction'] = 'Futures introduction';
catalog['Futures margin mechanics'] = 'Futures margin mechanics';
catalog['GDP - measuring national income'] = 'BIP - das nationale Einkommen messen';
catalog['GDP and the circular flow of income and expenditures'] = 'BIP und der Kreislauf von Einkommen und Ausgaben';
catalog['GDP deflator'] = 'GDP deflator';
catalog['GDP: Measuring national income'] = 'GDP: Measuring national income';
catalog['GMAT Data Sufficiency'] = 'GMAT Data Sufficiency';
catalog['GMAT'] = 'GMAT';
catalog['GMAT: Data sufficiency 1'] = 'GMAT: Data Sufficiency 1';
catalog['GMAT: Data sufficiency 10'] = 'GMAT: Data Sufficiency 10';
catalog['GMAT: Data sufficiency 11'] = 'GMAT: Data Sufficiency 11';
catalog['GMAT: Data sufficiency 12'] = 'GMAT: Data Sufficiency 12';
catalog['GMAT: Data sufficiency 13'] = 'GMAT: Data Sufficiency 13';
catalog['GMAT: Data sufficiency 14'] = 'GMAT: Data Sufficiency 14';
catalog['GMAT: Data sufficiency 15'] = 'GMAT: Data Sufficiency 15';
catalog['GMAT: Data sufficiency 16'] = 'GMAT: Data Sufficiency 16';
catalog['GMAT: Data sufficiency 17'] = 'GMAT: Data Sufficiency 17';
catalog['GMAT: Data sufficiency 18'] = 'GMAT: Data Sufficiency 18';
catalog['GMAT: Data sufficiency 19'] = 'GMAT: Data Sufficiency 19';
catalog['GMAT: Data sufficiency 2'] = 'GMAT: Data Sufficiency 2';
catalog['GMAT: Data sufficiency 20'] = 'GMAT: Data Sufficiency 20';
catalog['GMAT: Data sufficiency 21 (correction)'] = 'GMAT Data Sufficiency 21 (Korrektur)';
catalog['GMAT: Data sufficiency 21'] = 'GMAT: Data Sufficiency 21';
catalog['GMAT: Data sufficiency 22'] = 'GMAT: Data Sufficiency 22';
catalog['GMAT: Data sufficiency 23'] = 'GMAT: Data Sufficiency 23';
catalog['GMAT: Data sufficiency 24'] = 'GMAT: Data Sufficiency 24';
catalog['GMAT: Data sufficiency 25'] = 'GMAT: Data Sufficiency 25';
catalog['GMAT: Data sufficiency 26'] = 'GMAT: Data Sufficiency 26';
catalog['GMAT: Data sufficiency 27'] = 'GMAT: Data Sufficiency 27';
catalog['GMAT: Data sufficiency 28'] = 'GMAT: Data Sufficiency 28';
catalog['GMAT: Data sufficiency 29'] = 'GMAT: Data Sufficiency 29';
catalog['GMAT: Data sufficiency 3'] = 'GMAT: Data Sufficiency 3';
catalog['GMAT: Data sufficiency 30'] = 'GMAT: Data Sufficiency 30';
catalog['GMAT: Data sufficiency 31'] = 'GMAT: Data Sufficiency 31';
catalog['GMAT: Data sufficiency 32'] = 'GMAT: Data Sufficiency 32';
catalog['GMAT: Data sufficiency 33'] = 'GMAT: Data Sufficiency 33';
catalog['GMAT: Data sufficiency 34'] = 'GMAT: Data Sufficiency 34';
catalog['GMAT: Data sufficiency 35'] = 'GMAT: Data Sufficiency 35';
catalog['GMAT: Data sufficiency 36'] = 'GMAT: Data Sufficiency 36';
catalog['GMAT: Data sufficiency 37'] = 'GMAT: Data Sufficiency 37';
catalog['GMAT: Data sufficiency 38'] = 'GMAT: Data Sufficiency 38';
catalog['GMAT: Data sufficiency 39'] = 'GMAT: Data Sufficiency 39';
catalog['GMAT: Data sufficiency 4'] = 'GMAT: Data Sufficiency 4';
catalog['GMAT: Data sufficiency 40'] = 'GMAT: Data Sufficiency 40';
catalog['GMAT: Data sufficiency 41'] = 'GMAT: Data Sufficiency 41';
catalog['GMAT: Data sufficiency 5'] = 'GMAT: Data Sufficiency 5';
catalog['GMAT: Data sufficiency 6'] = 'GMAT: Data Sufficiency 6';
catalog['GMAT: Data sufficiency 7'] = 'GMAT: Data Sufficiency 7';
catalog['GMAT: Data sufficiency 8'] = 'GMAT: Data Sufficiency 8';
catalog['GMAT: Data sufficiency 9'] = 'GMAT: Data Sufficiency 9';
catalog['GMAT: Math 1'] = 'GMAT: Mathematik 1';
catalog['GMAT: Math 10'] = 'GMAT:  Math 10';
catalog['GMAT: Math 11'] = 'GMAT:  Math 11';
catalog['GMAT: Math 12'] = 'GMAT: Math 12';
catalog['GMAT: Math 13'] = 'GMAT: Math 13';
catalog['GMAT: Math 14'] = 'GMAT: Math 14';
catalog['GMAT: Math 15'] = 'GMAT: Math 15';
catalog['GMAT: Math 16'] = 'GMAT: Math 16';
catalog['GMAT: Math 17'] = 'GMAT: Math 17';
catalog['GMAT: Math 18'] = 'GMAT: Math 18';
catalog['GMAT: Math 19'] = 'GMAT: Math 19';
catalog['GMAT: Math 2'] = 'GMAT: Math 2';
catalog['GMAT: Math 20'] = 'GMAT: Math 20';
catalog['GMAT: Math 21'] = 'GMAT: Math 21';
catalog['GMAT: Math 22'] = 'GMAT: Math 22';
catalog['GMAT: Math 23'] = 'GMAT: Math 23';
catalog['GMAT: Math 24'] = 'GMAT: Math 24';
catalog['GMAT: Math 25'] = 'GMAT: Math 25';
catalog['GMAT: Math 26'] = 'GMAT: Math 26';
catalog['GMAT: Math 27'] = 'GMAT: Math 27';
catalog['GMAT: Math 28'] = 'GMAT: Math 28';
catalog['GMAT: Math 29'] = 'GMAT: Math 29';
catalog['GMAT: Math 3'] = 'GMAT: Math 3';
catalog['GMAT: Math 30'] = 'GMAT: Math 30';
catalog['GMAT: Math 31'] = 'GMAT: Math 31';
catalog['GMAT: Math 32'] = 'GMAT Math 32';
catalog['GMAT: Math 33'] = 'GMAT Math 33';
catalog['GMAT: Math 34'] = 'GMAT: Math 34';
catalog['GMAT: Math 35'] = 'GMAT: Math 35';
catalog['GMAT: Math 36'] = 'GMAT: Math 36';
catalog['GMAT: Math 37'] = 'GMAT: Math 37';
catalog['GMAT: Math 38'] = 'GMAT: Math 38';
catalog['GMAT: Math 39'] = 'GMAT: Math 39';
catalog['GMAT: Math 4'] = 'GMAT: Math 4';
catalog['GMAT: Math 40'] = 'GMAT Math 40';
catalog['GMAT: Math 41'] = 'GMAT Math 41';
catalog['GMAT: Math 42'] = 'GMAT Math 42';
catalog['GMAT: Math 43'] = 'GMAT: Math 43';
catalog['GMAT: Math 44'] = 'GMAT: Math 44';
catalog['GMAT: Math 45'] = 'GMAT: Math 45';
catalog['GMAT: Math 46'] = 'GMAT: Math 46';
catalog['GMAT: Math 47'] = 'GMAT: Math 47';
catalog['GMAT: Math 48'] = 'GMAT: Math 48';
catalog['GMAT: Math 49'] = 'GMAT: Math 49';
catalog['GMAT: Math 5'] = 'GMAT: Math 5';
catalog['GMAT: Math 50'] = 'GMAT: Math 50';
catalog['GMAT: Math 51'] = 'GMAT: Math 51';
catalog['GMAT: Math 52'] = 'GMAT: Math 52';
catalog['GMAT: Math 53'] = 'GMAT: Math 53';
catalog['GMAT: Math 54'] = 'GMAT: Math 54';
catalog['GMAT: Math 6'] = 'GMAT: Math 6';
catalog['GMAT: Math 7'] = 'GMAT: Math 7';
catalog['GMAT: Math 8'] = 'GMAT: Math 8';
catalog['GMAT: Math 9'] = 'GMAT: Math 9';
catalog['GMAT: Problem Solving'] = 'GMAT: Probleml\u00f6sung';
catalog['G\u00e9ricault, Raft of the Medusa'] = 'G\u00e9ricault, Raft of the Medusa';
catalog['Gabriel Byrne on the idea of looking at the story of Ireland and Irish America on film. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = 'Gabriel Byrne on the idea of looking at the story of Ireland and Irish America on film. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Gabriel Byrne revisiting "The Quiet Man"'] = 'Gabriel Byrne revisiting "The Quiet Man"';
catalog['Galactic collisions'] = 'Galactic collisions';
catalog['Galvanic cell voltaic cell'] = 'Galvanic cell voltaic cell';
catalog['Game theory and Nash equilibrium'] = 'Spieltheorie und Nash-Gleichgewicht';
catalog['Game theory of cheating firms'] = 'Game theory of cheating firms';
catalog['Gamma Waves (1900)'] = 'Gammawellen (1900)';
catalog['Garfield\'s proof of the Pythagorean theorem'] = 'Garfields Beweis f\u00fcr den Satz des Pythagoras';
catalog['Garnier, Paris Op\u00e9ra'] = 'Garnier, Paris Op\u00e9ra';
catalog['Gas Exchange'] = 'Gasaustausch';
catalog['Gas chromatography'] = 'Gas chromatography';
catalog['Gas cost for a roadtrip'] = 'Benzinkosten f\u00fcr eine Fahrtstrecke';
catalog['Gas exchange'] = 'Gasaustausch';
catalog['Gas phase - Passage 1'] = 'Gas phase - Passage 1';
catalog['Gas phase - Passage 2'] = 'Gas phase - Passage 2';
catalog['Gas phase'] = 'Gas phase';
catalog['Gaud\u00ed, Sagrada Fam\u00edlia'] = 'Gaud\u00ed, Sagrada Fam\u00edlia';
catalog['Gauguin, Nevermore'] = 'Gauguin, Nevermore';
catalog['Gauguin, The Red Cow'] = 'Gauguin, die rote Kuh';
catalog['Geithner Plan'] = 'Geithner Plan';
catalog['Geithner plan 1'] = 'Geithner plan 1';
catalog['Geithner plan 2'] = 'Geithner plan 2';
catalog['Geithner plan 3'] = 'Geithner plan 3';
catalog['Geithner plan 4'] = 'Geithner plan 4';
catalog['Geithner plan 5'] = 'Geithner plan 5';
catalog['Geithner plan 6: A better solution'] = 'Geithner plan 6: A better solution';
catalog['Geithner plan'] = 'Geithner plan';
catalog['Gel electrophoresis'] = 'Gel electrophoresis';
catalog['Gene control - Passage 1'] = 'Gene control - Passage 1';
catalog['Gene control - Passage 2'] = 'Gene control - Passage 2';
catalog['Gene control'] = 'Gene control';
catalog['Gene environment interaction'] = 'Gene environment interaction';
catalog['Genealogy and human ancestry'] = 'Genealogy and human ancestry';
catalog['General chemistry review'] = 'Wiederholung der allgemeinen Chemie';
catalog['General overview of the RAAS system: Cells and hormones'] = 'General overview of the RAAS system: Cells and hormones';
catalog['Generalized Taylor series approximation'] = 'Verallgemeinerte Angleichung der Taylor-Reihe';
catalog['Generalized linear consumption function'] = 'Generalized linear consumption function';
catalog['Generalizing a left Riemann sum with equally spaced rectangles'] = 'Generalizing a left Riemann sum with equally spaced rectangles';
catalog['Generalizing a linear consumption function as a function of aggregate income'] = 'Generalizing a linear consumption function as a function of aggregate income';
catalog['Generalizing disc method around x-axis'] = 'Generalizing disc method around x-axis';
catalog['Generalizing the washer method'] = 'Generalizing the washer method';
catalog['Generalizing what we did in the last video for f(x) to get the "formula" for using the disc method around the x-axis'] = 'Generalizing what we did in the last video for f(x) to get the "formula" for using the disc method around the x-axis';
catalog['Generalizing what we did in the last video with more math'] = 'Generalizing what we did in the last video with more math';
catalog['Generalizing with binomial coefficients (bit advanced)'] = 'Generalizing with binomial coefficients (bit advanced)';
catalog['Generating all pages related to videos.'] = 'Generating all pages related to videos.';
catalog['Generating equivalent fractions'] = 'Gleichwertige Br\u00fcche erzeugen';
catalog['Genetic Shift and Drift'] = 'Genetic Shift and Drift';
catalog['Genetic shift in flu'] = 'Genetic shift in flu';
catalog['Genetics 101 part 1: What are genes?'] = 'Genetik 101 Teil 1: Was sind Gene?';
catalog['Genetics 101 part 2: What are SNPs?'] = 'Genetics 101 part 2: What are SNPs?';
catalog['Genetics 101 part 3: Where do your genes come from?'] = 'Genetics 101 part 3: Where do your genes come from?';
catalog['Genetics 101 part 4: What are phenotypes?'] = 'Genetics 101 part 4: What are phenotypes?';
catalog['Gentileschi painted three women challenged in their devotion to God reflecting the Catholic belief that divine ecstasy can only be achieved when a woman chooses freely to love God. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'Gentileschi painted three women challenged in their devotion to God reflecting the Catholic belief that divine ecstasy can only be achieved when a woman chooses freely to love God. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['Gentileschi, Self-portrait as the Allegory of Painting'] = 'Gentileschi, Self-portrait as the Allegory of Painting';
catalog['Geocentric to heliocentric, and beyond. An overview of the major changes in the way people have viewed the Universe.<br>'] = 'Geocentric to heliocentric, and beyond. An overview of the major changes in the way people have viewed the Universe.<br>';
catalog['Geological features of Convergent Plate Boundaries'] = 'Geologische Besonderheiten zusammensto\u00dfender Plattengrenzen';
catalog['Geologists and archaeologists will tell you how old things are or when they happened, but how do they know?  This tutorial answers this question by covering some of the primary techniques of "dating" (not in the romantic sense).'] = 'Geologen und Arch\u00e4ologen werden dir erz\u00e4hlen, wie alt Fundst\u00fccke sind oder wann Dinge passiert sind, aber woher wissen sie das alles? Dieses Tutorial beantwortet diese Frage und behandelt einige bekannte Methoden des Datierens.';
catalog['Geometric constructions'] = 'Geometrische Konstruktionen';
catalog['Geometric definitions'] = 'Geometric definitions';
catalog['Geometric models'] = 'Geometrische Modelle';
catalog['Geometric sequence or progression'] = 'Geometric sequence or progression';
catalog['Geometric sequences 1'] = 'Geometrische Folgen 1';
catalog['Geometric sequences 2'] = 'Geometrische Folgen 2';
catalog['Geometric sequences introduction'] = 'Einf\u00fchrung in geometrische Folgen';
catalog['Geometric sequences'] = 'Geometrische Folgen';
catalog['Geometric series convergence and divergence examples'] = 'Geometrische Reihe Konvergenz und Divergenz - Beispiele';
catalog['Geometric series of constants'] = 'Geometric series of constants';
catalog['Geometric series sum to figure out mortgage payments'] = 'Geometric series sum to figure out mortgage payments';
catalog['Geometric series'] = 'Geometrische Reihen';
catalog['Geometric transformations with matrices'] = 'Geometric transformations with matrices';
catalog['Geometric transformations with matrix multiplication'] = 'Geometric transformations with matrix multiplication';
catalog['Geometric: Dipylon Amphora, c. 755-750 B.C.E.'] = 'Geometric: Dipylon Amphora, c. 755-750 B.C.E.';
catalog['Geometric: Terracotta Krater'] = 'Geometrische Periode: Terrakotta-Krater';
catalog['Geometry problems on the coordinate plane'] = 'Geometrische Aufgaben im Koordinatensystem';
catalog['Geometry'] = 'Geometrie';
catalog['George Bellows, Pennsylvania Station Excavation, oil on canvas, c. 1907-08 (Brooklyn Museum)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'George Bellows, Pennsylvania Station Excavation, oil on canvas, c. 1907-08 (Brooklyn Museum)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Georges Braque, Le Viaduc \u00e0 L\'Estaque, (The Viaduct at L\'Estaque), 1908, oil on canvas, 28-5/8 x 23-1/4 inches or 72.5 x 59 cm (Mus\u00e9e national d\'art moderne, Centre Pompidou, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/the-viaduct-at-lestaque.html'] = 'Georges Braque, Le Viaduc \u00e0 L\'Estaque, (The Viaduct at L\'Estaque), 1908, oil on canvas, 28-5/8 x 23-1/4 inches or 72.5 x 59 cm (Mus\u00e9e national d\'art moderne, Centre Pompidou, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/the-viaduct-at-lestaque.html';
catalog['Georges Seurat, A Sunday on La Grande Jatte - 1884, 1884-86, oil on canvas, 81-3/4 x 121-1/4 inches / 207.5 x 308.1 cm (The Art Institute of Chicago). In the Google Art project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/a-sunday-on-la-grande-jatte-1884-georges-seurat/609033/'] = 'Georges Seurat, A Sunday on La Grande Jatte - 1884, 1884-86, oil on canvas, 81-3/4 x 121-1/4 inches / 207.5 x 308.1 cm (The Art Institute of Chicago). In the Google Art project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/a-sunday-on-la-grande-jatte-1884-georges-seurat/609033/';
catalog['Georges Seurat, Bathers at Asni\u00e8res, 1884, oil on canvas, 6.6 x 9.8 ft (National\nGallery, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Georges Seurat, Bathers at Asni\u00e8res, 1884, oil on canvas, 6.6 x 9.8 ft (National\nGallery, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Georges Seurat, Young Woman Powdering Herself, oil on canvas, 1890 (Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel S. Ropeik'] = 'Georges Seurat, Young Woman Powdering Herself, oil on canvas, 1890 (Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel S. Ropeik';
catalog['Georgia O\'Keeffe, The Lawrence Tree, 1929, oil on canvas, 31 x 40 inches (Wadsworth Atheneum, Hartford)\n\nPainted in the summer of 1929 while visiting D.H. Lawrence at his Kiowa Ranch during O\'Keeffe\'s first trip to New Mexico, the tree stands in front of the house.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Georgia O\'Keeffe, The Lawrence Tree, 1929, oil on canvas, 31 x 40 inches (Wadsworth Atheneum, Hartford)\n\nPainted in the summer of 1929 while visiting D.H. Lawrence at his Kiowa Ranch during O\'Keeffe\'s first trip to New Mexico, the tree stands in front of the house.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Gerard David, The Virgin and Child with Saints and Donor, c. 1510, oil on oak, 105.80 x 144.40 cm (The National Gallery, London)'] = 'Gerard David, The Virgin and Child with Saints and Donor, c. 1510, oil on oak, 105.80 x 144.40 cm (The National Gallery, London)';
catalog['Gerhard Richter, Betty'] = 'Gerhard Richter, Betty';
catalog['Gerhard Richter, September'] = 'Gerhard Richter, September';
catalog['Gerhard Richter, The Cage Paintings (1-6)'] = 'Gerhard Richter, The Cage Paintings (1-6)';
catalog['German Romanticism'] = 'German Romanticism';
catalog['German and Italian Empires in 1914'] = 'Das Deutsche und das Italienische Reich um 1914';
catalog['German art between the wars'] = 'German art between the wars';
catalog['Germany was defeated and exhausted in 1918 at the end of WWI. The equally exhausted victors imposed harsh terms on Germany. It was forced to forfeit its overseas colonial possessions, to cede land to its neighbors, and to pay reparations. As demobilized troops returned, German cities filled with unemployed, often maimed veterans. The Socialists briefly seized power and by the early 1920s hyperinflation further destabilized the nation. Neue Sachlichkeit or the New Objectivity cast a cold sharp eye on Modern Germany\u2019s hypocrisy, aggression, and destitution even as extremists on the political right consolidated power. The National Socialists or Nazi Party won the chancellorship in 1933 and quickly used art and architecture as a means build the myth of a pure German people shaped by the land and unsullied by modern industrial culture. This tutorial looks at the ways that competing political ideologies each used art for its own purposes.'] = 'Germany was defeated and exhausted in 1918 at the end of WWI. The equally exhausted victors imposed harsh terms on Germany. It was forced to forfeit its overseas colonial possessions, to cede land to its neighbors, and to pay reparations. As demobilized troops returned, German cities filled with unemployed, often maimed veterans. The Socialists briefly seized power and by the early 1920s hyperinflation further destabilized the nation. Neue Sachlichkeit or the New Objectivity cast a cold sharp eye on Modern Germany\u2019s hypocrisy, aggression, and destitution even as extremists on the political right consolidated power. The National Socialists or Nazi Party won the chancellorship in 1933 and quickly used art and architecture as a means build the myth of a pure German people shaped by the land and unsullied by modern industrial culture. This tutorial looks at the ways that competing political ideologies each used art for its own purposes.';
catalog['Get Language Pack'] = 'Get Language Pack';
catalog['Get Language Packs'] = 'Get Language Packs';
catalog['Get a better understanding of how your lungs help you to sing and survive!'] = 'Versteh besser, wie deine Lungen dir helfen zu singen und zu \u00fcberleben!';
catalog['Get a clearer idea of what a "Depolarization Wave" means and how it goes from cell to cell through the entire heart!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Get a clearer idea of what a "Depolarization Wave" means and how it goes from cell to cell through the entire heart!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Get a close-up view of the cardiac cells and see what makes them different from the other (skeletal and smooth) muscle cells.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Get a close-up view of the cardiac cells and see what makes them different from the other (skeletal and smooth) muscle cells.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Get a ring-side seat as a pathologist talks about colon cells under the microscope.'] = 'Get a ring-side seat as a pathologist talks about colon cells under the microscope.';
catalog['Get an intuition for why carbon dioxide is so much more soluble than oxygen when it goes into water.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Get an intuition for why carbon dioxide is so much more soluble than oxygen when it goes into water.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Get an overview of blended learning along with the definition of blended learning and an introduction to several different models of blended learning.'] = 'Get an overview of blended learning along with the definition of blended learning and an introduction to several different models of blended learning.';
catalog['Get an overview of three of the key macromolecules of life (proteins, fats, and carbohydrates), and how they get digested and absorbed.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Get an overview of three of the key macromolecules of life (proteins, fats, and carbohydrates), and how they get digested and absorbed.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Get to know the NXT-G environment'] = 'Get to know the NXT-G environment';
catalog['Get to know your light sensor while building musical instruments'] = 'Get to know your light sensor while building musical instruments';
catalog['Get to know your rotation sensor while building a 5 cent machine'] = 'Get to know your rotation sensor while building a 5 cent machine';
catalog['Getting Ea (arterial elastance) from the PV loop'] = 'Getting Ea (arterial elastance) from the PV loop';
catalog['Getting a feel for equations and inequalities'] = 'Ein Gef\u00fchl f\u00fcr Gleichungen und Ungleichungen bekommen';
catalog['Getting a feel for slope and y-intercept'] = 'Ein Gef\u00fchl bekommen f\u00fcr Steigung und y-Achsenabschnitt';
catalog['Getting a new heart'] = 'Getting a new heart';
catalog['Getting a seed round from a VC'] = 'Getting a seed round from a VC';
catalog['Getting a ticket because of the mean value theorem'] = 'Getting a ticket because of the mean value theorem';
catalog['Getting at least one head'] = 'Zumindest einmal Kopf bekommen';
catalog['Getting comfortable with evaluating newly defined function operators'] = 'Vertraut werden mit der Untersuchung von neu definierten Funktions operatoren';
catalog['Getting data from expected value'] = 'Getting data from expected value';
catalog['Getting exactly two heads (combinatorics)'] = 'Genau zwei K\u00f6pfe erhalten (Kombinatorik)';
catalog['Getting more intuition of internal energy, heat, and work'] = 'Getting more intuition of internal energy, heat, and work';
catalog['Getting off the gold standard.  A short discussion of the meaning of wealth.'] = 'Getting off the gold standard.  A short discussion of the meaning of wealth.';
catalog['Giacometti, City Square'] = 'Giacometti, City Square';
catalog['Giacometti, The Palace at 4am'] = 'Giacometti, The Palace at 4am';
catalog['Giacomo Barozzi da Vignola and Giacomo Barozzi da Vignola, Church of Il Gesu, Rome (consecrated 1584, ceiling fresco, The Triumph of the Name of Jesus, by il Baciccio, also known as Giovanni Battista Gaulli, 1672-1685). Speakers: Frank Dabell, Beth Harris, and Steven Zucker Made with our partners, contexttravel.org'] = 'Giacomo Barozzi da Vignola and Giacomo Barozzi da Vignola, Church of Il Gesu, Rome (consecrated 1584, ceiling fresco, The Triumph of the Name of Jesus, by il Baciccio, also known as Giovanni Battista Gaulli, 1672-1685). Speakers: Frank Dabell, Beth Harris, and Steven Zucker Made with our partners, contexttravel.org';
catalog['Gian Lorenzo Bernini, Bust of Medusa, marble, c. 1644-48 (Capitoline Museum)'] = 'Gian Lorenzo Bernini, Bust of Medusa, marble, c. 1644-48 (Capitoline Museum)';
catalog['Gian Lorenzo Bernini, Cathedra Petri (or Chair of St. Peter), gilded bronze, gold, wood, stained glass, 1647-53 (apse of Saint Peter\'s Basilica, Vatican City, Rome).\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker  \n\nAccording to tradition, St. Peter himself, the founder of the institution of the Church and considered the first pope, sat on the ancient wooden chair that is encased within this larger bronze and gold chair.'] = 'Gian Lorenzo Bernini, Cathedra Petri (or Chair of St. Peter), gilded bronze, gold, wood, stained glass, 1647-53 (apse of Saint Peter\'s Basilica, Vatican City, Rome).\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker  \n\nAccording to tradition, St. Peter himself, the founder of the institution of the Church and considered the first pope, sat on the ancient wooden chair that is encased within this larger bronze and gold chair.';
catalog['Gian Lorenzo Bernini, David, 1623-24, marble (Galleria Borghese, Rome)'] = 'Gian Lorenzo Bernini, David, 1623-24,  Marmor (Galleria Borghese, Rom)';
catalog['Gian Lorenzo Bernini, Ecstasy of Saint Theresa, 1647-52 (Cornaro Chapel, Santa Maria della Vittoria, Rome)'] = 'Gian Lorenzo Bernini, Ecstasy of Saint Theresa, 1647-52 (Cornaro Chapel, Santa Maria della Vittoria, Rome)';
catalog['Gian Lorenzo Bernini, Pluto and Proserpina (also know as the Rape of Proserpina), 1621-22, marble (Galleria Borghese, Rome). Proserpina is the Latin varient of the mythic Greek Persephone.'] = 'Gian Lorenzo Bernini, Pluto and Proserpina (also know as the Rape of Proserpina), 1621-22, marble (Galleria Borghese, Rome). Proserpina is the Latin varient of the mythic Greek Persephone.';
catalog['Gian Lorenzo Bernini, Sant\'Andrea al Quirinale, 1658-70, Rome; commissioned by Cardinal Camillo Francesco Maria Pamphili for the nearby Jesuit seminary'] = 'Gian Lorenzo Bernini, Sant\'Andrea al Quirinale, 1658-70, Rome; commissioned by Cardinal Camillo Francesco Maria Pamphili for the nearby Jesuit seminary';
catalog['Gianlorenzo Bernini, Saint Peter\'s Square (Piazza San Pietro), Vatican City, Rome, 1656-67\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Gianlorenzo Bernini, Saint Peter\'s Square (Piazza San Pietro), Vatican City, Rome, 1656-67\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Gibbs free energy and spontaneity'] = 'Gibbs free energy and spontaneity';
catalog['Gibbs free energy example'] = 'Gibbs free energy example';
catalog['Gibbs free energy introduction'] = 'Gibbs free energy introduction';
catalog['Giles Shih - Making an idea into a business'] = 'Giles Shih - Making an idea into a business';
catalog['Giles Shih - President and CEO of BioResource International'] = 'Giles Shih - Pr\u00e4sident und CEO von Biorohstoff International';
catalog['Giles Shih - The importance of education'] = 'Giles Shih - The importance of education';
catalog['Giles Shih, President and CEO of BioResource International, describes his company and explains how producing "big green chickens" will help feed the world.'] = 'Giles Shih, President and CEO of BioResource International, describes his company and explains how producing "big green chickens" will help feed the world.';
catalog['Giles Shih, President and CEO of BioResource International, describes his company and explains how producing &quot;big green chickens&quot; will help feed the world.&nbsp;'] = 'Giles Shih, President and CEO of BioResource International, describes his company and explains how producing &quot;big green chickens&quot; will help feed the world.&nbsp;';
catalog['Giles Shih, President and CEO of BioResource International, talks about his company&rsquo;s origins including founding along with his father. Giles also advises entrepreneurs to get out there and learn as you go.&nbsp;'] = 'Giles Shih, President and CEO of BioResource International, talks about his company&rsquo;s origins including founding along with his father. Giles also advises entrepreneurs to get out there and learn as you go.&nbsp;';
catalog['Giles Shih, President and CEO of BioResource International, talks about how his education contributed to the growth of his business. Giles also discusses three key elements of starting your business as well as the significance to problem solving and being motivated by a cause important to you.&nbsp;'] = 'Giles Shih, President and CEO of BioResource International, talks about how his education contributed to the growth of his business. Giles also discusses three key elements of starting your business as well as the significance to problem solving and being motivated by a cause important to you.&nbsp;';
catalog['Giorgio de Chirico, "The Anxious Journey"'] = 'Giorgio de Chirico, "The Anxious Journey"';
catalog['Giorgione, The Adoration of the Shepherds, 1505/1, oil on panel, 90.8 x 110.5 cm / 35 3/4 x 43 1/2 in. (National Gallery of Art, Washington D.C.)\n\nSpeakers: Dr. Heather Horton and Dr. Mark Trowbridge'] = 'Giorgione, The Adoration of the Shepherds, 1505/1, oil on panel, 90.8 x 110.5 cm / 35 3/4 x 43 1/2 in. (National Gallery of Art, Washington D.C.)\n\nSpeakers: Dr. Heather Horton and Dr. Mark Trowbridge';
catalog['Giorgione, The Tempest, c. 1506-8 (Accademia, Venice)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris'] = 'Giorgione, The Tempest, c. 1506-8 (Accademia, Venice)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris';
catalog['Giorgione, The Tempest, c. 1506-8'] = 'Giorgione, The Tempest, c. 1506-8';
catalog['Giorgione, Three Philosophers, c. 1506 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Giorgione, Three Philosophers, c. 1506 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Giorgione, Three Philosophers, c. 1506'] = 'Giorgione, Three Philosophers, c. 1506';
catalog['Giorgione, the Adoration of the Shepherds'] = 'Giorgione, the Adoration of the Shepherds';
catalog['Giotto di Bondone, St. Francis of Assisi Receiving the Stigmata with predella scenes of the Dream of Innocent III, The Pope Approving the Rule of the Order, and St. Francis\nPreaching to the Birds, c. 1295-1300 (originally, Church of San Francesco, Pisa), tempera and gold on panel, 3.13 x 1.63m, original frame inscribed: "OPUS IOCTI FIORETINI".\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Giotto di Bondone, St. Francis of Assisi Receiving the Stigmata with predella scenes of the Dream of Innocent III, The Pope Approving the Rule of the Order, and St. Francis\nPreaching to the Birds, c. 1295-1300 (originally, Church of San Francesco, Pisa), tempera and gold on panel, 3.13 x 1.63m, original frame inscribed: "OPUS IOCTI FIORETINI".\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Giotto, Arena (Scrovegni) Chapel (part 1)'] = 'Giotto, Arena (Scrovegni) Chapel (part 1)';
catalog['Giotto, Arena (Scrovegni) Chapel (part 2)'] = 'Giotto, Arena (Scrovegni) Chapel (part 2)';
catalog['Giotto, Arena (Scrovegni) Chapel (part 3)'] = 'Giotto, Arena (Scrovegni) Chapel (part 3)';
catalog['Giotto, Arena (Scrovegni) Chapel (part 4)'] = 'Giotto, Arena (Scrovegni) Chapel (part 4)';
catalog['Giotto, St. Francis Receiving the Stigmata '] = 'Giotto, St. Francis Receiving the Stigmata ';
catalog['Giotto, The Entombment of Mary'] = 'Giotto, The Entombment of Mary';
catalog['Giotto, The Entombment of Mary, 1310, tempera on poplar, 75 x 179 cm (Gem\u00e4ldegalerie, Kaiser Friedrich-Museums-Verein, Berlin)'] = 'Giotto, The Entombment of Mary, 1310, tempera on poplar, 75 x 179 cm (Gem\u00e4ldegalerie, Kaiser Friedrich-Museums-Verein, Berlin)';
catalog['Giotto, The Ognissanti Madonna'] = 'Giotto, The Ognissanti Madonna';
catalog['Giotto, The Ognissanti Madonna, 1306-10, tempera on panel, 128 x 80 1/4" (325 x 204 cm).\n\nPainted for the Church of Ognissanti, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Giotto, The Ognissanti Madonna, 1306-10, tempera on panel, 128 x 80 1/4" (325 x 204 cm).\n\nPainted for the Church of Ognissanti, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Giotto\'s Arena (Scrovegni) Chapel, Padua, c. 1305, Part 1\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris'] = 'Giotto\'s Arena (Scrovegni) Chapel, Padua, c. 1305, Part 1\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris';
catalog['Giovanni Bellini and Titian, The Feast of the Gods, 1514 and 1529, oil on canvas\n(National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Giovanni Bellini and Titian, The Feast of the Gods, 1514 and 1529, oil on canvas\n(National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Giovanni Bellini, Saint Francis in the Desert, c. 1480, oil and tempera on poplar, 124.5 x 141.9 cm (The Frick Collection, New York)\n\nIn the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/\n\nView this work up close on the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/'] = 'Giovanni Bellini, Saint Francis in the Desert, c. 1480, oil and tempera on poplar, 124.5 x 141.9 cm (The Frick Collection, New York)\n\nIn the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/\n\nView this work up close on the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/';
catalog['Giovanni Bellini, San Giobbe Altarpiece, c. 1485, oil on panel, 471 cm \u00d7 258 cm / 185 in \u00d7 102 in (Accademia, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Giovanni Bellini, San Giobbe Altarpiece, c. 1485, oil on panel, 471 cm \u00d7 258 cm / 185 in \u00d7 102 in (Accademia, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Giovanni Bellini, San Zaccaria Altarpiece, 1505'] = 'Giovanni Bellini, San Zaccaria Altarpiece, 1505';
catalog['Giovanni Bellini, San Zaccaria Altarpiece, 1505, oil on wood transferred to canvas, 16 feet 5-1/2 inches x 7 feet 9 inches (San Zaccaria, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Giovanni Bellini, San Zaccaria Altarpiece, 1505, oil on wood transferred to canvas, 16 feet 5-1/2 inches x 7 feet 9 inches (San Zaccaria, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Girodet, The Sleep of Endymion'] = 'Girodet, The Sleep of Endymion';
catalog['Give Spout some grippy feet'] = 'Give Spout some grippy feet';
catalog['Given 2 points, write an equation in point-slope form.'] = 'Gegeben sind 2 Punkte. Schreib die entsprechende Punkt-Steigungsform.';
catalog['Given a random assortment of points, find the best fit line for them.'] = 'Bei einer zuf\u00e4lligen Auswahl an Punkten, finde die passende Regressionsgerade.';
catalog['Given a set of vectors, what other vectors can you create by adding and/or subtracting scalar multiples of those vectors.  The set of vectors that you can create through these linear combinations of the original set is called the "span" of the set.'] = 'Gegeben ein Menge an Vektoren, was f\u00fcr andere Vektoren kannst du durch addieren und/oder subtrahieren skalarer Vielfachen dieser Vektoren erzeugen. Die Menge der Vektoren, die du durch diese Linearkombinationen der urspr\u00fcnglichen Vektoren erzeugen kannst nennt man den "Spann" dieser Menge.';
catalog['Given the definition of 2 new operators, evaluate an expression that contains that operator.'] = 'Wenn die Definition von 2 neuen Operatoren gegeben ist, sollst du einen Ausdruck aufstellen, der diesen Operator enth\u00e4lt.';
catalog['Given the definition of a new operator, evaluate an expression that contains that operator.'] = 'Wenn die Definition eines neuen Operators gegeben ist, sollst du einen Ausdruck aufstellen, der diesen Operator enth\u00e4lt.';
catalog['Given the equation of a function, determine the domain.'] = 'Bestimmen die Definitionsmenge einer gegebenen Gleichungsfunktion.';
catalog['Given the equation of a quadratic function, determine the range.'] = 'Die Gleichung einer quadratischen Funktion ist gegeben, bestimme den Wertebereich.';
catalog['Given the graph of a function, determine its domain or range.'] = 'Gegeben ist der Graph einer Funktion. Bestimme den Definitions- oder Wertebereich.';
catalog['Glaciers with chocolate'] = 'Glaciers with chocolate';
catalog['Glass is magical stuff. When you look at a glass object, you might never guess that it was once a hot, flowing liquid that could be inflated or molded or swirled into almost any shape.'] = 'Glass is magical stuff. When you look at a glass object, you might never guess that it was once a hot, flowing liquid that could be inflated or molded or swirled into almost any shape.';
catalog['Glass-making quiz'] = 'Glass-making quiz';
catalog['Glassmaking technique: Roman mold-blown glass'] = 'Glassmaking technique: Roman mold-blown glass';
catalog['Glassmaking technique: cameo glass'] = 'Glassmaking technique: cameo glass';
catalog['Glassmaking technique: core-formed glass'] = 'Glassmaking technique: core-formed glass';
catalog['Glassmaking technique: free-blown glass'] = 'Glassmaking technique: free-blown glass';
catalog['Glassmaking technique: gold glass'] = 'Glassmaking technique: gold glass';
catalog['Glassmaking technique: mold-blown glass'] = 'Glassmaking technique: mold-blown glass';
catalog['Glassmaking technique: mosaic glass'] = 'Glassmaking technique: mosaic glass';
catalog['Glassmaking: An Introduction to its History and Technique'] = 'Glassmaking: An Introduction to its History and Technique';
catalog['Global contemporary art is characterized by a transcendence of traditional conceptions of art and is supported by technological developments and global awareness. Digital technology in particular provides increased access to imagery and contextual information about diverse artists and artworks throughout history and across the globe.'] = 'Global contemporary art is characterized by a transcendence of traditional conceptions of art and is supported by technological developments and global awareness. Digital technology in particular provides increased access to imagery and contextual information about diverse artists and artworks throughout history and across the globe.';
catalog['Global contemporary, 1980-present '] = 'Global contemporary, 1980-present ';
catalog['Global prehistory 30,000-500 B.C.E. '] = 'Global prehistory 30,000-500 B.C.E. ';
catalog['Globalization I - The upside'] = 'Globalisierung I - Die Vorteile';
catalog['Globalization II - good or bad?'] = 'Globalisierung II - Gut oder Schlecht?';
catalog['Glossary Challenge 1'] = 'Glossary Challenge 1';
catalog['Glossary Challenge 2'] = 'Glossary Challenge 2';
catalog['Glossary challenge 10'] = 'Glossary challenge 10';
catalog['Glossary challenge 3'] = 'Glossary challenge 3';
catalog['Glossary challenge 4'] = 'Glossary challenge 4';
catalog['Glossary challenge 5'] = 'Glossary challenge 5';
catalog['Glossary challenge 6'] = 'Glossary challenge 6';
catalog['Glossary challenge 7'] = 'Glossary challenge 7';
catalog['Glossary challenge 8'] = 'Glossary challenge 8';
catalog['Glossary challenge 9'] = 'Glossary challenge 9';
catalog['Gluconeogenesis: the big picture'] = 'Gluconeogenesis: the big picture';
catalog['Gluconeogenesis: unique reactions'] = 'Gluconeogenesis: unique reactions';
catalog['Glucose concentration conversion'] = 'Glucose concentration conversion';
catalog['Glucose insulin and diabetes'] = 'Glucose insulin and diabetes';
catalog['Glycolysis'] = 'Glykolyse';
catalog['Go behind-the-scenes and learn about art conservation in the lab and in the field.'] = 'Blickt hinter die Kulissen und erfahrt mehr \u00fcber die Konservierung im Labor und im Feld.';
catalog['Go through the similarities and differences between the sarcomere and a slingshot!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Go through the similarities and differences between the sarcomere and a slingshot!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Going a bit deeper with our understanding of place value from 2nd grade.  We\'ll apply this knowledge to learn to round things to the nearest 10 and 100.'] = 'Vertiefung der Verst\u00e4ndnis des Stellenwerts. Wir lernen  die Abrundung auf n\u00e4chste 10 oder 100.';
catalog['Going back to the till: Series B'] = 'Going back to the till: Series B';
catalog['Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations'] = 'Einige Beispiele auf der Khan Academy \u00dcbungsseite: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations';
catalog['Going through the mechanics of how a Thai financial institution can lose their shirt when their currency devalues.'] = 'Going through the mechanics of how a Thai financial institution can lose their shirt when their currency devalues.';
catalog['Gold glass is made by sealing gold foil between layers of glass. In the 1500s, circular gold glass was found in the walls of ancient Roman tombs (footage from the Corning Museum of Glass). Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Gold glass is made by sealing gold foil between layers of glass. In the 1500s, circular gold glass was found in the walls of ancient Roman tombs (footage from the Corning Museum of Glass). Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Gold-ground panel painting'] = 'Gold-ground panel painting';
catalog['Golden ratio and Rembrandt\'s self portrait'] = 'Golden ratio and Rembrandt\'s self portrait';
catalog['Golden ratio to find radius of moon'] = 'Golden ratio to find radius of moon';
catalog['Gordon Bunshaft for Skidmore Owings and Merrill, Lever House, 1951-52 (390 Park Avenue, NYC)\n\nSpeakers: Dr. Matthew A. Postal and Dr. Steven Zucker'] = 'Gordon Bunshaft for Skidmore Owings and Merrill, Lever House, 1951-52 (390 Park Avenue, NYC)\n\nSpeakers: Dr. Matthew A. Postal and Dr. Steven Zucker';
catalog['Gordon Bunshaft, Lever House'] = 'Gordon Bunshaft, Lever House';
catalog['Gossaert, Saint Luke Painting the Madonna'] = 'Gossaert, Saint Luke Painting the Madonna';
catalog['Gothic art'] = 'Gothic art';
catalog['Gothic'] = 'Gothic';
catalog['Government spending and the IS-LM model'] = 'Government spending and the IS-LM model';
catalog['Government\'s financial condition'] = 'Government\'s financial condition';
catalog['Governments (and pseudo government entities like central banks) have two tools at their disposal to try to impact the business cycle --monetary and fiscal policy.  This will help you understand what they are.'] = 'Staaten (und pseudo-staatliche Einrichtungen wie Zentralbanken) haben zwei Werkzeuge zur Verf\u00fcgung um den Konjunkturzyklus zu beeinflu\u00dfen - Geld- und Fiskalpolitik. Hier lernst Du was das bedeutet.';
catalog['Goya, Saturn Devouring His Son'] = 'Goya, Saturn Devouring His Son';
catalog['Goya, The Family of Charles IV'] = 'Goya, The Family of Charles IV';
catalog['Graciela Iturbide: hay tiempo (there is time)'] = 'Graciela Iturbide: hay tiempo (there is time)';
catalog['Gradient 1'] = 'Gradient 1';
catalog['Gradient of a scalar field'] = 'Gradient of a scalar field';
catalog['Gradient'] = 'Gradient (grad-Operator)';
catalog['Graham\'s law of diffusion'] = 'Graham\'s law of diffusion';
catalog['Gram-Schmidt example with 3 basis vectors'] = 'Gram-Schmidt example with 3 basis vectors';
catalog['Gram-Schmidt process example'] = 'Gram-Schmidt process example';
catalog['Grant Wood, American Gothic, 1930, oil on beaver board, 78 x 65.3 cm / 30-3/4 x 25-3/4 inches (The Art Institute of Chicago)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Grant Wood, American Gothic, 1930, oil on beaver board, 78 x 65.3 cm / 30-3/4 x 25-3/4 inches (The Art Institute of Chicago)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Graph a linear equation on the coordinate plane.'] = 'Zeichne eine lineare Gleichung in das Koordinatensystem.';
catalog['Graph a linear inequality on the coordinate plane. Determine whether given ordered pairs are solutions.'] = 'Stellen Sie eine lineare Ungleichung im Koordinatensystem grafisch dar. Bestimme, ob die vorgegebenen Wertepaare L\u00f6sungen sind oder nicht.';
catalog['Graph a linear inequality on the coordinate plane. Determine whether the line should be solid or dotted, and shade the proper side.'] = 'Zeichne im Koordinatensystem eine lineare Ungleichung. Bestimme, ob die Linie durchgehend oder gestrichelt sein soll und schattiere die richtige Seite.';
catalog['Graph a parabola given the equation in the form a(x+b)^2+c'] = 'Zeichne eine Parabel mit der Gleichung a(x+b)^2+c';
catalog['Graph a parabola given the equation in the form ax^2+bx+c'] = 'Zeichne eine Parabel, mit der Gleichung ax^2+bx+c gegeben ist';
catalog['Graph a parabola in vertex or standard form.'] = 'Graph einer Parabel in Scheitelpunkt-oder Standardform.';
catalog['Graph a point and indicate which quadrant it is in on the coordinate plane.'] = 'Einen Punkt zeichnen und den Quadrant in der Koordinatenebene angeben.';
catalog['Graph a system of equations in slope-intercept or standard form'] = 'Zeichne ein Gleichungssystem in Steigung-Achsenabschnitt-Form oder allgemeiner Form';
catalog['Graph a system of inequalities, and determine whether ordered pairs are solutions.'] = 'Zeichne den Graphen eines Ungleichungssystems und bestimme, ob ein Zahltupel eine L\u00f6sung ist.';
catalog['Graph a system of linear inequalities.'] = 'Zeichne ein lineares Ungleichungssystem';
catalog['Graph circles from equations in general form'] = 'Graph circles from equations in general form';
catalog['Graph circles from equations in standard form'] = 'Graph circles from equations in standard form';
catalog['Graphical Relations and Functions'] = 'Grafische Relationen und Funktionen';
catalog['Graphical Slope of a Line'] = 'Grafische Steigung einer Geraden';
catalog['Graphical Systems Application Problem'] = 'Grafisches Systeme Anwendungsproblem';
catalog['Graphical relations and functions'] = 'Grafische Relationen und Funktionen';
catalog['Graphical slope of a line'] = 'Grafische Steigung einer Geraden';
catalog['Graphical solutions to systems'] = 'Graphische L\u00f6sung von Systemen';
catalog['Graphical systems application problem'] = 'Grafisches Systeme Anwendungsproblem';
catalog['Graphically adding and subtracting vectors'] = 'Graphically adding and subtracting vectors';
catalog['Graphically understanding solution methods to systems of equations'] = 'L\u00f6sungsverfahren f\u00fcr Gleichungssysteme grafisch verstehen';
catalog['Graphing Exponential Functions'] = 'Exponentielle Funktionen zeichnen';
catalog['Graphing Inequalities 2'] = 'Graphische Darstellung von Ungleichungen 2';
catalog['Graphing Inequalities'] = 'Graphische Ungleichungen';
catalog['Graphing Linear Inequalities in Two Variables'] = 'Grafische Darstellung von linearen Ungleichungen mit zwei Variablen';
catalog['Graphing Natural Logarithm Function'] = 'Grafische Darstellung der nat\u00fcrlichen Logarithmusfunktion';
catalog['Graphing Radical Functions'] = 'Wurzelfunktionen zeichnen';
catalog['Graphing Systems of Equations'] = 'Gleichungssysteme zeichnen';
catalog['Graphing a  Basic Function'] = 'Grafische Darstellung eine Grundfunktion';
catalog['Graphing a line in slope intercept form'] = 'Grafische Darstellung einer Linie mit Hilfe der allgemeinen Geradengleichung';
catalog['Graphing a parabola  with a table of values'] = 'Grafische Darstellung einer Parabel mit einer Wertetabelle';
catalog['Graphing a parabola by finding the roots and vertex'] = 'Grafische Darstellung einer Parabel durch Suche nach den Wurzeln und Scheitelpunkt';
catalog['Graphing a parabola in vertex form'] = 'Eine Parabel in Scheitelform zeichnen';
catalog['Graphing a parabola using roots and vertex'] = 'Grafische Darstellung einer Parabel mit Wurzeln und Scheitelpunkt';
catalog['Graphing a parabola with a table of values'] = 'Grafische Darstellung einer Parabel mit einer Wertetabelle';
catalog['Graphing a sin curve to think about its domain and range.'] = 'Grafische Darstellung einer Sinus-Kurve um \u00fcber Definitionsbereich und Wertebereich nachzudenken.';
catalog['Graphing and analyzing linear equations'] = 'Skizzieren und analysieren linearer Gleichungen';
catalog['Graphing and analyzing linear functions'] = 'Grafische Darstellung und Analyse von linearen Funktionen';
catalog['Graphing and analyzing proportional relationships'] = 'Zeichnen und analysieren prportionaler Verh\u00e4ltnisse';
catalog['Graphing and solving linear inequalities'] = 'Lineare Ungleichungen grafisch darstellen und l\u00f6sen';
catalog['Graphing and solving systems of inequalities'] = 'Grafische Darstellung und L\u00f6sung f\u00fcr Ungleichungen';
catalog['Graphing circles 2'] = 'Zeichnen von Kreisen 2';
catalog['Graphing circles'] = 'Zeichnen von Kreisen';
catalog['Graphing exponential functions'] = 'Exponentielle Funktionen grafisch darstellen';
catalog['Graphing functions using derivatives.'] = 'Funktionen zeichnen mit Ableitungen.';
catalog['Graphing functions'] = 'Funktionen zeichnen';
catalog['Graphing inequalities 1'] = 'Graphische Darstellung von Ungleichungen 1';
catalog['Graphing inequalities 2'] = 'Graphische Darstellung von Ungleichungen 2';
catalog['Graphing linear equations in slope-intercept form'] = 'Lineare Gleichungen in Geradenfrom zeichnen';
catalog['Graphing linear equations'] = 'Grafische Darstellung von linearen Gleichungen';
catalog['Graphing linear functions'] = 'Lineare Funktionen zeichnen';
catalog['Graphing linear inequalities in two variables 3'] = 'Darstellen linearer Ungleichungen in zwei Variablen 3';
catalog['Graphing linear inequalities in two variables example 2'] = 'Grafische Darstellung von linearen Ungleichungen mit zwei Variablen Beispiel 2';
catalog['Graphing linear inequalities in two variables'] = 'Grafische Darstellung von linearen Ungleichungen mit zwei Variablen';
catalog['Graphing linear inequalities'] = 'Darstellen linearer Ungleichungen';
catalog['Graphing lines 1'] = 'Linien grafisch darstellen 1';
catalog['Graphing logarithmic functions'] = 'den Graph Logarithmischer Funtkionen zeichnen';
catalog['Graphing natural logarithm function'] = 'Grafische Darstellung der nat\u00fcrlichen Logarithmusfunktion';
catalog['Graphing parabolas in all forms'] = 'Grafische Darstellung von Parabeln in allen Formen';
catalog['Graphing parabolas in standard form'] = 'Parabeln in allgemeiner Form zeichnen';
catalog['Graphing parabolas in vertex form'] = 'Parabeln in Scheitelform zeichnen';
catalog['Graphing points and naming quadrants exercise'] = 'Einzeichnen der Punkte und Benennung des Quadranten - \u00dcbung';
catalog['Graphing points and naming quadrants'] = 'Grafische Darstellung von Punkten und Benennung der Quadranten';
catalog['Graphing points exercise'] = 'Werte graphisch darstellen';
catalog['Graphing points'] = 'Punkte grafisch darstellen';
catalog['Graphing proportional relationships example 2'] = 'Proportionale Beziehungen grafisch darstellen - Beispiel 2';
catalog['Graphing proportional relationships example 3'] = 'Proportionale Beziehungen grafisch darstellen - Beispiel 3';
catalog['Graphing proportional relationships example'] = 'Proportionale Beziehungen grafisch darstellen - Beispiel';
catalog['Graphing proportional relationships'] = 'Grafische Darstellung proportionaler Beziehungen';
catalog['Graphing quadratics'] = 'Quadratische Gleichungen zeichnen';
catalog['Graphing rational functions'] = 'Rationelle Funktionen zeichnen';
catalog['Graphing relationship between rate and duration'] = 'Grafische Darstellung der Beziehung zwischen Rate und Dauer';
catalog['Graphing solutions to equations'] = 'L\u00f6sungen von Gleichungen zeichnen';
catalog['Graphing systems of equations'] = 'Gleichungssysteme zeichnen';
catalog['Graphing systems of inequalities 2'] = 'Grafische Darstellung von Ungleichungen 2';
catalog['Graphing systems of inequalities'] = 'Ungleichungssysteme graphisch darstellen';
catalog['Graphing using X and Y intercepts'] = 'Grafische L\u00f6sung mit X- und Y-Achsenschnitt';
catalog['Graphing using derivatives'] = 'Zeichnen mit Ableitungen';
catalog['Graphing using intercepts'] = 'Grafische Darstellung mit Achsenabschnitten';
catalog['Graphing using x- and y-intercepts'] = 'Grafische Darstellung mit X- und Y- Koordinaten';
catalog['Graphing variable cost, fixed cost and total cost'] = 'Grafische Darstellung der variablen Kosten, Fixkosten und Gesamtkosten';
catalog['Graphs and modeling with trig functions'] = 'Graphs and modeling with trig functions';
catalog['Graphs of Square Root Functions'] = 'Graphen von Funktionen mit Quadratwurzel';
catalog['Graphs of absolute value functions'] = 'Graphs of absolute value functions';
catalog['Graphs of exponentials and logarithms'] = 'Graphs of exponentials and logarithms';
catalog['Graphs of functions and their derivatives example 1'] = 'Graphs of functions and their derivatives example 1';
catalog['Graphs of functions and their derivatives'] = 'Graphs of functions and their derivatives';
catalog['Graphs of inequalities in two variables'] = 'Grafen von Ungleichungen in zwei Variablen';
catalog['Graphs of linear equations'] = 'Graphen von linearen Gleichungen';
catalog['Graphs of logarithmic functions'] = 'Graphen von logarithmischen Funktionen';
catalog['Graphs of piecewise functions'] = 'Graphen von st\u00fcckweisen Funktionen';
catalog['Graphs of polynomials'] = 'Graphen von Polynomen';
catalog['Graphs of rational functions'] = 'Graphs of rational functions';
catalog['Graphs of sine and cosine'] = 'Graphen von Sinus und Kosinus';
catalog['Graphs of square root functions'] = 'Graphs of square root functions';
catalog['Graphs of trig functions'] = 'Graphen trigonometrischer Funktionen';
catalog['Graphs of trigonometric functions'] = 'Graphs of trigonometric functions';
catalog['GrassTrimmed'] = 'GrassTrimmed';
catalog['Gravitation (part 2)'] = 'Gravitation (Teil 2)';
catalog['Gravitation'] = 'Gravitation';
catalog['Gravity for astronauts in orbit'] = 'Gravity for astronauts in orbit';
catalog['Gravity, Weak, Electromagnetic and Strong'] = 'Schwerkraft, schwache Wechselwirkung, elektromagnetische Kraft und starke Wechselwirkung';
catalog['Great glands - Your endocrine system'] = 'Gro\u00dfe Dr\u00fcsen - dein Hormonsystem';
catalog['Greater than and less than basics'] = 'Die Grundlagen von "gr\u00f6\u00dfer als" und "kleiner als"';
catalog['Greater than and less than symbols'] = 'Gr\u00f6\u00dfer-als und kleiner-als Symbole';
catalog['Greatest common divisor factor exercise'] = 'Gr\u00f6\u00dfter gemeinsamer Teiler - Beispiel';
catalog['Greatest common divisor'] = 'Gr\u00f6\u00dfter gemeinsamer Teiler';
catalog['Greatest common factor'] = 'gr\u00f6\u00dfter gemeinsamer Teiler';
catalog['Greek Debt Crisis'] = 'Griechische Schuldenkrise';
catalog['Greek debt recession and austerity (part 1)'] = 'Greek debt recession and austerity (part 1)';
catalog['Greek financial crisis (part 2)'] = 'Greek financial crisis (part 2)';
catalog['Greeks and Persians'] = 'Griechen und Perser';
catalog['Green bean matherole'] = 'Green bean matherole';
catalog['Green, copper-based paint has destroyed its fabric backing in this Southeast Asian painting from the Doris Duke Collection. See how conservators are patching all the green areas of the painting.&nbsp; <a href="http://www.asianart.org/collections/art-conservation">Learn more about conservation at the Asian Art Museum</a>.'] = 'Green, copper-based paint has destroyed its fabric backing in this Southeast Asian painting from the Doris Duke Collection. See how conservators are patching all the green areas of the painting.&nbsp; <a href="http://www.asianart.org/collections/art-conservation">Learn more about conservation at the Asian Art Museum</a>.';
catalog['Green\'s and Stokes\' theorem relationship'] = 'Green\'s and Stokes\' theorem relationship';
catalog['Green\'s theorem example 1'] = 'Green\'s theorem example 1';
catalog['Green\'s theorem example 2'] = 'Green\'s theorem example 2';
catalog['Green\'s theorem proof (part 2)'] = 'Green\'s theorem proof (part 2)';
catalog['Green\'s theorem proof part 1'] = 'Green\'s theorem proof part 1';
catalog['Green\'s theorem'] = 'Greensche Funktion';
catalog['Grids and area models to visualize multiplication'] = 'Raster-Zerlegung und Fl\u00e4chen-Modelle zur Visualisierung von Multiplikation';
catalog['Gros, Napoleon Bonaparte Visiting the Plague-Stricken in Jaffa'] = 'Gros, Napoleon Bonaparte Visiting the Plague-Stricken in Jaffa';
catalog['Gross and operating profit'] = 'Gross and operating profit';
catalog['Group Header'] = 'Group Header';
catalog['Group Name'] = 'Gruppenname';
catalog['Group Report'] = 'Group Report';
catalog['Group trend for ionization energy'] = 'Group trend for ionization energy';
catalog['Group'] = 'Gruppe';
catalog['Groups of tens'] = 'Gruppen von Zehnern';
catalog['Groups of the periodic table'] = 'Groups of the periodic table';
catalog['Groups'] = 'Gruppen';
catalog['Growing a quantity by a percentage'] = 'Erh\u00f6hen einer Menge um einen Prozentsatz';
catalog['Growing by a percentage'] = 'Erh\u00f6hen um einen Prozentsatz';
catalog['Growth Curves'] = 'Wachstumskurven';
catalog['Growth and Metabolism'] = 'Wachstum und Stoffwechsel';
catalog['Guardian King of the West'] = 'Guardian King of the West';
catalog['Guercino, Saint Luke Displaying a Painting of the Virgin'] = 'Guercino, Saint Luke Displaying a Painting of the Virgin';
catalog['Guercino, St. Luke Displaying a Painting of the Virgin, oil on canvas, 1652-53\n(Nelson-Atkins Museum of Art, Kansas City)'] = 'Guercino, St. Luke Displaying a Painting of the Virgin, oil on canvas, 1652-53\n(Nelson-Atkins Museum of Art, Kansas City)';
catalog['Gustation - structure and function'] = 'Gustation - structure and function';
catalog['Gustav Klimt, Beethoven Frieze'] = 'Gustav Klimt, Beethoven Frieze';
catalog['Gustav Klimt, Beethoven Frieze, Vienna Secession, 1902\n\nA conversation with Khan Academy\'s Dr. Steven Zucker and Dr. Beth Harris'] = 'Gustav Klimt, Beethoven Frieze, Vienna Secession, 1902\n\nA conversation with Khan Academy\'s Dr. Steven Zucker and Dr. Beth Harris';
catalog['Gustav Klimt, Death and Life, 1910, reworked 1915, oil on canvas, 178 x 198 cm (Leopold Museum, Vienna)'] = 'Gustav Klimt, Death and Life, 1910, reworked 1915, oil on canvas, 178 x 198 cm (Leopold Museum, Vienna)';
catalog['Gustav Klimt, The Kiss'] = 'Gustav Klimt, The Kiss';
catalog['Gustav Klimt, The Kiss, 1907-8, oil and gold leaf on canvas, 180 x 180 cm (\u00d6sterreichische Galerie Belvedere, Vienna)'] = 'Gustav Klimt, Der Kuss, 1907-8, \u00d6l und Blattgold auf Leinwand, 180 x 180 cm (\u00d6sterreichische Galerie Belvedere, Wien)';
catalog['Gustave Caillebotte, Man at his Bath, 1884, oil on canvas, 57 x 45 in. (144.8 x\n114.3 cm), (Private Collection, on loan to the National Gallery, London)\n\nSpeakers: Dr. Parme Giuntini, Director of Art History, Otis College of Art and Design\nDr. Robert Summers, Lecturer, Otis College of Art and Design'] = 'Gustave Caillebotte, Man at his Bath, 1884, oil on canvas, 57 x 45 in. (144.8 x\n114.3 cm), (Private Collection, on loan to the National Gallery, London)\n\nSpeakers: Dr. Parme Giuntini, Director of Art History, Otis College of Art and Design\nDr. Robert Summers, Lecturer, Otis College of Art and Design';
catalog['Gustave Caillebotte, Paris Street; Rainy Day'] = 'Gustave Caillebotte, Paris Street; Rainy Day';
catalog['Gustave Caillebotte, Paris Street; Rainy Day, 1877, oil on canvas\n83-1/2 x 108-3/4 inches / 212.2 x 276.2 cm (The Art Institute of Chicago). In the Google Art Project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/paris-street-rainy-day-gustave-caillebotte/425239/\n\nView this work up close on the Google Art Project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/paris-street-rainy-day-gustave-caillebotte/425239/'] = 'Gustave Caillebotte, Paris Street; Rainy Day, 1877, oil on canvas\n83-1/2 x 108-3/4 inches / 212.2 x 276.2 cm (The Art Institute of Chicago). In the Google Art Project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/paris-street-rainy-day-gustave-caillebotte/425239/\n\nView this work up close on the Google Art Project: http://www.googleartproject.com/collection/the-art-institute-of-chicago/artwork/paris-street-rainy-day-gustave-caillebotte/425239/';
catalog['Gustave Caillebotte, The Floor Scrapers (Les raboteurs de parquet), 1875, oil on canvas, 102 x 146.5 cm (Mus\u00e9e d\'Orsay, Paris).\nSpeakers: Dr. Parmi Giuntini, Director of Art History, Otis College of Art and Design\nand Dr. Robert Summers, lecturer, Otis College of Art and Design'] = 'Gustave Caillebotte, The Floor Scrapers (Les raboteurs de parquet), 1875, oil on canvas, 102 x 146.5 cm (Mus\u00e9e d\'Orsay, Paris).\nSpeakers: Dr. Parmi Giuntini, Director of Art History, Otis College of Art and Design\nand Dr. Robert Summers, lecturer, Otis College of Art and Design';
catalog['Gustave Courbet, A Burial at Ornans, begun late summer 1849, completed 1850, exhibited at the Salon of 1850-51, 124 x 260 inches, oil on canvas (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Gustave Courbet, A Burial at Ornans, begun late summer 1849, completed 1850, exhibited at the Salon of 1850-51, 124 x 260 inches, oil on canvas (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Gustave Courbet, The Artist\'s Studio; A real allegory summing up seven years of my artistic and moral life, oil on canvas, 1854-55 (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Gustave Courbet, The Artist\'s Studio; A real allegory summing up seven years of my artistic and moral life, oil on canvas, 1854-55 (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Gustave Courbet\'s painting technique'] = 'Gustave Courbet\'s painting technique';
catalog['H\u00f6ch, Cut with the Kitchen Knife Dada Through the Last Weimar Beer-Belly Cultural Epoch of Germany'] = 'H\u00f6ch, Cut with the Kitchen Knife Dada Through the Last Weimar Beer-Belly Cultural Epoch of Germany';
catalog['Hadean weather forecast'] = 'Hadean weather forecast';
catalog['Hadrian built himself a vast palace in the countryside, the villa Adriana in Tivoli about 30 kilometres east of Rome. It was a huge complex, designed to accommodate thousands of people. It was his administrative capital and represents his empire in miniature. British Museum Director Neil MacGregor visits.<br>'] = 'Hadrian built himself a vast palace in the countryside, the villa Adriana in Tivoli about 30 kilometres east of Rome. It was a huge complex, designed to accommodate thousands of people. It was his administrative capital and represents his empire in miniature. British Museum Director Neil MacGregor visits.<br>';
catalog['Hadrian: building the wall'] = 'Hadrian: building the wall';
catalog['Hadrian: the imperial palace'] = 'Hadrian: the imperial palace';
catalog['Hadrian: the power of image'] = 'Hadrian: the power of image';
catalog['Hadrian\'s Villa, Tivoli: A virtual tour'] = 'Hadrian\'s Villa, Tivoli: A virtual tour';
catalog['Hair Dryer'] = 'Haartrockner';
catalog['Hair dryer'] = 'Hair dryer';
catalog['Hairier example of combining like terms in an expression'] = 'Haarigeres Beispiel zum Zusammenf\u00fchren gleichartiger Terme in einem Ausdruck';
catalog['Hairy differential equation involving a step function that we use the Laplace Transform to solve.'] = 'Hairy differential equation involving a step function that we use the Laplace Transform to solve.';
catalog['Haitian Revolution (Part 1)'] = 'Revolution von Haiti (Teil 1)';
catalog['Haitian Revolution (Part 2)'] = 'Revolution von Haiti (Teil 2)';
catalog['Haitian Revolution'] = 'Haitianische Revolution';
catalog['Half equivalence point'] = 'Half equivalence point';
catalog['Half-life'] = 'Half-life';
catalog['Halogenation and ozonolysis of alkynes'] = 'Halogenation and ozonolysis of alkynes';
catalog['Halogenation'] = 'Halogenation';
catalog['Halohydrin formation'] = 'Halohydrin formation';
catalog['Hals, Singing Boy with Flute'] = 'Hals, Singing Boy with Flute';
catalog['Halves and fourths'] = 'H\u00e4lften und Viertel';
catalog['Hank Green teaches you biology! \nLearn, study and understand the science of life. \nTopics covered range from: taxonomy, systems, biological molecules, photosynthesis, evolution, animals, plants, anatomy, and ecology.'] = 'Hank Green teaches you biology! \nLearn, study and understand the science of life. \nTopics covered range from: taxonomy, systems, biological molecules, photosynthesis, evolution, animals, plants, anatomy, and ecology.';
catalog['Hank Green teaches you ecology!  \nLearn, study and understand how organisms relate to one another and to their surroundings.  Start with the history of life on earth, then cover population ecology, community ecology, ecosystem ecology, and conservation and restoration ecology.'] = 'Hank Green teaches you ecology!  \nLearn, study and understand how organisms relate to one another and to their surroundings.  Start with the history of life on earth, then cover population ecology, community ecology, ecosystem ecology, and conservation and restoration ecology.';
catalog['Hank Green teaches you ecology!  \nLearn, study and understand how organisms relate to one another and to their surroundings.  Start with the history of life on earth, then cover topics ranging from population ecology, community ecology, ecosystem ecology, to conservation and restoration ecology.'] = 'Hank Green teaches you ecology!  \nLearn, study and understand how organisms relate to one another and to their surroundings.  Start with the history of life on earth, then cover topics ranging from population ecology, community ecology, ecosystem ecology, to conservation and restoration ecology.';
catalog['Hank and his brother John discuss heredity via the gross example of relative ear wax moistness.&nbsp;'] = 'Hank and his brother John discuss heredity via the gross example of relative ear wax moistness.&nbsp;';
catalog['Hank and his cat Cameo help teach us about animal behavior and how we can discover why animals do the things they do.'] = 'Hank and his cat Cameo help teach us about animal behavior and how we can discover why animals do the things they do.';
catalog['Hank begins a series of videos on organ systems with a look at the nervous system and all of the things that it is responsible for in the body.'] = 'Hank begins a series of videos on organ systems with a look at the nervous system and all of the things that it is responsible for in the body.';
catalog['Hank continues our exploration of animal phyla with the more complexly organized annelida and arthropoda, and a biolography on insects.'] = 'Hank continues our exploration of animal phyla with the more complexly organized annelida and arthropoda, and a biolography on insects.';
catalog['Hank describes how cells regulate their contents and communicate with one another via mechanisms within the cell membrane.'] = 'Hank describes how cells regulate their contents and communicate with one another via mechanisms within the cell membrane.';
catalog['Hank describes mitosis and cytokinesis - the series of processes our cells go through to divide into two identical copies.'] = 'Hank describes mitosis and cytokinesis - the series of processes our cells go through to divide into two identical copies.';
catalog['Hank describes why plants are so freaking amazing - discussing their evolution, and how their cells are both similar to &amp; different from animal cells.'] = 'Hank describes why plants are so freaking amazing - discussing their evolution, and how their cells are both similar to &amp; different from animal cells.';
catalog['Hank discusses the process by which&nbsp;organisms grow and&nbsp;develop,&nbsp;maintaining that, in the end, we&#39;re all&nbsp;just tubes.'] = 'Hank discusses the process by which&nbsp;organisms grow and&nbsp;develop,&nbsp;maintaining that, in the end, we&#39;re all&nbsp;just tubes.';
catalog['Hank explains speciation - the evolutionary process by which new biological species arise - in terms of finches, ligers, mules, and dogs.&nbsp;'] = 'Hank explains speciation - the evolutionary process by which new biological species arise - in terms of finches, ligers, mules, and dogs.&nbsp;';
catalog['Hank explains the extremely complex series of reactions whereby plants feed themselves on sunlight, carbon dioxide and water, and also create some by products we&#39;re pretty fond of as well.'] = 'Hank explains the extremely complex series of reactions whereby plants feed themselves on sunlight, carbon dioxide and water, and also create some by products we&#39;re pretty fond of as well.';
catalog['Hank fills us in on the endocrine system - the system of glands which produce and secrete different types of hormones directly into the bloodstream to regulate the body&#39;s growth, metabolism, and sexual development &amp; function.'] = 'Hank fills us in on the endocrine system - the system of glands which produce and secrete different types of hormones directly into the bloodstream to regulate the body&#39;s growth, metabolism, and sexual development &amp; function.';
catalog['Hank gets down to the nitty gritty about meiosis, the special type of cell division that is necessary for sexual reproduction in eukaryotic organisms.'] = 'Hank gets down to the nitty gritty about meiosis, the special type of cell division that is necessary for sexual reproduction in eukaryotic organisms.';
catalog['Hank gets into the dirty details about vascular plant reproduction: they use the basic alternation of generations developed by nonvascular plants 470 million years ago, but they&#39;ve tricked it out so that it works a whole lot differently compared to the way it did back in the Ordovician swamps where it got its start. Here&#39;s how the vascular plants (ferns, gymnosperms and angiosperms) do it.'] = 'Hank gets into the dirty details about vascular plant reproduction: they use the basic alternation of generations developed by nonvascular plants 470 million years ago, but they&#39;ve tricked it out so that it works a whole lot differently compared to the way it did back in the Ordovician swamps where it got its start. Here&#39;s how the vascular plants (ferns, gymnosperms and angiosperms) do it.';
catalog['Hank gets real with us in a discussion of evolution - it&#39;s a thing, not a debate. Gene distribution changes over time, across successive generations, to give rise to diversity at every level of biological organization.'] = 'Hank gets real with us in a discussion of evolution - it&#39;s a thing, not a debate. Gene distribution changes over time, across successive generations, to give rise to diversity at every level of biological organization.';
catalog['Hank guides us through the process of natural selection, the key mechanism of evolution.'] = 'Hank guides us through the process of natural selection, the key mechanism of evolution.';
catalog['Hank imagines himself breaking into the Hot Pockets factory to steal their secret recipes and instruction manuals in order to help us understand how the processes known as DNA transcription and translation allow our cells to build proteins.'] = 'Hank imagines himself breaking into the Hot Pockets factory to steal their secret recipes and instruction manuals in order to help us understand how the processes known as DNA transcription and translation allow our cells to build proteins.';
catalog['Hank introduces us to comparative anatomy, which studies the similarities and differences in animal anatomy to support the theory of evolution and the shared ancestry of living things.'] = 'Hank introduces us to comparative anatomy, which studies the similarities and differences in animal anatomy to support the theory of evolution and the shared ancestry of living things.';
catalog['Hank introduces us to ecology - the study of the rules of engagement for all of us earthlings - which seeks to explain why the world looks and acts the way it does. The world is crammed with things, both animate and not, that have been interacting with each other all the time, every day, since life on this planet began, and these interactions depend mostly on just two things... Learn what they are as Crash Course Biology takes its final voyage outside the body and into the entire world.&nbsp;'] = 'Hank introduces us to ecology - the study of the rules of engagement for all of us earthlings - which seeks to explain why the world looks and acts the way it does. The world is crammed with things, both animate and not, that have been interacting with each other all the time, every day, since life on this planet began, and these interactions depend mostly on just two things... Learn what they are as Crash Course Biology takes its final voyage outside the body and into the entire world.&nbsp;';
catalog['Hank introduces us to nonvascular plants - liverworts, hornworts &amp; mosses - which have bizarre features, kooky habits, and strange sex lives. Nonvascular plants inherited their reproductive cycle from algae, but have perfected it to the point where it is now used by all plants in one way or another, and has even left traces in our own reproductive systems.'] = 'Hank introduces us to nonvascular plants - liverworts, hornworts &amp; mosses - which have bizarre features, kooky habits, and strange sex lives. Nonvascular plants inherited their reproductive cycle from algae, but have perfected it to the point where it is now used by all plants in one way or another, and has even left traces in our own reproductive systems.';
catalog['Hank introduces us to one of the most diverse and important families in the tree of life - the vascular plants. These plants have found tremendous success and the their secret is also their defining trait: conductive tissues that can take food and water from one part of a plant to another part. Though it sounds simple, the ability to move nutrients and water from one part of an organism to another was a evolutionary breakthrough for vascular plants, allowing them to grow exponentially larger, store food for lean times, and develop features that allowed them to spread farther and faster. Plants dominated the earth long before animals even showed up, and even today hold the world records for the largest, most massive, and oldest organisms on the planet.'] = 'Hank introduces us to one of the most diverse and important families in the tree of life - the vascular plants. These plants have found tremendous success and the their secret is also their defining trait: conductive tissues that can take food and water from one part of a plant to another part. Though it sounds simple, the ability to move nutrients and water from one part of an organism to another was a evolutionary breakthrough for vascular plants, allowing them to grow exponentially larger, store food for lean times, and develop features that allowed them to spread farther and faster. Plants dominated the earth long before animals even showed up, and even today hold the world records for the largest, most massive, and oldest organisms on the planet.';
catalog['Hank introduces us to ourselves by taking us on a journey through the fascinatingly diverse phyla known as chordata. And the next time someone asks you who you are, you can give them the facts: you&#39;re a mammalian amniotic tetrapodal sarcopterygian osteichthyen gnathostomal vertebrate cranial chordate.'] = 'Hank introduces us to ourselves by taking us on a journey through the fascinatingly diverse phyla known as chordata. And the next time someone asks you who you are, you can give them the facts: you&#39;re a mammalian amniotic tetrapodal sarcopterygian osteichthyen gnathostomal vertebrate cranial chordate.';
catalog['Hank introduces us to that wondrous molecule deoxyribonucleic acid - also known as DNA - and explains how it replicates itself in our cells.'] = 'Hank introduces us to that wondrous molecule deoxyribonucleic acid - also known as DNA - and explains how it replicates itself in our cells.';
catalog['Hank introduces us to the &quot;simplest&quot; of the animals, complexity-wise: beginning with sponges (whose very inclusion in the list as &quot;animals&quot; has been called into question because they are so simple) and finishing with the most complex molluscs, octopuses and squid. We differentiate them by the number of tissue layers they have, and by the complexity of those layers.'] = 'Hank introduces us to the &quot;simplest&quot; of the animals, complexity-wise: beginning with sponges (whose very inclusion in the list as &quot;animals&quot; has been called into question because they are so simple) and finishing with the most complex molluscs, octopuses and squid. We differentiate them by the number of tissue layers they have, and by the complexity of those layers.';
catalog['Hank introduces us to the framework of our bodies, our skeleton, which apart from being the support and protection for all our fleshy parts, is involved in many other vital processes that help our bodies to function properly.'] = 'Hank introduces us to the framework of our bodies, our skeleton, which apart from being the support and protection for all our fleshy parts, is involved in many other vital processes that help our bodies to function properly.';
catalog['Hank introduces us to the relatively new field of evolutionary developmental biology, which compares the developmental processes of different organisms to determine their ancestral relationship, and to discover how those processes evolved. Also fruit flies with eyes on their legs and chickens with teeth!'] = 'Hank introduces us to the relatively new field of evolutionary developmental biology, which compares the developmental processes of different organisms to determine their ancestral relationship, and to discover how those processes evolved. Also fruit flies with eyes on their legs and chickens with teeth!';
catalog['Hank lets us in on the meaning of life, at least from a biological perspective - it&#39;s reproduction, which answers the essential question of all organisms: how do I make more of myself? So, sex, how does it work?&nbsp;'] = 'Hank lets us in on the meaning of life, at least from a biological perspective - it&#39;s reproduction, which answers the essential question of all organisms: how do I make more of myself? So, sex, how does it work?&nbsp;';
catalog['Hank takes us on a trip around the body - we follow the circulatory and respiratory systems as they deliver oxygen and remove carbon dioxide from cells, and help make it possible for our bodies to function.'] = 'Hank takes us on a trip around the body - we follow the circulatory and respiratory systems as they deliver oxygen and remove carbon dioxide from cells, and help make it possible for our bodies to function.';
catalog['Hank takes us on the fascinating journey through our excretory system to learn how our kidneys make pee.'] = 'Hank takes us on the fascinating journey through our excretory system to learn how our kidneys make pee.';
catalog['Hank takes us through the bowels of the human digestive system and explains why it&#39;s all about surface area.'] = 'Hank takes us through the bowels of the human digestive system and explains why it&#39;s all about surface area.';
catalog['Hank talks about population genetics, which helps to explain the evolution of populations over time by combing the principles of Mendel and Darwin, and by means of the Hardy-Weinberg equation.'] = 'Hank talks about population genetics, which helps to explain the evolution of populations over time by combing the principles of Mendel and Darwin, and by means of the Hardy-Weinberg equation.';
catalog['Hank talks about the molecules that make up every living thing - carbohydrates, lipids, and proteins - and how we find them in our environment and in the food that we eat.'] = 'Hank talks about the molecules that make up every living thing - carbohydrates, lipids, and proteins - and how we find them in our environment and in the food that we eat.';
catalog['Hank teaches us why water is one of the most fascinating and important substances in the universe.'] = 'Hank teaches us why water is one of the most fascinating and important substances in the universe.';
catalog['Hank tells us about the city of Eukaryopolis - the animal cell that is responsible for all the cool things that happen in our bodies.'] = 'Hank tells us about the city of Eukaryopolis - the animal cell that is responsible for all the cool things that happen in our bodies.';
catalog['Hank tells us about the team of deadly ninja assassins that is tasked with protecting our bodies from all the bad guys that want to kill us - also known as our immune system.'] = 'Hank tells us about the team of deadly ninja assassins that is tasked with protecting our bodies from all the bad guys that want to kill us - also known as our immune system.';
catalog['Hank tells us the background story and explains the importance of the science of classifying living things, also known as taxonomy.'] = 'Hank tells us the background story and explains the importance of the science of classifying living things, also known as taxonomy.';
catalog['Hank tells us the story of the complicated chemical dance that allows our skeletal muscles to contract and relax.'] = 'Hank tells us the story of the complicated chemical dance that allows our skeletal muscles to contract and relax.';
catalog['Hank veers away from human anatomy to teach us about the (mostly) single-celled organisms that make up two of the three taxonomic domains of life, and one of the four kingdoms: Archaea, Bacteria, and Protists. They are by far the most abundant organisms on Earth, and are our oldest, oddest relatives.'] = 'Hank veers away from human anatomy to teach us about the (mostly) single-celled organisms that make up two of the three taxonomic domains of life, and one of the four kingdoms: Archaea, Bacteria, and Protists. They are by far the most abundant organisms on Earth, and are our oldest, oddest relatives.';
catalog['Hannah H\u00f6ch, Cut with the Kitchen Knife Dada Through the Last Weimar Beer-Belly Cultural Epoch of Germany, collage, mixed media, 1919-1920'] = 'Hannah H\u00f6ch, Cut with the Kitchen Knife Dada Through the Last Weimar Beer-Belly Cultural Epoch of Germany, collage, mixed media, 1919-1920';
catalog['Hans Christian \u00d8rsted made this famous observation in 1819.'] = 'Hans Christian \u00d8rsted machte diese ber\u00fchmten Beobachtung im Jahre 1819.';
catalog['Hans Haacke, Seurat\'s \'Les Poseuses\' (small version)'] = 'Hans Haacke, Seurat\'s \'Les Poseuses\' (small version)';
catalog['Hans Holbein the Younger, Christina of Denmark, Duchess of Milan, 1538, oil on oak, 179.1 x 82.6 cm (The National Gallery, London)'] = 'Hans Holbein the Younger, Christina of Denmark, Duchess of Milan, 1538, oil on oak, 179.1 x 82.6 cm (The National Gallery, London)';
catalog['Hans Holbein the Younger, Portrait of Henry VIII, 1540, oil on panel (Palazzo Barberini, Rome).\n\nPlease note: there have been questions raised as to whether this painting is by Holbein or his workshop, or perhaps a later copy; recent research suggests that it is an original Holbein.'] = 'Hans Holbein the Younger, Portrait of Henry VIII, 1540, oil on panel (Palazzo Barberini, Rome).\n\nPlease note: there have been questions raised as to whether this painting is by Holbein or his workshop, or perhaps a later copy; recent research suggests that it is an original Holbein.';
catalog['Hans Holbein the Younger, The Ambassadors, 1533, oil on oak, 207 x 209.5 cm (The National Gallery, London). In the Google Art Project: http://www.googleartproject.com/collection/the-national-gallery-london/artwork/the-ambassadors-hans-holbein-the-younger/328434/'] = 'Hans Holbein der J\u00fcngere, Die Gesandten, 1533, \u00d6l auf Eiche, 207 x 209,5 cm (The National Gallery, London). Im Google Art Project: http://www.googleartproject.com/collection/the-national-gallery-london/artwork/the-ambassadors-hans-holbein-the-younger/328434/';
catalog['Hans Holbein the Younger, The Merchant Georg Gisze, 1532, oil on oak, 97.5 x 86.2 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin)'] = 'Hans Holbein the Younger, The Merchant Georg Gisze, 1532, oil on oak, 97.5 x 86.2 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin)';
catalog['Happiest at home with his notebooks and his microscope, he shunned the public eye. Controversy made him ill. This brilliant observer of nature kept his most original and revolutionary idea under wraps for decades. Yet today, two centuries after Charles Darwin\'s birth, nearly everyone knows his name. What did Darwin do, and why does he still matter so much?'] = 'Happiest at home with his notebooks and his microscope, he shunned the public eye. Controversy made him ill. This brilliant observer of nature kept his most original and revolutionary idea under wraps for decades. Yet today, two centuries after Charles Darwin\'s birth, nearly everyone knows his name. What did Darwin do, and why does he still matter so much?';
catalog['Happy Pi Day! Also see: Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ\nPi in Binary Hand Dance: http://youtu.be/OCYZTg3jahU\nSpecial thanks to Toby (or not Toby) for playing Dog Hamlet.\n\nThis cool website lets you search the first 200,000,000 digits of Pi. See if your phone number or encoded name is in there! http://www.angio.net/pi/piquery\n\nSeven Sonnets:\n\nAre Shakespeare\'s plays encoded within Pi? \nThe truth is: we don\'t know, but we suspect\nThey\'re somewhere in those digits. And now I\nWill show why we don\'t know if we\'re correct.\n\nYou see, we think the digits do behave\nAs if they were a random sequence, and\nSo many mathematicians tried to brave\nThis question, but we still don\'t understand.\n\nPi isn\'t random: each digit must be\nExactly what the definition states.\nIt\'s pseudo-random, far as we can see,\nBut it\'s the subject of intense debates.\n\nNow I\'ll explain, with this parameter:\nIt\'s all in iambic pentameter.\n\nYou may have heard of this scenario:\nA thousand monkeys type at keyboards \'till\nThey write the works of Shakespeare. Even though,\nIn one life it\'s a task they can\'t fulfill.\n\nIf you allow their kids to carry on,\nAll through the generations working hard,\nThey will evolve before they come upon\nA single sonnet written by the Bard.\n\nBut still, the theory\'s sound! And it is true\nThat with a random and infinite set\nOf letters, that eventu-ally you\nWill find whatever words you want to get.\n\nHowever, on this thing you can depend:\nBefore you do, the universe will end.\n\n\nPi is a number, and that\'s why I can\nCompletely guarantee no part will be\n9-1-3-7-5-2-2-8-ten\n4-7-9-H-A-M-L-E-T.\n\nYou\'d have to make up something, like a code\nWhere zero-one is A, Oh-three is C,\nOr you could also choose some other mode,\nOh-2 could be "to be or not to be."\n\nBut let\'s go with this system, where a Y\nIs 2-5, O\'s one five, and R\'s eighteen,\nAnd next comes zero 9 which is an I,\nOh-three, eleven. Yorick\'s name is seen!\n\nDoes Pi say anything? How does it go?\n1-4-1-5. I guess the answer\'s "no."\n\n\nIf you desire to search Pi for a thing\nLike Hamlet, as if you\'d \'discover\' it,\nWithout a copy used for referencing,\nYou wouldn\'t know if you\'d recovered it.\n\nIn fact, it\'s almost certain, so beware:\nBefore you get to Hamlet, if you slog\nThrough all the digits, you\'ll find versions where\nThere\'s just one thing changed: Hamlet is a dog.\n\nDog Hamlet is so awesome and he goes\nOn infinitely many adventures.\nIn this infinite space everyone knows\nDog Hamlet\'s king. Sometimes he has dentures.\n\nUnless Pi isn\'t normal. I\'ll admit:\nPi might not have a single Dog Hamlet.\n\n\nA normal number is a number where,\nIf you take any pattern of length Z\nYou\'ll definitely find the pattern there,\nAnd others that length, with\' same frequency.\n\nLength 1 would just be every digit, so\nAll digits happen infinity times.\nAnd all two-digit numbers also go\nIn there somewhere. If you list all the primes,\n\nYou get the Copeland-Erdos constant, which\nIs one of few known normal numbers. Or\nTake every number in order and stitch\nThem all together. And we know there\'s more.\n\nMost numbers must be of the normal kind,\nBut somehow they are hard for us to find.\n\n\nWe think that Pi is normal. Also e\nAnd square root 2 and other stuff like that.\nWe don\'t know how to prove that they must be,\nThat Pi contains Macbeth where he\'s a cat.\n\nIf you\'ve got every combination of\nDigits of every length, that will include\nA Romeo and Juliet in love\nWho meet in time and live and end the feud.\n\nAnd since the strings of numbers must occur\nWith equal frequency to other strings\nOf the same length, it don\'t matter whether\nYou choose this code or other permutings.\n\nPerhaps somewhere Dog Hamlet and Catbeth\nAre chillin\', bustin\' ghosts, avoiding death.\n\n\nThere\'s simple open problems about pi,\nLike whether every digit, oh through nine,\nKeeps happening. We can\'t figure out why\n6 shouldn\'t stop appearing, down the line.\n\nIt seems ridiculous, to think that 2\nOccurs finitely many times. I fear,\nThat without proof, we can\'t say it\'s not true.\nAlas, poor Yorick may never appear.\n\nBut the exciting thing is that I think\nThese problems will be solved before too long.\nAnd then this video will really stink\nBecause all this not-knowing will be wrong.\n\nDon\'t worry; I look forward to its fall.\n\'Till then, a happy Pi Day to you all.'] = 'Happy Pi Day! Also see: Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ\nPi in Binary Hand Dance: http://youtu.be/OCYZTg3jahU\nSpecial thanks to Toby (or not Toby) for playing Dog Hamlet.\n\nThis cool website lets you search the first 200,000,000 digits of Pi. See if your phone number or encoded name is in there! http://www.angio.net/pi/piquery\n\nSeven Sonnets:\n\nAre Shakespeare\'s plays encoded within Pi? \nThe truth is: we don\'t know, but we suspect\nThey\'re somewhere in those digits. And now I\nWill show why we don\'t know if we\'re correct.\n\nYou see, we think the digits do behave\nAs if they were a random sequence, and\nSo many mathematicians tried to brave\nThis question, but we still don\'t understand.\n\nPi isn\'t random: each digit must be\nExactly what the definition states.\nIt\'s pseudo-random, far as we can see,\nBut it\'s the subject of intense debates.\n\nNow I\'ll explain, with this parameter:\nIt\'s all in iambic pentameter.\n\nYou may have heard of this scenario:\nA thousand monkeys type at keyboards \'till\nThey write the works of Shakespeare. Even though,\nIn one life it\'s a task they can\'t fulfill.\n\nIf you allow their kids to carry on,\nAll through the generations working hard,\nThey will evolve before they come upon\nA single sonnet written by the Bard.\n\nBut still, the theory\'s sound! And it is true\nThat with a random and infinite set\nOf letters, that eventu-ally you\nWill find whatever words you want to get.\n\nHowever, on this thing you can depend:\nBefore you do, the universe will end.\n\n\nPi is a number, and that\'s why I can\nCompletely guarantee no part will be\n9-1-3-7-5-2-2-8-ten\n4-7-9-H-A-M-L-E-T.\n\nYou\'d have to make up something, like a code\nWhere zero-one is A, Oh-three is C,\nOr you could also choose some other mode,\nOh-2 could be "to be or not to be."\n\nBut let\'s go with this system, where a Y\nIs 2-5, O\'s one five, and R\'s eighteen,\nAnd next comes zero 9 which is an I,\nOh-three, eleven. Yorick\'s name is seen!\n\nDoes Pi say anything? How does it go?\n1-4-1-5. I guess the answer\'s "no."\n\n\nIf you desire to search Pi for a thing\nLike Hamlet, as if you\'d \'discover\' it,\nWithout a copy used for referencing,\nYou wouldn\'t know if you\'d recovered it.\n\nIn fact, it\'s almost certain, so beware:\nBefore you get to Hamlet, if you slog\nThrough all the digits, you\'ll find versions where\nThere\'s just one thing changed: Hamlet is a dog.\n\nDog Hamlet is so awesome and he goes\nOn infinitely many adventures.\nIn this infinite space everyone knows\nDog Hamlet\'s king. Sometimes he has dentures.\n\nUnless Pi isn\'t normal. I\'ll admit:\nPi might not have a single Dog Hamlet.\n\n\nA normal number is a number where,\nIf you take any pattern of length Z\nYou\'ll definitely find the pattern there,\nAnd others that length, with\' same frequency.\n\nLength 1 would just be every digit, so\nAll digits happen infinity times.\nAnd all two-digit numbers also go\nIn there somewhere. If you list all the primes,\n\nYou get the Copeland-Erdos constant, which\nIs one of few known normal numbers. Or\nTake every number in order and stitch\nThem all together. And we know there\'s more.\n\nMost numbers must be of the normal kind,\nBut somehow they are hard for us to find.\n\n\nWe think that Pi is normal. Also e\nAnd square root 2 and other stuff like that.\nWe don\'t know how to prove that they must be,\nThat Pi contains Macbeth where he\'s a cat.\n\nIf you\'ve got every combination of\nDigits of every length, that will include\nA Romeo and Juliet in love\nWho meet in time and live and end the feud.\n\nAnd since the strings of numbers must occur\nWith equal frequency to other strings\nOf the same length, it don\'t matter whether\nYou choose this code or other permutings.\n\nPerhaps somewhere Dog Hamlet and Catbeth\nAre chillin\', bustin\' ghosts, avoiding death.\n\n\nThere\'s simple open problems about pi,\nLike whether every digit, oh through nine,\nKeeps happening. We can\'t figure out why\n6 shouldn\'t stop appearing, down the line.\n\nIt seems ridiculous, to think that 2\nOccurs finitely many times. I fear,\nThat without proof, we can\'t say it\'s not true.\nAlas, poor Yorick may never appear.\n\nBut the exciting thing is that I think\nThese problems will be solved before too long.\nAnd then this video will really stink\nBecause all this not-knowing will be wrong.\n\nDon\'t worry; I look forward to its fall.\n\'Till then, a happy Pi Day to you all.';
catalog['Happy Tau Day! This is a song about Tau! Other Tau things you should see:Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ What Tau Sounds Like: http://youtu.be/3174T-3-59QThe Tau Manifesto: http://tauday.com/'] = 'Happy Tau Day! This is a song about Tau! Other Tau things you should see:Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ What Tau Sounds Like: http://youtu.be/3174T-3-59QThe Tau Manifesto: http://tauday.com/';
catalog['Happy Valentines Day from Khan Academy Projects'] = 'Happy Valentines Day from Khan Academy Projects';
catalog['Hardware, software and space decisions overview'] = 'Hardware, software and space decisions overview';
catalog['Hardware, software and space:  intro and big ideas'] = 'Hardware, software and space:  intro and big ideas';
catalog['Hardy-Weinberg principle'] = 'Das Hardy-Weinberg-Gesetz';
catalog['Harmonic motion part 2 (calculus)'] = 'Harmonic motion part 2 (calculus)';
catalog['Harmonic motion part 3 (no calculus)'] = 'Harmonic motion part 3 (no calculus)';
catalog['Harmonic motion'] = 'Harmonic motion';
catalog['Have fun with colored light bulbs and experiment with different properties of light! Developed and demonstrated by Exploratorium Senior Scientist Paul Doherty.'] = 'Have fun with colored light bulbs and experiment with different properties of light! Developed and demonstrated by Exploratorium Senior Scientist Paul Doherty.';
catalog['Have no time for trolls, kings and parrots and just want to get to the essence of system.  This might be a good tutorial for you.  As you can see, this stuff is so important that we\'re covering it in several tutorials!'] = 'Hast du keine Zeit f\u00fcr Trolle, K\u00f6nige und Papageien und willst schlicht das Wesentliche des Systems erfahren? Dann k\u00f6nnte das hier ein gutes Tutorial f\u00fcr dich sein. wie du siehst, ist dieses Zeug so wichtig, dass wir es in mehreren Tutorials behandeln!';
catalog['Have you ever been confused by a medical bill? What happens after you visit the doctor? This video explains how medical costs are calculated and paid for by public and private insurance. &nbsp;Learn more about the path of that bill, how it&rsquo;s processed, and who pays for what.&nbsp;<!--EndFragment-->'] = 'Have you ever been confused by a medical bill? What happens after you visit the doctor? This video explains how medical costs are calculated and paid for by public and private insurance. &nbsp;Learn more about the path of that bill, how it&rsquo;s processed, and who pays for what.&nbsp;<!--EndFragment-->';
catalog['Have you ever seen a sentence in a newspaper or on a restaurant menu that just wasn\'t quite right? In this section, you\'ll have lots of opportunities to find errors and fix \'em. \nSection 5 starts on pg. 54 of the downloadable test.\n\nWant even more writing practice? Check out the SAT Reading and Writing practice topic.'] = 'Have you ever seen a sentence in a newspaper or on a restaurant menu that just wasn\'t quite right? In this section, you\'ll have lots of opportunities to find errors and fix \'em. \nSection 5 starts on pg. 54 of the downloadable test.\n\nWant even more writing practice? Check out the SAT Reading and Writing practice topic.';
catalog['Have you ever wondered how fast the area of a ripple of a pond is increasing based on how fast the ripple is?  What about how fast a volcano\'s volume is increasing?  This tutorial on related rates will satiate your curiosity and then some!\n\n\nSolving related rates problems using calculus'] = 'Hast du dich jemals gefragt, wie schnell die Fl\u00e4che einer Welle in einem Teich steigt abh\u00e4ngig davon, wie schnell die Welle ist?  Wie schnell steigt das Volumen eines Vulkans?  Dieses Tutorial \u00fcber \u00c4nderungsraten wird deine Neugier stillen!\n\n\nWir l\u00f6sen Aufgaben mit \u00c4nderungsraten mittels Analysis';
catalog['Have you ever wondered how much fencing you need to surround a plot of land?  No?  Well, you should still go through this tutorial just in case.  You\'ll learn all about how to think about and calculate perimeter--essentially the length of the boundary of a figure.'] = 'Hast du dich jemals gefragt, wieviel Zaun du brauchst, um ein Grundst\u00fcck einzuz\u00e4unen? Nein? Du solltest dir dieses Tutorial f\u00fcr alle F\u00e4lle aber trotzdem angucken. Du erf\u00e4hrst alles dar\u00fcber, wie man \u00fcber einen Umfang nachdenkt und ihn berechnet - im Grunde ist es die L\u00e4nge der Begrenzung einer Figur.';
catalog['Have you ever wondered how much fencing you need to surround a plot of land? No? Well, you should still go through this tutorial just in case. You\'ll learn all about how to think about and calculate perimeter--essentially the length of the boundary of a figure.'] = 'Hast du dich jemals gefragt, wie viel Zaun du brauchst, um ein Grundst\u00fcck einzuz\u00e4unen? Nein? Du solltest dir dieses Tutorial f\u00fcr alle F\u00e4lle aber trotzdem anschauen. Du erf\u00e4hrst alles dar\u00fcber, wie man \u00fcber einen Umfang nachdenkt und ihn berechnet - im Grunde ist es die L\u00e4nge der Begrenzung einer Figur.';
catalog['Have you ever wondered how people would draw a square, equilateral triangle or even hexagon before there were computers?  Well, now you\'re going to do just that (ironically, with a computer).  Using our virtual compass and straightedge, you\'ll construct several regular shapes (by inscribing them inside circles).'] = 'Hast du dich jemals gefragt, wie Menschen ein Quadrat, gleichseitiges Dreieck oder sogar Sechseck gezeichnet haben bevor es Computer gab?  Nun, jetzt wirst du genau das tun (ironischerweise mit einem Computer).  Du wirst unsere virtuellen Zirkel und Lineal verwenden, um mehrere regelm\u00e4\u00dfige Formen zu konstruieren (indem du sie in einen Kreis einschreibst).';
catalog['Have you ever wondered what would happen if you divide one polynomial by another?  What if you set that equal to something else?  Would it be as unbelievably epic as you suspect it would be?'] = 'Hast Du Dich jemals gefragt, was passiert, wenn man ein Polynom durch einen anderes teilt?  Was ist, wenn Du das Resultat mit etwas anderem gleichsetzt? W\u00e4re das so gewaltig, wie Du Dir das jetzt vielleicht vorstellst?';
catalog['Hawaiian Islands formed by stationary hot spot under Pacific plate'] = 'Enstehung von Hawaii durch station\u00e4re Hot Spots unter der Pazifischen Platte';
catalog['Hawaiian islands formation'] = 'Hawaiian islands formation';
catalog['Health Care System'] = 'Gesundheitssystem';
catalog['Health and medicine'] = 'Gesundheit und Medizin';
catalog['Health care costs in US vs Europe'] = 'Health care costs in US vs Europe';
catalog['Health care costs'] = 'Health care costs';
catalog['Health care exercise'] = 'Health care exercise';
catalog['Health care for the chronically ill'] = 'Health care for the chronically ill';
catalog['Health care system'] = 'Gesundheitssystem';
catalog['Healthcare system overview'] = '\u00dcbersicht \u00fcber das Gesundheitssystem';
catalog['Healthy Lifestyle'] = 'Gesunde Lebensart';
catalog['Healthy ecosystems provide crucial direct, indirect, and aesthetic-ethical benefits to humans.'] = 'Healthy ecosystems provide crucial direct, indirect, and aesthetic-ethical benefits to humans.';
catalog['Healthy lifestyle'] = 'Gesunde Lebensweise';
catalog['Hear from contemporary artists as they share their art-making techniques and sources of inspiration. '] = 'Hear from contemporary artists as they share their art-making techniques and sources of inspiration. ';
catalog['Heart Disease and Stroke'] = 'Herzerkrankung und Schlaganfall';
catalog['Heart Introduction'] = 'Heart Introduction';
catalog['Heart Muscle Contraction'] = 'Herzmuskelkontraktion';
catalog['Heart cells up close!'] = 'Heart cells up close!';
catalog['Heart depolarization'] = 'Heart depolarization';
catalog['Heart disease and heart attacks'] = 'Heart disease and heart attacks';
catalog['Heart disease and stroke'] = 'Herzerkrankungen und Schlaganfall';
catalog['Heart introduction'] = 'Heart introduction';
catalog['Heart muscle contraction'] = 'Heart muscle contraction';
catalog['Heart quiz'] = 'Heart quiz';
catalog['Heat Transfer'] = 'W\u00e4rme\u00fcbertragung';
catalog['Heat of formation'] = 'Heat of formation';
catalog['Heat transfer'] = 'Heat transfer';
catalog['Hector Guimard, Cit\u00e9 entrance, Paris M\u00e9tropolitain, c.1900'] = 'Hector Guimard, Cit\u00e9 entrance, Paris M\u00e9tropolitain, c.1900';
catalog['Hedge fund strategies: Long short  1'] = 'Hedge fund strategies: Long short  1';
catalog['Hedge fund strategies: Long short  2'] = 'Hedge fund strategies: Long short  2';
catalog['Hedge fund strategies: Merger arbitrage 1'] = 'Hedge fund strategies: Merger arbitrage 1';
catalog['Hedge fund structure and fees'] = 'Hedge fund structure and fees';
catalog['Hedge funds have absolutely nothing to do with shrubbery.  Their name comes from the fact that early hedge funds (and some current ones) tried to "hedge" their exposure to the market (so they could, in theory, do well in an "up" or "down" market as long as they were good at picking the good companies).  Today, hedge funds represent a huge class investment funds.  \n\nThey are far less regulated than, say, mutual funds.  In exchange for this, they aren\'t allowed to market or take investments from "unsophisticated" investors.  Some use their flexibility to mitigate risk, other use it to amplify it.'] = 'Auch wenn "Hedge" englisch f\u00fcr Hecke ist, haben Hedge Fonds herzlich wenig mit Botanik zu tun. Ihren Namen haben sie, weil viele der ersten Hedge Fonds (und auch heute immer noch einige) versucht haben sich gegen die Schwankungen des Marktes abzusichern ("to hedge" ist englisch f\u00fcr absichern). Heutzutage machen Hedge Fonds einen riesigen Teil der Investment Fonds aus. \n\nSie sind viel weniger Regulationen ausgesetzt als zum Beispiel Anlagefonds. Deswegen d\u00fcrfen sich sich auch nicht selbst vermarkten oder Investments von "schlichten" Investoren annehmen. Einige benutzen ihre Flexibilit\u00e4t um Risiken zu entsch\u00e4rfen, aber benutzen sie um Risiken zu versch\u00e4rfen.';
catalog['Hedge funds intro'] = 'Hedge funds intro';
catalog['Hedge funds'] = 'Hedge-Fonds';
catalog['Hedge funds, venture capital, and private equity'] = 'Hedge funds, venture capital, and private equity';
catalog['Hellenistic: Alexander Mosaic from the House of the Faun, Pompeii'] = 'Hellenistic: Alexander Mosaic from the House of the Faun, Pompeii';
catalog['Hellenistic: Barberini Faun'] = 'Hellenistic: Barberini Faun';
catalog['Hellenistic: Dying Gaul'] = 'Hellenistic: Dying Gaul';
catalog['Hellenistic: Eros sleeping and an old market woman'] = 'Hellenistic: Eros sleeping and an old market woman';
catalog['Hellenistic: Great Altar of Zeus and Athena at Pergamon'] = 'Hellenistic: Great Altar of Zeus and Athena at Pergamon';
catalog['Hellenistic: Laoco\u00f6n and his sons'] = 'Hellenistic: Laoco\u00f6n and his sons';
catalog['Hellenistic: Seated Boxer'] = 'Hellenistic: Seated Boxer';
catalog['Hellenistic: Winged Victory (Nike) of Samothrace'] = 'Hellenistic: Winged Victory (Nike) of Samothrace';
catalog['Help decide what\'s next! What do you want to learn?'] = 'Helfen Sie, zu entscheiden, was als n\u00e4chstes kommt! Was m\u00f6chten Sie lernen?';
catalog['Help support Khan Academy'] = 'Unterst\u00fctze die Khan Academy';
catalog['Helper T cells'] = 'T-Helferzellen';
catalog['Helping teachers make the change'] = 'Helping teachers make the change';
catalog['Hemoglobin and its role in the circulatory system'] = 'Hemoglobin und seine Rolle im Kreislaufsystem';
catalog['Hemoglobin moves O2 and CO2'] = 'Hemoglobin moves O2 and CO2';
catalog['Hemoglobin'] = 'Hemoglobin';
catalog['Henri Cartier-Bresson, Behind the Gare Saint-Lazare, Paris, 1932\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris'] = 'Henri Cartier-Bresson, Behind the Gare Saint-Lazare, Paris, 1932\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris';
catalog['Henri Matisse, Luxe, calme et volupt\u00e9, 1904, oil on canvas, 37 x 46 inches (Muse\u00e9  d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nPainted while the artist stayed with the pointillist painter, Signac, at his home in Saint-Tropez on the C\u00f4te d\'Azur. Matisse\'s title comes from Charles Baudelaire\'s\npoem, L\'invitation au voyage (Invitation To A Voyage) from his collection, The Flowers of Evil. Luxe, calme et volupt\u00e9 translates just as it sounds in English, Luxury, calm, and voluptuous(ness)'] = 'Henri Matisse, Luxe, calme et volupt\u00e9, 1904, oil on canvas, 37 x 46 inches (Muse\u00e9  d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nPainted while the artist stayed with the pointillist painter, Signac, at his home in Saint-Tropez on the C\u00f4te d\'Azur. Matisse\'s title comes from Charles Baudelaire\'s\npoem, L\'invitation au voyage (Invitation To A Voyage) from his collection, The Flowers of Evil. Luxe, calme et volupt\u00e9 translates just as it sounds in English, Luxury, calm, and voluptuous(ness)';
catalog['Henri Matisse, The Piano Lesson, 1916 (The Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Henri Matisse, The Piano Lesson, 1916 (The Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Henri Matisse, The Red Studio, oil on canvas, 1911 (MoMA)'] = 'Henri Matisse, The Red Studio, oil on canvas, 1911 (MoMA)';
catalog['Henri Toulouse-Lautrec\'s circus drawings'] = 'Henri Toulouse-Lautrec\'s circus drawings';
catalog['Henri de Toulouse-Lautrec, At the Moulin Rouge, 1893-95, oil on canvas, 48-1/2 x 55-1/2 inches / 123 x 141 cm (Art Institute of Chicago)'] = 'Henri de Toulouse-Lautrec, At the Moulin Rouge, 1893-95, oil on canvas, 48-1/2 x 55-1/2 inches / 123 x 141 cm (Art Institute of Chicago)';
catalog['Henry Fuseli, Titania and Bottom, c. 1790, oil on canvas, 2172 x 2756 mm (Tate Britain, London)'] = 'Henry Fuseli, Titania and Bottom, c. 1790, oil on canvas, 2172 x 2756 mm (Tate Britain, London)';
catalog['Henry Louis Gates, Jr: Visions of the future'] = 'Henry Louis Gates, Jr: Visions of the future';
catalog['Henry Wallis, Chatterton, 1856, oil on canvas, 622 x 933 cm (Tate Britain, London)'] = 'Henry Wallis, Chatterton, 1856, oil on canvas, 622 x 933 cm (Tate Britain, London)';
catalog['Henry\'s law'] = 'Henry\'s law';
catalog['Here is an example of how to write questions using Perseus.'] = 'Here is an example of how to write questions using Perseus.';
catalog['Here we compare the speed of compass oscillation vs. distance from a magnet. What kind of relationship do we observe. Is it linear?'] = 'Here we compare the speed of compass oscillation vs. distance from a magnet. What kind of relationship do we observe. Is it linear?';
catalog['Here we draw a line on a page and use it as a variable resistor in series with a speaker. What relationship do we hear? Does it sound linear?'] = 'Here we draw a line on a page and use it as a variable resistor in series with a speaker. What relationship do we hear? Does it sound linear?';
catalog['Here we experiment with hot vs. cold vinegar as our electrolyte. Does the deflection in our galvanometer depend on temperature? Why?'] = 'Here we experiment with hot vs. cold vinegar as our electrolyte. Does the deflection in our galvanometer depend on temperature? Why?';
catalog['Here we will explore representing our x\'s and y\'s in terms of a third variable or parameter (often \'t\').  Not only can we describe new things, but it can be super useful for describing things like particle motion in physics.'] = 'Hier untersuchen wir die Darstellung unserer x und y in Form einer dritten Variablen oder eines Parameters (oft \' t \').  Wir k\u00f6nnen damit nicht nur neue Dinge beschreiben,  es kann auch super n\u00fctzlich sein, wenn man Dinge beschreiben will wie Teilchen-Bewegung in der Physik.';
catalog['Here we will revisit some of the most important pieces to understanding functions!'] = 'Here we will revisit some of the most important pieces to understanding functions!';
catalog['Here\'s a chance to see if you can combine what you know to add up resistance in series AND in parallel.   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Here\'s a chance to see if you can combine what you know to add up resistance in series AND in parallel.   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Heredity and Classical Genetics.  Dominant and recessive traits.  Heterozygous and homozygous genotypes.'] = 'Vererbung und klassische Genetik: Dominante und rezessive Erbg\u00e4nge. Heterozygote und homozygote Genotypen.';
catalog['Heredity and genetics'] = 'Vererbung und Genetik';
catalog['Heredity'] = 'Vererbung';
catalog['Heron\'s formula'] = 'Der Satz des Heron';
catalog['Hess\'s Law Example'] = 'Hess\'s Law Example';
catalog['Hess\'s law and reaction enthalpy change'] = 'Hess\'s law and reaction enthalpy change';
catalog['Hess\'s law example'] = 'Hess\'s law example';
catalog['Hesse, Untitled (Rope Piece), 1970'] = 'Hesse, Untitled (Rope Piece), 1970';
catalog['Hesse, Untitled'] = 'Hesse, Untitled';
catalog['Heterogeneous equilibrium'] = 'Heterogeneous equilibrium';
catalog['Hexaflexagon safety guide'] = 'Hexaflexagon safety guide';
catalog['Hexaflexagons 2'] = 'Hexaflexagons 2';
catalog['Hexaflexagons'] = 'Hexaflexagone';
catalog['Hieronymus Bosch, Last Judgment Triptych, 1504-08, Akademie f\u00fcr bildenden K\u00fcnste, Vienna, overall dimensions 163 x 250 cm, central panel 163 x 128 cm, wings 163 x 60 cm. \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Hieronymus Bosch, Last Judgment Triptych, 1504-08, Akademie f\u00fcr bildenden K\u00fcnste, Vienna, overall dimensions 163 x 250 cm, central panel 163 x 128 cm, wings 163 x 60 cm. \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['High Renaissance: Florence and Rome'] = 'High Renaissance: Florence and Rome';
catalog['High school content'] = 'High school content';
catalog['Hinduism has no historical founder, and no central authority.  It includes enormously diverse beliefs and practices, which vary over time and among individuals, communities, and regional areas.  Its authority\u2014its beliefs and practices\u2014rests on a large body of sacred texts that may date back more than 3,000 years.   '] = 'Hinduism has no historical founder, and no central authority.  It includes enormously diverse beliefs and practices, which vary over time and among individuals, communities, and regional areas.  Its authority\u2014its beliefs and practices\u2014rests on a large body of sacred texts that may date back more than 3,000 years.   ';
catalog['Hint for finding the determinant of a 2x2 matrix'] = 'Hinweis f\u00fcr die Suche nach der Determinante in einer 2 x 2 Matrix';
catalog['Histograms'] = 'Histogramme';
catalog['Historians ask questions about the past to help understand the present, and gain insight to the future.<br>'] = 'Historians ask questions about the past to help understand the present, and gain insight to the future.<br>';
catalog['Historiated capitals from the crossing of the Church of Sant Miquel of the castle of Camarasa (Noguera), early 13th century, stone, 77 x 1.65 x 77.5 cm (Museu Nacional d\'Art de Catalunya, Palau Nacional, Barcelona).'] = 'Historiated capitals from the crossing of the Church of Sant Miquel of the castle of Camarasa (Noguera), early 13th century, stone, 77 x 1.65 x 77.5 cm (Museu Nacional d\'Art de Catalunya, Palau Nacional, Barcelona).';
catalog['Historiated capitals, Church of Sant Miquel, Camarasa (Noguera)'] = 'Historiated capitals, Church of Sant Miquel, Camarasa (Noguera)';
catalog['Historical circumstances explained by AD/AS'] = 'Historische Gegebenheiten erkl\u00e4rt durch AD/AS';
catalog['History of life on Earth'] = 'Die Geschichte des Lebens auf der Erde';
catalog['History of life on earth'] = 'Die Geschichte des Lebens auf der Erde';
catalog['History'] = 'Geschichte';
catalog['Hitler and the Nazis come to power'] = 'Hitler and the Nazis come to power';
catalog['Hitler\'s Beer Hall Putsch'] = 'Hitler\'s Beer Hall Putsch';
catalog['Holbein the Younger, Christina of Denmark'] = 'Holbein the Younger, Christina of Denmark';
catalog['Holbein the Younger, Henry VIII'] = 'Holbein the Younger, Henry VIII';
catalog['Holbein the Younger, the Ambassadors'] = 'Holbein the Younger, the Ambassadors';
catalog['Holbein the Younger, the Merchant Georg Gisze'] = 'Holbein the Younger, the Merchant Georg Gisze';
catalog['Holland'] = 'Holland';
catalog['Holy Thorn Reliquary (made in Paris for Jean, Duc de Berry), c. 1390s, gold, enamel, ruby, pearl, sapphire, and rock crystal, 30 x 14.2 x 6.8 cm (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik'] = 'Holy Thorn Reliquary (made in Paris for Jean, Duc de Berry), c. 1390s, gold, enamel, ruby, pearl, sapphire, and rock crystal, 30 x 14.2 x 6.8 cm (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik';
catalog['Holy Thorn reliquary'] = 'Holy Thorn reliquary';
catalog['Home equity and personal balance sheets'] = 'Eigenkapital und private Verm\u00f6gensrechnung';
catalog['Home equity loans'] = 'Home equity loans';
catalog['Home stretch.  Proving the Type I part'] = 'Home stretch.  Proving the Type I part';
catalog['Home'] = 'Home';
catalog['Homeless stats exercises'] = 'Homeless stats exercises';
catalog['Homeostasis'] = 'Hom\u00f6ostase';
catalog['Homer, The Fog Warning (Halibut Fishing)'] = 'Homer, The Fog Warning (Halibut Fishing)';
catalog['Homer, The Life Line'] = 'Homer, The Life Line';
catalog['Homogeneous equations'] = 'Homogene Gleichungen';
catalog['Hooraaaay flexagons! Next hexaflexagon video in one week. Happy October!More info coming soon.'] = 'Hurraaaa Flexagons! Das n\u00e4chste Hexaflexagon-Video in einer Woche. Fr\u00f6hlichen Oktober! Weitere Informationen in K\u00fcrze.';
catalog['Hopper, Nighthawks, 1942'] = 'Hopper, Nighthawks, 1942';
catalog['Horizontal and vertical asymptotes of function'] = 'Horizontal and vertical asymptotes of function';
catalog['Horizontal distance as a function of angle (and speed)'] = 'Horizontal distance as a function of angle (and speed)';
catalog['Hormone concentration metabolism and negative feedback'] = 'Hormone concentration metabolism and negative feedback';
catalog['Horned monster'] = 'Horned monster';
catalog['Hot off the press'] = 'Frisch aus der Presse';
catalog['Hour of Code (for Teachers)'] = 'Die Stunde des Codes (f\u00fcr Lehrer)';
catalog['Hour of Code'] = 'Die Stunde des Codes';
catalog['Hour of Code\u2122'] = 'Hour of Code\u2122';
catalog['House Altar depicting Akhenaten, Nefertiti and Three of their Daughters, limestone, New Kingdom, Amarna period, 18th dynasty, c.1350 BCE (&Auml;gyptisches Museum/Neues Museum, Staatliche Museen zu Berlin)'] = 'House Altar depicting Akhenaten, Nefertiti and Three of their Daughters, limestone, New Kingdom, Amarna period, 18th dynasty, c.1350 BCE (&Auml;gyptisches Museum/Neues Museum, Staatliche Museen zu Berlin)';
catalog['Household'] = 'Haushalt';
catalog['Housing conundrum (part 4)'] = 'Housing conundrum (part 4)';
catalog['Housing price conundrum (part 2)'] = 'Housing price conundrum (part 2)';
catalog['Housing price conundrum (part 3)'] = 'Housing price conundrum (part 3)';
catalog['Housing price conundrum'] = 'Das R\u00e4tsel der Immobilienpreise';
catalog['Housing'] = 'Wohnen';
catalog['How "money" is created in a fractional reserve banking system.  M0 and M1 definitions of the money suppy.  The multiplier effect.'] = 'How "money" is created in a fractional reserve banking system.  M0 and M1 definitions of the money suppy.  The multiplier effect.';
catalog['How CAM Plants are able to fix carbon at night so they don\'t have to keep their stomata open during the day'] = 'Wie CAM-Pflanzen in der Lage sind ihren Kohlenstoff in der Nacht zu fixieren, so dass ihre Stomata nicht \u00fcber Tag ge\u00f6ffnet haben m\u00fcssen';
catalog['How CDOs can give different investors different levels of risk and returns with the same underlying assets'] = 'How CDOs can give different investors different levels of risk and returns with the same underlying assets';
catalog['How Did Our View of the Universe Change?'] = 'How Did Our View of the Universe Change?';
catalog['How Do We Decide What to Believe?'] = 'How Do We Decide What to Believe?';
catalog['How I Feel About Logarithms'] = 'How I Feel About Logarithms';
catalog['How I subtract in my head'] = 'Wie ich in meinem Kopf subtrahiere';
catalog['How K-Ar dating can be used to date very old volcanic rock and the things that might be buried in between'] = 'How K-Ar dating can be used to date very old volcanic rock and the things that might be buried in between';
catalog['How Khan Academy is helping teachers free up classroom time, track student\'s progress, and pinpoint their needs'] = 'Wie die Kahn Akademie Lehrern hilft, Unterrichtszeit besser zu nutzen, den Lernfortschritt der Sch\u00fcler besser mit zu verfolgen, und besser auf ihre Bed\u00fcrfnisse eingehen zu k\u00f6nnen';
catalog['How Payday lending works'] = 'How Payday lending works';
catalog['How a central bank could use foreign currency reserves to keep its own currency from devaluing'] = 'How a central bank could use foreign currency reserves to keep its own currency from devaluing';
catalog['How a change in fiscal policy shifts the IS curve'] = 'How a change in fiscal policy shifts the IS curve';
catalog['How a corporation can set up a tax haven and use it through transfer pricing.'] = 'How a corporation can set up a tax haven and use it through transfer pricing.';
catalog['How a currency crisis in Thailand led to a banking crisis in the 1990s'] = 'Wie eine W\u00e4hrungskrise in Thailand zur Bankenkrise in den 1990ern f\u00fchrte';
catalog['How a minimum wage might effect the labor market'] = 'Wie ein Mindestlohn den Arbeitsmarkt beeinflussen k\u00f6nnte';
catalog['How a sodium potassium pump can maintain a voltage gradient across a cell or neuron\'s membrane'] = 'Wie die Natrium-Kalium-Pumpe der elektrischen Gradienten \u00fcber eine Zell- oder Neuronenmembran aufrechterhalten kann';
catalog['How a supply shock can cause prices to rise and the economy to stagnate'] = 'How a supply shock can cause prices to rise and the economy to stagnate';
catalog['How a system can do work by expanding'] = 'How a system can do work by expanding';
catalog['How a tangent line relates to a hyperbola.  Might be useful for some competitive exams where there isn\'t time to derive (like we are doing in this video)'] = 'Wie eine Tangente zu einer Hyperbel steht.  M\u00f6glicherweise n\u00fctzlich f\u00fcr einige fordernde Pr\u00fcfungen, wo nicht die Zeit zum Ableiten ist (wie wir es in diesem Video tun)';
catalog['How an exchange can benefit from trading futures and how it can use margin to mitigate its risk'] = 'How an exchange can benefit from trading futures and how it can use margin to mitigate its risk';
catalog['How an oil shock can slow the economy while causing inflation'] = 'How an oil shock can slow the economy while causing inflation';
catalog['How and why Greece would leave the Euro (part 3)'] = 'How and why Greece would leave the Euro (part 3)';
catalog['How and why a central bank would build foreign currency reserves'] = 'How and why a central bank would build foreign currency reserves';
catalog['How angular velocity relates to speed'] = 'How angular velocity relates to speed';
catalog['How banks can actually create checking accounts under a fractional reserve system'] = 'How banks can actually create checking accounts under a fractional reserve system';
catalog['How banks can give out loans without ever giving out gold.'] = 'How banks can give out loans without ever giving out gold.';
catalog['How being Earth\'s tilt causes seasons'] = 'Wie die Neigung der Erdachse zu den Jahreszeiten f\u00fchrt';
catalog['How biodiversity is distributed globally'] = 'How biodiversity is distributed globally';
catalog['How bubbles destroy wealth.'] = 'Wie Spekulationsblasen den Wohlstand zerst\u00f6ren.';
catalog['How can it be summer in North America and winter in Australia at the same time?!\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions'] = 'Wie kann es gleichzeitig Sommer in Nordamerika und Winter in Australien sein?!\n\nLizenz: Creative Commons BY-NC-SA\nMehr Informationen auf http://k12videos.mit.edu/terms-conditions';
catalog['How can we apply geometry and trigonometry in order to measure the size of the earth, moon and sun?'] = 'How can we apply geometry and trigonometry in order to measure the size of the earth, moon and sun?';
catalog['How can we challenge our assumptions about the ways that schools have always been organized and run?  How do leaders manage the change as their organizations transition from traditional models to blended learning?'] = 'How can we challenge our assumptions about the ways that schools have always been organized and run?  How do leaders manage the change as their organizations transition from traditional models to blended learning?';
catalog['How can we communicate exactly where something is in two dimensions?  In this tutorial, we cover the basics of the coordinate plane. \n\nCommon Core Standard: 5.G.A.1, 5.G.A.2\t'] = 'Wie k\u00f6nnen wir mit zwei Dimensionen exakt kommunizieren wo sich etwas befindet? In diesem Tutorial behandeln wir die Grundlagen des Koordinatensystems.';
catalog['How can we communicate exactly where something is in two dimensions?  Who was this Descartes character?  \n\nIn this tutorial, we cover the basics of the coordinate plane.  We then delve into graphing points and determining whether a point is a solution of an equation.  This will be a great tutorial experience if you are just starting to ramp up your understanding of graphing or need some fundamental review.'] = 'Wie kann man mitteilen, wo genau sich etwas in zwei Dimensionen befindet? Wer war dieser Descartes-Typ?\n\nIn diesem Tutorial lernst du die Grundlagen des Koordinatensystems. Danach tauchst du tiefer in das Zeichnen von Punkten ein und bestimmst, ob ein Punkt die L\u00f6sung einer Gleichung ist. Das wird eine tolle Erfahrung f\u00fcr dich, wenn du gerade erst damit anf\u00e4ngst dich mit dem mathematischen Zeichnen auseinanderzusetzen oder ein wenig Grundlagen-Auffrischung suchst.';
catalog['How can we communicate in the presence of noise?'] = 'Wie k\u00f6nnen wir neben L\u00e4rm kommunizieren?';
catalog['How can we describe the strength of the Earth\'s magnetic field using a magnet and a compass? What does this tell us?'] = 'How can we describe the strength of the Earth\'s magnetic field using a magnet and a compass? What does this tell us?';
catalog['How can we estimate the number of primes up to x?'] = 'Wie k\u00f6nnen wir die Anzahl der Primzahlen bis zu x absch\u00e4tzen?';
catalog['How can we improve the speed of a (deterministic) primality test?'] = 'Wie k\u00f6nnen wir die Geschwindigkeit eines (deterministischen) Primzahltests verbessern?';
catalog['How can we increase the strength of a bar magnet using a piece of steel? Why is it stronger?'] = 'How can we increase the strength of a bar magnet using a piece of steel? Why is it stronger?';
catalog['How can we quantify the strength of magnetic fields? How strong is the Earth\'s field?'] = 'How can we quantify the strength of magnetic fields? How strong is the Earth\'s field?';
catalog['How can we quantify/measure an information source?'] = 'Wie k\u00f6nnen wir eine Informationsquelle quantifizieren/messen?';
catalog['How can we turn electric current into rotational motion?'] = 'How can we turn electric current into rotational motion?';
catalog['How can you power an LED with the change in your pocket? Build a cheap battery and learn how chemical energy gets converted into electricity.'] = 'How can you power an LED with the change in your pocket? Build a cheap battery and learn how chemical energy gets converted into electricity.';
catalog['How can you tell when to go to bed when the sun never sets? Ask a reindeer from Norway.\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions'] = 'How can you tell when to go to bed when the sun never sets? Ask a reindeer from Norway.\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions';
catalog['How changes in Earth\'s rotation can effect Earth\'s seasons and climate'] = 'How changes in Earth\'s rotation can effect Earth\'s seasons and climate';
catalog['How changes in the price of related goods can shift demand'] = 'Wie Ver\u00e4nderung im Preis von verwandten Produkten die Nachfrage ver\u00e4ndern kann';
catalog['How could random numbers speed up a decision algorithm?'] = 'Wie k\u00f6nnte ein Entscheidungs-Algorithmus Zufallszahlen beschleunigen?';
catalog['How credit default swaps can be used as hedges, insurance or side-bets'] = 'How credit default swaps can be used as hedges, insurance or side-bets';
catalog['How cytotoxic T cells get activated by MHC-I/antigen complexes and then proceed to kill infected cells'] = 'How cytotoxic T cells get activated by MHC-I/antigen complexes and then proceed to kill infected cells';
catalog['How demand can be affected by changes in income, population or preferences'] = 'How demand can be affected by changes in income, population or preferences';
catalog['How did change accelerate?'] = 'How did change accelerate?';
catalog['How did earth and the solar system form'] = 'How did earth and the solar system form';
catalog['How did life begin and change?'] = 'How did life begin and change?';
catalog['How did our ancestors evolve?'] = 'How did our ancestors evolve?';
catalog['How did the National Socialists (Nazis) go from being a tiny, marginal party in the early 1920s to having full control of Germany and catalyzing World War II?  Who was Hitler and what was his philosophy and how did he come to power?'] = 'Wie geschah es, dass aus der winzigen Randpartei der Nationalsozialsten (Nazis) in den fr\u00fchen 1920ern eine Partei wurde, welche die totale Kontrolle \u00fcber Deutschland erlangte und den 2. Weltkrieg einleitete? Wer war Hitler, was war seine Weltanschauung und wie kam er an die Macht?';
catalog['How did the first humans live?'] = 'How did the first humans live?';
catalog['How did world zones become interconnected?'] = 'How did world zones become interconnected?';
catalog['How do airplanes fly? It\'s not magic. Learn about the forces that help (and hinder) airplane flight.'] = 'Wie fliegen Flugzeuge? Da steckt keine Magie dahinter. Lern etwas \u00fcber die Kr\u00e4fte die beim Flugzeugfliegen helfen (und hindern).';
catalog['How do artists create the illusion of depth on a flat surface? What are some of the ways that artists draw our attention to specific details? Discover the answers in this video. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'How do artists create the illusion of depth on a flat surface? What are some of the ways that artists draw our attention to specific details? Discover the answers in this video. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['How do earth and life interact?'] = 'How do earth and life interact?';
catalog['How do neurons talk directly to muscle cells? Learn about how a neuronal message is translated into a muscular action at the neuromuscular junction. By Raja Narayan.'] = 'How do neurons talk directly to muscle cells? Learn about how a neuronal message is translated into a muscular action at the neuromuscular junction. By Raja Narayan.';
catalog['How do nucleotides in RNA get translated into amino acids in a protein? The key is the genetic code, which shows the corresponding amino acid for each possible combination of three nucleotides (codon).&nbsp;'] = 'How do nucleotides in RNA get translated into amino acids in a protein? The key is the genetic code, which shows the corresponding amino acid for each possible combination of three nucleotides (codon).&nbsp;';
catalog['How do planets move? An introduction to orbital mechanics and the work of Johannes Kepler.'] = 'How do planets move? An introduction to orbital mechanics and the work of Johannes Kepler.';
catalog['How do we get unwanted substances out of our blood?  Through the kidney.  This tutorial goes into some detail to describe just how this happens.'] = 'How do we get unwanted substances out of our blood?  Through the kidney.  This tutorial goes into some detail to describe just how this happens.';
catalog['How do we know something is similar? Congruent?'] = 'How do we know something is similar? Congruent?';
catalog['How do we know what the Earth is made up of?  Has someone dug to the core?  No, but we humans have been able to see how earthquake (seismic) waves have been bent and reflected through our planet to get a reasonable idea of what is down there.'] = 'Woher kennen wir die Bestandteile der Erde? Hat jemand bis in den Erdkern gegraben? Nein, das nicht, aber wir Menschen haben beobachtet, wie Erdbebenwellen (seismische Wellen) gebeugt und reflektiert wurden auf ihrem Weg durch unseren Planeten, und deshalb haben wir eine gewisse Ahnung, was da unten alles ist.';
catalog['How do you account for things that get "used up" or a cost that should be spread over time.  This tutorial has your answer.  Depreciation and amortization might sound fancy, but you\'ll hopefully find them to be quite understandable.'] = 'Wie erfasst man etwas in der Buchhaltung, dass "aufgebraucht" wird oder dessen Kosten \u00fcber l\u00e4ngere Zeit hinweg "ausgestreut" werden sollte? Dieses Tutorial hat die Antworten. Abschreibungen materieller und immaterieller Wirtschaftsg\u00fcter klingt kompliziert, aber hoffentlich wirst du entdecken, dass das Konzept dahinter eigentlich ganz nachvollziehbar ist.';
catalog['How do you decide what to produce or trade?  How can you maximize happiness in a world of scarcity.  What are you giving up when you choose something (i.e., opportunity cost)?'] = 'Wie soll entschieden werden was produziert und gehandelt wird? Wie kann man Zufriedenheit in einer Welt beschr\u00e4nkter Ressourcen maximieren? Was gibt man auf wenn man sich f\u00fcr etwas entscheidet (z.B. Opportunit\u00e4tskosten)?';
catalog['How do you learn math?'] = 'Wie lernst du Mathematik?';
catalog['How does a basketball apply a force to the shooter\'s hand?'] = 'How does a basketball apply a force to the shooter\'s hand?';
catalog['How does everything even out?  Learn what 2D Equilibrium is and how it effects the balance of life.'] = 'How does everything even out?  Learn what 2D Equilibrium is and how it effects the balance of life.';
catalog['How does it work?'] = 'How does it work?';
catalog['How does lung volume change?'] = 'How does lung volume change?';
catalog['How earth\'s tilt causes seasons'] = 'How earth\'s tilt causes seasons';
catalog['How elements relate to atoms.  The basics of how protons, electrons and neutrons make up an atom.'] = 'Wie die Elemente mit den Atomen in Verbindung stehen.  Die Grundlagen wie Protonen, Elektronen und Neutronen ein Atoms bilden.';
catalog['How far can you see from a plane window'] = 'How far can you see from a plane window';
catalog['How fast can a robot possum fly?  What is the rate at which a hungry you can consume avocados?  \n\nThis tutorial helps you make sense of these fundamental questions in life.'] = 'Wie schnell kann ein Roboter-Opossum fliegen?  Was ist die Rate, mit der ein hungriges "du" Avocados verspeisen kannst?  \n\nDies-Tutorial hilft Ihnen, diesen grundlegenden Fragen im Leben einen Sinn zu geben.';
catalog['How fast can a robot possum fly?  What is the rate at which a hungry you can consume avocados?  \n\nThis tutorial helps you make sense of these fundamental questions in life.\n\nCommon Core Standard: 7.RP.A.1\t'] = 'Wie schnell kann ein Roboter Opossum fliegen? Was ist die Rate, mit der eine hungrige Person Avocados essen kann? \n\nDieses Tutorial hilft dir, diese grundlegenden Fragen des Lebens zu verstehen.\n\nCommon Core Standard: 7.RP.A.1\t';
catalog['How fast can a robot possum fly? What is the rate at which a hungry person can consume avocados? This tutorial helps you make sense of these fundamental questions in life.\n\nCommon Core Standard: 6.RP.A.3b'] = 'Wie schnell kann ein Roboter Opossum fliegen? Was ist die Rate, mit der eine hungrige Person Avocados essen kann? Dieses Tutorial hilft dir, diese grundlegenden Fragen des Lebens zu verstehen.\n\nCommon Core Standard: 6.RP.A.3b';
catalog['How fast was the ball that you threw upwards?'] = 'How fast was the ball that you threw upwards?';
catalog['How government can effect aggregate demand through tax policy'] = 'How government can effect aggregate demand through tax policy';
catalog['How hard is it to land on Mars?<br>'] = 'How hard is it to land on Mars?<br>';
catalog['How have humans protected their secret messages through history? What has changed today?'] = 'Wie haben die Menschen ihre geheimen Nachrichten in der Vergangenheit gesch\u00fctzt? Was hat sich heute ge\u00e4ndert?';
catalog['How have we applied science and mathematics to understand our solar system?'] = 'How have we applied science and mathematics to understand our solar system?';
catalog['How investing for capital formation can expand the production possibilities frontier (PPF)'] = 'How investing for capital formation can expand the production possibilities frontier (PPF)';
catalog['How is ATP coupled to energy-requiring processes? How does the transfer of a phosphate group "fuel" chemical reactions?<br>'] = 'How is ATP coupled to energy-requiring processes? How does the transfer of a phosphate group "fuel" chemical reactions?<br>';
catalog['How is a differential equation different from a regular one?  Well, the solution is a function (or a class of functions), not a number.  How do you like me now (that is what the differential equation would say in response to your shock)!'] = 'Inwiefern unterscheidet sich eine Differenzialgleichung von einer "normalen" Gleichung? Nun, im Falle einer Differenzialgleichung besteht die L\u00f6sung aus einer Funktion (oder einer Klasse von Funktionen) statt einer Nummer. Na, wie gefalle ich dir jetzt (w\u00fcrde die Differenzialgleichung angesichts deines Schreckens sagen)!';
catalog['How is biodiversity studied?'] = 'How is biodiversity studied?';
catalog['How is metabolism similar to a galvanic cell? Apply fundamental principles of electrochemistry to understand the energy harnessed from the oxidation-reduction processes of metabolism.'] = 'How is metabolism similar to a galvanic cell? Apply fundamental principles of electrochemistry to understand the energy harnessed from the oxidation-reduction processes of metabolism.';
catalog['How long is this lizard?'] = 'Wie lange ist diese Echse?';
catalog['How long of a runway does as a380 need'] = 'Wie lange muss eine Startbahn f\u00fcr den A380 sein';
catalog['How long will three movies last?'] = 'Wie lange werden 3 Filme dauern?';
catalog['How lower lending standards led to housing price inflation.'] = 'How lower lending standards led to housing price inflation.';
catalog['How lymphatic vessels move fluid'] = 'How lymphatic vessels move fluid';
catalog['How many bags of potato chips do people eat?'] = 'Wie viele T\u00fcten Kartoffelchips essen Menschen?';
catalog['How many cars can fit in the parking lot'] = 'Wie viele Autos passen auf dem Parkplatz';
catalog['How many objects 1'] = 'Wie viele Objekte 1';
catalog['How many objects 2'] = 'Wie viele Objekte 2';
catalog['How many people can a blimp carry'] = 'How many people can a blimp carry';
catalog['How many people to hire given the MPR curve'] = 'How many people to hire given the MPR curve';
catalog['How many t-shirts can I make?'] = 'Wieviele T-shirts kann ich machen?';
catalog['How many times do you need to cut a cake?  How many fence posts do you need?\n\nThese life altering decisions will be based on how well you count.  '] = 'Wie oft musst du diesen Kuchen teilen? Wie viele Zaunpf\u00e4hle brauchst du f\u00fcr einen Zaun?\n\n Diese lebensver\u00e4ndernden Entscheidungen beruhen darauf, wie gut du z\u00e4hlst.';
catalog['How many truffle eating guests attended a party'] = 'Wie viele Tr\u00fcffel-essende G\u00e4ste waren auf einer Feier';
catalog['How many ways can we pick officers for our organization?'] = 'How many ways can we pick officers for our organization?';
catalog['How medicare is funded and why it is even less sustainable than social security'] = 'How medicare is funded and why it is even less sustainable than social security';
catalog['How much electrolyte does a single cell need?'] = 'How much electrolyte does a single cell need?';
catalog['How much ice at -10 degrees C is necessary to get 500g of water down to 0 degrees C?'] = 'Wie viel Eis bei -10\u00b0C ist notwendig, um 500 g Wasser auf  0\u00b0C zu k\u00fchlen?';
catalog['How much laundry detergent left?'] = 'Wieviel W\u00e4schepulver wird \u00fcbrig bleiben?';
catalog['How much more piano practice?'] = 'Wie lang noch Klavier \u00fcben?';
catalog['How much of a pyramid is submerged'] = 'How much of a pyramid is submerged';
catalog['How one neuron can stimulate (or inhibit) another neuron at a chemical synapse'] = 'Wie ein Neuron andere Neuronen an einer chemischen Synapse erregen oder inhibieren (hemmen) kann';
catalog['How one-point linear perspective works'] = 'How one-point linear perspective works';
catalog['How open market operations effect the rate at which banks lend to each other overnight.'] = 'How open market operations effect the rate at which banks lend to each other overnight.';
catalog['How professional antigen presenting cells present parts of engulfed pathogens on MHC II complexes (major histocompatibility complexes).'] = 'How professional antigen presenting cells present parts of engulfed pathogens on MHC II complexes (major histocompatibility complexes).';
catalog['How public resources can be abused'] = 'How public resources can be abused';
catalog['How reserve requirements limit how much lending a bank can do.'] = 'Wie Mindestreserve-Pflichten beschr\u00e4nken wieviel eine Bank leihen kann.';
catalog['How should two people split the pot when they are interrupted midgame?'] = 'How should two people split the pot when they are interrupted midgame?';
catalog['How states choose their delegates for the national party conventions (video content under CC-BY-SA license)'] = 'How states choose their delegates for the national party conventions (video content under CC-BY-SA license)';
catalog['How symbolic language drives collective learning and how this is one of the truly differentiating aspects of human beings relative to the rest of the animal kingdom'] = 'How symbolic language drives collective learning and how this is one of the truly differentiating aspects of human beings relative to the rest of the animal kingdom';
catalog['How the "Owl Butterfly" may have gotten the spot on its wings.'] = 'Wie der "Bananenfalter" m\u00f6glicherweise Flecken auf seine Fl\u00fcgen bekam.';
catalog['How the Chinese Central Bank could peg the Yuan to the dollar by printing Yuan and buying dollars (building up a dollar reserve)'] = 'How the Chinese Central Bank could peg the Yuan to the dollar by printing Yuan and buying dollars (building up a dollar reserve)';
catalog['How the Chinese buying of American debt leads to lower interest rates'] = 'How the Chinese buying of American debt leads to lower interest rates';
catalog['How the Earth is a the byproduct of a local supernova'] = 'Wie die Erde ein Nebenprodukt einer lokalen Supernova ist';
catalog['How the FICA tax is calculated and what it stands for'] = 'How the FICA tax is calculated and what it stands for';
catalog['How the bank can liquidate assets to pay off debt that comes due.'] = 'How the bank can liquidate assets to pay off debt that comes due.';
catalog['How the banks are connected.  What happens when one bank fails.'] = 'How the banks are connected.  What happens when one bank fails.';
catalog['How the choices you make in your blended model impact the kind of school you run'] = 'How the choices you make in your blended model impact the kind of school you run';
catalog['How the concepts of "non-cognitive skills" play out in a blended-learning setting'] = 'How the concepts of "non-cognitive skills" play out in a blended-learning setting';
catalog['How the demand for some goods could actually go down if incomes go up'] = 'How the demand for some goods could actually go down if incomes go up';
catalog['How the economic machine works quiz'] = 'How the economic machine works quiz';
catalog['How the equilibrium price or quantity might change due to changes in supply or demand'] = 'How the equilibrium price or quantity might change due to changes in supply or demand';
catalog['How the indigenous Australians used fire to change their environment'] = 'How the indigenous Australians used fire to change their environment';
catalog['How the normal force changes when an elevator accelerates'] = 'How the normal force changes when an elevator accelerates';
catalog['How the penicillin in bread mold kills bacteria.'] = 'How the penicillin in bread mold kills bacteria.';
catalog['How the price of inputs, price of related goods, number of suppliers technology, and expected future prices affects the supply curve'] = 'How the price of inputs, price of related goods, number of suppliers technology, and expected future prices affects the supply curve';
catalog['How the theory of liquidity preference drives demand for money and the LM (liquidity preference-money supply) curve'] = 'How the theory of liquidity preference drives demand for money and the LM (liquidity preference-money supply) curve';
catalog['How the unemployment rate is calculated'] = 'How the unemployment rate is calculated';
catalog['How to Rationalize a Denominator'] = 'Wie man einen Nenner rational macht';
catalog['How to account for things when you own the building instead of renting it'] = 'How to account for things when you own the building instead of renting it';
catalog['How to add and subtract fractions.'] = 'Wie man Br\u00fcche addiert und subtrahiert.';
catalog['How to add demand curves'] = 'How to add demand curves';
catalog['How to analyze the reactivity of the carboxylic acid derivatives using induction and resonance effects. By Jay.'] = 'How to analyze the reactivity of the carboxylic acid derivatives using induction and resonance effects. By Jay.';
catalog['How to balance a redox reaction in base. By Jay.'] = 'How to balance a redox reaction in base. By Jay.';
catalog['How to brush up for college'] = 'How to brush up for college';
catalog['How to determine the product of an intramolecular aldol condensation. By Jay.'] = 'How to determine the product of an intramolecular aldol condensation. By Jay.';
catalog['How to direct a mixed aldol condensation using a lithium enolate. By Jay.'] = 'How to direct a mixed aldol condensation using a lithium enolate. By Jay.';
catalog['How to draw squiggles like a Hilbert.'] = 'Wie man Schn\u00f6rkel wie Hilbert zeichnet.';
catalog['How to draw the mechanism for a Fischer esterification. By Jay.'] = 'How to draw the mechanism for a Fischer esterification. By Jay.';
catalog['How to express a fraction as a decimal'] = 'Wie ein Bruch als Dezimalzahl dargestellt werden kann';
catalog['How to factor in negative externalities through taxation'] = 'How to factor in negative externalities through taxation';
catalog['How to find the distance between lines using the Pythagorean Formula'] = 'Wie du den Abstand (Distanz) zwischen Linien mit dem Satz des Pythagoras herausfindest';
catalog['How to find the product of a mixed (crossed) aldol condensation. By Jay.'] = 'How to find the product of a mixed (crossed) aldol condensation. By Jay.';
catalog['How to form different enolates from ketones. By Jay.'] = 'How to form different enolates from ketones. By Jay.';
catalog['How to form enolates from aldehydes using sodium ethoxide and sodium hydride. By Jay.'] = 'How to form enolates from aldehydes using sodium ethoxide and sodium hydride. By Jay.';
catalog['How to get correct advice when you can only ask one question from either a liar or a truth-teller (when you don\'t know who is what)'] = 'Wie du den richtigen Rat erh\u00e4ltst, wenn Du einem L\u00fcgner und einem Nicht-L\u00fcgner nur eine Frage stellen kannst, (und wenn du nicht wei\u00dft, wer wer ist)';
catalog['How to interpret the market price of a futures contract relative to the fair value in the premarket'] = 'How to interpret the market price of a futures contract relative to the fair value in the premarket';
catalog['How to learn better'] = 'Wie man besser lernt';
catalog['How to make snazzy-lookin&#39; fractal equations using simple algebra. For more abacabadabacaba: http://www.abacaba.org/ and http://books.google.com/books?id=QpPlxwSa8akC&amp;pg=PA60&amp;lpg=PA60&amp;dq=abacabadabacaba+%22martin+gardner%22&amp;source=bl&amp;ots=92eAyvrZGV&amp;sig=J2uvF2DAyn9kY8nSarSy-XIXW74&amp;hl=en&amp;sa=X&amp;ei=Np45T4K9GYixiQK92NG2Bg&amp;ved=0CCEQ6AEwAA#v=onepage&amp;q&amp;f=false'] = 'How to make snazzy-lookin&#39; fractal equations using simple algebra. For more abacabadabacaba: http://www.abacaba.org/ and http://books.google.com/books?id=QpPlxwSa8akC&amp;pg=PA60&amp;lpg=PA60&amp;dq=abacabadabacaba+%22martin+gardner%22&amp;source=bl&amp;ots=92eAyvrZGV&amp;sig=J2uvF2DAyn9kY8nSarSy-XIXW74&amp;hl=en&amp;sa=X&amp;ei=Np45T4K9GYixiQK92NG2Bg&amp;ved=0CCEQ6AEwAA#v=onepage&amp;q&amp;f=false';
catalog['How to make your own penny battery'] = 'How to make your own penny battery';
catalog['How to measure an angle in degrees'] = 'Wie man einen Winkel in Grad misst';
catalog['How to name acyl (acid) chlorides and acid anhydrides and how to analyze their physical properties. By Jay.'] = 'How to name acyl (acid) chlorides and acid anhydrides and how to analyze their physical properties. By Jay.';
catalog['How to name amides and the physical properties of acetamide. By Jay.'] = 'How to name amides and the physical properties of acetamide. By Jay.';
catalog['How to name esters and how to analyze their physical properties. By Jay.'] = 'How to name esters and how to analyze their physical properties. By Jay.';
catalog['How to neutralize a compass using two needles. How could this help us later? Why does this work?'] = 'How to neutralize a compass using two needles. How could this help us later? Why does this work?';
catalog['How to prepare acid anhydrides from carboxylic acids. By Jay.'] = 'How to prepare acid anhydrides from carboxylic acids. By Jay.';
catalog['How to prepare acyl (acid) chlorides using thionyl chloride. By Jay.'] = 'How to prepare acyl (acid) chlorides using thionyl chloride. By Jay.';
catalog['How to prepare students to thrive in a blended learning environment'] = 'How to prepare students to thrive in a blended learning environment';
catalog['How to rationalize a denominator'] = 'Wie man einen Nenner rational macht';
catalog['How to reduce carboxylic acids using lithium aluminum hydride (and borane). By Jay.'] = 'How to reduce carboxylic acids using lithium aluminum hydride (and borane). By Jay.';
catalog['How to snakes'] = 'How to snakes';
catalog['How to solve a quadratic inequality.  Visual intuition of what a quadratic inequality means.'] = 'Wie man eine quadratische Ungleichung l\u00f6st.  Visuelles Gef\u00fchl daf\u00fcr, was eine quadratische Ungleichung bedeutet.';
catalog['How to think about the aldol condensation using retrosynthesis. By Jay.'] = 'How to think about the aldol condensation using retrosynthesis. By Jay.';
catalog['How to think about this problem'] = 'How to think about this problem';
catalog['How to use KA Brush Up resources for college math'] = 'How to use KA Brush Up resources for college math';
catalog['How to use object-oriented concepts in JavaScript to make more re-usable code.'] = 'How to use object-oriented concepts in JavaScript to make more re-usable code.';
catalog['How to use the Hell-Volhard-Zelinksy (HVZ) reaction to synthesize alpha-amino acids. By Jay.'] = 'How to use the Hell-Volhard-Zelinksy (HVZ) reaction to synthesize alpha-amino acids. By Jay.';
catalog['How to use the quadratic formula'] = 'Wie man die quadratische L\u00f6sungsformel benutzt';
catalog['How to use this Brush Up with your Learning Dashboard'] = 'How to use this Brush Up with your Learning Dashboard';
catalog['How to use this Brush Up with your Learning dashboard'] = 'How to use this Brush Up with your Learning dashboard';
catalog['How two parties can get better outcomes by specializing in their comparative advantage and trading'] = 'How two parties can get better outcomes by specializing in their comparative advantage and trading';
catalog['How variation can be introduced into a species.'] = 'Wie Variationen in Arten etabliert werden k\u00f6nnen.';
catalog['How velocity of money can drive price increases'] = 'How velocity of money can drive price increases';
catalog['How was the modern world created?'] = 'How was the modern world created?';
catalog['How we elect our President in the United States'] = 'Wie in den USA der Pr\u00e4sident gew\u00e4hlt wird';
catalog['How we know about the earth\'s core'] = 'How we know about the earth\'s core';
catalog['How we measure volume'] = 'Wie wir Raumvolumen messen';
catalog['How we proved an asteroid wiped out the dinosaurs'] = 'How we proved an asteroid wiped out the dinosaurs';
catalog['How were stars formed?'] = 'How were stars formed?';
catalog['How will resources and opportunity be distributed in the future? American Scholar Henry Louis Gates, Jr. hopes that the advances of technology will benefit everyone.<br>'] = 'How will resources and opportunity be distributed in the future? American Scholar Henry Louis Gates, Jr. hopes that the advances of technology will benefit everyone.<br>';
catalog['How you can have deflation even if the money supply increases'] = 'How you can have deflation even if the money supply increases';
catalog['Hubble Image of Galaxies'] = 'Galaxienbilder des Hubble-Teleskops';
catalog['Hubble image of galaxies'] = 'Hubble image of galaxies';
catalog['Hubble\'s Law'] = 'Hubble Gesetz';
catalog['Hubble\'s law'] = 'Hubble\'s law';
catalog['Hugo van der Goes, The Adoration of the Kings (Monforte Altar), c. 1470, oil on oak, 147 x 242 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin)'] = 'Hugo van der Goes, The Adoration of the Kings (Monforte Altar), c. 1470, oil on oak, 147 x 242 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin)';
catalog['Human Evolution'] = 'Human Evolution';
catalog['Human Origins'] = 'Human Origins';
catalog['Human biology'] = 'Humanbiologie';
catalog['Human capital'] = 'Human capital';
catalog['Human evolution overview'] = 'Human evolution overview';
catalog['Human expression existed across the globe before the written record. While prehistoric art of Europe has been the focus of many introductions to the history of art, very early art is found worldwide and shares certain features, particularly concern with the natural world and humans\u2019 place within it.\n\nBy permission, \u00a9 2013 The College Board'] = 'Human expression existed across the globe before the written record. While prehistoric art of Europe has been the focus of many introductions to the history of art, very early art is found worldwide and shares certain features, particularly concern with the natural world and humans\u2019 place within it.\n\nBy permission, \u00a9 2013 The College Board';
catalog['Human population growth'] = 'Bev\u00f6lkerungswachstum';
catalog['Human prehistory 101 part 1: Out of (eastern) Africa'] = 'Human prehistory 101 part 1: Out of (eastern) Africa';
catalog['Human prehistory 101 part 2: Weathering the storm'] = 'Human prehistory 101 part 2: Weathering the storm';
catalog['Human prehistory 101 part 3: Agriculture rocks our world'] = 'Human prehistory 101 part 3: Agriculture rocks our world';
catalog['Human prehistory 101: Epilogue'] = 'Human prehistory 101: Epilogue';
catalog['Human prehistory 101: Prologue'] = 'Human prehistory 101: Prologue';
catalog['Humanistic theory'] = 'Humanistic theory';
catalog['Humanities'] = 'Geisteswissenschaften';
catalog['Humanity on Earth'] = 'Menschheit auf Erden';
catalog['Humanity on earth'] = 'Menschheit auf Erden';
catalog['Humans are unusual. We walk upright and build cities. We travel from continent to continent in hours. We communicate across the globe in an instant. We alone can build bombs and invent medicines. Why can we do all these things that other creatures can\u2019t? What makes us so different from other species?'] = 'Humans are unusual. We walk upright and build cities. We travel from continent to continent in hours. We communicate across the globe in an instant. We alone can build bombs and invent medicines. Why can we do all these things that other creatures can\u2019t? What makes us so different from other species?';
catalog['Humans have been making art for tens of thousands of years, long before there was writing. Why was Egyptian art obsessed with death? Why did the ancient Greeks seek the perfect human form? How did the ancient Romans use art as state propaganda? Why was the naturalism of ancient Greek and Roman art abandoned with the rise of Christianity? This topic explores the art of the ancient world, from the Venus of Willendorf to a 6th-Century Chinese Bodhisattva.'] = 'Humans have been making art for tens of thousands of years, long before there was writing. Why was Egyptian art obsessed with death? Why did the ancient Greeks seek the perfect human form? How did the ancient Romans use art as state propaganda? Why was the naturalism of ancient Greek and Roman art abandoned with the rise of Christianity? This topic explores the art of the ancient world, from the Venus of Willendorf to a 6th-Century Chinese Bodhisattva.';
catalog['Hundred days and Waterloo'] = 'Hundred days and Waterloo';
catalog['Hundreds, tens, and ones'] = 'Hunderter, Zehner und Einer';
catalog['Hunt, Claudio and Isabella'] = 'Hunt, Claudio und Isabella';
catalog['Hunt, Our English Coasts ("Strayed Sheep")'] = 'Hunt, Our English Coasts ("Strayed Sheep")';
catalog['Hunt, the Awakening Conscience'] = 'Hunt, the Awakening Conscience';
catalog['Hybrid orbitals'] = 'Hybridorbitale';
catalog['Hybridization'] = 'Hybridisierung';
catalog['Hydration of alkynes'] = 'Hydration of alkynes';
catalog['Hydration'] = 'Hydration';
catalog['Hydroboration-oxidation of alkynes'] = 'Hydroboration-oxidation of alkynes';
catalog['Hydroboration-oxidation'] = 'Hydroboration-oxidation';
catalog['Hydrogenation'] = 'Hydrogenation';
catalog['Hydrohalogenation of alkynes'] = 'Hydrohalogenation of alkynes';
catalog['Hydrohalogenation'] = 'Hydrohalogenation';
catalog['Hyperbola and parabola examples'] = 'Hyperbeln und Parabeln Beispiele';
catalog['Hyperbolas'] = 'Hyperbeln';
catalog['Hyperbolic function inspiration'] = 'Hyperbolic function inspiration';
catalog['Hyperbolic functions and the unit hyperbola'] = 'Hyperbolic functions and the unit hyperbola';
catalog['Hyperbolic functions'] = 'Hyperbolische Funktionen';
catalog['Hyperinflation'] = 'Hyperinflation';
catalog['Hyperplasia in colon tissue'] = 'Hyperplasia in colon tissue';
catalog['Hypertension effects on the blood vessels'] = 'Hypertension effects on the blood vessels';
catalog['Hypertension effects on the heart'] = 'Hypertension effects on the heart';
catalog['Hypertension symptoms and categories'] = 'Hypertension symptoms and categories';
catalog['Hypertension'] = 'Bluthochdruck (Hypertonie)';
catalog['Hypnosis and meditation'] = 'Hypnosis and meditation';
catalog['Hypotenuse of right triangle inscribed in circle'] = 'Hypotenuse des rechtwinkligen Dreiecks im Kreis eingeschrieben';
catalog['Hypothesis Test Comparing Population Proportions'] = 'Hypothesen Test zum Vergleich der Anteile in der Grundgesamtheit';
catalog['Hypothesis Test for Difference of Means'] = 'Hypothese Test f\u00fcr mittlere Abweichung vom Mittelwert';
catalog['Hypothesis Testing and P-values'] = 'Hypothesen testen und die P-Werte';
catalog['Hypothesis test comparing population proportions'] = 'Hypothesen Test zum Vergleich der Anteile in der Grundgesamtheit';
catalog['Hypothesis test for difference of means'] = 'Hypothese Test f\u00fcr mittlere Abweichung vom Mittelwert';
catalog['Hypothesis testing and p-values'] = 'Hypothesen testen und die P-Werte';
catalog['Hypothesis testing for new cholesterol test'] = 'Hypothesis testing for new cholesterol test';
catalog['Hypothesis testing in experiments'] = 'Hypothesis testing in experiments';
catalog['Hypothesis testing with one sample'] = 'Hypothese testen mit einer Stichprobe';
catalog['Hypothesis testing with two samples'] = 'Hypothese testen mit zwei Stichproben';
catalog['Hypothesis testing'] = 'Hypothesis testing';
catalog['Hypothetical bank balance sheet.  What book value means.'] = 'Hypothetical bank balance sheet.  What book value means.';
catalog['Hypoxic pulmonary vasoconstriction'] = 'Hypoxic pulmonary vasoconstriction';
catalog['I don\'t even know if this makes sense. Boo cold.\n\nhttp://en.wikipedia.org/wiki/Ulam_spiral\n\nDoodling in Math Class videos: http://vihart.com/doodling'] = 'I don\'t even know if this makes sense. Boo cold.\n\nhttp://en.wikipedia.org/wiki/Ulam_spiral\n\nDoodling in Math Class videos: http://vihart.com/doodling';
catalog['I paid $5.00 for some tanning lotion (ok, I\'ve never really bought tanning lotion) after a 35% discount. How can we find the full price?\n\nYou know how to take a percentage.  In this tutorial, we use our newfound powers to solve equations to tackle fascinating percentage problems.'] = 'Ich habe 3,00\u20ac f\u00fcr eine Br\u00e4unungscreme bezahlt (ok, ich hab mir eigentlich noch nie Br\u00e4unungscreme gekauft) und hatte einen Rabatt von 35%. Woher wei\u00df man jetzt den vollen Preis?\n\nDu wei\u00dft bereits, wie man mit Prozenten rechnet. In diesem Tutorial nutzt du deine neu gewonnenen Superkr\u00e4fte um Gleichungen zu l\u00f6sen, die sich mit faszinierenden Prozentaufgaben befassen.';
catalog['I try hard but do not learn, why?'] = 'Ich bem\u00fche mich sehr, aber ich lerne nicht - warum?';
catalog['IIT JEE Questions'] = 'IIT JEE Fragen';
catalog['IIT JEE algebraic manipulation'] = 'IIT JEE algebraic manipulation';
catalog['IIT JEE circle hyperbola common tangent part 1'] = 'IIT JEE Gemeinsame Tangente eines Kreises und einer Hyperbel Teil 1';
catalog['IIT JEE circle hyperbola common tangent part 2'] = 'IIT JEE Gemeinsame Tangente eines Kreises und einer Hyperbel Teil 2';
catalog['IIT JEE circle hyperbola common tangent part 3'] = 'IIT JEE Gemeinsame Tangente eines Kreises und einer Hyperbel Teil 3';
catalog['IIT JEE circle hyperbola common tangent part 4'] = 'IIT JEE Gemeinsame Tangente eines Kreises und einer Hyperbel Teil 4';
catalog['IIT JEE circle hyperbola common tangent part 5'] = 'IIT JEE Gemeinsame Tangente eines Kreises und einer Hyperbel Teil 5';
catalog['IIT JEE circle hyperbola intersection'] = 'IIT JEE Schnittpunkte eines Kreises und einer Hyperbel';
catalog['IIT JEE complex numbers (part 1)'] = 'IIT JEE komplexe Zahlen (Teil 1)';
catalog['IIT JEE complex numbers (part 2)'] = 'IIT JEE komplexe Zahlen (Teil 2)';
catalog['IIT JEE complex numbers (part 3)'] = 'IIT JEE komplexe Zahlen (Teil 3)';
catalog['IIT JEE complex root probability (part 1)'] = 'IIT JEE complex root probability (part 1)';
catalog['IIT JEE complex root probability (part 2)'] = 'IIT JEE complex root probability (part 2)';
catalog['IIT JEE diameter slope'] = 'IIT JEE diameter slope';
catalog['IIT JEE differentiability and boundedness'] = 'IIT JEE differentiability and boundedness';
catalog['IIT JEE divisible determinants'] = 'IIT JEE divisible determinants';
catalog['IIT JEE function maxima'] = 'IIT JEE function maxima';
catalog['IIT JEE hairy trig and algebra (part 1)'] = 'IIT JEE hairy trig and algebra (part 1)';
catalog['IIT JEE hairy trig and algebra (part 2)'] = 'IIT JEE hairy trig and algebra (part 2)';
catalog['IIT JEE hairy trig and algebra (part 3)'] = 'IIT JEE hairy trig and algebra (part 3)';
catalog['IIT JEE integral limit'] = 'IIT JEE integral limit';
catalog['IIT JEE integral with binomial expansion'] = 'IIT JEE integral with binomial expansion';
catalog['IIT JEE lagrange\'s formula'] = 'IIT JEE Lagrange Formel';
catalog['IIT JEE perpendicular plane (part 2)'] = 'IIT JEE perpendicular plane (part 2)';
catalog['IIT JEE perpendicular planes (part 1)'] = 'IIT JEE perpendicular planes (part 1)';
catalog['IIT JEE position vectors'] = 'IIT JEE position vectors';
catalog['IIT JEE symmetric and skew-symmetric matrices'] = 'IIT JEE symmetric and skew-symmetric matrices';
catalog['IIT JEE trace and determinant'] = 'IIT JEE trace and determinant';
catalog['IIT JEE trigonometric constraints'] = 'IIT JEE trigonometric constraints';
catalog['IIT JEE trigonometric maximum'] = 'IIT JEE trigonometrisches Maximum';
catalog['IIT JEE trigonometry problem 1'] = 'IIT JEE Trigonometrie Problem 1';
catalog['IIT JEE'] = 'IIT JEE';
catalog['IR sensor'] = 'IR sensor';
catalog['IS-LM Model'] = 'IST-LM-Modell';
catalog['IS-LM model'] = 'IS-LM model';
catalog['I\'d like a hint'] = 'Ich m\u00f6chte einen Tipp';
catalog['Ice accelerating down an incline'] = 'Ice accelerating down an incline';
catalog['Icon of Saint George (the "Black George")'] = 'Icon of Saint George (the "Black George")';
catalog['Icon of Saint George (the "Black George"), late 14th Century, tempera, gesso on linden (?) panel, 77.4 x 57 cm (British Museum, London) \n\nSpeakers: Pippa Couch and Rachel Ropeik'] = 'Icon of Saint George (the "Black George"), late 14th Century, tempera, gesso on linden (?) panel, 77.4 x 57 cm (British Museum, London) \n\nSpeakers: Pippa Couch and Rachel Ropeik';
catalog['Icon of the Triumph of Orthodoxy (Byzantine), c. 1400, tempera and gold on wood, \n39 cm x 31 cm (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik'] = 'Icon of the Triumph of Orthodoxy (Byzantine), c. 1400, tempera and gold on wood, \n39 cm x 31 cm (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik';
catalog['Icon of the Triumph of Orthodoxy'] = 'Icon of the Triumph of Orthodoxy';
catalog['Idea behind inverting a 2x2 matrix'] = 'Die Idee hinter der Inversion einer 2 x 2 Matrix';
catalog['Idea behind point slope form'] = 'Die Vorstellung hinter der Punkt-Steigungsform';
catalog['Ideal Math and Science Class Time'] = 'Ideale Mathematik- und Wissenschaftsunterrichtszeiten';
catalog['Ideal gas equation example 1'] = 'Ideal gas equation example 1';
catalog['Ideal gas equation example 2'] = 'Ideal gas equation example 2';
catalog['Ideal gas equation example 3'] = 'Ideal gas equation example 3';
catalog['Ideal gas equation example 4'] = 'Ideal gas equation example 4';
catalog['Ideal gas equation: PV = nRT'] = 'Ideal gas equation: PV = nRT';
catalog['Ideal gas laws'] = 'Gesetze idealer Gase';
catalog['Ideal stoichiometry'] = 'Ideale St\u00f6chiometrie';
catalog['Ideas like liberty, freedom, and self-determination were hot stuff in the late 18th century, as evidenced by our recent revolutionary videos. Although freedom was breaking out all over, many of the societies that were touting these ideas relied on slave labor. Few places in the world relied so heavily on slave labor as Saint-Domingue, France&#39;s most profitable colony. Slaves made up nearly 90% of Saint-Domingue&#39;s population, and in 1789 they couldn&#39;t help but hear about the revolution underway in France. All the talk of liberty, equality, and fraternity sounds pretty good to a person in bondage, and so the slaves rebelled. This led to not one but two revolutions, and ended up with France, the rebels, Britain, and Spain all fighting in the territory. Spoiler alert: the slaves won. So how did the slaves of what would become Haiti throw off the yoke of one of the world&#39;s great empires? John Green tells how they did it, and what it has meant in Haiti and in the rest of the world.'] = 'Ideas like liberty, freedom, and self-determination were hot stuff in the late 18th century, as evidenced by our recent revolutionary videos. Although freedom was breaking out all over, many of the societies that were touting these ideas relied on slave labor. Few places in the world relied so heavily on slave labor as Saint-Domingue, France&#39;s most profitable colony. Slaves made up nearly 90% of Saint-Domingue&#39;s population, and in 1789 they couldn&#39;t help but hear about the revolution underway in France. All the talk of liberty, equality, and fraternity sounds pretty good to a person in bondage, and so the slaves rebelled. This led to not one but two revolutions, and ended up with France, the rebels, Britain, and Spain all fighting in the territory. Spoiler alert: the slaves won. So how did the slaves of what would become Haiti throw off the yoke of one of the world&#39;s great empires? John Green tells how they did it, and what it has meant in Haiti and in the rest of the world.';
catalog['Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.'] = 'Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.';
catalog['Identify concave upwards and concave downwards intervals on graphs of functions'] = 'Identify concave upwards and concave downwards intervals on graphs of functions';
catalog['Identify intervals with positive and negative slope on graphs of functions'] = 'Identify intervals with positive and negative slope on graphs of functions';
catalog['Identify positive and negative integers on the number line'] = 'Positive und negative ganze Zahlen am Zahlenstrahl erkennen';
catalog['Identify positive and negative integers on the number line.'] = 'Identifiziere positive und negative ganze Zahlen auf dem Zahlenstrahl.';
catalog['Identify positive and negative regions on graphs of functions'] = 'Bestimmung positiver und negativer Abschnitte von Funktionsgraphen';
catalog['Identify the dimensions of a matrix'] = 'Identifiziere die Dimensionen einer Matrix\n';
catalog['Identifying  a function\'s derivative example'] = 'Identifying  a function\'s derivative example';
catalog['Identifying Fraction Parts'] = 'Identifizierung Bruch Teile';
catalog['Identifying Parallel and Perpendicular Lines'] = 'Identifizieren von parallelen und normalen Geraden';
catalog['Identifying Percent Amount and Base'] = 'Identifizierung von Prozentsatz, Betrag und Basis';
catalog['Identifying Rays'] = 'Identifizierung von Strahlen';
catalog['Identifying a hyperbola from an equation'] = 'Eine Hyperbel in einer Gleichung erkennen';
catalog['Identifying an ellipse from equation'] = 'Identifikation einer Ellipse aus einer Gleichung';
catalog['Identifying circles and parabolas from equations'] = 'Kreise und Parabeln aus Gleichungen heraus erkennen';
catalog['Identifying dependent and independent events'] = 'Identifying dependent and independent events';
catalog['Identifying fraction parts'] = 'Teile eines Bruchs bestimmen';
catalog['Identifying graph based on roots'] = 'Identifying graph based on roots';
catalog['Identifying minima and maxima for x^3 - 12x + 2'] = 'Minimum und Maximum von  x^3 - 12x + 2';
catalog['Identifying numerators and denominators'] = 'Z\u00e4hler und Nenner ermitteln';
catalog['Identifying parallel and perpendicular lines'] = 'Identifizieren von parallelen und normalen Geraden';
catalog['Identifying parts of expressions'] = 'Identifiziere Teile von Ausdr\u00fccken';
catalog['Identifying percent amount and base'] = 'Identifizierung von Prozentsatz, Betrag und Basis';
catalog['Identifying prime numbers'] = 'Primzahlen ermitteln';
catalog['Identifying rays'] = 'Identifizierung von Strahlen';
catalog['Identifying relative minimum and maximum values'] = 'Identifying relative minimum and maximum values';
catalog['Identifying sequence convergence and divergence'] = 'Ermittlung der Konvergenz und Divergenz von Folgen';
catalog['Identifying similar triangles in the coordinate plane'] = 'Identifying similar triangles in the coordinate plane';
catalog['Identifying slope of a line'] = 'Die Steigung einer Geraden ermitteln';
catalog['Identifying the intermolecular forces present between molecules'] = 'Identifying the intermolecular forces present between molecules';
catalog['Identifying, solving, and graphing various types of functions.'] = 'Beschreibe, berechne und zeichne den Graphen verschiedener Funktionstypen.';
catalog['Identity Property of 1'] = 'Identit\u00e4ts Eigenschaft von 1';
catalog['Identity and zero matrix equation'] = 'Identit\u00e4t und Null-Matrizengleichung';
catalog['Identity matrix'] = 'Einheitsmatrix';
catalog['Identity property of 0'] = 'Nachweis der Identit\u00e4t von 0';
catalog['Identity property of 1 (second example)'] = 'Nachweis der Identit\u00e4t von 1 (zweites Beispiel)';
catalog['Identity property of 1'] = 'Nachweis der Identit\u00e4t von 1';
catalog['If 3 kids each have two robot possums, how many total robot possums do we have?\n\nYou liked addition, but now you\'re ready to go to the next level.  Depending on how you view it, multiplication is about repeated addition or scaling a number or seeing what number you get when you have another number multiple times.  If that last sentence made little sense, you might enjoy this tutorial.'] = 'Wenn 3 Kinder je zwei Kaninchen haben, wie viele Kaninchen haben wir dann insgesamt?\n\nDas Zusammenz\u00e4hlen von Zahlen hat dir Spa\u00df gemacht, aber jetzt bist du bereit f\u00fcr das n\u00e4chste Level. Du kannst das Multiplizieren auffassen als wiederholtes Addieren, oder als das Vergr\u00f6\u00dfern oder Verkleinern einer Zahl, oder einfach herausfinden was rauskommt, wenn du eine andere Zahl mehrfach besitzt. Wenn dir dieser letzte Satz nicht viel sagt, dann k\u00f6nnte dir dieses Tutorial Spa\u00df machen.';
catalog['If I cut a pizza into eight equal slices, we already know that each slice is 1/8 of the pizza.  But what fraction of the pizza have I eaten if I eat 3 slices?  Well, what is 3 x 1/8?  This tutorial will explain all!\n\nCommon Core Standards: 4.NF.B.4, 4.NF.B.4a, 4.NF.B.4b\t, 4.NF.B.4c'] = 'Wenn ich eine Pizza in acht gleich gro\u00dfe St\u00fccke schneide, dann - das wissen wir schon - ist jedes St\u00fcck 1/8 der Pizza. Aber welchen Teil der Pizza haben ich gegessen, wenn ich 3 St\u00fccke esse? Also, was ist 3 x 1/8? Dieses Tutorial erkl\u00e4rt das alles.\n\nCommon Core Standards: 4.NF.B.4, 4.NF.B.4a, 4.NF.B.4b\t, 4.NF.B.4c';
catalog['If a function is always smaller than one function and always greater than another (i.e. it is always between them), then if the upper and lower function converge to a limit at a point, then so does the one in between.  Not only is this useful for proving certain tricky limits (we use it to prove lim (x \u2192 0) of (sin x)/x, but it is a useful metaphor to use in life (seriously). :)\n\nThis tutorial is useful but optional.  It is covered in most calculus courses, but it is not necessary to progress on to the "Introduction to derivatives" tutorial.'] = 'Wenn eine Funktion ist immer kleiner als eine Funktion und immer gr\u00f6\u00dfer als eine Andere (d. h. sie ist immer dazwischen) und wenn die obere und untere Funktion zu einem gemeinsamen Grenzwert konvergieren, dann hat die Funktion in der Mitte die gleiche Eigenschaft.  Das ist nicht nur  hilfreich zum Nachweis bestimmter schwierigen Grenzwerte (wir nehmen diese Eigenschaft f\u00fcr den Grenzwert lim (x \u2192 0) von (sin X) / x), aber es ist auch eine n\u00fctzliche Metapher im Leben (ernsthaft !) .:) \n\n Dieses Tutorial ist n\u00fctzlich aber optional.  Es ist in den meisten Analysis-Kursen enthalten, aber es ist nicht notwendig, f\u00fcr das Tutorial "Einf\u00fchrungen in Ableitungen".';
catalog['If no vector in a set can be created from a linear combination of the other vectors in the set, then we say that the set in linearly independent.  Linearly independent sets are great because there aren\'t any extra, unnecessary vectors lying around in the set. :)'] = 'Wenn kein Vektor aus der Menge aus einer Linearkombination der anderen Vektoren dieser Menge erzeugt werden kann, so sagen wir, dass diese Menge linear unabh\u00e4ngig ist. Linear unabh\u00e4ngige Mengen sind toll, denn es liegen keine zus\u00e4tzlichen, unn\u00f6tigen Vektoren in der Menge. :)';
catalog['If over the last hour on the highway, you averaged 60 miles per hour, then you must have been going exactly 60 miles per hour at some point.  This is the gist of the mean value theorem (which generalizes the idea for any continuous, differentiable function).'] = 'If over the last hour on the highway, you averaged 60 miles per hour, then you must have been going exactly 60 miles per hour at some point.  This is the gist of the mean value theorem (which generalizes the idea for any continuous, differentiable function).';
catalog['If the value of money is constantly changing, can we compare investment return in the future or past to that earned in the present?  This tutorial focuses on how to do this (another good tutorial to watch is the one on "present value").'] = 'Der Wert des Geldes \u00e4ndert sich st\u00e4ndig - l\u00e4sst sich ein Kapitalertrag aus der Vergangenheit oder in der Zukunft mit Ertr\u00e4gen der Gegenwart vergleichen? Diese \u00dcbung gibt eine Anleitung dazu (eine zus\u00e4tzlich empfohlene \u00dcbung ist "Der Gegenwartswert").';
catalog['If there was one century in the past that saw radical changes in established ways of thinking comparable to the 20th Century, it would be the 16th. Before this, in Western Europe, there was only one type of Christianity\u2014under the authority of the Pope in Rome. But in 1517 a German theologian and monk, Martin Luther, sparked the Protestant Reformation. His ideas spread quickly, thanks in part to the printing press. Luther challenged the power of the Pope and the Church, and asserted the authority of individual conscience. At the same time, it was increasingly possible for people to read the bible in the languages that they spoke. It is also during this period that the Scientific Revolution began and observation replaced religious doctrine as the source of our understanding of the universe and our place in it. At mid-century, Copernicus suggested that the sun was at the center of solar system (not the earth), radically repositioning human beings and therefore calling into question our centrality in the universe that God had created.'] = 'If there was one century in the past that saw radical changes in established ways of thinking comparable to the 20th Century, it would be the 16th. Before this, in Western Europe, there was only one type of Christianity\u2014under the authority of the Pope in Rome. But in 1517 a German theologian and monk, Martin Luther, sparked the Protestant Reformation. His ideas spread quickly, thanks in part to the printing press. Luther challenged the power of the Pope and the Church, and asserted the authority of individual conscience. At the same time, it was increasingly possible for people to read the bible in the languages that they spoke. It is also during this period that the Scientific Revolution began and observation replaced religious doctrine as the source of our understanding of the universe and our place in it. At mid-century, Copernicus suggested that the sun was at the center of solar system (not the earth), radically repositioning human beings and therefore calling into question our centrality in the universe that God had created.';
catalog['If we float two identically magnetized needles they will always orient themselves in the same way. Why?'] = 'If we float two identically magnetized needles they will always orient themselves in the same way. Why?';
catalog['If we\'re not in the mood to research and pick our own stocks, mutual funds and/or ETFs might be a good option.  This tutorial explains what they are and how they are different.'] = 'Wenn die Auswahl eigener Aktien zu zeitintensiv wird, k\u00f6nnen Anlagefonds and / oder Indexfonds eine gute Alternative sein. Diese \u00dcbung erkl\u00e4rt, was solche Fonds sind und was die einzelnen Typen unterscheidet.';
catalog['If you add several rational expressions with lower degree denominator, you are likely to get a sum with a higher degree denominator (which is the least-common multiple of the lower-degree ones).  This tutorial lets us think about going the other way--start with a rational expression with a higher degree denominator and break it up as the sum of simpler rational expressions.'] = 'Wenn du mehrere rationale Ausdr\u00fccke mit niedrig-gradigem Nenner addierst, wirst du vermutlich eine Summe erhalten, die einen h\u00f6her-gradigen Nenner hat (welcher dann das kleinste gemeinsame Vielfache der niedrig-gradigen Nenner ist). Dieses Tutorial regt dich dazu an, \u00fcber genau den anderen Weg nachzudenken - beginne mit einem rationalen Ausdruck mit einem h\u00f6her-gradigen Nenner und brich ihn so auf, dass er die Summe von einfacheren Ausdr\u00fccken ergibt.';
catalog['If you add several rational expressions with lower degree denominator, you are likely to get a sum with a higher degree denominator (which is the least-common multiple of the lower-degree ones).  This tutorial lets us think about going the other way--start with a rational expression with a higher degree denominator and break it up as the sum of simpler rational expressions.\n\nThis has many uses throughout mathematics.  In particular, it is key when taking inverse Laplace transforms in differential equations (which you\'ll take, and rock, after calculus).'] = 'If you add several rational expressions with lower degree denominator, you are likely to get a sum with a higher degree denominator (which is the least-common multiple of the lower-degree ones).  This tutorial lets us think about going the other way--start with a rational expression with a higher degree denominator and break it up as the sum of simpler rational expressions.\n\nThis has many uses throughout mathematics.  In particular, it is key when taking inverse Laplace transforms in differential equations (which you\'ll take, and rock, after calculus).';
catalog['If you already know a bit about both decimals and fractions, this tutorial will help build a bridge between the two.  Through a bunch of examples and practice, you\'ll be able operate in both worlds.  Have fun!'] = 'Wenn du schon etwas \u00fcber Dezimalzahlen und Br\u00fcche wei\u00dft, dann wird dieses Tutorial dir helfen, die Zusammenh\u00e4nge zwischen den beiden zu verstehen. Mit einem Haufen Beispiele und \u00dcbungen wirst du dich bald in beiden Bereichen zu Hause f\u00fchlen. Viel Spa\u00df!';
catalog['If you already know a bit about both decimals and fractions, this tutorial will help build a bridge between the two.  Through a bunch of examples and practice, you\'ll be able operate in both worlds.  Have fun!\n\nCommon Core Standards: 7.NS.A.2d'] = 'Wenn du schon ein bisschen \u00fcber Dezimalzahlen und Br\u00fcche wei\u00dft, wird dir dieses Tutorial helfen, eine Br\u00fccke zwischen den beiden zu bauen.  Durch eine Reihe von Beispielen und Praxisaufgaben, wirst du in der Lage sein, in beiden Welten handzuhaben.  Viel Spass! \n\n Basisnormen: 7.NS.A. 2D';
catalog['If you already know a bit of what fractional reserve banking involves, this tutorial will take you deeper by looking at the actual accounting of central banks and banks.'] = 'Solltest Du bereits wissen um was es bei dem partiellen Reservesystem geht, erkl\u00e4rt Dir dieses Tutorial das Thema genauer in dem es einen Blick auf die tats\u00e4chliche Bilanzierung von Zentralbanken und Banken wirft.';
catalog['If you are an art historian with expertise in this area and would like to contribute content, please contact Beth or Steven.'] = 'If you are an art historian with expertise in this area and would like to contribute content, please contact Beth or Steven.';
catalog['If you can take one figure and flip, shift and rotate (not resize) it to be identical to another figure, then the two figures are congruent.  This topic explores this foundational idea in geometry.'] = 'Wenn du eine Figur so verschieben, drehen oder umklappen kannst (ohne dabei ihre Gr\u00f6\u00dfe zu ver\u00e4ndern) dass sie einer anderen Figur exakt gleicht, dann sind diese beiden Figuren kongruent zueinander. Diese \u00dcbung behandelt diese grundlegende Idee der Geometrie.';
catalog['If you do not have an account on the central server, you can <a href="%(registration_register_url)s">sign up here</a>.'] = 'If you do not have an account on the central server, you can <a href="%(registration_register_url)s">sign up here</a>.';
catalog['If you don\'t understand fractions, you won\'t be even 1/3 educated.  Glasses will seem half empty rather than half full.  You\'ll be lucky to not be duped into some type of shady real-estate scheme or putting far too many eggs in your cake batter.\n\nGood thing this tutorial is here.  You\'ll see that fractions allow us to view the world in entirely new ways.  You\'ll see that everything doesn\'t have to be a whole.  You\'ll be able to slice and dice and then put it all back together (and if you order now, we\'ll throw in a spatula warmer for no extra charge).'] = 'Wenn du Br\u00fcche nicht verstehst, wirst du nicht zu 1/3 ausgebildet sein. Ein Becher scheint halb leer statt halb voll zu sein.  Du kannst dich gl\u00fccklich sch\u00e4tzen, wenn du nicht von illegalen Immobiliengesch\u00e4ften betrogen wirst oder viel zu viele Eier in deinen Kuchenteig r\u00fchrst. Gut, dass dieses Tutorial hier ist. Du wirst sehen, dass Br\u00fcche uns eine ganz neue Sicht auf die Welt erm\u00f6glichen.  Du wirst sehen, dass nicht immer alles ganze sein muss. Du wirst in der Lage sein zu schneiden, zu w\u00fcrfeln und es dann alles wieder zusammenzusetzen. (und wenn du jetzt bestellst, lagen wir einen Tortenheber ohne Aufpreis dazu.)\n';
catalog['If you don\'t understand fractions, you won\'t be even 1/3 educated. Glasses will seem half empty rather than half full. You\'ll be lucky to not be duped into some type of shady real-estate scheme or putting far too many eggs in your cake batter. Good thing this tutorial is here. You\'ll see that fractions allow us to view the world in entirely new ways. You\'ll see that everything doesn\'t have to be a whole. You\'ll be able to slice and dice and then put it all back together (and if you order now, we\'ll throw in a spatula warmer for no extra charge).\n\nCommon Core Standards: 3.NF.A.1, 3.NF.A.2, 3.NF.A.2a, 3.NF.A.2b\t'] = 'Wenn du Br\u00fcche nicht verstehst, bist du nicht einmal 1/3 gebildet. Ein Becher scheint dann halb leer statt halb voll zu sein.  Du kannst dich gl\u00fccklich sch\u00e4tzen, wenn du nicht von illegalen Immobiliengesch\u00e4ften betrogen wirst oder viel zu viele Eier in deinen Kuchenteig r\u00fchrst. Gut, dass dieses Tutorial hier ist. Du wirst sehen, dass Br\u00fcche uns eine ganz neue Sicht auf die Welt erm\u00f6glichen.  Du wirst sehen, dass nicht immer alles ein Ganzes sein muss. Du wirst in der Lage sein zu schneiden, zu w\u00fcrfeln und es dann alles wieder zusammenzusetzen (und wenn du jetzt bestellst, lagen wir einen Tortenheber ohne Aufpreis dazu).\n\nCommon Core Standards: 3.NF.A.1, 3.NF.A.2, 3.NF.A.2a, 3.NF.A.2b\t';
catalog['If you earn a $1, you might spend some fraction of it.  This can then be income for someone else.  This can keep going.  \n\nIn this tutorial, we\'ll explore how the incremental spend per incremental earnings  (marginal propensity to consume) and the multiplier effect based on it can drive economic activity.'] = 'Wenn Du einen Dollar verdienst, k\u00f6nntest Du einen Anteil davon ausgeben. Dies kann dann das Einkommen von jemand anderem sein. Das kann so weiter gehen.  \n\n In diesem Tutorial werden wir uns ansehen wie die inkrementellen Ausgaben je inkrementellen Einkommen (marginale Konsumneigung) und der Multiplikationseffekt wirtschaftliches Wachstum antreiben k\u00f6nnen.';
catalog['If you gladly pay for a hamburger on Tuesday for a hamburger today, is it equivalent to paying for it today?\n\nA reasonable argument can be made that most everything in finance really boils down to "present value".  So pay attention to this tutorial.'] = 'If you gladly pay for a hamburger on Tuesday for a hamburger today, is it equivalent to paying for it today?\n\nA reasonable argument can be made that most everything in finance really boils down to "present value".  So pay attention to this tutorial.';
catalog['If you have ever used a tool of any kind (including the bones in your body), you have employed mechanical advantage.  Whether you used an incline plane to drag something off of a pick-up truck, or the back of a hammer to remove a nail, the world of mechanical advantage surrounds us.'] = 'If you have ever used a tool of any kind (including the bones in your body), you have employed mechanical advantage.  Whether you used an incline plane to drag something off of a pick-up truck, or the back of a hammer to remove a nail, the world of mechanical advantage surrounds us.';
catalog['If you have the expression "3 + 4 x 5", do you add the 3 to the 4 first or multiply the 4 and 5 first?  To clear up confusion here, the math world has defined which operation should get priority over others.  This is super important.  You won\'t really be able to do any involved math if you don\'t get this clear.  But don\'t worry, this tutorial has your back.'] = 'In dem Ausdruck "3 + 4 x 5", z\u00e4hlst du da zuerst 3 und 4 zusammen, oder multiplizierst du zuerst die 4 mit der 5? Um jede Unklarheit zu vermeiden, haben die Mathematiker genau festgelegt, welche Rechenoperation den Vorrang hat. Das ist superwichtig. Du kannst nicht rechnen, wenn du das nicht richtig verstanden hast. Aber keine Sorge, dieses Tutorial zeigt dir genau, wie\'s geht.';
catalog['If you haven\'t watched the movie "A Beautiful Mind", you should.  It is about John Nash (played by Russell Crowe) who won the Nobel Prize in economics for his foundational contributions to game theory.  This is what this tutorial is about.\n\nNash put some structure around how players in a "game" can optimize their outcomes (if the movie is to be fully believed, this insight struck him when he realize that if all his friends hit on the most pretty girl, he should hit on the second-most pretty one).  In this tutorial, we use the classic "prisoner\'s dilemma" to highlight this concept.'] = 'Falls Du den Film "A Beautiful Mind" nicht gesehen hast solltest Du ihn Dir ansehen. Es geht um John Nash (gespielt von Russell Crowe), der den Nobelpreis f\u00fcr \u00d6konomie f\u00fcr seine grundlegenden Beitr\u00e4ge zur Spieltheorie verliehen bekam. Darum geht es in diesem Tutorial.\n\nNash brachte Struktur in die Fragestellung, wie Spieler eines "Spiels" bez\u00fcglich ihrer Auszahlungen optimieren k\u00f6nnen (schenkt man dem Film Glauben, erlangte Nash diese Einsicht als er realisierte dass falls alle seiner Freunde das h\u00fcbscheste M\u00e4dchen ansprechen werden er das zweit-h\u00fcbscheste M\u00e4dchen ansprechen sollte). In diesem Tutorial werden wir das klassische "Gefangenendilemma" verwenden, um dieses Konzept zu erkl\u00e4ren.';
catalog['If you know all of the possible outcomes of a trial (and the associated probabilities of each of them), you can find the exact probability. In many situations, however, we don\'t know this and instead, we estimate the probability based on history of events.  That\'s what we\'re going to do in this tutorial.'] = 'Wenn Sie alle die m\u00f6glichen Ergebnisse einer Studie (und die zugeh\u00f6rigen Wahrscheinlichkeiten von jedem Ergebnis) kennst, kannst du exakte Wahrscheinlichkeit herausfinden. In vielen Situationen jedoch kennen wir diese nicht und sch\u00e4tzen stattdessen die Wahrscheinlichkeit basierend auf der Vorgeschichte von Ereignissen.  Und genau das werden wir in diesem Tutorial tun.';
catalog['If you think you know how to convert between decimals, fractions and percentages and are familiar with negative numbers, this tutorial is a good place to test all of those skills at the same time.'] = 'Wenn Du meinst, du wei\u00dft, wie man zwischen Dezimalzahlen, Br\u00fcchen und Prozent umrechnet und mit negativen Zahlen vertraut bist, dann ist dieses Tutorial ein guter Ort, um all diese Fertigkeiten gleichzeitig zu testen.';
catalog['If you understand how to take an exponent and you\'re looking to take your mathematical game to a new level, then you\'ve found the right tutorial.  Put simply and confusingly, logarithms are inverse operators to exponents (just as subtraction to addition or division to multiplication).  As you\'ll see, taking a logarithm of something tells you what exponent you need to raise a base to to get that number.'] = 'Wenn du verstehst, wie man etwas potenziert und auf der Suche nach einer Erweiterung deines mathematischen Verst\u00e4ndnisses bist, hast du genau das richtige Tutorial gefunden. Einfach und verwirrend gesagt, sind Logarithmen die Umkehroperationen zu Exponenten (so wie Subtraktion zur Addition oder Division zur Multiplikation). Wie du sehen wirst, bedeutet logarithmieren von etwas, dass du wissen willst, womit du die Basis potenzieren musst, um diese Zahl zu erhalten.';
catalog['If you understand what a stock is (also a good idea to look at the topic on accounting and financial statements), then you\'re ready to dig in a bit on a company\'s actual financials.\n\nThis tutorial does this to help you understand what the price of a company really is.'] = 'If you understand what a stock is (also a good idea to look at the topic on accounting and financial statements), then you\'re ready to dig in a bit on a company\'s actual financials.\n\nThis tutorial does this to help you understand what the price of a company really is.';
catalog['If you\'re familiar with taking square roots and cube roots (and other roots), then you\'re ready to see that we can also express these as exponents in ways that are consistent with the exponent properties you know and love!'] = 'Wenn du bereits vertraut bist mit dem Ziehen von Quadratwurzeln und Kubik-Wurzeln (und andere Wurzeln), dann ist es Zeit, dass du siehst, dass wir diese auch als Exponenten darstellen k\u00f6nnen, sodass sie die Eigenschaften von Exponenten aufweisen, die du kennst und liebst!';
catalog['If you\'re familiar with the idea of a square root, we\'re about to take things one step (dimension?) further with the cube root.  This generally refers to finding a number that ,when cubed, is equal to the number that you\'re trying to find the cube root of!'] = 'Wenn du mit der Idee der Quadratwurzel vertraut bist, dann tragen wir diese Idee einen Schritt (oder eine Dimension?) weiter mit der Kubikwurzel (auch: dritte Wurzel). Diese bezieht sich auf das Problem eine Zahl zu finden, die, wenn sie hoch 3 genommen wird, gleich der Zahl ist, dessen Kubikwurzel du finden willst!';
catalog['If you\'re looking to create an army of robot dogs, will it really make a difference if you have 10,300 dogs, 9,997 dogs or 10,005 dogs?  Probably not.  All you really care about is how many dogs you have to, say, the nearest thousand (10,000 dogs).\n\nIn this tutorial, you\'ll learn about conventions for rounding whole numbers.  Very useful when you might not need to (or cannot) be completely precise.'] = 'Wenn du eine Armee von Roboterhunde aufbaust, wird es wirklich einen Unterschied machen, ob du 10.300, 9.997 oder 10.005 Hunde hast? Wahrscheinlich nicht. Was dich wirklich interessiert ist, wie viele Hunde du, sagen wir, auf die n\u00e4chsten Tausend hast (10.000 Hunde). In diesem Tutorial wirst du Konventionen f\u00fcr die Rundung ganze Zahlen lernen. Das ist sehr n\u00fctzlich, wenn du nicht ganz genau sein musst (oder kannst).\n';
catalog['If you\'re looking to create an army of robot dogs, will it really make a difference if you have 10,300 dogs, 9,997 dogs or 10,005 dogs? Probably not. All you really care about is how many dogs you have to, say, the nearest thousand (10,000 dogs). In this tutorial, you\'ll learn about conventions for rounding whole numbers. Very useful when you might not need to (or cannot) be completely precise.\n\nCommon Core Standard: 4.NBT.A.3\t'] = 'Wenn du eine Armee aus Roboterhunden aufstellst, macht es dann wirklich einen Unterschied, ob du 10.300 Hunde, 9.997 Hunde oder 10.005 Hunde hast? Wahrscheinlich nicht. Du musst dich nur darum k\u00fcmmern, was der, sagen wir, n\u00e4chste Tausender deiner Hundeszahl ist (10.000 Hunde). In diesem Tutorial lernst du etwas \u00fcber die Konvention f\u00fcr das Runden von ganzen Zahlen. Das ist sehr n\u00fctzlich, wenn du nicht genau sein musst (oder kannst).\n\nCommon Core Standard: 4.NBT.A.3\t';
catalog['If you\'re starting to sense that there may be more to trig functions than meet the eye, you are sensing right.  In this tutorial you\'ll discover exciting and beautiful and elegant and hilarious relationships between our favorite trig functions (and maybe a few that we don\'t particularly like).\n\nWarning: Many of these videos are the old, rougher Sal with the cheap equipment!'] = 'Wenn du anf\u00e4ngst zu sp\u00fcren, dass es vielleicht mehr zu trigonometrischen Funktionen gibt, dann t\u00e4uscht dich dein Gesp\u00fcr nicht.  In diesem Lernprogramm erf\u00e4hrst du spannende und wundersch\u00f6ne und witzige Beziehungen zwischen unseren liebsten trigonometrischen Funktionen (und vielleicht ein paaren, die wir nicht besonders lieben).\n\nWarnung: viele dieser Videos sind mit dem alte, rauen Sal mit den billigen Ger\u00e4ten!';
catalog['If you\'ve ever struggled to tell someone just how steep something is, you\'ll find the answer here.  In this tutorial, we cover the idea of the slope of a line.  We also think about how slope relates to the equation of a line and how you can determine the slope or y-intercept given some clues.\n\nCommon Core Standard: 8.F.B.4\n'] = 'Wenn du jemals M\u00fche hattest, jemandem zu erz\u00e4hlen, wie steil etwas war, dann findest du die Antwort hier. In diesem Tutorial werden wir die Steigung einer Geraden behandeln. Wir werden auch \u00fcber das Verh\u00e4tlniss der Steigung und der Gleichung einer Linie nachdenken und wie du die Steigung oder den Y-Achsenabschnitt mit ein paar Daten bestimmen kannst.\n\nBasiswissen: 8.F.B.4\n';
catalog['If you\'ve ever struggled to tell someone just how steep something is, you\'ll find the answer here.  In this tutorial, we cover the idea of the slope of a line.  We also think about how slope relates to the equation of a line and how you can determine the slope or y-intercept given some clues.\n\nThis tutorial is appropriate for someone who understands the basics of graphing equations and want to dig a bit deeper.  After this tutorial, you will be prepared to start thinking deeper about the equation of a line.'] = 'Wenn du jemals Schwierigkeiten hattest, jemandem mitzuteilen, wie steil etwas ist, wirst du hier die L\u00f6sung finden. In diesem Tutorial, betrachten wir das Konzept der Steigung von Linien. Au\u00dferdem denken wir dar\u00fcber nach, wie diese mit der Funktionsgleichung zusammenh\u00e4ngt und wie du aus gegebenen Hinweisen die Steigung oder den Y-Achsen-Abschnitt bestimmen kannst.\n\nDieses Tutorial ist dann sinnvoll, wenn du bereits die Grundlagen des mathematischen Zeichnens von Gleichungen verstanden hast und dein Wissen vertiefen willst. Nach diesem Tutorial wirst du bereit sein, mehr \u00fcber die Funktionsgleichungen von Linien zu lernen.';
catalog['If you\'ve forgotten your password, you can <a href=\'%(auth_password_reset_url)s\'>reset it here</a>.'] = 'If you\'ve forgotten your password, you can <a href=\'%(auth_password_reset_url)s\'>reset it here</a>.';
catalog['If you\'ve never been here before, check out this introductory video first. Then get coding!'] = 'Wenn du das erste Mal hier bist, schau dir erst das Einf\u00fchrungsvideo an. Dann kanns mit dem Programmieren losgehen!';
catalog['If you\u2019re taking the SAT soon, you can start preparing today with questions from real SATs. After all, we believe all students who want to go to college should be able to prepare for the SAT at their own pace, at absolutely no cost. \n\nDownload a real, full-length SAT practice test, watch Sal work through real SAT problems, and get even more practice using our interactive exercises, which feature tons of previously-unreleased problems from real SATs grouped by topic and difficulty level.\n\nIf you feel like you need to brush up on fundamentals, check out the Algebra mission, which will help you master core concepts covered on the SAT, in college, and beyond at your own pace.\n\nIf you\u2019re taking the SAT in 2016 or later, we have even more exciting news for you. The College Board just announced that they\u2019re redesigning the SAT for 2016, and we\u2019re partnering with them to make free, world-class prep materials. By spring 2015, you\u2019ll have access to state-of-the-art learning tools--exercises, software diagnostics and videos--designed by Khan Academy and College Board specifically for the redesigned SAT. Stay tuned! '] = 'If you\u2019re taking the SAT soon, you can start preparing today with questions from real SATs. After all, we believe all students who want to go to college should be able to prepare for the SAT at their own pace, at absolutely no cost. \n\nDownload a real, full-length SAT practice test, watch Sal work through real SAT problems, and get even more practice using our interactive exercises, which feature tons of previously-unreleased problems from real SATs grouped by topic and difficulty level.\n\nIf you feel like you need to brush up on fundamentals, check out the Algebra mission, which will help you master core concepts covered on the SAT, in college, and beyond at your own pace.\n\nIf you\u2019re taking the SAT in 2016 or later, we have even more exciting news for you. The College Board just announced that they\u2019re redesigning the SAT for 2016, and we\u2019re partnering with them to make free, world-class prep materials. By spring 2015, you\u2019ll have access to state-of-the-art learning tools--exercises, software diagnostics and videos--designed by Khan Academy and College Board specifically for the redesigned SAT. Stay tuned! ';
catalog['If you\u2019ve done the tutorials on Nineteenth and Twentieth Century art then you likely have an idea that by \u201cModernism,\u201d art historians are referring to a set of ideas that characterize art and culture after about 1848. Key to understanding Modern art are the ideas of a heroic \u201cavant-garde\u201d that challenges authority and the expression of the individual (one that is invariably white and male). The term \u201cPost-Modernism,\u201d was initially used in the art world in 1979 for architecture that arbitrarily borrowed historical styles with little regard for original meaning or context. The term was quickly and broadly adopted, and came to refer to a strategy to undermine Modernism\u2019s utopian and heroizing tendencies by using multiple yet simultaneous critical perspectives. Post-Modernism was not anti-Modernism, it was instead, an effort to destabilize Modernist narratives with deeply skeptical critical strategies that emphasized the plurality of gender, race, nationality, politics, and economic inequality.'] = 'If you\u2019ve done the tutorials on Nineteenth and Twentieth Century art then you likely have an idea that by \u201cModernism,\u201d art historians are referring to a set of ideas that characterize art and culture after about 1848. Key to understanding Modern art are the ideas of a heroic \u201cavant-garde\u201d that challenges authority and the expression of the individual (one that is invariably white and male). The term \u201cPost-Modernism,\u201d was initially used in the art world in 1979 for architecture that arbitrarily borrowed historical styles with little regard for original meaning or context. The term was quickly and broadly adopted, and came to refer to a strategy to undermine Modernism\u2019s utopian and heroizing tendencies by using multiple yet simultaneous critical perspectives. Post-Modernism was not anti-Modernism, it was instead, an effort to destabilize Modernist narratives with deeply skeptical critical strategies that emphasized the plurality of gender, race, nationality, politics, and economic inequality.';
catalog['If you\u2019ve ever found yourself saying \u201cHow can that be art?,\u201d then this tutorial is for you! We\u2019ve tried to answer the real questions that come up during a typical visit to a modern art museum. Learn how describing can help you slow down and better understand what a work of art is communicating. Learn how important historical context is and how meaning can change over time. This tutorial asks: Why is art important? How can a snow shovel be art? How can we find meaning in abstract art?'] = 'If you\u2019ve ever found yourself saying \u201cHow can that be art?,\u201d then this tutorial is for you! We\u2019ve tried to answer the real questions that come up during a typical visit to a modern art museum. Learn how describing can help you slow down and better understand what a work of art is communicating. Learn how important historical context is and how meaning can change over time. This tutorial asks: Why is art important? How can a snow shovel be art? How can we find meaning in abstract art?';
catalog['Ignoring the solution or the solid state molecules when calculating the equilibrium constant.'] = 'Ignoriere die L\u00f6sung oder die Feststoff-Molek\u00fcle bei der Berechnung der Gleichgewichtskonstanten.';
catalog['Iktinos and Kallikrates (Phidias directed the sculptural program), Parthenon, Athens, 447 - 432 B.C.E.<br />\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Iktinos and Kallikrates (Phidias directed the sculptural program), Parthenon, Athens, 447 - 432 B.C.E.<br />\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Il Ges\u00f9, including Triumph of the Name of Jesus ceiling fresco'] = 'Il Ges\u00f9, including Triumph of the Name of Jesus ceiling fresco';
catalog['Illinois pension obligations'] = 'Illinois pension obligations';
catalog['Image of a subset under a transformation'] = 'Image of a subset under a transformation';
catalog['Imaginary Roots of Negative Numbers'] = 'Imagin\u00e4re Wurzeln von negativen Zahlen';
catalog['Imaginary and complex numbers'] = 'Imagin\u00e4re und komplexe Zahlen';
catalog['Imaginary roots of negative numbers'] = 'Imagin\u00e4ren Wurzeln von negativen Zahlen';
catalog['Imaginary unit powers'] = 'Imaginary unit powers';
catalog['Immunology'] = 'Immunologie';
catalog['Impact velocity from given height'] = 'Impact velocity from given height';
catalog['Impacts and linear momentum'] = 'Impacts and linear momentum';
catalog['Imperialism'] = 'Imperialismus';
catalog['Implicit derivative of (x-y)^2 = x + y - 1'] = 'Implizite Ableitung von (x-y)^2 = x + y - 1';
catalog['Implicit derivative of (x^2+y^2)^3 = 5x^2y^2'] = 'Implizite Ableitung von (x^2+y^2)^3 = 5x^2y^2';
catalog['Implicit derivative of e^(xy^2) = x - y'] = 'Implizite Ableitung von e^(xy^2) = x - y';
catalog['Implicit derivative of y = cos(5x - 3y)'] = 'Implizite Ableitung von y = cos(5x - 3y)';
catalog['Implicit differentiation'] = 'Implizite Differentiation';
catalog['Implied volatility'] = 'Implied volatility';
catalog['Impressionism is both a style, and the name of a group of artists who did something radical\u2014in 1874 they banded together and held their own independent exhibition. These artists described, in fleeting sensations of light, the new leisure pastimes of the city and its suburbs It\u2019s hard to imagine, but at this time in France, the only place of consequence that artists could exhibit their work was the official government-sanctioned exhibitions (called salons), held just once a year, and controlled by a conservative jury. The Impressionists painted modern Paris and landscapes with a loose open brushstrokes, bright colors, and unconventional compositions\u2014none of which was appreciated by the salon jury!'] = 'Impressionism is both a style, and the name of a group of artists who did something radical\u2014in 1874 they banded together and held their own independent exhibition. These artists described, in fleeting sensations of light, the new leisure pastimes of the city and its suburbs It\u2019s hard to imagine, but at this time in France, the only place of consequence that artists could exhibit their work was the official government-sanctioned exhibitions (called salons), held just once a year, and controlled by a conservative jury. The Impressionists painted modern Paris and landscapes with a loose open brushstrokes, bright colors, and unconventional compositions\u2014none of which was appreciated by the salon jury!';
catalog['Impressionism'] = 'Impressionismus';
catalog['Improper integral with two infinite bounds'] = 'Unechtes Integral mit zwei unendlichen Grenzen';
catalog['Improper integrals'] = 'Unechte integrale';
catalog['Imran is 18.  Diya is 2. How many years will it take for Imran to be 3 times as old as Diya?'] = 'Imran ist 18. Diya ist 2. In wievielen Jahren ist Imran 3 Mal \u00e4lter as Diya?';
catalog['In 1517 a German theologian and monk, Martin Luther, challenged the authority of the Pope and sparked the Protestant Reformation. His ideas spread quickly, thanks in part to the printing press. By challenging the power of the Church, and asserting the authority of individual conscience (it was increasingly possible for people to read the bible in the language that they spoke), the Reformation laid the foundation for the value that modern culture places on the individual.'] = 'In 1517 a German theologian and monk, Martin Luther, challenged the authority of the Pope and sparked the Protestant Reformation. His ideas spread quickly, thanks in part to the printing press. By challenging the power of the Church, and asserting the authority of individual conscience (it was increasingly possible for people to read the bible in the language that they spoke), the Reformation laid the foundation for the value that modern culture places on the individual.';
catalog['In 1848, a small group of young artists banded together and formed \u201cThe Pre-Raphaelite Brotherhood,\u201d a name which sounds intentionally backward-looking and medieval. The Pre-Raphaelites looked back to art before the time of Raphael (before about 1500 that is)\u2014before the art of the Renaissance was reduced to formulas followed for centuries by artists associated with the art academies of Europe. Their idea was that the art before Raphael was more sincere, more true to nature and how we see, and therefore less formulaic. These artists also embraced a wide range of subjects, including modern life, biblical and literary subjects, and even history. By looking backwards, the Pre-Raphaelites led British art into the modern era.'] = 'In 1848, a small group of young artists banded together and formed \u201cThe Pre-Raphaelite Brotherhood,\u201d a name which sounds intentionally backward-looking and medieval. The Pre-Raphaelites looked back to art before the time of Raphael (before about 1500 that is)\u2014before the art of the Renaissance was reduced to formulas followed for centuries by artists associated with the art academies of Europe. Their idea was that the art before Raphael was more sincere, more true to nature and how we see, and therefore less formulaic. These artists also embraced a wide range of subjects, including modern life, biblical and literary subjects, and even history. By looking backwards, the Pre-Raphaelites led British art into the modern era.';
catalog['In 1920 Paul Strand and artist Charles Sheeler collaborated on Manhatta, a short silent film that presents a day in the life of lower Manhattan. Inspired by Walt Whitman&#39;s book Leaves of Grass, the film includes multiple segments that express the character of New York. The sequences display a similar approach to the still photography of both artists. Attracted by the cityscape and its visual design, Strand and Sheeler favored extreme camera angles to capture New York&#39;s dynamic qualities. Although influenced by Romanticism in its view of the urban environment, Manhatta is considered the first American avant-garde film.&nbsp;<br />\nLove art? <a href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'In 1920 Paul Strand and artist Charles Sheeler collaborated on Manhatta, a short silent film that presents a day in the life of lower Manhattan. Inspired by Walt Whitman&#39;s book Leaves of Grass, the film includes multiple segments that express the character of New York. The sequences display a similar approach to the still photography of both artists. Attracted by the cityscape and its visual design, Strand and Sheeler favored extreme camera angles to capture New York&#39;s dynamic qualities. Although influenced by Romanticism in its view of the urban environment, Manhatta is considered the first American avant-garde film.&nbsp;<br />\nLove art? <a href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['In 1967, Camilo Vergara recorded a dilapidated building in South Bend, Indiana. Vergara believes that the changing nature of buildings can reveal the social history of poor American neighborhoods. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>'] = 'In 1967, Camilo Vergara recorded a dilapidated building in South Bend, Indiana. Vergara believes that the changing nature of buildings can reveal the social history of poor American neighborhoods. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>';
catalog['In 2008, artist Jim Dine created the first contemporary art project at the Getty Villa. The work presents new sculpture and poetry by Dine inspired by ancient objects in the Museum\'s collection. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'In 2008, artist Jim Dine created the first contemporary art project at the Getty Villa. The work presents new sculpture and poetry by Dine inspired by ancient objects in the Museum\'s collection. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['In 2008, the entire financial system was at a potential breaking point because of a popping housing bubble.  This tutorial breaks down how the government attempted to address this (historical note: Sal made these videos as the crisis was unfolding).'] = 'Im Jahr 2008 brachte eine platzende Immobilienblase das gesamte Finanzsystem an den Rand des Zusammenbruchs. Diese \u00dcbung zeigt auf, wie die Regierung auf die Ereignisse reagierte (Sal erstellte diese Videos, w\u00e4hrend sich die Krise entfaltete).';
catalog['In 2nd grade, you learned to measure lengths.  Now we can measure the length around the edge of an object (perimeter) and how much "space" something takes up on a flat surface (area).'] = 'In der zweiten Klasse hast du gelernt, L\u00e4ngen zu messen. Jetzt k\u00f6nnen wir die L\u00e4nge um die Kante eines Objekts messen (Umfang) und wie viel "Platz" etwas auf einer ebenen Oberfl\u00e4che einnimmt (Fl\u00e4che).';
catalog['In 3rd grade, you got a basic conceptual understanding of what a fraction is.  Now we dig deeper by comparing fractions and starting to perform operations on them.  We also see how they relate to decimals.'] = 'In der 3. Klasse hast du ein Grundverst\u00e4ndnis davon bekommen, was ein Bruch ist. Nun gehen wir etwas tiefer, indem wir Br\u00fcche vergleichen und anfangen, Operationen mit ihnen auszuf\u00fchren. Wir sehen auch, welche Beziehung sie zu Dezimalzahlen haben.';
catalog['In 3rd grade, you learned that there is an easier way to write "5+5+5".  You saw that 5+5+5=3x5.\n\nBut is there an easier way to write repeated multiplication (like "5x5x5")?  Absolutely!  That\'s exactly what exponents are for!\n\nCommon Core Standard: 6.EE.A.1\t'] = 'In der 3. Klasse  lernst du, dass es einen einfacheren Weg gibt "5 + 5 + 5" zu schreiben.  Du hast gesehen, dass 5+5+5=3x5.\n\nAber gibt es einen einfacheren Weg, wiederholte Multiplikation (wie "5 x 5 x 5") zu schreiben?  Absolut!  Das ist genau das, wozu es Exponenten gibt! \n\nCommon Core Standard: 6.EE.A.1\t';
catalog['In 40 years, Imran will be 11 times as old as he is right now.  How old is he right now?'] = 'In 40 Jahren wird Imran 11 mal so alt sein, wie er jetzt ist.  Wie alt ist er jetzt?';
catalog['In 72 years, Sal will be 3 times as old as he is today (although he might not be... um... capable of doing much).  How old is Sal today?  The sum of 5 consecutive integers is 15; what are the integers?\n\nThese classic questions have plagued philosophers through the ages.  Actually, they haven\'t.  But they have plagued algebra students!  Even though few people ask questions like this in the real-world, these are strangely enjoyable problems.'] = 'In 72 Jahren wird Sal 3 mal so alt sein, wie er heute ist (obwohl er wohl nicht mehr... \u00e4hm... viel tun wir k\u00f6nnen). Wie alt ist Sal heute? Die Summe von 5 aufeinander folgenden Zahlen ist 15; wie lauten die Zahlen? \n\nDiese klassischen Fragen haben Philosophen \u00fcber Jahrhunderte hinweg geplagt. Eigentlich haben sie das nicht. Aber sie haben Algebra-StudentInnen damit geplagt! Obwohl nur wenige Menschen in der echten Welt solche Fragen stellen, sind Probleme, die man genie\u00dfen kann.';
catalog['In 72 years, Sal will be 3 times as old as he is today (although he might not be... um... capable of doing much).  How old is Sal today?\n\nThese classic questions have plagued philosophers through the ages.  Actually, they haven\'t.  But they have plagued algebra students!  Even though few people ask questions like this in the real-world, these are strangely enjoyable problems.'] = 'In 72 Jahren wird Sal 3 mal so alt sein, wie er heute ist (obwohl er wohl nicht mehr... \u00e4hm... viel tun kann). Wie alt ist Sal heute?\n\nDiese klassischen Fragen haben Philosophen \u00fcber Jahrhunderte hinweg geplagt. Eigentlich haben sie das nicht. Aber sie haben Algebrastudenten geplagt! Obwohl nur wenige Menschen in der echten Welt solche Fragen stellen, sind das seltsamerweise angenehme Probleme.';
catalog['In AD122 Hadrian ordered a mighty frontier system to be built across the north of Britain. The result was Hadrian\'s Wall, a 73 mile barrier stretching from the Solway Firth on the west coast of Britain to the River Tyne on the east coast.<br>'] = 'In AD122 Hadrian ordered a mighty frontier system to be built across the north of Britain. The result was Hadrian\'s Wall, a 73 mile barrier stretching from the Solway Firth on the west coast of Britain to the River Tyne on the east coast.<br>';
catalog['In France, the LeNain Brothers painted scenes of every-day life (genre paintings), often depicting peasants. There was a renewal of interest in their art in the mid-Nineteenth Century, when the art critic, Champfluery wrote that the brothers \u201cconsidered men in tatters more interesting than courtiers in embroidered garments.\u201d At the same time, Poussin created a very different style\u2014one that was highly intellectual and looked back to Renaissance, and ancient Greek and Roman art.'] = 'In France, the LeNain Brothers painted scenes of every-day life (genre paintings), often depicting peasants. There was a renewal of interest in their art in the mid-Nineteenth Century, when the art critic, Champfluery wrote that the brothers \u201cconsidered men in tatters more interesting than courtiers in embroidered garments.\u201d At the same time, Poussin created a very different style\u2014one that was highly intellectual and looked back to Renaissance, and ancient Greek and Roman art.';
catalog['In Progress'] = 'In Progress';
catalog['In Sal Khan\'s vision of the school of the future, the traditional classroom, school day, and even school year don\'t look like anything like our current system.'] = 'In Sal Khans Vision f\u00fcr die Schule der Zukunft, sehen weder das herk\u00f6mmliche Klassenzimmer, noch der traditionelle Schultag und nicht einmal das Schuljahr im entferntesten so aus wie unser aktuelles System.';
catalog['In Section 3, let\'s switch gears and focus on Reading questions, starting on pg. 48 of the downloadable SAT.\nWant even more reading practice? Check out the SAT Reading and Writing practice topic.\n'] = 'In Section 3, let\'s switch gears and focus on Reading questions, starting on pg. 48 of the downloadable SAT.\nWant even more reading practice? Check out the SAT Reading and Writing practice topic.\n';
catalog['In a series of drawings made around 1595, Federico Zuccaro tells the story of his brother Taddeo\'s hardships and triumph as a young, struggling artist in Renaissance Rome. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'In a series of drawings made around 1595, Federico Zuccaro tells the story of his brother Taddeo\'s hardships and triumph as a young, struggling artist in Renaissance Rome. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['In a world full of unbalanced forces (which you learn more about when you study Newton\'s laws), you will have acceleration (which is the rate in change of velocity).  Whether you\'re thinking about how fast a Porsche can get to 60mph or how long it takes for a passenger plane to get to the necessary speed for flight, this tutorial will help.'] = 'In a world full of unbalanced forces (which you learn more about when you study Newton\'s laws), you will have acceleration (which is the rate in change of velocity).  Whether you\'re thinking about how fast a Porsche can get to 60mph or how long it takes for a passenger plane to get to the necessary speed for flight, this tutorial will help.';
catalog['In ancient Greece, the phrase "to make pottery" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'In ancient Greece, the phrase "to make pottery" meant to work hard. The typical Athenian potter prepared clay, threw vases, oversaw their firing, and added decoration, or employed vase-painters. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['In arithmetic, we learned than a number times 1 is still that number and that anything times 0 is 0.  In this tutorial, we attempt to extend these ideas to the world of matrices!'] = 'Im Rechnen haben wir gelernt, als eine Zahl x 1 immer noch dieselbe Zahl ist und, dass etwas x 0 = 0 ist.  In diesem Tutorial versuchen wir, diese Ideen auf die Welt der Matrizen zu erweitern!';
catalog['In da club - Membranes & transport'] = 'In da Club - Membranen & Transport';
catalog['In exchange for being treated as a person-like-legal entity (and the limited liability this gives for its owners), most corporations pay taxes.  This tutorial focuses on what corporations are, "double taxation" and a few ways that multinationals might try to get out of paying taxes.'] = 'Im Gegenzug f\u00fcr die Behandlung als personen-\u00e4hnliche juristische Einheit (und der beschr\u00e4kten pers\u00f6nlichen Haftung der Gesellschafter) zahlen Unternehmen Steuern. Diese \u00dcbung erl\u00e4utert, was Unternehmen sind, was unter Doppelbesteuerung zu verstehen ist und wie international agierende Unternehmen versuchen, ihre Steuerlast zu verringern.';
catalog['In her twenties and living in Paris, Lulu Guinness had a poster of Bill Brandt&#39;s famous photograph <em>Nude London</em> up on her wall. The image stayed with her, and now becomes an inspiration for her new London Tote bag. Art and Fashion meet as we follow her from Tate Britain to her studio and then to the factory to see the bag in production.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.'] = 'In her twenties and living in Paris, Lulu Guinness had a poster of Bill Brandt&#39;s famous photograph <em>Nude London</em> up on her wall. The image stayed with her, and now becomes an inspiration for her new London Tote bag. Art and Fashion meet as we follow her from Tate Britain to her studio and then to the factory to see the bag in production.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.';
catalog['In his trademark style, Sal Khan, founder of Khan Academy, walks viewers through the many ways digital technology can impact teaching and learning in a blended learning environment.'] = 'Das Markenzeichen von Sal Kahn, Gr\u00fcnder der Kahn Akademie, ist es, den Zuschauern alle Wege f\u00fcr Lehren und Lernen mit Computer und Internet aufzuzeigen, die das digitale Zeitalter uns er\u00f6ffnet hat.';
catalog['In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices.  This is what both forwards and futures allow for.  This tutorial explains how they work and what the difference is between the two.'] = 'In vielen M\u00e4rkten kann es f\u00fcr K\u00e4ufer und Verk\u00e4ufer hilfreich sein, zuk\u00fcnftige Preise festzusetzen. Dazu k\u00f6nnen Termingesch\u00e4fte verwendet werden. Diese \u00dcbung erkl\u00e4rt, wie diese Instrumente funktionieren und was der Unterschied zwischen "Forwards" und "Futures" ist.';
catalog['In many scenarios thinking only about producers\' marginal cost or consumers\' marginal benefit does not fully capture *all* of the costs or benefits from the production/use of a product.  In this tutorial, we explore these externalities (negative and positive ones) to think a bit deeper about ways to maximize total surplus not just for producers and consumers, but for society as a whole.'] = 'In many scenarios thinking only about producers\' marginal cost or consumers\' marginal benefit does not fully capture *all* of the costs or benefits from the production/use of a product.  In this tutorial, we explore these externalities (negative and positive ones) to think a bit deeper about ways to maximize total surplus not just for producers and consumers, but for society as a whole.';
catalog['In many ways, Benjamin Franklin is the "Founding Father" of the United States of America that best represent many ideals of the country.  In this series with Walter Isaacson, we go into the life and philosophy of Franklin.'] = 'In many ways, Benjamin Franklin is the "Founding Father" of the United States of America that best represent many ideals of the country.  In this series with Walter Isaacson, we go into the life and philosophy of Franklin.';
catalog['In our decimal number system, as we move places to the left, the place values increase by a factor of 10 (likewise, they decrease by a factor of 10 as we move rightward).  This idea gets direct application when we multiply or divide a decimal number by 10 because it has the effect of shifting every place value one to the right or left (sometime seen as moving the decimal point).'] = 'In unserem Dezimalzahlensystem, steigt der Wert einer Stelle um den Faktor von 10 bei einem Schritt nach links (und ebenso sinkt der er um einen Faktor von 10, wenn wir uns nach rechts bewegen). Diese Idee findet direkte Anwendung, wenn wir eine Dezimalzahl mit 10 multiplizieren oder sie durch 10 dividieren. Es ergibt sich der Effekt, dass jede Stelle einen Platz nach rechts oder links geschoben wird (was manchmal als Verschiebung des Dezimalkommas gesehen wird).';
catalog['In our study of triangles, we spent a decent amount of time think about incenters (the intersections of the angle bisectors) and circumcenters (the intersections of the perpendicular bisectors).  We\'ll now leverage this knowledge to actually construct circle inscribed and circumscribed about a triangle using only a compass and straightedge (actually virtual versions of them).'] = 'In our study of triangles, we spent a decent amount of time think about incenters (the intersections of the angle bisectors) and circumcenters (the intersections of the perpendicular bisectors).  We\'ll now leverage this knowledge to actually construct circle inscribed and circumscribed about a triangle using only a compass and straightedge (actually virtual versions of them).';
catalog['In proportional relationships, the ratio between one variable and the other is always constant.  In the context of rate problems, this constant ratio can also be considered a rate of change.  This tutorial allows you dig deeper into this idea.'] = 'Bei proportionalen Beziehungen ist das Verh\u00e4ltnis einer Variablen zu einer anderen immer konstant. Im Rahmen von Ratenaufgaben, kann dieses Verh\u00e4ltnis auch als Grad der Ver\u00e4nderung aufgefasst werden. Dieses Tutorium erlaubt es sich tiefer mit dieser idee auseinander zu setzen .';
catalog['In proportional relationships, the ratio between one variable and the other is always constant.  In the context of rate problems, this constant ratio can also be considered a rate of change.  This tutorial allows you dig deeper into this idea.\n\nCommon Core Standard: 8.EE.B.5'] = 'Bei proportionalen Beziehungen ist das Verh\u00e4ltnis zwischen zwei Variablen immer konstant. Im Rahmen von H\u00e4ufigkeitsproblemen ist dieses konstante Verh\u00e4tlnis auch die \u00c4nderungsrate. Dieses Tutorial erlaubt dir, tiefer in diese Idee einzusteigen.\n\nBasiswissen: 8.EE.B.5';
catalog['In second grade you may have raised your hand in class and asked what you get when you divide by zero.  The answer was probably "it\'s not defined."  In this tutorial we\'ll explore what that (and "indeterminate") means and why the math world has left this gap in arithmetic. (They could define something divided by 0 as 7 or 9 or 119.57 but have decided not to.)'] = 'In der zweiten Klasse hast du vielleicht die Hand gehoben in der Klasse und gefragt, was du erh\u00e4ltst, wenn du durch Null dividierst.  Die Antwort war wohl "ist nicht definiert ist."  In diesem Tutorial werden wir erforschen, was das (und "unbestimmten") bedeutet und warum die Mathe-Welt diese L\u00fccke im Rechnen gelassen hat. (Sie k\u00f6nnten etwas geteilt durch 0 als 7 oder 9 oder 119.57 definieren, haben aber beschlossen, das nicht zu tun.)';
catalog['In section 2, you\'ll zero in on math practice with a bunch of math problems from a real SAT. \nWant even more math practice? Check out sections 6 and 8 and the SAT Math practice topic.'] = 'In section 2, you\'ll zero in on math practice with a bunch of math problems from a real SAT. \nWant even more math practice? Check out sections 6 and 8 and the SAT Math practice topic.';
catalog['In some relationships, one variable (the independent one) is thought to drive the behavior of the other one (the dependent one).  This tutorial explores this idea further.\n\nCommon Core Standards: 6.EE.C.9'] = 'In einigen Beziehungen wird eine Variable (die unabh\u00e4ngige) das Verhalten der anderen (der abh\u00e4ngigen) bestimmen.  Dieses Tutorial erforscht diese Idee weiter.\n\nCommon Core Standards: 6.EE.C.9';
catalog['In the 15th century, Flanders (which is the northern portion of Belgium today) was ruled by the Dukes of Burgundy. The enormous wealth of the court of the Dukes and the wealth of the merchant class (in the thriving cities of Bruges and Tournai) made for a new interest in art that mimicked the material world, though in a way that was quite different from what was happening concurrently in Florence. Oil paint comes into its own in the work of Jan van Eyck and Rogier van der Weyden, and we see how the artists of the North used it to create stunning illusions of fur, wood, wool, glass, and jewels.'] = 'In the 15th century, Flanders (which is the northern portion of Belgium today) was ruled by the Dukes of Burgundy. The enormous wealth of the court of the Dukes and the wealth of the merchant class (in the thriving cities of Bruges and Tournai) made for a new interest in art that mimicked the material world, though in a way that was quite different from what was happening concurrently in Florence. Oil paint comes into its own in the work of Jan van Eyck and Rogier van der Weyden, and we see how the artists of the North used it to create stunning illusions of fur, wood, wool, glass, and jewels.';
catalog['In the 2nd grade you learned to add and subtract 2-digit numbers.  Now we take things further by adding and subtracting three-digit numbers.  This is good practice for 4th grade where you\'ll be expected to add or subtract pretty much any whole number!'] = 'In der zweiten Klasse hast du gelernt zweistellige Zahlen zu addieren und subtrahieren. Jetzt werden wir die Sache weiterf\u00fchren indem wir dreistellige Zahlen addieren und subtrahieren. Dieses Projekt ist eine gute \u00dcbung f\u00fcr die vierte Klasse wo von dir erwartet wird so ziemlich jede ganze Zahl zu addieren oder subtrahieren!';
catalog['In the 3rd grade, you learned to subtract multi-digit numbers.  This includes subtraction through regrouping (sometimes known as "borrowing").  This tutorial will give you practice doing this with even larger numbers.  Have fun!\n\nCommon Core Standard: 4.NBT.B.4\t'] = 'In der 3. Klasse hast du gelernt, mehrstellige Zahlen zu subtrahieren. Dazu geh\u00f6rt auch die Subtraktion durch Umgruppierung (manchmal auch als "eine Anleihe machen" bekannt). Dieses Tutorial gibt dir \u00dcbung darin, das mit noch gr\u00f6\u00dferen Zahlen zu machen. Viel Spa\u00df!\n\nCommon Core Standard: 4.NBT.B.4\t';
catalog['In the Protestant Dutch Republic of the 17th century there was an enormous demand for art from a wide cross-section of the public. This was a very good thing, since the institution that had been the main patron for art\u2014the Church\u2014was no longer in the business of commissioning art due to the Protestant Reformation. Dutch artists sought out new subjects of interest to their new clientele, scenes of everyday life (genre paintings), landscapes and still-lifes. There was also an enormous market for portraits. One of the greatest artist of this period, Rembrandt, made his name as a portrait painter, but was also a printmaker, and his work also includes moving interpretations of biblical subjects (though from a Protestant perspective).'] = 'In the Protestant Dutch Republic of the 17th century there was an enormous demand for art from a wide cross-section of the public. This was a very good thing, since the institution that had been the main patron for art\u2014the Church\u2014was no longer in the business of commissioning art due to the Protestant Reformation. Dutch artists sought out new subjects of interest to their new clientele, scenes of everyday life (genre paintings), landscapes and still-lifes. There was also an enormous market for portraits. One of the greatest artist of this period, Rembrandt, made his name as a portrait painter, but was also a printmaker, and his work also includes moving interpretations of biblical subjects (though from a Protestant perspective).';
catalog['In the fall of 2008, it became clear that a cascade of bank failures was happening because of shoddy loans and exotic securities (both which fueled a now popping housing bubble).  In an attempt to avoid a depression, the Treasury Secretary (Hank Paulson) wanted to pour $1 Trillion into the same banks that had created the mess.\n\nThis tutorial walks us through the beginnings of the mess and possible solutions.  Historical note: it was created as the crisis was unfolding.'] = 'Im Herbst 2008 wurde klar, dass die Welle von Bankinsolvenzen durch \u00e4u\u00dferst fragw\u00fcrdige Kreditvergaben und -sicherheiten ausgel\u00f6st wurde (welche wiederum zur platzenden Immobilienblase f\u00fchrten). Um eine gr\u00f6\u00dfere Wirtschatfskrise zu vermeidet, wollte der Finanzminister Hank Paulson dieselben Banken, welche die Krise verursacht hatten, 1 Billion Dollar Unterst\u00fctzung zur Verf\u00fcgung stellen. \nDiese \u00dcbung f\u00fchrt uns durch die Ereignisse zu Beginn der Krise und zeigt m\u00f6gliche L\u00f6sungswege auf. Die \u00dcbung wurde in den Anf\u00e4ngen der Finanzkrise erstellt. ';
catalog['In the heart of Seoul there are several historic palaces that were the residences of Korea&#39;s royal family from the 1400&#39;s to the mid-1900&#39;s. This documentary explores the art and architecture of these royal palaces of Seoul.'] = 'In the heart of Seoul there are several historic palaces that were the residences of Korea&#39;s royal family from the 1400&#39;s to the mid-1900&#39;s. This documentary explores the art and architecture of these royal palaces of Seoul.';
catalog['In the last 500 years, our world has undergone a transformation. Connecting the four world zones fostered astounding innovation and pushed our species into the modern era.\n'] = 'In the last 500 years, our world has undergone a transformation. Connecting the four world zones fostered astounding innovation and pushed our species into the modern era.\n';
catalog['In the last tutorial on matrix inverses, we first defined what a determinant is and gave several examples of computing them.  In this tutorial we go deeper.  We will explore what happens to the determinant under several circumstances and conceptualize it in several ways.'] = 'In the last tutorial on matrix inverses, we first defined what a determinant is and gave several examples of computing them.  In this tutorial we go deeper.  We will explore what happens to the determinant under several circumstances and conceptualize it in several ways.';
catalog['In the last tutorial, we claimed that the aggregate demand and aggregate supply model (AD-AS) would be useful for analyzing macroeconomic events.  Well, in this tutorial, we\'ll do exactly that.'] = 'In the last tutorial, we claimed that the aggregate demand and aggregate supply model (AD-AS) would be useful for analyzing macroeconomic events.  Well, in this tutorial, we\'ll do exactly that.';
catalog['In the mid-Nineteenth Century, great art was still defined as art that took it\u2019s subjects from religion, history or mythology and its style from ancient Greece and Rome. Hardly what we would consider modern and appropriate for an industrial, commercial, urban culture! Courbet agreed, and so did his friend, the writer Charles Baudelaire who called for an art that would depict, as he called it, the beauty of modern life. Courbet painted the reality of life in the countryside\u2014not the idealized peasants that were the usual fare at the exhibits in Paris. The revolution of 1848, in which both the working class and the middle class played a significant role, set the stage for Realism. Later, Manet and then Degas painted modern life in Paris, a city which was undergoing rapid modernization in the period after 1855 (the Second Empire).'] = 'In the mid-Nineteenth Century, great art was still defined as art that took it\u2019s subjects from religion, history or mythology and its style from ancient Greece and Rome. Hardly what we would consider modern and appropriate for an industrial, commercial, urban culture! Courbet agreed, and so did his friend, the writer Charles Baudelaire who called for an art that would depict, as he called it, the beauty of modern life. Courbet painted the reality of life in the countryside\u2014not the idealized peasants that were the usual fare at the exhibits in Paris. The revolution of 1848, in which both the working class and the middle class played a significant role, set the stage for Realism. Later, Manet and then Degas painted modern life in Paris, a city which was undergoing rapid modernization in the period after 1855 (the Second Empire).';
catalog['In these tutorials, you\'ll get the chance to practice solving tons of real, previously-unreleased SAT Math problems provided by College Board.\n\nThe exercises are split by difficulty level on the SAT and accompanied by short videos showing one way to solve each problem. \n\nOnward!'] = 'In these tutorials, you\'ll get the chance to practice solving tons of real, previously-unreleased SAT Math problems provided by College Board.\n\nThe exercises are split by difficulty level on the SAT and accompanied by short videos showing one way to solve each problem. \n\nOnward!';
catalog['In these tutorials, you\'ll get the chance to practice with tons of real, previously-unreleased SAT Reading and Writing problems provided by College Board.\n\nYou\'ll find exercises on three of the SAT Reading and Writing question types: sentence completion, identifying sentence errors, and improving sentences.\n\nOnward!'] = 'In these tutorials, you\'ll get the chance to practice with tons of real, previously-unreleased SAT Reading and Writing problems provided by College Board.\n\nYou\'ll find exercises on three of the SAT Reading and Writing question types: sentence completion, identifying sentence errors, and improving sentences.\n\nOnward!';
catalog['In these tutorials, you\'ll learn how to use the JavaScript language and the ProcessingJS library to create fun drawings and animations. If you\'ve never programmed before, start here to learn how!'] = 'In these tutorials, you\'ll learn how to use the JavaScript language and the ProcessingJS library to create fun drawings and animations. If you\'ve never programmed before, start here to learn how!';
catalog['In this equations, all of the fat is fully mixed in so it doesn\'t collect at the top.  No (that would be homogenized equations).\n\nActually, the term "homogeneous" is way overused in differential equations.  In this tutorial, we\'ll look at equations of the form y\'=(F(y/x)).'] = 'In diesen Gleichungen, ist das ganze Fett vollst\u00e4ndig vermischt, so dass es sich nicht oben sammelt.  Keine (das w\u00e4ren homogenisierte Gleichungen).\n\nIn der Tat ist der Begriff "homogen" in Differentialgleichungen \u00fcberstrapaziert.  In diesem Lernprogramm betrachten wir Gleichungen von der Form y\'=(F(y/x)).';
catalog['In this film George The Poet chooses Paul Graham&#39;s photograph of a woman, sitting lonely on a New York sidewalk, as the subject for an original spoken word performance.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.'] = 'In this film George The Poet chooses Paul Graham&#39;s photograph of a woman, sitting lonely on a New York sidewalk, as the subject for an original spoken word performance.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.';
catalog['In this topic, we\'ll analyze, graph and solve quadratic equations.'] = 'Bei diesem Thema werden wir Graphen quadratischer Gleichungen analysieren, erstellen und l\u00f6sen.';
catalog['In this topic, we\'ll gain a deeper appreciation for the periodic nature of trig functions by visualizing and modeling real-world phenomena with them.'] = 'In this topic, we\'ll gain a deeper appreciation for the periodic nature of trig functions by visualizing and modeling real-world phenomena with them.';
catalog['In this tutorial Walter Isaacson walks Sal through the United States Declaration of Independence.  In doing so, they discuss the philosophical underpinnings of the American Revolution and the United States in general.\n\nWalter Isaacson is the President and CEO of the Aspen Institute.  He is the former CEO and Chairman of CNN and Managing Editor of Time Magazine.  He has written best-selling biographies of Steve Jobs, Benjamin Franklin, Albert Einstein and Henry Kissinger.\n'] = 'In this tutorial Walter Isaacson walks Sal through the United States Declaration of Independence.  In doing so, they discuss the philosophical underpinnings of the American Revolution and the United States in general.\n\nWalter Isaacson is the President and CEO of the Aspen Institute.  He is the former CEO and Chairman of CNN and Managing Editor of Time Magazine.  He has written best-selling biographies of Steve Jobs, Benjamin Franklin, Albert Einstein and Henry Kissinger.\n';
catalog['In this tutorial we begin to explore ideas of velocity and acceleration.  We do exciting things like throw things off of cliffs (far safer on paper than in real life) and see how high a ball will fly in the air.'] = 'Heute besch\u00e4ftigen wir uns mit der Geschwindigkeit und der Beschleunigung. Wir machen spannende Dinge wie das Werfen von Sachen von Klippen(sicherer dank Papier) und wie hoch B\u00e4lle in der Luft fliegen k\u00f6nnen.';
catalog['In this tutorial we look at the utility of getting one more of something and put numbers to it.  We then use this to construct a budget line and think about indifference curves.'] = 'In this tutorial we look at the utility of getting one more of something and put numbers to it.  We then use this to construct a budget line and think about indifference curves.';
catalog['In this tutorial we will design a model for a blade of grass and use it to create an entire field!'] = 'In this tutorial we will design a model for a blade of grass and use it to create an entire field!';
catalog['In this tutorial we will see how trade and assets (including money) changing hands are fundamentally intertwined.  Not only that, but we will see how this can be accounted for through the capital account (assets changing hands) and current account (trade).'] = 'In this tutorial we will see how trade and assets (including money) changing hands are fundamentally intertwined.  Not only that, but we will see how this can be accounted for through the capital account (assets changing hands) and current account (trade).';
catalog['In this tutorial we\'ll look at the most famous types of angle-pairs--complementary and supplementary angles.  This aren\'t particularly deep concepts, but you\'ll find they do come in handy!'] = 'In diesem Tutorial schaust du dir die ber\u00fchmtesten Tpen von Winkelpaaren an - Komplement\u00e4r- und Erg\u00e4nzungswinkel. Das sind keine wirklich tiefgr\u00fcndigen Ideen. Aber du wirst merken, dass sie ganz praktisch sein k\u00f6nnen!';
catalog['In this tutorial we\'ll really dissect numbers to think about what they represent.\n\nCommon Core Standards: 4.NBT.A.1\t, 4.NBT.A.2\t'] = 'In diesem Tutorial werden wir wirklich Zahlen auseinandernehmen, um dar\u00fcber nachzudenken, was sie darstellen.\n\nCommon Core Standards: 4.NBT.A.1\t, 4.NBT.A.2\t';
catalog['In this tutorial we\'ll see how to graph linear inequalities on the coordinate plane. We\'ll also learn how to determine if a particular point is a solution of an inequality.'] = 'In dieser Anleitung werden wir sehen, wie man lineare Ungleichungen im Koordinatensystem darstellt. Wir werden ebenfalls lernen zu bestimmen, ob ein bestimmter Punkt eine L\u00f6sung einer Ungleichung ist.';
catalog['In this tutorial we\'ll think deeper about how one variable changes with respect to another.  Pay attention because you\'ll find that these ideas will keep popping up in your life!'] = 'In diesem Tutorial werden wir die Abh\u00e4ngigkeiten von Variablen voneinander genauer untersuchen. Passen sie gut auf, denn diese Zusammenh\u00e4nge werden Ihnen noch oft in Ihrem Leben begegnen!';
catalog['In this tutorial we\'ll think deeper about how one variable changes with respect to another. Pay attention because you\'ll find that these ideas will keep popping up in your life!\n\nCommon Core Standards: 7.RP.A.2, 7.RP.A.2a, 7.RP.A.2b, 7.RP.A.2c, 7.RP.A.2d'] = 'In diesem Tutorial werden wir weiter dar\u00fcber nachdenken, wie eine Variable sich in Bezug auf eine andere ver\u00e4ndert. Pass gut auf, weil du feststellen wirst, dass diese Ideen in deinem Leben immer wieder auftauchen wird! \n\nCommon Core Standards: 7.RP.A. 2, 7.RP.A.2a, 7.RP.A.2b, 7.RP.A.2c, 7.RP.A. 2d';
catalog['In this tutorial you\'ll discover that much of the logic you\'ve used to solve equations can also be applied to think about inequalities!'] = 'In diesem Tutorial wirst du entdecken, dass viele der Methoden die du benutzt hast um Gleichungen zu l\u00f6sen auch f\u00fcr Ungleichungen benutzt werden k\u00f6nnen!';
catalog['In this tutorial you\'ll learn that multiplying things like (4x-7)(-9x+5) just require the distributive property that you learned in elementary school.  We\'ll touch on the FOIL method because it seems to be covered in a lot of schools, but we don\'t like it (we don\'t think it is good to memorize processes without knowing the why).  '] = 'In diesem Tutorial wirst lernen, dass das Multiplizieren von Termen wie (4x-7)(-9x+5) lediglich das Distributivgesetz ben\u00f6tigt, das du bereits in der Unterstufe gelernt hast. Wir werden die FOIL-Methode ansprechen, da sie anscheinend in vielen (englischsprachigen) Schulen behandelt wird, allerdings m\u00f6gen wir diese nicht (Wir empfinden es als nicht gut sich einen Ablauf zu merken ohne zu wissen wieso).  ';
catalog['In this tutorial, Jay assigns oxidation states to alcohols, shows an oxidation mechanism using the Jones reagent, shows the formation of nitrate esters from alcohols, and demonstrates how to make alkyl halides from alcohols.  Biochemical redox reactions are also discussed.'] = 'In this tutorial, Jay assigns oxidation states to alcohols, shows an oxidation mechanism using the Jones reagent, shows the formation of nitrate esters from alcohols, and demonstrates how to make alkyl halides from alcohols.  Biochemical redox reactions are also discussed.';
catalog['In this tutorial, Jay covers a few more reactions of benzene derivatives and also shows how to approach the synthesis of substituted benzene rings.'] = 'In this tutorial, Jay covers a few more reactions of benzene derivatives and also shows how to approach the synthesis of substituted benzene rings.';
catalog['In this tutorial, Jay covers the E1 elimination mechanism, carbocation rearrangements, and the details of the E2 elimination reaction.'] = 'In this tutorial, Jay covers the E1 elimination mechanism, carbocation rearrangements, and the details of the E2 elimination reaction.';
catalog['In this tutorial, Jay covers the definitions of nucleophile/electrophile, The Schwartz Rules (may the Schwartz be with you!), and the differences between SN1 and SN2 reactions.'] = 'In this tutorial, Jay covers the definitions of nucleophile/electrophile, The Schwartz Rules (may the Schwartz be with you!), and the differences between SN1 and SN2 reactions.';
catalog['In this tutorial, Jay covers the nomenclature and preparation of alkynes, the acidity of terminal alkynes, and the alkylation of alkynes.'] = 'In this tutorial, Jay covers the nomenclature and preparation of alkynes, the acidity of terminal alkynes, and the alkylation of alkynes.';
catalog['In this tutorial, Jay demonstrates how to use Dr. Schwartz\'s organic flowsheet to solve synthesis problems involving alkynes.  Always remember, pain is temporary, orgo is forever!'] = 'In this tutorial, Jay demonstrates how to use Dr. Schwartz\'s organic flowsheet to solve synthesis problems involving alkynes.  Always remember, pain is temporary, orgo is forever!';
catalog['In this tutorial, Jay discusses the strength of a nucleophile and the differences between SN1, SN2, E1, and E2 reactions.'] = 'In this tutorial, Jay discusses the strength of a nucleophile and the differences between SN1, SN2, E1, and E2 reactions.';
catalog['In this tutorial, Jay explains basic color theory and shows how conjugation determines the color of organic molecules. Basic knowledge of MO theory is assumed.'] = 'In this tutorial, Jay explains basic color theory and shows how conjugation determines the color of organic molecules. Basic knowledge of MO theory is assumed.';
catalog['In this tutorial, Jay explains the addition reactions of alkenes.'] = 'In this tutorial, Jay explains the addition reactions of alkenes.';
catalog['In this tutorial, Jay explains the concept of optical activity and demonstrates how to calculate specific rotation and enantiomeric excess.'] = 'In this tutorial, Jay explains the concept of optical activity and demonstrates how to calculate specific rotation and enantiomeric excess.';
catalog['In this tutorial, Jay goes over sp3, sp2, and sp hybridization.'] = 'In diesem Tutorial bespricht Jay die sp3-, sp2- und sp-Hybridisierung.';
catalog['In this tutorial, Jay introduces molecular orbital (MO) theory and shows how MO theory explains the experimental observations of the Diels-Alder reaction.'] = 'In diesem Tutorial stellt Jay Molek\u00fclorbitaltheorie (MO) und zeigt, wie die MO-Theorie die experimentellen Beobachtungen der Diels-Alder-Reaktion erkl\u00e4rt.';
catalog['In this tutorial, Jay names alkenes, discusses the stability of alkenes, and introduces the E/Z system.'] = 'In diesem Tutorial benennt Jay Alkene, erl\u00e4utert die Stabilit\u00e4t von Alkenen und stellt das E/Z-System vor.';
catalog['In this tutorial, Jay puts the "fun" back into recognizing functional groups.'] = 'In this tutorial, Jay puts the "fun" back into recognizing functional groups.';
catalog['In this tutorial, Jay reminds you how to draw the dot structures of simple organic molecules.'] = 'In this tutorial, Jay reminds you how to draw the dot structures of simple organic molecules.';
catalog['In this tutorial, Jay shows how to draw a fischer projection and how to assign an absolute configuration to a chirality center in a fischer projection.'] = 'In this tutorial, Jay shows how to draw a fischer projection and how to assign an absolute configuration to a chirality center in a fischer projection.';
catalog['In this tutorial, Jay shows how to prepare sulfides from thiols.'] = 'In this tutorial, Jay shows how to prepare sulfides from thiols.';
catalog['In this tutorial, Jay shows how to synthesize alcohols using sodium borohydride, lithium aluminum hydride, and grignard reagents.'] = 'In diesem Tutorial veranschaulicht Jay die Synthese von Alkoholen mit Natriumborhydrid, Lithiumaluminiumhydrid und Grignard-Reagenzien.';
catalog['In this tutorial, Jay shows how to synthesize ethers using the Williamson ether synthesis and how to cleave an ether linkage using acid.'] = 'In diesem Tutorial zeigt Jay wie Ether mit die Williamson Ether-Synthese synthetisiert werden und S\u00e4uren Ether-Bindungen spalten.';
catalog['In this tutorial, Jay shows several electrophilic aromatic substitution reactions.'] = 'In this tutorial, Jay shows several electrophilic aromatic substitution reactions.';
catalog['In this tutorial, Jay shows the addition-elimination mechanism and the elimination-addition mechanism.'] = 'In this tutorial, Jay shows the addition-elimination mechanism and the elimination-addition mechanism.';
catalog['In this tutorial, Jay shows the different conformations of straight chain alkanes and cyclohexane.'] = 'In diesem Tutorial zeigt Jay die verschiedenen Konformationen von geradkettigen Alkane und Cyclohexan.';
catalog['In this tutorial, Jay shows the mechanism, stereochemistry, and regiochemistry for the classic Diels-Alder reaction.'] = 'In diesem Lernprogramm zeigt Jay Mechanismus, Stereochemie und Regioselektivit\u00e4t f\u00fcr die klassische Diels-Alder-Reaktion.';
catalog['In this tutorial, Jay shows the possible products for an addition to a conjugated diene and how the end product can be controlled by changing the reaction conditions.'] = 'In this tutorial, Jay shows the possible products for an addition to a conjugated diene and how the end product can be controlled by changing the reaction conditions.';
catalog['In this tutorial, Jay shows the reactions of alkynes.'] = 'In diesem Tutorial zeigt Jay die Reaktionen der Alkine.';
catalog['In this tutorial, Jay shows you the directing effects of substituents on a benzene ring. Knowledge of Electrophilic Aromatic Substitution reactions is assumed.   '] = 'In this tutorial, Jay shows you the directing effects of substituents on a benzene ring. Knowledge of Electrophilic Aromatic Substitution reactions is assumed.   ';
catalog['In this tutorial, Sal analyzes the differences between SN1 and SN2 reactions.'] = 'In diesem Tutorial analysiert Sal die Unterschiede zwischen SN1 und SN2 Reaktionen.';
catalog['In this tutorial, Sal and Jay define stereoisomers, diastereomers, and meso compounds.'] = 'In diesem Tutorial definieren Sal und Jay Stereoisomere und Diastereomere und Meso-Verbindungen.';
catalog['In this tutorial, Sal and Jay explain the concept of aromatic stabilization and show how to determine if a compound or an ion exhibits aromaticity.  Knowledge of MO theory is assumed.'] = 'In this tutorial, Sal and Jay explain the concept of aromatic stabilization and show how to determine if a compound or an ion exhibits aromaticity.  Knowledge of MO theory is assumed.';
catalog['In this tutorial, Sal and Jay name epoxides.  Jay also shows the preparation of epoxides and includes the stereochemistry of the reaction.'] = 'In diesem Tutorial benennen Sal und Jay Epoxide.  Jay zeigt auch die Aufbereitung der Epoxide incl. der Stereochemie der Reaktion.';
catalog['In this tutorial, Sal and Jay name ethers and discuss the physical properties of ethers.'] = 'In this tutorial, Sal and Jay name ethers and discuss the physical properties of ethers.';
catalog['In this tutorial, Sal and Jay show the SN1 and SN2 ring opening reactions of epoxides.'] = 'In this tutorial, Sal and Jay show the SN1 and SN2 ring opening reactions of epoxides.';
catalog['In this tutorial, Sal draws Newman projections and also explains chair and boat conformations for cyclohexane.'] = 'In this tutorial, Sal draws Newman projections and also explains chair and boat conformations for cyclohexane.';
catalog['In this tutorial, Sal introduces free radical reactions by showing the reaction of methane with chlorine.'] = 'In this tutorial, Sal introduces free radical reactions by showing the reaction of methane with chlorine.';
catalog['In this tutorial, Sal names aldehydes and ketones.'] = 'In this tutorial, Sal names aldehydes and ketones.';
catalog['In this tutorial, Sal names alkenes and discusses the E-Z system.'] = 'In this tutorial, Sal names alkenes and discusses the E-Z system.';
catalog['In this tutorial, Sal shows how to name alkanes.'] = 'In this tutorial, Sal shows how to name alkanes.';
catalog['In this tutorial, Sal shows how to name amines.'] = 'In this tutorial, Sal shows how to name amines.';
catalog['In this tutorial, Sal shows how to name carboxylic acids.'] = 'In this tutorial, Sal shows how to name carboxylic acids.';
catalog['In this tutorial, Sal uses the example of an orange juice business to help us understand the ideas of average total cost (ATC), marginal cost (MC) and marginal revenue (MR).  We then use this understanding to answer the age-old question, "how much orange juice should I produce?"  Finally, we use these ideas to construct a long-run supply curve.  A must watch if you\'re interested in making juice!'] = 'In this tutorial, Sal uses the example of an orange juice business to help us understand the ideas of average total cost (ATC), marginal cost (MC) and marginal revenue (MR).  We then use this understanding to answer the age-old question, "how much orange juice should I produce?"  Finally, we use these ideas to construct a long-run supply curve.  A must watch if you\'re interested in making juice!';
catalog['In this tutorial, we begin thinking about the impact of real interest rates on planned investment and output.  We then use this to help us plot the IS curve.  We then think about how, assuming a fixed money supply, as there is more economic activity, people are willing to pay more for money (helps us plot the LM curve).  Finally, we use the IS-LM model to think about how fiscal policy can impact both GDP and real interest rates.\n\nYou should watch the Keynesian Cross tutorial before this one.'] = 'In this tutorial, we begin thinking about the impact of real interest rates on planned investment and output.  We then use this to help us plot the IS curve.  We then think about how, assuming a fixed money supply, as there is more economic activity, people are willing to pay more for money (helps us plot the LM curve).  Finally, we use the IS-LM model to think about how fiscal policy can impact both GDP and real interest rates.\n\nYou should watch the Keynesian Cross tutorial before this one.';
catalog['In this tutorial, we define two ways to "multiply" vectors-- the dot product and the cross product.  As we progress, we\'ll get an intuitive feel for their meaning, how they can used and how the two vector products relate to each other.'] = 'In this tutorial, we define two ways to "multiply" vectors-- the dot product and the cross product.  As we progress, we\'ll get an intuitive feel for their meaning, how they can used and how the two vector products relate to each other.';
catalog['In this tutorial, we do several examples of actually constructing transformation matrices.  Very useful if you\'ve got some actual transforming to do (especially scaling, rotating and projecting) ;)'] = 'In this tutorial, we do several examples of actually constructing transformation matrices.  Very useful if you\'ve got some actual transforming to do (especially scaling, rotating and projecting) ;)';
catalog['In this tutorial, we experience one of the most exciting ideas in statistics--the central limit theorem.  Without it, it would be a lot harder to make any inferences about population parameters given sample statistics.  It tells us that, regardless of what the population distribution looks like, the  distribution of the sample means (you\'ll learn what that is) can be normal.\n\nGood idea to understand a bit about normal distributions before diving into this tutorial.'] = 'In this tutorial, we experience one of the most exciting ideas in statistics--the central limit theorem.  Without it, it would be a lot harder to make any inferences about population parameters given sample statistics.  It tells us that, regardless of what the population distribution looks like, the  distribution of the sample means (you\'ll learn what that is) can be normal.\n\nGood idea to understand a bit about normal distributions before diving into this tutorial.';
catalog['In this tutorial, we look at multiplication and division through the lens of comparison.  For example, say that are 9 and 3 times older than your cousin.  How old would your cousin be? \n\nCommon Core Standards: 4.OA.A.1, 4.OA.A.2\t'] = 'In diesem Tutorial betrachten wir Multiplikation und Division durch die Brille des Vergleichs. Nehmen wir zum Beispiel an, dass du 9 Jahre alt bist und 3-mal so alt wie dein Cousin. Wie alt ist dein Cousin dann?\n\nCommon Core Standards: 4.OA.A.1, 4.OA.A.2\t';
catalog['In this tutorial, we look at the relationship between the definitions of sine, cosine and tangent (both SOH CAH TOA and unit circle definitions) and the Pythagorean theorem to derive and apply the Pythagorean identity.  This is the building block of much of the rest of the trigonometric identities and will be surprisingly useful the rest of your life!'] = 'In this tutorial, we look at the relationship between the definitions of sine, cosine and tangent (both SOH CAH TOA and unit circle definitions) and the Pythagorean theorem to derive and apply the Pythagorean identity.  This is the building block of much of the rest of the trigonometric identities and will be surprisingly useful the rest of your life!';
catalog['In this tutorial, we study lines that are perpendicular to the sides of a triangle and divide them in two (perpendicular bisectors).  As we\'ll prove, they intersect at a unique point called the cicumcenter (which, quite amazingly, is equidistant to the vertices).  We can then create a circle (circumcircle) centered at this point that goes through all the vertices. \n\nThis tutorial is the extension of the core narrative of the Geometry "course".  After this, you might want to look at the tutorial on angle bisectors.'] = 'In diesem Tutorial studierst du Geraden, die senkrecht auf den Seiten eines Dreiecks stehen und diese in zwei Teile teilen (Mittelsenkrechte).  Wie du auch beweisen wirst, treffen sich diese Geraden in einem eindeutigen Punkt den man Schwerpunkt nennt (welcher, erstaunlicherweise, gleich weit von jeder Ecke entfernt ist).  Du kannst dann einen Kreis (Umkreis) um diesen Punkt zeichnen, der durch alle Ecken geht.\n\nDieses Tutorial ist eine Erweiterung deiner Grundlagenkenntnisse der Geometrie.  Nach diesem Tutorial k\u00f6nntest du dir das Tutorial \u00fcber Winkelhalbierende anschauen.';
catalog['In this tutorial, we use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane.  We\'ll connect this idea to the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.\n  \nCommon Core Standard: 8.EE.B.6'] = 'In diesem Tutorial verwenden wir \u00e4hnliche Dreiecke, um zu erkl\u00e4ren, warum die Steigung m zwischen allen zwei unterschiedlichen Punkten auf einer nicht vertikalen Linie im Koordinatensystem immer gleich ist. Wir verbinden die Idee mit der Gleichung y = mx f\u00fcr eine Linie durch den Ursprung und der Gleichung y = mx + b f\u00fcr eine Line mit dem Y-Achsenabschnitt b.\n\nBasiswissen: 8.EE.B.6';
catalog['In this tutorial, we will build on our understanding of similarity to get a deeper appreciation for the motivation behind trigonometric ratios and relationships.'] = 'In diesem Tutorial werden wir an unserem Verst\u00e4ndnis f\u00fcr \u00c4hnlichkeit arbeiten, um die Motivation, die hinter trigonometrischen Verh\u00e4ltnissen und Beziehungen steckt, besser sch\u00e4tzen zu k\u00f6nnen.';
catalog['In this tutorial, we will build our ability to visualize limits by estimating them based on graphs of functions.  We will look at both one-sided and two-sided limits.'] = 'In this tutorial, we will build our ability to visualize limits by estimating them based on graphs of functions.  We will look at both one-sided and two-sided limits.';
catalog['In this tutorial, we will explore more advanced examples involving ratios and proportions.'] = 'In diesem Tutorial werden wir fortgeschrittene Beispiele zum Thema Verh\u00e4ltnisse und Anteile entdecken.';
catalog['In this tutorial, we will explore position vector functions and think about what it means to take a derivative of one.  Very valuable for thinking about what it means to take a line integral along a path in a vector field (next tutorial).'] = 'In this tutorial, we will explore position vector functions and think about what it means to take a derivative of one.  Very valuable for thinking about what it means to take a line integral along a path in a vector field (next tutorial).';
catalog['In this tutorial, we will explore the unit circle in more depth so that we can better appreciate how trig functions of an angle might relate to angles that are in some way symmetric within the unit circle.  We\'ll also look at the periodicity of the functions themselves (why they repeat after a certain change in angle).'] = 'In this tutorial, we will explore the unit circle in more depth so that we can better appreciate how trig functions of an angle might relate to angles that are in some way symmetric within the unit circle.  We\'ll also look at the periodicity of the functions themselves (why they repeat after a certain change in angle).';
catalog['In this tutorial, we will get practice looking at wackier functions that are defined interval by interval (or piece by piece)!'] = 'In diesem Tutorial bekommen wir Praxis darin, verr\u00fcckterr Funktionen anzuschauen, die Intervall f\u00fcr Intervall (oder St\u00fcck f\u00fcr St\u00fcck) definiert sind!';
catalog['In this tutorial, we will learn to approximate differentiable functions with polynomials.  Beyond just being super cool, this can be useful for approximating functions so that they are easier to calculate, differentiate or integrate.  So whether you will have to write simulations or become a bond trader (bond traders use polynomial approximation to estimate changes in bond prices given interest rate changes and vice versa), this tutorial could be fun.\n\nIf that isn\'t motivation enough, we also come up with one of the most epic and powerful conclusions in all of mathematics in this tutorial: Euler\'s identity.'] = 'In this tutorial, we will learn to approximate differentiable functions with polynomials.  Beyond just being super cool, this can be useful for approximating functions so that they are easier to calculate, differentiate or integrate.  So whether you will have to write simulations or become a bond trader (bond traders use polynomial approximation to estimate changes in bond prices given interest rate changes and vice versa), this tutorial could be fun.\n\nIf that isn\'t motivation enough, we also come up with one of the most epic and powerful conclusions in all of mathematics in this tutorial: Euler\'s identity.';
catalog['In this tutorial, we will study the behavior of polynomials and their graphs.  In particular, we\'ll look at which forms of a polynomial are best for determining various aspects of its graph.'] = 'In diesem Tutorial werden wir das Verhalten von Polynomen und ihrer Graphen pr\u00fcfen.  Insbesondere sehen wir uns an, welche Formen eines Polynoms am besten geeignet sind, um die verschiedenen Aspekte ihrer Graphen zu bestimmen.';
catalog['In this tutorial, we will try to describe situations with mathematical expressions.'] = 'In diesem Tutorial werden wir versuchen, Situationen mit mathematischen Ausdr\u00fccken zu beschreiben.';
catalog['In this tutorial, we\'ll become fraction dividing experts!  In particular, we\'ll understand what it means to divide a fraction by another fraction.  Too much fun!!!'] = 'In diesem Tutorial werden wir Experten f\u00fcr die Division von Br\u00fcchen!  Insbesondere werden wir verstehen, was es bedeutet, einen Bruch durch einen anderen Bruch zu dividieren.  Zu viel Spa\u00df!!!';
catalog['In this tutorial, we\'ll begin to think about the numbers that "make up" the number.  This will be useful throughout our study of math.  Whether we are adding fractions, exploring mystical number patterns, or breaking computer codes, factoring numbers are key!  Eye of the tiger!'] = 'Wenn du versuchst die Freunde deines Hundes (die besessen sind die Teilbarkeit einer Nummer) zu beeindrucken oder versuchst schnell eine Zahl zu fakturieren, kann es sehr n\u00fctzlich sein zu sagen, ob eine Zahl teilbar ist durch eine andere. Dieses Tutorial f\u00fchrt durch einige der Standard-Teilbarkeit Methoden und beschreibt, warum sie funktionieren.\n';
catalog['In this tutorial, we\'ll begin to think about the numbers that "make up" the number. This will be useful throughout our study of math. Whether we are adding fractions, exploring mystical number patterns, or breaking computer codes, factoring numbers are key! Eye of the tiger!\n\nCommon Core Standard: 4.OA.B.4'] = 'In diesem Tutorial fangen wir an, \u00fcber die Zahlen nachzudenken, aus denen die Zahlen "bestehen". Das wird w\u00e4hrend unserer gesamten Besch\u00e4ftigung mit Mathe von Nutzen sein. Ob wir Br\u00fcche addieren, mystische Zahlenmuster erforschen oder Computercodes brechen: Zahlen in Faktoren zu zerlegen ist der Schl\u00fcssel. Das Auge des Tigers.\n\nCommon Core Standard: 4.OA.B.4';
catalog['In this tutorial, we\'ll classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. We\'ll also learn about special triangles called "right triangles".\n\nCommon Core Standard: 4.G.A.2'] = 'In diesem Tutorial werden wir zweidimensionale Figuren danach einteilen, ob ihre Seiten parallel oder senkrecht zu einander sind oder nicht bzw. danach, ob es Winkel einer bestimmten Gr\u00f6\u00dfe gibt. Wir werden auch etwas \u00fcber bestimmte Dreicke lernen, die man "rechtwinklige Dreiecke" nennt.\n\nCommon Core Standard: 4.G.A.2';
catalog['In this tutorial, we\'ll define what a "subspace" is --essentially a subset of vectors that has some special properties.  We\'ll then think of a set of vectors that can most efficiently be use to construct a subspace which we will call a "basis".'] = 'In this tutorial, we\'ll define what a "subspace" is --essentially a subset of vectors that has some special properties.  We\'ll then think of a set of vectors that can most efficiently be use to construct a subspace which we will call a "basis".';
catalog['In this tutorial, we\'ll dive deeper into actually thinking about what functions represent and how one function compares to another.'] = 'In diesem Tutorial besch\u00e4ftigen wir uns noch genauer damit was Funktionen darstellen und wie sich eine Funktion zu einer anderen vergleichen l\u00e4sst.';
catalog['In this tutorial, we\'ll extend our division skills to include decimals!\n\nCommon Core Standard 5.NBT.B.7'] = 'In diesem Tutorial erweitern wir unsere Divisonsf\u00e4higkeiten um Dezimalzahlen!';
catalog['In this tutorial, we\'ll learn a technique for dividing one polynomial by another--synthetic division. As always, we\'ll also explore why it works!'] = 'In diesem Lernprogramm lernen wir eine Technik, um ein Polynom durch ein anderes zu dividieren --synthetische Division. Wie immer werden wir auch untersuchen, warum es funktioniert!';
catalog['In this tutorial, we\'ll look at slightly more complicated equations that just having variables on both sides.  If you can solve these, you\'re well on your way to mastering equations!\n\nCommon Core Standards: 8.EE.C.7, 8.EE.C.7b'] = 'In diesem Tutorial schauen wir uns etwas kompliziertere Gleichungen an, die Variablen auf beiden Seiten haben.  Wenn du diese l\u00f6sen kannst, bist du am richtigen Weg, um Gleichungen zu meistern! \n\nCommon Core Standards: 8.EE.C. 7, 8.EE.C.7b';
catalog['In this tutorial, we\'ll practice understanding what quantities fractions actually represent and comparing those to each other.'] = 'In diesem Tutorial trainieren wir unser Verst\u00e4ndnis, welche Mengen durch Br\u00fcche eigentlich ausgedr\u00fcckt werden und vergleichen diese Mengen.';
catalog['In this tutorial, we\'ll practice understanding what quantities fractions actually represent and comparing those to each other.\n\nCommon Core Standard 4.NF.A.2'] = 'In diesem Tutorial \u00fcben wir zu verstehen, welche Gr\u00f6\u00dfen Br\u00fcche eigentlich darstellen und vergleichen sie miteinander.\n\nCommon Core Standard 4.NF.A.2';
catalog['In this tutorial, we\'ll really digest how special triangles and angles that show up a lot in mathematics relate to each other and the various trig functions.'] = 'In this tutorial, we\'ll really digest how special triangles and angles that show up a lot in mathematics relate to each other and the various trig functions.';
catalog['In this tutorial, we\'ll really think about what the different digits represent in a decimal (and how they relate to each other).\n\nCommon Core Standards: 5.NBT.A.1\t, 5.NBT.A.3, 5.NBT.A.3a'] = 'In diesem Tutorial \u00fcberlegen wir uns was unterschiedliche Stellen in einer Dezimalzahl repr\u00e4sentieren (und wie sie sich zueinander verhalten).';
catalog['In this tutorial, we\'ll review what sequences are, associated notation and convergence/divergence of sequences.'] = 'In diesem Lernprogramm wiederholen wir, was Folgen sind, zugeordnete Schreibweisen und Konvergenz/Divergenz von Folgen.';
catalog['In this tutorial, we\'ll see that a fraction can be broken up (or decomposed) into a bunch of other fractions.  You might see the world in a completely different way after this.'] = 'In diesem Tutorial werden wir sehen, dass ein Bruch zerlegt werden kann in mehrere andere Br\u00fcche. Danach wirst du die Welt vielleicht mit anderen Augen sehen.';
catalog['In this tutorial, we\'ll see that a fraction can be broken up (or decomposed) into a bunch of other fractions. You might see the world in a completely different way after this.\n\nCommon Core Standard: 4.NF.B.3b'] = 'In diesem Tutorial werden wir sehen, dass ein Bruch in mehrere andere Br\u00fcche aufgeteilt werden kann. Du k\u00f6nntest die Welt danach auf v\u00f6llig andere Weise sehen.\n\nCommon Core Standard: 4.NF.B.3b';
catalog['In this tutorial, we\'ll see that we can often define a function in terms of itself!  This may seem circular and illogical at first, but, as we\'ll see, it is actually quite reasonable and useful!'] = 'In diesem Tutorial werden wir sehen, dass wir oft eine Funktion durch sich selbst definieren k\u00f6nnen!  Dies mag zuerst so aussehen, als w\u00fcrde man sich im Kreis drehen und unlogisch wirken, aber wie wir sehen werden, ist es eigentlich ganz vern\u00fcnftig und n\u00fctzlich!';
catalog['In this tutorial, we\'ll start adding and subtracting numbers that have two (yes, two!) digits.  We won\'t be doing any carrying or borrowing (you\'ll learn what those are shortly) so you can see that adding or subtracting two digit numbers is really just an extension of what you already know.'] = 'In diesem Tutorial werden wir das Addieren und Subtrahieren von Zahlen \u00fcben, die aus zwei (ja, zwei!) Ziffern bestehen. Wir werden keinen \u00dcbertrag benutzen (du wirst bald lernen, was das ist), und du wirst sehen, dass Addieren oder Subtrahieren von zwei Zahlen mit zwei Ziffern nur Erweiterungen von dem sind, was du schon wei\u00dft.\n';
catalog['In this tutorial, we\'ll start to challenge you with more sophisticated multiplication and division word problems. If you understand mult-digit multiplication and long division, you have all the tools you need to tackle these. May the force be with you!\n\nCommon Core Standard: 4.OA.A.3\t'] = 'In diesem Tutorial fangen wir an, dich mit anspruchsvollen Textaufgaben zur Multiplikation und Division herauszufordern. Wenn du Multiplikation mehrstelliger Zahlen und schriftliche Division kannst, dann hast du alle Werkzeuge, die du brauchst, um diese Aufgaben anzupacken. M\u00f6ge die Macht mit dir sein!\n\nCommon Core Standard: 4.OA.A.3\t';
catalog['In this tutorial, we\'ll start to challenge you with more sophisticated multiplication and division word problems.\n\nIf you understand mult-digit multiplication and long division, you have all the tools you need to tackle these.\n\nMay the force be with you!'] = 'In dieser \u00dcbung werden wir damit beginnen dich mit viel ausgefeilteren Textaufgaben zur Multiplikation und Division auf die Probe zu stellen.\n\nWenn du die Multiplikation von mehrstelligen Zahlen und die schriftliche Division verstanden hast, kannst du jede dieser Aufgaben angehen.\n\nM\u00f6ge die Macht mit dir sein!';
catalog['In this tutorial, we\'ll start to use and define functions in more "mathy" or formal ways.'] = 'In diesem Tutorial werden wir damit anfangen, Funktionen mehr "mathematisch" oder formal zu verwenden und zu definieren Funktionen.';
catalog['In this tutorial, we\'ll think about how we can find the area under a curve.  We\'ll first approximate this with rectangles (and trapezoids)--generally called Riemann sums.  We\'ll then think about find the exact area by having the number of rectangles approach infinity (they\'ll have infinitesimal widths) which we\'ll use the definite integral to denote.'] = 'In diesem Tutorial werden wir dar\u00fcber nachdenken, wie wir die Fl\u00e4che unter einer Kurve finden k\u00f6nnen.  Wir werden dies zuerst mit Rechtecken (und Trapezen)--allgemein genannt Riemann Summen -- ann\u00e4hern.  Wir werden uns dann \u00fcberlegen, wie wir die genaue Fl\u00e4che finden, indem wir die Anzahl der Rechtecke ins Unendliche erh\u00f6hen (sie m\u00fcssen unendlich schmal sein), was wir mit dem  bestimmten Integral tun werden.';
catalog['In this tutorial, we\'ll use the powers of algebra to actually prove what we\'ve always suspected to be true of rational and irrational numbers!'] = 'In dieser Anleitung werden wir die Macht der Algebra nutzen, um tats\u00e4chlich zu beweisen, was wir bei rationalen und irrationalen Zahlen schon immer f\u00fcr wahr gehalten haben!';
catalog['In this tutorial, we\'ll use what we know about equations, inequalities and systems to answer some very practical real-world problems (and a few fake, impractical ones as well just for fun).'] = 'In dieser Anleitung werden wir das, was wir \u00fcber Gleichungen, Ungleichungen und Systeme wissen, nutzen, um einige sehr praktische Probleme der realen Welt zu beantworten (und einige ausgedachte und unpraktische nur zum Spa\u00df).';
catalog['In this tutorial, we\'ll use what we know about negative numbers, absolute value, and the number line to think just a little bit deeper!'] = 'In diesem Tutorial wenden wir das an, was wir \u00fcber die Zahlengerade, negative Zahlen und absoluten Wert wissen, wir vertiefen uns nur weiter!';
catalog['In this tutorial, we\'ll work through examples that show how a line can be viewed as all of coordinates whose x and y values satisfy a linear equation.  Likewise, a linear equation can be viewed as describing a relationship between the x and y values on a line.'] = 'In diesem Tutorial arbeiten wir Beispiele durch, die zeigen, wie eine Gerade als Menge von Koordinaten verstanden werden kann, deren x- und y-Werte eine Lineare Gleichung erf\u00fcllen. Und umgekehrt kann eine Lineare Gleichung als Beschreibung der Beziehung zwischen x- und y-Werten auf einer Geraden verstanden werden.';
catalog['In this tutorial, we\'re going to significantly deepen our understanding of the world of exponents.  In particular, we\'ll look at what it means to raise something to a negative exponent and also think about various exponent properties for rewriting expressions.'] = 'In dieser Anleitung werden wir unser Verst\u00e4ndnis von der Welt der Exponenten erheblich vertiefen. Im Besonderen werden wir schauen, was es hei\u00dft, etwas mit einem negativen Exponenten zu potenzieren und werden \u00fcber verschiedene Potenzgesetze zum Umschreiben von Termen nachdenken.';
catalog['In this tutorial, you will learn about how to manipulate expressions with exponents in them.  We\'ll give lots of example to make sure you see a lot of scenarios.  For optimal learning (and fun), pause the video before Sal does an example.'] = 'In dieser Anleitung wirst du lernen, wie man mit Terme mit Exponenten umgeht. Wir werden viele Beispiele geben, damit du reichlich Szenarien kennenlernst. Um optimal lernen zu k\u00f6nnen (und Spa\u00df zu haben), pausiere ein Video bevor Sal ein Beispiel macht.';
catalog['In this tutorial, you will learn all the trigonometry that you are likely to remember in ten years (assuming you are a lazy non-curious, non-lifelong learner).  But even in that non-ideal world where you forgot everything else, you\'ll be able to do more than you might expect with the concentrated knowledge you are about to get.'] = 'In diesem Tutorial lernst Du all die Trigonometrie, an die Du dich in zehn Jahren noch immer wirst erinnern k\u00f6nnen (Nehmen wir an, Du faul und nicht neugierig und nicht ein lebenslanger Lerntyp). Aber auch in so einer nicht idealen Welt, in der Du alles andere wieder vergisst, kannst Du mit dem was DU hier gleich lernen wirst immer noch eine Menge anfangen.';
catalog['In this tutorial, you\'ll become fluent adding and subtracting decimals.\n\nCommon Core Standard: 6.NS.B.3\t'] = 'In diesem Tutorial wirst du lernen, Dezimalzahlen flie\u00dfend zu addieren und zu subtrahieren.\n\nCommon Core Standard: 6.NS.B.3\t';
catalog['In this tutorial, you\'ll find the SAT Math Practice: Level 1 exercise, featuring lots of previously-unreleased SAT math questions provided by College Board. Stuck on a problem? Check out videos where Sal solves each problem step by step. Let\'s do this!'] = 'In this tutorial, you\'ll find the SAT Math Practice: Level 1 exercise, featuring lots of previously-unreleased SAT math questions provided by College Board. Stuck on a problem? Check out videos where Sal solves each problem step by step. Let\'s do this!';
catalog['In this tutorial, you\'ll find the SAT Math Practice: Level 2 exercise, featuring lots of previously-unreleased SAT math questions provided by College Board. Stuck on a problem? Check out videos where Sal solves each problem step by step. Here we go!'] = 'In this tutorial, you\'ll find the SAT Math Practice: Level 2 exercise, featuring lots of previously-unreleased SAT math questions provided by College Board. Stuck on a problem? Check out videos where Sal solves each problem step by step. Here we go!';
catalog['In this tutorial, you\'ll find the SAT Math Practice: Level 3 exercise, featuring lots of previously-unreleased SAT math questions provided by College Board. Stuck on a problem? Check out videos where Sal solves each problem step by step. Congrats on venturing into level 3 territory. You\'ve got this!'] = 'In this tutorial, you\'ll find the SAT Math Practice: Level 3 exercise, featuring lots of previously-unreleased SAT math questions provided by College Board. Stuck on a problem? Check out videos where Sal solves each problem step by step. Congrats on venturing into level 3 territory. You\'ve got this!';
catalog['In this tutorial, you\'ll find the SAT Math Practice: Level 4 exercise, featuring lots of previously-unreleased SAT math questions provided by College Board. Stuck on a problem? Check out videos where Sal solves each problem step by step. You\'re tackling some of the harder SAT Math problems now. Rock it out!'] = 'In this tutorial, you\'ll find the SAT Math Practice: Level 4 exercise, featuring lots of previously-unreleased SAT math questions provided by College Board. Stuck on a problem? Check out videos where Sal solves each problem step by step. You\'re tackling some of the harder SAT Math problems now. Rock it out!';
catalog['In this tutorial, you\'ll find the SAT Math Practice: Level 5 exercise, featuring lots of previously-unreleased SAT math questions provided by College Board. Stuck on a problem? Check out videos where Sal solves each problem step by step. These are the hardest math problems on the SAT. Eye of the tiger!'] = 'In this tutorial, you\'ll find the SAT Math Practice: Level 5 exercise, featuring lots of previously-unreleased SAT math questions provided by College Board. Stuck on a problem? Check out videos where Sal solves each problem step by step. These are the hardest math problems on the SAT. Eye of the tiger!';
catalog['In this tutorial, you\'ll flex both your algebra and geometry muscles at the same time.  You\'ll do this by applying the right amount of spray tan (which is needed for properly flexing any muscle) and then solve problems about line segments using algebra!'] = 'In diesem Tutorial trainierst du sowohl deinen Algebra- als auch deinen Geometriemuskel.  Dies schaffst du, indem du ausreichend Br\u00e4une aus der Spr\u00fchdoses auftr\u00e4gst (braucht man f\u00fcr jedes gute Muskeltraining) und dann Aufgaben \u00fcber Strecken l\u00f6st, indem du Algebra verwendest!';
catalog['In this tutorial, you\'ll stretch your understanding of area and perimeter by applying it to word problems.'] = 'In diesem Tutorial erweiterst du dein Verst\u00e4ndnis von Fl\u00e4cheninhalt und Umfang, indem du sie auf Textaufgaben anwendest.';
catalog['In this video Karl talks to Ben Eater about his improvements to the Spider bot platform.'] = 'In this video Karl talks to Ben Eater about his improvements to the Spider bot platform.';
catalog['In this video we attach Bit-zee&#39;s bread board'] = 'In this video we attach Bit-zee&#39;s bread board';
catalog['In this video we attach and wire a digital voice recorder to Bit-zee.'] = 'In this video we attach and wire a digital voice recorder to Bit-zee.';
catalog['In this video we compare different revisions of the same digital camera.'] = 'In this video we compare different revisions of the same digital camera.';
catalog['In this video we compare our hair dryer motor to the motor we built.'] = 'In this video we compare our hair dryer motor to the motor we built.';
catalog['In this video we connect, bend and wire Bit-zee&#39;s IR sensor. This sensor will allow Bit-zee to receive commands from a universal remote control.'] = 'In this video we connect, bend and wire Bit-zee&#39;s IR sensor. This sensor will allow Bit-zee to receive commands from a universal remote control.';
catalog['In this video we create and wire Bit-zee&#39;s bumper switches'] = 'In this video we create and wire Bit-zee&#39;s bumper switches';
catalog['In this video we create and wire Bit-zee&#39;s tri-color LED eyes'] = 'In this video we create and wire Bit-zee&#39;s tri-color LED eyes';
catalog['In this video we discuss some of the key parts of Bit-zee'] = 'In this video we discuss some of the key parts of Bit-zee';
catalog['In this video we explore ground fault interrupt circuits and how they keep us safe.'] = 'In this video we explore ground fault interrupt circuits and how they keep us safe.';
catalog['In this video we explore the DVD ROM components inside a DVD player.'] = 'In this video we explore the DVD ROM components inside a DVD player.';
catalog['In this video we explore the control board inside a DVD player.'] = 'In this video we explore the control board inside a DVD player.';
catalog['In this video we explore the housing and functions of a DVD player.'] = 'In diesem Video erforschen wir das Geh\u00e4use und die Funktionen eines DVD-Spielers.';
catalog['In this video we explore the laser assembly inside a DVD player.'] = 'In this video we explore the laser assembly inside a DVD player.';
catalog['In this video we explore the power supply inside a DVD player.'] = 'In this video we explore the power supply inside a DVD player.';
catalog['In this video we explore what is inside a coffee maker, how it is made, and how it works.'] = 'In diesem Video erforschen wir, was in einer Kaffeemaschine ist, wie sie gemacht wird und wie sie funktioniert.';
catalog['In this video we explore what is inside a hairdryer, how it is made, and how it works.'] = 'In this video we explore what is inside a hairdryer, how it is made, and how it works.';
catalog['In this video we explore what is inside a universal remote control, how it is made, and how it works.'] = 'In this video we explore what is inside a universal remote control, how it is made, and how it works.';
catalog['In this video we explore what is inside an alarm clock, how it is made, and how it works.'] = 'In diesem Video erforschen wir was in einem Wecker drinnen ist, wie er gebaut wird, und wie er funktioniert.';
catalog['In this video we go inside a tap light to discover what is inside and how it works.'] = 'In this video we go inside a tap light to discover what is inside and how it works.';
catalog['In this video we go inside the digital camera to discover what is inside and how it works.'] = 'In diesem Video erforschen wir was in einer Digitalkamera ist und wie sie funktioniert.';
catalog['In this video we hack apart a bread board to create a 5 volt power distribution strip. The 5 volts comes from the center pin in the motor controller and the negative or ground comes from the ground pin on the motor controller.'] = 'In this video we hack apart a bread board to create a 5 volt power distribution strip. The 5 volts comes from the center pin in the motor controller and the negative or ground comes from the ground pin on the motor controller.';
catalog['In this video we install 8 AA batteries in Bit-zee&#39;s frame using zip ties.'] = 'In this video we install 8 AA batteries in Bit-zee&#39;s frame using zip ties.';
catalog['In this video we re-wire Bit-zee&#39;s motors to include longer wires and then we re-attach them to his frame. This video shows more detail than the previous motor video and it is shot in real time. This video also shows how to route the wires.'] = 'In this video we re-wire Bit-zee&#39;s motors to include longer wires and then we re-attach them to his frame. This video shows more detail than the previous motor video and it is shot in real time. This video also shows how to route the wires.';
catalog['In this video we replicate Pascal\'s famous experiment that showed atmospheric pressure was due to the column of the weight of the air above. To test this we build a simple pressure measuring device, make measurements around Boston, and then use the ideal gas law to calculate the pressures we measured.\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions'] = 'In this video we replicate Pascal\'s famous experiment that showed atmospheric pressure was due to the column of the weight of the air above. To test this we build a simple pressure measuring device, make measurements around Boston, and then use the ideal gas law to calculate the pressures we measured.\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions';
catalog['In this video we review some of the parts and tools you will need to build a spider bot.'] = 'In this video we review some of the parts and tools you will need to build a spider bot.';
catalog['In this video we show you how and where to create the mounting holes in BIt-zee&#39;s Lexan base for the arduino, batteries, camera, on/off switch and wire routing.'] = 'In this video we show you how and where to create the mounting holes in BIt-zee&#39;s Lexan base for the arduino, batteries, camera, on/off switch and wire routing.';
catalog['In this video we show you how to attach Bit-zee&#39;s camera and route the wires'] = 'In this video we show you how to attach Bit-zee&#39;s camera and route the wires';
catalog['In this video we show you how to attach and wire the L-298 motor controller board to Bit-zee&#39;s frame.'] = 'In this video we show you how to attach and wire the L-298 motor controller board to Bit-zee&#39;s frame.';
catalog['In this video we show you how to build a simple motor'] = 'In diesem Video zeigen wir dir wie man einen einfachen Motor baut';
catalog['In this video we show you how to connect Bit-zee&#39;s Arduino micro-controller to his frame.'] = 'In this video we show you how to connect Bit-zee&#39;s Arduino micro-controller to his frame.';
catalog['In this video we show you how to connect Spider&#39;s motors and batteries'] = 'In this video we show you how to connect Spider&#39;s motors and batteries';
catalog['In this video we show you how to connect Spider&#39;s motors to his tap light base.'] = 'In this video we show you how to connect Spider&#39;s motors to his tap light base.';
catalog['In this video we show you how to connect and wire Spider&#39;s motor controller.'] = 'In this video we show you how to connect and wire Spider&#39;s motor controller.';
catalog['In this video we show you how to craft the chassis for the Bit-zee using a $3 piece of Lexan and tap light housing'] = 'In this video we show you how to craft the chassis for the Bit-zee using a $3 piece of Lexan and tap light housing';
catalog['In this video we show you how to create Bit-zee&#39;s fenders out of hair dryer motor mounts and we also take you through how to mount the hair dryer motors in Bit-zee&#39;s frame.'] = 'In this video we show you how to create Bit-zee&#39;s fenders out of hair dryer motor mounts and we also take you through how to mount the hair dryer motors in Bit-zee&#39;s frame.';
catalog['In this video we show you how to create a power connector for your arduino.'] = 'In this video we show you how to create a power connector for your arduino.';
catalog['In this video we show you how to determine which wire is which and how to connect them to your Arduino.'] = 'In this video we show you how to determine which wire is which and how to connect them to your Arduino.';
catalog['In this video we show you how to hack a click n&#39; stick tap light to make a body for Spider'] = 'In this video we show you how to hack a click n&#39; stick tap light to make a body for Spider';
catalog['In this video we show you how to switch on and off Bit-zee&#39;s electrical power.'] = 'In this video we show you how to switch on and off Bit-zee&#39;s electrical power.';
catalog['In this video we take a quick a look at some of the parts we used to make Bit-zee. Although we highly recommend you create your own Bit-zee using parts from products that people would otherwise throw away.'] = 'In this video we take a quick a look at some of the parts we used to make Bit-zee. Although we highly recommend you create your own Bit-zee using parts from products that people would otherwise throw away.';
catalog['In this video we take you step by step through building the L298 Motor driver. This controller allows you to use your Arduino to control the hair dryer motors used to move the Bit-zee bot.'] = 'In this video we take you step by step through building the L298 Motor driver. This controller allows you to use your Arduino to control the hair dryer motors used to move the Bit-zee bot.';
catalog['In this video we upgrade Bit-zee&#39; battery wires from 32 gage to 18 gauge.'] = 'In this video we upgrade Bit-zee&#39; battery wires from 32 gage to 18 gauge.';
catalog['In this video we wire Bit-zee&#39;s camera&#39;s shutter and power functions to some transistors on the bread board and then we connect the transistors to the Arduino.'] = 'In this video we wire Bit-zee&#39;s camera&#39;s shutter and power functions to some transistors on the bread board and then we connect the transistors to the Arduino.';
catalog['In this video, Buddhist monk artists, Seol-min (formerly known as Jae-u) and Myung Chun discuss Korean Buddhist art and paint the Guardian King of the West, which is now in the Asian Art Museum&#39;s collection. This video also includes footage from a symbolic eye-opening ceremony, which took place at the museum on December 20, 2003.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/introduction-korean-buddhism">Learn more about Korean Buddhism</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'In this video, Buddhist monk artists, Seol-min (formerly known as Jae-u) and Myung Chun discuss Korean Buddhist art and paint the Guardian King of the West, which is now in the Asian Art Museum&#39;s collection. This video also includes footage from a symbolic eye-opening ceremony, which took place at the museum on December 20, 2003.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/introduction-korean-buddhism">Learn more about Korean Buddhism</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['In this video, Henry Louis Gates, Jr., explains how three types of genetic tests (YDNA, mtDNA, and auDNA) helped him understand his own family history, and then goes on to explain how these same tests can help scholars reconstruct the past 60,000 years of human migration as well.<br>'] = 'In this video, Henry Louis Gates, Jr., explains how three types of genetic tests (YDNA, mtDNA, and auDNA) helped him understand his own family history, and then goes on to explain how these same tests can help scholars reconstruct the past 60,000 years of human migration as well.<br>';
catalog['In this video, I review our ability to break down an image into its component &quot;features&quot; such as color, form, and motion. This is known as feature detection, and since the detection of various features happens simultaneously, or in parallel, it is referred to as parallel processing.&nbsp; By Ronald Sahyouni.'] = 'In this video, I review our ability to break down an image into its component &quot;features&quot; such as color, form, and motion. This is known as feature detection, and since the detection of various features happens simultaneously, or in parallel, it is referred to as parallel processing.&nbsp; By Ronald Sahyouni.';
catalog['In this video, I review the somatosensory homunculus, which is basically a &quot;topological&quot; representation of the body in the brain.&nbsp; By Ronald Sahyouni.'] = 'In this video, I review the somatosensory homunculus, which is basically a &quot;topological&quot; representation of the body in the brain.&nbsp; By Ronald Sahyouni.';
catalog['In this video, we&#39;ll learn how different environments might affect an enzyme&#39;s function. Important environmental factors include pH and temperature.&nbsp;By Ross Firestone.'] = 'In this video, we&#39;ll learn how different environments might affect an enzyme&#39;s function. Important environmental factors include pH and temperature.&nbsp;By Ross Firestone.';
catalog['In which Hank does some push ups for science and describes the &quot;economy&quot; of cellular respiration and the various processes whereby our bodies create energy in the form of ATP.'] = 'In which Hank does some push ups for science and describes the &quot;economy&quot; of cellular respiration and the various processes whereby our bodies create energy in the form of ATP.';
catalog['In which John Green discusses the strange and mutually beneficial relationship between a republic, the citystate of Venice, and an Empire, the Ottomans--and how studying history can help you to be a better boyfriend and/or girlfriend. Together, the Ottoman Empire and Venice grew wealthy by facilitating trade: The Venetians had ships and nautical expertise; the Ottomans had access to many of the most valuable goods in the world, especially pepper and grain. Working together across cultural and religious divides, they both become very rich, and the Ottomans became one of the most powerful political entities in the world. We also discuss how economic realities can overcome religious and political differences (in this case between Muslims and Christians), the doges of Venice, the sultans of the Ottoman empire, the janissaries and so-called slave aristocracy of the Ottoman Empire, and how money and knowledge from the Islamic world helped fuel and fund the European Renaissance. Also, there&#39;s a <em>They Might Be Giants</em> joke.'] = 'In which John Green discusses the strange and mutually beneficial relationship between a republic, the citystate of Venice, and an Empire, the Ottomans--and how studying history can help you to be a better boyfriend and/or girlfriend. Together, the Ottoman Empire and Venice grew wealthy by facilitating trade: The Venetians had ships and nautical expertise; the Ottomans had access to many of the most valuable goods in the world, especially pepper and grain. Working together across cultural and religious divides, they both become very rich, and the Ottomans became one of the most powerful political entities in the world. We also discuss how economic realities can overcome religious and political differences (in this case between Muslims and Christians), the doges of Venice, the sultans of the Ottoman empire, the janissaries and so-called slave aristocracy of the Ottoman Empire, and how money and knowledge from the Islamic world helped fuel and fund the European Renaissance. Also, there&#39;s a <em>They Might Be Giants</em> joke.';
catalog['In which John Green examines the French Revolution, and gets into how and why it differed from the American Revolution. Was it the serial authoritarian regimes? The guillotine? The Reign of Terror? All of this and more contributed to the French Revolution not being quite as revolutionary as it could have been. France endured multiple constitutions, the heads of heads of state literally rolled, and then they ended up with a megalomaniacal little emperor by the name of Napoleon. But how did all of this change the world, and how did it lead to other, more successful revolutions around the world? Watch this video and find out. Spoiler alert: Marie Antoinette never said, &quot;Let them eat cake.&quot; Sorry.'] = 'In which John Green examines the French Revolution, and gets into how and why it differed from the American Revolution. Was it the serial authoritarian regimes? The guillotine? The Reign of Terror? All of this and more contributed to the French Revolution not being quite as revolutionary as it could have been. France endured multiple constitutions, the heads of heads of state literally rolled, and then they ended up with a megalomaniacal little emperor by the name of Napoleon. But how did all of this change the world, and how did it lead to other, more successful revolutions around the world? Watch this video and find out. Spoiler alert: Marie Antoinette never said, &quot;Let them eat cake.&quot; Sorry.';
catalog['In which John Green explores how Spain went from being a middling European power to one of the most powerful empires on Earth, thanks to their plunder of the New World in the 16th and 17th centuries. Learn how Spain managed to destroy the two biggest pre-Columbian civilizations, mine a mountain made of silver, mishandle their economy, and lose it all by the mid-1700s. Come along for the roller coaster ride with Charles I (he was also Charles V), Philip II, Atahualpa, Moctezuma, Hern&aacute;n Cort&eacute;s, and Francisco Pizarro as Spain rises and falls, and takes two empires and China down with them.'] = 'In which John Green explores how Spain went from being a middling European power to one of the most powerful empires on Earth, thanks to their plunder of the New World in the 16th and 17th centuries. Learn how Spain managed to destroy the two biggest pre-Columbian civilizations, mine a mountain made of silver, mishandle their economy, and lose it all by the mid-1700s. Come along for the roller coaster ride with Charles I (he was also Charles V), Philip II, Atahualpa, Moctezuma, Hern&aacute;n Cort&eacute;s, and Francisco Pizarro as Spain rises and falls, and takes two empires and China down with them.';
catalog['In which John Green investigates the dawn of human civilization. John looks into how people gave up hunting and gathering to become agriculturalists, and how that change has influenced the world we live in today. Also, there are some jokes about cheeseburgers.'] = 'In which John Green investigates the dawn of human civilization. John looks into how people gave up hunting and gathering to become agriculturalists, and how that change has influenced the world we live in today. Also, there are some jokes about cheeseburgers.';
catalog['In which John Green talks about the many revolutions of Latin America in the 19th century. At the beginning of the 1800s, Latin America was firmly under the control of Spain and Portugal. The revolutionary zeal that had recently created the United States and had taken off Louis XVI&#39;s head in France arrived in South America, and a racially diverse group of people who felt more South American than European took over. John covers the soft revolution of Brazil, in which Prince Pedro boldly seized power from his father, but promised to give it back if King Jo&atilde;o ever returned to Brazil. He also covers the decidedly more violent revolutions in Mexico, Venezuela, and Argentina. Watch the video to see Sim&oacute;n Bol&iacute;var&#39;s dream of a United South America crushed, even as he manages to liberate a bunch of countries and get two currencies and about a thousand schools and parks named after him.'] = 'In which John Green talks about the many revolutions of Latin America in the 19th century. At the beginning of the 1800s, Latin America was firmly under the control of Spain and Portugal. The revolutionary zeal that had recently created the United States and had taken off Louis XVI&#39;s head in France arrived in South America, and a racially diverse group of people who felt more South American than European took over. John covers the soft revolution of Brazil, in which Prince Pedro boldly seized power from his father, but promised to give it back if King Jo&atilde;o ever returned to Brazil. He also covers the decidedly more violent revolutions in Mexico, Venezuela, and Argentina. Watch the video to see Sim&oacute;n Bol&iacute;var&#39;s dream of a United South America crushed, even as he manages to liberate a bunch of countries and get two currencies and about a thousand schools and parks named after him.';
catalog['In which John Green teaches you about China&#39;s Revolutions. While the rest of the world was off having a couple of World Wars, China was busily uprooting the dynastic system that had ruled there for millennia. Most revolutions have some degree of tumult associated with them, but China&#39;s 20th century revolutions were REALLY disruptive. In 1911 and 1912, Chinese nationalists brought 3000 years of dynastic rule to an end. China plunged into chaos as warlords staked out regions of the country for themselves. The nationalists and communists joined forces briefly to bring the nation back together under the Chinese Republic, and then they quickly split and started fighting the Chinese Civil War. The fight between nationalists and communists went on for decades, and was interrupted by an alliance to fight the invading Japanese during World War II. After the World War II ended, the Chinese Civil War was back on. Mao and the communists were ultimately victorious, and Chiang Kai-Shek ended up in Taiwan. And then it got weird. Mao spent years repeatedly trying to purify the Communist Party and build up the new People&#39;s Republic of China with Rectifications, Anti Campaigns, Five Year Plans. the Great Leap Forward, and the Cultural Revolution. These had mixed results, to say the least. John will cover all this and more in this week&#39;s Crash Course World History.'] = 'In which John Green teaches you about China&#39;s Revolutions. While the rest of the world was off having a couple of World Wars, China was busily uprooting the dynastic system that had ruled there for millennia. Most revolutions have some degree of tumult associated with them, but China&#39;s 20th century revolutions were REALLY disruptive. In 1911 and 1912, Chinese nationalists brought 3000 years of dynastic rule to an end. China plunged into chaos as warlords staked out regions of the country for themselves. The nationalists and communists joined forces briefly to bring the nation back together under the Chinese Republic, and then they quickly split and started fighting the Chinese Civil War. The fight between nationalists and communists went on for decades, and was interrupted by an alliance to fight the invading Japanese during World War II. After the World War II ended, the Chinese Civil War was back on. Mao and the communists were ultimately victorious, and Chiang Kai-Shek ended up in Taiwan. And then it got weird. Mao spent years repeatedly trying to purify the Communist Party and build up the new People&#39;s Republic of China with Rectifications, Anti Campaigns, Five Year Plans. the Great Leap Forward, and the Cultural Revolution. These had mixed results, to say the least. John will cover all this and more in this week&#39;s Crash Course World History.';
catalog['In which John Green teaches you about European Imperialism in the 19th century. European powers started to create colonial empires way back in the 16th century, but businesses really took off in the 19th century, especially in Asia and Africa. During the 1800s, European powers carved out spheres of influence in China, India, and pretty much all of Africa. While all of the major (and some minor) powers in Europe participated in this new imperialism, England was by far the most dominant, once able to claim that the &quot;sun never set on the British Empire.&quot; Also, they went to war for the right to continue to sell opium to the people of China. Twice. John will teach you how these empires managed to leverage the advances of the Industrial Revolution to build vast, wealth-generating empires. As it turns out, improved medicine, steam engines, and better guns were crucial in the 19th century conquests. Also, the willingness to exploit and abuse the people and resources of so-called &quot;primitive&quot; nations was very helpful in the whole enterprise.&nbsp;'] = 'In which John Green teaches you about European Imperialism in the 19th century. European powers started to create colonial empires way back in the 16th century, but businesses really took off in the 19th century, especially in Asia and Africa. During the 1800s, European powers carved out spheres of influence in China, India, and pretty much all of Africa. While all of the major (and some minor) powers in Europe participated in this new imperialism, England was by far the most dominant, once able to claim that the &quot;sun never set on the British Empire.&quot; Also, they went to war for the right to continue to sell opium to the people of China. Twice. John will teach you how these empires managed to leverage the advances of the Industrial Revolution to build vast, wealth-generating empires. As it turns out, improved medicine, steam engines, and better guns were crucial in the 19th century conquests. Also, the willingness to exploit and abuse the people and resources of so-called &quot;primitive&quot; nations was very helpful in the whole enterprise.&nbsp;';
catalog['In which John Green teaches you about Nationalism. Nationalism was everywhere in the 19th century, as people all over the world carved new nation-states out of old empires. Nationalist leaders changed the way people thought of themselves and the places they lived by reinventing education, military service, and the relationship between government and governed. In Japan, the traditional feudal society underwent a long transformation over the course of about 300 years to become a modern nation-state. John follows the course of Japanese history from the emergence of the Tokugawa Shogunate to the Meiji Restoration, and covers Nationalism in many other countries along the way. All this, plus a special guest appearance, plus the return of an old friend on a extra-special episode of Crash Course.'] = 'In which John Green teaches you about Nationalism. Nationalism was everywhere in the 19th century, as people all over the world carved new nation-states out of old empires. Nationalist leaders changed the way people thought of themselves and the places they lived by reinventing education, military service, and the relationship between government and governed. In Japan, the traditional feudal society underwent a long transformation over the course of about 300 years to become a modern nation-state. John follows the course of Japanese history from the emergence of the Tokugawa Shogunate to the Meiji Restoration, and covers Nationalism in many other countries along the way. All this, plus a special guest appearance, plus the return of an old friend on a extra-special episode of Crash Course.';
catalog['In which John Green teaches you about capitalism and socialism in a way that is sure to please commenters from both sides of the debate. Learn how capitalism arose from the industrial revolution, and then gave rise to socialism. Learn about how we got from the British East India Company to iPhones and consumer culture in just a couple of hundred years. Stops along the way include the rise of industrial capitalism, mass production, disgruntled workers, Karl Marx, and the Socialist Beard. The socialist reactions to the ills of capitalism are covered as well, and John discusses some of the ideas of Karl Marx, and how they&#39;ve been implemented or ignored in various socialist states. Plus, there are robots!'] = 'In which John Green teaches you about capitalism and socialism in a way that is sure to please commenters from both sides of the debate. Learn how capitalism arose from the industrial revolution, and then gave rise to socialism. Learn about how we got from the British East India Company to iPhones and consumer culture in just a couple of hundred years. Stops along the way include the rise of industrial capitalism, mass production, disgruntled workers, Karl Marx, and the Socialist Beard. The socialist reactions to the ills of capitalism are covered as well, and John discusses some of the ideas of Karl Marx, and how they&#39;ve been implemented or ignored in various socialist states. Plus, there are robots!';
catalog['In which John Green teaches you about globalization, a subject so epic, so, um, global, it requires two videos. In this video, John follows the surprisingly complex path of t-shirt as it criss-crosses the world before coming to rest on your doorstep, and eventually in your dresser. (Unless you&#39;re one of those people who never puts their laundry away and lives out of a laundry basket. If that&#39;s the case, shame on you.) Anyway, the story of the t-shirt and its manufacture in far-flung places like China, Guatemala, and India is a microcosm of what&#39;s going on in the global economy. Globalization is a bit of a mixed bag, and there have definitely been winners and losers along the way. In this episode John will talk about some of the benefits that have come along with it. Next week, he&#39;ll get into some of the less-positive side effects of globalization.'] = 'In which John Green teaches you about globalization, a subject so epic, so, um, global, it requires two videos. In this video, John follows the surprisingly complex path of t-shirt as it criss-crosses the world before coming to rest on your doorstep, and eventually in your dresser. (Unless you&#39;re one of those people who never puts their laundry away and lives out of a laundry basket. If that&#39;s the case, shame on you.) Anyway, the story of the t-shirt and its manufacture in far-flung places like China, Guatemala, and India is a microcosm of what&#39;s going on in the global economy. Globalization is a bit of a mixed bag, and there have definitely been winners and losers along the way. In this episode John will talk about some of the benefits that have come along with it. Next week, he&#39;ll get into some of the less-positive side effects of globalization.';
catalog['In which John Green teaches you about the American Revolution and the American Revolutionary War, which it turns out were two different things. John goes over the issues and events that precipitated rebellion in Britain&#39;s American colonies, and he also explores the ideas that laid the groundwork for the new American democracy. Find out how the tax bill from the Seven Years War fomented an uprising, how the Enlightenment influenced the Founding Fathers, and who were the winners and losers in this conflict.(hint: many of the people living in the Colonies ended up losers) The Revolution purportedly brought freedom and equality to the Thirteen Colonies, but they weren&#39;t equally distributed. Also, you&#39;ll learn about America&#39;s love affair with commemorative ceramics and what happens when rich white guys take the reins from reins white guys, and put together a society of, by, and for rich white guys.'] = 'In which John Green teaches you about the American Revolution and the American Revolutionary War, which it turns out were two different things. John goes over the issues and events that precipitated rebellion in Britain&#39;s American colonies, and he also explores the ideas that laid the groundwork for the new American democracy. Find out how the tax bill from the Seven Years War fomented an uprising, how the Enlightenment influenced the Founding Fathers, and who were the winners and losers in this conflict.(hint: many of the people living in the Colonies ended up losers) The Revolution purportedly brought freedom and equality to the Thirteen Colonies, but they weren&#39;t equally distributed. Also, you&#39;ll learn about America&#39;s love affair with commemorative ceramics and what happens when rich white guys take the reins from reins white guys, and put together a society of, by, and for rich white guys.';
catalog['In which John Green teaches you about the Cold War, which was occasionally hot, but on average, it was cool. In the sense of its temperature. It was by no means cool, man. After World War II, there were basically two big geopolitical powers left to divide up the world. And divide they did. The United States and the Soviet Union divvied up Europe in the aftermath of the war, and then proceeded to spend the next 45 years fighting over the rest of the world. It was the great ideological struggle, with the US on the side of capitalism and profit, and the USSR pushing Communism, so-called. While both sides presented themselves as the good guy in this situation, the reality is that there are no good guys. Both parties to the Cold War engaged in forcible regime changes, built up vast nuclear arsenals, and basically got up to dirty tricks. If you had to pick a bad guy though, I would point out that the USSR had no intention of brining Laika the Cosmonaut Dog home alive. That poor dog never had a shot.'] = 'In which John Green teaches you about the Cold War, which was occasionally hot, but on average, it was cool. In the sense of its temperature. It was by no means cool, man. After World War II, there were basically two big geopolitical powers left to divide up the world. And divide they did. The United States and the Soviet Union divvied up Europe in the aftermath of the war, and then proceeded to spend the next 45 years fighting over the rest of the world. It was the great ideological struggle, with the US on the side of capitalism and profit, and the USSR pushing Communism, so-called. While both sides presented themselves as the good guy in this situation, the reality is that there are no good guys. Both parties to the Cold War engaged in forcible regime changes, built up vast nuclear arsenals, and basically got up to dirty tricks. If you had to pick a bad guy though, I would point out that the USSR had no intention of brining Laika the Cosmonaut Dog home alive. That poor dog never had a shot.';
catalog['In which John Green teaches you about the Crusades embarked upon by European Christians in the 12th and 13th centuries. Our traditional perception of the Crusades as European Colonization thinly veiled in religion isn&#39;t quite right. John covers the First through the Fourth Crusades, telling you which were successful, which were well-intentioned yet ultimately destructive, and which were just plain crazy. Before you ask, no, he doesn&#39;t cover the Children&#39;s Crusade, in which children were provoked to gather for a Crusade, and then promptly sold into slavery by the organizers of said Crusade. While this story is charming, it turns out to be complete and utter hooey.&nbsp;'] = 'In which John Green teaches you about the Crusades embarked upon by European Christians in the 12th and 13th centuries. Our traditional perception of the Crusades as European Colonization thinly veiled in religion isn&#39;t quite right. John covers the First through the Fourth Crusades, telling you which were successful, which were well-intentioned yet ultimately destructive, and which were just plain crazy. Before you ask, no, he doesn&#39;t cover the Children&#39;s Crusade, in which children were provoked to gather for a Crusade, and then promptly sold into slavery by the organizers of said Crusade. While this story is charming, it turns out to be complete and utter hooey.&nbsp;';
catalog['In which John Green teaches you about the European Renaissance. European learning changed the world in the 15th and 16th century, but was it a cultural revolution, or an evolution? We&#39;d argue that any cultural shift that occurs over a couple of hundred years isn&#39;t too overwhelming to the people who live through it. In retrospect though, the cultural bloom in Europe during this time was pretty impressive. In addition to investigating what caused the Renaissance and who benefitted from the changes that occurred, John will tell you just how the Ninja Turtles got mixed up in all this.'] = 'In which John Green teaches you about the European Renaissance. European learning changed the world in the 15th and 16th century, but was it a cultural revolution, or an evolution? We&#39;d argue that any cultural shift that occurs over a couple of hundred years isn&#39;t too overwhelming to the people who live through it. In retrospect though, the cultural bloom in Europe during this time was pretty impressive. In addition to investigating what caused the Renaissance and who benefitted from the changes that occurred, John will tell you just how the Ninja Turtles got mixed up in all this.';
catalog['In which John Green teaches you about the Indus Valley Civilization, one of the largest of the ancient civilizations. John teaches you the who, how, when, where and why of the Indus Valley Civilization, and dispenses advice on how to be more successful in your romantic relationships.'] = 'In which John Green teaches you about the Indus Valley Civilization, one of the largest of the ancient civilizations. John teaches you the who, how, when, where and why of the Indus Valley Civilization, and dispenses advice on how to be more successful in your romantic relationships.';
catalog['In which John Green teaches you about the beginning of the so-called Age of Discovery. You&#39;ve probably heard of Christopher Columbus, who &quot;discovered&quot; America in 1492, but what about Vasco da Gama? How about Zheng He? Columbus gets a bad rap from many modern historians, but it turns out he was pretty important as far as the history of the world goes. That said, he wasn&#39;t the only pioneer plying the seas in the 1400s. In Portugal, Vasco da Gama was busy integrating Europe into the Indian Ocean Trade by sailing around Africa. Chinese admiral Zheng He was also traveling far and wide in the largest wooden ships ever built. Columbus, whether portrayed as hero or villain, is usually credited as the great sailor of the 15th century, but he definitely wasn&#39;t the only contender. What better way to settle this question than with a knock-down, drag-out, no holds barred, old-fashioned battle royal? We were going to make it a cage match, but welding is EXPENSIVE.'] = 'In which John Green teaches you about the beginning of the so-called Age of Discovery. You&#39;ve probably heard of Christopher Columbus, who &quot;discovered&quot; America in 1492, but what about Vasco da Gama? How about Zheng He? Columbus gets a bad rap from many modern historians, but it turns out he was pretty important as far as the history of the world goes. That said, he wasn&#39;t the only pioneer plying the seas in the 1400s. In Portugal, Vasco da Gama was busy integrating Europe into the Indian Ocean Trade by sailing around Africa. Chinese admiral Zheng He was also traveling far and wide in the largest wooden ships ever built. Columbus, whether portrayed as hero or villain, is usually credited as the great sailor of the 15th century, but he definitely wasn&#39;t the only contender. What better way to settle this question than with a knock-down, drag-out, no holds barred, old-fashioned battle royal? We were going to make it a cage match, but welding is EXPENSIVE.';
catalog['In which John Green teaches you about the changes wrought by contact between the Old World and the New. John does this by exploring the totally awesome history book &quot;The Columbian Exchange&quot; by Alfred Cosby, Jr. After Columbus &quot;discovered&quot; the Americas, European conquerors, traders, and settlers brought all manner of changes to the formerly isolated continents. Disease and invasive plant and animal species remade the New World, usually in negative ways. While native people, plants, and animals were being displaced in the Americas, the rest of the world was benefitting from American imports, especially foods like maize, tomatoes, potatoes, pineapple, blueberries, sweet potatoes, and manioc. Was the Columbian Exchange a net positive? It&#39;s debatable. So debate.'] = 'In which John Green teaches you about the changes wrought by contact between the Old World and the New. John does this by exploring the totally awesome history book &quot;The Columbian Exchange&quot; by Alfred Cosby, Jr. After Columbus &quot;discovered&quot; the Americas, European conquerors, traders, and settlers brought all manner of changes to the formerly isolated continents. Disease and invasive plant and animal species remade the New World, usually in negative ways. While native people, plants, and animals were being displaced in the Americas, the rest of the world was benefitting from American imports, especially foods like maize, tomatoes, potatoes, pineapple, blueberries, sweet potatoes, and manioc. Was the Columbian Exchange a net positive? It&#39;s debatable. So debate.';
catalog['In which John Green teaches you about the fall of the Roman Empire, which happened considerably later than you may have been told. While the Western Roman Empire fell to barbarians in 476 CE, the Byzantines in Constantinople continued the Eastern Empire nicely, calling themselves Romans for a further 1000 years. Find out what Justinian and the rest of the Byzantine emperors were up to over there, and how the Roman Empire dragged out its famous Decline well into medieval times. In addition to all this, you&#39;ll learn about ancient sports riots and hipster barbarians, too.'] = 'In which John Green teaches you about the fall of the Roman Empire, which happened considerably later than you may have been told. While the Western Roman Empire fell to barbarians in 476 CE, the Byzantines in Constantinople continued the Eastern Empire nicely, calling themselves Romans for a further 1000 years. Find out what Justinian and the rest of the Byzantine emperors were up to over there, and how the Roman Empire dragged out its famous Decline well into medieval times. In addition to all this, you&#39;ll learn about ancient sports riots and hipster barbarians, too.';
catalog['In which John Green teaches you about the life and death of one of history\'s great explorers, Captain James Cook of the British Navy. He charted large swaths of the Pacific ocean, laid claim to Australia and New Zealand, and died a bizarre death in the Sandwich Islands, which are now called the Hawaiian Islands. Exactly how and why Captain Cook was killed in Hawaii is a long-running historical debate. John presents two interpretations of the event, and talks about what the differing interpretations say about history. It turns out how the story is told depends on who is doing the storytelling, and people from different backgrounds can interpret events in very different ways. Also, there is a celebration and a moustache involved in this episode, so you definitely don\'t want to miss it.<br>'] = 'In which John Green teaches you about the life and death of one of history\'s great explorers, Captain James Cook of the British Navy. He charted large swaths of the Pacific ocean, laid claim to Australia and New Zealand, and died a bizarre death in the Sandwich Islands, which are now called the Hawaiian Islands. Exactly how and why Captain Cook was killed in Hawaii is a long-running historical debate. John presents two interpretations of the event, and talks about what the differing interpretations say about history. It turns out how the story is told depends on who is doing the storytelling, and people from different backgrounds can interpret events in very different ways. Also, there is a celebration and a moustache involved in this episode, so you definitely don\'t want to miss it.<br>';
catalog['In which John Green teaches you about the post-World War II breakup of most of the European empires. As you&#39;ll remember from previous installments of Crash Course, Europeans spent several centuries sailing around the world creating empires, despite the fact that most of the places they conquered were perfectly happy to carry on alone. After World War II, most of these empires collapsed. This is the story of those collapses. In most places, the end of empire was not orderly, and violence often ensued. While India was a (sort of) shining example of non-violent change, in places like The Congo, Egypt, Rwanda, Vietnam, Cambodia, and Laos, things didn&#39;t go smoothly at all. John brings you all this, plus pictures of Sea Monkeys. Sadly, they don&#39;t look anything like those awesome commercials in the comic books.'] = 'In which John Green teaches you about the post-World War II breakup of most of the European empires. As you&#39;ll remember from previous installments of Crash Course, Europeans spent several centuries sailing around the world creating empires, despite the fact that most of the places they conquered were perfectly happy to carry on alone. After World War II, most of these empires collapsed. This is the story of those collapses. In most places, the end of empire was not orderly, and violence often ensued. While India was a (sort of) shining example of non-violent change, in places like The Congo, Egypt, Rwanda, Vietnam, Cambodia, and Laos, things didn&#39;t go smoothly at all. John brings you all this, plus pictures of Sea Monkeys. Sadly, they don&#39;t look anything like those awesome commercials in the comic books.';
catalog['In which John Green teaches you about the so-called Silk Road, a network of trade routes where goods such as ivory, silver, iron, wine, and yes, silk were exchanged across the ancient world, from China to the West. Along with all these consumer goods, things like disease and ideas made the trip as well. As is his custom, John ties the Silk Road to modern life, and the ways that we get our stuff today.'] = 'In which John Green teaches you about the so-called Silk Road, a network of trade routes where goods such as ivory, silver, iron, wine, and yes, silk were exchanged across the ancient world, from China to the West. Along with all these consumer goods, things like disease and ideas made the trip as well. As is his custom, John ties the Silk Road to modern life, and the ways that we get our stuff today.';
catalog['In which John Green teaches you about the war that was supposed to end all wars. Instead, it solved nothing and set the stage for the world to be back at war just a couple of decades later. As an added bonus, World War I changed the way people look at the world, and normalized cynicism and irony. John will teach you how the assassination of an Austrian Archduke kicked off a new kind of war that involved more nations and more people than any war that came before. New technology like machine guns, airplanes, tanks, and poison gas made the killing more efficient than ever. Trench warfare and modern weapons led to battles in which tens of thousands of soldiers were killed in a day, with no ground gained for either side. World War I washed away the last vestiges of 19th century Romanticism and paved the way for the 20th century modernism that we all know and find to be cold and off-putting. While there may not be much upside to WWI, at least it inspired George M. Cohan to write the awesome song, &quot;Over There.&quot;'] = 'In which John Green teaches you about the war that was supposed to end all wars. Instead, it solved nothing and set the stage for the world to be back at war just a couple of decades later. As an added bonus, World War I changed the way people look at the world, and normalized cynicism and irony. John will teach you how the assassination of an Austrian Archduke kicked off a new kind of war that involved more nations and more people than any war that came before. New technology like machine guns, airplanes, tanks, and poison gas made the killing more efficient than ever. Trench warfare and modern weapons led to battles in which tens of thousands of soldiers were killed in a day, with no ground gained for either side. World War I washed away the last vestiges of 19th century Romanticism and paved the way for the 20th century modernism that we all know and find to be cold and off-putting. While there may not be much upside to WWI, at least it inspired George M. Cohan to write the awesome song, &quot;Over There.&quot;';
catalog['In which John Green teaches you how Russia evolved from a loose amalgamation of medieval principalities known as the Kievan Rus into the thriving democracy we know today. As you can imagine, there were a few bumps along the road. It turns out, our old friends the Mongols had quite a lot to do with unifying Russia. In yet another example of how surprisingly organized nomadic raiders can be, the Mongols brought the Kievan Rus together under a single leadership, and concentrated power in Moscow. This set the stage for the various Ivans (the Great and the Terrible) to throw off the yoke and form a pan-Russian nation ruled by an autocratic leader. More than 500 years later, we still have autocratic leadership in Russia. All this, plus a rundown of some of our favorite atrocities of Ivan the Terrible, and a visit from Putin!'] = 'In which John Green teaches you how Russia evolved from a loose amalgamation of medieval principalities known as the Kievan Rus into the thriving democracy we know today. As you can imagine, there were a few bumps along the road. It turns out, our old friends the Mongols had quite a lot to do with unifying Russia. In yet another example of how surprisingly organized nomadic raiders can be, the Mongols brought the Kievan Rus together under a single leadership, and concentrated power in Moscow. This set the stage for the various Ivans (the Great and the Terrible) to throw off the yoke and form a pan-Russian nation ruled by an autocratic leader. More than 500 years later, we still have autocratic leadership in Russia. All this, plus a rundown of some of our favorite atrocities of Ivan the Terrible, and a visit from Putin!';
catalog['In which John Green teaches you the history of Christianity, from the beginnings of Judaism and the development of monotheism, right up to Paul and how Christianity stormed the Roman Empire in just a few hundred years. Along the way, John will cover Abram/Abraham, the Covenant, the Roman Occupation of Judea, and the birth, life, death and legacy of Jesus of Nazareth. No flame wars! Let&#39;s keep the commentary civil.'] = 'In which John Green teaches you the history of Christianity, from the beginnings of Judaism and the development of monotheism, right up to Paul and how Christianity stormed the Roman Empire in just a few hundred years. Along the way, John will cover Abram/Abraham, the Covenant, the Roman Occupation of Judea, and the birth, life, death and legacy of Jesus of Nazareth. No flame wars! Let&#39;s keep the commentary civil.';
catalog['In which John Green teaches you the history of Islam, including the revelation of the Qu&#39;ran to Muhammad, the five pillars of Islam, how the Islamic empire got its start, the Rightly Guided Caliphs, and more. Learn about hadiths, Abu Bakr, and whether the Umma has anything to do with Uma Thurman (spoiler alert: it doesn&#39;t). Also, learn a little about the split between Sunni and Shia Muslims, and how to tell if this year&#39;s Ramadan is going to be difficult for your Muslim friends. Let&#39;s try to keep the flame wars out of this reasoned discussion.'] = 'In which John Green teaches you the history of Islam, including the revelation of the Qu&#39;ran to Muhammad, the five pillars of Islam, how the Islamic empire got its start, the Rightly Guided Caliphs, and more. Learn about hadiths, Abu Bakr, and whether the Umma has anything to do with Uma Thurman (spoiler alert: it doesn&#39;t). Also, learn a little about the split between Sunni and Shia Muslims, and how to tell if this year&#39;s Ramadan is going to be difficult for your Muslim friends. Let&#39;s try to keep the flame wars out of this reasoned discussion.';
catalog['In which John Green teaches you the history of the Indian Ocean Trade. John weaves a tale of swashbuckling adventure, replete with trade in books, ivory, and timber. Along the way, John manages to cover advances in seafaring technology, just how the monsoons work, and there&#39;s even a disembowelment for you Fangoria fans.'] = 'In which John Green teaches you the history of the Indian Ocean Trade. John weaves a tale of swashbuckling adventure, replete with trade in books, ivory, and timber. Along the way, John manages to cover advances in seafaring technology, just how the monsoons work, and there&#39;s even a disembowelment for you Fangoria fans.';
catalog['In which John Green teaches you, at long last, about the most exceptional bunch of empire-building nomads in the history of the world, the Mongols! How did the Mongols go from being a relatively small band of herders who occasionally engaged in some light hunting-gathering to being one of the most formidable fighting forces in the world? It turns out Genghis Khan was a pretty big part of it, but you probably already knew that. The more interesting questions might be, what kind of rulers were they, and what effect did their empire have on the world we know today? Find out, as John FINALLY teaches you about the Mongols.'] = 'In which John Green teaches you, at long last, about the most exceptional bunch of empire-building nomads in the history of the world, the Mongols! How did the Mongols go from being a relatively small band of herders who occasionally engaged in some light hunting-gathering to being one of the most formidable fighting forces in the world? It turns out Genghis Khan was a pretty big part of it, but you probably already knew that. The more interesting questions might be, what kind of rulers were they, and what effect did their empire have on the world we know today? Find out, as John FINALLY teaches you about the Mongols.';
catalog['In which John Green wraps up revolutions month with what is arguably the most revolutionary of modern revolutions, the Industrial Revolution. While very few leaders were beheaded in the course of this one, it changed the lives of more people more dramatically than any of the political revolutions we&#39;ve discussed. So, why did the Industrial Revolution happen around 1750 in the United Kingdom? Coal. Easily accessible coal, it turns out. All this, plus you&#39;ll finally learn the difference between James Watt and Thomas Newcomen, and will never again be caught telling people that your blender has a 900 Newcomen motor.'] = 'In which John Green wraps up revolutions month with what is arguably the most revolutionary of modern revolutions, the Industrial Revolution. While very few leaders were beheaded in the course of this one, it changed the lives of more people more dramatically than any of the political revolutions we&#39;ve discussed. So, why did the Industrial Revolution happen around 1750 in the United Kingdom? Coal. Easily accessible coal, it turns out. All this, plus you&#39;ll finally learn the difference between James Watt and Thomas Newcomen, and will never again be caught telling people that your blender has a 900 Newcomen motor.';
catalog['In which John asks whether globalization is a net positive for humanity. While the new global economy has created a lot of wealth, and lifted a lot of people out of poverty, it also has some effects that aren&#39;t so hot. Wealth disparity, rising divorce rates, environmental damage, and new paths for the spread of disease. So does all this outweigh the economic benefits, the innovation, and the relative peace that come with interconnected economies? As usual, the answer is not simple. In this case, we&#39;re living in the middle of the events we&#39;re discussing, so it&#39;s hard to know how it&#39;s going to turn out.&nbsp;'] = 'In which John asks whether globalization is a net positive for humanity. While the new global economy has created a lot of wealth, and lifted a lot of people out of poverty, it also has some effects that aren&#39;t so hot. Wealth disparity, rising divorce rates, environmental damage, and new paths for the spread of disease. So does all this outweigh the economic benefits, the innovation, and the relative peace that come with interconnected economies? As usual, the answer is not simple. In this case, we&#39;re living in the middle of the events we&#39;re discussing, so it&#39;s hard to know how it&#39;s going to turn out.&nbsp;';
catalog['In which John compares and contrasts Greek civilization and the Persian Empire. Of course we&#39;re glad that Greek civilization spawned modern western civilization, right? Maybe not. From Socrates and Plato to Darius and Xerxes, John explains two of the great powers of the ancient world, all WITHOUT the use of footage from 300.'] = 'In which John compares and contrasts Greek civilization and the Persian Empire. Of course we&#39;re glad that Greek civilization spawned modern western civilization, right? Maybe not. From Socrates and Plato to Darius and Xerxes, John explains two of the great powers of the ancient world, all WITHOUT the use of footage from 300.';
catalog['In which John introduces you to quite a lot of Chinese history by discussing the complicated relationship between the Confucian scholars who wrote Chinese history and the emperors (and empress) who made it. Included is a brief introduction to all the dynasties in Chinese history and an introduction to Confucius and the Confucian emphasis on filial piety, the role the mandate of heaven played in organizing China, and how China became the first modern state.'] = 'In which John introduces you to quite a lot of Chinese history by discussing the complicated relationship between the Confucian scholars who wrote Chinese history and the emperors (and empress) who made it. Included is a brief introduction to all the dynasties in Chinese history and an introduction to Confucius and the Confucian emphasis on filial piety, the role the mandate of heaven played in organizing China, and how China became the first modern state.';
catalog['In which John presents Mesopotamia, and the early civilizations that arose around the Fertile Crescent. Topics covered include the birth of territorial kingdoms, empires, Neo-Assyrian torture tactics, sacred marriages, ancient labor practices, the world&#39;s first law code, and the great failed romance of John&#39;s undergrad years.'] = 'In which John presents Mesopotamia, and the early civilizations that arose around the Fertile Crescent. Topics covered include the birth of territorial kingdoms, empires, Neo-Assyrian torture tactics, sacred marriages, ancient labor practices, the world&#39;s first law code, and the great failed romance of John&#39;s undergrad years.';
catalog['In which John relates a condensed history of India, post-Indus Valley Civilization. John explores Hinduism and the origins of Buddhism. He also gets into the reign of Ashoka, the Buddhist emperor who, in spite of Buddhism&#39;s structural disapproval of violence, managed to win a bunch of battles.'] = 'In which John relates a condensed history of India, post-Indus Valley Civilization. John explores Hinduism and the origins of Buddhism. He also gets into the reign of Ashoka, the Buddhist emperor who, in spite of Buddhism&#39;s structural disapproval of violence, managed to win a bunch of battles.';
catalog['In which John teaches you about the Seven Years War, which may have lasted nine years. Or as many as 23. It was a very confusing was. The Seven Years War was a global war, fought on five continents, which is kind of a lot. John focuses on the war as it happened in the Americas, Asia, and Africa. the &quot;great&quot; European powers were the primary combatants, but they fought just about everywhere. Of course, this being a history course, the outcomes of this war still resonate in our lives today. The Seven Years war determined the direction of the British Empire, and led pretty directly to the subject of Episode 28, the American Revolution.&nbsp;'] = 'In which John teaches you about the Seven Years War, which may have lasted nine years. Or as many as 23. It was a very confusing was. The Seven Years War was a global war, fought on five continents, which is kind of a lot. John focuses on the war as it happened in the Americas, Asia, and Africa. the &quot;great&quot; European powers were the primary combatants, but they fought just about everywhere. Of course, this being a history course, the outcomes of this war still resonate in our lives today. The Seven Years war determined the direction of the British Empire, and led pretty directly to the subject of Episode 28, the American Revolution.&nbsp;';
catalog['Inactive'] = 'Inactive';
catalog['Inbreeding'] = 'Inbreeding';
catalog['Incenter and incircles of a triangle'] = 'Incenter and incircles of a triangle';
catalog['Incentive theory'] = 'Incentive theory';
catalog['Inclined plane force components'] = 'Inclined plane force components';
catalog['Inclined planes and friction'] = 'Schiefe Ebenen und Reibung';
catalog['Income and expenditure - Keynesian cross and IS-LM model'] = 'Einnahmen und Ausgaben - keynesianischen Kreuz und IS-LM-Modell';
catalog['Income and expenditure views of GDP'] = 'Income and expenditure views of GDP';
catalog['Income and expenditure: Keynesian cross and IS-LM model'] = 'Income and expenditure: Keynesian cross and IS-LM model';
catalog['Inconsistent systems of equations'] = 'Inkonsistente Gleichungssysteme';
catalog['Incorrect user name or password'] = 'Incorrect user name or password';
catalog['Incorrect user name or password.'] = 'Incorrect user name or password.';
catalog['Increase strength of magnet'] = 'St\u00e4rke eines Magneten erh\u00f6hen';
catalog['Increasing opportunity cost'] = 'Increasing opportunity cost';
catalog['Increasing the heart\'s force of contraction'] = 'Increasing the heart\'s force of contraction';
catalog['Increasing ventricular contractility - inotropic effect'] = 'Increasing ventricular contractility - inotropic effect';
catalog['Indefinite and definite integrals'] = 'Unbestimmte und bestimmte Integrale';
catalog['Indefinite integral as anti-derivative'] = 'Unbestimmtes Integral als Stammfunktion';
catalog['Indefinite integral as anti-derivative.  Definite integral as area under a curve.  Integration by parts.  U-substitution.  Trig substitution.'] = 'Unbestimmte Integrale als Gegenst\u00fcck zur Ableitung. Bestimmte Integrale als Fl\u00e4che unter einer Kurve. Partielle Integration. Integration durch Substitution.';
catalog['Indefinite integrals of x raised to a power'] = 'Unbestimmte Integrale einer Potenz von x';
catalog['Independent Events 1'] = 'Unabh\u00e4ngige Ereignisse 1';
catalog['Independent and dependent events'] = 'Unabh\u00e4ngige und abh\u00e4ngige Ereignisse';
catalog['Independent and dependent systems'] = 'Unabh\u00e4ngige und abh\u00e4ngige Systeme';
catalog['Independent events warmup'] = 'Independent events warmup';
catalog['Independent probability'] = 'Unabh\u00e4ngige Wahrscheinlichkeit';
catalog['Independent realization from an ancestor\'s perspective'] = 'Unabh\u00e4ngige Darstellung aus der Perspektive eines Vorfahrens';
catalog['Indifference curves and marginal rate of substitution'] = 'Indifference curves and marginal rate of substitution';
catalog['Indifference curves for normal goods, substitutes and perfect complements'] = 'Indifferenz Kurven f\u00fcr normale G\u00fcter, Substitute und perfekte Komplemente';
catalog['Individuals and society'] = 'Individuals and society';
catalog['Induced current and EMF in a moving  wire from a magnetic field.'] = 'Induced current and EMF in a moving  wire from a magnetic field.';
catalog['Induced fit model of enzyme catalysis'] = 'Induced fit model of enzyme catalysis';
catalog['Induction'] = 'Induktion';
catalog['Inductive Patterns'] = 'Induktive Muster';
catalog['Inductive Reasoning 1'] = 'Induktive Beweisf\u00fchrung 1';
catalog['Inductive Reasoning 2'] = 'Induktive Beweisf\u00fchrung 2';
catalog['Inductive Reasoning 3'] = 'Induktive Beweisf\u00fchrung 3';
catalog['Inductive and Resonance effects'] = 'Inductive and Resonance effects';
catalog['Inductive effects on acidity'] = 'Inductive effects on acidity';
catalog['Inductive patterns'] = 'Induktive Muster';
catalog['Inductive reasoning 1'] = 'Induktive Beweisf\u00fchrung 1';
catalog['Inductive reasoning 2'] = 'Induktive Beweisf\u00fchrung 2';
catalog['Inductive reasoning 3'] = 'Induktive Beweisf\u00fchrung 3';
catalog['Indus Valley civilization'] = 'Indus Valley Zivilisation';
catalog['Inequalities Using Addition and Subtraction'] = 'Ungleichungen mit Addition und Subtraktion';
catalog['Inequalities Using Multiplication and Division'] = 'Ungleichungen mit Multiplikation und Division';
catalog['Inequalities in one variable 1 exercise'] = 'Ungleichungen mit einer Variablen - 1 \u00dcbung';
catalog['Inequalities in one variable 1'] = 'Ungleichungen mit einer Variablen 1';
catalog['Inequalities on a number line'] = 'Ungleichungen auf dem Zahlenstrahl';
catalog['Inequalities using addition and subtraction'] = 'Ungleichungen mit Addition und Subtraktion';
catalog['Inequalities using multiplication and division'] = 'Ungleichungen mit Multiplikation und Division';
catalog['Inequalities'] = 'Ungleichungen';
catalog['Inequalties : Greater than and less than basics'] = 'Ungleichheiten: Einf\u00fchrung in "gr\u00f6\u00dfer als" und "kleiner als"';
catalog['Inferential statistics'] = 'Inferenzstatistik';
catalog['Inferior goods clarification'] = 'Inferior goods clarification';
catalog['Inferring limit from numerical data'] = 'Inferring limit from numerical data';
catalog['Infinite geometric series'] = 'Unendliche geometrische Reihen';
catalog['Infinite solutions to systems'] = 'Unendliche L\u00f6sungen f\u00fcr Systeme';
catalog['Inflammation'] = 'Entz\u00fcndung';
catalog['Inflammatory response'] = 'Die Entz\u00fcndungsreaktion';
catalog['Inflation - measuring the cost of living'] = 'Inflation - Messgr\u00f6\u00dfe f\u00fcr die Lebenshaltungskosten';
catalog['Inflation and deflation 3: Obama stimulus plan'] = 'Inflation and deflation 3: Obama stimulus plan';
catalog['Inflation and deflation.  CPI-U. Real and nominal return.  Phillips Curve.'] = 'Inflation und Deflation. CPI-U. Reale und nominale Rendite. Philips Kurve.';
catalog['Inflation and real and nominal return'] = 'Inflation and real and nominal return';
catalog['Inflation and unemployment'] = 'Inflation and unemployment';
catalog['Inflation basics'] = 'Grundlagen zur Inflation';
catalog['Inflation data'] = 'Inflation data';
catalog['Inflation overview'] = 'Inflation overview';
catalog['Inflation scenarios'] = 'Inflations-Szenarien';
catalog['Inflation'] = 'Inflation';
catalog['Inflation, deflation, and capacity utilization 2'] = 'Inflation, deflation, and capacity utilization 2';
catalog['Inflation, deflation, and capacity utilization'] = 'Inflation, deflation, and capacity utilization';
catalog['Inflationary and deflationary scenarios'] = 'Inflationary and deflationary scenarios';
catalog['Inflection points'] = 'Inflection points';
catalog['Influenza'] = 'Grippe';
catalog['Informal conversation with Minli (I know.  I need a tripod)'] = 'Informelles Gespr\u00e4ch mit Minli (Ich wei\u00df, ich brauche dringend ein Stativ!)';
catalog['Information Theory in the 20th Century'] = 'Informationstheorie im 20. Jahrhundert';
catalog['Information about your KA Lite install, as well as device synchronization.'] = 'Information about your KA Lite install, as well as device synchronization.';
catalog['Information entropy'] = 'Informationsentropie';
catalog['Information processing model: Sensory, working, and long term memory'] = 'Information processing model: Sensory, working, and long term memory';
catalog['Infrared Waves (1800)'] = 'Infrarotwellen (1800)';
catalog['Ingres, La Grand Odalisque'] = 'Ingres, La Grand Odalisque';
catalog['Ingres, Princesse de Broglie'] = 'Ingres, Princesse de Broglie';
catalog['Ingres, Raphael and the Fornarina'] = 'Ingres, Raphael and the Fornarina';
catalog['Inhaling and exhaling'] = 'Inhaling and exhaling';
catalog['Initial rise of Hitler and the Nazis'] = 'Initial rise of Hitler and the Nazis';
catalog['Input current date (%(date_format)s)'] = 'Input current date (%(date_format)s)';
catalog['Input current time (%(time_format)s - 24 Hour)'] = 'Input current time (%(time_format)s - 24 Hour)';
catalog['Inradius, perimeter, and area'] = 'Inradius, perimeter, and area';
catalog['Inscribed and central angles'] = 'Inscribed and central angles';
catalog['Inscribed angles 1'] = 'Beschriftete Winkel 1';
catalog['Inscribing and circumscribing circles on a triangle'] = 'Hineingeschriebene und umschriebene Kreise in einem Dreieck';
catalog['Insertion sort algorithm'] = 'Insertion sort algorithm';
catalog['Insertion sort in python'] = 'Insertion sort in python';
catalog['Inspiration from Khan Academy\'s Discovery Lab'] = 'Inspiration from Khan Academy\'s Discovery Lab';
catalog['Install Directory'] = 'Installationsverzeichnis';
catalog['Install on/off switches'] = 'Install on/off switches';
catalog['Installation Location'] = 'Installation Location';
catalog['Installation of Richard Serra\'s sculptures at MoMA'] = 'Installation of Richard Serra\'s sculptures at MoMA';
catalog['Installed Language Packs'] = 'Installed Language Packs';
catalog['Installed Languages'] = 'Installed Languages';
catalog['Instantaneous speed and velocity'] = 'Instantaneous speed and velocity';
catalog['Instincts, Arousal, Needs, Drives: Drive-Reduction and Cognitive Theories'] = 'Instincts, Arousal, Needs, Drives: Drive-Reduction and Cognitive Theories';
catalog['Institutional roles in issuing and processing credit cards'] = 'Institutional roles in issuing and processing credit cards';
catalog['Institutions'] = 'Institutions';
catalog['Intaglio process'] = 'Intaglio process';
catalog['Integers raised to positive integers. Non-zero integers raised to the zero power. 0, -1, and 1 raised to very large positive integers.'] = 'Ganze Zahlen mit positiven, ganzzahligen Exponenten. 0 als Exponent. 0,-1 und 1 mit sehr gro\u00dfen ganzzahligen Exponenten.';
catalog['Integral calculus'] = 'Integralrechnung';
catalog['Integral of ln x'] = 'Integral von ln x';
catalog['Integrals: Trig substitution 1'] = 'Integrale: Trigonometrische Substitution 1';
catalog['Integrals: Trig substitution 2'] = 'Integrals: Trig substitution 2';
catalog['Integrals: Trig substitution 3 (long problem)'] = 'Integrals: Trig substitution 3 (long problem)';
catalog['Integrating factors 1'] = 'Integrierende Faktoren 1';
catalog['Integrating factors 2'] = 'Integrating factors 2';
catalog['Integrating what we know about isosceles triangles and parallel lines'] = 'Integrating what we know about isosceles triangles and parallel lines';
catalog['Integration by parts of (e^x)(cos x)'] = 'Partielle Integration von (e^x)(cos x)';
catalog['Integration by parts twice for antiderivative of (x^2)(e^x)'] = '2-fache partielle Integration f\u00fcr die Stammfunktion von (x^2)(e^x)';
catalog['Integration by parts'] = 'partielle Integration';
catalog['Integration by u-substitution'] = 'Integration by u-substitution';
catalog['Intelligence requires work'] = 'Intelligenz erfordert Arbeit';
catalog['Intelligent design and evolution'] = 'Intelligentes Design und Evolution';
catalog['Intercepts of linear functions'] = 'Schnittpunkte von linearen Funktionen';
catalog['Interest (part 2)'] = 'Zins (Teil 2)';
catalog['Interest and debt'] = 'Zinsen und Schulden';
catalog['Interest as rent for money'] = 'Interest as rent for money';
catalog['Interest as the price of money'] = 'Interest as the price of money';
catalog['Interest basics'] = 'Zins-Grundlagen';
catalog['Interest is the basis of modern capital markets.  Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing).\n\nThis tutorial gives an introduction to this fundamental concept, including what it means to compound.  It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head.'] = 'Zinsen sind die Fundamente des modernen Kapitalmarkts. Abh\u00e4ngig davon ob du Geld verleihst oder ausleihst, kann der Zinssatz entweder als Anlagenrendite (verleihen) oder als Kapitalkosten (ausleihen) angesehen werden.\n\nDieses Tutorial gibt dir einen ersten Einblick in dieses elementare Konzept, einschlie\u00dflich einem Verst\u00e4ndnis f\u00fcr Zinseszinsen. Au\u00dferdem geben wir dir eine gute Faustregel mit der du ganz einfach Zinss\u00e4tze im Kopf sch\u00e4tzen kannst.';
catalog['Interest on credit cards and loans'] = 'Zinsen auf Kreditkarten und Krediten';
catalog['Interest rate swap 1'] = 'Interest rate swap 1';
catalog['Interest rate swap 2'] = 'Interest rate swap 2';
catalog['Interest rate swaps'] = 'Zinsswaps';
catalog['Interest'] = 'Zinsen';
catalog['Interesting perimeter and area problems'] = 'Interessantes Problem f\u00fcr Umfang und Fl\u00e4che';
catalog['Interesting polynomial coefficient problem'] = 'Interessantes Polynom-Koeffizienten-Problem';
catalog['Interesting problem finding the sums of particular exterior angles of an irregular pentagon'] = 'Interessantes Problem beim Finden der Summen von bestimmten \u00e4u\u00dferen Winkel eines unregelm\u00e4\u00dfigen F\u00fcnfecks';
catalog['Interesting similarity problem where we don\'t have a lot of information to work with'] = 'Interesting similarity problem where we don\'t have a lot of information to work with';
catalog['Intergalactic Scale'] = 'Intergalaktischer Ma\u00dfstab';
catalog['Intergalactic scale'] = 'Intergalactic scale';
catalog['Intermolecular forces'] = 'Intermolecular forces';
catalog['International Style Architecture'] = 'International Style Architecture';
catalog['International commerce, snorkeling camels, and the Indian Ocean Trade'] = 'Internationaler Handel, schnorchelnde Kamele und der indische Ozean Handel';
catalog['International style architecture'] = 'International style architecture';
catalog['Internet bandwidth is very expensive at these facilities.'] = 'Internet bandwidth is very expensive at these facilities.';
catalog['Interpret products of whole numbers, e.g., interpret 5 &times; 7 as the total number of objects in 5 groups of 7 objects each.'] = 'Interpret products of whole numbers, e.g., interpret 5 &times; 7 as the total number of objects in 5 groups of 7 objects each.';
catalog['Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.'] = 'Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.';
catalog['Interpreting Inequalities'] = 'Interpretieren von Ungleichungen';
catalog['Interpreting Linear Graphs'] = 'Lineare Graphen interpretieren';
catalog['Interpreting a graph exercise example'] = 'Interpretation eines Graphen - eine Beispielaufgabe';
catalog['Interpreting a scale drawing to find living room area'] = 'Wohnfl\u00e4che aus einer Ma\u00dfstab-Zeichnung herauslesen';
catalog['Interpreting a trend line'] = 'Interpretation einer Trendgeraden';
catalog['Interpreting and comparing data distributions'] = 'Interpreting and comparing data distributions';
catalog['Interpreting and finding intercepts of linear functions'] = 'Interpretation und Schnittpunkte von linearen Funktionen finden';
catalog['Interpreting and graphing relationships between patterns'] = 'Interpretation und grafische Darstellung der Beziehungen zwischen Mustern';
catalog['Interpreting and solving linear inequalities'] = 'Lineare Ungleichheiten interpretieren und l\u00f6sen';
catalog['Interpreting angles'] = 'Winkel interpretieren';
catalog['Interpreting contemporary art'] = 'Interpreting contemporary art';
catalog['Interpreting data in line plot'] = 'Interpretieren von Daten auf einer Zahlengeraden';
catalog['Interpreting features of functions 2 (example 1)'] = 'Interpretation der Merkmale von Funktionen 2 (Beispiel 1)';
catalog['Interpreting features of functions 2 (example 2)'] = 'Interpretation der Merkmale von Funktionen 2 (Beispiel 2)';
catalog['Interpreting features of functions 2'] = 'Funktionen Interpretieren, Teil 2';
catalog['Interpreting features of linear functions example 2'] = 'Interpretieren von Merkmalen linearer Funktionen - Beispiel 2';
catalog['Interpreting features of linear functions example'] = 'Interpretieren von Merkmalen linearer Funktionen - Beispiel';
catalog['Interpreting features of linear functions'] = 'Eigenschaften von linearen Funktionen interpretieren';
catalog['Interpreting futures fair value in the premarket'] = 'Interpreting futures fair value in the premarket';
catalog['Interpreting graphs of linear and nonlinear functions'] = 'Interpretiere Grafiken von linearen und nicht-linearen Funktionen';
catalog['Interpreting inequalities'] = 'Interpretieren von Ungleichungen';
catalog['Interpreting intercepts of linear functions'] = 'Interpretation der Abschnitte von linearen Funktionen';
catalog['Interpreting line plots with fraction addition and subtraction'] = 'Interpretation von LIniendiagrammen mit Br\u00fcchen, Addition und Subtraktion';
catalog['Interpreting line plots with fraction multiplication and division'] = 'Interpretation von Liniendiagrammen mit Multiplikation und Division von Br\u00fcchen';
catalog['Interpreting linear expressions example 2'] = 'Interpretieren von linearen Ausdr\u00fccken - Beispiel 2';
catalog['Interpreting linear expressions example'] = 'Interpretieren von linearen Ausdr\u00fccken - Beispiel';
catalog['Interpreting linear expressions'] = 'Interpretieren linearer Terme';
catalog['Interpreting linear graphs'] = 'Lineare Graphen interpretieren';
catalog['Interpreting linear relationships'] = 'Lineare Beziehungen erkl\u00e4ren';
catalog['Interpreting relationships between patterns'] = 'Beziehungen zwischen Mustern interpretieren';
catalog['Interpreting scale drawings example'] = 'Interpretieren von Ma\u00dfstab Zeichnungen - Beispiel';
catalog['Interpreting scale drawings'] = 'Interpretieren von Zeichnungen mit Ma\u00dfst\u00e4ben';
catalog['Interpreting scatter plots'] = 'Interpretation von Streuungsdiagrammen';
catalog['Interpreting slope of a curve exercise'] = 'Steigung einer Kurve interpretieren -\u00dcbung';
catalog['Interpreting the Balance Sheet'] = 'Interpreting the Balance Sheet';
catalog['Interpreting the Income Statement'] = 'Interpreting the Income Statement';
catalog['Interpreting the PPD'] = 'Interpreting the PPD';
catalog['Intersecting functions example'] = 'Schnittpunkte von Funktionen - Beispiel';
catalog['Intersecting functions'] = 'Sich \u00fcberschneidende Funktionen';
catalog['Intersection and union of sets'] = 'Durchschnitt und Vereinigung von Mengen';
catalog['Interview with IT Conversations - January 31,2010'] = 'Interview mit IT Conversations - 31. Januar 2010';
catalog['Interview with Khan Academy Chief of Staff Jessica Yuen'] = 'Interview mit der Stabschefin der Khan Academy Jessica Yuen';
catalog['Interviews with entrepreneurs'] = 'Interviews mit Unternehmern';
catalog['Intramolecular aldol condensation'] = 'Intramolecular aldol condensation';
catalog['Intro algebra'] = 'Intro algebra';
catalog['Intro to 30-60-90 triangles'] = 'Einf\u00fchrung in 30-60-90 Dreiecke';
catalog['Intro to Coloring: How Computers Mix Colors'] = 'Einf\u00fchrung in die Farbgebung: wie Computer Farben mischen';
catalog['Intro to Drawing (Video Version)'] = 'Intro to Drawing (Video Version)';
catalog['Intro to Games & Visualizations'] = 'Intro to Games & Visualizations';
catalog['Intro to Games and Visualizations'] = 'Intro to Games and Visualizations';
catalog['Intro to JS: Drawing & Animation'] = 'Intro to JS: Drawing & Animation';
catalog['Intro to Modern Cryptography'] = 'Einf\u00fchrung in die Moderne Kryptographie';
catalog['Intro to addition and subtraction'] = 'Einf\u00fchrung in die Addition und Subtraktion';
catalog['Intro to algebra'] = 'Intro to algebra';
catalog['Intro to anthropology'] = 'Intro to anthropology';
catalog['Intro to archaeology'] = 'Intro to archaeology';
catalog['Intro to chemistry'] = 'Intro to chemistry';
catalog['Intro to color theory'] = 'Intro to color theory';
catalog['Intro to differential equations'] = 'Intro zu Differentialgleichungen';
catalog['Intro to history'] = 'Intro to history';
catalog['Intro to hyperbolic functions'] = 'Einf\u00fchrung in die hyperbolischen Funktionen';
catalog['Intro to logarithms. Learning that logarithms are just a way of expressing "the exponent that you have to raise a base to to get another number"'] = 'Einf\u00fchrung in Logarithmen: Logarithmen sind einfach eine M\u00f6glichkeit auszudr\u00fccken, "der Exponent, in den die Basis erhoben werden muss, um eine andere Zahl zu erhalten"';
catalog['Intro to long division without remainders'] = 'Einf\u00fchrung in lange Divisionen ohne Rest';
catalog['Intro to molecular orbital (mo) theory'] = 'Einf\u00fchrung in die Molek\u00fclorbitaltheorie (MO)';
catalog['Intro to multiplication'] = 'Einf\u00fchrung in die Multiplikation';
catalog['Intro to multiplying decimals'] = 'Einf\u00fchrung in die Multiplikation von Dezimalzahlen';
catalog['Intro to our exercise available at: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition'] = 'Einf\u00fchrung zu unserer \u00dcbung unter: http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/e/one_step_equation_intuition';
catalog['Intro to percentages'] = 'Einf\u00fchrung in die Prozentrechnung';
catalog['Intro to programming'] = 'Einf\u00fchrung in das Programmieren';
catalog['Intro to springs and Hooke\'s law'] = 'Intro to springs and Hooke\'s law';
catalog['Intro to the endocrine system'] = 'Intro to the endocrine system';
catalog['Introduces the concept of equivalent fractions'] = 'Einf\u00fchrung ins Konzept der \u00c4quivalente Br\u00fcche';
catalog['Introducing key concepts using physical analogies'] = 'Einf\u00fchrung von Schl\u00fcsselkonzepten durch Verwendung physikalischer Analogien';
catalog['Introducing the idea of an angle between two vectors'] = 'Einf\u00fchrung der Idee eines Winkels zwischen zwei Vektoren';
catalog['Introducing the shell method for rotation around a vertical line.'] = 'Introducing the shell method for rotation around a vertical line.';
catalog['Introduction  to collateralized debt obligations (to be listen to after series on mortgage-backed securities.'] = 'Introduction  to collateralized debt obligations (to be listen to after series on mortgage-backed securities.';
catalog['Introduction & big ideas'] = 'Introduction & big ideas';
catalog['Introduction '] = 'Introduction ';
catalog['Introduction and examples of variables, expressions and equations'] = 'Einf\u00fchrung und Beispiele f\u00fcr Variablen, Ausdr\u00fccke und Gleichungen';
catalog['Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.'] = 'Einf\u00fchrung zu linearen homogenen Differenzialgleichungen 2. Ordnung mit konstanten Koeffizienten.';
catalog['Introduction to 45-45-90 Triangles'] = 'Einf\u00fchrung in 45-45-90 Dreiecke';
catalog['Introduction to Accounts Payable'] = 'Introduction to Accounts Payable';
catalog['Introduction to Archimedes\' principle and buoyant force.'] = 'Introduction to Archimedes\' principle and buoyant force.';
catalog['Introduction to Astrophysics'] = 'Introduction to Astrophysics';
catalog['Introduction to Bayes\' Theorem'] = 'Einf\u00fchrung in den Satz von Bayes';
catalog['Introduction to Channel Capacity & Message Space'] = 'Einf\u00fchrung in die Kanalkapazit\u00e4t & Nachrichtenraum';
catalog['Introduction to Charge and Coulomb\'s Law (video from May 2008 that I forgot to upload)'] = 'Einf\u00fchrung in die Ladung und das Coulombsche Gesetz (Video von Mai 2008, das ich vergessen habe, hochzuladen)';
catalog['Introduction to Chirality'] = 'Einf\u00fchrung zum Thema Chiralit\u00e4t';
catalog['Introduction to Contemporary Art'] = 'Introduction to Contemporary Art';
catalog['Introduction to Cosmology'] = 'Introduction to Cosmology';
catalog['Introduction to Cultures and Religions for the study of AP Art History'] = 'Introduction to Cultures and Religions for the study of AP Art History';
catalog['Introduction to Euclidean geometry'] = 'Einf\u00fchrung in die Euklidische Geometrie';
catalog['Introduction to Exponential Decay'] = 'Einf\u00fchrung in den exponentiellen Zerfall';
catalog['Introduction to Function Inverses'] = 'Einf\u00fchrung von Umkehrfunktionen';
catalog['Introduction to Hooke\'s Law'] = 'Einf\u00fchrung in das Hookesche Gesetz';
catalog['Introduction to Kelvin.  Example of a problem involving the ideal gas law'] = 'Introduction to Kelvin.  Example of a problem involving the ideal gas law';
catalog['Introduction to L\'H\u00f4pital\'s Rule'] = 'Einf\u00fchrung zur H\u00f4pital\'schen Regel';
catalog['Introduction to Markov chains'] = 'Einf\u00fchrung in die Markov-Ketten';
catalog['Introduction to Newton\'s law of gravitation'] = 'Introduction to Newton\'s law of gravitation';
catalog['Introduction to Open-Ended Mutual Funds'] = 'Einf\u00fchrung in offene Investmentfonds';
catalog['Introduction to Parametrizing a Surface with Two Parameters'] = 'Introduction to Parametrizing a Surface with Two Parameters';
catalog['Introduction to Poisson Processes and the Poisson Distribution.'] = 'Einf\u00fchrung in Poisson-Prozesse und die Poisson-Verteilung.';
catalog['Introduction to Roth IRA\'s'] = 'Introduction to Roth IRA\'s';
catalog['Introduction to SAM'] = 'Introduction to SAM';
catalog['Introduction to Sn1 reactions'] = 'Einf\u00fchrung in die Sn1-Reaktionen';
catalog['Introduction to Symbol Rate (Baud)'] = 'Einf\u00fchrung in die Symbolrate (Baud)';
catalog['Introduction to Thresholds of Increasing Complexity '] = 'Introduction to Thresholds of Increasing Complexity ';
catalog['Introduction to Twentieth-Century Art'] = 'Introduction to Twentieth-Century Art';
catalog['Introduction to a key result in elementary number theory using a visualization with beads'] = 'Einf\u00fchrung in ein zentrales Resultat der elementaren Zahlentheorie, dargestellt mit Perlen';
catalog['Introduction to addition. Multiple visual ways to represent addition.'] = 'Einf\u00fchrung in die Addition. Mehrere visuelle Arten, um Addition darzustellen.';
catalog['Introduction to algebra'] = 'Einf\u00fchrung in die Algebra';
catalog['Introduction to amortization'] = 'Introduction to amortization';
catalog['Introduction to angles (old)'] = 'Einf\u00fchrung in Winkel (alt)';
catalog['Introduction to area and unit squares'] = 'Einf\u00fchrung in Fl\u00e4cheninhalt und Einheitsquadrate';
catalog['Introduction to averages and algebra problems involving averages.'] = 'Einf\u00fchrung in die Durchschnittswerte und Algebra Probleme im Zusammenhang mit Durchschnittswerten.';
catalog['Introduction to bacteria'] = 'Einf\u00fchrung zu Bakterien';
catalog['Introduction to balance sheets'] = 'Introduction to balance sheets';
catalog['Introduction to bank notes (which you are more familiar with than you realize).'] = 'Introduction to bank notes (which you are more familiar with than you realize).';
catalog['Introduction to bankruptcy liquidation (Chapter 7)'] = 'Introduction to bankruptcy liquidation (Chapter 7)';
catalog['Introduction to basic algebraic equations of the form Ax=B'] = 'Einf\u00fchrung in grundlegende algebraische Gleichungen der Form Ax = B';
catalog['Introduction to biology'] = 'Introduction to biology';
catalog['Introduction to blended learning'] = 'Introduction to blended learning';
catalog['Introduction to bonds'] = 'Introduction to bonds';
catalog['Introduction to cellular respiration'] = 'Einf\u00fchrung in die Zellatmung';
catalog['Introduction to cellular respiration, glycolysis, the Kreb\'s Cycle, and the electron transport chain'] = 'Einf\u00fchrung in Zellatmung, Glykolyse, Krebszyklus (Citratzyklus) und die Elektronentransportkette';
catalog['Introduction to channel capacity'] = 'Einf\u00fchrung in die Kanalkapazit\u00e4t';
catalog['Introduction to chirality'] = 'Einf\u00fchrung zum Thema Chiralit\u00e4t';
catalog['Introduction to coding theory!'] = 'Einf\u00fchrung in die Kodierungstheorie!';
catalog['Introduction to combinations'] = 'Einf\u00fchrung Kombinationen';
catalog['Introduction to complex numbers'] = 'Einf\u00fchrung in die komplexen Zahlen';
catalog['Introduction to compositions of Linear Transformations'] = 'Introduction to compositions of Linear Transformations';
catalog['Introduction to compound interest and e'] = 'Eine Einf\u00fchrung in Zinseszins';
catalog['Introduction to compound interest'] = 'Einf\u00fchrung in Zins und Zinseszins';
catalog['Introduction to conditional probability'] = 'Einf\u00fchrung in die bedingte Wahrscheinlichkeit';
catalog['Introduction to conic sections'] = 'Einf\u00fchrung in Kegelschnitte';
catalog['Introduction to conjugate acids and bases'] = 'Einf\u00fchrung in das Konjugieren von S\u00e4uren und Basen';
catalog['Introduction to conservation science'] = 'Introduction to conservation science';
catalog['Introduction to credit default swaps and why they can be dangerous'] = 'Einf\u00fchrung in Credit Default Swaps und warum sie gef\u00e4hrlich sein k\u00f6nnen';
catalog['Introduction to credit default swaps'] = 'Einf\u00fchrung in Credit Default Swaps';
catalog['Introduction to definite integrals'] = 'Einf\u00fchrung in bestimmte Integrale';
catalog['Introduction to dependent probability'] = 'Einf\u00fchrung in die bedingte Wahrscheinlichkeit';
catalog['Introduction to derivatives'] = 'Einf\u00fchrung in Derivate';
catalog['Introduction to descriptive statistics and central tendency.  Ways to measure the average of a set: median, mean, mode'] = 'Einf\u00fchrung in die beschreibende Statistik und Lagema\u00dfe.  Methoden zur Ermittlung von durchschnittlichen Werts: Mittelwert, Median, Modalwert';
catalog['Introduction to differential calculus'] = 'Einf\u00fchrung in die Differentialrechnung';
catalog['Introduction to division'] = 'Einf\u00fchrung in die division';
catalog['Introduction to economics'] = 'Einf\u00fchrung in die Wirtschaft';
catalog['Introduction to eigenvalues and eigenvectors'] = 'Einf\u00fchrung in Eigenwerte und Eigenvektoren';
catalog['Introduction to electric potential'] = 'Introduction to electric potential';
catalog['Introduction to electricity, circuits, current and resistance'] = 'Einf\u00fchrung in Elektrizit\u00e4t, Schaltungen, Strom und Widerstand';
catalog['Introduction to enzymes and catalysis'] = 'Introduction to enzymes and catalysis';
catalog['Introduction to equivalent fractions'] = 'Einf\u00fchrung in gleichwertige Br\u00fcche';
catalog['Introduction to evolution and natural selection'] = 'Einf\u00fchrung in die Evolution und die nat\u00fcrliche Selektion';
catalog['Introduction to evolution, variation in a population and natural selection'] = 'Einf\u00fchrung in Evolution, Variationen innerhalb einer Population und nat\u00fcrliche Selektion';
catalog['Introduction to exponent rules'] = 'Einf\u00fchrung in Potenzregeln';
catalog['Introduction to exponential decay'] = 'Introduction to exponential decay';
catalog['Introduction to exponents'] = 'Einf\u00fchrung in Exponenten';
catalog['Introduction to first order homogenous equations.'] = 'Einf\u00fchrung zu homogenen Gleichungen erster Ordnung.';
catalog['Introduction to fractions'] = 'Einf\u00fchrung in die Bruchrechnung';
catalog['Introduction to function composition'] = 'Einf\u00fchrung in die Funktionszusammensetzung';
catalog['Introduction to function inverses'] = 'Einf\u00fchrung von Umkehrfunktionen';
catalog['Introduction to geology'] = 'Introduction to geology';
catalog['Introduction to government debt and treasuries. What it means when we say that Federal Reserve Notes are issued by the Reserve bank but are an obligation of the Government.'] = 'Introduction to government debt and treasuries. What it means when we say that Federal Reserve Notes are issued by the Reserve bank but are an obligation of the Government.';
catalog['Introduction to gravity'] = 'Introduction to gravity';
catalog['Introduction to half-life'] = 'Einf\u00fchrung in Halbwertszeiten';
catalog['Introduction to harmonic motion'] = 'Introduction to harmonic motion';
catalog['Introduction to health care in the U.S.'] = 'Introduction to health care in the U.S.';
catalog['Introduction to helper T cells and their role in activating B cells'] = 'Einf\u00fchrung in die Aufgabe der T-Helferzellen bei der Aktivierung von B-Zellen';
catalog['Introduction to heredity'] = 'Einf\u00fchrung in die Vererbung';
catalog['Introduction to how banks make money and the value they (potentially) add to society.'] = 'Einf\u00fchrung dazu, wie Banken Geld machen und den Wert, den sie (m\u00f6glicherweise) zur Gesellschaft beitragen.';
catalog['Introduction to how exchange rates can fluctuate'] = 'Introduction to how exchange rates can fluctuate';
catalog['Introduction to i and imaginary numbers'] = 'Einf\u00fchrung in i und imagin\u00e4re Zahlen';
catalog['Introduction to improper integrals'] = 'Einf\u00fchrung in die unechten integrale';
catalog['Introduction to independent events and frequency analysis using histograms.\n'] = 'Introduction to independent events and frequency analysis using histograms.\n';
catalog['Introduction to inflation'] = 'Introduction to inflation';
catalog['Introduction to intaglio'] = 'Introduction to intaglio';
catalog['Introduction to interest'] = 'Einf\u00fchrung in den Zins';
catalog['Introduction to ionic, covalent, polar covalent and metallic bonds.'] = 'Einf\u00fchrung in ionische, kovalente, polarkovalente und Metallbindungen.';
catalog['Introduction to kinetics'] = 'Introduction to kinetics';
catalog['Introduction to l\'H\u00f4pital\'s rule'] = 'Einf\u00fchrung zur H\u00f4pital\'schen Regel';
catalog['Introduction to lab values and normal ranges'] = 'Introduction to lab values and normal ranges';
catalog['Introduction to lattice multiplication'] = 'Einf\u00fchrung in die Gitter-Multiplikation';
catalog['Introduction to light'] = 'Introduction to light';
catalog['Introduction to limits'] = 'Einf\u00fchrung zu Grenzwerten';
catalog['Introduction to linear dependence and independence'] = 'Einf\u00fchrung in lineare Abh\u00e4ngigkeit und Unabh\u00e4ngigkeit';
catalog['Introduction to linear independence'] = 'Einf\u00fchrung in lineare Unabh\u00e4ngigkeit';
catalog['Introduction to linear subspaces of Rn'] = 'Einf\u00fchrung in lineare Unterr\u00e4ume von Rn';
catalog['Introduction to linear transformations'] = 'Einf\u00fchrung in lineare Transformationen';
catalog['Introduction to lithography'] = 'Introduction to lithography';
catalog['Introduction to logarithm properties (part 2)'] = 'Einf\u00fchrung in die Eigenschaften von Logarithmen (Teil 2)';
catalog['Introduction to logarithm properties'] = 'Einf\u00fchrung in die Eigenschaften von Logarithmen';
catalog['Introduction to long division'] = 'Einf\u00fchrung in die lange Division';
catalog['Introduction to magnetism'] = 'Introduction to magnetism';
catalog['Introduction to mechanical advantage'] = 'Introduction to mechanical advantage';
catalog['Introduction to molecular and empirical formulas.  Calculating molecular mass.'] = 'Einf\u00fchrung in molekulare und empirische Formeln. Berechnung der molaren Masse.';
catalog['Introduction to moments'] = 'Introduction to moments';
catalog['Introduction to momentum'] = 'Introduction to momentum';
catalog['Introduction to mortgage loans'] = 'Einf\u00fchrung in Hypotheken-Darlehen';
catalog['Introduction to multiplication'] = 'Einf\u00fchrung in die Multiplikation';
catalog['Introduction to negative exponents'] = 'Einf\u00fchrung in negative Exponenten';
catalog['Introduction to neural cell types'] = 'Introduction to neural cell types';
catalog['Introduction to order of operations'] = 'Einf\u00fchrung in die Reihenfolge der Rechenoperationen';
catalog['Introduction to orthonormal bases'] = 'Introduction to orthonormal bases';
catalog['Introduction to pH, pOH, and pKw'] = 'Einf\u00fchrung in pH, pOH und pKw';
catalog['Introduction to parametric equations'] = 'Einf\u00fchrung in parametrische Gleichungen';
catalog['Introduction to parametrizing a surface with two parameters'] = 'Introduction to parametrizing a surface with two parameters';
catalog['Introduction to partial derivatives.'] = 'Einf\u00fchrung in die partiellen Ableitungen.';
catalog['Introduction to partial fraction expansion'] = 'Einf\u00fchrung in die Partialbruchzerlegung';
catalog['Introduction to perimeter'] = 'Einf\u00fchrung in den Umfang';
catalog['Introduction to permutations'] = 'Einf\u00fchrung von Permutationen';
catalog['Introduction to place value'] = 'Einf\u00fchrung in den Stellenwert';
catalog['Introduction to polar coordinates'] = 'Einf\u00fchrung in Polarkoordinaten';
catalog['Introduction to present value'] = 'Introduction to present value';
catalog['Introduction to price and market capitalization'] = 'Einf\u00fchrung in Preis und Marktkapitalisierung';
catalog['Introduction to price elasticity of demand'] = 'Einf\u00fchrung in die Preiselastizit\u00e4t der Nachfrage';
catalog['Introduction to printmaking'] = 'Introduction to printmaking';
catalog['Introduction to probability distributions, center, spread, and overall shape. In this warmup we will discover the binomial distribution!'] = 'Introduction to probability distributions, center, spread, and overall shape. In this warmup we will discover the binomial distribution!';
catalog['Introduction to probability.  Independent and dependent events.  Compound events.  Mutual exclusive events.  Addition rule for probability.'] = 'Einf\u00fchrung in die Wahrscheinlichkeitsrechnung.  Abh\u00e4ngige und unabh\u00e4ngige Ereignisse.  Verkn\u00fcpfte Ereignisse.  Sich ausschlie\u00dfende Ereignisse.  Summenregel f\u00fcr die Wahrscheinlichkeit.';
catalog['Introduction to programming'] = 'Introduction to programming';
catalog['Introduction to programs, data types, and variables'] = 'Einf\u00fchrung: Programme, Datentypen und Variablen';
catalog['Introduction to projections'] = 'Introduction to projections';
catalog['Introduction to pulleys and wedges'] = 'Introduction to pulleys and wedges';
catalog['Introduction to radians'] = 'Einf\u00fchrung in das Bogenma\u00df';
catalog['Introduction to random primality tests & how they will work (warm up).'] = 'Einf\u00fchrung in zuf\u00e4llige Primzahltestes und wie sie funktionieren (zum Aufw\u00e4rmen).';
catalog['Introduction to random sampling (also known as the weak law of large numbers)'] = 'Introduction to random sampling (also known as the weak law of large numbers)';
catalog['Introduction to random sampling'] = 'Introduction to random sampling';
catalog['Introduction to random variables and probability distribution functions.'] = 'Einf\u00fchrung in Zufallsvariabeln und Wahrscheinlichkeitsdichte-Funktionen.';
catalog['Introduction to random variables'] = 'Einf\u00fchrung in Zufallsvariabeln';
catalog['Introduction to rational and irrational numbers'] = 'Einf\u00fchrung in rationale und irrationale Zahlen';
catalog['Introduction to ratios'] = 'Einf\u00fchrung in Verh\u00e4ltniszahlen';
catalog['Introduction to recursion.'] = 'Einf\u00fchrung in die Rekursion.';
catalog['Introduction to relief printmaking'] = 'Introduction to relief printmaking';
catalog['Introduction to remainders'] = 'Einf\u00fchrung in Reste';
catalog['Introduction to return on capital and cost of capital.  Using these concepts to decide where to invest.'] = 'Introduction to return on capital and cost of capital.  Using these concepts to decide where to invest.';
catalog['Introduction to scientific notation'] = 'Einf\u00fchrung in die wissenschaftliche Schreibweise';
catalog['Introduction to scientific notation.  An in-depth discussion about why and how scientific notation is used.'] = 'Einf\u00fchrung in die wissenschaftliche Schreibweise.  Eine eingehende Diskussion dar\u00fcber, warum und wie die wissenschaftliche Schreibweise verwendet wird.';
catalog['Introduction to separable differential equations.'] = 'Einf\u00fchrung zu trennbaren Differenzialgleichungen.';
catalog['Introduction to significant figures'] = 'Einf\u00fchrung in signifikante Stellen';
catalog['Introduction to similar triangles'] = 'Einf\u00fchrung in \u00e4hnliche Dreiecke';
catalog['Introduction to simple machines, mechanical advantage and moments.'] = 'Introduction to simple machines, mechanical advantage and moments.';
catalog['Introduction to statistics'] = 'Einf\u00fchrung in die Statistik';
catalog['Introduction to stocks'] = 'Einf\u00fchrung in Aktien';
catalog['Introduction to subtraction'] = 'Einf\u00fchrung in die Subtraktion';
catalog['Introduction to surjective and injective functions'] = 'Einf\u00fchrung in surjektive und injektive Funktionen';
catalog['Introduction to tension (part 2)'] = 'Introduction to tension (part 2)';
catalog['Introduction to tension'] = 'Introduction to tension';
catalog['Introduction to the Atom'] = 'Einf\u00fchrung zum Atom';
catalog['Introduction to the Black-Scholes formula'] = 'Introduction to the Black-Scholes formula';
catalog['Introduction to the Carnot cycle and Carnot heat engine'] = 'Introduction to the Carnot cycle and Carnot heat engine';
catalog['Introduction to the Circle'] = 'Einf\u00fchrung in den Kreis';
catalog['Introduction to the Convolution'] = 'Introduction to the Convolution';
catalog['Introduction to the Dirac Delta Function'] = 'Introduction to the Dirac Delta Function';
catalog['Introduction to the Doppler Effect'] = 'Einf\u00fchrung in den Doppler-Effekt';
catalog['Introduction to the Epsilon Delta Definition of a Limit.'] = 'Einf\u00fchrung in die Epsilon-Delta Definition einer Schranke.';
catalog['Introduction to the FAFSA'] = 'Introduction to the FAFSA';
catalog['Introduction to the Fibonacci Sequence and a programming challenge'] = 'Einf\u00fchrung in die Fibonacci-Folge und eine Programmier-Challenge';
catalog['Introduction to the Investment/Savings curve'] = 'Introduction to the Investment/Savings curve';
catalog['Introduction to the Laplace Transform'] = 'Einf\u00fchrung zur Laplace Transformation';
catalog['Introduction to the Law of Supply'] = 'Einf\u00fchrung in das Gesetz des Angebotes';
catalog['Introduction to the Lego NXT environment and what it is capable of. We begin with a few mini projects.'] = 'Introduction to the Lego NXT environment and what it is capable of. We begin with a few mini projects.';
catalog['Introduction to the Lego NXT robotics platform'] = 'Introduction to the Lego NXT robotics platform';
catalog['Introduction to the Line Integral'] = 'Introduction to the Line Integral';
catalog['Introduction to the Protestant Reformation: Martin Luther (part 2)'] = 'Introduction to the Protestant Reformation: Martin Luther (part 2)';
catalog['Introduction to the Protestant Reformation: Setting the stage (part 1)'] = 'Introduction to the Protestant Reformation: Setting the stage (part 1)';
catalog['Introduction to the Protestant Reformation: The Counter-Reformation (part 4)'] = 'Introduction to the Protestant Reformation: The Counter-Reformation (part 4)';
catalog['Introduction to the Protestant Reformation: Varieties of Protestantism (part 3)'] = 'Introduction to the Protestant Reformation: Varieties of Protestantism (part 3)';
catalog['Introduction to the Protestant Reformation: \nThe Counter-Reformation (4 of 4)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Introduction to the Protestant Reformation: \nThe Counter-Reformation (4 of 4)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Introduction to the Pythagorean Theorem'] = 'Einf\u00fchrung in den Satz des Pythagoras';
catalog['Introduction to the Pythagorean theorem'] = 'Einf\u00fchrung in den Satz des Pythagoras';
catalog['Introduction to the U.S. health care system'] = 'Introduction to the U.S. health care system';
catalog['Introduction to the atom'] = 'Einf\u00fchrung zum Atom';
catalog['Introduction to the binomial distribution'] = 'Einf\u00fchrung in die Binomialverteilung';
catalog['Introduction to the center of mass'] = 'Einf\u00fchrung in den Massenschwerpunkt';
catalog['Introduction to the central limit theorem and the sampling distribution of the mean'] = 'Einf\u00fchrung in den zentralen Grenzwertsatz und die Verteilung von Stichproben-Mittelwerten';
catalog['Introduction to the circulatory system and the heart'] = 'Einf\u00fchrung ins Kreislaufsystem und Herz';
catalog['Introduction to the column space of a matrix'] = 'Introduction to the column space of a matrix';
catalog['Introduction to the concept of a mole.  Universal gas constant R.  PV=nRT'] = 'Introduction to the concept of a mole.  Universal gas constant R.  PV=nRT';
catalog['Introduction to the convolution'] = 'Introduction to the convolution';
catalog['Introduction to the cross product'] = 'Einf\u00fchrung in das Kreuzprodukt';
catalog['Introduction to the curl of a vector field'] = 'Introduction to the curl of a vector field';
catalog['Introduction to the divergence of a vector field.'] = 'Einf\u00fchrung in die Divergenz eines Vektorfeldes.';
catalog['Introduction to the doppler effect'] = 'Introduction to the doppler effect';
catalog['Introduction to the double integral'] = 'Einf\u00fchrung in die Doppelintegrale';
catalog['Introduction to the ellipse.'] = 'Einf\u00fchrung in die Ellipse.';
catalog['Introduction to the first two logarithm properties.'] = 'Einf\u00fchrung in die beiden ersten Eigenschaften von Logarithmen.';
catalog['Introduction to the foci (focuses) of a hyperbola'] = 'Einf\u00fchrung in die Brennpunkte eine Hyperbel';
catalog['Introduction to the geologic time chart'] = 'Introduction to the geologic time chart';
catalog['Introduction to the gradient'] = 'Einf\u00fchrung zum Gradienten';
catalog['Introduction to the hyperbola'] = 'Einf\u00fchrung in Hyperberln';
catalog['Introduction to the idea of a reserve bank.'] = 'Introduction to the idea of a reserve bank.';
catalog['Introduction to the idea that one can find a line that minimizes the squared distances to the points'] = 'Einf\u00fchrung in die Idee, dass man eine Linie finden kann, die die quadrierten Abst\u00e4nde zu den Punkten minimiert';
catalog['Introduction to the income statement of a bank (and to income statements in general).'] = 'Einf\u00fchrung in die Gewinn- und Verlustrechnung einer Bank (und allgemein Gewinn- und Verlustrechnungen).';
catalog['Introduction to the income statement'] = 'Introduction to the income statement';
catalog['Introduction to the intuition behind limits'] = 'Einf\u00fchrung in die Intuition hinter Grenzwerten';
catalog['Introduction to the inverse of a function'] = 'Einf\u00fchrung von Umkehrfunktionen';
catalog['Introduction to the inverse trig function arcsin'] = 'Einf\u00fchrung der trigonometrischen Umkehrfunktion arcsin';
catalog['Introduction to the law of large numbers'] = 'Einf\u00fchrung in das Gesetz der gro\u00dfen Zahlen';
catalog['Introduction to the line integral'] = 'Introduction to the line integral';
catalog['Introduction to the marginal propensity to consume and the multiplier'] = 'Einf\u00fchrung in die marginale Konsumquote und den Multiplikator';
catalog['Introduction to the matrix'] = 'Einf\u00fchrung in die Matrix';
catalog['Introduction to the multiplication tables from 2-9.'] = 'Einf\u00fchrung in das Einmaleins von 2-9.';
catalog['Introduction to the neuron and its anatomy'] = 'Einf\u00fchrung in das Neuron und seine Anatomie';
catalog['Introduction to the normal distribution'] = 'Einf\u00fchrung in die Normalverteilung';
catalog['Introduction to the notion of vector transformations'] = 'Introduction to the notion of vector transformations';
catalog['Introduction to the null space of a matrix'] = 'Introduction to the null space of a matrix';
catalog['Introduction to the price-to-earnings ratio'] = 'Introduction to the price-to-earnings ratio';
catalog['Introduction to the quadratic equation'] = 'Einf\u00fchrung in die quadratische Gleichung';
catalog['Introduction to the rover\'s arm<br>'] = 'Introduction to the rover\'s arm<br>';
catalog['Introduction to the states or phases of matter.'] = 'Einf\u00fchrung in die Zust\u00e4nde oder Phasen der Materie.';
catalog['Introduction to the study of moving fluids.'] = 'Introduction to the study of moving fluids.';
catalog['Introduction to the surface integral'] = 'Introduction to the surface integral';
catalog['Introduction to the treasury yield curve.'] = 'Introduction to the treasury yield curve.';
catalog['Introduction to the triple integral'] = 'Introduction to the triple integral';
catalog['Introduction to the unit step function and its Laplace Transform'] = 'Einf\u00fchrung zur Sprungfunktion und ihrer Laplace Transformation';
catalog['Introduction to the vector dot product.'] = 'Introduction to the vector dot product.';
catalog['Introduction to the yield curve'] = 'Einf\u00fchrung in die Renditekurve';
catalog['Introduction to torque'] = 'Introduction to torque';
catalog['Introduction to traditional IRA\'s (Individual Retirement Accounts)'] = 'Introduction to traditional IRA\'s (Individual Retirement Accounts)';
catalog['Introduction to transverse and longitudinal waves'] = 'Introduction to transverse and longitudinal waves';
catalog['Introduction to trig substitution'] = 'Einf\u00fchrung in die trigonometrische Substitution';
catalog['Introduction to trigonometry'] = 'Einf\u00fchrung in die Trigonometrie';
catalog['Introduction to using the periodic table to determine electron configurations'] = 'Einf\u00fchrung in die Verwendung des Periodensystems um Elektronenkonfigurationen zu bestimmen';
catalog['Introduction to using the quadratic equation to solve 2nd degree polynomial equations'] = 'Einf\u00fchrung in die Verwendung quadratischer Gleichungen zur L\u00f6sung polynomialer Gleichungen zweiten Grades';
catalog['Introduction to using the quadratic formula.'] = 'Einf\u00fchrung in die Benutzung der quadratischen L\u00f6sungsformel.';
catalog['Introduction to vectors and scalars'] = 'Einf\u00fchrung in Vektoren und Skalare';
catalog['Introduction to vertical angles'] = 'Introduction to vertical angles';
catalog['Introduction to viruses'] = 'Einf\u00fchrung in Viren';
catalog['Introduction to waves'] = 'Introduction to waves';
catalog['Introduction to what it means for triangles to be similar'] = 'Einf\u00fchrung in was es hei\u00dft wenn Dreiecke \u00e4hnlich sind';
catalog['Introduction to why we would need RSA'] = 'Einf\u00fchrung in den Bedarf von RSA';
catalog['Introduction to work and energy'] = 'Einf\u00fchrung in Arbeit und Energie';
catalog['Introduction'] = 'Einf\u00fchrung';
catalog['Introductory combination problems'] = 'Introductory combination problems';
catalog['Introductory permutation problems.'] = 'Introductory permutation problems.';
catalog['Intuition (but not a proof) of the Squeeze Theorem.'] = 'Intuition (aber kein Beweis) des Squeeze-Theorems.';
catalog['Intuition as to why high real interest rates lead to low investment and why low rates lead to high investment'] = 'Intuition as to why high real interest rates lead to low investment and why low rates lead to high investment';
catalog['Intuition as to why subtracting a negative number is equivalent to adding the absolute value of that number'] = 'Intuition, warum das Subtrahieren einer negativen Zahl gleich dem Hinzuf\u00fcgen der absolute Wert dieser Zahl ist';
catalog['Intuition as to why we go no net flux in the last worked example'] = 'Intuition as to why we go no net flux in the last worked example';
catalog['Intuition behind the Divergence Theorem in three dimensions'] = 'Das Gesp\u00fcr hinter dem Divergenzsatz in drei Dimensionen';
catalog['Intuition behind the Mean Value Theorem'] = 'Idee hinter der Mittelwerteigenschaft der Differentialrechnung';
catalog['Intuition behind the ideal gas equation: PV=nRT.'] = 'Verst\u00e4ndnis der idealen Gasgleichung: PV = nRT.';
catalog['Intuition behind the motion of a mass on a spring (some calculus near the end).'] = 'Intuition behind the motion of a mass on a spring (some calculus near the end).';
catalog['Intuition behind the triangle inequality theorem'] = 'Intuition behind the triangle inequality theorem';
catalog['Intuition behind why binomial expansion involves combinatorics'] = 'Intuition behind why binomial expansion involves combinatorics';
catalog['Intuition behind why spontaneity is driven by enthalpy, entropy and temperature.  Introduction to Gibbs free energy.'] = 'Intuition behind why spontaneity is driven by enthalpy, entropy and temperature.  Introduction to Gibbs free energy.';
catalog['Intuition behind why the current account and capital account should balance'] = 'Intuition behind why the current account and capital account should balance';
catalog['Intuition for second fundamental theorem of calculus'] = 'Gesp\u00fcr f\u00fcr zweiten fundamentalen Satz der Analysis';
catalog['Intuition of how gases generate pressure in a container and why pressure x volume is proportional to the combined kinetic energy of the molecules in the volume.'] = 'Wie Gase Druck in einem Beh\u00e4lter erzeugen und warum Druck x Volumen proportional zu der kombinierten kinetischen Energie der Molek\u00fcle im Volumen ist.';
catalog['Intuition of the gradient of a scalar field (temperature in a room) in 3 dimensions.'] = 'Intuition of the gradient of a scalar field (temperature in a room) in 3 dimensions.';
catalog['Intuition on static and kinetic friction comparisons'] = 'Intuition on static and kinetic friction comparisons';
catalog['Intuition on why a^-b = 1/(a^b) (and why a^0 =1)'] = 'Intuition f\u00fcr a^-b = 1/(a^b) (und warum a^ 0 = 1)';
catalog['Intuition why we divide both sides'] = 'Gesp\u00fcr daf\u00fcr bekommen warum wir beide Seiten teilen m\u00fcssen';
catalog['Intuitive connection between binomial expansion and combinatorics'] = 'Intuitive connection between binomial expansion and combinatorics';
catalog['Intuitive understanding of slope example'] = 'Intuitives Verst\u00e4ndnis f\u00fcr Steigungsbeispiel';
catalog['Intuitively drawing the antiderivative of a function'] = 'Intuitives Zeichnen der Stammfunktion einer Funktion';
catalog['Intuitively drawing the derivative of a function'] = 'Intuitives Zeichnen der Ableitung einer Funktion';
catalog['Inverse Laplace examples'] = 'Inverse Laplace examples';
catalog['Inverse Variation Application'] = 'Invertierte Variation Anwendung';
catalog['Inverse cube law (deflection method)'] = 'Inverse cube law (deflection method)';
catalog['Inverse cube law (method of oscillation)'] = 'Inverse cube law (method of oscillation)';
catalog['Inverse functions and transformations'] = 'Inverse functions and transformations';
catalog['Inverse of a 2x2 matrix'] = 'Das Gegenteil einer 2x2 Matrix';
catalog['Inverse of a 3x3 matrix'] = 'Die Inverse einer 3x3 Matrix';
catalog['Inverse property of addition'] = 'Inverse-Eigenschaft der Addition';
catalog['Inverse property of multiplication'] = 'Inverse-Eigenschaft der Multiplikation';
catalog['Inverse tan domain and range'] = 'Inverse tan domain and range';
catalog['Inverse tangent scenario'] = 'Inverse tangent scenario';
catalog['Inverse trig functions'] = 'Inverse trigonometrische Funktionen';
catalog['Inverse trig functions: arccos'] = 'Umkehrfunktionen trigonometrischer Funktionen: arccos';
catalog['Inverse trig functions: arcsin'] = 'Umkehrfunktionen trigonometrischer Funktionen: arcsin';
catalog['Inverse trig functions: arctan'] = 'Umkehrfunktionen trigonometrischer Funktionen: arctan';
catalog['Inverse trig word problems'] = 'Inverse trig word problems';
catalog['Inverse variation application'] = 'Invertierte Variation Anwendung';
catalog['Inverses of linear functions'] = 'Inverse von linearen Funktionen';
catalog['Invertible change of basis matrix'] = 'Invertible change of basis matrix';
catalog['Inverting 3x3 part 1: Calculating matrix of minors and cofactor matrix'] = 'Invertieren einer 3x3 Matrix Teil 1: Berechnung der Minorante und adjungierten Matrix';
catalog['Inverting 3x3 part 2: Determinant and adjugate of a matrix'] = 'Invertieren von 3x3 Teil 2: Determinanten und Adjunkte einer Matrix';
catalog['Inverting a 3x3 matrix'] = 'Invertieren einer 3x3-Matrix';
catalog['Inverting matrices'] = 'Invertieren von Matrizen';
catalog['Investment and consumption'] = 'Investment und Verbrauch';
catalog['Investment and real interest rates'] = 'Investment and real interest rates';
catalog['Investment vehicles'] = 'Anlageinstrumente';
catalog['Investment vehicles, insurance and retirement'] = 'Anlageinstrumente, Versicherung und Rente';
catalog['Investment vs. consumption 1'] = 'Investment vs. consumption 1';
catalog['Investment vs. consumption 2'] = 'Investment vs. consumption 2';
catalog['Ionic, covalent, and metallic bonds'] = 'Ionic, covalent, and metallic bonds';
catalog['Is Mars Really Red?'] = 'Ist Mars Wirklich Rot?';
catalog['Is a vector field "coming together" or "drawing apart" at a given point in space.  The divergence is a vector operator that gives us a scalar value at any point in a vector field.  If it is positive, then we are diverging.  Otherwise, we are converging!'] = 'Is a vector field "coming together" or "drawing apart" at a given point in space.  The divergence is a vector operator that gives us a scalar value at any point in a vector field.  If it is positive, then we are diverging.  Otherwise, we are converging!';
catalog['Is it a coincidence that Africa and South America could fit like puzzle pieces?  Why do earthquakes happen where they do?  What about volcanoes and mountains?  Are all of these ideas linked?  Yes, they are.\n\nThis tutorial on plate-tectonics explains how and why the continents have shifted over time.  In the process, we also explore the structure of the Earth, all the way down to the core.'] = 'Ist es Zufall, dass Afrika und S\u00fcdamerika wie Puzzleteile ineinanderpassen? Warum gibt es Erdbeben in gewissen Gebieten? Wie verh\u00e4lt es sich mit Bergen und Vulkanen? Gibt es da irgendeinen Zusammenhang? Ja, den gibt es.\n\nDieses Tutorial \u00fcber Plattentektonik erkl\u00e4rt, wie und warum die Kontinente sich mit der Zeit verschoben haben. Dabei erforschen wir auch den Aufbau der Erde, bis hinunter zum Erdkern.';
catalog['Is it always better to buy than rent?  What if home prices go up dramatically and rents don\'t?  How can we compare home prices to rents to figure out what to do.\n\nThis older tutorial (low-res, bad handwriting) walks us through this.  It is about housing but similar thinking can be applied to any rent-vs-buy decision (spoiler alert, Sal did eventually buy a home).'] = 'Is it always better to buy than rent?  What if home prices go up dramatically and rents don\'t?  How can we compare home prices to rents to figure out what to do.\n\nThis older tutorial (low-res, bad handwriting) walks us through this.  It is about housing but similar thinking can be applied to any rent-vs-buy decision (spoiler alert, Sal did eventually buy a home).';
catalog['Is limited liability or double taxation fair?'] = 'Is limited liability or double taxation fair?';
catalog['Is matrix multiplication commutative'] = 'Is matrix multiplication commutative';
catalog['Is short selling bad?'] = 'Ist shortselling schlecht?';
catalog['Is the power rule reasonable'] = 'Is the power rule reasonable';
catalog['Is the stimulus large enough to offset the demand shock caused by the contraction in credit?  Will it lead to inflation?'] = 'Is the stimulus large enough to offset the demand shock caused by the contraction in credit?  Will it lead to inflation?';
catalog['Is there a difference between a coinflip and a &quot;random&quot; guess?'] = 'Is there a difference between a coinflip and a &quot;random&quot; guess?';
catalog['Islam, the Quran, and the Five Pillars all without a flamewar'] = 'Der Islam, der Koran und die f\u00fcnf S\u00e4ulen, und das alles ohne Beleidigungen';
catalog['Isoelectric point and zwitterions'] = 'Isoelectric point and zwitterions';
catalog['Isosceles and equilateral triangles'] = 'Gleichschenklige und gleichseitige Dreiecke';
catalog['Isothermic and Adiabatic processes.  Calculating the work done by an isothermic process.  Seeing that it is the same as the heat added.'] = 'Isothermic and Adiabatic processes.  Calculating the work done by an isothermic process.  Seeing that it is the same as the heat added.';
catalog['It can clean a wound or kill your liver.  Some religions ban it, others use it in their sacred rites.  Some of the most stupid acts humanity every committed were done under its influence.  It is even responsible for some of our births.   \n\nIn this tutorial, Sal and Jay name alcohols and discuss their properties.'] = 'It can clean a wound or kill your liver.  Some religions ban it, others use it in their sacred rites.  Some of the most stupid acts humanity every committed were done under its influence.  It is even responsible for some of our births.   \n\nIn this tutorial, Sal and Jay name alcohols and discuss their properties.';
catalog['It is a bit of a downer to think about, but we are all going to die.  Do we care what happens to our loved ones (if they really are "loved" than the answer is obvious).  This tutorial walks us through the options to insure our families against losing us.  The reason why we stuck it in the "investment vehicles" topic is because it can also be an investment that we can use before we die.'] = 'It is a bit of a downer to think about, but we are all going to die.  Do we care what happens to our loved ones (if they really are "loved" than the answer is obvious).  This tutorial walks us through the options to insure our families against losing us.  The reason why we stuck it in the "investment vehicles" topic is because it can also be an investment that we can use before we die.';
catalog['It is no hyperbole  to say that hyperbolas are awesome.  In this tutorial, we look closely at this wacky conic section.  We pay special attention to its graph and equation.'] = 'Es ist keine \u00dcbertreibung zu sagen, dass Hyperbeln fantastisch sind. In diesem Tutorial schauen wir uns diesen verr\u00fcckten Kegelschnitt genauer an. WIr richten unsere Aufmerksamkeit dabei besonders auf seinen Graphen und seine Gleichung.';
catalog['It is sometimes easier to take a double integral (a particular double integral as we\'ll see) over a region and sometimes easier to take a line integral around the boundary.  Green\'s theorem draws the connection between the two so we can go back and forth.  This tutorial proves Green\'s theorem and then gives a few examples of using it.  If you can take line integrals through vector fields, you\'re ready for Mr. Green.'] = 'It is sometimes easier to take a double integral (a particular double integral as we\'ll see) over a region and sometimes easier to take a line integral around the boundary.  Green\'s theorem draws the connection between the two so we can go back and forth.  This tutorial proves Green\'s theorem and then gives a few examples of using it.  If you can take line integrals through vector fields, you\'re ready for Mr. Green.';
catalog['It is starting to dawn on you that negative numbers are incredibly awesome.  So awesome that you are feeling embarrassed to think how excited you are about them!\n\nWell, the journey is just beginning.  In this tutorial we will think about multiplying and dividing numbers throughout the number line!'] = 'Es beginnt dir zu d\u00e4mmern, dass du negative Zahlen gro\u00dfartig findest. So genial, dass du verlegen dar\u00fcber bist, wie aufgeregt du \u00fcber sie bist! Nun, die Reise hat gerade erst angefangen.  In diesem Tutorial werden wir \u00fcber Multiplikation und Division auf dem Zahlenstrahl denken!\n';
catalog['It is starting to dawn on you that negative numbers are incredibly awesome.  So awesome that you are feeling embarrassed to think how excited you are about them!\n\nWell, the journey is just beginning.  In this tutorial we will think about multiplying and dividing numbers throughout the number line!\n\nCommon Core Standards: 7.NS.A.2a, 7.NS.A.2b '] = 'Es beginnt dir zu d\u00e4mmern, dass negative Zahlen beeindruckend sind. So genial, dass es dir schon peinlich ist, wie aufregend du sie findest! \n\nNun, die Reise hat gerade erst angefangen.  In diesem Tutorial werden wir \u00fcber Multiplikation und Division auf dem Zahlenstrahl nachdenken!\n\nCommon Core Standards: 7.NS.A.2a, 7.NS.A.2b';
catalog['It\'s normally a bad idea to hang around with negative people or do negative things, but we think it\'s OK to associate with negative exponents.  And fractional exponents are even more fun.\n\nThis idea will open up entirely new vistas to your mathematical life.  '] = 'Eigentlich ist es eine schlechte Idee mit negativen Menschen oder negativen Dingen zu tun zu haben. Aber wir denken das es in Ordnung geht, wenn du dich mit negativen Exponenten vertraut machst. Und Br\u00fcche als Exponent machen dann nochmal richtig Spa\u00df :-)\n\n\nDiese Ideen werden dir einen vollkommen neuen Einblick in dein mathematisches Leben geben.';
catalog['It\'s normally a bad idea to hang around with negative people or do negative things, but we think it\'s OK to associate with negative exponents.\n\nCommon Core Standards: 8.EE.A.1'] = 'Normalerweise ist es eine schlechte Idee mit negativen Menschen abzuh\u00e4ngen oder negative Dinge zu tun, aber wir denken es ist OK sich mit negativen Exponenten zu assoziieren.\n\nCommon Core Standards: 8.EE.A.1';
catalog['It\'s not nice to force your way into groups.'] = 'It\'s not nice to force your way into groups.';
catalog['It\'s the liger of orbitals and essential to organic chemistry! In this tutorial, Sal discusses the hybridization of orbitals.'] = 'Die Kenntnis von Orbitalen ist essentiell f\u00fcr die organische Chemie! In diesem Tutorial, diskutiert Sal die  Hybridisierung von Orbitalen.';
catalog['It\u2019s hard not to like Rococo art. After all, it\u2019s subjects are often about luxury and pleasure, which makes sense since its patrons were the extremely wealthy French aristocracy. This tutorial features two romantic liaisons\u2014Fragonard\u2019s The Swing and The Meeting, portraits and a mythological subject, \u201cVenus Consoling Love.\u201d You get the idea.'] = 'It\u2019s hard not to like Rococo art. After all, it\u2019s subjects are often about luxury and pleasure, which makes sense since its patrons were the extremely wealthy French aristocracy. This tutorial features two romantic liaisons\u2014Fragonard\u2019s The Swing and The Meeting, portraits and a mythological subject, \u201cVenus Consoling Love.\u201d You get the idea.';
catalog['Italian and German Empires in 1914. Tsingtao beer.'] = 'Italian and German Empires in 1914. Tsingtao beer.';
catalog['Italian front in World War I'] = 'Italienische Front im 1. Weltkrieg';
catalog['Italy backs out of Triple Alliance'] = 'Italy backs out of Triple Alliance';
catalog['Italy'] = 'Italy';
catalog['Iterative Fibonacci function example'] = 'Iterative Fibonacci function example';
catalog['Ivory panel with Archangel'] = 'Ivory panel with Archangel';
catalog['J. Paul Getty Museum'] = 'J. Paul Getty Museum';
catalog['J. Paul Getty collected primarily Italian Renaissance and Baroque paintings. Since his death in 1976, the collection has broadened. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'J. Paul Getty collected primarily Italian Renaissance and Baroque paintings. Since his death in 1976, the collection has broadened. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['Jackie Winsor, #1 Rope, 1976, wood and hemp, 40-1/4 x 40 x 40 inches  (SFMOMA, San Francisco)\n\nhttp://smarthistory.org/jackie-winsors-1-rope.html'] = 'Jackie Winsor, #1 Rope, 1976, wood and hemp, 40-1/4 x 40 x 40 inches  (SFMOMA, San Francisco)\n\nhttp://smarthistory.org/jackie-winsors-1-rope.html';
catalog['Jackson Pollock'] = 'Jackson Pollock';
catalog['Jackson Pollock, One: Number 31, 1950, Oil and enamel paint on unprimed canvas, 1950 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris'] = 'Jackson Pollock, One: Number 31, 1950, Oil and enamel paint on unprimed canvas, 1950 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris';
catalog['Jacob-Monod: The Lac operon'] = 'Jacob-Monod: The Lac operon';
catalog['Jacopo Tintoretto, Last Supper, 1594, oil on canvas, 12 x 18 feet, 8 inches (San Giorgio Maggiore, Venice) Speakers: Dr. Beth Harris &amp; Dr. Steven Zucker'] = 'Jacopo Tintoretto, Last Supper, 1594, oil on canvas, 12 x 18 feet, 8 inches (San Giorgio Maggiore, Venice) Speakers: Dr. Beth Harris &amp; Dr. Steven Zucker';
catalog['Jacopo Tintoretto, The Finding of the Body of Saint Mark, c. 1562-66, oil on canvas, 396 x 400 cm (Pinacoteca di Brera, Milan)&nbsp;Speakers: Dr. Beth Harris and Dr. Steven Zucker<br>'] = 'Jacopo Tintoretto, The Finding of the Body of Saint Mark, c. 1562-66, oil on canvas, 396 x 400 cm (Pinacoteca di Brera, Milan)&nbsp;Speakers: Dr. Beth Harris and Dr. Steven Zucker<br>';
catalog['Jacopo Tintoretto, The Miracle of the Slave, 1548, oil on canvas, 415 x 541 cm  (Accademia, Venice)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Jacopo Tintoretto, The Miracle of the Slave, 1548, oil on canvas, 415 x 541 cm  (Accademia, Venice)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Jacopo Tintoretto, The Origin of the Milky Way, c. 1575, oil on canvas, 149.4 x 168 cm (The National Gallery, London)'] = 'Jacopo Tintoretto, The Origin of the Milky Way, c. 1575, oil on canvas, 149.4 x 168 cm (The National Gallery, London)';
catalog['Jacques Louis David, an active supporter of the Revolution of 1789, is the star of this tutorial. David served in the revolutionary government, used his art in the service of its cause\u2014and voted to behead King Louis XVI. He captured the patriotism of the revolution\u2019s early phase and later, memorialized its dead heroes. And when the revolution failed, and Napoleon came to power, David used his great talents to present a heroic image of that military general-turned emperor. David invents a new style for the democratic values of the Enlightenment\u2014one that is the very opposite of the luxuriousness of the Rococo\u2014and that looks back to Renaissance and ancient Greek art, hence the name\u2014Neo-Classicism (new classicism).'] = 'Jacques Louis David, an active supporter of the Revolution of 1789, is the star of this tutorial. David served in the revolutionary government, used his art in the service of its cause\u2014and voted to behead King Louis XVI. He captured the patriotism of the revolution\u2019s early phase and later, memorialized its dead heroes. And when the revolution failed, and Napoleon came to power, David used his great talents to present a heroic image of that military general-turned emperor. David invents a new style for the democratic values of the Enlightenment\u2014one that is the very opposite of the luxuriousness of the Rococo\u2014and that looks back to Renaissance and ancient Greek art, hence the name\u2014Neo-Classicism (new classicism).';
catalog['Jacques-Louis David, Oath of the Horatii, oil on canvas, 1784 (Mus\u00e9e du Louvre)'] = 'Jacques-Louis David, Der Schwur der Horatier, \u00d6l auf Leinwand, 1784 (Mus\u00e9e du Louvre)';
catalog['Jacques-Louis David, The Emperor Napoleon in His Study at the Tuileries, 1812, oil on canvas\n80-1/4 x 49-1/4 inches (National Gallery of Art)\n\nFor more videos see http://www.smarthistory.org'] = 'Jacques-Louis David, The Emperor Napoleon in His Study at the Tuileries, 1812, oil on canvas\n80-1/4 x 49-1/4 inches (National Gallery of Art)\n\nFor more videos see http://www.smarthistory.org';
catalog['Jacques-Louis David, The Intervention of the Sabine Women, 1799, Oil on canvas, 12 feet, 8 inches x 17 feet and 3/4 of an inch or 3.85 x 5.22 m (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Jacques-Louis David, The Intervention of the Sabine Women, 1799, Oil on canvas, 12 feet, 8 inches x 17 feet and 3/4 of an inch or 3.85 x 5.22 m (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Jacques-Louis David, The Lictors Returning to Brutus the Bodies of His Sons, 1789, oil on canvas, 10\' 7-1/8" x 13\' 10-1/8" or 3.23 x 4.22m (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Jacques-Louis David, The Lictors Returning to Brutus the Bodies of His Sons, 1789, oil on canvas, 10\' 7-1/8" x 13\' 10-1/8" or 3.23 x 4.22m (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Jade Cong Quiz'] = 'Jade Cong Quiz';
catalog['Jade Cong'] = 'Jade Cong';
catalog['James Garfield\'s proof of the Pythagorean Theorem.'] = 'James Garfields Beweis f\u00fcr den Satz des Pythagoras.';
catalog['James Rosenquist, "F-111," 1964-65'] = 'James Rosenquist, "F-111," 1964-65';
catalog['Jamestown to the Civil War'] = 'Von Jamestown bis zum B\u00fcrgerkrieg';
catalog['Jan Gossaert, Saint Luke Painting the Madonna, c. 1515-25 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Jan Gossaert, Saint Luke Painting the Madonna, c. 1515-25 (Kunsthistorisches Museum, Vienna)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Jan Van Eyck, Portrait of Giovanni Arnolfini and his Wife, tempera and oil on wood, 1434 (National Gallery, London)Speakers: Dr. Beth Harris, Dr. Steven ZuckerFor more: http://www.smarthistory.org/giovanni-arnolfini-and-his-wife.html'] = 'Jan Van Eyck, Portrait of Giovanni Arnolfini and his Wife, tempera and oil on wood, 1434 (National Gallery, London)Speakers: Dr. Beth Harris, Dr. Steven ZuckerFor more: http://www.smarthistory.org/giovanni-arnolfini-and-his-wife.html';
catalog['Jan Vermeer, The Glass of Wine, c. 1661, oil on canvas, 67.7 x 79.6 cm  (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin)'] = 'Jan Vermeer, The Glass of Wine, c. 1661, oil on canvas, 67.7 x 79.6 cm  (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin)';
catalog['Jan van Eyck, Portrait of Giovanni Arnolfini and his Wife'] = 'Jan van Eyck, Portrait of Giovanni Arnolfini and his Wife';
catalog['Jan van Eyck, Portrait of a Man in a Red Turban (Self-Portrait?), 1433'] = 'Jan van Eyck, Portrait of a Man in a Red Turban (Self-Portrait?), 1433';
catalog['Jan van Eyck, The Ghent Altarpiece (open), 1432'] = 'Jan van Eyck, The Ghent Altarpiece (open), 1432';
catalog['Jan van Eyck, The Madonna in the Church'] = 'Jan van Eyck, The Madonna in the Church';
catalog['Jan van Eyck, The Madonna in the Church, c. 1438, oil on oak, 31 x 14 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin). In the Google Art Project: http://www.googleartproject.com/collection/gemaldegalerie/artwork/the-madonna-in-the-church-jan-van-eyck/330338/'] = 'Jan van Eyck, The Madonna in the Church, c. 1438, oil on oak, 31 x 14 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin). In the Google Art Project: http://www.googleartproject.com/collection/gemaldegalerie/artwork/the-madonna-in-the-church-jan-van-eyck/330338/';
catalog['Jan van Huysum, Vase with Flowers, c. 1718-20, oil on canvas, 24 x 31 in.  (61 x 79 cm), (Dulwich Picture Gallery, London)\n\nSpeakers: Pippa Couch, Rachel S. Ropeik'] = 'Jan van Huysum, Vase with Flowers, c. 1718-20, oil on canvas, 24 x 31 in.  (61 x 79 cm), (Dulwich Picture Gallery, London)\n\nSpeakers: Pippa Couch, Rachel S. Ropeik';
catalog['Janna Levin discusses what we know about the Big Bang, and ponders the profound questions that remain.<br>'] = 'Janna Levin discusses what we know about the Big Bang, and ponders the profound questions that remain.<br>';
catalog['Jannis Kounellis, "Da inventare sul posto (To invent on the spot)"'] = 'Jannis Kounellis, "Da inventare sul posto (To invent on the spot)"';
catalog['Japan in World War I'] = 'Japan im 1. Weltkrieg';
catalog['Japan'] = 'Japan';
catalog['Japan: Muromachi to Momoyama period Negoro ware ewer'] = 'Japan: Muromachi to Momoyama period Negoro ware ewer';
catalog['Jason Christiansen - President & CEO of Rigid Industries'] = 'Jason Christiansen - President & CEO of Rigid Industries';
catalog['Jason Christiansen has heard all the familiar comparisons between running a business and being a team player, but as a former major league baseball player, he steps to the plate with a unique perspective. Christiansen talks about building Rigid Industries and how the company deals with imitation product lines and compares the pressure of standing on the mound to standing before his team of employees.'] = 'Jason Christiansen has heard all the familiar comparisons between running a business and being a team player, but as a former major league baseball player, he steps to the plate with a unique perspective. Christiansen talks about building Rigid Industries and how the company deals with imitation product lines and compares the pressure of standing on the mound to standing before his team of employees.';
catalog['Jason Christiansen has heard all the familiar comparisons between running a business and being a team player, but&nbsp;as a former major league baseball player, he steps to the plate with a unique perspective. Christiansen talks about&nbsp;building Rigid Industries and how the company deals with imitation product lines and compares the pressure of&nbsp;<br />\nstanding on the mound to standing before his team of employees.'] = 'Jason Christiansen has heard all the familiar comparisons between running a business and being a team player, but&nbsp;as a former major league baseball player, he steps to the plate with a unique perspective. Christiansen talks about&nbsp;building Rigid Industries and how the company deals with imitation product lines and compares the pressure of&nbsp;<br />\nstanding on the mound to standing before his team of employees.';
catalog['Jasper Johns, Flag, 1954-55'] = 'Jasper Johns, Flag, 1954-55';
catalog['Jawlensky, Young Girl in a Flowered Hat'] = 'Jawlensky, Young Girl in a Flowered Hat';
catalog['Jean (Hans) Arp, Untitled (Collage with Squares Arranged According to the Laws of Chance), mixed media, 1916-17 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris'] = 'Jean (Hans) Arp, Untitled (Collage with Squares Arranged According to the Laws of Chance), mixed media, 1916-17 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris';
catalog['Jean-Auguste-Dominique Ingres, La Grande Odalisque, 1814, Oil on canvas, 36" x 63" (91 x 162 cm), (Mus\u00e9e du Louvre, Paris)'] = 'Jean-Auguste-Dominique Ingres, La Grande Odalisque, 1814, Oil on canvas, 36" x 63" (91 x 162 cm), (Mus\u00e9e du Louvre, Paris)';
catalog['Jean-Auguste-Dominique Ingres, Raphael and the Fornarina, 1814, Oil on canvas, 64.77 x 53.34 cm (25 1/2 x 21 in.) (Fogg Art Museum) \n\nhttp://www.smarthistory.org/raphael-and-the-fornarina.html'] = 'Jean-Auguste-Dominique Ingres, Raphael and the Fornarina, 1814, Oil on canvas, 64.77 x 53.34 cm (25 1/2 x 21 in.) (Fogg Art Museum) \n\nhttp://www.smarthistory.org/raphael-and-the-fornarina.html';
catalog['Jean-Baptiste Carpeaux\u200b, Dance, 1865-69, marble, 420 x 298 cm.\n(Mus\u00e9e d\'Orsay, Paris).\n\nCommissioned by Charles Garnier for the facade of L\'Op\u00e9ra. In 1964 it was replaced by a copy executed by Paul Belmondo.'] = 'Jean-Baptiste Carpeaux\u200b, Dance, 1865-69, marble, 420 x 298 cm.\n(Mus\u00e9e d\'Orsay, Paris).\n\nCommissioned by Charles Garnier for the facade of L\'Op\u00e9ra. In 1964 it was replaced by a copy executed by Paul Belmondo.';
catalog['Jean-Baptiste Greuze was one of the most celebrated draftsmen and painters in France during the 1700s. Paintings curator Scott Schaefer talks about Greuze and his popular images of ordinary lives. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Jean-Baptiste Greuze was one of the most celebrated draftsmen and painters in France during the 1700s. Paintings curator Scott Schaefer talks about Greuze and his popular images of ordinary lives. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Jean-Baptiste Greuze\'s drawings'] = 'Jean-Baptiste Greuze\'s drawings';
catalog['Jean-Fran\u00e7ois Millet (French), L\'Ang\u00e9lus, ca. 1857-1859, oil on canvas, 21 x 26 (53.3 \u00d7 66.0 cm) (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nFor more art history videos, visit Smarthistory.org'] = 'Jean-Fran\u00e7ois Millet (French), L\'Ang\u00e9lus, ca. 1857-1859, oil on canvas, 21 x 26 (53.3 \u00d7 66.0 cm) (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nFor more art history videos, visit Smarthistory.org';
catalog['Jean-Fran\u00e7ois Millet (French), The Gleaners, 1857, oil on canvas, 33 x 43 in (83.5 x 110 cm) (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html'] = 'Jean-Fran\u00e7ois Millet (French), The Gleaners, 1857, oil on canvas, 33 x 43 in (83.5 x 110 cm) (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html';
catalog['Jean-Honor\u00e9 Fragonard, The Progress of Love: The Meeting, 1771-1773, oil on canvas, 317.5 x 243.8 cm (The Frick Collection, New York)'] = 'Jean-Honor\u00e9 Fragonard, The Progress of Love: The Meeting, 1771-1773, oil on canvas, 317.5 x 243.8 cm (The Frick Collection, New York)';
catalog['Jean-Honor\u00e9 Fragonard, The Swing, oil on canvas, 1767 (Wallace Collection, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Jean-Honor\u00e9 Fragonard, The Swing, oil on canvas, 1767 (Wallace Collection, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Jesse Roe and Sal Khan talk about why we use letters in algebra'] = 'Jesse Roe und Sal Khan reden dar\u00fcber warum wir Buchstaben in Algebra benutzen';
catalog['Jesse Roe and Sal talk about the difference between equations and functions'] = 'Jesse Roe und Sal reden \u00fcber den Unterschied zwischen Gleichungen und Funktionen';
catalog['Jessica Yuen'] = 'Jessica Yuen';
catalog['Jeweled upper cover of the Lindau Gospels, c. 880, Court School of Charles the Bald, 350 x 275 mm, cover may have been made in the Royal Abbey of St. Denis (Morgan Library and Museum, New York)\n\nSpeakers: Dr. Nancy Ross and Dr. Steven Zucker'] = 'Jeweled upper cover of the Lindau Gospels, c. 880, Court School of Charles the Bald, 350 x 275 mm, cover may have been made in the Royal Abbey of St. Denis (Morgan Library and Museum, New York)\n\nSpeakers: Dr. Nancy Ross and Dr. Steven Zucker';
catalog['Jim Dine\'s "Poet Singing (The Flowering Sheets):" a documentary'] = 'Jim Dine\'s "Poet Singing (The Flowering Sheets):" a documentary';
catalog['Jogging and walking'] = 'Jogging und Gehen';
catalog['Johannes Vermeer, The Art of Painting'] = 'Johannes Vermeer, The Art of Painting';
catalog['Johannes Vermeer, Woman Holding a Balance, 1664'] = 'Johannes Vermeer, Woman Holding a Balance, 1664';
catalog['Johannes Vermeer, Young Woman with a Water Pitcher, oil on canvas, c. 1662 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris\n\nhttp://smarthistory.org/baroque-holland.html\n\nhttp://smarthistory.org/baroque-holland.html'] = 'Johannes Vermeer, Young Woman with a Water Pitcher, oil on canvas, c. 1662 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris\n\nhttp://smarthistory.org/baroque-holland.html\n\nhttp://smarthistory.org/baroque-holland.html';
catalog['John Baldessari, I Will Not Make Any More Boring Art'] = 'John Baldessari, I Will Not Make Any More Boring Art';
catalog['John Baldessari, I Will Not Make Any More Boring Art, 1971, lithograph, 22-7/16 x 30-1/16 inches (The Museum of Modern Art), images \u00a9 John Baldessari, courtesy of the artist \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'John Baldessari, I Will Not Make Any More Boring Art, 1971, lithograph, 22-7/16 x 30-1/16 inches (The Museum of Modern Art), images \u00a9 John Baldessari, courtesy of the artist \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['John Constable, "The Hay Wain", 1821. Oil on canvas, 51 1/4" x 73" (130.2 x 185.4 cm) (The National Gallery, London)'] = 'John Constable, "The Hay Wain", 1821. Oil on canvas, 51 1/4" x 73" (130.2 x 185.4 cm) (The National Gallery, London)';
catalog['John Constable, View on the Stour near Dedham'] = 'John Constable, View on the Stour near Dedham';
catalog['John Constable, View on the Stour near Dedham, 1822, oil on canvas, 51 x 74 inches (The Huntington Library, Art Collections, and Botanical Gardens, San Marino, CA)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'John Constable, View on the Stour near Dedham, 1822, oil on canvas, 51 x 74 inches (The Huntington Library, Art Collections, and Botanical Gardens, San Marino, CA)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['John Green teaches you about the so-called Dark Ages, which it turns out weren&#39;t as uniformly dark as you may have been led to believe. While Europe was indeed having some issues, many other parts of the world were thriving and relatively enlightened. John covers European Feudalism, the cultural blossoming of the Islamic world, and the scientific and artistic advances in China, all during these &quot;Dark Ages.&quot; Along the way, John will raise questions about the validity of Europe&#39;s status as a continent, reveal the best and worst years of his life, and frankly state that science and religion were once able to coexist.'] = 'John Green teaches you about the so-called Dark Ages, which it turns out weren&#39;t as uniformly dark as you may have been led to believe. While Europe was indeed having some issues, many other parts of the world were thriving and relatively enlightened. John covers European Feudalism, the cultural blossoming of the Islamic world, and the scientific and artistic advances in China, all during these &quot;Dark Ages.&quot; Along the way, John will raise questions about the validity of Europe&#39;s status as a continent, reveal the best and worst years of his life, and frankly state that science and religion were once able to coexist.';
catalog['John Green teaches you the history of the world in 42 episodes of Crash Course. Learn, study and understand all the important civilizations, empires, wars, and revolutions the world has seen so far.'] = 'John Green teaches you the history of the world in 42 episodes of Crash Course. Learn, study and understand all the important civilizations, empires, wars, and revolutions the world has seen so far.';
catalog['John Hegley is one of the UK&#39;s most innovative comic poets with several best-selling volumes of poetry to his name. In this performance, filmed at Tate Britain, he draws connections between his own work and that of painter CRW Nevinson.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.'] = 'John Hegley is one of the UK&#39;s most innovative comic poets with several best-selling volumes of poetry to his name. In this performance, filmed at Tate Britain, he draws connections between his own work and that of painter CRW Nevinson.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.';
catalog['John Humble\'s photographs of Los Angeles'] = 'John Humble\'s photographs of Los Angeles';
catalog['John Resig talks to Sal about the new computer science tools and content on Khan Academy (Available at: http://www.khanacademy.org/cs)'] = 'John Resig spricht mit Sal ueber die neuen Informatiktools und Kurse der Khan Academy (zu hoehren bei: http://khanacademy.org/cs)';
catalog['John Roddam Spencer Stanhope, Thoughts of the Past'] = 'John Roddam Spencer Stanhope, Thoughts of the Past';
catalog['John Roddam Spencer Stanhope, Thoughts of the Past, exhibited 1859, oil on canvas, 864 x 508 mm (Tate Britain, London)'] = 'John Roddam Spencer Stanhope, Thoughts of the Past, exhibited 1859, oil on canvas, 864 x 508 mm (Tate Britain, London)';
catalog['John Singer Sargent, Carnation, Lily, Lily, Rose, 1885-86, oil on canvas, 1740 x 1537 mm (Tate Britain, London)'] = 'John Singer Sargent, Carnation, Lily, Lily, Rose, 1885-86, oil on canvas, 1740 x 1537 mm (Tate Britain, London)';
catalog['John Singleton Copley, A Boy with a Flying Squirrel (Henry Pelham), 1765, 77.15 x 63.82 cm / 30-3/8 x 25-1/8 inches (Museum of Fine Arts, Boston)'] = 'John Singleton Copley, A Boy with a Flying Squirrel (Henry Pelham), 1765, 77.15 x 63.82 cm / 30-3/8 x 25-1/8 inches (Museum of Fine Arts, Boston)';
catalog['Joseph Beuys, Table with Accumulator (Tisch mit Aggregat), 1958-85, Tate Modern, London.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Joseph Beuys, Table with Accumulator (Tisch mit Aggregat), 1958-85, Tate Modern, London.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Joseph Beuys, Table with Accumulator'] = 'Joseph Beuys, Table with Accumulator';
catalog['Joseph Mallord William Turner, Rain, Steam, and Speed -- The Great Western Railway, oil on canvas, 1844 (National Gallery, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nRain, Steam, and Speed -- The Great Western Railway was exhibited at the Royal Academy in 1844. It depicts the Maidenhead Railway Bridge (completed (1838) looking east, across the River Thames\u200b between Taplow and Maidenhead.'] = 'Joseph Mallord William Turner, Rain, Steam, and Speed -- The Great Western Railway, oil on canvas, 1844 (National Gallery, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nRain, Steam, and Speed -- The Great Western Railway was exhibited at the Royal Academy in 1844. It depicts the Maidenhead Railway Bridge (completed (1838) looking east, across the River Thames\u200b between Taplow and Maidenhead.';
catalog['Joseph Mallord William Turner, Slave Ship (Slavers Throwing Overboard the Dead and Dying, Typhoon Coming On), 1840 (Museum of Fine Arts, Boston)\n\nSpeakers: Lori Landay & Beth Harris'] = 'Joseph Mallord William Turner, Slave Ship (Slavers Throwing Overboard the Dead and Dying, Typhoon Coming On), 1840 (Museum of Fine Arts, Boston)\n\nSpeakers: Lori Landay & Beth Harris';
catalog['Journey into Cryptography'] = 'Eine Reise in die Kryptographie';
catalog['Journey into Information Theory'] = 'Reise in die Informatik';
catalog['Journey into cryptography'] = 'Reise in die Kryptographie';
catalog['Journey into information theory'] = 'Reise in die Informationstheorie';
catalog['Judith Leyster, <em>Self-Portrait</em>, c. 1633, oil on canvas, 74.6 x 65.1 cm / 29-3/8 x 25-5/8 inches (National Gallery of Art)<br />\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Judith Leyster, <em>Self-Portrait</em>, c. 1633, oil on canvas, 74.6 x 65.1 cm / 29-3/8 x 25-5/8 inches (National Gallery of Art)<br />\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Judith Leyster, Self-Portrait, c. 1633'] = 'Judith Leyster, Self-Portrait, c. 1633';
catalog['Jusepe (Jos\u00e9) de Ribera, The Martyrdom of Saint Philip, 1639, oil on canvas,\n92 x 92 in. (234 x 234 cm), (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe English Romantic poet, Lord Byron , wrote that the artist, "Spagnoletto [the little Spaniard]\ntainted/His brush with all the blood of all the sainted" (Don Juan , xiii. 71).'] = 'Jusepe (Jos\u00e9) de Ribera, The Martyrdom of Saint Philip, 1639, oil on canvas,\n92 x 92 in. (234 x 234 cm), (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe English Romantic poet, Lord Byron , wrote that the artist, "Spagnoletto [the little Spaniard]\ntainted/His brush with all the blood of all the sainted" (Don Juan , xiii. 71).';
catalog['Just 4 practice sets covering everything you\'ll need to do with fractions.  They may be challenging, but if you can do these then you\'re ready to divide and conquer!  '] = 'Just 4 practice sets covering everything you\'ll need to do with fractions.  They may be challenging, but if you can do these then you\'re ready to divide and conquer!  ';
catalog['Just 500 years ago, humans lived in four separate world zones, each with distinct cultures and technologies. Now, humanity is linked within one interconnected network of information and commerce that spans the entire planet.'] = 'Just 500 years ago, humans lived in four separate world zones, each with distinct cultures and technologies. Now, humanity is linked within one interconnected network of information and commerce that spans the entire planet.';
catalog['Just keeping track of cash that goes in and out of a business doesn\'t always reflect what\'s going on.  This tutorial compares cash and accrual accounting.  Very valuable if you ever plan on starting or investing in any type of business (you might also discover a nascent passion for accounting)!'] = 'Einfach nur im Auge behalten wieviel Bargeld bei einem Unternehmen rein- und rausflie\u00dft gibt nicht immer genau wieder wie es dem Unternehmen geht. Diese Tutorial vergleicht die Kassenbuchf\u00fchrung mit der periodengerechten Buchf\u00fchrung. Sehr n\u00fctzlich falls du jemals selbst ein Unternehmen gr\u00fcnden oder in eins investieren m\u00f6chtest (vielleicht keimt in dir ja sogar eine Buchhaltungs-Leidenschaft auf)!';
catalog['Just saying "quadratic" will make you feel smart. Try these review exercises and feel your brain tingle as you get even smarter!'] = 'Einfach durch "quadratisch" sagen wirst du dich schlau f\u00fchlen. Probiere dich an den Aufgaben dieses \u00dcberblicks und f\u00fchle das Kitzeln in deinem Hirn w\u00e4hrend du noch schlauer wirst!';
catalog['Just saying the word "quadratic" will make you feel smart and powerful.  Try it.  Imagine how smart and powerful you would actually be if you know what a quadratic is.  Even better, imagine being able to completely dominate these "quadratics" with new found powers of factorization.  Well, dream no longer.\n\nThis tutorial will be super fun.  Just bring to it your equation solving skills, your ability to multiply binomials and a non-linear way of thinking!'] = 'Allein schon durch die Erw\u00e4hnung des Wortes \'quadratisch\' wirkst du clever und stark. Versuch es mal. Stell dir vor, wie clever und stark du tats\u00e4chlich w\u00e4rest, wenn du w\u00fc\u00dftest, was quadratisch hei\u00dft. Und, viel besser, stell dir vor, die k\u00f6nntest alles Quadratische beherrschen, mit neue Kr\u00e4ften aus der Faktorisierung. Tr\u00e4ume nicht weiter.\n\nDieses Tutorial wird recht lustig werden. Bring deine F\u00e4higkeiten zur L\u00f6sung von Gleichungen hier ein, und deine Erfahrung mit der Multiplikation von Binomialausdr\u00fccken und eine nicht-lineare Denkweise!';
catalog['Justifications for the aggregate supply curve to be upward sloping in the short-run'] = 'Justifications for the aggregate supply curve to be upward sloping in the short-run';
catalog['K-Ar dating calculation'] = 'K-Ar dating calculation';
catalog['KA Lite Home'] = 'KA Lite Home';
catalog['KA Lite Wiki'] = 'KA Lite Wiki';
catalog['KA Lite is a light-weight web server for viewing and interacting with core Khan Academy content (videos and exercises) without needing an Internet connection.'] = 'KA Lite ist ein vereinfachter Web-Server zur Bildbetrachtung und Interaktion mit Khan Academy Kerninhalte (Videos und \u00dcbungen), ohne dass eine Internetverbindung ben\u00f6tigt wird.';
catalog['KA on John Stossel  Documentary'] = 'Dokumentation von John Stossel \u00fcber die Kahn Akademie';
catalog['Ka and pKa derivation'] = 'Ka and pKa derivation';
catalog['Kandinsky, Composition VII'] = 'Kandinsky, Composition VII';
catalog['Kathy Schick defines the role of the anthropologist in understanding our past and present.<br>'] = 'Kathy Schick defines the role of the anthropologist in understanding our past and present.<br>';
catalog['Kayla and Bryn talk about angels in a follower of <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=794" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=794">Rogier van der Weyden\'s <em>Deposition</em></a>, c. 1490.&nbsp;<span>This is from an imaginative tour at the Getty Center: The Supernatural in Art. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.</span>'] = 'Kayla and Bryn talk about angels in a follower of <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=794" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=794">Rogier van der Weyden\'s <em>Deposition</em></a>, c. 1490.&nbsp;<span>This is from an imaginative tour at the Getty Center: The Supernatural in Art. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.</span>';
catalog['Keanu Reeves\' virtual world in the The Matrix (I guess we can call all three movies "The Matrices") have more in common with this tutorial than you might suspect.  Matrices are ways of organizing numbers.  They are used extensively in computer graphics, simulations and information processing in general.  The super-intelligent artificial intelligences that created The Matrix for Keanu must have used many matrices in the process.\n\nThis tutorial introduces you to what a matrix is and how we define some basic operations on them.'] = 'Keanu Reeves\' virtuelle Welt im Film "Die Matrix" (Ich denke wir k\u00f6nnen alle drei Filme "Die Matrizen" nennen) hat mit diesem Tutorial viel mehr gemeinsam als Sie vielleicht vermuten. Matrizen stellen eine M\u00f6glichkeit dar Zahlen zu ordnen. Sie werden f\u00fcr Computergrafik, Simulationen und in der Informationsverarbeitung allgemein sehr h\u00e4ufig  verwendet. Die hochintelligenten k\u00fcnstlichen Intelligenzen, die die Matrix f\u00fcr Keanu erschufen, m\u00fcssen f\u00fcr diesen Prozess viele Matrizen verwendet haben. Dieses Tutorial erl\u00e4utert Ihnen was eine Matrix ist und wie grundlegende Operationen auf diese angewendet werden.   ';
catalog['Keq derivation intuition (can skip; bit mathy)'] = 'Gef\u00fchl f\u00fcr die Keq Ableitung bekommen (kann \u00fcbersprungen werden; etwas mathematisch)';
catalog['Keq intuition (mathy and not necessary to progress)'] = 'Keq intuition (mathy and not necessary to progress)';
catalog['Keto-enol tautomerization'] = 'Keto-enol tautomerization';
catalog['Ketone Naming'] = 'Ketone Naming';
catalog['Ketone naming'] = 'Ketone naming';
catalog['Key issues for the study of AP Art History'] = 'Key issues for the study of AP Art History';
catalog['Keynesian Cross'] = 'Keynesianisches Kreuz';
catalog['Keynesian cross and the multiplier'] = 'Keynesian cross and the multiplier';
catalog['Keynesian cross'] = 'Keynesian cross';
catalog['Keynesian economics'] = 'Keynesian economics';
catalog['Keynesian thinking'] = 'Keynesian thinking';
catalog['Khan Academy Computer Science Launch'] = 'Khan Academy: Computer Science (Einf\u00fchrung)';
catalog['Khan Academy Vision and Social Return'] = 'Die Visionen der Kahn Akademie und wie sie die Gesellschaft ver\u00e4ndern k\u00f6nnen';
catalog['Khan Academy and beyond'] = 'Khan Academy und dar\u00fcber hinaus';
catalog['Khan Academy at Marlborough School'] = 'Khan Academy an der Marlborough School';
catalog['Khan Academy on 20/20 (Sep 2011)'] = 'Kahn Akademie bei "20/20" (September 2011)';
catalog['Khan Academy on California Report (June 2011)'] = 'Khan Akademie bei "California Report" (Juni 2011)';
catalog['Khan Academy on Jon Stossel Documentary in September 2011'] = 'Dokumentation von Jon Stossel im September 2011';
catalog['Khan Academy on Nightly News'] = 'Kahn Akademie bei "Nightly News"';
catalog['Khan Academy on PBS NewsHour (Edited)'] = 'Kahn Akademie bei PBS "NewsHour" (Ausschnitt)';
catalog['Khan Academy on Perry\'s Principles (6/2/2011)'] = 'Kahn Akademie bei "Perry\'s Principles" (02.06.2011)';
catalog['Khan Academy on Perry\'s Principles'] = 'Kahn Akademie bei "Perry\'s Principles"';
catalog['Khan Academy on the Gates Notes'] = 'Kahn Akademie bei den "Gates Notes"';
catalog['Khan Academy on the NBC Nightly News with Brian Williams'] = 'Kahn Akademie bei den "NBC Nightly News" mit Brian Williams';
catalog['Khan Academy profiled on the Early Show'] = 'Vorstellung der Kahn Akademie in der "Early Show"';
catalog['Khan Academy ran a hands-on, project-based learning summer program in 2013. We (and the students) had a lot of fun!&nbsp;'] = 'Khan Academy ran a hands-on, project-based learning summer program in 2013. We (and the students) had a lot of fun!&nbsp;';
catalog['Khan Academy-related talks and interviews'] = 'Gespr\u00e4che und Interviews \u00fcber die Khan Academy';
catalog['Khan Academy\'s Discovery Lab - Summer 2012'] = 'Khan Academy\'s Discovery Lab - Summer 2012';
catalog['Khan Academy\'s Discovery Lab - Summer 2013'] = 'Khan Academy\'s Discovery Lab - Summer 2013';
catalog['Khan Academy\'s core team - Sal Khan, Shantanu Sinha, Sundar Subbarayn, Ben Kamens and Jason Rosff - say they hope to revolutionize education.'] = 'Die Mitarbeiter der ersten Stunde der Kahn Akademie - Sal Khan, Shantanu Sinha, Sundar Subbarayn, Ben Kamens und Jason Rosff - sagen, sie hoffen die Bildung revolutionieren zu k\u00f6nnen.';
catalog['Khnopff,  I Lock the Door Upon Myself, 1891'] = 'Khnopff,  I Lock the Door Upon Myself, 1891';
catalog['Khnopff, Jeanne K\u00e9fer'] = 'Khnopff, Jeanne K\u00e9fer';
catalog['Kinematic formulas and projectile motion'] = 'Kinematic formulas and projectile motion';
catalog['Kinetic and thermodynamic enolates'] = 'Kinetic and thermodynamic enolates';
catalog['Kinetics, activation energy, activated complex and catalysts.'] = 'Kinetik, Aktivierungsenergie, aktivierter Komplex und Katalysatoren.';
catalog['King\'s cupcakes:  Solving systems by elimination'] = 'Des K\u00f6nigs Muffins: L\u00f6sen von Gleichungssystemen durch Elimination';
catalog['Kirchner, Street, Dresden'] = 'Kirchner, Street, Dresden';
catalog['Kites as a mathematical shape'] = 'Kites as a mathematical shape';
catalog['Klee, Twittering Machine'] = 'Klee, Twittering Machine';
catalog['Klimt, Death and Life'] = 'Klimt, Death and Life';
catalog['Koch snowflake fractal'] = 'Die koch\'sche Schneeflocke (Fraktal)';
catalog['Kohlberg moral development'] = 'Kohlberg moral development';
catalog['Korea'] = 'Korea';
catalog['Korean Buddhist art'] = 'Korean Buddhist art';
catalog['Korean War Overview'] = '\u00dcbersicht Koreakrieg';
catalog['Korean War overview'] = 'Korean War overview';
catalog['Kouros (youth), Archaic Greek, Attic,Archaic Period, c. 590--580 B.C.E. (Metropolitan Museum of Art)\n\nSpeakers: Monica Hahn, Brian Seymour'] = 'Kouros (youth), Archaic Greek, Attic,Archaic Period, c. 590--580 B.C.E. (Metropolitan Museum of Art)\n\nSpeakers: Monica Hahn, Brian Seymour';
catalog['Krater, Terracotta, 42 5/8 in. height (108.25 cm), c. 750--700 B.C.E., Geometric Period, Attic, \n\nattributed to the Hirschfeld Workshop (Metropolitan Museum of Art)\n\nSpeakers: Monica Hahn, Brian Seymour\nAttic refers to Attica, a historic region of Greece that included Athens.'] = 'Krater, Terracotta, 42 5/8 in. height (108.25 cm), c. 750--700 B.C.E., Geometric Period, Attic, \n\nattributed to the Hirschfeld Workshop (Metropolitan Museum of Art)\n\nSpeakers: Monica Hahn, Brian Seymour\nAttic refers to Attica, a historic region of Greece that included Athens.';
catalog['Krebs (citric acid) cycle and oxidative phosphorylation'] = 'Krebs (citric acid) cycle and oxidative phosphorylation';
catalog['Krebs / citric acid cycle'] = 'Krebs / Zitronens\u00e4ure-Zyklus';
catalog['Krebs cycle and oxidative phosphorylation - Passage 1'] = 'Krebs cycle and oxidative phosphorylation - Passage 1';
catalog['Krebs cycle and oxidative phosphorylation - Passage 2'] = 'Krebs cycle and oxidative phosphorylation - Passage 2';
catalog['Kritios Boy, c. 480 B.C.E.'] = 'Kritios Boy, c. 480 B.C.E.';
catalog['Kurt Schwitters, Merzbild 32A, The Cherry Picture, mixed media, 1921 (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Beth Harris'] = 'Kurt Schwitters, Merzbild 32A, The Cherry Picture, mixed media, 1921 (MoMA)\n\nSpeakers: Dr. Juliana Kreinik, Dr. Beth Harris';
catalog['LCM and GCF (greatest common factor) word problems'] = 'KGV und GGT (gr\u00f6\u00dfter gemeinsamer Teiler) - Textaufgaben';
catalog['LED eyes'] = 'LED eyes';
catalog['LEO the Lion goes GERRRR!!!!  If that is all that you remember about redox from general chemistry, then this tutorial is for you!   Jay shows you how to assign oxidation states in organic molecules.'] = 'LEO der L\u00f6we macht GERRRR!!!!  Wenn das alles ist, was du dir bei Redoxgleichungen in allgemeiner Chemie gemerkt hast, dann ist dieses Tutorial genau richtig f\u00fcr dich!  Jay zeigt dich wie du organischen Molek\u00fclen einen Oxidationszustand zuweisen kannst.';
catalog['LIBOR'] = 'LIBOR';
catalog['LM part of the IS-LM model'] = 'LM part of the IS-LM model';
catalog['L\'H\u00f4pital\'s Rule Example 1'] = 'L\'H\u00f4pital\'sche Regel - Beispiel 1';
catalog['L\'H\u00f4pital\'s Rule Example 2'] = 'L\'H\u00f4pital\'sche Regel - Beispiel 2';
catalog['L\'H\u00f4pital\'s Rule Example 3'] = 'L\'H\u00f4pital\'sche Regel - Beispiel 3';
catalog['L\'H\u00f4pital\'s Rule'] = 'Regel von L\' Hospital';
catalog['L\'H\u00f4pital\'s rule example 1'] = 'L\'H\u00f4pital\'sche Regel - Beispiel 1';
catalog['L\'H\u00f4pital\'s rule example 2'] = 'L\'H\u00f4pital\'sche Regel - Beispiel 2';
catalog['L\'H\u00f4pital\'s rule example 3'] = 'L\'H\u00f4pital\'sche Regel - Beispiel 3';
catalog['L\'H\u00f4pital\'s rule'] = 'Regel von L\' Hospital';
catalog['L\u00e1szl\u00f3 Moholy-Nagy, Climbing the Mast, 1928, gelatin silver print, 5.4 x 28 cm or 13 15/16 x 11 inches (Metropolitan Museum of Art)\n\nSpeakers: Dr. Juliana Kreinik and Dr. Vanessa Rocco\n\nView this on Smarthistory.org: http://smarthistory.khanacademy.org/laszlo-moholy-nagy-climbing-the-mast.html'] = 'L\u00e1szl\u00f3 Moholy-Nagy, Climbing the Mast, 1928, gelatin silver print, 5.4 x 28 cm or 13 15/16 x 11 inches (Metropolitan Museum of Art)\n\nSpeakers: Dr. Juliana Kreinik and Dr. Vanessa Rocco\n\nView this on Smarthistory.org: http://smarthistory.khanacademy.org/laszlo-moholy-nagy-climbing-the-mast.html';
catalog['L\u00e1szl\u00f3 Moholy-Nagy, Composition A.XX, 1924, oil on canvas, 135.5 x 115cm (Mus\u00e9e national d\'art moderne, Centre Georges Pompidou, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'L\u00e1szl\u00f3 Moholy-Nagy, Composition A.XX, 1924, oil on canvas, 135.5 x 115cm (Mus\u00e9e national d\'art moderne, Centre Georges Pompidou, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['L\u00e9on Bakst, "Costume design for the ballet The Firebird"'] = 'L\u00e9on Bakst, "Costume design for the ballet The Firebird"';
catalog['L\u00e9opold Survage, "Colored Rhythm: Study for the Film"'] = 'L\u00e9opold Survage, "Colored Rhythm: Study for the Film"';
catalog['LaKeshia Grant - CEO & Founder of Virtual Enterprise Architects'] = 'LaKeshia Grant - CEO & Founder of Virtual Enterprise Architects';
catalog['LaKeskia Grant founded Virtual Enterprise Architects as a place where she would have a voice and create an environment where others could be heard. She discusses her industry and encourages would-be entrepreneurs to incorporate their core values in their business. Grant&rsquo;s mother may not know exactly what the information technology business does, but she instilled a strong work ethic and the spirit of entrepreneurship in her daughter.'] = 'LaKeskia Grant founded Virtual Enterprise Architects as a place where she would have a voice and create an environment where others could be heard. She discusses her industry and encourages would-be entrepreneurs to incorporate their core values in their business. Grant&rsquo;s mother may not know exactly what the information technology business does, but she instilled a strong work ethic and the spirit of entrepreneurship in her daughter.';
catalog['LaKeskia Grant founded Virtual Enterprise Architects as a place where she would have a voice and create an environment where others could be heard. She discusses her industry and encourages would-be entrepreneurs to incorporate their core values in their business. Grant\u2019s mother may not know exactly what the information technology business does, but she instilled a strong work ethic and the spirit of entrepreneurship in her daughter.'] = 'LaKeskia Grant founded Virtual Enterprise Architects as a place where she would have a voice and create an environment where others could be heard. She discusses her industry and encourages would-be entrepreneurs to incorporate their core values in their business. Grant\u2019s mother may not know exactly what the information technology business does, but she instilled a strong work ethic and the spirit of entrepreneurship in her daughter.';
catalog['Lab Values and Concentrations'] = 'Laborwerte und Konzentrationen';
catalog['Lab values and concentrations'] = 'Laborwerte und Konzentrationen';
catalog['Labor and marginal product revenue'] = 'Arbeit und Wertgrenzprodukt';
catalog['Lagrange error bound for Taylor Polynomial approximation'] = 'Lagrange error bound for Taylor Polynomial approximation';
catalog['Land productivity limiting human population'] = 'Land productivity limiting human population';
catalog['Lane, Owl\'s Head, Penobscot Bay, Maine'] = 'Lane, Owl\'s Head, Penobscot Bay, Maine';
catalog['Language Packs'] = 'Sprachpakete';
catalog['Language and notation of basic geometry'] = 'Sprech- und Schreibweisen in der Geometrie';
catalog['Language and notation of the circle'] = 'Language and notation of the circle';
catalog['Language and religion of the former Yugoslavia'] = 'Sprache und Religion des ehemaligen Jugoslawien';
catalog['Language and the brain: Aphasia and split-brain patients'] = 'Language and the brain: Aphasia and split-brain patients';
catalog['Language packs contain all available translations for the interface and video subtitles.'] = 'Language packs contain all available translations for the interface and video subtitles.';
catalog['Laplace Transform of  t^n: L{t^n}'] = 'Laplace-Transformation von t^n: L{t^n}';
catalog['Laplace Transform of sin(at) (part 1)'] = 'Laplace-Transformation von sin(at) (Teil 1)';
catalog['Laplace as linear operator and Laplace of derivatives'] = 'Laplace as linear operator and Laplace of derivatives';
catalog['Laplace transform 1'] = 'Laplace Transformation 1';
catalog['Laplace transform 2'] = 'Laplace-Transformation 2';
catalog['Laplace transform of  t^n: L{t^n}'] = 'Laplace-Transformation von t^n: L{t^n}';
catalog['Laplace transform of cos t and polynomials'] = 'Laplace-Transformation von Kosinus und Polynomen';
catalog['Laplace transform of cosine and polynomials!'] = 'Laplace-Transformation von Kosinus und Polynomen!';
catalog['Laplace transform of e^at'] = 'Laplace-Transformation von e^at';
catalog['Laplace transform of t: L{t}'] = 'Laplace-Transformation von t: L{t}';
catalog['Laplace transform of the dirac delta function'] = 'Laplace transform of the dirac delta function';
catalog['Laplace transform of the unit step function'] = 'Laplace Transformation der Sprungfunktion';
catalog['Laplace transform solves an equation 2'] = 'Laplace-Transformation l\u00f6st eine Gleichung 2';
catalog['Laplace transform to solve a differential equation'] = 'Laplace-Transformation zur L\u00f6sung einer Differentialgleichung';
catalog['Laplace transform to solve an equation'] = 'Laplace-Transformation um eine Gleichung zu l\u00f6sen';
catalog['Laplace transform'] = 'Die Laplace Transformation';
catalog['Laplace/step function differential equation'] = 'Laplace/step function differential equation';
catalog['Lara Morgan - Founder of Pacific Direct'] = 'Lara Morgan - Gr\u00fcnder von Pacific Direct';
catalog['Lara Morgan, Founder of Pacific Direct, shares her entrepreneurial story and describes her motivations in founding companies. Lara describes how understanding the mechanisms of money, along with a fearlessness of asking questionshelped her company grow.&nbsp;'] = 'Lara Morgan, Founder of Pacific Direct, shares her entrepreneurial story and describes her motivations in founding companies. Lara describes how understanding the mechanisms of money, along with a fearlessness of asking questionshelped her company grow.&nbsp;';
catalog['Lara Morgan, Founder of Pacific Direct, shares her entrepreneurial story and describes her motivations in founding companies. Lara describes how understanding the mechanisms of money, along with a fearlessness of asking questionshelped her company grow.'] = 'Lara Morgan, Founder of Pacific Direct, shares her entrepreneurial story and describes her motivations in founding companies. Lara describes how understanding the mechanisms of money, along with a fearlessness of asking questionshelped her company grow.';
catalog['Large Sample Proportion Hypothesis Testing'] = 'Gro\u00dfe Stichprobe Anteil Hypothesentest';
catalog['Large sample proportion hypothesis testing'] = 'Gro\u00dfe Stichprobe Anteil Hypothesentest';
catalog['Large stars die, and then explode into massive supernovae. This scatters all the elements of the periodic table throughout the Universe, which results in Threshold 3.<br>'] = 'Large stars die, and then explode into massive supernovae. This scatters all the elements of the periodic table throughout the Universe, which results in Threshold 3.<br>';
catalog['Larger and larger communities of people living together\u2026sounds like you might need some kind of organization.\n'] = 'Larger and larger communities of people living together\u2026sounds like you might need some kind of organization.\n';
catalog['Largest possible number from 4 digits example'] = 'Gr\u00f6\u00dftm\u00f6gliche Anzahl von 4 Ziffern - Beispiel';
catalog['Last Completed'] = 'Last Completed';
catalog['Last Judgment Tympanum, Cathedral of St. Lazare, Autun'] = 'Last Judgment Tympanum, Cathedral of St. Lazare, Autun';
catalog['Last Judgment Tympanum, Central Portal on West facade of the Cathedral of St. Lazare, Autun, c. 1130-46'] = 'Last Judgment Tympanum, Central Portal on West facade of the Cathedral of St. Lazare, Autun, c. 1130-46';
catalog['Last Name'] = 'Nachname';
catalog['Last Sync'] = 'Last Sync';
catalog['Last Usage'] = 'Letzte Verwendung';
catalog['Last login time: %(last_login_time)s'] = 'Last login time: %(last_login_time)s';
catalog['Last recorded usage'] = 'Last recorded usage';
catalog['Late Victorian'] = 'Late Victorian';
catalog['Late classical: After Praxiteles, Venus (Roman Copy)'] = 'Late classical: After Praxiteles, Venus (Roman Copy)';
catalog['Late classical: Lysippos, Apoxyomenos (Scraper), c. 330 B.C.E. (Roman copy)'] = 'Late classical: Lysippos, Apoxyomenos (Scraper), c. 330 B.C.E. (Roman copy)';
catalog['Late classical: Lysippos, Farnese Hercules, 4th century B.C.E. (later Roman copy by Glycon)'] = 'Late classical: Lysippos, Farnese Hercules, 4th century B.C.E. (later Roman copy by Glycon)';
catalog['Later Europe and Americas 1750-1980 C.E.'] = 'Later Europe and Americas 1750-1980 C.E.';
catalog['Later period: Mimar Sinan, R\u00fcstem Pasha Mosque'] = 'Later period: Mimar Sinan, R\u00fcstem Pasha Mosque';
catalog['Later period: Qa\'a: The Damascus room'] = 'Later period: Qa\'a: The Damascus room';
catalog['Latest Version'] = 'Latest Version';
catalog['Latin American Revolutions'] = 'Lateinamerikanische Revolutionen';
catalog['Latitude'] = 'Breitengrad';
catalog['Lattice multiplication'] = 'Gitter-Multiplikation';
catalog['Launch video player!'] = 'Launch video player!';
catalog['Launching and landing on different elevations'] = 'Launching and landing on different elevations';
catalog['Law Code Stele of King Hammurabi, basalt, Babylonian, 1792-1750 B.C.E. (Mus&eacute;e du Louvre, Paris) A stele is a vertical stone monument or marker often inscribed with text or with relief carving. Speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Law Code Stele of King Hammurabi, basalt, Babylonian, 1792-1750 B.C.E. (Mus&eacute;e du Louvre, Paris) A stele is a vertical stone monument or marker often inscribed with text or with relief carving. Speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Law of cosines '] = 'Law of cosines ';
catalog['Law of cosines and law of sines'] = 'Cosinus- und Sinussatz';
catalog['Law of cosines for star distance'] = 'Law of cosines for star distance';
catalog['Law of cosines to determine grade'] = 'Law of cosines to determine grade';
catalog['Law of cosines'] = 'Kosinussatz';
catalog['Law of demand'] = 'Das Gesetz der Nachfrage';
catalog['Law of large numbers'] = 'Gesetz der gro\u00dfen Zahlen';
catalog['Law of sines and law of cosines word problems'] = 'Law of sines and law of cosines word problems';
catalog['Law of sines for missing angle'] = 'Law of sines for missing angle';
catalog['Law of supply'] = 'Das Gesetz des Angebotes';
catalog['Layers of a blood vessel'] = 'Layers of a blood vessel';
catalog['Layers of the heart'] = 'Layers of the heart';
catalog['Laziness is usually considered a bad thing.  But sometimes, it is useful to be lazy in a smart way.  Why do a big, hairy calculation if you just need a rough estimate? Why keep track of 2.345609 when you only need 2.35? \n\nThis tutorial will get you comfortable with sometimes being a little rough with numbers.  By being able to round and estimate them, it\'ll only add one more tool to your toolkit.'] = 'Faulheit gilt in der Regel als eine schlechte Sache.  Aber manchmal ist es n\u00fctzlich, auf intelligente Weise faul zu sein.  Warum machen Sie eine gro\u00dfe, haarige Berechnung wenn Sie nur eine grobe Sch\u00e4tzung ben\u00f6tigen? Warum sich 2.345609 merken wenn Sie nur 2,35 brauchen? \n\nDies  Lernprogramm will es Ihnen bequem machen indem es manchmal ein wenig grob mit Zahlen umgeht. Durch die M\u00f6glichkeit des Rundens und Sch\u00e4tzens f\u00fcgt es ein weiteres Werkzeug zu Ihrem Werkzeugkasten hinzu.';
catalog['Le Chatelier\'s Principle regarding the "stressing" of reactions in equilibrium'] = 'Le Chatelier Prinzip bez\u00fcglich der Betonung von Reaktionen im Gleichgewicht';
catalog['Le Chatelier\'s principle'] = 'Le Chatelier\'s principle';
catalog['LeBron Asks:  What muscles do we use when shooting a basket?'] = 'LeBron fragt: Welche Muskeln benutzen wir wenn wir einen Korb werfen?';
catalog['LeBron Asks:  Why does humidity make it feel hotter?'] = 'LeBron Asks:  Why does humidity make it feel hotter?';
catalog['LeBron Asks: How does shooting a basketball illustrate Newton\'s 3rd Law?'] = 'LeBron fragt: Wie illustriert das Werfen eines Basketballs Newtons drittes Gesetz?';
catalog['LeBron Asks: If Earth\'s history were a basketball game, when did humans appear?'] = 'LeBron fragt: Wenn die Geschichte der Erde ein Basketballspiel w\u00e4re, wann w\u00e4ren dann die Menschen erschienen?';
catalog['LeBron Asks: Why does sweating cool you down?'] = 'LeBron fragt: Warum k\u00fchlt Schwitzen dich ab?';
catalog['LeBron James asks Sal Khan about which muscles we use when we shoot a basket.'] = 'LeBron James fragt Sal Khan welche Muskeln wir benutzen wenn wir einen Korb werfen.';
catalog['LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.'] = 'LeBron James asks Sal Khan if it is easier to make three free throws or one three-pointer.';
catalog['LeBron James asks Sal about how long humanity has been around as compared to the history of the Earth'] = 'LeBron James fragt Sal wie lange die Menschheit bereits existiert im Vergleich zur Geschichte der Erde';
catalog['LeBron James asks Sal how to determine the probability of making 10 free throws in a row'] = 'LeBron James fragt Sal wie man die Wahrscheinlichkeit 10 Freiw\u00fcrfe am St\u00fcck zu machen bestimmt';
catalog['LeBron James asks questions about math and science, and we answer!'] = 'LeBron James stellt Fragen zu Mathematik und Naturwissenschaft und wir antworten!';
catalog['LeBron asks Sal why humidity makes it feel so much hotter.'] = 'LeBron asks Sal why humidity makes it feel so much hotter.';
catalog['LeBron asks Sal why sweating helps cool the body down.'] = 'LeBron fragt Sal warum Schwitzen hilft den K\u00f6rper zu k\u00fchlen.';
catalog['LeBron asks'] = 'LeBron fragt';
catalog['LeBron asks: What are the chances of making 10 free throws in a row?'] = 'LeBron asks: What are the chances of making 10 free throws in a row?';
catalog['LeBron asks: What are the chances of three free throws versus one three pointer?'] = 'LeBron asks: What are the chances of three free throws versus one three pointer?';
catalog['Leading change in blended learning'] = 'Leading change in blended learning';
catalog['Leading organizational change to transform existing schools or launch new schools'] = 'Leading organizational change to transform existing schools or launch new schools';
catalog['Learn 2 major heart problems that hypertension can cause.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn 2 major heart problems that hypertension can cause.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn Barnett Newman\'s techniques and how he reinvented the traditional figure-ground relationship. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.'] = 'Learn Barnett Newman\'s techniques and how he reinvented the traditional figure-ground relationship. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.';
catalog['Learn about Matisse&rsquo;s search for essential form in The Blue Window.&nbsp;To learn about other great moments in modern art, take our online course, <a href="http://www.moma.org/learn/courses/online#course5">Modern Art, 1880-1945</a>.'] = 'Learn about Matisse&rsquo;s search for essential form in The Blue Window.&nbsp;To learn about other great moments in modern art, take our online course, <a href="http://www.moma.org/learn/courses/online#course5">Modern Art, 1880-1945</a>.';
catalog['Learn about algorithms for performing encryption & decryption. Then practice making and breaking codes!'] = 'Erfahre mehr \u00fcber Algorithmen f\u00fcr Verschl\u00fcsselung & Entschl\u00fcsselung. \u00dcbe dann das Erstellen und Brechen von Codes!';
catalog['Learn about bitcoins and how they work.  \n\nVideos by Zulfikar Ramzan. Zulfikar is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire.  He received his Ph.D. in computer science from MIT.'] = 'Lern etwas \u00fcber Bitcoins und wie sie funktionieren.\n\nVideos von Zulfikar Ramzan. Zulfikar ist ein einer der weltbesten Experten im Bereich Computersicherheit und Kryptographie und ist momemtan der Leiter der Wissenschaftlichen Abteilung bei Sourcefire. Er hat seinen Doktor in Informatik am MIT gemacht.';
catalog['Learn about common heuristics, biases, and other factors that affect our decisions.'] = 'Learn about common heuristics, biases, and other factors that affect our decisions.';
catalog['Learn about compliance (and elastance) of arteries, veins, and lead pipes!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn about compliance (and elastance) of arteries, veins, and lead pipes!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn about concepts from computer science, starting with cryptography and information theory. The world of computer science is vast and there\'s much to cover, stay tuned for topics like algorithms, AI, and data science in the future!'] = 'Learn about concepts from computer science, starting with cryptography and information theory. The world of computer science is vast and there\'s much to cover, stay tuned for topics like algorithms, AI, and data science in the future!';
catalog['Learn about decay and interference in human memory.<br>'] = 'Learn about decay and interference in human memory.<br>';
catalog['Learn about different definitions of intelligence and the nature/nurture debate in the context of intelligence.'] = 'Learn about different definitions of intelligence and the nature/nurture debate in the context of intelligence.';
catalog['Learn about drawings in the Getty Museum\'s collection.'] = 'Erfahrt mehr \u00fcber die Zeichnungen aus der Sammlung des Getty Museums.';
catalog['Learn about driving forces of evolution other than natural selection. Group selection and artificial selection are just a few of these forms of &quot;Alternative Selection.&quot;&nbsp; By Ross Firestone.'] = 'Learn about driving forces of evolution other than natural selection. Group selection and artificial selection are just a few of these forms of &quot;Alternative Selection.&quot;&nbsp; By Ross Firestone.';
catalog['Learn about hormones and diabetes, as well as some important information on glucose control.'] = 'Erfahre mehr \u00fcber Hormone und Diabetes sowie einige wichtige Informationen zur Blutzuckereinstellung.';
catalog['Learn about how Alzheimer\'s Disease and Korsakoff\'s Syndrome affect memory.<br>'] = 'Learn about how Alzheimer\'s Disease and Korsakoff\'s Syndrome affect memory.<br>';
catalog['Learn about how TB can spread beyond your lungs.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn about how TB can spread beyond your lungs.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn about how arteries differ from veins and how arteries can get damaged over time.'] = 'Lerne, wie sich Arterien von Venen unterscheiden und wie Arterien im Laufe der Zeit besch\u00e4digt werden k\u00f6nnen.';
catalog['Learn about how changes in the environment can change the way natural selection behaves. What happens when a population&#39;s environment changes drastically?&nbsp; By Ross Firestone.'] = 'Learn about how changes in the environment can change the way natural selection behaves. What happens when a population&#39;s environment changes drastically?&nbsp; By Ross Firestone.';
catalog['Learn about how cognitive abilities change as we age.<br>'] = 'Learn about how cognitive abilities change as we age.<br>';
catalog['Learn about how hypertension can cause damage to the large/middle sized arteries as well as the small arteries and arterioles.   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn about how hypertension can cause damage to the large/middle sized arteries as well as the small arteries and arterioles.   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn about how muscle contraction and lung recoil actually help the lungs change their volume with every breath!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn about how muscle contraction and lung recoil actually help the lungs change their volume with every breath!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn about how priming, environmental context, and internal state affect memory.<br>'] = 'Learn about how priming, environmental context, and internal state affect memory.<br>';
catalog['Learn about how resistance can be added up in series and in parallel (similar to electrical circuits!).   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn about how resistance can be added up in series and in parallel (similar to electrical circuits!).   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn about how the arteries use nerve impulses to help regulate blood pressure.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn about how the arteries use nerve impulses to help regulate blood pressure.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn about how the flu vaccine is made every year and how they name the strains that they put inside.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn about how the flu vaccine is made every year and how they name the strains that they put inside.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn about inbreeding and how it can hurt a population&#39;s genetic diversity. By Ross Firestone.'] = 'Learn about inbreeding and how it can hurt a population&#39;s genetic diversity. By Ross Firestone.';
catalog['Learn about influenza symptoms, diagnosis, and treatment.  Most of all, get all of your questions answered about the flu vaccine!'] = 'Lern etwas \u00fcber die Symptome, Diagnose und Behandlung der Grippe. Au\u00dferdem werden all deine Fragen zum Grippe-Impfstoff beantwortet!';
catalog['Learn about medieval manuscripts. Find out how these handmade objects were created, how the medieval calendars within them work, and see the book considered by many to be the finest illuminated manuscript ever made.'] = 'Erfahrt mehr \u00fcber mittelalterliche Handschriften. Erfahrt, wie diese handgefertigt wurden und wie die mittelalterlichen Kalender in ihnen funktionierten. Seht euch das Buch an, das viele f\u00fcr die sch\u00f6nste Bilderhandschrift halten, die je geschaffen wurde.';
catalog['Learn about memory reconstruction, source monitoring, and flashbulb memories.<br>'] = 'Learn about memory reconstruction, source monitoring, and flashbulb memories.<br>';
catalog['Learn about osmoles and figure out how to calculate osmolarity really easily.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn about osmoles and figure out how to calculate osmolarity really easily.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn about rote rehearsal, chunking, mnemonic devices, self-referencing, and spacing.<br>'] = 'Learn about rote rehearsal, chunking, mnemonic devices, self-referencing, and spacing.<br>';
catalog['Learn about some of the common and uncommon risks and benefits associated with the flu vaccine!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn about some of the common and uncommon risks and benefits associated with the flu vaccine!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn about some of the great paintings in the Getty Museum\'s collection and discover the techniques used by the artists that made them.'] = 'Erfahrt mehr \u00fcber die gro\u00dfartigen Gem\u00e4lde aus der Sammlung des Getty Museums und entdeckt die Techniken, mit denen die K\u00fcnstler sie geschaffen haben.';
catalog['Learn about some of the very first photographic techniques including the daguerreotype and the wet collodion process. Discover photographs in the Getty Museum\'s collection and hear artist discuss their images and process.'] = 'Erfahrt mehr \u00fcber einige der ersten Techniken der Fotografie, wie die Daguerrotypie und das Kollodium-Nassverfahren. Entdeckt Fotografien aus der Sammlung des Getty Museums und h\u00f6rt, wie die K\u00fcnstler ihre Bilder und Verfahren besprechen.';
catalog['Learn about synaptic plasticity and long-term potentiation, the physiological mechanism behind learning.<br>'] = 'Learn about synaptic plasticity and long-term potentiation, the physiological mechanism behind learning.<br>';
catalog['Learn about the 5 major parts of the kidney\'s nephron.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn about the 5 major parts of the kidney\'s nephron.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn about the cervical (neck) spine through an Xray!'] = 'Erfahre mehr \u00fcber die Halswirbels\u00e4ule durch eine R\u00f6ntgenaufnahme!';
catalog['Learn about the drip-style painting techniques of one of America\'s most iconic and influential painters. To learn more and create your own works, take our online course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#instructor" href="http://www.moma.org/learn/courses/online#instructor">Materials and Techniques of Postwar Abstract Painting</a>.'] = 'Learn about the drip-style painting techniques of one of America\'s most iconic and influential painters. To learn more and create your own works, take our online course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#instructor" href="http://www.moma.org/learn/courses/online#instructor">Materials and Techniques of Postwar Abstract Painting</a>.';
catalog['Learn about the importance and upkeep of the pristine surfaces on De Wain Valentine\'s sculptures and related conservation considerations. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Learn about the importance and upkeep of the pristine surfaces on De Wain Valentine\'s sculptures and related conservation considerations. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Learn about the information processing model of human memory.<br>'] = 'Learn about the information processing model of human memory.<br>';
catalog['Learn about the main types of printmaking: relief, intaglio and lithography. Did you know that MoMA offers studio courses online? Check out the <a href="http://www.moma.org/learn/courses/online#self">list</a> of offerings including online courses on collage and painting techniques.'] = 'Learn about the main types of printmaking: relief, intaglio and lithography. Did you know that MoMA offers studio courses online? Check out the <a href="http://www.moma.org/learn/courses/online#self">list</a> of offerings including online courses on collage and painting techniques.';
catalog['Learn about the three types of influenza virus (Type A, Type B, and Type C) and what makes them differ from one another.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn about the three types of influenza virus (Type A, Type B, and Type C) and what makes them differ from one another.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn about the variations in human DNA called SNPs, and how they can be used to understand relationships between people.'] = 'Learn about the variations in human DNA called SNPs, and how they can be used to understand relationships between people.';
catalog['Learn about the work of the Getty Museum\'s antiquities conservation team.&nbsp;<span style="font-size: 14px;">Love art? </span><a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus" style="font-size: 14px;">Follow us on Google+</a>'] = 'Learn about the work of the Getty Museum\'s antiquities conservation team.&nbsp;<span style="font-size: 14px;">Love art? </span><a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus" style="font-size: 14px;">Follow us on Google+</a>';
catalog['Learn about the work of the Getty Museum\'s object conservation team. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>'] = 'Learn about the work of the Getty Museum\'s object conservation team. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>';
catalog['Learn about the work of the Getty Museum\'s paintings conservation team.&nbsp;<span style="font-size: 14px;">Love art? </span><a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus" style="font-size: 14px;">Follow us on Google+</a>'] = 'Learn about the work of the Getty Museum\'s paintings conservation team.&nbsp;<span style="font-size: 14px;">Love art? </span><a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus" style="font-size: 14px;">Follow us on Google+</a>';
catalog['Learn about the work of the Getty Museum\'s paper conservation team.&nbsp;<span style="font-size: 14px;">Love art? </span><a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus" style="font-size: 14px;">Follow us on Google+</a>'] = 'Learn about the work of the Getty Museum\'s paper conservation team.&nbsp;<span style="font-size: 14px;">Love art? </span><a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus" style="font-size: 14px;">Follow us on Google+</a>';
catalog['Learn about three types of retrieval: free recall, cued recall, and recognition.<br>'] = 'Learn about three types of retrieval: free recall, cued recall, and recognition.<br>';
catalog['Learn about tuberculosis and how it can be treated.'] = 'Learn about tuberculosis and how it can be treated.';
catalog['Learn about types of problems and common approaches to solving them.'] = 'Learn about types of problems and common approaches to solving them.';
catalog['Learn all about hypertension: symptoms, diagnosis, and how lifestyle changes can make a difference!'] = 'Lerne alles \u00fcber Bluthochdruck: Symptome, Diagnose und was eine \u00c4nderung des Lebensstils bewirken kann!';
catalog['Learn all of the different ways to maximize the amount of particles that diffuse over a short distance over time.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn all of the different ways to maximize the amount of particles that diffuse over a short distance over time.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn by doing exercises!'] = 'Durch \u00dcbungen lernen!';
catalog['Learn by watching videos!'] = 'Durch Videos lernen!';
catalog['Learn how Charlie used Khan Academy to jumpstart his college education.'] = 'Learn how Charlie used Khan Academy to jumpstart his college education.';
catalog['Learn how Dr. Korotkoff cleverly used a stethoscope to determine blood pressure, and that we still use his trick today!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn how Dr. Korotkoff cleverly used a stethoscope to determine blood pressure, and that we still use his trick today!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn how Franz Kline turned small sketches done on the pages of a phone book into large, gestural abstractions. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.'] = 'Learn how Franz Kline turned small sketches done on the pages of a phone book into large, gestural abstractions. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.';
catalog['Learn how Marcel Duchamp reconceived a standard unit of measure.&nbsp;To learn about other great moments in modern art, take our online course, <a href="http://www.moma.org/learn/courses/online#course5">Modern Art, 1880-1945</a>.'] = 'Learn how Marcel Duchamp reconceived a standard unit of measure.&nbsp;To learn about other great moments in modern art, take our online course, <a href="http://www.moma.org/learn/courses/online#course5">Modern Art, 1880-1945</a>.';
catalog['Learn how Type B Influenza virus has genetic drift, whereas Type A Influenza virus has genetic drift AND shift.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn how Type B Influenza virus has genetic drift, whereas Type A Influenza virus has genetic drift AND shift.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn how a mother is able to nourish a baby through breastfeeding'] = 'Lern wie eine Mutter ihr Baby durchs Stillen ern\u00e4hren kann';
catalog['Learn how a stethoscope can help determine blood pressure'] = 'Learn how a stethoscope can help determine blood pressure';
catalog['Learn how accurately Canaletto depicted Venice and compare the 18th-century city to the way it looks today. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'Learn how accurately Canaletto depicted Venice and compare the 18th-century city to the way it looks today. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['Learn how artists scratch and etch metal plates to create fine surface detail. Did you know that MoMA offers studio courses online? Check out the <a data-cke-saved-href="http://www.moma.org/learn/courses/online#self" href="http://www.moma.org/learn/courses/online#self">list</a> of offerings including online courses on collage and painting techniques.'] = 'Learn how artists scratch and etch metal plates to create fine surface detail. Did you know that MoMA offers studio courses online? Check out the <a data-cke-saved-href="http://www.moma.org/learn/courses/online#self" href="http://www.moma.org/learn/courses/online#self">list</a> of offerings including online courses on collage and painting techniques.';
catalog['Learn how asthma causes breathing difficulties in adults and children'] = 'Lern wie Asthma zu Atembeschwerden bei Kindern und Erwachsenen f\u00fchrt';
catalog['Learn how blood flows through the heart, and understand the difference between systemic and pulmonary blood flow.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn how blood flows through the heart, and understand the difference between systemic and pulmonary blood flow.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn how compliant arteries allows for a "Constant Pressure System" like a modern water gun!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn how compliant arteries allows for a "Constant Pressure System" like a modern water gun!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn how educators are redesigning schools and the use of time and teachers to create their most ideal blended learning environment.  Explore how to help students transition smoothly from traditional education to blended learning'] = 'Learn how educators are redesigning schools and the use of time and teachers to create their most ideal blended learning environment.  Explore how to help students transition smoothly from traditional education to blended learning';
catalog['Learn how flu viruses get into and out of your cells using Hemagglutinin and Neuraminidase proteins on their surface.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn how flu viruses get into and out of your cells using Hemagglutinin and Neuraminidase proteins on their surface.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn how hormones help to coordinate a baby\'s need for milk (sucking or crying) with a woman\'s release of milk.  \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn how hormones help to coordinate a baby\'s need for milk (sucking or crying) with a woman\'s release of milk.  \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn how molarity and molality differ!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn how molarity and molality differ!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn how our brain receives information from mechanoreceptors and then responds by controlling muscles in a well-coordinated system, and how all of this can lead to a sneeze, a cough, or even a hiccup!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn how our brain receives information from mechanoreceptors and then responds by controlling muscles in a well-coordinated system, and how all of this can lead to a sneeze, a cough, or even a hiccup!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn how oxygen content (CaO2) is related to Hemoglobin concentration (Hb), oxygen saturation (SaO2), and the partial pressure of oxygen (PaO2).  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Lerne, wie der Sauerstoffgehalt (CaO2) mit der H\u00e4moglobin-Konzentration (Hb), der Sauerstoffs\u00e4ttigung (SaO2) und dem Partialdruck von Sauerstoff (PaO2) zusammenh\u00e4ngt.  Rishi ist ein Arzt f\u00fcr p\u00e4diatrische Infektionskrankheiten und arbeitet f\u00fcr die Khan Academy.';
catalog['Learn how the Mantoux test is done and how it works.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn how the Mantoux test is done and how it works.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn how the lithographic process maintains the subtle hand of the artist. Did you know that MoMA offers studio courses online? To learn more, check out the <a data-cke-saved-href="http://www.moma.org/learn/courses/online#self" href="http://www.moma.org/learn/courses/online#self">list</a> of online course offerings.'] = 'Learn how the lithographic process maintains the subtle hand of the artist. Did you know that MoMA offers studio courses online? To learn more, check out the <a data-cke-saved-href="http://www.moma.org/learn/courses/online#self" href="http://www.moma.org/learn/courses/online#self">list</a> of online course offerings.';
catalog['Learn how the needs of the fetus are met by the placenta, which is a special organ that belongs to both the mother and the fetus!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn how the needs of the fetus are met by the placenta, which is a special organ that belongs to both the mother and the fetus!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn how the size of a tube (it\'s radius) is related to its resistance to something flowing through.   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn how the size of a tube (it\'s radius) is related to its resistance to something flowing through.   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn how the sympathetic and parasympathetic nerves regulate your heart in so many different ways!'] = 'Lerne wie das sympathische und das parasympathische Nervensystem dein Herz auf vielf\u00e4ltige Weise regulieren!';
catalog['Learn how there are two distinct Bohr effects happening at the same time in the placenta.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn how there are two distinct Bohr effects happening at the same time in the placenta.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn how to animate your drawings.'] = 'Lerne wie man Zeichnungen animiert.';
catalog['Learn how to display text on the canvas, resize it, color it, and animate it.'] = 'Lerne wie man Text auf dem Bildschirm darstellt, Farbe und Gr\u00f6\u00dfe ver\u00e4ndert und den Text animiert.';
catalog['Learn how to help prevent TB disease using Intensive case finding, Isoniazid, Isolation, and Immunization.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn how to help prevent TB disease using Intensive case finding, Isoniazid, Isolation, and Immunization.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn how to interpret and manipulate rational expressions.'] = 'Learn how to interpret and manipulate rational expressions.';
catalog['Learn how to make a simple side scroller, where you press a key to get your beaver to collect enough sticks for their den. You could easily extend this to make your favorite flappy game!'] = 'Learn how to make a simple side scroller, where you press a key to get your beaver to collect enough sticks for their den. You could easily extend this to make your favorite flappy game!';
catalog['Learn how to store complex data in objects.'] = 'Lerne komplexe Daten in Objekten zu speichern.';
catalog['Learn how to use three lab values (Sodium, glucose, and BUN) to approximate your plasma osmolarity.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn how to use three lab values (Sodium, glucose, and BUN) to approximate your plasma osmolarity.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn how total energy of a fluid helps explain why fluids can move from low pressure to high pressure!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn how total energy of a fluid helps explain why fluids can move from low pressure to high pressure!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn how watercolors are made and Paul C\u00e9zanne\'s unique approach to the medium. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Learn how watercolors are made and Paul C\u00e9zanne\'s unique approach to the medium. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Learn more about photosynthesis and cellular respiration through a classic story: Jack and the Beanstalk.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn more about photosynthesis and cellular respiration through a classic story: Jack and the Beanstalk.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn some basics about the Health Care system in the US'] = 'Lernen Sie einige Grundlagen \u00fcber das Gesundheitssystem in den USA';
catalog['Learn some common excuses for not getting the flu vaccine, and some key information relevant to each one.  \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn some common excuses for not getting the flu vaccine, and some key information relevant to each one.  \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn some important differences between arteries (high pressure/low volume) and veins (low pressure/high volume).  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn some important differences between arteries (high pressure/low volume) and veins (low pressure/high volume).  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn some key features of primary TB and how it differs from secondary TB.  Rishi is a pediatric infectious disease physician and works at Khan Academy.These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn some key features of primary TB and how it differs from secondary TB.  Rishi is a pediatric infectious disease physician and works at Khan Academy.These videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn some of the fundamentals behind staying healthy: Reducing your salt, keeping your weight in a healthy range, and exercising regularly.'] = 'Lerne einige der Grundlagen wie man gesund bleibt: Salz reduzieren, Gewicht im gesunden Bereich halten und regelm\u00e4\u00dfig trainieren.';
catalog['Learn the basic anatomy of the breast and how it\'s designed to nourish a baby with milk.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn the basic anatomy of the breast and how it\'s designed to nourish a baby with milk.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn the basic organization of the periodic table and what it tells us about the chemical elements.<br>'] = 'Learn the basic organization of the periodic table and what it tells us about the chemical elements.<br>';
catalog['Learn the categories of hypertension for systolic and diastolic blood pressures.   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn the categories of hypertension for systolic and diastolic blood pressures.   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn the common symptoms of the flu and how it can be diagnosed.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn the common symptoms of the flu and how it can be diagnosed.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn the difference between Arteriosclerosis, Arteriolosclerosis, and Atherosclerosis!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn the difference between Arteriosclerosis, Arteriolosclerosis, and Atherosclerosis!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn the difference between blood flow (Volume/time) and perfusion (Volume/time/amount of tissue).  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn the difference between blood flow (Volume/time) and perfusion (Volume/time/amount of tissue).  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn the difference between the cold and the flu, and how we sometimes can get fooled by viruses!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn the difference between the cold and the flu, and how we sometimes can get fooled by viruses!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn the difference between the pulmonary and systemic circulatory systems in the body.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn the difference between the pulmonary and systemic circulatory systems in the body.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn the differences between Assets and Liabilities, and how to calculate Total Equity.  Understand Balance Sheet items like Cash, Accounts Receivable, and Deferred Revenue.'] = 'Learn the differences between Assets and Liabilities, and how to calculate Total Equity.  Understand Balance Sheet items like Cash, Accounts Receivable, and Deferred Revenue.';
catalog['Learn the differences between Revenue and Expenses, and how they are accounted for to derive Net Income on the Balance Sheet'] = 'Learn the differences between Revenue and Expenses, and how they are accounted for to derive Net Income on the Balance Sheet';
catalog['Learn the differences between continuous, fenestrated, and discontinuous capillaries, and how they affect the movement of molecules.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn the differences between continuous, fenestrated, and discontinuous capillaries, and how they affect the movement of molecules.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn the differences between these blood vessels!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn the differences between these blood vessels!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn the different types of drug-resistant TB \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn the different types of drug-resistant TB \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn the effects that TB has on the lungs and some important clinical clues.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn the effects that TB has on the lungs and some important clinical clues.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn the fundamental principles about how natural selection can drive the process of evolution.&nbsp; By Ross Firestone.'] = 'Learn the fundamental principles about how natural selection can drive the process of evolution.&nbsp; By Ross Firestone.';
catalog['Learn the fundamentals of programming on the Khan Academy Computer Science platform. Explore programs made by others. Write your own programs and share them!'] = 'Lerne die Grundlagen der Programmierung auf der Khan Academy Informatik Plattform. Erkunde die von anderen erstellten Programme. Schreibe eigene Programme und teile sie mit anderen!';
catalog['Learn the important cells and hormones that are working together to control your blood pressure!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn the important cells and hormones that are working together to control your blood pressure!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn the key triggers for ADH secretion.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn the key triggers for ADH secretion.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn the mechanics of breathing, and how breathing air in is quite different from breathing air out.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn the mechanics of breathing, and how breathing air in is quite different from breathing air out.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn the most common symptoms (or lack thereof!) and the two major categories of hypertension.   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn the most common symptoms (or lack thereof!) and the two major categories of hypertension.   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn the physics behind how quadrotors fly and find out how they can by themselves without human help.'] = 'Learn the physics behind how quadrotors fly and find out how they can by themselves without human help.';
catalog['Learn the properties of enamel paint and why artists use it. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.'] = 'Learn the properties of enamel paint and why artists use it. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.';
catalog['Learn the three major triggers for Renin production by the Juxtaglomerular cells.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Learn the three major triggers for Renin production by the Juxtaglomerular cells.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Learn the two ways that oxygen moves from the lungs to the tissues, and the three ways that carbon dioxide returns from the tissues to the lungs.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Lerne die zwei Wege, wie sich Sauerstoff von der Lunge zum Gewebe bewegt und drei Wege, wie CO2 vom Gewebe zur\u00fcck in die Lunge kommt.  Rishi ist Kinderarzt f\u00fcr Infektionskrankheiten und arbeitet f\u00fcr die Khan Academy.';
catalog['Learn to read a growth curve which measures height and weight as we grow older!\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn to read a growth curve which measures height and weight as we grow older!\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn to tell time with some fun exercises!'] = 'Lerne, mit einigen lustigen \u00dcbungen die Uhrzeit zu bestimmen!';
catalog['Learn to use &quot;claim testers&quot; to evaluate information and decide what you believe!'] = 'Learn to use &quot;claim testers&quot; to evaluate information and decide what you believe!';
catalog['Learn when testing for influenza makes sense, and the most common test that is used.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn when testing for influenza makes sense, and the most common test that is used.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn which medications help prevent active TB disease.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Learn which medications help prevent active TB disease.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Learn why Willem de Kooning added raw egg to his paint. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.&nbsp;'] = 'Learn why Willem de Kooning added raw egg to his paint. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.&nbsp;';
catalog['Learn why humans, more than any other species, have made such a profound impression on the biosphere.<br>'] = 'Learn why humans, more than any other species, have made such a profound impression on the biosphere.<br>';
catalog['Learning - Passage 1'] = 'Learning - Passage 1';
catalog['Learning - Passage 2'] = 'Learning - Passage 2';
catalog['Learning about learning'] = '\u00dcber das Lernen lernen';
catalog['Learning'] = 'Learning';
catalog['Least Common Multiple (LCM)'] = 'Kleinstes gemeinsames Vielfaches (KGV)';
catalog['Least common multiple (LCM)'] = 'Kleinstes gemeinsames Vielfaches (KGV)';
catalog['Least common multiple exercise 2'] = 'Kleinstes gemeinsames Vielfaches - Beispiel 2';
catalog['Least common multiple exercise'] = 'Kleinstes gemeinsames Vielfaches - Beispiel';
catalog['Least common multiple'] = 'Das kleinste gemeinsame Vielfache';
catalog['Least squares approximation'] = 'Least squares approximation';
catalog['Least squares examples'] = 'Least squares examples';
catalog['Leave your homework in the comments. Extra points for clarity and conciseness!\n\nSpecial thanks to my peeps at NYU where the idea for this video popped up during discussion.'] = 'Leave your homework in the comments. Extra points for clarity and conciseness!\n\nSpecial thanks to my peeps at NYU where the idea for this video popped up during discussion.';
catalog['Lee Quinones on graffiti'] = 'Lee Quinones on graffiti';
catalog['Lee Quinones talks about the unique styles used by graffiti artists. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.<br>'] = 'Lee Quinones talks about the unique styles used by graffiti artists. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.<br>';
catalog['Left over tea from party'] = 'Wieviel Tee ist von der Party \u00fcbrig geblieben?';
catalog['Left ventricular pressure vs. time'] = 'Left ventricular pressure vs. time';
catalog['Left ventricular volume changes over time in a way that makes a curious looking graph.  Learn more in this video!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Left ventricular volume changes over time in a way that makes a curious looking graph.  Learn more in this video!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Left ventricular volume vs. time'] = 'Left ventricular volume vs. time';
catalog['Lego robotics'] = 'Lego robotics';
catalog['Leighton, an Athlete Wrestling with a Python'] = 'Leighton, an Athlete Wrestling with a Python';
catalog['Length of an arc that subtends a central angle'] = 'Length of an arc that subtends a central angle';
catalog['Length word problems'] = 'Textaufgaben zu L\u00e4ngen';
catalog['Leonarda da Vinci\'s Letter to the Duke of Milan\n\nSpeaker: Dr. David Drogin\n\nOn Smarthistory: http://smarthistory.khanacademy.org/leonardo-notebooks.html'] = 'Leonarda da Vinci\'s Letter to the Duke of Milan\n\nSpeaker: Dr. David Drogin\n\nOn Smarthistory: http://smarthistory.khanacademy.org/leonardo-notebooks.html';
catalog['Leonardo da Vinci, Adoration of the Magi, 1481, oil on panel (Galleria degli Uffizi, Florence)\n\nhttp://smarthistory.khanacademy.org/leonardo-adoration-of-the-magi.html'] = 'Leonardo da Vinci, Adoration of the Magi, 1481, oil on panel (Galleria degli Uffizi, Florence)\n\nhttp://smarthistory.khanacademy.org/leonardo-adoration-of-the-magi.html';
catalog['Leonardo da Vinci, Last Supper, oil, tempera, fresco, 1495-98 (Santa Maria delle Grazie, Milan)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://smarthistory.org/leonardo-last-supper.html'] = 'Leonardo da Vinci, Das Abendmahl, \u00d6l, Tempera, Fresko, 1495-98 (Santa Maria Delle Grazie, Mailand) \n\nDialog: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://smarthistory.org/leonardo-last-supper.html';
catalog['Leonardo da Vinci, Letter to the Duke of Milan'] = 'Leonardo da Vinci, Letter to the Duke of Milan';
catalog['Leonardo da Vinci, The Virgin and Child with St Anne and St John the Baptist  (Burlington House Cartoon), 1499-1500, charcoal and chalk on paper, 55.7 \u00d7 41.2 inches \nc. 1499-1500 (National Gallery, London)\n\nhttp://www.smarthistory.org/the-virgin-and-child-with-st-anne-and-st-john-the-baptist.html'] = 'Leonardo da Vinci, The Virgin and Child with St Anne and St John the Baptist  (Burlington House Cartoon), 1499-1500, charcoal and chalk on paper, 55.7 \u00d7 41.2 inches \nc. 1499-1500 (National Gallery, London)\n\nhttp://www.smarthistory.org/the-virgin-and-child-with-st-anne-and-st-john-the-baptist.html';
catalog['Leonardo da Vinci, The Virgin of the Rocks, c. 1491-1508, 189.5 x 120 cm, oil on panel, National Gallery (London)'] = 'Leonardo da Vinci, The Virgin of the Rocks, c. 1491-1508, 189.5 x 120 cm, oil on panel, National Gallery (London)';
catalog['Leonardo, Adoration of the Magi'] = 'Leonardo, Adoration of the Magi';
catalog['Leonardo, Last Supper'] = 'Leonardo, Das Abendmahl';
catalog['Leonardo, Mona Lisa'] = 'Leonardo, Mona Lisa';
catalog['Leonardo, Virgin and Child with St Anne and St John the Baptist (Burlington House Cartoon)'] = 'Leonardo, Virgin and Child with St Anne and St John the Baptist (Burlington House Cartoon)';
catalog['Leonardo, Virgin of the Rocks'] = 'Leonardo, Virgin of the Rocks';
catalog['Les Miserables and France\'s many revolutions'] = 'Les Miserables und Frankreichs viele Revolutionen';
catalog['Let&#39;s explore what enzymes are, and how they can affect a reaction. The most important affect you need to know is its ability to &quot;catalyze&quot; the reaction.&nbsp;By Ross Firestone.'] = 'Let&#39;s explore what enzymes are, and how they can affect a reaction. The most important affect you need to know is its ability to &quot;catalyze&quot; the reaction.&nbsp;By Ross Firestone.';
catalog['Let&#39;s identify (and graph) a couple of more conics!'] = 'Lass uns noch einige Kegelschnitte identifizieren und zeichnen!';
catalog['Let\'s apply our knowledge of ratios in real-world settings!\n\nCommon Core Standards: 6.RP.A.3, 6.RP.A.3a\n'] = 'Wenden wir unsere Kenntnisse \u00fcber Anteile in der realen Welt an! \n\nCommon Core Standards: 6.RP.A.3, 6.RP.A.3a\n';
catalog['Let\'s calculate the integral from the last video.'] = 'Let\'s calculate the integral from the last video.';
catalog['Let\'s complement and supplement our knowledge of angles with some new vocabulary. Onward!\n\nCommon Core Standards: 7.G.B.5'] = 'Wir erg\u00e4nzen unser Wissen \u00fcber Winkel mit einigen neuen Begriffen. Weiter! \n\nCommon Core Standards: 7.G.B.5';
catalog['Let\'s construct and interpret expressions from word problems.  We can also think about what the effects of parentheses are.'] = 'Lass uns Ausdr\u00fccke aus Textaufgaben aufstellen und interpretieren! Wir k\u00f6nnen auch dar\u00fcber nachdenken welche Auswirkungen Klammern haben.';
catalog['Let\'s continue on the multiplication and division adventure that was started in third grade--now we\'ll think about these operations with multi-digit numbers and discover that we sometimes have something left over, or a remainder, when we divide.'] = 'Lass uns das Abenteuer der Multiplikation und Division fortsetzen, das in der 3. Klasse begann! Jetzt stellen wir uns diese Operationen mit mehrstelligen Zahlen vor und entdecken, dass beim Dividieren manchmal etwas \u00fcbrig bleibt, ein Rest.';
catalog['Let\'s continue our deep voyage through the world of transformations by thinking about how points map to each other after a transformation.'] = 'Machen wir weiter mit unserer Reise durch die Welt von Transformationen indem wir dar\u00fcber nachdenken, wie Punkte  nach einer Transformation zueinander stehen.';
catalog['Let\'s draw points, lines, line segments, and rays.  We\'ll also think about perpendicular and parallel lines and identify these in two-dimensional figures.\n\nCommon Core Standard: 4.G.A.1'] = 'Lass uns Punkte, Geraden, Strecken und Strahlen zeichnen! WIr denken auch an senkrechte und parallele Geraden und erkennen sie in zwei-dimensionalen Figuren.\n\nCommon Core Standard: 4.G.A.1';
catalog['Let\'s escape from the binds of one-dimension (where we were forced to launch things straight up) and start launching at angles.  With a little bit of trig (might want to review sin and cos) we\'ll be figuring out just how long and far something can travel.'] = 'Let\'s escape from the binds of one-dimension (where we were forced to launch things straight up) and start launching at angles.  With a little bit of trig (might want to review sin and cos) we\'ll be figuring out just how long and far something can travel.';
catalog['Let\'s evaluate the double integrals with y=x^2 as one of the boundaries.'] = 'Let\'s evaluate the double integrals with y=x^2 as one of the boundaries.';
catalog['Let\'s explore how numbers can grow in different ways and use what we learn to figure out where they can go.  We think you\'ll find this tutorial on number patterns more fun that you do :)\n\n'] = 'Lass uns erkunden, wie Zahlen auf verschiedene Weise wachsen k\u00f6nnen, und lass uns das Gelernte nutzen, um herauszufinden, wohin sie sich entwickeln! Wir denken, du wirst an diesem Tutorial \u00fcber Zahlenmuster mehr Spa\u00df haben als du denkst :)\n\n';
catalog['Let\'s explore how we can regroup and redistribute value among the various place values in a decimal number.'] = 'Lass uns untersuchen, wie wir Werte umgruppieren und zwischen den einzelnen Stellen einer Dezimalzahl verteilen k\u00f6nnen.';
catalog['Let\'s explore how we can regroup and redistribute value among the various place values in a decimal number.\n\nCommon Core Standard: 5.NBT.A.1'] = 'Lass uns untersuchen, wie wir Werte an verschiedenen Dezimalstellen einer Zahl \u00fcbertragen und verteilen k\u00f6nnen.';
catalog['Let\'s explore how we can think about dividing a fraction by a whole number and a whole number by a fraction.  This is more useful than you might think!'] = 'Untersuchen wir einmal, wie man sich das vorstellen kann, einen Bruch durch eine ganze Zahl und eine ganze Zahl durch einen Bruch zu dividieren.  Das ist sinnvoller, als du vielleicht denkst!';
catalog['Let\'s explore one of the most fundamental ways to solve a quadratic equation when it is already written in terms of a square of an expression in x--solve for the expression and take the square root.  As we\'ll see, equations are not always in this form, and that is where completing the square--which puts equations in this form--is essential!'] = 'Erforsche eine der grundlegendsten M\u00f6glichkeiten, eine quadratische Gleichung zu l\u00f6sen, wenn sie bereits in Quadratform vorliegt (als Quadrat eines Ausdrucks mit x), indem du die Quadratwurzel ziehst.  Wie wir sehen werden, sind Gleichungen nicht immer in dieser Form, und das ist, wo wir das Quadrat erg\u00e4nzen. Das ist sehr wichtig!';
catalog['Let\'s explore the volume and surface area of 3D shapes.\n\nCommon Core Standards: 6.G.A.2, 6.G.A.4'] = 'Entdecke Volumen und Oberfl\u00e4che von 3-D Formen.\n\nCommon Core Standards: 6.G.A.2, 6.G.A.4';
catalog['Let\'s extend what we know about multiplying and dividing fractions to rational expressions.  It may look complicated, but it really is about applying some core principles of what fractions represent.'] = 'Wir erweitern, was wir schon \u00fcber die Multiplikation und Division von Br\u00fcchen in rationale Ausdr\u00fccke wissen.  Es kann kompliziert aussehen, aber es geht wirklich nur um die Anwendung einiger Grundprinzipien, was Br\u00fcche darstellen.';
catalog['Let\'s find out more about this invisible force which guides the compass. How strong is it? What shape is it?'] = 'Let\'s find out more about this invisible force which guides the compass. How strong is it? What shape is it?';
catalog['Let\'s find the general solution!'] = 'Finden wir die allgemeine L\u00f6sung!';
catalog['Let\'s flip a coin.'] = 'Lasst uns eine M\u00fcnze werfen.';
catalog['Let\'s get an intuitive understanding for symmetry of two dimensional shapes.'] = 'Lasst uns ein intuitives Verst\u00e4ndnis f\u00fcr die Symmetrie von zwei-dimensionalen Formen bekommen.';
catalog['Let\'s get our feet wet by thinking in terms of vectors and spaces.'] = 'Lass uns ein wenig in die Welt der Vektoren und R\u00e4ume schnuppern.';
catalog['Let\'s integrate dy first!'] = 'Let\'s integrate dy first!';
catalog['Let\'s introduce ourselves to two of the most fundamental ideas in all of mathematics:  multiplication and division!'] = 'Stellen wir uns zwei der grundlegendsten Ideen aller Mathematik vor: Multiplikation und Division!';
catalog['Let\'s introduce ourselves to two of the most fundamental ideas in all of mathematics: multiplication and division!\n\nCommon Core Standards: 3.OA.A.1, 3.OA.A.2'] = 'Wir f\u00fchren uns an zwei der grundlegendsten Ideen der Mathematik heran: Multiplikation und Division! \n\nCommon Core Standards: 3.OA.A. 1, 3.OA.A. 2';
catalog['Let\'s jump out of that boring (okay, it wasn\'t THAT boring) 2-D world into the exciting 3-D world that we all live and breath in.  Instead of functions of x that can be visualized as lines, we can have functions of x and y that can be visualized as surfaces.  But does the idea of a derivative still make sense?  Of course it does!  As long as you specify what direction you\'re going in. Welcome to the world of partial derivatives!'] = 'Let\'s jump out of that boring (okay, it wasn\'t THAT boring) 2-D world into the exciting 3-D world that we all live and breath in.  Instead of functions of x that can be visualized as lines, we can have functions of x and y that can be visualized as surfaces.  But does the idea of a derivative still make sense?  Of course it does!  As long as you specify what direction you\'re going in. Welcome to the world of partial derivatives!';
catalog['Let\'s learn to divide any whole number by any other!\n\n\nCommon Core Standard: 5.NBT.B.6\t\n'] = 'Lass uns lernen, wie wir jede beliebige ganze Zahl durch eine beliebige andere dividieren k\u00f6nnen!';
catalog['Let\'s now apply your new found understanding of multiplication and division!\n\nCommon Core Standards: 3.OA.A.3, 3.OA.A.4, 3.OA.B.6\t'] = 'Wenden wir unser neues Verst\u00e4ndnis der Multiplikation und Division jetzt einmal an! \n\nCommon Core Standards: 3.OA.A. 3, 3.OA.A. 4, 3.OA.B.6\t';
catalog['Let\'s now extend our understanding of area to triangles and more interesting quadrilaterals!\n\nCommon Core Standard: 6.G.A.1'] = 'Jetzt erweitern wir unser Verst\u00e4ndnis von Fl\u00e4chen von Dreiecken und den interessanteren Vierecken! \n\nCommon Core Standard: 6.G.A.1';
catalog['Let\'s now extend the domain of the trig function we love by exploring the unit circle definition of trig functions!'] = 'Let\'s now extend the domain of the trig function we love by exploring the unit circle definition of trig functions!';
catalog['Let\'s now get a better understanding of the different derivative-related notations and use them to better understand properties of derivatives.'] = 'Jetzt ist es an der Zeit, dass du ein besseres Verst\u00e4ndnis der verschiedenen Schreibweisen von Ableitungen bekommst. Dadurch erlangst du auch weitere Einsichten in die Eigenschaften von Ableitungen.';
catalog['Let\'s now use our mathematical toolkit to discover and make use of patterns!  This is a seriously fun tutorial.'] = 'Lassen Sie uns jetzt unsere mathematische Werkzeugkiste verwenden, um Muster zu entdecken und anzuwenden!  Das ist wirklich ein lustiges Tutorial.';
catalog['Let\'s say you\'re me and you\'re in math class\u2026'] = 'Nehmen wir an, du bist ich, und du bist in der Mathe-Klasse...';
catalog['Let\'s see how to find the volumes of cylinders, spheres and other three dimensional shapes.\n\nCommon Core Standard: 8.G.C.9'] = 'Schauen wir mal wie wir das Volumen von Kreiszylindern, Kugeln und anderen dreidimensionalen K\u00f6rpern, ermitteln k\u00f6nnen.\n\nCommon Core Standard: 8.G.C.9';
catalog['Let\'s see if we can prove the angle addition formulas for sine and cosine!'] = 'Let\'s see if we can prove the angle addition formulas for sine and cosine!';
catalog['Let\'s solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. \n\nCommon Core Standard: 4.MD.A.2\t'] = 'Lass uns Textaufgaben l\u00f6sen, in denen es um Entfernungen, Zeitabst\u00e4nde, Fl\u00fcssigkeitshohlma\u00dfe, Massen von Objekten und Geld geht, und auch Aufgaben mit einfachen Br\u00fcchen oder Dezimalzahlen sowie Aufgaben, bei denen man Ma\u00dfe, die in einer gr\u00f6\u00dferen Einheit angegeben sind, in einer kleineren Einheit ausdr\u00fccken muss. \n\nCommon Core Standard: 4.MD.A.2\t';
catalog['Let\'s start constructing numbers that have both a real and imaginary part.  We\'ll call them complex.  We can even plot them on the complex plane and use them to find the roots of ANY quadratic equation.  The fun must not stop!'] = 'Lasst uns Zahlen konsturieren, die sowohl einen reellen, als auch einen imagin\u00e4ren Anteil haben. Wir nennen sie komplex. Wir k\u00f6nnen sie sogar in der komplexen Ebene einzeichnen und sie nutzen um die Wurzel JEDER BELIEBIGEN quadratischen Gleichung zu finden. Der Spa\u00df darf nie aufh\u00f6ren!';
catalog['Let\'s test our understanding of decimals by comparing them to one another!'] = 'Lass uns unser Verst\u00e4ndnis der Kommazahlen testen, indem wir sie miteinander vergleichen!';
catalog['Let\'s test our understanding of decimals by comparing them to one another!\n\nCommon Core Standard: 5.NBT.A.3b'] = 'Lass uns unser Verst\u00e4ndnis von Dezimalstellen pr\u00fcfen indem wir sie miteinander vergleichen!';
catalog['Let\'s think about where decimals are on a number line.  It will help us understand what decimals represent in general!'] = 'Denken wir jetzt dar\u00fcber nach, wo Dezimalzahlen auf dem Zahlenstrahl zu finden sind. Dies wird uns helfen zu verstehen, was Dezimalzahlen im Allgemeinen darstellen!';
catalog['Let\'s think more visually about things like shifts, rotations, scaling and symmetry.'] = 'Lass uns mal etwas bildhafter \u00fcber so Dinge wie Rotationen, Verschiebungen, Skalierungen und Symmetrie nachdenken.';
catalog['Let\'s use our algebra tools to solve problems of earth-shattering importance (like which gym plan you should choose)!\n\nCommon Core Standard: 6.EE.B.6\t'] = 'Benutzen wir unsere Algebra-Werkzeuge um Probleme von weltbewegender Bedeutung zu l\u00f6sen (so wie welchen Fitness-Plan du w\u00e4hlen solltest)! \n\nCommon Core Standard: 6.EE.B.6\t';
catalog['Let\'s use some initial conditions to solve for the particular solution'] = 'Let\'s use some initial conditions to solve for the particular solution';
catalog['Let\'s use some mathematical tools to visualize and interpret some patterns involving the coordinate plane.'] = 'Lasst uns einige mathematische Werkzeuge verwenden, um Folgen mit dem Koordinatensystem zu visualisieren und zu interpretieren.';
catalog['Let\'s use some pretty cool software widgets to see how we can transform a shape through translations, rotations, dilations and reflections.'] = 'Verwenden wir ziemlich coole Software-Widgets um zu sehen, wie wir durch Verschiebung, Drehung, Streckung und Spiegelung eine Form verwandeln k\u00f6nnen.';
catalog['Let\'s use what we know about geometry to answer some really, really interesting questions.'] = 'Lasst uns unser Wissen \u00fcber die Geometrie verwenden, um einige wirklich interessante Fragen beantworten zu k\u00f6nnen. (ja, wirklich!)';
catalog['Lets change the discount rates depending on how far out the payments are.'] = 'Lets change the discount rates depending on how far out the payments are.';
catalog['Lets do an example with initial conditions!'] = 'Lets do an example with initial conditions!';
catalog['Lev Tanju, the driving force between London skateboard company Palace, has created a unique set of decks inspired by art on show at Tate Britain.&nbsp;He talks us through the design process and we follow him and his team of skateboarders out on a test run.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.'] = 'Lev Tanju, the driving force between London skateboard company Palace, has created a unique set of decks inspired by art on show at Tate Britain.&nbsp;He talks us through the design process and we follow him and his team of skateboarders out on a test run.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.';
catalog['Level 2 addition'] = 'Stufe 2 Addition';
catalog['Level 2 with phase shift!'] = 'Level 2 with phase shift!';
catalog['Level 4 division'] = 'Level 4 Division';
catalog['Leveraged buy-outs'] = 'Leveraged buy-outs';
catalog['Leveraging properties of series to find sum'] = 'Leveraging properties of series to find sum';
catalog['Leveraging the power of Chuck Norris to understand combining like terms in expressions'] = 'Die Kraft von Chuck Norris nutzen, um das Zusammenfassen von gleichartigen Termen in Ausdr\u00fccke zu verstehen';
catalog['Liar truth-teller brain teaser'] = 'Denksportaufgabe: Das L\u00fcgner Paradoxon';
catalog['Lichtenstein, Rouen Cathedral Set V'] = 'Lichtenstein, Rouen Cathedral Set V';
catalog['Life (and death) of stars'] = 'Leben (und Sterben) von Sternen';
catalog['Life Looks for Life'] = 'Leben Sucht nach Leben';
catalog['Life and death of stars'] = 'Das Leben und Sterben der Sterne';
catalog['Life and photosynthesis start to thrive in the Archean Eon'] = 'Leben und Photosynthese beginnen, in der Urzeit zu gedeihen';
catalog['Life can be fragile. The continued existence of a species can depend on even the slightest changes to astronomical, geological, and biological conditions.'] = 'Life can be fragile. The continued existence of a species can depend on even the slightest changes to astronomical, geological, and biological conditions.';
catalog['Life in Italian limestone'] = 'Life in Italian limestone';
catalog['Life in all its forms'] = 'Life in all its forms';
catalog['Life in the Universe'] = 'Leben im Universum';
catalog['Life in the universe'] = 'Leben im Universum';
catalog['Life insurance'] = 'Lebensversicherung';
catalog['Life is abundant on Earth, but is distributed unevenly, with species richness and population sizes greater in some areas than others. The physical environment, other organisms, evolutionary factors, and human actions all influence where species live.'] = 'Life is abundant on Earth, but is distributed unevenly, with species richness and population sizes greater in some areas than others. The physical environment, other organisms, evolutionary factors, and human actions all influence where species live.';
catalog['Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon.  Most of them have no idea what they are talking about.  Don\'t be one of those people or their victims when it comes to stocks.\n\nFrom P/E rations to EV/EBITDA, we\'ve got your back!'] = 'Das Leben ist voller Leuten die versuchen werden dich davon zu \u00fcberzeugen, dass etwas gut oder schlecht ist indem sie mit komplizierter Fachsprache um sich werfen. Die meisten haben keine Idee wovon sie reden. Sei nicht einer von diesen Leuten (oder Opfer dieser Leute) wenn es um Aktien geht.\n\nVon KGV \u00fcber den Unternehmenswert bis hin zum Gewinn vor Steuern, wir unterst\u00fctzen dich dabei!';
catalog['Life is good, but it can always get better.  Just imagine being able to find the smallest number that is a multiple of two other numbers!  Other than making your life more fulfilling, it will allow you to do incredible things like adding fractions.'] = 'Das Leben ist sch\u00f6n, kann aber auch immer noch sch\u00f6ner werden. Stell dir einmal vor, die kleinste Zahl zu finden, die ein Vielfaches von zwei anderen Zahlen ist. Das gibt deinem Leben zum Einen eine gewisse Erf\u00fcllung, und es wird dich daneben auch so unglaubliche Dinge tun lassen wie das Zusammenz\u00e4hlen von Br\u00fcchen.';
catalog['Life is good, but it can always get better. Just imagine being able to find the smallest number that is a multiple of two other numbers! Other than making your life more fulfilling, it will allow you to do incredible things like adding fractions.\n\nCommon Core Standard: 6.NS.B.4'] = 'Das Leben ist sch\u00f6n, kann aber auch immer noch sch\u00f6ner werden. Stell dir einmal vor, du kannst die kleinste Zahl finden, die ein Vielfaches von zwei anderen Zahlen ist! Es wird deinem Leben nicht nur mehr Erf\u00fcllung bringen, sondern es wird dir auch erm\u00f6glichen, so unglaubliche Dinge zu tun, wie das Zusammenz\u00e4hlen von Br\u00fcchen.\n\nCommon Core Standard: 6.NS.B.4';
catalog['Life of Benjamin Franklin'] = 'Life of Benjamin Franklin';
catalog['Life of a company--from birth to death'] = 'Life of a company--from birth to death';
catalog['Life on Earth and in the Universe'] = 'Leben auf der Erde und im Universum';
catalog['Life on earth and in the universe'] = 'Leben auf der Erde und im Universum';
catalog['Life on earth'] = 'Life on earth';
catalog['Life, liberty and the pursuit of happiness'] = 'Life, liberty and the pursuit of happiness';
catalog['Life\'s evolutionary story'] = 'Life\'s evolutionary story';
catalog['Lifecycle of Massive Stars'] = 'Lebenszyklus von massereichen Sternen';
catalog['Lifecycle of massive stars'] = 'Lifecycle of massive stars';
catalog['Light Guitar'] = 'Light Guitar';
catalog['Light and color'] = 'Light and color';
catalog['Light and electromagnetic radiation'] = 'Licht und elektromagnetische Strahlung';
catalog['Light and fundamental forces'] = 'Licht und fundamentale Kr\u00e4fte';
catalog['Light bulb switching brain teaser'] = 'Light bulb switching brain teaser';
catalog['Light guitar in action!'] = 'Light guitar in action!';
catalog['Light guitar'] = 'Light guitar';
catalog['Light into sound introduction'] = 'Light into sound introduction';
catalog['Like detectives solving a murder mystery, historians use artifacts and written records of past civilizations as clues to understand our history as a species.\n'] = 'Like detectives solving a murder mystery, historians use artifacts and written records of past civilizations as clues to understand our history as a species.\n';
catalog['Like people, mathematical relations are not always explicit about their intentions.  In this tutorial, we\'ll be able to take the derivative of one variable with respect to another even when they are implicitly defined (like "x^2 + y^2 = 1").'] = 'Wie Menschen zeigen mathematische Beziehungen nicht immer explizit \u00fcber ihre Zweck.  In diesem Tutorial werden wir in der Lage, die Ableitung einer Variablen in Bezug auf eine andere zu bilden, selbst wenn sie implizit definiert sind (wie "X ^ 2 + y ^ 2 = 1").';
catalog['Like the "Why of algebra" and "Super Yoga plans" tutorials, we\'ll introduce you to the most fundamental ideas of what equations mean and how to solve them.  We\'ll then do a bunch of examples to make sure you\'re comfortable with things like 3x \u2013 7 = 8.  So relax, grab a cup of hot chocolate, and be on your way to becoming an algebra rockstar.\n\nAnd, by the way, in any of the "example" videos, try to solve the problem on your own before seeing how Sal does it.  It makes the learning better!'] = 'Wie in den Tutorials "Warum Algebra" und "Super Yoga Pl\u00e4ne" werden wir dir hier zuerst die grundlegende Bedeutung von Gleichungen vermitteln und dich in ihre L\u00f6sung einf\u00fchren. Dann gehen wir eine Reihe von Beispielen durch, um sicherzugehen, dass du dich mit so etwas wie 3x - 7 = 8 wohl f\u00fchlst. Entspann dich also, hole dir eine Tasse hei\u00dfe Schokolade und schon bist du auf dem Weg zum Algebra-Experten.\n\nAch, noch eines, versuche in den Beispielvideos   das Problem selbst zu l\u00f6sen, bevor du dir anschaust, wie Sal es macht. So lernst du besser!';
catalog['Like the "Why of algebra" and "Super Yoga plans" tutorials, we\'ll introduce you to the most fundamental ideas of what equations mean and how to solve them. We\'ll then do a bunch of examples to make sure you\'re comfortable with things like 3x \u2013 7 = 8. So relax, grab a cup of hot chocolate, and be on your way to becoming an algebra rockstar. And, by the way, in any of the "example" videos, try to solve the problem on your own before seeing how Sal does it. It makes the learning better!\n\nCommon Core Standard: 6.EE.B.7'] = 'Wie in den Tutorials "Warum Algebra" und "Super Yoga Pl\u00e4ne" werden wir dir hier zuerst die grundlegende Bedeutung von Gleichungen vermitteln und wie sie zu l\u00f6sen sind. Dann gehen wir eine Reihe von Beispielen durch, um sicherzugehen, dass du dich mit so etwas wie 3x - 7 = 8 wohl f\u00fchlst. Entspann dich also, hole dir eine Tasse hei\u00dfe Schokolade und schon bist du auf dem Weg zum Algebra-Experten.\n\nAch, noch eines, versuche in den Beispiel-Videos zuerst das Problem selbst zu l\u00f6sen, bevor du dir anschaust, wie Sal es macht. So lernst du besser!\n\nCommon Core Standard: 6.EE.B.7';
catalog['Limit and function defined at point of discontinuity'] = 'Limit and function defined at point of discontinuity';
catalog['Limit at a point of discontinuity'] = 'Grenzwert an einer Unstetigkeitsstelle';
catalog['Limit basics'] = 'Grenzwert Grundlagen';
catalog['Limit by factoring cubic expression'] = 'Limit by factoring cubic expression';
catalog['Limit example 1'] = 'Limit example 1';
catalog['Limit examples (part 1)'] = 'Limit examples (part 1)';
catalog['Limit examples (part 2)'] = 'Limit examples (part 2)';
catalog['Limit examples (part 3)'] = 'Limit examples (part 3)';
catalog['Limit examples w/ brain malfunction on first prob (part 4)'] = 'Limit examples w/ brain malfunction on first prob (part 4)';
catalog['Limit introduction, squeeze theorem, and epsilon-delta definition of limits'] = 'Einf\u00fchrung in Grenzwerte,  Einschn\u00fcrungssatz und das Epsilon-Delta-Kriterium';
catalog['Limit intuition review'] = 'Nachbesprechung des Gesp\u00fcrs f\u00fcr Schranken';
catalog['Limit properties'] = 'Limit properties';
catalog['Limiting reactant example problem 1'] = 'Limiting reactant example problem 1';
catalog['Limiting reagent stoichiometry'] = 'St\u00f6chiometrie mit begrenzenden Reaktanden';
catalog['Limits and infinity'] = 'Grenzwerte und Unendlichkeit';
catalog['Limits are the core tool that we build upon for calculus.  Many times, a function can be undefined at a point, but we can think about what the function "approaches" as it gets closer and closer to that point (this is the "limit").  Other times, the function may be defined at a point, but it may approach a different limit.  There are many, many times where the function value is the same as the limit at a point.  Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve.\n\nIf you have a decent background in algebra (graphing and functions in particular), you\'ll hopefully enjoy this tutorial!'] = 'Limits are the core tool that we build upon for calculus.  Many times, a function can be undefined at a point, but we can think about what the function "approaches" as it gets closer and closer to that point (this is the "limit").  Other times, the function may be defined at a point, but it may approach a different limit.  There are many, many times where the function value is the same as the limit at a point.  Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve.\n\nIf you have a decent background in algebra (graphing and functions in particular), you\'ll hopefully enjoy this tutorial!';
catalog['Limits are the core tool that we build upon for calculus.  Many times, a function can be undefined at a point, but we can thinking about what the function "approaches" as it gets closer and closer to that point (this is the "limit").  Other times, the function may be defined at a point, but it may approach a different limit.  There are many, many times where the function value is the same as the limit at a point.  Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve.\n\nIf you have a decent background in algebra (graphing and functions in particular), you\'ll hopefully enjoy this tutorial!'] = 'Limits are the core tool that we build upon for calculus.  Many times, a function can be undefined at a point, but we can thinking about what the function "approaches" as it gets closer and closer to that point (this is the "limit").  Other times, the function may be defined at a point, but it may approach a different limit.  There are many, many times where the function value is the same as the limit at a point.  Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve.\n\nIf you have a decent background in algebra (graphing and functions in particular), you\'ll hopefully enjoy this tutorial!';
catalog['Limits at infinity using algebra'] = 'Limits at infinity using algebra';
catalog['Limits at infinity where f(x) is unbounded'] = 'Limits at infinity where f(x) is unbounded';
catalog['Limits at infinity where x is unbounded'] = 'Limits at infinity where x is unbounded';
catalog['Limits at positive and negative infinity'] = 'Grenzwerte f\u00fcr plus und minus unendlich';
catalog['Limits have done their part helping to find derivatives.  Now, under the guidance of l\'H\u00f4pital\'s rule, derivatives are looking to show their gratitude by helping to find limits.  Ever try to evaluate a function at a point and get 0/0 or infinity/infinity?  Well, that\'s a big clue that l\'Hopital\'s rule can help you find the limit of the function at that point.'] = 'Grenzwerte haben ihren Beitrag dazu geleistet, Ableitungen zu finden.  Jetzt versuchen die Ableitungen mit der Regel von l\' Hospital-, ihre Dankbarkeit zu zeigen, indem Sie helfen, Grenzwerte zu finden. Versuch einmal, eine Funktion an einem Punkt zu berechnen und so 0/0 oder   unendlich/unendlich zu berechnen?  Nun, das ist ein guter Hinweis, wo die l\'Hopital Regel dir den Grenzwert der Funktion in diesem Punkt ermitteln kann.';
catalog['Limits to define continuity'] = 'Grenzwerte um Kontinuit\u00e4t zu definieren';
catalog['Limits with two horizontal asymptotes'] = 'Grenzen mit zwei horizontalen Asymptoten';
catalog['Limits'] = 'Grenzwerte';
catalog['Linda Jeschofnig - Co-founder of Hands-On Labs'] = 'Linda Jeschofnig - Co-founder of Hands-On Labs';
catalog['Lindau Gospels cover'] = 'Lindau Gospels cover';
catalog['Line and angle proofs'] = 'Line and angle proofs';
catalog['Line graph intuition'] = 'Liniendiagramm Intuition';
catalog['Line graphs are very common ways to see trends in data.  Pictographs are less common, but they can be cute to look at (this is why newspapers like to use them).\n\nCommon Core Standards: 6.SP.B.4, 6.SP.B.5'] = 'Liniendiagramme werden sehr h\u00e4ufig verwendet, um Trends in Daten zu sehen.  Piktogramme sind weniger verbreitet, aber sie k\u00f6nnen nett anzusehen sein (deshalb verwenden Zeitungen sie gerne).\n\nCommon Core Standards: 6.SP.B.4, 6.SP.B.5';
catalog['Line integral example 1'] = 'Line integral example 1';
catalog['Line integral example 2 (part 1)'] = 'Line integral example 2 (part 1)';
catalog['Line integral example 2 (part 2)'] = 'Line integral example 2 (part 2)';
catalog['Line integral of scalar and vector-valued functions.  Green\'s theorem and 2-D divergence theorem.'] = 'Linienintegral skalar- und vektorwertiger Funktionen. Green\'s Theorem und 2-D-Divergenz-Theorem.';
catalog['Line integral over a closed path (part 1)'] = 'Line integral over a closed path (part 1)';
catalog['Line integrals and Green\'s theorem'] = 'LinienIntegrale und Greens\' Theorem';
catalog['Line integrals and vector fields'] = 'Line integrals and vector fields';
catalog['Line integrals for scalar functions'] = 'Line integrals for scalar functions';
catalog['Line integrals in vector fields'] = 'Line integrals in vector fields';
catalog['Line of symmetry'] = 'Symmetrieachse';
catalog['Linear Equations in Point Slope Form'] = 'Lineare Gleichungen in der Punkt-Steigungsform';
catalog['Linear Equations in Slope Intercept Form'] = 'Lineare Gleichungen in Steigung-Schnittpunkt-Form';
catalog['Linear Equations in Standard Form'] = 'Lineare Gleichungen in der allgemeinen Form';
catalog['Linear Function Graphs'] = 'Graphen linearer Funktionen';
catalog['Linear Perspective: Brunelleschi\'s Experiment'] = 'Linear Perspective: Brunelleschi\'s Experiment';
catalog['Linear Transformation Examples: Rotations in R2'] = 'Linear Transformation Examples: Rotations in R2';
catalog['Linear algebra'] = 'Lineare Algebra';
catalog['Linear and nonlinear functions (example 1)'] = 'Lineare und nichtlineare Funktionen (Beispiel 1)';
catalog['Linear and nonlinear functions (example 2)'] = 'Lineare und nichtlineare Funktionen (Beispiel 2)';
catalog['Linear and nonlinear functions (example 3)'] = 'Lineare und nichtlineare Funktionen (Beispiel 3)';
catalog['Linear and nonlinear functions'] = 'Lineare und nichtlineare Funktionen';
catalog['Linear combinations and span'] = 'Linearkombinationen und R\u00e4ume';
catalog['Linear combinations and spans'] = 'Linearkombinationen und Spanne';
catalog['Linear dependence and independence'] = 'Lineare Abh\u00e4ngigkeit und Unabh\u00e4ngigkeit';
catalog['Linear differential equations that contain second derivatives'] = 'Lineare Differentialgleichungen, die zweite Ableitungen enthalten';
catalog['Linear equation from slope and a point'] = 'Geradengleichung aus Steigung und einem Punkt';
catalog['Linear equation word problem example'] = 'Textaufgabe zu linearen Gleichungen (Beispiel)';
catalog['Linear equation word problems'] = 'Textaufgaben zu linearen Gleichungssystemen';
catalog['Linear equations in one variable'] = 'Lineare Gleichungen mit einer Variablen';
catalog['Linear equations in point slope form'] = 'Lineare Gleichungen in der Punkt-Steigungsform';
catalog['Linear equations in standard form'] = 'Lineare Gleichungen in der allgemeinen Form';
catalog['Linear equations with multiple variable and constant terms'] = 'Lineare Gleichungen mit multiplen Variablen und konstanten Termin';
catalog['Linear equations'] = 'Lineare Gleichungen';
catalog['Linear function intercepts'] = 'Achsenabschnitte linearer Funktionen';
catalog['Linear functions show up throughout life (even though you might not realize it).  This tutorial will have you thinking much deeper about what a linear function means and various ways to interpret one.  Like always, pause the video and try the problem before Sal does.  Then test your understanding by practicing the problems at the end of the tutorial.\n\nCommon Core Standards: 8.F.A.2, 8.F.A.4, 8.F.A.5'] = 'Lineare Funktionen zeigen sich w\u00e4hrend des gesamten Lebens (auch wenn du es vielleicht nicht immer erkennen kannst).  In diesem Tutorial wirst du dich tiefer in die Bedeutung von linearen Funktion hineindenken und verschiedene M\u00f6glichkeiten erkennen, sie zu interpretieren.  Halte wie immer das Video an und versuche das Problem zu l\u00f6sen, bevor Sal es tut.  Teste dann dein Verst\u00e4ndnis, indem du die Probleme am Ende des Tutorial l\u00f6st.\n\nCommon Core Standards: 8.F.A.2, 8.F.A.4, 8.F.A.5';
catalog['Linear homogeneous equations'] = 'Lineare homogene Gleichungen';
catalog['Linear inequalities'] = 'Lineare Ungleichungen';
catalog['Linear models of bivariate data'] = 'Lineare Modelle bivariater Daten';
catalog['Linear momentum.  Conservation of momentum.  Elastic collisions.'] = 'Linear momentum.  Conservation of momentum.  Elastic collisions.';
catalog['Linear regression and correlation'] = 'Lineare Regression und Korrelation';
catalog['Linear subspaces'] = 'Lineare Unterr\u00e4ume';
catalog['Linear systems word problem with substitution'] = 'Lineare Systeme: Textaufgabe mit Substitution';
catalog['Linear transformation examples'] = 'Linear transformation examples';
catalog['Linear transformation examples: Rotations in R2'] = 'Linear transformation examples: Rotations in R2';
catalog['Linear transformation examples: Scaling and reflections'] = 'Linear transformation examples: Scaling and reflections';
catalog['Linear transformations as matrix vector products'] = 'Linear transformations as matrix vector products';
catalog['Linear transformations'] = 'lineare Transformationen';
catalog['Lines are widely used to model relationships between two quantitative variables. In this tutorial, for scatter plots that suggest a linear association, we\'ll informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line\n\nCommon Core Standard: 8.SP.A.2\t'] = 'Geraden werden oft zur Modellierung von Beziehungen zwischen zwei mengenbezogenen Variablen eingesetzt. In diesem Tutorial werden wir f\u00fcr Streudiagramme, die eine lineare Beziehung vermuten lassen, eine Gerade in die Streuwolke hineinlegen. Ob dieses Modell passt, werden wir informell durch die N\u00e4he der Datenpunkte zur Line bewerten.\n\nCommon Core Standard: 8.SP.A.2\t';
catalog['Lines, line segments and rays'] = 'Geraden, Strecken und Strahlen';
catalog['Lines, line segments, and rays'] = 'Linien, Liniensegmente und Strahlen';
catalog['LinkedIn Speaker Series  Salman Khan'] = 'Salman Khan zu Gast bei "LinkedIn Speaker Series"';
catalog['Lion Gate, Mycenae, c. 1300-1250 B.C.E.'] = 'Lion Gate, Mycenae, c. 1300-1250 B.C.E.';
catalog['Lipid and protein transport in the lymphatic system'] = 'Lipid and protein transport in the lymphatic system';
catalog['Lippi, Portrait of a Man and Woman at a Casement'] = 'Lippi, Portrait of a Man and Woman at a Casement';
catalog['Listen to a beam of light! Build a device that converts sound into light and explore the wonders of electromagnetism.'] = 'Listen to a beam of light! Build a device that converts sound into light and explore the wonders of electromagnetism.';
catalog['Listen to a beam of light! Learn how to build a simple device in which the signal from a radio is transmitted on a beam of light traveling between a light-emitting diode (LED) and a solar cell. Developed by Exploratorium Teacher Institute staff Don Rathjen and demonstrated by Exploratorium Senior Scientist Paul Doherty.'] = 'Listen to a beam of light! Learn how to build a simple device in which the signal from a radio is transmitted on a beam of light traveling between a light-emitting diode (LED) and a solar cell. Developed by Exploratorium Teacher Institute staff Don Rathjen and demonstrated by Exploratorium Senior Scientist Paul Doherty.';
catalog['Listen to a commentary about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=253268" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=253268">a painting</a> in the J. Paul Getty Museum\'s collection. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'Listen to a commentary about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=253268" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=253268">a painting</a> in the J. Paul Getty Museum\'s collection. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['Listen to a commentary about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=814" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=814">a painting</a> in the J. Paul Getty Museum\'s collection. Part of the Animals in Art tour at the Getty Center. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on Google+</a> to stay in touch.'] = 'Listen to a commentary about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=814" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=814">a painting</a> in the J. Paul Getty Museum\'s collection. Part of the Animals in Art tour at the Getty Center. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on Google+</a> to stay in touch.';
catalog['Listen to a family-friendly commentary about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1387" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1387">an object</a> in the J. Paul Getty Museum\'s collection. Part of the Animals in Art tour at the Getty Center. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'Listen to a family-friendly commentary about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1387" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1387">an object</a> in the J. Paul Getty Museum\'s collection. Part of the Animals in Art tour at the Getty Center. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['Listen to a&nbsp;commentary about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=140425" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=140425">a painting</a> in the J. Paul Getty Museum\'s collection. Part of the Animals in Art tour at the Getty Center. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'Listen to a&nbsp;commentary about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=140425" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=140425">a painting</a> in the J. Paul Getty Museum\'s collection. Part of the Animals in Art tour at the Getty Center. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['Listen to how artists understand the work of Isa Genzken.&nbsp;To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course6" href="http://www.moma.org/learn/courses/online#course6">Modern and Contemporary Art, 1945-1989</a>.'] = 'Listen to how artists understand the work of Isa Genzken.&nbsp;To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course6" href="http://www.moma.org/learn/courses/online#course6">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Listen to variable resistance'] = 'Listen to variable resistance';
catalog['Liters of soda for the party'] = 'Liter Limonade f\u00fcr die Party';
catalog['Lithography process'] = 'Lithography process';
catalog['Loading topic tree... Please wait!'] = 'Loading topic tree... Please wait!';
catalog['Loanable funds interpretation of IS curve'] = 'Loanable funds interpretation of IS curve';
catalog['Log in'] = 'Einloggen';
catalog['Log-a-what?  No, this tutorial is about neither chopped wood nor music (actually logarithms do have applications in music), but it is fascinating nonetheless.\n\nYou know how to take an exponent.  Now you can think about what exponent you have to raise a number to to get another number.  Yes, I agree--unstoppable fun for the whole family.  No, seriously, logarithms are used everywhere (including to measure earthquakes and sound).'] = 'Was-f\u00fcr-ein-Rhythmus? Nein, in dieser \u00dcbung geht es nicht um Musik (obwohl Logarithmen durchaus Anwendungen in Musik haben), aber das Thema ist dennoch faszinierend.\n\nDu verstehst es, mit Hochzahlen oder Exponenten umzugehen. Jetzt kannst du dar\u00fcber nachdenken, welchen Exponenten du brauchst, um von einer Zahl zu einer anderen zu kommen. Ja, ich stimme zu - ein Spa\u00df f\u00fcr die ganze Familie! Nein, ernsthaft, Logarithmen werden \u00fcberall verwendet (auch zur Messung von Erbeben oder Schall).';
catalog['Logarithm basics'] = 'Grundlagen zum Logarithmus';
catalog['Logarithm of a Power'] = 'Logarithmus eines Exponenten';
catalog['Logarithm of a power'] = 'Logarithmus eines Exponenten';
catalog['Logarithm properties'] = 'Logarithmusgesetze';
catalog['Logarithmic Equations'] = 'Logarithmische Gleichungen';
catalog['Logarithmic differentiation'] = 'Logarithmic differentiation';
catalog['Logarithmic equations'] = 'Logarithmische Gleichungen';
catalog['Logarithmic functions'] = 'Logarithmische Funktionen';
catalog['Logarithmic scale and patterns'] = 'Logarithmic scale and patterns';
catalog['Logarithmic scale'] = 'Logarithmische Darstellung';
catalog['Logarithms show up in science and music far more than you might first imagine.  This tutorial explores where these appearances occur!'] = 'Logarithms show up in science and music far more than you might first imagine.  This tutorial explores where these appearances occur!';
catalog['Logarithms'] = 'Logarithmen';
catalog['Logged out'] = 'Logged out';
catalog['Logic and if Statements'] = 'Logik und if-Anweisungen';
catalog['Login Time'] = 'Login Time';
catalog['Login'] = 'Einloggen';
catalog['Logins'] = 'Logins';
catalog['Logins</'] = 'Logins</';
catalog['Logout'] = 'Ausloggen';
catalog['Lois Weber and Phillips Smalley, "Suspense"'] = 'Lois Weber and Phillips Smalley, "Suspense"';
catalog['London InterBank Offer Rate'] = 'London InterBank Offer Rate';
catalog['Long Straddle'] = 'Long Straddle';
catalog['Long before the internet people thought about sending information along wires using static electricity.'] = 'Lange vor dem Internet, dachten die Menschen dar\u00fcber nach wie sie Informationen entlang Dr\u00e4hten mit statischer Elektrizit\u00e4t versenden.';
catalog['Long division with remainder example'] = 'Schriftliche Division mit Rest Beispiel';
catalog['Long live Tau'] = 'Lang lebe Tau';
catalog['Long live tau'] = 'Lang lebe Tau';
catalog['Long straddle'] = 'Long straddle';
catalog['Long term potentiation and synaptic plasticity'] = 'Long term potentiation and synaptic plasticity';
catalog['Long term supply curve and economic profit'] = 'Long term supply curve and economic profit';
catalog['Long term supply curve'] = 'Long term supply curve';
catalog['Long video explaining why entropy is a measure of the number of states a system can take on (mathy, but mind-blowing).'] = 'Long video explaining why entropy is a measure of the number of states a system can take on (mathy, but mind-blowing).';
catalog['Long-run aggregate supply'] = 'Long-run aggregate supply';
catalog['Longitude'] = 'L\u00e4ngengrad';
catalog['Looking a bit deeper at why elasticity changes despite having a linear demand curve'] = 'Looking a bit deeper at why elasticity changes despite having a linear demand curve';
catalog['Looking at a simple model of an economy'] = 'Looking at a simple model of an economy';
catalog['Looking at actual sequential and year-over-year inflation data'] = 'Looking at actual sequential and year-over-year inflation data';
catalog['Looking at consumer surplus as area between the demand curve and the market price'] = 'Looking at consumer surplus as area between the demand curve and the market price';
catalog['Looking at marginal and average total cost in the context of a juice business'] = 'Looking at marginal and average total cost in the context of a juice business';
catalog['Looking at paintings'] = 'Looking at paintings';
catalog['Looking at sets and bases that are orthonormal -- or where all the vectors have length 1 and are orthogonal to each other.'] = 'Looking at sets and bases that are orthonormal -- or where all the vectors have length 1 and are orthogonal to each other.';
catalog['Looking at the example from the last video in a more generalized way'] = 'Looking at the example from the last video in a more generalized way';
catalog['Looking at the supply curve as an opportunity cost curve.  Understanding the producer surplus as the area between the supply curve and the market price'] = 'Looking at the supply curve as an opportunity cost curve.  Understanding the producer surplus as the area between the supply curve and the market price';
catalog['Looking at valence electrons to figure out reactivity'] = 'Blick auf Valenzelektronen um die Reaktivit\u00e4t herauszufinden';
catalog['Looking more closely at the definition of Nash Equilibrium'] = 'Looking more closely at the definition of Nash Equilibrium';
catalog['Loooong division!'] = 'Laaaaaange Division!';
catalog['Loop block allows us to repeat&nbsp;behaviours&nbsp;'] = 'Loop block allows us to repeat&nbsp;behaviours&nbsp;';
catalog['Loop block'] = 'Loop block';
catalog['Loop de loop answer part 1'] = 'Loop de loop answer part 1';
catalog['Loop de loop answer part 2'] = 'Loop de loop answer part 2';
catalog['Loop de loop question'] = 'Loop de loop question';
catalog['Looping'] = 'Schleifen';
catalog['Lorenzetti, Presentation of Jesus in the Temple'] = 'Lorenzetti, Presentation of Jesus in the Temple';
catalog['Louis Comfort Tiffany, Vase'] = 'Louis Comfort Tiffany, Vase';
catalog['Louis Raemaekers, "Tegen de Tariefwet, Vliegt niet in\'t Web!" '] = 'Louis Raemaekers, "Tegen de Tariefwet, Vliegt niet in\'t Web!" ';
catalog['Low salt diet'] = 'Salzarme Ern\u00e4hrung';
catalog['Lower Bound on Forward Settlement Price'] = 'Lower Bound on Forward Settlement Price';
catalog['Lower bound on forward settlement price'] = 'Lower bound on forward settlement price';
catalog['Lub dub'] = 'Lub dub';
catalog['Lucas Cranach the Elder, Cupid complaining to Venus, c. 1525, oil on wood, 81.3 x 54.6 cm (The National Gallery, London)'] = 'Lucas Cranach the Elder, Cupid complaining to Venus, c. 1525, oil on wood, 81.3 x 54.6 cm (The National Gallery, London)';
catalog['Lucas Cranach the Elder, Judith with the Head of Holofernes, c. 1530, oil on panel, 87 x 56 cm / 34.3 x 22 inches (Kunsthistorisches Museum, Vienna)'] = 'Lucas Cranach the Elder, Judith with the Head of Holofernes, c. 1530, oil on panel, 87 x 56 cm / 34.3 x 22 inches (Kunsthistorisches Museum, Vienna)';
catalog['Lucian Freud, Standing by the Rags, 1988-89, oil on canvas, 66.5 x 54.5 in. (168.9 x 138.4 cm),  (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Lucian Freud, Standing by the Rags, 1988-89, oil on canvas, 66.5 x 54.5 in. (168.9 x 138.4 cm),  (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Lucus Cranach the Elder, Adam and Eve, 1526, oil on panel \n(Courtauld Gallery, London). \n\nSpeakers: Rachel Ropeik and Steven Zucker\n\nhttp://smarthistory.org/cranachs-adam-and-eve.html'] = 'Lucus Cranach the Elder, Adam and Eve, 1526, oil on panel \n(Courtauld Gallery, London). \n\nSpeakers: Rachel Ropeik and Steven Zucker\n\nhttp://smarthistory.org/cranachs-adam-and-eve.html';
catalog['Ludovisi Battle Sarcophagus'] = 'Ludovisi Battle Sarcophagus';
catalog['Ludwig Hohlwein, "Kaffee Hag"'] = 'Ludwig Hohlwein, "Kaffee Hag"';
catalog['Ludwig Mies van der Rohe, Seagram Building, 375 Park Avenue, New York City (1958)\n\nSpeakers: Dr. Matthew Postal, Dr. Steven Zucker\n\nhttp://smarthistory.org/mies-van-der-rohes-seagram-building.html\nNote: In the video I call Le Corbusier a French architect. This is somewhat reductionist since he was born in Swizerland and became a French citizen in 1930. (SZ)'] = 'Ludwig Mies van der Rohe, Seagram Building, 375 Park Avenue, New York City (1958)\n\nSpeakers: Dr. Matthew Postal, Dr. Steven Zucker\n\nhttp://smarthistory.org/mies-van-der-rohes-seagram-building.html\nNote: In the video I call Le Corbusier a French architect. This is somewhat reductionist since he was born in Swizerland and became a French citizen in 1930. (SZ)';
catalog['Lunar eclipse'] = 'Mondfinsternis';
catalog['Lung Introduction'] = 'Lung Introduction';
catalog['Lung introduction'] = 'Die Lunge: eine Einf\u00fchrung';
catalog['Lymphatic system - Passage 1'] = 'Lymphatic system - Passage 1';
catalog['Lymphatic system - Passage 2'] = 'Lymphatic system - Passage 2';
catalog['Lymphatic system'] = 'Lymphatisches System';
catalog['Lynda Benglis, Omega, 1973 (Portland Art Museum)\n\nJudy Chicago, Pasadena Lifesaver, Blue Series, Number 4, 1969-70 (Portland Art Museum)\n\nSpeakers: Bruce Guenther, Dr. Beth Harris\n\nFor more: http://smarthistory.org/judy-chicagos-pasadena-lifesaver-4-and-lynda-bengliss-omega.html'] = 'Lynda Benglis, Omega, 1973 (Portland Art Museum)\n\nJudy Chicago, Pasadena Lifesaver, Blue Series, Number 4, 1969-70 (Portland Art Museum)\n\nSpeakers: Bruce Guenther, Dr. Beth Harris\n\nFor more: http://smarthistory.org/judy-chicagos-pasadena-lifesaver-4-and-lynda-bengliss-omega.html';
catalog['Lyonel Feininger, Cathedral for Program of the State Bauhaus in Weimar, woodcut, 1919 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Juliana Kreinik\n\nFor more: http://www.smarthistory.org/feiningers-cathedral.html'] = 'Lyonel Feininger, Cathedral for Program of the State Bauhaus in Weimar, woodcut, 1919 (MoMA)\n\nSpeakers: Dr. Steven Zucker, Dr. Juliana Kreinik\n\nFor more: http://www.smarthistory.org/feiningers-cathedral.html';
catalog['Lysippos, Farnese Hercules, 4th century B.C.E. (later Roman copy by Glycon)(Archaeological Museum, Naples)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Lysippos, Farnese Hercules, 4th century B.C.E. (later Roman copy by Glycon)(Archaeological Museum, Naples)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['L{sin(at)}) - transform of sin(at)'] = 'L{sin(at)}) - Transformation von sin(at)';
catalog['MCAT'] = 'MCAT';
catalog['MIT 2012 Commencement Address'] = 'Rede zur akademischen Abschlussfeier 2012 der MIT';
catalog['MIT+K12 is collaborating with Khan Academy to provide experiential materials to complement their virtual offerings.'] = 'MIT + K12 ist eine Zusammenarbeit mit der Khan Academy, um experimentelles Material zur Erg\u00e4nzung ihrer virtuellen Kurse bereitzustellen.';
catalog['MIT+K12'] = 'MIT+K12';
catalog['MO theory for Diels-Alder'] = 'MO-Theorie f\u00fcr Diels-Alder';
catalog['MO theory for butadiene'] = 'MO theory for butadiene';
catalog['MPC and multiplier'] = 'MPC and multiplier';
catalog['MSL Brief'] = 'MSL Brief';
catalog['MacLaurin representation of sin x'] = 'MacLaurin Darstellung von sin x';
catalog['Mach numbers'] = 'Mach Zahlen';
catalog['Mack Sennett, "Barney Oldfield\'s Race for a Life"'] = 'Mack Sennett, "Barney Oldfield\'s Race for a Life"';
catalog['Maclaurin and Taylor series intuition'] = 'Gesp\u00fcr f\u00fcr die Maclaurin- und Taylorreihe';
catalog['Maclaurin series and Euler\'s identity'] = 'Maclaurin series and Euler\'s identity';
catalog['Maclaurin series for sin x, cos x, and e^x'] = 'Maclaurin Reihe f\u00fcr sin x, cos x und e^x';
catalog['Macroeconomics'] = 'Makro\u00f6onomie';
catalog['Macrostates and microstates'] = 'Macrostates and microstates';
catalog['Magnet near compass'] = 'Magnet near compass';
catalog['Magnetic fields and their effects on moving electrical charges'] = 'Magnetische Felder und deren Auswirkungen auf bewegte elektrische Ladungen';
catalog['Magnetic force on a wire carrying current.'] = 'Magnetic force on a wire carrying current.';
catalog['Magnetic permeability'] = 'Magnetic permeability';
catalog['Magnetism 10: Electric motors'] = 'Magnetism 10: Electric motors';
catalog['Magnetism 11: Electric motors'] = 'Magnetism 11: Electric motors';
catalog['Magnetism 12: Induced current in a wire'] = 'Magnetism 12: Induced current in a wire';
catalog['Magnetism 2'] = 'Magnetismus 2';
catalog['Magnetism 3'] = 'Magnetismus 3';
catalog['Magnetism 4'] = 'Magnetismus 4';
catalog['Magnetism 5'] = 'Magnetismus 5';
catalog['Magnetism 6: Magnetic field due to current'] = 'Magnetismus 6: Magnetfeld erzeugt durch Strom';
catalog['Magnetism 7'] = 'Magnetismus 7';
catalog['Magnetism 8'] = 'Magnetismus 8';
catalog['Magnetism 9: Electric motors'] = 'Magnetismus 9: Elektromotoren';
catalog['Magnitude and direction of vector sums'] = 'Magnitude and direction of vector sums';
catalog['Magnitude of vector sums'] = 'Magnitude of vector sums';
catalog['Magritte, The Treachery of Images (Ceci n\u2019est pas une pipe)'] = 'Magritte, The Treachery of Images (Ceci n\u2019est pas une pipe)';
catalog['Make Spout a low cost beetle bot that can avoid obstacles. Spout is low cost and can be made without solder.'] = 'Make Spout a low cost beetle bot that can avoid obstacles. Spout is low cost and can be made without solder.';
catalog['Make one parabola overlap with another by adjusting the focus coordinates and directrix. Find the equation of the parabola.'] = 'Make one parabola overlap with another by adjusting the focus coordinates and directrix. Find the equation of the parabola.';
catalog['Make one parabola overlap with another by adjusting the focus coordinates and directrix.'] = 'Make one parabola overlap with another by adjusting the focus coordinates and directrix.';
catalog['Make one parabola overlap with another by adjusting the leading coefficient and vertex coordinates.'] = 'Bringe Parabeln \u00fcbereinander, indem du die f\u00fchrenden Koeffizienten- und Scheitelpunkt-Koordinaten anpasst.';
catalog['Make your code more re-usable by grouping it into functions, and then make those functions accept parameters and return values.'] = 'Mache deinen Code wiederverwendbarer indem du ihn in Funktionen gruppierst. Dann lass diese Funktionen Parameter und R\u00fcckgabewerte akzeptieren.';
catalog['Making Art'] = 'Kunst machen';
catalog['Making Greek vases'] = 'Making Greek vases';
catalog['Making a Compass: does it matter if we stroke the needle with the North vs. South pole of the magnet? Why?'] = 'Making a Compass: does it matter if we stroke the needle with the North vs. South pole of the magnet? Why?';
catalog['Making a Memory Game'] = 'Making a Memory Game';
catalog['Making a Side Scroller: Hoppy Beaver'] = 'Making a Side Scroller: Hoppy Beaver';
catalog['Making a Spanish polychrome sculpture'] = 'Making a Spanish polychrome sculpture';
catalog['Making a molded Athenian vase'] = 'Making a molded Athenian vase';
catalog['Making aligned hardware, software, and space decisions in a blended learning environment'] = 'Making aligned hardware, software, and space decisions in a blended learning environment';
catalog['Making art'] = 'Kunst machen';
catalog['Making at least 3 out of 5 free throws.'] = 'Zumindest 3 von 5 Freiw\u00fcrfe verwerten.';
catalog['Making banana oat muffins...mmm'] = 'Wie man Bananen-Weizen Muffins macht ..... mmm';
catalog['Making clean and tasty water with cool science!'] = 'Sauberes und leckeres Wasser mit cooler Wissenschaft machen!';
catalog['Making decisions with expected values'] = 'Making decisions with expected values';
catalog['Making decisions with probability'] = 'Making decisions with probability';
catalog['Making flu vaccine each year'] = 'Making flu vaccine each year';
catalog['Making inferences based on sample data.  Confidence intervals.  Margin of error.  Hypothesis testing.'] = 'R\u00fcckschl\u00fcsse aus Beispieldaten ziehen. Konfidenzintervalle. Fehlerquote. Das Testen von Hypothesen.';
catalog['Making maiolica'] = 'Making maiolica';
catalog['Making manuscripts'] = 'Making manuscripts';
catalog['Making money from cows and ostriches'] = 'Geld verdienen mit K\u00fchen und Strau\u00dfen';
catalog['Making more pizzas to spread cost per pizza'] = 'Mehr Pizzen herstellen um die Kosten aufzuteilen';
catalog['Making sense of probabilities'] = 'Sinn von Wahrscheinlichkeiten';
catalog['Making stone tools'] = 'Making stone tools';
catalog['Making sure the facilities and furniture support your educational model'] = 'Making sure the facilities and furniture support your educational model';
catalog['Making sure you fully understand titration curves'] = 'Ich gehe sicher, dass du die Titrierungskurven voll verstanden hast';
catalog['Making ten'] = 'Making ten';
catalog['Making totals in different ways within 10'] = 'Making totals in different ways within 10';
catalog['Manage'] = 'Manage';
catalog['Manet, A Bar at the Folies-Berg\u00e8re'] = 'Manet, A Bar at the Folies-Berg\u00e8re';
catalog['Manet, Corner of a Caf\u00e9-Concert'] = 'Manet, Corner of a Caf\u00e9-Concert';
catalog['Manet, In the Conservatory'] = 'Manet, In the Conservatory';
catalog['Manet, Le d\u00e9jeuner sur l\'herbe'] = 'Manet, Le d\u00e9jeuner sur l\'herbe';
catalog['Manet, Olympia'] = 'Manet, Olympia';
catalog['Manet, Plum Brandy'] = 'Manet, Plum Brandy';
catalog['Manet, The Balcony'] = 'Manet, The Balcony';
catalog['Manet, The Railway'] = 'Manet, The Railway';
catalog['Manet, \u00c9mile Zola'] = 'Manet, \u00c9mile Zola';
catalog['Manipulating expressions'] = 'Bearbeiten von Ausdr\u00fccken';
catalog['Manipulating formula example'] = 'Umformen von Gleichungen - Beispiel';
catalog['Manipulating formulas'] = 'Bearbeiten von Formeln';
catalog['Manipulating fractional exponents'] = 'Bearbeiten von Exponenten mit Br\u00fcchen';
catalog['Manipulating linear expressions with rational coefficients'] = 'Umstellen von linearen Ausdr\u00fccken mit rationalen Koeffizienten';
catalog['Manipulating the expression to make u-substitution a little more obvious.'] = 'Manipulating the expression to make u-substitution a little more obvious.';
catalog['Mannerism'] = 'Mannerism';
catalog['Mansa Musa and Islam in Africa'] = 'Mansa Musa und der Islam in Afrika';
catalog['Mantegna, Camera degli Sposi'] = 'Mantegna, Camera degli Sposi';
catalog['Mantegna, Dead Christ'] = 'Mantegna, Dead Christ';
catalog['Mantegna, Dormition of the Virgin'] = 'Mantegna, Dormition of the Virgin';
catalog['Mantegna, Saint Sebastian'] = 'Mantegna, St. Sebastian';
catalog['Mantoux test (aka. PPD or TST)'] = 'Mantoux test (aka. PPD or TST)';
catalog['Manually going through the combinatorics to determine the probability of an event occuring'] = 'Manuell durch die Kombinatorik gehen um die Wahrscheinlichkeit zu bestimmen, dass ein Ereignis auftritt';
catalog['Manuel Alvarez Bravo\'s poetic eye'] = 'Manuel Alvarez Bravo\'s poetic eye';
catalog['Manufacturing Processes: Hands On to Hands Off'] = 'Manufacturing Processes: Hands On to Hands Off';
catalog['Manuscripts'] = 'Handschriften';
catalog['Manuscripts: Major works of art'] = 'Manuscripts: Major works of art';
catalog['Many of you are planning on taking the Calculus AB advanced placement exam.  These are example problems taken directly from previous years\' exams. Even if you aren\'t taking the exam, these are very useful problem for making sure you understand your calculus (as always, best to pause the videos and try them yourself before Sal does).'] = 'Many of you are planning on taking the Calculus AB advanced placement exam.  These are example problems taken directly from previous years\' exams. Even if you aren\'t taking the exam, these are very useful problem for making sure you understand your calculus (as always, best to pause the videos and try them yourself before Sal does).';
catalog['Many people choose to avoid the flu vaccine each year.  Review five popular excuses, and how they relate to common misunderstandings about the flu.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Many people choose to avoid the flu vaccine each year.  Review five popular excuses, and how they relate to common misunderstandings about the flu.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Many people own stocks, but, unfortunately, most of them don\'t really understand what they own.  This tutorial will keep you from being one of those people (not keep you from owning stock, but keep you from being ignorant about your investments).'] = 'Viele Leute haben Aktien aber leider verstehen die meisten \u00fcberhaupt nicht was sie da haben. Dieses Tutorial wird dabei helfen, dass dir das nicht passiert (also verhindern dass du deine Investments nicht verstehst, nicht verhindern dass du Aktien besitzt).';
catalog['Many products and technologies that were first developed in China\u2014silk, porcelain, gunpowder, tea, paper, and woodblock printing\u2014were much sought after by cultures far beyond its borders. In exchange the Chinese sought exotic goods, horses, and jade, as well as access to the sources of Buddhism.'] = 'Many products and technologies that were first developed in China\u2014silk, porcelain, gunpowder, tea, paper, and woodblock printing\u2014were much sought after by cultures far beyond its borders. In exchange the Chinese sought exotic goods, horses, and jade, as well as access to the sources of Buddhism.';
catalog['Many times, the equilibrium price is lower than the highest price some folks are willing to pay.  For all consumers, this is called consumer surplus.  Similarly, the price might be higher than the minimum price at which some are willing to produce.  For all the producers, this is called producer surplus.  This tutorial covers them both with an emphasis on the visual.'] = 'In vielen F\u00e4llen ist der Gleichgewichtspreis niedriger als der h\u00f6chste Preis, den manche Personen bereit w\u00e4ren, zu bezahlen. In \u00e4hnlicher Weise kann der Preis h\u00f6her als das Minimum sein, f\u00fcr welchen manche bereits bereit w\u00e4ren, zu produzieren. F\u00fcr die Produzenten wird dies Produzentenrente genannt. Diese Tutorium deckt beide ab, wobei der Schwerpunkt auf visuellem Verst\u00e4ndnis gelegt wird.';
catalog['Marbles for friends'] = 'Murmeln f\u00fcr Freunde';
catalog['Marc Ecko - Failures are lessons for future success'] = 'Marc Ecko - Failures are lessons for future success';
catalog['Marc Ecko - Founder of Ecko Unlimited'] = 'Marc Ecko - Gr\u00fcnder von Ecko Unlimited';
catalog['Marc Ecko, Founder of Ecko Unlimited, discusses his origins as an entrepreneur and the entrepreneurial culture of Hip Hop. Describing graffiti as the extreme sport of art, Marc talks about how this form of artistic expression was his gateway to entrepreneurship and offers advice to young people.&nbsp;'] = 'Marc Ecko, Founder of Ecko Unlimited, discusses his origins as an entrepreneur and the entrepreneurial culture of Hip Hop. Describing graffiti as the extreme sport of art, Marc talks about how this form of artistic expression was his gateway to entrepreneurship and offers advice to young people.&nbsp;';
catalog['Marc Ecko, Founder of Ecko Unlimited, discusses his origins as an entrepreneur and the entrepreneurial culture of Hip Hop. Describing graffiti as the extreme sport of art, Marc talks about how this form of artistic expression was his gateway to entrepreneurship and offers advice to young people.'] = 'Marc Ecko, Founder of Ecko Unlimited, discusses his origins as an entrepreneur and the entrepreneurial culture of Hip Hop. Describing graffiti as the extreme sport of art, Marc talks about how this form of artistic expression was his gateway to entrepreneurship and offers advice to young people.';
catalog['Marc Ecko, Founder of Ecko Unlimited, tells a story about how being an entrepreneur is always a learning opportunity, and how understanding your ? failure can lead to success.&nbsp;'] = 'Marc Ecko, Founder of Ecko Unlimited, tells a story about how being an entrepreneur is always a learning opportunity, and how understanding your ? failure can lead to success.&nbsp;';
catalog['Marcel Duchamp, Boite-en-valise (the red box), series F, 1960 (Portland Art Museum)\nSpeakers: Bruce Guenther, Dr. Beth Harris'] = 'Marcel Duchamp, Boite-en-valise (the red box), series F, 1960 (Portland Art Museum)\nSpeakers: Bruce Guenther, Dr. Beth Harris';
catalog['Marcos Ojeda'] = 'Marcos Ojeda';
catalog['Margin of error 1'] = 'Fehlergrenze 1';
catalog['Margin of error 2'] = 'Fehlergrenze 2';
catalog['Marginal Utility and maximization'] = 'Marginal Utility and maximization';
catalog['Marginal cost and average total cost'] = 'Marginal cost and average total cost';
catalog['Marginal propensity to consume (MPC)'] = 'Marginal propensity to consume (MPC)';
catalog['Marginal revenue and marginal cost'] = 'Marginal revenue and marginal cost';
catalog['Marginal revenue below average total cost'] = 'Marginal revenue below average total cost';
catalog['Marginal utility and budget lines'] = 'Grenznutzen und Haushaltslinien';
catalog['Marginal utility and marginal benefit.  How you would spend $5 on chocolate and fruit'] = 'Marginal utility and marginal benefit.  How you would spend $5 on chocolate and fruit';
catalog['Marginal utility'] = 'Marginal utility';
catalog['Marina Abramovi\u0107 talks about her first performance, when she was a child. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = 'Marina Abramovi\u0107 talks about her first performance, when she was a child. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Marina Abramovi\u0107 talks about how performance art has to be live and can be re-performed by others. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = 'Marina Abramovi\u0107 talks about how performance art has to be live and can be re-performed by others. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Marina Abramovi\u0107 talks about how she shifted from painting to performance art. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = 'Marina Abramovi\u0107 talks about how she shifted from painting to performance art. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Marina Abramovi\u0107 talks about teaching a new generation of performance artists. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = 'Marina Abramovi\u0107 talks about teaching a new generation of performance artists. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Marina Abramovi\u0107 talks about the difference between theatre and performance art, "performance is real." To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = 'Marina Abramovi\u0107 talks about the difference between theatre and performance art, "performance is real." To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Marina Abramovi\u0107'] = 'Marina Abramovi\u0107';
catalog['Marina Abramovi\u0107: "Cleaning the House" workshop'] = 'Marina Abramovi\u0107: "Cleaning the House" workshop';
catalog['Marina Abramovi\u0107: Documenting performance'] = 'Marina Abramovi\u0107: Documenting performance';
catalog['Marina Abramovi\u0107: Marina\'s first performance'] = 'Marina Abramovi\u0107: Marina\'s first performance';
catalog['Marina Abramovi\u0107: Performance vs. acting'] = 'Marina Abramovi\u0107: Performance vs. acting';
catalog['Marina Abramovi\u0107: Teaching the next generation'] = 'Marina Abramovi\u0107: Teaching the next generation';
catalog['Marina Abramovi\u0107: The Body as medium'] = 'Marina Abramovi\u0107: The Body as medium';
catalog['Marina Abramovi\u0107: What is performance art?'] = 'Marina Abramovi\u0107: What is performance art?';
catalog['Maritime Theatre at Hadrian\'s Villa, Tivoli'] = 'Maritime Theatre at Hadrian\'s Villa, Tivoli';
catalog['Maritime Theatre at Hadrian\'s Villa, Tivoli, Villa begun in 117 C.E. \n\nA conversation with Dr. Bernard Frischer and Dr. Beth Harris'] = 'Maritime Theatre at Hadrian\'s Villa, Tivoli, Villa begun in 117 C.E. \n\nA conversation with Dr. Bernard Frischer and Dr. Beth Harris';
catalog['Mark Rothko'] = 'Mark Rothko';
catalog['Mark Rothko, No. 3/No. 13, 1949, oil on canvas (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Mark Rothko, No. 3/No. 13, 1949, oil on canvas (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Mark Rothko\'s No. 3/No. 13, 1949'] = 'Mark Rothko\'s No. 3/No. 13, 1949';
catalog['Market capitalization'] = 'Market capitalization';
catalog['Market equilibrium'] = 'Marktgleichgewicht';
catalog['Market value of assets'] = 'Market value of assets';
catalog['Market value of assets.'] = 'Marktwert von Verm\u00f6genswerten.';
catalog['Market versus book value of equity'] = 'Marktwert vs. Buchwert des Eigenkapitals';
catalog['Markup and commission word problems'] = 'Gewinn und Anzahlung: Textaufgaben';
catalog['Marriage penalty'] = 'Marriage penalty';
catalog['Married taxes clarification'] = 'Married taxes clarification';
catalog['Mars Express '] = 'Mars Express ';
catalog['Mars Global Surveyor'] = 'Mars Global Surveyor';
catalog['Mars Odyssey'] = 'Mars Odyssey';
catalog['Mars in a Minute: Is Mars Really Red?'] = 'Mars in a Minute: Is Mars Really Red?';
catalog['Mars: Ancient Observations'] = 'Mars: Ancient Observations';
catalog['Mars: Ancient observations'] = 'Mars: Ancient observations';
catalog['Mars: Modern exploration'] = 'Mars: Modern exploration';
catalog['Martian methane'] = 'Marsianisches Methan';
catalog['Martini, Architectural Veduta'] = 'Martini, Architectural Veduta';
catalog['Mary Cassatt, Breakfast In Bed, 1897 (Huntington Library) \n\nSpeakers: Beth Harris and Steven Zucker'] = 'Mary Cassatt, Breakfast In Bed, 1897 (Huntington Library) \n\nSpeakers: Beth Harris and Steven Zucker';
catalog['Mary Cassatt, In the Loge, 1878, oil on canvas, 81.28 x 66.04 cm / 32 x 26 inches (Museum of Fine Arts, Boston)'] = 'Mary Cassatt, In the Loge, 1878, oil on canvas, 81.28 x 66.04 cm / 32 x 26 inches (Museum of Fine Arts, Boston)';
catalog['Mary Cassatt, The Child\'s Bath, 1893, oil on canvas, 100.3 x 66.1 cm / 39-1/2 x 26 inches (Art Institute of Chicago)'] = 'Mary Cassatt, The Child\'s Bath, 1893, oil on canvas, 100.3 x 66.1 cm / 39-1/2 x 26 inches (Art Institute of Chicago)';
catalog['Mary Cassatt, The Loge, oil on canvas, 1882. 31-7/16 x 25-1/8 inches (National Gallery of Art)\n\nSpeakers: Beth Harris and Steven Zucker'] = 'Mary Cassatt, The Loge, oil on canvas, 1882. 31-7/16 x 25-1/8 inches (National Gallery of Art)\n\nSpeakers: Beth Harris and Steven Zucker';
catalog['Mary Cassatt, Woman with a Pearl Necklace in a Loge, 1879, oil on canvas, 32 x 23-1/2 inches or 81.3 x 59.7 cm (Philadelphia Museum of Art)'] = 'Mary Cassatt, Woman with a Pearl Necklace in a Loge, 1879, oil on canvas, 32 x 23-1/2 inches or 81.3 x 59.7 cm (Philadelphia Museum of Art)';
catalog['Masaccio (Tommaso di Ser Giovanni di Simone), Virgin and Child Enthroned, 1426, tempera on panel (National Gallery, London). Ser Giuliano degli Scarsi, a notary from Pisa commissioned this altarpiece for the chapel of Saint Julian in Santa Maria del Carmine, Pisa\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/masaccio-virgin-and-child-enthroned.html'] = 'Masaccio (Tommaso di Ser Giovanni di Simone), Virgin and Child Enthroned, 1426, tempera on panel (National Gallery, London). Ser Giuliano degli Scarsi, a notary from Pisa commissioned this altarpiece for the chapel of Saint Julian in Santa Maria del Carmine, Pisa\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/masaccio-virgin-and-child-enthroned.html';
catalog['Masaccio, Expulsion of Adam and Eve from Eden'] = 'Masaccio, Expulsion of Adam and Eve from Eden';
catalog['Masaccio, Expulsion of Adam and Eve from Eden, Brancacci Chapel, Santa Maria del Carmine, Florence, Italy, ca. 1424--1427. Fresco, 7\' x 2\' 11"'] = 'Masaccio, Expulsion of Adam and Eve from Eden, Brancacci Chapel, Santa Maria del Carmine, Florence, Italy, ca. 1424--1427. Fresco, 7\' x 2\' 11"';
catalog['Masaccio, Holy Trinity'] = 'Masaccio, Holy Trinity';
catalog['Masaccio, Holy Trinity, c. 1427, Fresco, 667 x 317 cm, Santa Maria Novella, Florence'] = 'Masaccio, Holy Trinity, c. 1427, Fresco, 667 x 317 cm, Santa Maria Novella, Florence';
catalog['Masaccio, The Tribute Money in the Brancacci Chapel'] = 'Masaccio, The Tribute Money in the Brancacci Chapel';
catalog['Masaccio, The Tribute Money, 1427, fresco (Brancacci Chapel, Santa Maria del Carmine, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Masaccio, The Tribute Money, 1427, fresco (Brancacci Chapel, Santa Maria del Carmine, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Masaccio, Virgin and Child Enthroned'] = 'Masaccio, Virgin and Child Enthroned';
catalog['Mask of Agamemnon, Mycenae, c. 1550-1500 B.C.E.'] = 'Mask of Agamemnon, Mycenae, c. 1550-1500 B.C.E.';
catalog['Mask of Agamemnon, from shaft grave V, grave circle A, c.1550-1500 B.C.E., gold, 12 inches / 35 cm (National Archaeological Museum, Athens)<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris'] = 'Mask of Agamemnon, from shaft grave V, grave circle A, c.1550-1500 B.C.E., gold, 12 inches / 35 cm (National Archaeological Museum, Athens)<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris';
catalog['Maslow\'s hierarchy of needs'] = 'Maslow\'s hierarchy of needs';
catalog['Mass and volume'] = 'Masse und Volumen';
catalog['Mass and weight clarification'] = 'Mass and weight clarification';
catalog['Mass word problems'] = 'Textaufgaben zur Masse';
catalog['Master Chinese calligrapher Cai Xingyi demonstrates five major scripts.&nbsp;<a href="http://education.asianart.org/explore-resources/lesson-or-activity/interactive-digital-brushpainting">Try your hand at brushpainting</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'Master Chinese calligrapher Cai Xingyi demonstrates five major scripts.&nbsp;<a href="http://education.asianart.org/explore-resources/lesson-or-activity/interactive-digital-brushpainting">Try your hand at brushpainting</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['Mastery '] = 'Mastery ';
catalog['Mastery of Topics'] = 'Mastery of Topics';
catalog['Mastery over time'] = 'Mastery over time';
catalog['Mastery'] = 'Mastery';
catalog['Matching expressions to define intervals of functions example'] = 'Matching expressions to define intervals of functions example';
catalog['Matching functions to their graphs'] = 'Zuordnung von Funktionen zu ihrer Graphen';
catalog['Matching radical functions with graphs exercise example'] = 'Matching radical functions with graphs exercise example';
catalog['Matching rational functions to their graphs'] = 'Matching rational functions to their graphs';
catalog['Matching ratios to trig functions'] = 'Matching ratios to trig functions';
catalog['Materials'] = 'Materialien';
catalog['Math block'] = 'Math block';
catalog['Math blocks allow you to scale values (and much more!)'] = 'Math blocks allow you to scale values (and much more!)';
catalog['Math contests'] = 'Mathematik-Wettbewerbe';
catalog['Math improv: Fruit by the foot'] = 'Math improv: Fruit by the foot';
catalog['Math in the movies.'] = 'Math in the movies.';
catalog['Math is beautiful because there are so many way to appreciate the same relationship.  In this tutorial, we\'ll use our knowledge of slope to actually graph lines that have been expressed in slope-intercept form.'] = 'Mathematik ist sch\u00f6n, denn es gibt so viele Wege Tutorium/ Tutorialdie gleiche Beziehung zu sch\u00e4tzen.  In diesem Tutorial verwenden wir unser Wissen \u00fcber Steigung um Linien graph darstellen, die in Schnittpunktformel zum Ausdruck gebracht haben.';
catalog['Math is full of properties and patterns that will keep emerging as you explore it (this is what makes math so beautiful).  We begin to just scratch the surface in this tutorial!\n\nCommon Core Standards: 3.OA.B.5, 3.OA.D.9'] = 'Mathe ist voll von Eigenschaften und Mustern, die immer wieder auftauchen wenn  man tiefer geht (das ist das, was Mathe so sch\u00f6n macht).  In diesem Tutorial fangen wir erst an, an der Oberfl\u00e4che zu kratzen! \n\nCommon Core Standards: 3.OA.B. 5, 3.OA.D.9';
catalog['Math is super useful in the real world.  In this tutorial, we\'ll get some practice figuring out things that would have been tough without the powerful tools of multiplication and division!'] = 'Mathe ist in der echten Welt super n\u00fctzlich. In diesem Tutorial kannst du \u00fcben, Situationen zu l\u00f6sen, die ohne Multiplikation und Division echt schwer w\u00e4ren!';
catalog['Math mechanics of Thai banking crisis'] = 'Math mechanics of Thai banking crisis';
catalog['Math patterns example 1'] = 'Mathematische Muster - Beispiel 1';
catalog['Math patterns example 2'] = 'Mathematische Muster - Beispiel 2';
catalog['Math patterns'] = 'Mathematische Muster';
catalog['Math warmups'] = 'Mathe-Aufw\u00e4rmaufgaben';
catalog['Math'] = 'Mathematik';
catalog['Mathed potatoes, Borromean onion rings, green bean matheroles and Turduckenen-duckenen (yes, you read that right)'] = 'Mathede Kartoffeln, Borrom\u00e4ische Zwiebelringe, Bohnen-Matherolle und Turduckenen-Duckenen (ja,  Du hast richtig gelesen)';
catalog['Mathematics of parabolas'] = 'Mathematics of parabolas';
catalog['Mathematics wouldn\'t be so useful if, interpreted in different ways,  the same expression could be viewed to represent different values.  To combat this issue, the mathematical community defined "orders of operations" to remove an ambiguity there might be when evaluating an expression!'] = 'Mathematik w\u00e4re nicht so n\u00fctzlich, wenn der selbe Ausdruck f\u00fcr unterschiedliche Werte stehen k\u00f6nnte.  Damit es nicht soweit kommt, hat die mathematische Gemeinschaft "Reihenfolgen von Rechenoperationen" definiert, damit eine m\u00f6gliche Mehrdeutigkeit beim Auswerten eines Ausdrucks gar nicht auftreten kann!';
catalog['Mathy version of MPC and multiplier (optional)'] = 'Mathy version of MPC and multiplier (optional)';
catalog['Matisse, Luxe, calme et volupt\u00e9'] = 'Matisse, Luxe, calme et volupt\u00e9';
catalog['Matisse, Piano Lesson'] = 'Matisse, Klavierunterricht';
catalog['Matisse, The Red Studio'] = 'Matisse, das rote Studio';
catalog['Matrices for solving systems by elimination'] = 'Matrices for solving systems by elimination';
catalog['Matrices to solve a system of equations'] = 'Matrizen um ein Gleichungssystem zu l\u00f6sen';
catalog['Matrices to solve a vector combination problem'] = 'Matrizen zur L\u00f6sung eines Vektor-Kombinations-Problems';
catalog['Matrices'] = 'Matrizen';
catalog['Matrices, vectors, vector spaces, transformations, eigenvectors/values.  Covers all topics in a first year college linear algebra course.  This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn\'t a prereq) so don\'t confuse this with regular high school algebra.'] = 'Matrizen, Vektoren, Vektorr\u00e4ume, Transformationen, Eigenvektoren und Eigenwerte. Behandelt Themen aus der ersten Vorlesung in linearer Algebra. Das ist ein Kurs f\u00fcr Fortgeschrittene, zum Beispiel f\u00fcr Studenten technischer F\u00e4cher mit Vorkenntnissen in Analysis (was aber nicht zwingend notwendig ist), also verwechsle das nicht mit der normalen Schulalgebra.';
catalog['Matrices: Reduced row echelon form 1'] = 'Matrices: Reduced row echelon form 1';
catalog['Matrices: Reduced row echelon form 2'] = 'Matrices: Reduced row echelon form 2';
catalog['Matrices: Reduced row echelon form 3'] = 'Matrices: Reduced row echelon form 3';
catalog['Matrix Vector Products as Linear Transformations'] = 'Matrix Vector Products as Linear Transformations';
catalog['Matrix addition and subtraction'] = 'Matrixaddition und -Subtraktion';
catalog['Matrix condition for one-to-one trans'] = 'Matrix condition for one-to-one trans';
catalog['Matrix dimensions'] = 'Matrix Dimensionen';
catalog['Matrix equations and systems'] = 'Matrix equations and systems';
catalog['Matrix equations'] = 'Matrix-Gleichungen';
catalog['Matrix multiplication (part 2)'] = 'Matrix-Multiplikation (Teil 2)';
catalog['Matrix multiplication introduction'] = 'Matrix-Multiplikation: Einf\u00fchrung';
catalog['Matrix multiplication'] = 'Matrix-Multiplikation';
catalog['Matrix product associativity'] = 'Matrix product associativity';
catalog['Matrix product examples'] = 'Matrix product examples';
catalog['Matrix transformation on triangle'] = 'Matrix transformation on triangle';
catalog['Matrix transformations'] = 'Matrix Transformationen';
catalog['Matrix transpose'] = 'Matrix transponieren';
catalog['Matrix vector products as linear transformations'] = 'Matrix vector products as linear transformations';
catalog['Matrix vector products'] = 'Matrix vector products';
catalog['Maximizing function at value'] = 'Maximizing function at value';
catalog['Maximum number of consecutive correct answers on an exercise.'] = 'Maximum number of consecutive correct answers on an exercise.';
catalog['Maxwell\'s Demon: A thought experiment that seems to defy the 2nd Law of Thermodynamics'] = 'Maxwell\'s Demon: A thought experiment that seems to defy the 2nd Law of Thermodynamics';
catalog['Maxwell\'s demon'] = 'Maxwell\'s demon';
catalog['May 29th, 2011 CNN Piece'] = '29. Mai 2011 CNN Ausschnitt';
catalog['Maya Lin, <em>Vietnam Veterans Memorial</em>, 1982, granite, 2 acres&nbsp;within&nbsp;Constitution Gardens, (National Mall, Washington, D.C.),&nbsp;speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Maya Lin, <em>Vietnam Veterans Memorial</em>, 1982, granite, 2 acres&nbsp;within&nbsp;Constitution Gardens, (National Mall, Washington, D.C.),&nbsp;speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Maya Lin, Vietnam Veterans Memorial'] = 'Maya Lin, Vietnam Veterans Memorial';
catalog['Mean Median and Mode'] = 'Mittelwert, Median und Modalwert';
catalog['Mean Value Theorem and differentiability'] = 'Mean Value Theorem and differentiability';
catalog['Mean and Variance of Bernoulli Distribution Example'] = 'Erwartungswert und Varianz der Bernoulli-Verteilung - Beispiel';
catalog['Mean and variance of Bernoulli distribution example'] = 'Erwartungswert und Varianz der Bernoulli-Verteilung - Beispiel';
catalog['Mean value theorem'] = 'Mittelwertsatz';
catalog['Mean, median, and mode'] = 'Mittelwert, Median und Modalwert';
catalog['Meaning of division'] = 'Bedeutung der Division';
catalog['Meaning of equal sign 1'] = 'Bedeutung des Gleichheitszeichens 1';
catalog['Meaning of multiplication 2'] = 'Meaning of multiplication 2';
catalog['Means and medians of different distributions'] = 'Means and medians of different distributions';
catalog['Measure of circumscribed angle'] = 'Measure of circumscribed angle';
catalog['Measurement and data'] = 'Messung und Daten';
catalog['Measurement and geometry'] = 'Vermessung und Geometrie';
catalog['Measurement precision'] = 'Messgenauigkeit';
catalog['Measurement units'] = 'Ma\u00dfeinheiten';
catalog['Measurement word problems with US customary units'] = 'Textaufgaben zur Messung mit US-\u00fcblichen Ma\u00dfeinheiten';
catalog['Measurement word problems with metric units'] = 'Textaufgaben zur Messung mit metrischen Einheiten';
catalog['Measurement'] = 'Messung';
catalog['Measures of central tendency and dispersion.  Mean, median, mode, variance, and standard deviation.'] = 'Ma\u00dfe f\u00fcr Lage und Streuung. Der Mittelwert, Median, Modus, die Varianz und Standardabweichung.';
catalog['Measures of central tendency'] = 'Measures of central tendency';
catalog['Measuring a golden statue'] = 'Ausmessen einer goldenen Statue';
catalog['Measuring age on Earth'] = 'Das Alter der Erde messen';
catalog['Measuring age on earth'] = 'Das Alter der Erde messen';
catalog['Measuring and converting money word problems'] = 'Messung und Umwandlung von Geld - Textaufgaben';
catalog['Measuring angles in degrees'] = 'Winkel in Grad messen';
catalog['Measuring angles'] = 'Winkel messen';
catalog['Measuring area with unit squares'] = 'Messung einer Fl\u00e4che mit Einheits-Quadraten';
catalog['Measuring cost of living --inflation and the consumer price index'] = 'Measuring cost of living --inflation and the consumer price index';
catalog['Measuring information'] = 'Informationen messen';
catalog['Measuring lengths 1'] = 'L\u00e4ngenmessung 1';
catalog['Measuring lengths 2'] = 'L\u00e4ngenmessung 2';
catalog['Measuring lengths with different units'] = 'Messung von L\u00e4ngen mit verschiedenen Einheiten';
catalog['Measuring magnetic fields'] = 'Measuring magnetic fields';
catalog['Measuring segments'] = 'Strecken messen';
catalog['Measuring the Universe'] = 'Das Universum messen';
catalog['Measuring the divisibility of a number'] = 'Messung der Teilbarkeit einer Zahl';
catalog['Measuring the same rectangle with different unit squares'] = 'Das selbe Rechteck mit verschiedenen Einheitsquadraten messen';
catalog['Measuring the solar system'] = 'Measuring the solar system';
catalog['Measuring time word problems'] = 'Messung der Zeit - Textaufgaben';
catalog['Measuring volume as area times length'] = 'Wie man Volumen als mehrere Bereiche misst';
catalog['Measuring volume with unit cubes'] = 'Volumen mit W\u00fcrfeleinheiten berechnen';
catalog['Mechanical advantage (part 2)'] = 'Mechanical advantage (part 2)';
catalog['Mechanical advantage (part 3)'] = 'Mechanical advantage (part 3)';
catalog['Mechanical advantage'] = 'Mechanical advantage';
catalog['Mechanics of a share-based acquisition'] = 'Mechanics of a share-based acquisition';
catalog['Mechanics of repurchase agreements (repo transactions/loans)'] = 'Mechanics of repurchase agreements (repo transactions/loans)';
catalog['Mechanisms for acid and base catalyzed keto-enol tautomerization. By Jay.'] = 'Mechanisms for acid and base catalyzed keto-enol tautomerization. By Jay.';
catalog['Medea Sarcophagus'] = 'Medea Sarcophagus';
catalog['Medea Sarcophagus, 140 - 150 C.E., marble, 65 x 227 cm (Altes Museum, Berlin)'] = 'Medea Sarcophagus, 140 - 150 C.E., marble, 65 x 227 cm (Altes Museum, Berlin)';
catalog['Media and Technique'] = 'Media and Technique';
catalog['Median centroid right triangle example'] = 'Median centroid right triangle example';
catalog['Medians and centroids'] = 'Mediane und Schwerpunkte';
catalog['Medians divide into smaller triangles of equal area'] = 'Medians divide into smaller triangles of equal area';
catalog['Medicare is the federal health insurance program for the elderly and disabled, but many people might be confused about how it works and how it is funded. This video explains the history, structure, and financing of this program.<!--EndFragment-->'] = 'Medicare is the federal health insurance program for the elderly and disabled, but many people might be confused about how it works and how it is funded. This video explains the history, structure, and financing of this program.<!--EndFragment-->';
catalog['Medicare overview'] = 'Medicare overview';
catalog['Medicare sustainability'] = 'Medicare sustainability';
catalog['Medieval Europe and the Islamic world (3-1 to 3-2)'] = 'Medieval Europe and the Islamic world (3-1 to 3-2)';
catalog['Medieval and Byzantine art'] = 'Medieval and Byzantine art';
catalog['Medieval art in Europe'] = 'Medieval art in Europe';
catalog['Medieval artistic traditions include late antique, early Christian, Byzantine, Islamic, migratory, Carolingian*, Romanesque, and Gothic, named for their principal culture, religion, government, and/or artistic style. Continuities and exchanges between coexisting traditions in medieval Europe are evident in shared artistic forms, functions, and techniques. Contextual information comes primarily from literary, theological, and governmental (both secular and religious) records, which vary in quantity according to period and geographical region, and to a lesser extent from archaeological excavations. Elite religious and court cultures throughout the Middle Ages prioritized the study of theology, music, literary and poetic invention, and in the Islamic world, scientific and mathematical theory. Cultural and artistic exchanges were facilitated through trade and conquest.\n\nBy permission, \u00a9 2013 The College Board'] = 'Medieval artistic traditions include late antique, early Christian, Byzantine, Islamic, migratory, Carolingian*, Romanesque, and Gothic, named for their principal culture, religion, government, and/or artistic style. Continuities and exchanges between coexisting traditions in medieval Europe are evident in shared artistic forms, functions, and techniques. Contextual information comes primarily from literary, theological, and governmental (both secular and religious) records, which vary in quantity according to period and geographical region, and to a lesser extent from archaeological excavations. Elite religious and court cultures throughout the Middle Ages prioritized the study of theology, music, literary and poetic invention, and in the Islamic world, scientific and mathematical theory. Cultural and artistic exchanges were facilitated through trade and conquest.\n\nBy permission, \u00a9 2013 The College Board';
catalog['Medieval goldsmiths - Treasures of Heaven at the British Museum'] = 'Medieval goldsmiths - Treasures of Heaven at the British Museum';
catalog['Medieval goldsmiths were some of the most important craftsmen because they worked with precious metals. This video explores some of the techniques these craftsmen used and shows some of the extraordinary and beautiful objects of medieval craftsmanship that are on display in the exhibition.&nbsp;'] = 'Medieval goldsmiths were some of the most important craftsmen because they worked with precious metals. This video explores some of the techniques these craftsmen used and shows some of the extraordinary and beautiful objects of medieval craftsmanship that are on display in the exhibition.&nbsp;';
catalog['Medieval period: Coronation mantle'] = 'Medieval period: Coronation mantle';
catalog['Medieval period: Ilkhanid Mihrab'] = 'Medieval period: Ilkhanid Mihrab';
catalog['Medieval period: Two royal figures (Saljuq Period)'] = 'Medieval period: Two royal figures (Saljuq Period)';
catalog['Medieval'] = 'Medieval';
catalog['Meet 500 years of British art'] = 'Meet 500 years of British art';
catalog['Meet Me | Art Discussion Programs for Individuals with Dementia'] = 'Meet Me | Art Discussion Programs for Individuals with Dementia';
catalog['Meet Me | Art Making Programs for Individuals with Dementia'] = 'Meet Me | Art Making Programs for Individuals with Dementia';
catalog['Meet Tate Britain'] = 'Meet Tate Britain';
catalog['Meet the Professional'] = 'Meet the Professional';
catalog['Meet the heart!'] = 'Treffe das Herz!';
catalog['Meet the lungs'] = 'Treffe die Lunge';
catalog['Meet the placenta!'] = 'Meet the placenta!';
catalog['Mega millions jackpot probability'] = 'Mega-Millionen-Jackpot-Wahrscheinlichkeit';
catalog['Meiosis: Where the sex starts'] = 'Meiose: Wo der Sex beginnt';
catalog['Membrane dynamics'] = 'Membrane dynamics';
catalog['Membrane potentials - part 1'] = 'Membrane potentials - part 1';
catalog['Membrane potentials - part 2'] = 'Membrane potentials - part 2';
catalog['Memory - Passage 1'] = 'Memory - Passage 1';
catalog['Memory - Passage 2'] = 'Memory - Passage 2';
catalog['Memory reconstruction, source monitoring, and emotional memories'] = 'Memory reconstruction, source monitoring, and emotional memories';
catalog['Memory'] = 'Ged\u00e4chtnis';
catalog['Mental technique for subtraction without regrouping'] = 'Mentale Technik f\u00fcr die Subtraktion ohne Zehner\u00fcbergang';
catalog['Mergers and acquisitions'] = 'Fusionen und \u00dcbernahmen';
catalog['Meso compounds'] = 'Meso-Verbindungen';
catalog['Meta directors I'] = 'Meta directors I';
catalog['Meta directors II'] = 'Meta directors II';
catalog['Metacognition'] = 'Metakognition';
catalog['Method of undetermined coefficients'] = 'Methode der unbestimmten Koeffizienten';
catalog['Metric and U.S. customary units intro'] = 'Einf\u00fchrung in metrische und US \u00fcbliche Ma\u00dfeinheiten';
catalog['Metric system unit conversion'] = 'Das Metrische System und Einheitenumrechnung';
catalog['Metric system'] = 'Das Metrische System';
catalog['Metric unit conversion'] = 'Umrechnung metrischer Einheiten';
catalog['Metric units for fluid volume'] = 'Metrischen Einheiten f\u00fcr Volumen von Fluiden';
catalog['Metric units for weight'] = 'Metrischen Einheiten f\u00fcr Gewicht';
catalog['Mexican photographer Graciela Iturbide discusses the personal and cultural themes that inform her work. In Spanish with English subtitles. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Mexican photographer Graciela Iturbide discusses the personal and cultural themes that inform her work. In Spanish with English subtitles. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Michael Pacher, St. Wolfgang Altarpiece, c. 1479-81 (Church of St. Wolfgang, St. Wolfgang, Austria)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris\n\nFind out more here:\nhttp://Smarthistory.khanacademy.org/pacher-sankt-wolfgang-altarpiece.html\n\nFind related images here: \nhttp://Flickr.com/photos/profzucker/sets/72157632376739853/'] = 'Michael Pacher, St. Wolfgang Altarpiece, c. 1479-81 (Church of St. Wolfgang, St. Wolfgang, Austria)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris\n\nFind out more here:\nhttp://Smarthistory.khanacademy.org/pacher-sankt-wolfgang-altarpiece.html\n\nFind related images here: \nhttp://Flickr.com/photos/profzucker/sets/72157632376739853/';
catalog['Michelangelo Merisi da Caravaggio, Narcissus at the Source, oil on canvas, 1597-99 (Palazzo Barbarini) \n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Michelangelo Merisi da Caravaggio, Narcissus at the Source, \u00d6l auf Leinwand, 1597-99 (Palazzo Barbarini) \n\nSprecher: Dr. Beth Harris und Dr. Steven Zucker';
catalog['Michelangelo Merisi da Caravaggio, The Supper at Emmaus, 1601, oil on canvas, 55 x 77 inches, 141 x 196.2 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Michelangelo Merisi da Caravaggio, The Supper at Emmaus, 1601, \u00d6l auf Leinwand, 141cm x 196.cm (National Gallery, London)\n\nSprecher: Dr. Beth Harris und Dr. Steven Zucker';
catalog['Michelangelo, Ceiling of the Sistine Chapel, 1508-12, fresco (Vatican, Rome) Speakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Michelangelo, Ceiling of the Sistine Chapel, 1508-12, fresco (Vatican, Rome) Speakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Michelangelo, David'] = 'Michelangelo, David';
catalog['Michelangelo, David, marble, 1501-04 (Galleria dell\'Accademia, Florence)  \n\nA conversation with Khan Academy\'s Dr. Steven Zucker and Dr. Beth Harris'] = 'Michelangelo, David, Marmor, 1501-04 (Galleria dell\'Accademia, Florenz)  \n\nA Gespr\u00e4ch mit Khan Academys Dr. Steven Zucker und Dr. Beth Harris';
catalog['Michelangelo, Last Judgment (altar wall, Sistine Chapel)'] = 'Michelangelo, Last Judgment (altar wall, Sistine Chapel)';
catalog['Michelangelo, Last Judgment, Sistine Chapel Ceiling, fresco, 1534-1541 (Vatican City, Rome) Speakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Michelangelo, Last Judgment, Sistine Chapel Ceiling, fresco, 1534-1541 (Vatican City, Rome) Speakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Michelangelo, Laurentian Library (vestibule and reading room), begun 1524, opened 1571, \nSan Lorenzo, Florence'] = 'Michelangelo, Laurentian Library (vestibule and reading room), begun 1524, opened 1571, \nSan Lorenzo, Florence';
catalog['Michelangelo, Laurentian Library'] = 'Michelangelo, Laurenziana';
catalog['Michelangelo, Moses'] = 'Michelangelo, Moses';
catalog['Michelangelo, Moses, marble, ca. 1513-15 (San Pietro in Vincoli, Rome)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Michelangelo, Moses, Marble, ca. 1513-15 (San Pietro in Vincoli, Rom)\n\nSprecher: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Michelangelo, Piet\u00e0'] = 'Michelangelo, Piet\u00e0';
catalog['Michelangelo, Piet\u00e0, marble, 1498-1500 (Saint Peter\'s Basilica, Rome)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Michelangelo, Piet\u00e0, Marble, 1498-1500 (Saint Peter\'s Basilica, Rom)\n\nSprecher: Dr. Beth Harris und Dr. Steven Zucker';
catalog['Michelangelo, Slaves'] = 'Michelangelo, Sklaven';
catalog['Michelangelo, The Slaves (commonly referred to as the Dying Slave and the Rebellious Slave), marble, 2.09 m high, 1513-15 (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nUsually considered unfinished, these sculptures were originally intended for the tomb of Pope Julius II. According to the Louvre, the artist gave the marbles to Roberto Strozzi who presented them to the King of France.'] = 'Michelangelo, The Slaves (commonly referred to as the Dying Slave and the Rebellious Slave), marble, 2.09 m high, 1513-15 (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nUsually considered unfinished, these sculptures were originally intended for the tomb of Pope Julius II. According to the Louvre, the artist gave the marbles to Roberto Strozzi who presented them to the King of France.';
catalog['Michelangelo, ceiling of the Sistine Chapel'] = 'Michelangelo, ceiling of the Sistine Chapel';
catalog['Michelle and Michael talk about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1358" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1358">Bernini\'s <em>Boy with a Dragon</em></a>, 1614-20. This is from an imaginative tour at the Getty Center: The Supernatural in Art. <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'Michelle and Michael talk about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1358" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1358">Bernini\'s <em>Boy with a Dragon</em></a>, 1614-20. This is from an imaginative tour at the Getty Center: The Supernatural in Art. <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['Microeconomics'] = 'Mikro\u00f6konomie';
catalog['Microeconomics, macroeconomics, finance, accounting and capital markets.'] = 'Mikro\u00f6konomie, Makro\u00f6konomie, Finanzen, Buchhaltung und Kapitalm\u00e4rkte.';
catalog['Microsoft CEO Summit  Innovation in Education'] = 'Microsoft CEO Tagung zu Innovationen in der Bildung';
catalog['Microwaves (1930)'] = 'Mikrowellen (1930)';
catalog['Middle school content'] = 'Middle school content';
catalog['Midline, amplitude and period of a function'] = 'Mittellinie, Amplitude und Periodenl\u00e4nge einer Funktion';
catalog['Midpoint Formula'] = 'Mittelpunktformel';
catalog['Midpoint and distance on complex plane'] = 'Midpoint and distance on complex plane';
catalog['Midpoint formula'] = 'Mittelpunktformel';
catalog['Midpoint of a segment'] = 'Mittelpunkt einer Strecke';
catalog['Mies van der Rohe, Seagram Building'] = 'Mies van der Rohe, Seagram Building';
catalog['Might as well.'] = 'Might as well.';
catalog['Mighty mover angel'] = 'Mighty mover angel';
catalog['Mihrab (prayer niche), 1354--55 (A.H. 755), just after the Ilkhanid period, Isfahan, Iran, polychrome glazed tiles, 135-1/16 x 113-11/16 inches / 343.1 x 288.7 cm (Metropolitan Museum of Art, New York). Speakers: Dr. Elizabeth Macaulay Lewis and Dr. Steven Zucker'] = 'Mihrab (prayer niche), 1354--55 (A.H. 755), just after the Ilkhanid period, Isfahan, Iran, polychrome glazed tiles, 135-1/16 x 113-11/16 inches / 343.1 x 288.7 cm (Metropolitan Museum of Art, New York). Speakers: Dr. Elizabeth Macaulay Lewis and Dr. Steven Zucker';
catalog['Mike Leigh takes time out from shooting his new feature about the life and work of JMW Turner to share his passion for the great painter of landscape and light, and shows us how he takes detailed scenes from Turner&#39;s sketches and recreates them for the camera.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.'] = 'Mike Leigh takes time out from shooting his new feature about the life and work of JMW Turner to share his passion for the great painter of landscape and light, and shows us how he takes detailed scenes from Turner&#39;s sketches and recreates them for the camera.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.';
catalog['Milankovitch cycles   precession and obliquity'] = 'Milankovitch cycles   precession and obliquity';
catalog['Mileage assumption example'] = 'Kilometerstand annehmen - Beispiel';
catalog['Millais, Mariana'] = 'Millais, Mariana';
catalog['Millais, The Vale of Rest'] = 'Millais, The Vale of Rest';
catalog['Millet, L\'Angelus'] = 'Millet, L\'Angelus';
catalog['Millet, The Gleaners'] = 'Millet, The Gleaners';
catalog['Minerals present in the drill sample provided evidence of a previously habitable environment.<br>'] = 'Minerals present in the drill sample provided evidence of a previously habitable environment.<br>';
catalog['Mini-thresholds of life'] = 'Mini-thresholds of life';
catalog['Mini-video on ion size'] = 'Mini-video on ion size';
catalog['Minima, maxima and critical points'] = 'Minimum, Maximum und kritische Punkte';
catalog['Minima, maxima, and critical points.  Rates of change. Optimization. L\'Hopital\'s rule.  Mean value theorem.'] = 'Minima, Maxima und kritische Punkte. \u00c4nderungsraten. Optimierung. Regel von L\'Hospital. Mittelwertsatz.';
catalog['Minimalism and the land'] = 'Minimalism and the land';
catalog['Minimizing combined area'] = 'Minimizing combined area';
catalog['Minimizing sum of squares'] = 'Minimierung der Summe der Quadrate';
catalog['Minimizing the cost of a storage container'] = 'Minimizing the cost of a storage container';
catalog['Minimum members in a committee'] = 'Minimum der Mitglieder in einem Ausschuss';
catalog['Minimum wage and price floors'] = 'Minimum wage and price floors';
catalog['Minli Virdone'] = 'Minli Virdone';
catalog['Mirror, mirror on the wall . . . who is the fairest stereoisomer of all?  In this tutorial, Jay explains chirality and how to determine the absolute configuration at a chirality center.'] = 'Spieglein, Spieglein an der Wand... wer ist das sch\u00f6nste Stereoisomer im ganzen Land? \nHier erkl\u00e4rt Jay Chiralit\u00e4t und wie man die absolute Konfiguration eines Stereozentrums bestimmt.';
catalog['Miscellaneous'] = 'Verschiedenes';
catalog['Misleading Line Graphs'] = 'Irref\u00fchrende Liniendiagramme';
catalog['Misleading line graphs'] = 'Irref\u00fchrende Liniendiagramme';
catalog['Mitochondria, apoptosis, and oxidative stress'] = 'Mitochondria, apoptosis, and oxidative stress';
catalog['Mitosis, meiosis and sexual reproduction'] = 'Mitose, Meiose und sexuelle Fortpflanzung';
catalog['Mitosis, meiosis and sexual reproduction.  Understanding gametes, zygotes,  and haploid / diploid numbers.'] = 'Mitose, Meiose und sexuelle Fortpflanzung. Verst\u00e4ndnis von Gameten, Zygoten und haploiden/dioploiden Chromosomens\u00e4tzen.';
catalog['Mitosis: Splitting up is complicated'] = 'Mitose: Trennungen sind kompliziert';
catalog['Mixed (crossed) aldol condensation using a lithium enolate'] = 'Mixed (crossed) aldol condensation using a lithium enolate';
catalog['Mixed (crossed) aldol condensation'] = 'Mixed (crossed) aldol condensation';
catalog['Mixed number addition and subtraction'] = 'Multiplikation und Division von gemischten Br\u00fcchen';
catalog['Mixed number multiplication and division'] = 'Multiplikation und Division von gemischten Br\u00fcchen';
catalog['Mixed numbers and improper fractions'] = 'Gemischte Zahlen und unechte Br\u00fcche';
catalog['Mixed numbers'] = 'Gemischte Br\u00fcche';
catalog['Mixture problems 2'] = 'Mischungsprobleme 2';
catalog['Mixture problems 3'] = 'Mischungsprobleme 3';
catalog['MoMA Learning'] = 'MoMA Learning';
catalog['MoMA PS1 Director Klaus Biesenbach talks with artist Marina Abramovi\u0107 and actor James Franco. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.<br>'] = 'MoMA PS1 Director Klaus Biesenbach talks with artist Marina Abramovi\u0107 and actor James Franco. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.<br>';
catalog['MoMA-learning'] = 'MoMA-learning';
catalog['Mobius story: Wind and Mr. Ug'] = 'Mobius story: Wind and Mr. Ug';
catalog['Mobius strips'] = 'M\u00f6biusband';
catalog['Modeling a forgetting curve'] = 'Modeling a forgetting curve';
catalog['Modeling annual temperature variation with trigonometry'] = 'Modeling annual temperature variation with trigonometry';
catalog['Modeling constraints'] = 'Bedingungen modelieren';
catalog['Modeling temperature through the day'] = 'Modeling temperature through the day';
catalog['Modeling the solar system'] = 'Modeling the solar system';
catalog['Modeling ticket fines with exponential function'] = 'Modeling ticket fines with exponential function';
catalog['Modeling with Periodic Functions 2'] = 'Modeling with Periodic Functions 2';
catalog['Modeling with composite functions'] = 'Modellierung mit zusammengesetzten Funktionen';
catalog['Modeling with exponential functions'] = 'Modellieren mit exponentiellen Funktionen';
catalog['Modeling with function composition'] = 'Modellierung mit Funktionszusamensetzung';
catalog['Modeling with graphs'] = 'Modellierung mit Diagrammen';
catalog['Modeling with one-variable equations and inequalities'] = 'Modellierung von Gleichungen und Ungleichungen mit einer Variablen ';
catalog['Modeling with periodic functions'] = 'Modeling with periodic functions';
catalog['Modeling with two-variable equations and graphs'] = 'Modellierung mit zwei-Variablen-Gleichungen und Graphen';
catalog['Modelling the solar system'] = 'Modelling the solar system';
catalog['Moderate and weak activation, weak deactivation'] = 'Moderate and weak activation, weak deactivation';
catalog['Moderate inflation in a good economy'] = 'Moderate inflation in a good economy';
catalog['Modern Information Theory'] = 'Moderne Informationstheorie';
catalog['Modern cryptography'] = 'Moderne Kryptographie';
catalog['Modern discoveries'] = 'Moderne Entdeckungen';
catalog['Modern information theory'] = 'Moderne Informationstheorie';
catalog['Modernism (4-2 to 4-3)'] = 'Modernism (4-2 to 4-3)';
catalog['Modernism'] = 'Modernism';
catalog['Modigliani, Young Woman in a Shirt'] = 'Modigliani, Young Woman in a Shirt';
catalog['Modular addition'] = 'Modular addition';
catalog['Modular arithmetic'] = 'Modulare Arithmetik';
catalog['Modulo operator'] = 'Modulo operator';
catalog['Moholy-Nagy, Climbing the Mast'] = 'Moholy-Nagy, Climbing the Mast';
catalog['Moholy-Nagy, Composition A.XX'] = 'Moholy-Nagy, Composition A.XX';
catalog['Molarity vs. molality'] = 'Molarit\u00e4t vs. Molalit\u00e4t';
catalog['Molarity vs. osmolarity'] = 'Molarity vs. osmolarity';
catalog['Molarity, molality, osmolarity, osmolality, and tonicity - what\'s the difference?'] = 'Molarity, molality, osmolarity, osmolality, and tonicity - what\'s the difference?';
catalog['Mold-blown glass is forced against the inner surfaces of a mold and assumes its shape. Watch this ancient process (footage courtesy of Mark Taylor and David Hill-the Roman Glassmakers). Love art? <a href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Mold-blown glass is forced against the inner surfaces of a mold and assumes its shape. Watch this ancient process (footage courtesy of Mark Taylor and David Hill-the Roman Glassmakers). Love art? <a href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Mold-blown glass is made by blowing hot glass into a mold made of clay, wood, or metal. Watch a glassmaker use a mold with incised designs (footage from the Corning Museum of Glass). Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Mold-blown glass is made by blowing hot glass into a mold made of clay, wood, or metal. Watch a glassmaker use a mold with incised designs (footage from the Corning Museum of Glass). Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Molecular and Empirical Forumlas from Percent Composition. Example 2.9 from Kotz Chemistry book'] = 'Molecular and Empirical Forumlas from Percent Composition. Example 2.9 from Kotz Chemistry book';
catalog['Molecular and empirical formulas from percent composition'] = 'Molecular and empirical formulas from percent composition';
catalog['Molecular and empirical formulas'] = 'Molecular and empirical formulas';
catalog['Molecular orbital theory'] = 'Molek\u00fclorbitaltheorie';
catalog['Moments (part 2)'] = 'Momente (Teil 2)';
catalog['Moments'] = 'Momente';
catalog['Moments, torque and angular momentum'] = 'Momente, Drehmoment und Drehimpuls';
catalog['Momentum'] = 'Impuls';
catalog['Momentum: Ice skater throws a ball'] = 'Momentum: Ice skater throws a ball';
catalog['Mondrian, Composition No. II, with Red and Blue'] = 'Mondrian, Composition No. II, with Red and Blue';
catalog['Monet, Cliff Walk at Pourville'] = 'Monet, Cliff Walk at Pourville';
catalog['Monet, Gare St. Lazare'] = 'Monet, Gare St. Lazare';
catalog['Monet, Poplars'] = 'Monet, Poplars';
catalog['Monet, Rouen Cathedral Series'] = 'Monet, Rouen Cathedral Series';
catalog['Monet, The Argenteuil Bridge'] = 'Monet, The Argenteuil Bridge';
catalog['Monet, Water Lilies'] = 'Monet, Seerosen';
catalog['Monetary and fiscal policy'] = 'Monetary and fiscal policy';
catalog['Money and decimal place value intuition'] = 'Geld und Intuition des Dezimalstellenwertes';
catalog['Money and distance'] = 'Geld und Distanz';
catalog['Money supply and demand impacting interest rates'] = 'Money supply and demand impacting interest rates';
catalog['Money supply'] = 'Geldmenge';
catalog['Money supply: M0, M1, and M2'] = 'Money supply: M0, M1, and M2';
catalog['Money, banking and central banks'] = 'Geld, Banken und Zentralbanken';
catalog['Monkeys for a party'] = 'Affen f\u00fcr eine Party';
catalog['Monomial Greatest Common Factor'] = 'Gr\u00f6\u00dfter gemeinsamer Teiler eines Monoms';
catalog['Monomial greatest common factor'] = 'Gr\u00f6\u00dfter gemeinsamer Teiler eines Monoms';
catalog['Monopolies'] = 'Monopole';
catalog['Monopolist optimizing price: Dead weight loss'] = 'Monopolist optimizing price: Dead weight loss';
catalog['Monopolist optimizing price: Marginal revenue'] = 'Monopolist optimizing price: Marginal revenue';
catalog['Monopolist optimizing price: Total revenue.'] = 'Monopolist optimizing price: Total revenue.';
catalog['Monopolistic competition and economic profit'] = 'Monopolistic competition and economic profit';
catalog['Monopoly basics'] = 'Monopoly basics';
catalog['Monopoly'] = 'Monopol';
catalog['Monte Carlo simulation to answer LeBron\'s question'] = 'Monte Carlo simulation to answer LeBron\'s question';
catalog['Monty Hall problem'] = 'Ziegenproblem';
catalog['More Complicated Order of Operations Example'] = 'Kompliziertere Reihenfolge von Rechenoperationen - Beispiel';
catalog['More Drawing (Video Version)'] = 'More Drawing (Video Version)';
catalog['More Empirical Rule and Z-score practice'] = 'Mehr zu empirischen Regeln und Z-Transformation (z-Faktor) - \u00dcbung';
catalog['More Pythagorean Theorem examples.  Introduction to 45-45-90 triangles.'] = 'More Pythagorean Theorem examples.  Introduction to 45-45-90 triangles.';
catalog['More Rational Exponents and Exponent Laws'] = 'Mehr gebrochene Exponenten und Exponenten Gesetze';
catalog['More Simplifying Radical Expressions'] = 'Noch mehr Wurzelausdr\u00fccke zum Vereinfachen';
catalog['More advance ratio problem with algebra.'] = 'Verh\u00e4ltnis-Probleme mit Algebra f\u00fcr Fortgeschrittene.';
catalog['More advanced ratio problem with algebra'] = 'Verh\u00e4ltnis-Probleme mit Algebra f\u00fcr Fortgeschrittene';
catalog['More advanced ratio problems'] = 'Anspruchsvollere Verh\u00e4ltnis Probleme';
catalog['More analysis of the cupcake business.'] = 'More analysis of the cupcake business.';
catalog['More analytic geometry'] = 'Weitere analytische Geometrie';
catalog['More answers for School Leadership Briefing'] = 'Weitere Antworten der "F\u00fchrungskr\u00e4ftebesprechung f\u00fcr Schulen"';
catalog['More choices as to when you get your money.'] = 'More choices as to when you get your money.';
catalog['More clarification as to what entropy is and what entropy is not.'] = 'More clarification as to what entropy is and what entropy is not.';
catalog['More clarification on inferior and normal goods'] = 'More clarification on inferior and normal goods';
catalog['More complicated example involving launching and landing at different elevations'] = 'More complicated example involving launching and landing at different elevations';
catalog['More complicated order of operations example'] = 'Kompliziertere Reihenfolge von Rechenoperationen - Beispiel';
catalog['More detail on the Calvin Cycle and Photorespiration'] = 'Mehr Einzelheiten zum Calvin-Zyklus und der Photorespiration';
catalog['More detail on the Treaty of Versailles and Germany'] = 'More detail on the Treaty of Versailles and Germany';
catalog['More detail on the light reactions and photophorylation'] = 'Mehr Informationen zur lichtabh\u00e4ngigen Reaktion und zur Photophosphorylierung';
catalog['More determinant depth'] = 'More determinant depth';
catalog['More elegant way to find the sum of the exterior angles of a convex polygon'] = 'More elegant way to find the sum of the exterior angles of a convex polygon';
catalog['More equation practice'] = 'Weitere \u00dcbungen zu Gleichungen';
catalog['More evaluation of the surface integral'] = 'More evaluation of the surface integral';
catalog['More examples determining linear dependence or independence.'] = 'More examples determining linear dependence or independence.';
catalog['More examples of solving function problems'] = 'Weitere Beispiele f\u00fcr die L\u00f6sung von Funktionsproblemen';
catalog['More examples of the Angle Game.'] = 'Weitere Beispiele zum Winkel-Spiel.';
catalog['More examples of using definite integrals to calculate the area between curves'] = 'Weitere Beispiele f\u00fcr die Verwendung von bestimmten Integralen zur Berechnung der Fl\u00e4che zwischen Kurven';
catalog['More examples using 30-60-90 triangles.'] = 'Weitere Beispiele zur Verwendung von 30-60-90 Dreiecken.';
catalog['More exotic ways that a bank could buy transfer exposure to the taxpayer.'] = 'More exotic ways that a bank could buy transfer exposure to the taxpayer.';
catalog['More exponential decay examples'] = 'More exponential decay examples';
catalog['More fancy equations for beginners'] = 'Weitere ausgefallene Gleichungen f\u00fcr Anf\u00e4nger';
catalog['More fiscal cliff analysis'] = 'More fiscal cliff analysis';
catalog['More formal understanding of why a negative change in Gibbs Free Energy implies a spontaneous, irreversible reaction.'] = 'More formal understanding of why a negative change in Gibbs Free Energy implies a spontaneous, irreversible reaction.';
catalog['More hybridization'] = 'More hybridization';
catalog['More intuition of what a derivative is.  Using the derivative to find the slope at any point along f(x)=x^2'] = 'Was ist eine Ableitung intuitiv - mit der Ableitung die Steigung an jedem Punkt finden von f(x) = x^2';
catalog['More intuition on multiplying decimals'] = 'Noch mehr intuitives multiplizieren von Dezimalzahlen';
catalog['More intuition on orbitals.  Touching on electron configuration.'] = 'Mehr Erkenntnisse \u00fcber Orbitale. Wir fangen an, uns mit Elektronenkonfiguration zu befassen.';
catalog['More intuitive building blocks for exact equations.'] = 'More intuitive building blocks for exact equations.';
catalog['More investment vs. consumption examples.'] = 'More investment vs. consumption examples.';
catalog['More involved multiplying decimals example'] = 'Noch mehr Beispiele f\u00fcr Multiplikation von Dezimalzahlen';
catalog['More limit examples'] = 'More limit examples';
catalog['More limits at infinity'] = 'More limits at infinity';
catalog['More limits'] = 'More limits';
catalog['More long division and remainder examples'] = 'Weitere Beispiele f\u00fcr Schriftliche Division mit Rest';
catalog['More long division without and with remainders'] = 'Weitere schriftliche Divisionen mit und ohne Rest';
catalog['More manipulating the integrals...'] = 'More manipulating the integrals...';
catalog['More math practice coming your way in Section 8, starting on pg. 69 in the downloadable SAT.\n\nWant even more math practice? Check out sections 2 and 6 and the SAT Math practice topic.'] = 'More math practice coming your way in Section 8, starting on pg. 69 in the downloadable SAT.\n\nWant even more math practice? Check out sections 2 and 6 and the SAT Math practice topic.';
catalog['More mathy functions'] = 'Mehr Mathe Funktionen';
catalog['More multiplying polynomials'] = 'Noch mehr Polynome multiplizieren';
catalog['More negative exponent intuition'] = 'Mehr intuitives Verst\u00e4ndnis von negativen Exponenten';
catalog['More numbers than you probably imagine can be represented as the ratio of two integers.  We call these rational numbers. But there are also really amazing numbers that can\'t.  As you can guess, we call them irrational numbers.'] = 'Mehr Nummern, als Sie sich wahrscheinlich vorstellen k\u00f6nnen, sind darstellbar durch das Verh\u00e4ltnis von zwei ganzen Zahlen zueinander. Diese bezeichnen wir als rationale Zahlen. Allerdings gibt es auch sehr erstaunliche Nummern, die sich nicht durch ein solches Verh\u00e4ltnis darstellen lassen. Wir Sie vielleicht vermuten, bezeichnen wir diese als irrationale Zahlen.';
catalog['More numbers than you probably imagine can be represented as the ratio of two integers.  We call these rational numbers. But there are also really amazing numbers that can\'t.  As you can guess, we call them irrational numbers.\n\nCommon Core Standards: 8.NS.A.1, 8.NS.A.2'] = 'Mehr Zahlen, als du dir wahrscheinlich vorstellen kannst, sind durch das Verh\u00e4ltnis von zwei ganzen Zahlen zueinander darstellbar. Wir bezeichnen sie als rationale Zahlen. Allerdings gibt es auch erstaunliche Zahlen, die sich nicht durch ein solches Verh\u00e4ltnis darstellen lassen. Wir du vielleicht vermutest, bezeichnen wir diese als irrationale Zahlen.\n\nCommon Core Standards: 8.NS.A.1, 8.NS.A.2';
catalog['More of the derivation of the Poisson Distribution.'] = 'Mehr von der Ableitung der Poisson-Verteilung.';
catalog['More on IPOs'] = 'Mehr \u00fcber IPOs';
catalog['More on Matrix Addition and Scalar Multiplication'] = 'More on Matrix Addition and Scalar Multiplication';
catalog['More on Nash equilibrium'] = 'More on Nash equilibrium';
catalog['More on Plasma and Hydrogen bonds.'] = 'Mehr \u00fcber Plasma und Wasserstoffbr\u00fcckenbindungen.';
catalog['More on balance sheets and equity'] = 'Mehr \u00fcber Bilanzen und Eigenkapital';
catalog['More on complementary and supplementary angles.  Introduction to opposite angles.'] = 'More on complementary and supplementary angles.  Introduction to opposite angles.';
catalog['More on conditional probability.  Touch on Bayes\' Theorem.'] = 'Mehr zu bedingter Wahrscheinlichkeit.  Ein Blick auf den Satz von Bayes.';
catalog['More on curl'] = 'More on curl';
catalog['More on elasticity of demand'] = 'More on elasticity of demand';
catalog['More on entropy'] = 'More on entropy';
catalog['More on equivalent fractions'] = 'Mehr zu gleichwertigen Br\u00fcchen';
catalog['More on final and intermediate GDP contributions'] = 'More on final and intermediate GDP contributions';
catalog['More on free throws.'] = 'Mehr zu Freiw\u00fcrfen.';
catalog['More on how bank notes and checks can be used.'] = 'More on how bank notes and checks can be used.';
catalog['More on inflation and capacity utilization'] = 'More on inflation and capacity utilization';
catalog['More on internal energy'] = 'More on internal energy';
catalog['More on linear independence'] = 'Mehr zu linearer Unabh\u00e4ngigkeit';
catalog['More on matrix addition and scalar multiplication'] = 'More on matrix addition and scalar multiplication';
catalog['More on mechanical advantage, levers and moments.'] = 'More on mechanical advantage, levers and moments.';
catalog['More on mortgage-backed securities'] = 'More on mortgage-backed securities';
catalog['More on multiplying matrices.'] = 'Mehr zur Multiplikation von Matrizen.';
catalog['More on orbitals and electron configuration'] = 'Mehr \u00fcber Orbitale und Elektronenkonfiguration';
catalog['More on partial derivatives'] = 'Mehr zu partiellen Ableitungen';
catalog['More on probability.'] = 'Mehr zur Wahrscheinlichkeit.';
catalog['More on quantitative easing (and credit easing)'] = 'More on quantitative easing (and credit easing)';
catalog['More on quantitative easing'] = 'More on quantitative easing';
catalog['More on shifting aggregate planned expenditures.  Connecting to the multiplier'] = 'More on shifting aggregate planned expenditures.  Connecting to the multiplier';
catalog['More on significant figures'] = 'Mehr \u00fcber signifikante Stellen';
catalog['More on similar triangles'] = 'Mehr \u00fcber \u00e4hnliche Dreiecke';
catalog['More on simple and compound interest'] = 'Mehr zum Thema Einfach- und Zinseszins';
catalog['More on the "Plutsky Plan".'] = 'More on the "Plutsky Plan".';
catalog['More on the Central Limit Theorem and the Sampling Distribution of the Sample Mean'] = 'Mehr zum  Zentralen Grenzwertsatz und die Verteilung des Mittelwerts der Stichprobe';
catalog['More on the Geithner Plan.  The problem of banks buying the assets from themselves.'] = 'More on the Geithner Plan.  The problem of banks buying the assets from themselves.';
catalog['More on the binomial distribution'] = 'Mehr \u00fcber die Binomialverteilung';
catalog['More on the concept of multiplication'] = 'Mehr \u00fcber das Konzept der Multiplikation';
catalog['More on the difference between a theorem and axiom.  Proving a cool result using SSS'] = 'More on the difference between a theorem and axiom.  Proving a cool result using SSS';
catalog['More on the forces exerted by 2 current carrying wires on each other.'] = 'More on the forces exerted by 2 current carrying wires on each other.';
catalog['More on the mechanics of shorting stock.'] = 'More on the mechanics of shorting stock.';
catalog['More on the mechanics of the Federal Funds rate and how it increases the money supply.'] = 'More on the mechanics of the Federal Funds rate and how it increases the money supply.';
catalog['More on the return on asset discussion.'] = 'More on the return on asset discussion.';
catalog['More on the series A financing.  Going back for another round with a series B financing.'] = 'More on the series A financing.  Going back for another round with a series B financing.';
catalog['More on the weaknesses of fractional reserve banking.  The FDIC and deposit insurance and its side effects.'] = 'More on the weaknesses of fractional reserve banking.  The FDIC and deposit insurance and its side effects.';
catalog['More on total revenue and elasticity'] = 'More on total revenue and elasticity';
catalog['More on unit vector notation.  Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the head-to-tail method'] = 'More on unit vector notation.  Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the head-to-tail method';
catalog['More on why SSA is not a postulate'] = 'More on why SSA is not a postulate';
catalog['More on why the antiderivative and the area under a curve are essentially the same thing.'] = 'Mehr dazu, warum die Stammfunktion und die Fl\u00e4che unter einer Kurve im Wesentlichen das gleiche sind.';
catalog['More on work.  Introduction to Kinetic and Potential Energies.'] = 'More on work.  Introduction to Kinetic and Potential Energies.';
catalog['More percent problems'] = 'Mehr Prozent-Probleme';
catalog['More playing around with trig identities'] = 'More playing around with trig identities';
catalog['More practice carrying with multiple digit numbers'] = 'Mehr \u00dcbung zur Addition von mehrstelligen Zahlen mit \u00dcbertrag\n';
catalog['More practice solving equations, but now they\'ve got exponents & radicals. Radical!!'] = 'Mehr \u00dcbung im L\u00f6sen von Gleichungen, aber jetzt haben sie Exponenten & Wurzeln. Radikal!!';
catalog['More rational exponents and exponent laws'] = 'Mehr gebrochene Exponenten und Exponenten Gesetze';
catalog['More reasons why we haven\'t detected anything yet.'] = 'More reasons why we haven\'t detected anything yet.';
catalog['More rigorous Gibbs free energy / spontaneity relationship'] = 'More rigorous Gibbs free energy / spontaneity relationship';
catalog['More scientific notation examples'] = 'Weitere Beispiele f\u00fcr wissenschaftliche Schreibweise';
catalog['More than 1 billion people call themselves muslim and this monotheistic religion is now estimated to be the second largest in the world. Islamic culture was among the most advanced and tolerant during the Medieval era. Cities from Isfahan in the East to Grenada in the West became important centers of art and learning. This tutorial looks at the sculpture, tilework, costume and interior spaces of this brilliant culture.'] = 'More than 1 billion people call themselves muslim and this monotheistic religion is now estimated to be the second largest in the world. Islamic culture was among the most advanced and tolerant during the Medieval era. Cities from Isfahan in the East to Grenada in the West became important centers of art and learning. This tutorial looks at the sculpture, tilework, costume and interior spaces of this brilliant culture.';
catalog['More than just 0\'s and 1\'s, matrices are ways of organizing numbers. They are used extensively in computer graphics, simulations and information processing in general.'] = 'More than just 0\'s and 1\'s, matrices are ways of organizing numbers. They are used extensively in computer graphics, simulations and information processing in general.';
catalog['More than one equal section'] = 'Mehrere gleiche Abschnitte';
catalog['More than sixty years have passed since the critic Robert Coates, writing in "The New Yorker" in 1946, first used the term \u201cAbstract Expressionism\u201d to describe the richly colored canvases of Hans Hofmann. Over the years the name has come to designate the paintings and sculptures of artists as different as Jackson Pollock and Barnett Newman, Willem de Kooning and Mark Rothko, Lee Krasner and David Smith. Watch these short videos to explore some of the most important abstract art of the 20th century and the artists\' experiments with techniques.'] = 'More than sixty years have passed since the critic Robert Coates, writing in "The New Yorker" in 1946, first used the term \u201cAbstract Expressionism\u201d to describe the richly colored canvases of Hans Hofmann. Over the years the name has come to designate the paintings and sculptures of artists as different as Jackson Pollock and Barnett Newman, Willem de Kooning and Mark Rothko, Lee Krasner and David Smith. Watch these short videos to explore some of the most important abstract art of the 20th century and the artists\' experiments with techniques.';
catalog['More videos/info: http://vihart.com/doodlingCheck out this cool star-making applet Ruurtjan sent me: http://stars.ruurtjan.comDoodling Infinity Elephants: http://www.youtube.com/watch?v=DK5Z709J2eoDoodling Snakes + Graphs: http://www.youtube.com/watch?v=heKK95DAKmsDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com'] = 'Mehr Videos/Info: http://vihart.com/doodling \nSchau Dir diese coole Sterne-machen-App an, die mir Ruurtjan geschickt hat: http://stars.ruurtjan.com\nUnendlichkeits-Elefanten kritzeln: http://www.youtube.com/watch?v=DK5Z709J2eo\n Schlangen und Diagramme kritzeln: http://www.youtube.com/watch?v=heKK95DAKms\nBin\u00e4re B\u00e4ume kritzeln: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com';
catalog['More videos/info: http://vihart.com/doodlingDoodling Snakes + Graphs: http://www.youtube.com/watch?v=heKK95DAKmsDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com'] = 'Weitere Informationen/Videos: http://vihart.com/doodling\nSchlangen + Graphen Kritzelei: http://www.youtube.com/watch?v=heKK95DAKms\nSternen Kritzelei: http://www.youtube.com/watch?v=CfJzrmS9UfY\nBin\u00e4re B\u00e4ume Kritzelei: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com';
catalog['More videos/info: http://vihart.com/doodlingDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com'] = 'More videos/info: http://vihart.com/doodlingDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpIhttp://vihart.com';
catalog['More volumes around the x-axis.'] = 'Weitere Volumen um die x-Achse.';
catalog['Morisot, The Mother and Sister of the Artist'] = 'Morisot, The Mother and Sister of the Artist';
catalog['Morse code and the information age'] = 'Morse-Code und das Informationszeitalter';
catalog['Mortgage interest rates'] = 'Mortgage interest rates';
catalog['Mortgage-backed securities I'] = 'Mortgage-backed securities I';
catalog['Mortgage-backed securities II'] = 'Mortgage-backed securities II';
catalog['Mortgage-backed securities III'] = 'Mortgage-backed securities III';
catalog['Mortgage-backed securities'] = 'Mortgage-backed securities';
catalog['Mortgage-backed security overview'] = 'Mortgage-backed security overview';
catalog['Mortgages'] = 'Hypotheken';
catalog['Mosaics, Santa Prassede, Rome, early 9th century \n\nMosaics from the early 9th century, under Pope Paschal. The church is dedicated to Saint Praxedes and her sister Saint Pudentiana, daughters of Saint Pudens. The sisters were martyred because they provided Christian burials for martyrs, against Roman law. \n\nA Smarthistory video with Richard Bowen (courtesy of Context Travel, and Drs. Beth Harris and Steven Zucker)'] = 'Mosaics, Santa Prassede, Rome, early 9th century \n\nMosaics from the early 9th century, under Pope Paschal. The church is dedicated to Saint Praxedes and her sister Saint Pudentiana, daughters of Saint Pudens. The sisters were martyred because they provided Christian burials for martyrs, against Roman law. \n\nA Smarthistory video with Richard Bowen (courtesy of Context Travel, and Drs. Beth Harris and Steven Zucker)';
catalog['Most markets sit somewhere in-between perfect competition and monopolies.  This tutorial explores some of those scenarios--from monopolistic competition to oligopolies and duopolies.'] = 'Most markets sit somewhere in-between perfect competition and monopolies.  This tutorial explores some of those scenarios--from monopolistic competition to oligopolies and duopolies.';
catalog['Most modern economies use a counter-intuitive model of banking called "fractional reserve banking."  It is counter-intuitive (and some people would say wrong) because it allows banks to lend out money that it tells depositors is available at any time and essentially involves private banks in money creation.  It also creates the possibility of mass instability through bank runs that tend to be mitigated through government regulation and insurance (some would say government subsidy of banks).\n\nThis tutorial explains how fractional reserve lending works and outlines the good and bad.  It also talks about the alternative of full reserve banking.'] = 'Most modern economies use a counter-intuitive model of banking called "fractional reserve banking."  It is counter-intuitive (and some people would say wrong) because it allows banks to lend out money that it tells depositors is available at any time and essentially involves private banks in money creation.  It also creates the possibility of mass instability through bank runs that tend to be mitigated through government regulation and insurance (some would say government subsidy of banks).\n\nThis tutorial explains how fractional reserve lending works and outlines the good and bad.  It also talks about the alternative of full reserve banking.';
catalog['Most of us have borrowed to buy something.  Credit cards, in particular, can be quite convenient (but dangerous if not used in moderation).\n\nThis tutorial explains credit card interest, how credit card companies make money and a far more silly way of borrowing money called "payday" loans.'] = 'Viele von uns haben sich schon einmal Geld geliehen um etwas zu kaufen. Insbesondere Kreditkarten k\u00f6nnen dabei sehr bequem sein - allerdings sollten sie nicht im \u00dcberma\u00df eingesetzt werden. \nDiese \u00dcbung erkl\u00e4rt, wie Zinsen f\u00fcr Kreditkarten funktionieren, wie Geldinstitute mit Kreditkarten Geld verdienen und welche Gefahren \u00dcberbr\u00fcckungskredite mit sich bringen.';
catalog['Most of us learn to multiply eventually, but only a select-few actually understand what the multiplication represents.  This tutorial, with the help of area models, will allow you to be part of this elite group. '] = 'Die meisten von uns lernen die Multiplikation schlussendlich, aber nur eine kleine Gruppe Auserw\u00e4hlter versteht was die sie \u00fcberhaupt bedeutet. Dieses Tutorial wird dir, mit der Hilfe von Fl\u00e4chenmodellen, erlauben, Teil dieser ausgew\u00e4hlten Gruppe zu sein. ';
catalog['Most of us learn to multiply multi-digit numbers eventually, but only a select-few actually understand what the multiplication represents. This tutorial, with the help of grids and area models, will allow you to be part of this elite group.\n\nCommon Core Standard: 4.NBT.B.5\t'] = 'Die meisten von uns lernen irgendwann mehrstellige Zahlen zu multiplizieren, aber nur wenige Auserw\u00e4hlte verstehen tats\u00e4chlich, wof\u00fcr die Multiplikation steht. Dieses Tutorial wird dir mit der Hilfe von Gitternetzen und Fl\u00e4chen-Modellen erlauben, zu dieser elit\u00e4rer Gruppe zu geh\u00f6ren.\n\nCommon Core Standard: 4.NBT.B.5\t';
catalog['Most of what we call "lines" in everyday life are really line segments from a mathematical point of view.  This exercise makes you a bit more familiar with line segments by giving you some practice measuring and comparing them.\n\nHave fun!'] = 'Das, was wir im allt\u00e4glichen Leben als "Linie" bezeichnen, ist aus mathematischer Sicht in Wirklichkeit eine Strecke.  Diese \u00dcbungen lassen dich Strecken messen und vergleichen und machen dich so etwas vertrauter mit dieser Idee.\n\nViel Spa\u00df!';
catalog['Most people buying a home need a mortgage to do so.  This tutorial explains what a mortgage is and then actually does some math to figure out what your payments are (the last video is quite mathy so consider it optional).'] = 'Most people buying a home need a mortgage to do so.  This tutorial explains what a mortgage is and then actually does some math to figure out what your payments are (the last video is quite mathy so consider it optional).';
catalog['Most people have had the flu virus at least once in their lives, and it\u2019s usually not a pleasant experience\u2026  Fight back with some good information!  Learn about typical flu symptoms (and how tell it apart from the cold), and how the flu virus invades your cells to cause disease.  Finally, learn how flu vaccines may help prevent you from getting sick, and how we can test and treat the flu just in case you get really ill.  Stay healthy, my friends!'] = 'Die meisten Menschen hatten mindestens einmal den Influenzavirus, und es ist meist nicht sehr angenehm... Bek\u00e4mpfe ihn mit guten Informationen! Lerne die typischen Influenzasymptome (und wie du sie von einer einfachen Erk\u00e4ltung unterscheiden kannst), und wie der Virus in deine Zellen eindringt und die Krankheit erzeugt. Lerne am Ende, wie Impfungen der Krankheit vorbeugen und wie wir die Krankheit feststellen und behandeln, wenn du krank wirst. Bleib gesund,mein Freund!';
catalog['Most people know that you can measure angles with degrees, but only exceptionally worldly people know that radians can be an exciting alternative.  As you\'ll see, degrees are somewhat arbitrary (if we lived on a planet that took 600 days to orbit its star, we\'d probably have 600 degrees in a full revolution).  Radians are pure.  Seriously, they are measuring the angle in terms of how long the arc that subtends them is (measured in radiuseseses).  If that makes no sense, imagine measuring a bridge with car lengths.  If that still doesn\'t make sense, watch this tutorial!'] = 'Die meisten Menschen wissen, dass man Winkel in Grad messen kann, aber nur ausgeprochen gebildete Menschen wissen, dass Radianten eine spannende Alternative darstellen. Wie du sehen wirst, Grad sind sehr willk\u00fcrlich gew\u00e4hlt (wenn wir auf einem Planeten lebten, der 600 Tage f\u00fcr einen Orbit um seinen Stern bentigt, h\u00e4tten wir vermutlich 600 Grad in einer kompletten Umdrehung). Radianten sind nat\u00fcrlich. Ernsthaft, sie messen die L\u00e4nge des Bogens, den der Winkel aufspannt (als Vielfaches des Radius). Wenn das f\u00fcr dich keinen Sinn ergibt, stelle dir vor du misst eine Br\u00fccke in Autol\u00e4ngen. Wenn das immernoch keinen Sinn macht, schaue dir dieses Tutorial an!';
catalog['Motion along a line'] = 'Bewegung entlang einer Linie';
catalog['Motivation and attitudes'] = 'Motivation and attitudes';
catalog['Motivation and understanding of hyperbolic functions.'] = 'Motivation und Verstehen von hyperbolischen Funktionen.';
catalog['Motivation for the futures exchange'] = 'Motivation for the futures exchange';
catalog['Motivations and attitudes - Passage 1'] = 'Motivations and attitudes - Passage 1';
catalog['Motivations and attitudes - Passage 2'] = 'Motivations and attitudes - Passage 2';
catalog['Motor controller connection to Arduino'] = 'Motor controller connection to Arduino';
catalog['Motor controller connections'] = 'Motor controller connections';
catalog['Motor controller functions'] = 'Motor controller functions';
catalog['Motor controller'] = 'Motor controller';
catalog['Motor neurons'] = 'Motor neurons';
catalog['Motors/propulsion'] = 'Motors/propulsion';
catalog['Mountain height word problem'] = 'Textaufgabe zur H\u00f6henbestimmung eines Berges';
catalog['Mouthing off to Malthus'] = 'Mouthing off to Malthus';
catalog['Move Users to Group'] = 'Move Users to Group';
catalog['Move a decimal point to express a number in scientific notation.'] = 'Verschiebe eine Dezimalstelle um eine Zahl in wissenschaftlicher Notation auszudr\u00fccken.';
catalog['Move block'] = 'Move block';
catalog['Moving the decimal to multiply and divide by 10'] = 'Dezimalstelle verschieben, um mit 10 zu multiplizieren oder durch 10 zu dividieren';
catalog['Mrs. Rowhani\'s third graders learn about matter and energy by building a Spout bot with Khan Academy. \n\nSpecial thanks to: Santa Rita\'s volunteer parents, Kami Thordarson, Karen Wilson and of course Laleh Rowhani the class teacher.'] = 'Frau Rowhanis Drittkl\u00e4ssler lernen etwas \u00fcber Materie und Energie durch den Bau eines Spout-Roboters zusammen mit der Khan Academy. \n\nBesonderen Dank an: Ehrenamtlich helfende Eltern aus Santa Rita, Kami Thordarson, Karen Wilson und nat\u00fcrlich die Klassenlehrerin Laleh Rowhani.';
catalog['Much of algebra seems obsessed with "doing the same thing to both sides".  Why is this?  How can we develop an intuition for which algebraic operations are valid and which ones aren\'t?\n\nThis tutorial takes a high-level, conceptual walk-through of what an equation represents and why we do the same thing to both sides of it.'] = 'Ein Gro\u00dfteil der Algebra scheint vom "auf beiden Seiten das Gleiche machen" besessen zu sein. Warum ist das so? Wie k\u00f6nnen wir ein Gef\u00fchl daf\u00fcr entwickeln, welche algebraischen Operationen gelten und welche nicht?\n\n Dieses Tutorial bietet auf konzeptionelle Weise eine Anleitung  auf hohem Niveau dar\u00fcber, was eine Gleichung darstellt und warum wir auf beiden Seiten das Gleiche machen.';
catalog['Much of algebra seems obsessed with "doing the same thing to both sides". Why is this? How can we develop an intuition for which algebraic operations are valid and which ones aren\'t? This tutorial takes a high-level, conceptual walk-through of what an equation represents and why we do the same thing to both sides of it.\n\nCommon Core Standard: 6.EE.B.7'] = 'Ein Gro\u00dfteil der Algebra scheint davon besessen zu sein,  "auf beiden Seiten das Gleiche zu machen". Warum ist das so? Wie k\u00f6nnen wir ein Gef\u00fchl daf\u00fcr entwickeln, welche algebraischen Operationen gelten und welche nicht?\n\n Dieses Tutorial bietet auf konzeptionelle Weise eine Anleitung  auf hohem Niveau dar\u00fcber, was eine Gleichung darstellt und warum wir auf beiden Seiten das Gleiche machen.\n\nCommon Core Standard: 6.EE.B.7';
catalog['Much of the reason why math is interesting is that it can be used to model real-world phenomena.  In this tutorial, we\'ll do just this with graphs.'] = 'Ein Hauptgrund, weshalb Mathe interessant ist, ist dass es verwendet werden kann, um Ph\u00e4nomene in der echten Welt zu modellieren.  In diesem Tutorial werden wir genau dies mit Diagrammen tun.';
catalog['Multi step word problems with whole numbers exercise 1'] = 'Mehrstufige Textaufgaben mit ganzen Zahlen - \u00dcbung 1';
catalog['Multi step word problems with whole numbers exercise 2'] = 'Mehrstufige Textaufgaben mit ganzen Zahlen - \u00dcbung 2';
catalog['Multi step word problems with whole numbers exercise 3'] = 'Mehrstufige Textaufgaben mit ganzen Zahlen - \u00dcbung 3';
catalog['Multi-Step Equations'] = 'Gleichungen in mehreren Schritten l\u00f6sen';
catalog['Multi-Step Inequalities 2'] = 'Mehrstufige Ungleichheiten 2';
catalog['Multi-digit division without remainders'] = 'Division mit mehrstelligen Zahlen ohne Rest';
catalog['Multi-digit division'] = 'Division mehrstelliger Zahlen';
catalog['Multi-digit multiplication'] = 'Multiplikation mit mehrstelligen Zahlen';
catalog['Multi-step equations 1'] = 'Mehrstufige Gleichungen 1';
catalog['Multi-step equations 2'] = 'Kompliziertere Gleichungen 2';
catalog['Multi-step equations with distribution'] = 'Gleichungen mit mehreren L\u00f6sungsschritten und Ausmultiplizieren';
catalog['Multi-step equations without variables'] = 'Mehrstufige Gleichungen ohne Variablen';
catalog['Multi-step inequalities 2'] = 'Mehrstufige Ungleichheiten 2';
catalog['Multi-step inequalities 3'] = 'Mehrstufige Ungleichheiten 3';
catalog['Multi-step inequalities'] = 'Mehrstufige Ungleichheiten';
catalog['Multi-step linear inequalities'] = 'Mehrstufige lineare Ungleichungen';
catalog['Multi-step word problems (example 1)'] = 'Mehrstufige Textaufgaben (Beispiel 1)';
catalog['Multi-step word problems (example 2)'] = 'Mehrstufige Textaufgaben (Beispiel 2)';
catalog['Multi-step word problems (example 3)'] = 'Mehrstufige Textaufgaben (Beispiel 3)';
catalog['Multi-step word problems with whole numbers'] = 'Mehrschrittige Testaufgaben mit ganzen Zahlen';
catalog['Multi-step word problems'] = 'Mehrstufige Textaufgaben';
catalog['Multiple arguments for what we could get when we divide zero by zero.  We will later see that this can be considered indeterminate'] = 'Mehrere Argumente f\u00fcr ein m\u00f6gliches Ergebnis, wenn wir Null durch Null dividieren.  Wir werden sp\u00e4ter sehen, dass dies als unbestimmt betrachtet werden kann';
catalog['Multiple digit numbers'] = 'Mehrstellige Zahlen';
catalog['Multiple examples graphing parabolas using roots and vertices'] = 'Mehrere Beispiele, f\u00fcr die grafische Darstellung von Parabeln mit Wurzeln und Wendepunkten';
catalog['Multiple examples looking for similarity of triangles'] = 'Multiple examples looking for similarity of triangles';
catalog['Multiple examples of constructing linear equations in slope-intercept form'] = 'Mehrere Beispiele f\u00fcr die Konstruktion von linearen Gleichungen mit Steigung-Schnittpunktformel';
catalog['Multiple examples of multiple constraint problems'] = 'Mehrere Beispiele f\u00fcr mehrere Einschr\u00e4nkungsprobleme';
catalog['Multiple proofs showing that a point is on a perpendicular bisector of a segment if and only if it is equidistant from the endpoints.  Using this to establish the circumcenter, circumradius, and circumcircle for a triangle'] = 'Multiple proofs showing that a point is on a perpendicular bisector of a segment if and only if it is equidistant from the endpoints.  Using this to establish the circumcenter, circumradius, and circumcircle for a triangle';
catalog['Multiple rates word problem'] = 'Mehrfache Zuwachsraten - Textaufgabe';
catalog['Multiple substituents'] = 'Multiple substituents';
catalog['Multiple ways to solve for the angles of multiple triangles'] = 'Mehrere M\u00f6glichkeiten, die Winkel von mehreren Dreiecken herauszufinden';
catalog['Multiplication 2: The multiplication tables'] = 'Multiplikation 2: Das Einmaleins';
catalog['Multiplication 3: 10,11,12 times tables'] = 'Multiplikation 3: 10,11,12 Mal Tabellen';
catalog['Multiplication 3: Learning to multiply 10, 11, and 12.'] = 'Multiplikation 3: Lernen, 10, 11 und 12 zu multiplizieren.';
catalog['Multiplication 7: Old video giving more examples'] = 'Multiplikation 7: Altes Video mit weiteren Beispielen';
catalog['Multiplication and decimals'] = 'Multiplikation und Dezimalzahlen';
catalog['Multiplication and division are two of the most important operations to understand in math.  If you drink 2 cups of water, 5 times, how much water have you drunk?  If you need to divide 9 slices of cake between 3 friends, how much cake does each friend get?  '] = 'Multiplikation und Division sind zwei der wichtigsten Rechenoperationen in der Mathematik die man beherrschen sollte.  Wenn du 2 Tassen Wasser trinkst, 5 mal, wie viel Wasser hast du getrunken?  Wenn du 9 Kuchenst\u00fccke zwischen 3 Freunden aufteilst, wieviel Kuchen bekommt jeder Freund?  ';
catalog['Multiplication and division word problems'] = 'Textaufgaben zur Multiplikation und Division 2';
catalog['Multiplication and division'] = 'Multiplikation und Division';
catalog['Multiplication as groups of objects'] = 'Multiplikation als Gruppe von Objekten';
catalog['Multiplication as scaling'] = 'Multiplikation als Skalierung';
catalog['Multiplication by powers of 10'] = 'Multiplikation mit Zehnerpotenzen';
catalog['Multiplication estimation example'] = 'Multiplikation - Sch\u00e4tzbeispiel';
catalog['Multiplication with carrying'] = 'Multiplizieren mit Merken';
catalog['Multiplication without carrying'] = 'Multiplikation ohne Merken';
catalog['Multiplication word problem example 1'] = 'Multiplikation - Textaufgaben 1';
catalog['Multiplication'] = 'Multiplikation';
catalog['Multiply 2 digits by 2 digits with carrying.'] = 'Multipliziere 2-stellige mit 2-stelligen Zahlen mit \u00dcbertrag.';
catalog['Multiply 2- or 3-digit numbers by 1-digit numbers. No carrying.'] = 'Multiplizieren Sie 2 stellige oder 3 stellige mit 1 stelligen Zahlen. Keinen \u00dcbertrag.';
catalog['Multiply 2-3 digits by 3-4 digits with carrying.'] = 'Multipliziere 2-3-stellige mit 3-4-stelligen Zahlen mit \u00dcbertrag.';
catalog['Multiply 3 or 4 digits by 1-digit with carrying.'] = 'Multiplikation dreistelliger oder vierstelliger Zahlen mit einer einstellige Zahl mit \u00dcbertrag';
catalog['Multiply a 1-digit number by a multiple of 10.'] = 'Eine einstellige Zahl mit einem Vielfachen von 10 multiplizieren';
catalog['Multiply a matrix by a scalar'] = 'Multipliziere eine Matrix mit einer Skalar';
catalog['Multiply a matrix by a vector'] = 'Multipliziere eine Matrix mit einem Vektor';
catalog['Multiply and Simply a Radical Expression'] = 'Multiplizieren und vereinfachen eines Wurzelausdrucks';
catalog['Multiply and divide complex numbers in polar form, and plot the answer by specifying the radius and angle.'] = 'Multiply and divide complex numbers in polar form, and plot the answer by specifying the radius and angle.';
catalog['Multiply and divide rational numbers'] = 'Multiply and divide rational numbers';
catalog['Multiply and simplify a radical expression 1'] = 'Multiplizieren und vereinfachen eines Wurzelausdrucks 1';
catalog['Multiply and simplify a radical expression 2'] = 'Multiplizieren und vereinfachen eines Wurzelausdrucks 2';
catalog['Multiply by tens word problems'] = 'Multiplizieren mit Zehnern: Textaufgaben';
catalog['Multiply by tens'] = 'Mit Zehnern multipliizieren';
catalog['Multiply expressions containing radicals.'] = 'Multipliziere Ausdr\u00fccke, in denen Wurzeln vorkommen.';
catalog['Multiply or divide positive and negative integers. No remainder.'] = 'Multipliziere oder dividiere positive und negative Ganzzahlen. Ohne Restbetr\u00e4ge.';
catalog['Multiply two 1-digit numbers. Some problems include multiplying by 10.'] = 'Multipliziere zwei einstellige Zahlen. Einige Aufgaben enthalten die Multiplikation mit 10.';
catalog['Multiply two expressions with variables and exponents to get a polynomial'] = 'Multipliziere zwei Ausdr\u00fccke mit Variablen und Exponenten um ein Polynom zu erzeugen';
catalog['Multiply two matrices'] = 'Multiplikation zweier Matrizen';
catalog['Multiplying  2 digit numbers'] = '2 stellige Zahlen multiplizieren';
catalog['Multiplying 1-digit numbers'] = 'Multiplikation mit einstelligen Zahlen';
catalog['Multiplying 2 digits by 2 digits'] = 'Multiplikation einer 2-stelligen Zahl mit einer 2-stelligen Zahl';
catalog['Multiplying 2-digit numbers with area models'] = 'Multiplikation von 2-stelligen Zahlen mit Fl\u00e4chen Modellen';
catalog['Multiplying 4 digit and 1 digit using grid'] = 'Multiplikation von 4-stelliger und 1-stelliger Zahl mit Raster';
catalog['Multiplying Binomials with Radicals'] = 'Multiplizieren von Binomen mit Wurzel';
catalog['Multiplying Complex Numbers'] = 'Multiplikation komplexer Zahlen';
catalog['Multiplying Decimals 3'] = 'Dezimalzahlen multiplizieren 3';
catalog['Multiplying Decimals'] = 'Dezimalzahlen multiplizieren';
catalog['Multiplying Fractions Word Problem'] = 'Textaufgabe zur Multiplikation von Br\u00fcchen';
catalog['Multiplying Fractions and Mixed Numbers'] = 'Multiplizieren von Br\u00fcchen und gemischten Zahlen';
catalog['Multiplying Fractions'] = 'Br\u00fcche multiplizieren';
catalog['Multiplying Mixed Numbers'] = 'Gemischte Br\u00fcche multiplizieren';
catalog['Multiplying Monomials by Polynomials'] = 'Monome mit Polynomen multiplizieren';
catalog['Multiplying Monomials'] = 'Multiplikation von Monomen';
catalog['Multiplying Polynomials 3'] = 'Polynome multiplizieren 3';
catalog['Multiplying Polynomials'] = 'Polynome multiplizieren';
catalog['Multiplying Whole Numbers and Applications 1'] = 'Ganze Zahlen multiplizieren und Anwendungen 1';
catalog['Multiplying Whole Numbers and Applications 2'] = 'Ganze Zahlen multiplizieren und Anwendungen 2';
catalog['Multiplying Whole Numbers and Applications 6'] = 'Ganze Zahlen multiplizieren und Anwendungen 6';
catalog['Multiplying a 2-digit number times a 2-digit number'] = 'zweistellige Zahlen mit eineander multiplizieren';
catalog['Multiplying a Decimal by a Power of 10'] = 'eine Dezimalzahl mit einer Zehnerpotenz multiplizieren';
catalog['Multiplying a decimal by a power of 10'] = 'eine Dezimalzahl mit einer Zehnerpotenz multiplizieren';
catalog['Multiplying a fraction by a fraction'] = 'einen Bruch mit einem Bruch multiplizieren';
catalog['Multiplying a matrix by a column vector'] = 'Multiplikation einer Matrix mit einem Spaltenvektor';
catalog['Multiplying a matrix by a matrix'] = 'Multiplikation von Matrizen';
catalog['Multiplying a matrix by a vector'] = 'Multiplikation einer Matrix mit einem Vektor';
catalog['Multiplying a rational expression in the form (Ax+B)/(Cx+D) by a constant.'] = 'Multiplikation eines rationalen Ausdrucks in der Form (Ax+B)/(Cx+D) mit einer Konstanten.';
catalog['Multiplying a vector by a scalar'] = 'Multiplying a vector by a scalar';
catalog['Multiplying and Dividing  Monomials 1'] = 'Multiplikation und Division von Monomen 1';
catalog['Multiplying and Dividing Monomials 2'] = 'Multiplikation und Division von Monomen 2';
catalog['Multiplying and Dividing Monomials 3'] = 'Multiplikation und Division von Monomen 3';
catalog['Multiplying and Dividing Rational Expressions 1'] = 'Multiplikation und Division von rationalen Ausdr\u00fccken 1';
catalog['Multiplying and Dividing Rational Expressions 2'] = 'Multiplikation und Division von rationalen Ausdr\u00fccken 2';
catalog['Multiplying and Dividing Rational Expressions 3'] = 'Multiplikation und Division von rationalen Ausdr\u00fccken 3';
catalog['Multiplying and Simplifying Rational Expressions'] = 'Multiplikation und Vereinfachung von rationalen Ausdr\u00fccken';
catalog['Multiplying and dividing  monomials 1'] = 'Multiplikation und Division von Monomen 1';
catalog['Multiplying and dividing complex numbers in polar form'] = 'Multiplikation und Division komplexer Zahlen in Polarform';
catalog['Multiplying and dividing complex numbers'] = 'Multiplying and dividing complex numbers';
catalog['Multiplying and dividing fractions'] = 'Br\u00fcche multiplizieren und dividieren';
catalog['Multiplying and dividing in scientific notation'] = 'Multiplizieren und dividieren in wissenschaftlicher Schreibweise';
catalog['Multiplying and dividing monomials 2'] = 'Multiplikation und Division von Monomen 2';
catalog['Multiplying and dividing monomials 3'] = 'Multiplikation und Division von Monomen 3';
catalog['Multiplying and dividing monomials'] = 'Multiplikation und Division von Monomen';
catalog['Multiplying and dividing negative numbers'] = 'Multiplikation und Division negativer Zahlen';
catalog['Multiplying and dividing positive and negative whole numbers, understanding place value, and rounding numbers.'] = 'Multiplikation und Division von positiven und negativen ganzen Zahlen, den Stellenwert einer Zahl erkennen, Zahlen runden.';
catalog['Multiplying and dividing rational expressions  1'] = 'Multiplikation und Division von rationalen Ausdr\u00fccken 1';
catalog['Multiplying and dividing rational expressions 1'] = 'Multiplikation und Division von rationalen Ausdr\u00fccken 1';
catalog['Multiplying and dividing rational expressions 2'] = 'Multiplikation und Division von rationalen Ausdr\u00fccken 2';
catalog['Multiplying and dividing rational expressions 3'] = 'Multiplikation und Division von rationalen Ausdr\u00fccken 3';
catalog['Multiplying and dividing rational expressions 4'] = 'Multiplikation und Division von rationalen Ausdr\u00fccken 4';
catalog['Multiplying and dividing rational expressions 5'] = 'Multiplikation und Division von rationalen Ausdr\u00fccken 5';
catalog['Multiplying and dividing rational expressions'] = 'Multiplikation und Division von rationalen Ausdr\u00fccken';
catalog['Multiplying and dividing scientific notation'] = 'Multiplizieren und dividieren in wissenschaftlicher Schreibweise';
catalog['Multiplying and dividing with significant figures'] = 'Multiplikation und Division mit signifikanten Stellen';
catalog['Multiplying and factoring expressions'] = 'Multiplizieren und Faktorisieren von Ausdr\u00fccken';
catalog['Multiplying and simplifying rational expressions'] = 'Multiplikation und Vereinfachung von rationalen Ausdr\u00fccken';
catalog['Multiplying binomials example 1'] = 'Multiplikation von Bionomen-Beispiel 1';
catalog['Multiplying binomials to get difference of squares'] = 'Binome multiplizieren, um die Differenz von Quadraten zu erhalten';
catalog['Multiplying binomials with radicals'] = 'Multiplizieren von Binomen mit Wurzel';
catalog['Multiplying binomials word problem'] = 'Textaufgabe: Binome multiplizieren';
catalog['Multiplying binomials'] = 'Binome multiplizieren';
catalog['Multiplying by 10'] = 'Multiplikation mit 10';
catalog['Multiplying by 2'] = 'Multiplikation mit 2';
catalog['Multiplying by 3'] = 'Multiplikation mit 3';
catalog['Multiplying by 4'] = 'Multiplikation mit 4';
catalog['Multiplying by 4-digit numbers with visual models'] = 'Multiplikation mit vierstelligen Zahlen mit visuellen Modellen';
catalog['Multiplying by 5'] = 'Multiplikation mit 5';
catalog['Multiplying by 6'] = 'Multiplikation mit 6';
catalog['Multiplying by 7'] = 'Multiplikation mit 7';
catalog['Multiplying by 8'] = 'Multiplikation mit 8';
catalog['Multiplying by 9'] = 'Multiplikation mit 9';
catalog['Multiplying by multiples of 10'] = 'Mit einem Vielfachen von 10 multiplizieren';
catalog['Multiplying by tens'] = 'Multiplikation mit Vielfachen von 10';
catalog['Multiplying by the inverse of a matrix is the closest thing we have to matrix division.  Like multiplying a regular number by its reciprocal to get 1, multiplying a matrix by its inverse gives us the identity matrix (1 could be thought of as the "identity scalar").\n\nThis tutorial will walk you through this sometimes involved process which will become bizarrely fun once you get the hang of it.'] = 'Multiplizieren mit dem Inversen einer Matrix kommt dem Dividieren der Matrix am n\u00e4chsten.  So wie das Multiplizieren einer nat\u00fcrlichen Zahl mit ihrem Kehrwert 1 ergibt, erhalten wir bei der Multiplikation einer Matrix mit ihrem Inversen die Einheitsmatrix (1 kann als der "Einheitsskalar" angesehen werden).  Diese Anleitung f\u00fchrt Dich durch diesen manchmal komplexen Prozess, welcher komischerweise zum Vergn\u00fcgen wird, sobald Du den Dreh raus hast.';
catalog['Multiplying complex numbers'] = 'Multiplikation komplexer Zahlen';
catalog['Multiplying decimals 1'] = 'Dezimalzahlen multiplizieren 1';
catalog['Multiplying decimals 2'] = 'Dezimalzahlen multiplizieren 2';
catalog['Multiplying decimals 3'] = 'Dezimalzahlen multiplizieren 3';
catalog['Multiplying decimals'] = 'Dezimalzahlen multiplizieren';
catalog['Multiplying dependent probabilities'] = 'Multiplying dependent probabilities';
catalog['Multiplying expressions 0.5'] = 'Ausdr\u00fccke multiplizieren 0.5';
catalog['Multiplying expressions 1'] = 'Multiplikation von Termen 1';
catalog['Multiplying expressions in the form (x+b)(x-b), (x+b)^2, or (x-b)^2'] = 'Ausdr\u00fccke der Form (x+b)(x-b), (x+b)^2, or (x-b)^2 multiplizieren';
catalog['Multiplying expressions in the form of polynomials (not perfect squares).'] = 'Multiplizieren von Ausdr\u00fccken in Polynomform (keine perfekten Quadratzahlen).';
catalog['Multiplying fractions 0.5'] = 'Br\u00fcche muliplizieren 0.5';
catalog['Multiplying fractions and mixed numbers'] = 'Multiplizieren von Br\u00fcchen und gemischten Zahlen';
catalog['Multiplying fractions and whole numbers word problems'] = 'Multiplikation von Bruchzahlen und ganzen Zahlen - Textaufgaben';
catalog['Multiplying fractions and whole numbers'] = 'Multiplikation von Bruchzahlen und ganzen Zahlen';
catalog['Multiplying fractions by fractions word problems'] = 'Br\u00fcche mit Br\u00fcchen Multiplizieren: Textaufgaben';
catalog['Multiplying fractions by integers'] = 'Br\u00fcche mit einer ganzen Zahl multiplizieren';
catalog['Multiplying fractions is useful. Period. That\'s all we really have to say.  Believe us don\'t believe us.  You\'ll learn eventually.  \n\nThis tutorial will have you multiplying in real-world scenarios (which is almost as fun as completely artificial, fake scenarios).'] = 'Br\u00fcche multiplizieren zu k\u00f6nnen ist n\u00fctzlich. Punkt. Das ist alles was wir dazu zu sagen haben. Glaub es uns oder nicht. Du wirst es schon noch lernen. \n\nIn dieser \u00dcbung wirst du in realen Szenarien multiplizieren - was fast so viel Spa\u00df macht wie komplett k\u00fcnstlich erstellte Szenarien.';
catalog['Multiplying fractions is useful. Period. That\'s all we really have to say. Believe us don\'t believe us. You\'ll learn eventually. This tutorial will have you multiplying in real-world scenarios (which is almost as fun as completely artificial, fake scenarios).\n\nCommon Core Standard: 5.NF.B.6'] = 'Br\u00fcche multiplizieren zu k\u00f6nnen ist n\u00fctzlich. Punkt. Das ist alles was wir dazu zu sagen haben. Glaub es uns oder nicht. Du wirst es schon noch lernen. \n\nIn dieser \u00dcbung wirst du in realen Szenarien multiplizieren - was fast so viel Spa\u00df macht wie komplett k\u00fcnstlich erstellte Szenarien';
catalog['Multiplying fractions word problems'] = 'Multiplikation von Br\u00fcchen - Textaufgaben';
catalog['Multiplying fractions'] = 'Br\u00fcche multiplizieren';
catalog['Multiplying in scientific notation example'] = 'Multiplikation in wissenschaftlicher Schreibweise - Beispiel';
catalog['Multiplying in scientific notation'] = 'Multiplikation in wissenschaftlicher Schreibweise';
catalog['Multiplying mixed numbers'] = 'Gemischte Br\u00fcche multiplizieren';
catalog['Multiplying monomials by polynomials'] = 'Monome mit Polynomen multiplizieren';
catalog['Multiplying monomials'] = 'Multiplikation von Monomen';
catalog['Multiplying monomials, binomials and polynomials in general'] = 'Multiplikation Monome, Binome und Polynome im allgemeinen';
catalog['Multiplying negative and positive fractions'] = 'Multiplikation von negativen und positiven Br\u00fcchen';
catalog['Multiplying or dividing a rational expression in the form (Ax+B)/C by a variable Dx/E.'] = 'Multiplikation oder Division eines rationalen Ausdrucks in der Form (Ax + B)/C durch eine Variable Dx/E.';
catalog['Multiplying polynomials 1'] = 'Polynome multiplizieren 1';
catalog['Multiplying polynomials 2'] = 'Polynome multiplizieren 2';
catalog['Multiplying polynomials 3'] = 'Polynome multiplizieren 3';
catalog['Multiplying polynomials'] = 'Polynome multiplizieren';
catalog['Multiplying positive and negative numbers'] = 'Multiplikation von positiven und negativen Zahlen';
catalog['Multiplying positive fractions with simplification'] = 'Auf einfache Art positive Br\u00fcche multiplizieren';
catalog['Multiplying variable expressions given their sums.'] = 'Multiplizieren von variablen Termen bei gegebenen Summen.';
catalog['Multiplying whole numbers and fractions'] = 'Ganze Zahlen und Br\u00fcche multiplizieren';
catalog['Multistep word problems'] = 'komplexe Textaufgaben';
catalog['Multivariable calculus'] = 'Analysis in mehreren Variablen';
catalog['Munch, The Storm'] = 'Munch, The Storm';
catalog['Muscle innervation'] = 'Muscle innervation';
catalog['Muscles'] = 'Muscles';
catalog['Muscular system - Passage 1'] = 'Muscular system - Passage 1';
catalog['Muscular system - Passage 2'] = 'Muscular system - Passage 2';
catalog['Muscular system'] = 'Muskulatur';
catalog['Music box, backwards Bach, orbifolds and wooden bowl.'] = 'Music box, backwards Bach, orbifolds and wooden bowl.';
catalog['Music meets art - Everything Everything inspired by Francis Bacon'] = 'Music meets art - Everything Everything inspired by Francis Bacon';
catalog['Mussolini aligns with Hitler'] = 'Mussolini aligns with Hitler';
catalog['Mussolini becomes Prime Minister'] = 'Mussolini becomes Prime Minister';
catalog['Mussolini becomes absolute dictator (Il Duce)'] = 'Mussolini becomes absolute dictator (Il Duce)';
catalog['Must be logged in to download with zone information.'] = 'Must be logged in to download with zone information.';
catalog['Must specify a topic path'] = 'Must specify a topic path';
catalog['Must specify process_id or process_name'] = 'Must specify process_id or process_name';
catalog['Must specify zone information.'] = 'Must specify zone information.';
catalog['Mutual fund basic'] = 'Grundlagen zu Investmentfonds';
catalog['Mutual funds and ETFs'] = 'Investmentfonds und Indexfonds';
catalog['Mutual funds'] = 'Investmentfonds';
catalog['My Benefits'] = 'My Benefits';
catalog['My Organization'] = 'My Organization';
catalog['My family loves milk'] = 'Meine Familie liebt Milch';
catalog['My recipe calls for a cup and a half of blueberries and serves 10 people.  But I have 23 people coming over.  How many cups of blueberries do I need?\n\nYou know that mixed numbers and improper fractions are two sides of the same coin (and you can convert between the two).  In this tutorial we\'ll learn to multiply and divide mixed numbers (mainly by converting them into improper fractions first).'] = 'Mein Rezept erfordert 1,5 Tassen Heidelbeeren und ist f\u00fcr 10 Personen.  Aber es kommen 23 Leute.  Wie viele Tassen Heidelbeeren brauche ich? \n\nWie Sie wissen, sind die gemischten Zahlen und unechte Br\u00fcche zwei Seiten derselben Medaille (und Sie k\u00f6nnen zwischen beiden umrechnen).  In diesem Tutorial lernen wir die Multiplikation und Division-gemischter Zahlen (vor allem durch Konvertierung in unechte  Br\u00fcche).';
catalog['My share of soap as a mixed number on a number line'] = 'Meinen Anteil an Seife als gemischte Zahl in einem Zahlenstrahl';
catalog['Myosin and actin'] = 'Myosin und Aktin';
catalog['Myron, Discobolus (Discus Thrower), Roman copy of an ancient Greek bronze from c. 450  B.C.E., Classical Period  (Palazzo Massimo alle Terme). \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Myron, Discobolus (Discus Thrower), Roman copy of an ancient Greek bronze from c. 450  B.C.E., Classical Period  (Palazzo Massimo alle Terme). \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['NASA'] = 'NASA';
catalog['NASA\'s vision is to reach for new heights and reveal the unknown so that what we do and learn will benefit all humankind.\n\nThis section contains a series of tutorials on astronomy and space exploration developed in collaboration with NASA'] = 'NASA\'s vision is to reach for new heights and reveal the unknown so that what we do and learn will benefit all humankind.\n\nThis section contains a series of tutorials on astronomy and space exploration developed in collaboration with NASA';
catalog['NCSU Answers'] = 'Antworten der North Carolina State University';
catalog['Name'] = 'Name';
catalog['Named after Helge von Koch, the Koch snowflake is one of the first fractals to be discovered. It is created by adding smaller and smaller equilateral bumps to an existing equilateral triangle.  Quite amazingly, it produces a figure of infinite perimeter and finite area!'] = 'Die kochsche Schneeflocke, benannt nach Helge von Koch, war eines der ersten Fraktal, die entdeckt wurden. Sie wird konstruiert, indem man immer kleinere und kleinere gleichschenklige Huckel zu einem gleichschenkligen Dreieck hinzuf\u00fcgt. Erstaunlicherweise erschafft dieser Prozess eine Figur mit unendlichem Umfang aber endlichem Fl\u00e4cheninhalt!';
catalog['Named after Heron of Alexandria, Heron\'s formula is a power (but often overlooked) method for finding the area of ANY triangle.  In this tutorial we will explain how to use it and then prove it!'] = 'Herons Formel, benannt nach Heron von Alexandria, ist eine m\u00e4chtige (wenn auch h\u00e4ufig \u00fcbersehene) Methode, um den F\u00e4cheninhalt JEDES Dreiecks herauszufinden. In diesem Tutorial erkl\u00e4ren wir dir wie du sie benutzen und beweisen kannst!';
catalog['Named after the Greek philosopher who lived nearly 2600 years ago, the Pythagorean theorem is as good as math theorems get (Pythagoras also started a religious movement).  It\'s simple.  It\'s beautiful.  It\'s powerful.\n\nCommon Core Standards: 8.G.B.7, 8.G.B.8'] = 'Der Satz des Pythagoras, der nach dem griechischen Philosophen benannt wurde, der vor fast 2600 Jahren lebte, ist so gut wie mathematische S\u00e4tze nur sein k\u00f6nnen (Pythagoras begann auch eine religi\u00f6se Bewegung).  Er ist sch\u00f6n.  Er ist m\u00e4chtig.\n\nCommon Core Standards: 8.G.B.7, 8.G.B.8';
catalog['Named after the Greek philosopher who lived nearly 2600 years ago, the Pythagorean theorem is as good as math theorems get (Pythagoras also started a religious movement).  It\'s simple.  It\'s beautiful.  It\'s powerful.\n\nIn this tutorial, we will cover what it is and how it can be used.  We have another tutorial that gives you as many proofs of it as you might need.'] = 'Benannt nach dem griechischen Philosophen, der vor fast 2600 Jahren lebte, ist der Satz des Pythagoras ein Musterbeispiel eines mathematischen Theorems (Pythagoras hat \u00fcbrigens auch eine religi\u00f6se Bewegung gestartet). Es ist einfach, es ist sch\u00f6n, es ist m\u00e4chtig.\n\nIn diesem Tutorial besprechen wir, was der Satz besagt und wie er benutzt werden kann. Es gibt noch ein anderes Tutorial, dass dir so viele Beweise daf\u00fcr gibt wie du nur brauchen k\u00f6nntest.\n\n.';
catalog['Naming Alkanes with Alkyl Groups'] = 'Naming Alkanes with Alkyl Groups';
catalog['Naming Alkenes Examples'] = 'Naming Alkenes Examples';
catalog['Naming Alkyl Halides'] = 'Naming Alkyl Halides';
catalog['Naming Benzene Derivatives Introduction'] = 'Naming Benzene Derivatives Introduction';
catalog['Naming Simple Alkanes'] = 'Naming Simple Alkanes';
catalog['Naming a cycloalkane'] = 'Naming a cycloalkane';
catalog['Naming alcohols'] = 'Benennung von Alkoholen';
catalog['Naming alkanes with alkyl groups'] = 'Naming alkanes with alkyl groups';
catalog['Naming alkanes with ethyl groups'] = 'Naming alkanes with ethyl groups';
catalog['Naming alkanes'] = 'Alkane benennen';
catalog['Naming alkanes, cycloalkanes, and bicyclic compounds'] = 'Nomenklatur von Alkanen, Cycloalkanen und bizyklischen Verbindungen';
catalog['Naming alkenes examples'] = 'Naming alkenes examples';
catalog['Naming alkenes'] = 'Benennung der Alkene';
catalog['Naming alkyl halides'] = 'Naming alkyl halides';
catalog['Naming amines'] = 'Benennung von Amine';
catalog['Naming and preparing alkynes'] = 'Benennung und Herstellung der Alkine';
catalog['Naming angles'] = 'Winkel benennen';
catalog['Naming benzene derivatives introduction'] = 'Naming benzene derivatives introduction';
catalog['Naming benzene derivatives'] = 'Benennung von Benzol Derivate';
catalog['Naming carboxylic acids and analyzing their physical properties. By Jay.'] = 'Naming carboxylic acids and analyzing their physical properties. By Jay.';
catalog['Naming carboxylic acids'] = 'Benennung von Carbons\u00e4uren';
catalog['Naming cubane'] = 'Naming cubane';
catalog['Naming shapes'] = 'Formen benennen';
catalog['Naming simple alkanes'] = 'Naming simple alkanes';
catalog['Naming the flu: H-something, N-something'] = 'Naming the flu: H-something, N-something';
catalog['Naming the whole'] = 'Benennung des Gesamten';
catalog['Naming two isobutlyl groups systematically'] = 'Naming two isobutlyl groups systematically';
catalog['Nanni Di Banco,<em>&nbsp;</em><em>Four Crowned Saints</em>, Or San Michele, Florence, Italy, c. 1410-16, marble, figures 6&#39; high'] = 'Nanni Di Banco,<em>&nbsp;</em><em>Four Crowned Saints</em>, Or San Michele, Florence, Italy, c. 1410-16, marble, figures 6&#39; high';
catalog['Nanni di Banco, Four Crowned Saints, 1410-16'] = 'Nanni di Banco, Four Crowned Saints, 1410-16';
catalog['Napoleon Bonaparte'] = 'Napoleon Bonaparte';
catalog['Napoleon and the War of the Fourth Coalition'] = 'Napoleon und der Krieg der vierten Koalition';
catalog['Napoleon and the War of the Third Coalition'] = 'Napoleon and the War of the Third Coalition';
catalog['Napoleon and the Wars of the First and Second Coalitions'] = 'Napoleon and the Wars of the First and Second Coalitions';
catalog['Napoleon forced to abdicate'] = 'Napoleon forced to abdicate';
catalog['Napoleon leads France to become the dominant power in Europe.  Napoleon I becomes Emperor of France.'] = 'Napoleon leads France to become the dominant power in Europe.  Napoleon I becomes Emperor of France.';
catalog['Napoleon takes on Prussia and Russia and wins again'] = 'Napoleon takes on Prussia and Russia and wins again';
catalog['Napoleon\'s Peninsular Campaigns'] = 'Napoleon\'s Peninsular Campaigns';
catalog['Napoleon\'s disastrous invasion of Russia'] = 'Napoleons katastrophaler Einmarsch in Russland';
catalog['Napoleon\'s escapes from Elba and retakes control only to be defeated at Waterloo'] = 'Napoleon\'s escapes from Elba and retakes control only to be defeated at Waterloo';
catalog['Nash equilibrium'] = 'Nash-Gleichgewicht';
catalog['Nationalism, Imperialism & Globalization'] = 'Nationalismus, Imperialismus & Globalisierung';
catalog['Nationalism, Imperialism & Globalization: the good, the bad and the really, really ugly'] = 'Nationalismus, Imperialismus & Globalisierung: das Gute, das B\u00f6se und das wirklich, wirklich H\u00e4ssliche';
catalog['Natural Logarithm with a Calculator'] = 'Nat\u00fcrlicher Logarithmus mit einem Taschenrechner';
catalog['Natural Science'] = 'Natural Science';
catalog['Natural logarithm with a calculator'] = 'Nat\u00fcrlicher Logarithmus mit einem Taschenrechner';
catalog['Natural logarithms'] = 'Nat\u00fcrliche Logarithmen';
catalog['Natural selection and the owl butterfly'] = 'Nat\u00fcrliche Selektion und der Bananenfalter';
catalog['Naval blockades in World War I to starve enemy nation of trade.\n\nContrary to what many think, American entry into WWI was not due purely to the sinking of the Lusitania.  Learn more about what caused the United States to play its first major direct role in a European conflict.'] = 'Naval blockades in World War I to starve enemy nation of trade.\n\nContrary to what many think, American entry into WWI was not due purely to the sinking of the Lusitania.  Learn more about what caused the United States to play its first major direct role in a European conflict.';
catalog['Navigating the periodic table'] = 'Navigating the periodic table';
catalog['Nazi aggression and appeasement'] = 'Nazi aggression and appeasement';
catalog['Need help?'] = 'Brauchst Du Hilfe?';
catalog['Negative and Positive Exponents'] = 'Negative und positive Exponenten';
catalog['Negative and fractional  exponents'] = 'Br\u00fcche und negative Zahlen als Exponent';
catalog['Negative and fractional exponents'] = 'Br\u00fcche und negative Zahlen als Exponent';
catalog['Negative and positive exponents'] = 'Negative und positive Exponenten';
catalog['Negative bases and exponents classification example'] = 'Klassifizierung von negativen Basen und Exponenten';
catalog['Negative exponent intuition'] = 'Negative Exponenten Intuition';
catalog['Negative exponents'] = 'Negative Exponenten';
catalog['Negative externalities'] = 'Negative externalities';
catalog['Negative fractional exponent examples 2'] = 'Negative gebrochene Exponenten Beispiele 2';
catalog['Negative fractional exponent examples'] = 'Negative gebrochene Exponenten Beispiele';
catalog['Negative number basics'] = 'Grundlagen \u00fcber negative Zahlen';
catalog['Negative number word problems 1'] = 'Textaufgaben zu negativen Zahlen 1';
catalog['Negative number word problems'] = 'Textaufgaben mit negativen Zahlen (Ganze Zahlen)';
catalog['Negative numbers and absolute value'] = 'Negative Zahlen und der Absolutwert';
catalog['Negative numbers introduction'] = 'Einf\u00fchrung negativer Zahlen';
catalog['Negative numbers on the number line'] = ' Negative Zahlen auf dem Zahlenstrahl';
catalog['Negative numbers'] = 'Negative Zahlen';
catalog['Negoro ware ewer, Negoro workshop, Muromachi period (1392-1573) to\nMomoyama period (1573-1615) second half of 16th century, lacquered wood, Wakayama prefecture, Japan (Portland Art Museum)'] = 'Negoro ware ewer, Negoro workshop, Muromachi period (1392-1573) to\nMomoyama period (1573-1615) second half of 16th century, lacquered wood, Wakayama prefecture, Japan (Portland Art Museum)';
catalog['Neo-Babylonian art: Ishtar gate and Processional Way'] = 'Neo-Babylonian art: Ishtar gate and Processional Way';
catalog['Neo-Classicism'] = 'Neo-Classicism';
catalog['Neoclassicism'] = 'Neoclassicism';
catalog['Nerve Regulation of the Heart'] = 'Nerve Regulation of the Heart';
catalog['Nerve regulation of the heart'] = 'Nerve regulation of the heart';
catalog['Nets of 3D figures'] = 'Netze von 3D Figuren';
catalog['Nets of polyhedra'] = 'Netze von Polyedern';
catalog['Network management'] = 'Network management';
catalog['Neural calls'] = 'Neural calls';
catalog['Neural cells - Passage 1'] = 'Neural cells - Passage 1';
catalog['Neural cells - Passage 2'] = 'Neural cells - Passage 2';
catalog['Neural cells'] = 'Neural cells';
catalog['Neural synapses - Passage 1'] = 'Neural synapses - Passage 1';
catalog['Neural synapses - Passage 2'] = 'Neural synapses - Passage 2';
catalog['Neuromuscular junction, motor end-plate'] = 'Neuromuscular junction, motor end-plate';
catalog['Neuron action potential description'] = 'Neuron action potential description';
catalog['Neuron action potential mechanism'] = 'Neuron action potential mechanism';
catalog['Neuron graded potential description'] = 'Neuron graded potential description';
catalog['Neuron graded potential mechanism'] = 'Neuron graded potential mechanism';
catalog['Neuron membrane potentials - Passage 1'] = 'Neuron membrane potentials - Passage 1';
catalog['Neuron membrane potentials - Passage 2'] = 'Neuron membrane potentials - Passage 2';
catalog['Neuron membrane potentials'] = 'Neuron membrane potentials';
catalog['Neuron resting potential description'] = 'Neuron resting potential description';
catalog['Neuron resting potential mechanism'] = 'Neuron resting potential mechanism';
catalog['Neuronal synapses (chemical)'] = 'Neuronale Synapse (chemische Synapse)';
catalog['Neuronal synapses'] = 'Neuronal synapses';
catalog['Neurons are the primary way that our bodies transmit signals from one part to another quickly.  In this tutorial, we\'ll explore the anatomy of a neuron and the mechanism by which a signal is actually transmitted through one.'] = 'Neurons are the primary way that our bodies transmit signals from one part to another quickly.  In this tutorial, we\'ll explore the anatomy of a neuron and the mechanism by which a signal is actually transmitted through one.';
catalog['Neuroplasticity'] = 'Neuroplasticity';
catalog['Neurotransmitter release'] = 'Neurotransmitter release';
catalog['Neurotransmitter removal'] = 'Neurotransmitter removal';
catalog['Neutralize a compass'] = 'Neutralize a compass';
catalog['Never'] = 'Never';
catalog['New Features'] = 'New Features';
catalog['New HS exercises'] = 'New HS exercises';
catalog['New Kingdom: Akhenaten, Nefertiti, and Three Daughters'] = 'New Kingdom: Akhenaten, Nefertiti, and Three Daughters';
catalog['New Kingdom: Last Judgement of Hu-Nefer, from his tomb'] = 'New Kingdom: Last Judgement of Hu-Nefer, from his tomb';
catalog['New Kingdom: Ramesses II'] = 'New Kingdom: Ramesses II';
catalog['New Kingdom: Thutmose\'s bust of Nefertiti'] = 'New Kingdom: Thutmose\'s bust of Nefertiti';
catalog['New Topic'] = 'Neues Thema';
catalog['New discoveries have expanded on or even contradicted the original Central dogma of molecular biology as proposed by Watson and Crick. These discoveries include multiple alternate pathways of the molecules as well as different types of RNA that you&#39;ll need to know. By Tracy Kovach.'] = 'New discoveries have expanded on or even contradicted the original Central dogma of molecular biology as proposed by Watson and Crick. These discoveries include multiple alternate pathways of the molecules as well as different types of RNA that you&#39;ll need to know. By Tracy Kovach.';
catalog['New elements enabled new possibilities, creating conditions around stars that were just right for making planets.<br>'] = 'New elements enabled new possibilities, creating conditions around stars that were just right for making planets.<br>';
catalog['New operator definitions 1'] = 'Neue Definitionen f\u00fcr Operanden 1';
catalog['New operator definitions 2'] = 'Neue Definitionen f\u00fcr Operanden 2';
catalog['New operator definitions'] = 'Neue Definitionen f\u00fcr Operanden';
catalog['New password'] = 'Neues Passwort';
catalog['New password:'] = 'Neues Passwort:';
catalog['New perspective on the heart'] = 'New perspective on the heart';
catalog['New to art? If so, this is a good place to start. We often think we should understand what we see and that we know what we like, but art can be challenging. It has meant different things at different moments in history. Art gives us access to the way other people have seen the world. Jump in and explore!'] = 'Noch kein Kunstexperte? Dann ist das hier ein guter Platz f\u00fcr den Anfang. Wir denken oft, wir sollten verstehen was wir sehen, und dass wir wissen, was wir m\u00f6gen, aber Kunst kann eine Herausforderung sein. Zu verschiedenen Zeitpunkten in der Geschichte hatte die Kunst verschiedene Bedeutungen. Die Kunst zeigt uns, wie andere die Welt sehen. Spring rein und schau dich um!';
catalog['New trade networks caused an explosion in the trade of goods, but also of ideas, technologies, and diseases.<br>'] = 'New trade networks caused an explosion in the trade of goods, but also of ideas, technologies, and diseases.<br>';
catalog['New ways to group students and organize staff'] = 'New ways to group students and organize staff';
catalog['New ways to structure the school day and year in blended-learning settings'] = 'New ways to structure the school day and year in blended-learning settings';
catalog['Newman Projections 2'] = 'Newman-Projektionen 2';
catalog['Newman Projections'] = 'Newman Projektionen';
catalog['Newman projections 2'] = 'Newman-Projektionen 2';
catalog['Newman projections'] = 'Newman Projektionen';
catalog['Newman\'s Onement I, 1948'] = 'Newman\'s Onement I, 1948';
catalog['Newton, Leibniz, and Usain Bolt'] = 'Newton, Leibniz und Usain Bolt';
catalog['Newton\'s First Law (Galileo\'s Law of Inertia).'] = 'Newton\'s First Law (Galileo\'s Law of Inertia).';
catalog['Newton\'s Prism Experiment'] = 'Newton\'s Prism Experiment';
catalog['Newton\'s Second Law of Motion:  F=ma'] = 'Newton\'s Second Law of Motion:  F=ma';
catalog['Newton\'s first law of motion concepts'] = 'Newton\'s first law of motion concepts';
catalog['Newton\'s first law of motion'] = 'Newtons erstes Gesetz der Bewegung';
catalog['Newton\'s first law'] = 'Newton\'s first law';
catalog['Newton\'s law of gravitation'] = 'Das newtonsche Gravitationsgesetz';
catalog['Newton\'s laws and equilibrium - Passage 1'] = 'Newton\'s laws and equilibrium - Passage 1';
catalog['Newton\'s laws and equilibrium - Passage 2'] = 'Newton\'s laws and equilibrium - Passage 2';
catalog['Newton\'s laws and equilibrium'] = 'Newton\'s laws and equilibrium';
catalog['Newton\'s laws of motion'] = 'Newton\'s laws of motion';
catalog['Newton\'s second law of motion'] = 'Newton\'s second law of motion';
catalog['Newton\'s third law of motion'] = 'Newton\'s third law of motion';
catalog['Nicholas Toth explains the tools, methods, and focus of an archaeologist.<br>'] = 'Nicholas Toth explains the tools, methods, and focus of an archaeologist.<br>';
catalog['Nicholas Toth shows how early humans made stone tools that were simple but effective.<br>'] = 'Nicholas Toth shows how early humans made stone tools that were simple but effective.<br>';
catalog['Nicola Pisano, Pulpit, Pisa Baptistery, 1260\nGiovanni Pisano, Slaughter of the Innocents, Marble, 1301, Pulpit, Sant\'Andrea church, Pistoia\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris'] = 'Nicola Pisano, Pulpit, Pisa Baptistery, 1260\nGiovanni Pisano, Slaughter of the Innocents, Marble, 1301, Pulpit, Sant\'Andrea church, Pistoia\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris';
catalog['Nicola, Pulpit, Pisa Baptistery; and Giovanni Pisano, Slaughter of the Innocents, Pulpit, Sant\'Andrea church, Pistoia'] = 'Nicola, Pulpit, Pisa Baptistery; and Giovanni Pisano, Slaughter of the Innocents, Pulpit, Sant\'Andrea church, Pistoia';
catalog['Nicolas Poussin, Et in Arcadia Ego, 1637-38'] = 'Nicolas Poussin, Et in Arcadia Ego, 1637-38';
catalog['Nicolas Poussin, Landscape with Saint John on Patmos, 1640, oil on canvas, 100.3 x 136.4 cm / 39-1/2 x 53-5/8 inches (Art Institute of Chicago)'] = 'Nicolas Poussin, Landscape with Saint John on Patmos, 1640, oil on canvas, 100.3 x 136.4 cm / 39-1/2 x 53-5/8 inches (Art Institute of Chicago)';
catalog['Night of the Long Knives'] = 'Night of the Long Knives';
catalog['Nightline: Learn Everything, Online'] = 'Nightline: Lern\' alles, Online';
catalog['Nike (Winged Victory) of Samothrace, Lartos marble (ship) and Parian marble (figure), c. 190 B.C.E. 3.28m high, Hellenistic Period (Mus&eacute;e du Louvre, Paris). The sculpture was unearthed in 1863 after its discovery under the direction of Charles Champoiseau\u200b, the French Vice-Consul to Turkey. Please note that the theoretical reconstruction of the Nike as a trumpeter mentioned in the video has been largely abandoned; the monument is now thought to have been part of a fountain possibly commemorating a naval victory. Speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Nike (Winged Victory) of Samothrace, Lartos marble (ship) and Parian marble (figure), c. 190 B.C.E. 3.28m high, Hellenistic Period (Mus&eacute;e du Louvre, Paris). The sculpture was unearthed in 1863 after its discovery under the direction of Charles Champoiseau\u200b, the French Vice-Consul to Turkey. Please note that the theoretical reconstruction of the Nike as a trumpeter mentioned in the video has been largely abandoned; the monument is now thought to have been part of a fountain possibly commemorating a naval victory. Speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Nineteenth-century art: an introduction'] = 'Nineteenth-century art: an introduction';
catalog['Nitration of Benzene to form Nitrobenzene'] = 'Nitration of Benzene to form Nitrobenzene';
catalog['Nitration'] = 'Nitration';
catalog['Nitrogen and phosphorus cycles: Always recycle!'] = 'Stickstoff- und Phosphorkreislauf: immer recyclen!';
catalog['No Groups at this Facility'] = 'No Groups at this Facility';
catalog['No all equations in one variable have exactly one solution.  Some have no solutions and some are true for any value of the unknown.  In this tutorial, we\'ll learn to tell the difference (and understand why this is).\n\nCommon Core Standard: 8.EE.C.7a'] = 'Nicht alle Gleichungen mit einer Variablen haben genau eine L\u00f6sung.  Einige haben keine L\u00f6sungen und einige sind f\u00fcr jeden Wert der Unbekannten wahr.  In diesem Tutorial lernen wir den Unterschied zu erkennen (und verstehen, warum).\n\n Common Core Standard : 8.EE.C.7a';
catalog['No data for this user.'] = 'No data for this user.';
catalog['No language packs installed.'] = 'Keine Sprachpakete installiert.';
catalog['No one is born knowing math.'] = 'Niemand ist mit Mathewissen zur Welt gekommen.';
catalog['No organ quite symbolizes love like the heart.  One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute!  It has to do this all day, everyday, without ever taking a vacation!  Now that is true love.  Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound \u201cLub Dub\u201d.'] = 'Kein Organ steht f\u00fcr die Liebe wie das Herz. Ein Grund daf\u00fcr k\u00f6nnte sein, dass es dir hilft zu leben indem es jede Minute etwa 5 Liter Blut durch fast 100000 Kilometer Blutgef\u00e4\u00dfe pumpt! Das muss es den ganzen Tag machen, ohne jemals Urlaub zu haben! Das ist wahre Liebe. Lerne wie das Herz funktioniert, wie Blut durch das Herz fliesst, wohin das Blut gelangt wenn es das Herz verlassen hat und was dein Herz macht, wenn es ein "Lub Dub" Ger\u00e4usch macht.';
catalog['No report types available.'] = 'No report types available.';
catalog['No student accounts have been created.'] = 'No student accounts have been created.';
catalog['No student accounts in this group have been created.'] = 'No student accounts in this group have been created.';
catalog['No users.  Please select another group above.'] = 'No users.  Please select another group above.';
catalog['No, not the color and not the wine! In the 15th century, the duchy of Burgundy was one of the most powerful regions in Europe, and stretched from what is today central France up to what is today Belgium and Holland. The home of the Dukes of Burgundy was Dijon, and Duke Philip the Bold commissioned some of the century\'s greatest works there, including a Carthusian monastery just outside the city walls, where he hoped to be buried so the monks could pray for his soul for eternity. He hired some of the most brilliant artists in Europe to work for him there, including Claus Sluter. Very little of the monastery survives today, but thankfully Sluter\u2019s great work, The Well of Moses, can still be seen there.'] = 'No, not the color and not the wine! In the 15th century, the duchy of Burgundy was one of the most powerful regions in Europe, and stretched from what is today central France up to what is today Belgium and Holland. The home of the Dukes of Burgundy was Dijon, and Duke Philip the Bold commissioned some of the century\'s greatest works there, including a Carthusian monastery just outside the city walls, where he hoped to be buried so the monks could pray for his soul for eternity. He hired some of the most brilliant artists in Europe to work for him there, including Claus Sluter. Very little of the monastery survives today, but thankfully Sluter\u2019s great work, The Well of Moses, can still be seen there.';
catalog['No, we aren\'t talking about the board game although the game does try to approximate what this tutorial is about--notice that you can charge more rent at either Boardwalk or Park Place if you own both (you have a "monopoly" in the navy blue market).\n\nThe opposite of perfect competition is when you have only one firm operating.  This tutorial explores what this firm would do to maximize economic profit.'] = 'No, we aren\'t talking about the board game although the game does try to approximate what this tutorial is about--notice that you can charge more rent at either Boardwalk or Park Place if you own both (you have a "monopoly" in the navy blue market).\n\nThe opposite of perfect competition is when you have only one firm operating.  This tutorial explores what this firm would do to maximize economic profit.';
catalog['No, we\u2019re not talking about the dark subculture we know as Goth! We\u2019re talking about the style of art and architecture In Europe from the 1100s to the beginnings of the Renaissance at about 1400. Hopefully by the end of this tutorial when someone says Gothic, you\u2019ll think of enormous stained-glass windows in churches whose vaulted ceilings reach toward heaven and not black clothing and dark eyeliner!'] = 'No, we\u2019re not talking about the dark subculture we know as Goth! We\u2019re talking about the style of art and architecture In Europe from the 1100s to the beginnings of the Renaissance at about 1400. Hopefully by the end of this tutorial when someone says Gothic, you\u2019ll think of enormous stained-glass windows in churches whose vaulted ceilings reach toward heaven and not black clothing and dark eyeliner!';
catalog['Nomenclature and preparation of epoxides'] = 'Nomenklatur und Herstellung von Epoxiden';
catalog['Nomenclature and properties of acyl (acid) halides and acid anhydrides'] = 'Nomenclature and properties of acyl (acid) halides and acid anhydrides';
catalog['Nomenclature and properties of amides'] = 'Nomenclature and properties of amides';
catalog['Nomenclature and properties of esters'] = 'Nomenclature and properties of esters';
catalog['Nomenclature and properties of ethers'] = 'Nomenklatur und Eigenschaften der Ether';
catalog['Nomenclature of aldehydes and ketones'] = 'Nomenklatur der Aldehyde und Ketone';
catalog['Non-Linear Systems of Equations 1'] = 'Nichtlineare Gleichungssysteme 1';
catalog['Non-Linear Systems of Equations 2'] = 'Nichtlineare Gleichungssysteme 2';
catalog['Non-Linear Systems of Equations 3'] = 'Nicht-lineare Gleichungssysteme 3';
catalog['Non-coding RNA (ncRNA)'] = 'Non-coding RNA (ncRNA)';
catalog['Non-enzymatic protein function'] = 'Non-enzymatic protein function';
catalog['Non-linear systems of equations 1'] = 'Nichtlineare Gleichungssysteme 1';
catalog['Non-linear systems of equations 2'] = 'Nichtlineare Gleichungssysteme 2';
catalog['Non-linear systems of equations 3'] = 'Nicht-lineare Gleichungssysteme 3';
catalog['Non-linear systems of equations'] = 'Nicht-lineare Gleichungssysteme';
catalog['Non-right triangle proofs'] = 'Non-right triangle proofs';
catalog['None'] = 'None';
catalog['Normal and Inverted Futures Curves'] = 'Normal and Inverted Futures Curves';
catalog['Normal and elevated blood sugar levels before (preprandial) and after (postprandial) a meal'] = 'Normal and elevated blood sugar levels before (preprandial) and after (postprandial) a meal';
catalog['Normal and inferior goods'] = 'Normal and inferior goods';
catalog['Normal colon tissue'] = 'Normal colon tissue';
catalog['Normal distribution excel exercise'] = 'Normalverteilung Excel \u00dcbung';
catalog['Normal distribution'] = 'Normalverteilung';
catalog['Normal force and contact force'] = 'Normal force and contact force';
catalog['Normal force in an elevator'] = 'Normal force in an elevator';
catalog['Normal force'] = 'Normal force';
catalog['Normal forces - Passage 1'] = 'Normal forces - Passage 1';
catalog['Normal forces - Passage 2'] = 'Normal forces - Passage 2';
catalog['Normal forces on Lubricon VI'] = 'Normal forces on Lubricon VI';
catalog['Normal forces'] = 'Normal forces';
catalog['Normal vector from plane equation'] = 'Normalenvektor der Ebenengleichung';
catalog['Normative and non-normative behavior - Passage 1'] = 'Normative and non-normative behavior - Passage 1';
catalog['Normative and non-normative behavior - Passage 2'] = 'Normative and non-normative behavior - Passage 2';
catalog['Normative and non-normative behavior'] = 'Normative and non-normative behavior';
catalog['Northern Renaissance in the 16th Century'] = 'Northern Renaissance in the 16th Century';
catalog['Northern Renaissance'] = 'Northern Renaissance';
catalog['Not Attempted'] = 'Not Attempted';
catalog['Not Viewed'] = 'Not Viewed';
catalog['Not all expressions are created equal, but we can still use some algebra to compare them in interesting ways.  This tutorial will start you on that journey!\n\nCommon Core Standard: 6.EE.B.8'] = 'Nicht alle Ausdr\u00fccke sind gleich, aber wir k\u00f6nnen trotzdem ein bisschen Algebra verwenden, um sie auf interessante Weise zu vergleichen. Dieses Tutorial wird dich auf dieser Reise begleiten! \n\nCommon Core Standard: 6.EE.B.8';
catalog['Not all relationships are functions.  In this tutorial, you\'ll learn which are!'] = 'Nicht alle Beziehungen sind Funktionen.  In diesem Lernprogramm erfahren Sie, welche es sind!';
catalog['Not all things with four sides have to be squares or rectangles!  We will now broaden our understanding of quadrilaterals!'] = 'Nicht alle Figuren mit vier Seiten m\u00fcssen Quadrate oder Rechtecke sein. Du wirst jetzt dein Verst\u00e4ndnis von Vierecken erweitern!';
catalog['Not all things with four sides have to be squares or rectangles! We will now broaden our understanding of quadrilaterals!\n\nCommon Core Standards: 5.G.B.3, 5.G.B.4'] = 'Nicht alle Dinge mit vier Seiten m\u00fcssen Quadrate oder Rechtecke sein! Wir werden jetzt unser Verst\u00e4ndnis von Vierecken erweitern!';
catalog['Not every linear equation has exactly one solution.  Some have no solutions and others might have an infinite number of solutions.  This tutorial will give you the intuition on when these different situations arise.'] = 'Nicht jede lineare Gleichung hat genau eine L\u00f6sung.  Einige haben keine L\u00f6sung und andere m\u00f6glicherweise eine unendliche Anzahl von L\u00f6sungen.  Dieses Tutorial wird Dir das Gesp\u00fcr daf\u00fcr geben, wann solche unterschiedliche Situationen auftreten.';
catalog['Not every relationship in the universe can be represented by a line (in fact, most can\'t be).  We call these "nonlinear".  In this tutorial, you\'ll learn to tell the difference between a linear and nonlinear function!\n\nHave fun!\n\nCommon Core Standare: 8.F.A.3'] = 'Nicht jede Beziehung im Universum kann durch eine Linie dargestellt werden (die meisten eigentlich nicht).  Wir nennen diese "nichtlinear".  In diesem Tutorial lernst du, eine lineare und nichtlineare Funktion zu unterscheiden! \n\nViel Spa\u00df! \n\nCommon Core Standard: 8.F.A.3';
catalog['Not everything (or everyone) should or could be proper all the time.  Same is true for definite integrals.  In this tutorial, we\'ll look at improper integrals--ones where one or both bounds are at infinity!  Mind blowing!'] = 'Nicht alles (oder alle) k\u00f6nnen oder sollen immer echt sein.  Gleiches gilt f\u00fcr bestimmte Integrale.  In diesem Lernprogramm betrachten wir unechte Integrale--diejenigen, wo eine oder beide Begrenzungen bei Unendlich sind!  Erhellend!';
catalog['Not everything in the world is a rectangle, circle or triangle.  In this tutorial, we give you practice at finding the perimeters and areas of these less-than-standard shapes!'] = 'Nicht alles auf der Welt ist rechteckig, kreisf\u00f6rmig oder dreieckig. In diesem Tutorial werden wir \u00fcben, den Umfang und die Fl\u00e4che von diesen ausgefalleneren Formen zu finden!';
catalog['Not everything in the world is equal, and that is true for expressions.  We can still come to some useful conclusions though!\n\nCommon Core Standard: 7.EE.B.4b'] = 'Nicht alles in der Welt ist gleich, und das gilt f\u00fcr Ausdr\u00fccke.  Wir k\u00f6nnen aber noch immer zu einigen n\u00fctzlichen Schlussfolgerungen kommen! \n\nCommon Core Standard: 7.EE.B.4b';
catalog['Not only is factoring quadratic expressions (essentially second-degree polynomials) fun, but it is good for you.  It will allow you to analyze and solve a whole range of equations.  It will allow you to impress people at parties and move up the career ladder.  How exciting!'] = 'Das Faktorisieren quadratischer Ausdr\u00fccke (im wesentlichen von Polynomen zweiten Grades) macht Spa\u00df und ist gut f\u00fcr dich.  Es erlaubt dir, eine ganze Reihe von Gleichungen zu analysieren und zu l\u00f6sen.  Es erlaubt dir, andere auf Partys zu beeindrucken und bringt dich auf der Karriereleiter weiter.  Wie aufregend!';
catalog['Not only is the universe unimaginable large (possibly infinite), but it is also unimaginably old.  If you were feeling small in space, wait until you realize that all of human history is but a tiny blip in the history of the universe.'] = 'Das Universum ist nicht nur unvorstellbar gro\u00df (und m\u00f6glicherweise sogar unendlich), sondern auch unvorstellbar alt.  Wenn du dich im Weltall klein f\u00fchlst, dann warte, bis du erkennst, dass die ganze Geschichte der Menschheit nur ein winziger Ausrutscher in der Geschichte des Universums ist.';
catalog['Not quite a brain teaser but fun nonetheless!'] = 'Nicht wirklich ein R\u00e4tsel, macht aber trotzdem Spa\u00df!';
catalog['Note that if a terminal alkyne is produced, the strong base will deprotonate the alkyne to form an alkynide anion. A proton source (like H2O) must be added to regenerate the terminal alkyne.'] = 'Note that if a terminal alkyne is produced, the strong base will deprotonate the alkyne to form an alkynide anion. A proton source (like H2O) must be added to regenerate the terminal alkyne.';
catalog['Note: New materials are being added regularly. \n\nThe College Board announced that the art history exam and course will change in 2015. Khan Academy is working to include each of 250 works of art covered on the new test. The test also assesses a student\u2019s understanding of the methods used by art historians and familiarity with the cultural context in which a work of art was made and understood. Khan Academy\u2019s art history content is designed to teach these skills and to make the art engaging and accessible (and it\u2019s completely free!). Currently, more than 50% of the 250 monuments listed are included. We are working to cover the remaining content before the 2015/16 course begins. We will be adding quizzes at the end of each section to reinforce what you have learned and so that you can assess your understanding of the material. '] = 'Note: New materials are being added regularly. \n\nThe College Board announced that the art history exam and course will change in 2015. Khan Academy is working to include each of 250 works of art covered on the new test. The test also assesses a student\u2019s understanding of the methods used by art historians and familiarity with the cultural context in which a work of art was made and understood. Khan Academy\u2019s art history content is designed to teach these skills and to make the art engaging and accessible (and it\u2019s completely free!). Currently, more than 50% of the 250 monuments listed are included. We are working to cover the remaining content before the 2015/16 course begins. We will be adding quizzes at the end of each section to reinforce what you have learned and so that you can assess your understanding of the material. ';
catalog['Note: this will reset your streak and points for this exercise!'] = 'Hinweis: dies wird Dein Fortschrittsergebnis und Punktzahl f\u00fcr diese \u00dcbung zur\u00fccksetzen!';
catalog['Nov 1st 2012'] = 'Nov 1st 2012';
catalog['Now both sides aren\'t equal anymore. The good news is, much of the logic you\'ve used to solve equations can also be applied to think about inequalities!'] = 'Jetzt sind nicht mehr beide Seiten gleich. Die gute Nachricht ist, dass man den gr\u00f6\u00dften Teil der Herangehensweise, die du bei Gleichungen verwendet hast, auch auf Ungleichungen anwendbar sind!';
catalog['Now that we are reasonably familiar with what a linear equation is and how we can solve them, let\'s apply these skills to tackling real-world problems.'] = 'Nun, da wir ausreichend vertraut mit linearen Gleichungen sind und diese l\u00f6sen k\u00f6nnen, lasst uns diese F\u00e4higkeiten einsetzen, um Probleme der realen Welt in Angriff zu nehmen.';
catalog['Now that we know what a proportional relationship is, let\'s construct some to solve real problems!\n\nCommon Core Standards: 7.RP.A.2, 7.RP.A.3'] = 'Wir wissen nun, was eine proportionale Beziehung ist, lass uns jetzt einige konstruieren um echte Probleme zu l\u00f6sen! \n\nCommon Core Standards: 7.RP.A. 2, 7.RP.A. 3';
catalog['Now that we know what a random variable is, we can think about expected value.  As we\'ll see, it can be viewed as a probability-weighted average of possible outcomes!'] = 'Now that we know what a random variable is, we can think about expected value.  As we\'ll see, it can be viewed as a probability-weighted average of possible outcomes!';
catalog['Now that we know what angles are, let\'s dig a bit deeper and classify them and understand their properties a bit better.\n\nCommon Core Standards: 4.MD.C.7, 4.G.A.1'] = 'Jetzt, da wir wissen, was Winkel sind, lass uns ein bisschen tiefen gehen und sie klassifizieren und ihre Eigenschaften ein bisschen besser verstehen!\n\nCommon Core Standards: 4.MD.C.7, 4.G.A.1';
catalog['Now that we understand how the magenta shadow is produced, what about the other colors we see?'] = 'Now that we understand how the magenta shadow is produced, what about the other colors we see?';
catalog['Now that we understand what a sequence is, we\'re going to think about what happens to the terms of a sequence at infinity (do they approach 0, a finite value, or +- infinity?).'] = 'Jetzt, wo wir verstehen, was eine Folge ist, werden wir dar\u00fcber nachdenken, was geschieht, wenn die Folge gegen unendlich geht (n\u00e4hert sie sich 0, einem endlichen Wert oder +-unendlich?).';
catalog['Now that we\'re familiar with the idea of an infinite series, we can now think about functions that are defined using infinite series.  In particular, we\'ll begin to look at the power series representation of a function (and the special case of a geometric series).  In later tutorials, we\'ll use calculus to find the power series of more types of functions.'] = 'Now that we\'re familiar with the idea of an infinite series, we can now think about functions that are defined using infinite series.  In particular, we\'ll begin to look at the power series representation of a function (and the special case of a geometric series).  In later tutorials, we\'ll use calculus to find the power series of more types of functions.';
catalog['Now that we\'ve made the equation exact, let\'s solve it!'] = 'Now that we\'ve made the equation exact, let\'s solve it!';
catalog['Now that you are familiar with logarithms and logarithmic functions, let\'s think about how to solve equations involving logarithms.'] = 'Now that you are familiar with logarithms and logarithmic functions, let\'s think about how to solve equations involving logarithms.';
catalog['Now that you have some experience converting between units, let\'s apply that skill in some real-world problems (okay, some of them are a bit concocted, but it\'s all about the learning)!\n\nCommon Core Standard: 5.MD.A.1'] = 'Jetzt, da du etwas Erfahrung mit dem Umrechnen zwischen Einheiten hast, lass uns diese F\u00e4higkeit auf ein paar Aufgaben aus dem wirklichen Leben anwenden (okay, einige sind ein bisschen konstruiert, aber es geht ja ums Lernen)!\n\nCommon Core Standard: 5.MD.A.1';
catalog['Now that you know how to program in JavaScript and make basic drawings and animations, how could you use that knowledge to make games and visualizations?'] = 'Now that you know how to program in JavaScript and make basic drawings and animations, how could you use that knowledge to make games and visualizations?';
catalog['Now that you know how to solve linear, quadratic and exponential equations, we\'ll apply these incredible skills to a wide-range of real-world (and sometimes not-so-real-world) situations.'] = 'Nun, da du weisst, wie du  lineare, quadratische und exponentielle Gleichungen l\u00f6st, werden wir diese unglaublichen F\u00e4higkeiten auf eine Vielzahl von Situationen der realen Welt (und manchmal nicht-so-realen-Welt) anwenden.';
catalog['Now that you understand the basics of programming, learn techniques that will help you be more productive and write more beautiful code.'] = 'Jetzt wo du die Grundlagen des Programmieren verstehst, lerne Techniken, die dir helfen werden produktiver zu sein, und sch\u00f6neren Code zu schreiben.';
catalog['Now we can apply some of our second order linear differential equations skills to nonhomogeneous equations.  Yay!'] = 'Jetzt k\u00f6nnen wir einige unserer zweiten Ordnung lineare Differentialgleichungen F\u00e4higkeiten auf Grundstimmung Gleichungen anwenden.  Yay!';
catalog['Now we\'ll focus on the "supply" part of supply and demand.  Supply curves (as we typically depict them) come out of the idea that producers will make more if they get paid more.'] = 'Now we\'ll focus on the "supply" part of supply and demand.  Supply curves (as we typically depict them) come out of the idea that producers will make more if they get paid more.';
catalog['Nuclei, membranes, ribosomes, eukaryotes and prokaryotes'] = 'Nuclei, membranes, ribosomes, eukaryotes and prokaryotes';
catalog['Nucleophile/electrophile and the schwartz rules'] = 'Nucleophile/electrophile and the schwartz rules';
catalog['Nucleophilic Aromatic Substitution'] = 'Nucleophilic Aromatic Substitution';
catalog['Nucleophilic acyl substitution'] = 'Nucleophilic acyl substitution';
catalog['Nucleophilic aromatic substitution I'] = 'Nukleophile aromatische Substitution I';
catalog['Nucleophilic aromatic substitution II'] = 'Nucleophilic aromatic substitution II';
catalog['Nucleophilic aromatic substitution'] = 'Nucleophilic aromatic substitution';
catalog['Nucleophilicity and basicity'] = 'Nucleophilit\u00e4t und Basizit\u00e4t';
catalog['Nude Woman (Venus of Willendorf), c. 28,000-25,000 B.C.E., Limestone, 4 1/4" high (Naturhistorisches Museum, Vienna)'] = 'Venus von Willendorf, ca. 28.000-25.000 v.Chr., Kalkstein, 10,8 cm hoch (Naturhistorisches Museum, Wien)';
catalog['Nude woman (Venus of Willendorf) quiz'] = 'Nude woman (Venus of Willendorf) quiz';
catalog['Nude woman (Venus of Willendorf)'] = 'Nude woman (Venus of Willendorf)';
catalog['Null space 2: Calculating the null space of a matrix'] = 'Null space 2: Calculating the null space of a matrix';
catalog['Null space 3: Relation to linear independence'] = 'Null space 3: Relation to linear independence';
catalog['Null space and column space basis'] = 'Null space and column space basis';
catalog['Null space and column space'] = 'Null space and column space';
catalog['Number Sets 1'] = 'Zahlenmengen 1';
catalog['Number Sets 2'] = 'Zahlenmengen 2';
catalog['Number Sets 3'] = 'Zahlenmengen 3';
catalog['Number Sets'] = 'Zahlenmengen';
catalog['Number Theory warmups'] = 'Number Theory warmups';
catalog['Number line 1'] = 'Zahlenstrahl 1';
catalog['Number line 3 exercise examples'] = 'Zahlengerade - 3 \u00dcbungsbeispiele';
catalog['Number line 3'] = 'Zahlenstrahl 3';
catalog['Number of solutions to linear equations ex 2'] = 'Anzahl der L\u00f6sungen f\u00fcr lineare Gleichungen ex 2';
catalog['Number of solutions to linear equations ex 3'] = 'Anzahl der L\u00f6sungen f\u00fcr lineare Gleichungen ex 3';
catalog['Number of solutions to linear equations'] = 'Anzahl der L\u00f6sungen f\u00fcr lineare Gleichungen';
catalog['Number of times submitting an answer to an exercise.'] = 'Number of times submitting an answer to an exercise.';
catalog['Number opposites'] = 'Zahlen mit entgegengesetzten Vorzeichen';
catalog['Number patterns'] = 'Zahlenmuster';
catalog['Number properties terminology 1'] = 'Begriffe Rechenregeln 1';
catalog['Number sets 1'] = 'Zahlenmengen 1';
catalog['Number sets 2'] = 'Zahlenmengen 2';
catalog['Number sets 3'] = 'Zahlenmengen 3';
catalog['Number sets'] = 'Zahlenmengen';
catalog['Numbers and operations'] = 'Zahlen und Operationen';
catalog['Numbers to 120'] = 'Zahlen bis 120';
catalog['Numerator and Denominator of a Fraction'] = 'Z\u00e4hler und Nenner einer Bruchzahl';
catalog['Numerator and denominator of a fraction'] = 'Z\u00e4hler und Nenner eines Bruchs';
catalog['Numerous architects (see below), Saint Peter\'s Basilica (Basilica Sancti Petri in Latin)\nbegun 1506 completed 1626, Vatican City.\n\nArchitectural contributors include:\nDonato Bramante who\'s design won Julius II\'s competition\nAntonio da Sangallo, a student of Bramante, designed the Pauline Chapel\nFra Giocondo strengthened the foundation\nRaphael worked with Fra Giocondo, his redesigned building plan was not executed\nMichelangelo designed the dome, crossing, and exterior excluding the nave and facade\nGiacomo della Porta, designed the cupola\nCarlo Maderno, extended Michelangelo\'s plan adding a nave and grand facade\nGian Lorenzo Bernini added the piazza, the Cathedra Petri, and the Baldacchino\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Numerous architects (see below), Saint Peter\'s Basilica (Basilica Sancti Petri in Latin)\nbegun 1506 completed 1626, Vatican City.\n\nArchitectural contributors include:\nDonato Bramante who\'s design won Julius II\'s competition\nAntonio da Sangallo, a student of Bramante, designed the Pauline Chapel\nFra Giocondo strengthened the foundation\nRaphael worked with Fra Giocondo, his redesigned building plan was not executed\nMichelangelo designed the dome, crossing, and exterior excluding the nave and facade\nGiacomo della Porta, designed the cupola\nCarlo Maderno, extended Michelangelo\'s plan adding a nave and grand facade\nGian Lorenzo Bernini added the piazza, the Cathedra Petri, and the Baldacchino\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['O2 and CO2 solubility'] = 'O2 and CO2 solubility';
catalog['O\'Keeffe, The Lawrence Tree, 1929'] = 'O\'Keeffe, The Lawrence Tree, 1929';
catalog['Object Image Height and Distance Relationship'] = 'Object Image Height and Distance Relationship';
catalog['Object Image and Focal Distance Relationship (Proof of Formula)'] = 'Object Image and Focal Distance Relationship (Proof of Formula)';
catalog['Object image and focal distance relationship (proof of formula)'] = 'Object image and focal distance relationship (proof of formula)';
catalog['Object image height and distance relationship'] = 'Object image height and distance relationship';
catalog['Object-Oriented Design'] = 'Object-Oriented Design';
catalog['Objects'] = 'Objekte';
catalog['Observation: when we pull our cell out of the electrolyte it still causes a deflection, which increases when pressure is applied. How could this lead to more efficient batteries?'] = 'Observation: when we pull our cell out of the electrolyte it still causes a deflection, which increases when pressure is applied. How could this lead to more efficient batteries?';
catalog['Observational learning: Bobo doll experiment and social cognitive theory'] = 'Observational learning: Bobo doll experiment and social cognitive theory';
catalog['Occultation vs. transit vs. eclipse'] = 'Occultation vs. transit vs. eclipse';
catalog['Odd and even numbers'] = 'Ungerade und gerade Zahlen';
catalog['Officer on horseback'] = 'Polizist zu Pferd';
catalog['Oh, so that\u2019s where that comes from! (the ancient Greeks, Persians, Indians, Chinese & the trade between them. Oh, and also the Romans)'] = 'Oh, also da kommt das her! (Die antiken Griechen, Perser, Inder,  Chinesen & der Handel zwischen ihnen. Oh, und auch die R\u00f6mer)';
catalog['Oil paint in Venice'] = 'Oil paint in Venice';
catalog['Oil paint'] = 'Oil paint';
catalog['Ok.  You knew triangles where cool, but you never imagined they were this cool!  Well, this tutorial will take things even further.  After perpendicular bisectors, angle bisector and medians, the only other thing (that I can think of) is a line that intersects a vertex and the opposite side (called an altitude).  As we\'ll see, these are just as cool as the rest and, as you may have guessed, intersect at a unique point called the orthocenter (unbelievable!).'] = 'Ok, du wusstest bereits, dass Dreiecke cool sind. Aber du konntest dir sicher nicht vorstellen, dass sie so cool sind! Nun ja, dieses Tutorial wird die Sache sogar noch weiter treiben. Nach Mittelsenkrechten, Winkelhalbierenden und Medianen ist das einzig andere (das mir noch einf\u00e4llt) eine Gerade, die durch eine Ecke und die gegen\u00fcberliegende Seite geht (auch H\u00f6he genannt). Wie du sehen wirst, sind diese mindestens so cool wie die anderen und - wie du bestimmt schon vermutet hast - schneiden sie sich in einem einzigartigen Punkt, dem H\u00f6henschnittpunkt (unglaublich!).';
catalog['Old & Odd: Archaea, Bacteria & Protists'] = 'Alt & Ungerade: Archaeen, Bakterien & Einzeller';
catalog['Old Kingdom: Seated Scribe'] = 'Old Kingdom: Seated Scribe';
catalog['Old least common multiple'] = 'Altes kleinstes gemeinsames Vielfaches';
catalog['Old limits tutorial'] = 'Alte Limus Tutorien';
catalog['Old password'] = 'Altes Passwort';
catalog['Old school equations with Sal'] = 'Altmodische Gleichungen mit Sal';
catalog['Old school probability (very optional)'] = 'Old school probability (very optional)';
catalog['Old school probability'] = 'Old school probability';
catalog['Old school similarity'] = 'alte Videos zu \u00c4hnlihckeit';
catalog['Old video on systems of equations'] = 'Altes Video \u00fcber Gleichungssysteme';
catalog['Old videos on projectile motion'] = 'Old videos on projectile motion';
catalog['Oldenburg, Floor Cake'] = 'Oldenburg, Floor Cake';
catalog['Olfaction - structure and function'] = 'Olfaction - structure and function';
catalog['Olga Rozanova, "A Little Duck\'s Nest... of Bad Words"'] = 'Olga Rozanova, "A Little Duck\'s Nest... of Bad Words"';
catalog['Oligopolies and monopolistic competition'] = 'Oligopolies and monopolistic competition';
catalog['Oligopolies, duopolies, collusion, and cartels'] = 'Oligopolies, duopolies, collusion, and cartels';
catalog['On 19 November, 2013, Tate Britain opened its doors to the newly refurbished building. See how some of Britain\'s top creative minds have made personal connections with works which have inspired them.'] = 'On 19 November, 2013, Tate Britain opened its doors to the newly refurbished building. See how some of Britain\'s top creative minds have made personal connections with works which have inspired them.';
catalog['On Rusinga Island in Kenya&#39;s Lake Victoria, paleontologist Will Harcourt-Smith is leading an effort to recreate the environments inhabited by primitive primates&mdash;apes of the genus Proconsul. Studying the adaptive changes of our ancient ancestors helps scientists trace the origins of adaptability in modern humans.<br />\n<br />\nScience Bulletins is a production of the National Center for Science Literacy, Education, and Technology (NCSLET), part of the Department of Education at the American Museum of Natural History.'] = 'On Rusinga Island in Kenya&#39;s Lake Victoria, paleontologist Will Harcourt-Smith is leading an effort to recreate the environments inhabited by primitive primates&mdash;apes of the genus Proconsul. Studying the adaptive changes of our ancient ancestors helps scientists trace the origins of adaptability in modern humans.<br />\n<br />\nScience Bulletins is a production of the National Center for Science Literacy, Education, and Technology (NCSLET), part of the Department of Education at the American Museum of Natural History.';
catalog['Once the flu virus enters a cell it can turn that cell into a viral factory making many more copies of the flu virus and causes illness.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Once the flu virus enters a cell it can turn that cell into a viral factory making many more copies of the flu virus and causes illness.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Oncogenes'] = 'Oncogenes';
catalog['One Step Equations'] = 'Einstufige Gleichungen';
catalog['One Student of Big History'] = 'One Student of Big History';
catalog['One more exact equation example'] = 'One more exact equation example';
catalog['One more, one less'] = 'Einer mehr, einer weniger';
catalog['One robot hamster rabbit weighs 1.51 kg while another weights 1.49 kg.  Is this a big different or a little one?  Say you want a robot hamster that roughly weighs 1.5kg.  Will either do?\n\nLet\'s get some practice rounding with decimals!\n\nCommon Core Standard: 5.NBT.A.4'] = 'Ein Roboter Hamster Hase wiegt 1,51 kg, w\u00e4hrend andere 1,49 kg wiegt.  Ist dies ein gro\u00dfer  oder einen kleiner Unterschied? Wenn du einen willst der in etwas 1,5 kg wiegt, kannst du dann ohne bedenken einen w\u00e4hlen? \n\nLass uns das Runden von Dezimalzahlen \u00fcben!';
catalog['One step equation intuition exercise intro'] = 'Einstufige Gleichung - Einf\u00fchrung zur intuitiven \u00dcbung';
catalog['One step equation intuition'] = 'Intuitive Ein-Schritt Gleichung';
catalog['One step equations'] = 'Ein-Schritt Gleichungen';
catalog['One step inequalities'] = 'Ein-Schritt Ungleichungen';
catalog['One way to write a Fibonacci function iteratively'] = 'One way to write a Fibonacci function iteratively';
catalog['One-Step Inequalities 2'] = 'Einfache Ungleichungen 2';
catalog['One-Step Inequalities'] = 'Einfache Ungleichungen';
catalog['One-Tailed and Two-Tailed Tests'] = 'Einseitige und zweiseitige Tests';
catalog['One-digit division'] = 'Division einstelliger Zahlen';
catalog['One-dimensional motion'] = 'eindimensionale Bewegung';
catalog['One-sided limits from graphs'] = 'Einseitige Grenzwerte von Graphen';
catalog['One-step equation intuition'] = 'Intuitive einstufige Gleichungen';
catalog['One-step equations with multiplication'] = 'Ein-Schritt Gleichungen mit Multiplikation';
catalog['One-step inequality involving addition'] = 'Ungleichheit in einer Stufe mit Addition';
catalog['One-step inequality with multiplication and division example'] = 'Beispiel: Einfache Ungleichung mit Multiplikation und Division';
catalog['One-tailed and two-tailed tests'] = 'Einseitige und zweiseitige tests';
catalog['Only in the past sixty years has \u201cSoutheast Asia\u201d been used to refer to the region comprising modern-day Burma (Myanmar), Thailand, Laos, Cambodia, Vietnam, Malaysia, Singapore, Indonesia, Brunei, and the Philippines. These ten countries cover an area more than three times that of Great Britain, France, and Germany combined, and they have a population about twice as great.'] = 'Only in the past sixty years has \u201cSoutheast Asia\u201d been used to refer to the region comprising modern-day Burma (Myanmar), Thailand, Laos, Cambodia, Vietnam, Malaysia, Singapore, Indonesia, Brunei, and the Philippines. These ten countries cover an area more than three times that of Great Britain, France, and Germany combined, and they have a population about twice as great.';
catalog['Only questions with their status set to \'Active\' will be displayed. Questions marked as \'Group Header\' are treated as such by views and templates that are set up to use them.'] = 'Only questions with their status set to \'Active\' will be displayed. Questions marked as \'Group Header\' are treated as such by views and templates that are set up to use them.';
catalog['Open Enrollment 2014'] = 'Open Enrollment 2014';
catalog['Open letter to Nickelodeon, re: SpongeBob\'s pineapple under the sea'] = 'Open letter to Nickelodeon, re: SpongeBob\'s pineapple under the sea';
catalog['Open market operations and quantitative easing overview'] = 'Open market operations and quantitative easing overview';
catalog['Open-end mutual fund redemptions'] = 'Open-end mutual fund redemptions';
catalog['Open-ended mutual fund (part 1)'] = 'Open-ended mutual fund (part 1)';
catalog['Open-ended mutual funds'] = 'Open-ended mutual funds';
catalog['Operant conditioning: Escape and avoidance learning'] = 'Operant conditioning: Escape and avoidance learning';
catalog['Operant conditioning: Innate vs learned behaviors'] = 'Operant conditioning: Innate vs learned behaviors';
catalog['Operant conditioning: Positive-and-negative reinforcement and punishment'] = 'Operant conditioning: Positive-and-negative reinforcement and punishment';
catalog['Operant conditioning: Schedules of reinforcement'] = 'Operant conditioning: Schedules of reinforcement';
catalog['Operant conditioning: Shaping'] = 'Operant conditioning: Shaping';
catalog['Operating System'] = 'Betriebssystem';
catalog['Operations with logarithms'] = 'Operationen mit Logarithmen';
catalog['Operations with rational numbers'] = 'Operations with rational numbers';
catalog['Opportunity cost (and marginal cost) based on the PPF'] = 'Opportunity cost (and marginal cost) based on the PPF';
catalog['Opportunity cost'] = 'Opportunity cost';
catalog['Optical activity I: Theory'] = 'Optical activity I: Theory';
catalog['Optical activity II: Calculations'] = 'Optical activity II: Calculations';
catalog['Optical activity'] = 'Optische Aktivit\u00e4t';
catalog['Optimal angle for a projectile part 1'] = 'Optimal angle for a projectile part 1';
catalog['Optimal angle for a projectile part 2 - Hangtime'] = 'Optimal angle for a projectile part 2 - Hangtime';
catalog['Optimal angle for a projectile part 2: Hangtime'] = 'Optimal angle for a projectile part 2: Hangtime';
catalog['Optimal angle for a projectile part 3: Horizontal distance as a function of angle (and speed)'] = 'Optimal angle for a projectile part 3: Horizontal distance as a function of angle (and speed)';
catalog['Optimal angle for a projectile part 4: Finding the optimal angle and distance with a bit of calculus'] = 'Optimal angle for a projectile part 4: Finding the optimal angle and distance with a bit of calculus';
catalog['Optimal angle for a projectile'] = 'Optimal angle for a projectile';
catalog['Optimal point on budget line'] = 'Optimal point on budget line';
catalog['Optimal potatoes'] = 'Optimal potatoes';
catalog['Optimal turns at Indianapolis Motor Speedway with JR Hildebrand'] = 'Optimal turns at Indianapolis Motor Speedway with JR Hildebrand';
catalog['Optimization with calculus'] = 'Optimierung durch Differentialrechnung';
catalog['Optimizing box volume analytically'] = 'Optimizing box volume analytically';
catalog['Optimizing box volume graphically'] = 'Optimizing box volume graphically';
catalog['Optimizing profit at a shoe factory'] = 'Optimierung des Gewinns einer Schuhfabrik';
catalog['Option Expiration and Price'] = 'Option Expiration and Price';
catalog['Option expiration and price'] = 'Option expiration and price';
catalog['Optional calculus proof to show that MR has twice slope of demand'] = 'Optional calculus proof to show that MR has twice slope of demand';
catalog['Options allow investors and speculators to hedge downside (or upside).  It allows them to trade on a belief that prices will change a lot--just not clear about direction.  It allows them to benefit in any market (with leverage) if they speculate correctly.\n\nThis tutorial walks through option basics and even goes into some fairly sophisticated option mechanics.'] = 'Options allow investors and speculators to hedge downside (or upside).  It allows them to trade on a belief that prices will change a lot--just not clear about direction.  It allows them to benefit in any market (with leverage) if they speculate correctly.\n\nThis tutorial walks through option basics and even goes into some fairly sophisticated option mechanics.';
catalog['Options have been bought and sold for ages, but finding a rational way to price them seemed beyond our mathematical know-how... until 1973 when Fischer Black and Myron Scholes showed up and gave us the Black-Scholes model.  This work was later extended by Robert Merton and now underpins much of modern finance.'] = 'Options have been bought and sold for ages, but finding a rational way to price them seemed beyond our mathematical know-how... until 1973 when Fischer Black and Myron Scholes showed up and gave us the Black-Scholes model.  This work was later extended by Robert Merton and now underpins much of modern finance.';
catalog['Options, swaps, futures, MBSs, CDOs and other derivatives'] = 'Optionen, Swaps, Futures, MBS, CDO und andere Derivate';
catalog['Options, swaps, futures, MBSs, CDOs, and other derivatives'] = 'Options, swaps, futures, MBSs, CDOs, and other derivatives';
catalog['Or is it fixed at birth?'] = 'Oder ist sie bei Geburt festgelegt?';
catalog['Orazio Gentileschi\'s paintings of women and divine love'] = 'Orazio Gentileschi\'s paintings of women and divine love';
catalog['Orbital mechanics 1'] = 'Orbital mechanics 1';
catalog['Orbitals and Electrons'] = 'Orbitale und Elektronen';
catalog['Orbitals and electrons'] = 'Orbitale und Elektronen';
catalog['Orbitals'] = 'Orbitale';
catalog['Order by length'] = 'Order by length';
catalog['Order doesn\'t matter when purely multiplying'] = 'Die Reihenfolge spielt keine Rolle, wenn man nur multipliziert';
catalog['Order of Operations'] = 'Die Reihenfolge von Rechenoperationen';
catalog['Order of operations examples'] = 'Reihenfolge von Rechenoperationen - Beispiele';
catalog['Order of operations with exponents examples'] = 'Reihenfolge der Rechenarten mit Exponenten - Beispiele';
catalog['Order of operations with exponents'] = 'Reihenfolge der Rechenarten mit Exponenten';
catalog['Order of operations with negative numbers'] = 'Reihenfolge der Rechenarten mit negativen Zahlen';
catalog['Order of operations'] = 'Die Reihenfolge von Rechenoperationen';
catalog['Order of steps exercise example'] = 'Reihenfolge der Schritte - \u00dcbungsbeispiel';
catalog['Order three objects by length; compare the lengths of two objects indirectly by using a third object.'] = 'Order three objects by length; compare the lengths of two objects indirectly by using a third object.';
catalog['Ordered Pair Solutions of Equations'] = 'L\u00f6sung von Termen in Gleichungen';
catalog['Ordered pair solutions of equations 2'] = 'Geordnete Paarl\u00f6sungen f\u00fcr Gleichungen 2';
catalog['Ordered pair solutions of equations'] = 'L\u00f6sung von Termen in Gleichungen';
catalog['Ordered pair solutions to linear equations'] = 'Geordnete L\u00f6sungspaare zu linearen Gleichungen';
catalog['Ordering decimals example'] = 'Ordnen von Dezimalzahlen - Beispiel';
catalog['Ordering decimals'] = 'Dezimalzahlen sortieren';
catalog['Ordering fractions'] = 'Br\u00fcche ordnen';
catalog['Ordering metric distances'] = 'Metrische Entfernungen sortieren';
catalog['Ordering negative numbers from least to greatest'] = 'Negative Zaheln von der kleinsten zur gr\u00f6\u00dften Zahl ordnen';
catalog['Ordering negative numbers'] = 'Negative Zahlen ordnen';
catalog['Ordering numbers expressed as decimals, fractions, and percentages'] = 'Ordnen von Zahlen in Form von Dezimalzahlen, Br\u00fcchen und Prozents\u00e4tzen';
catalog['Ordering numeric expressions'] = 'Ordnen von numerischen Ausdr\u00fccken';
catalog['Orders of magnitude exercise example 1'] = 'Gr\u00f6\u00dfenordnungen \u00dcbungsbeispiel 1';
catalog['Orders of magnitude exercise example 2'] = 'Gr\u00f6\u00dfenordnungen \u00dcbungsbeispiel 2';
catalog['Orders of magnitude'] = 'Gr\u00f6\u00dfenordnungen';
catalog['Organ systems'] = 'Organ systems';
catalog['Organelle overview'] = 'Organelle overview';
catalog['Organic Chemistry Naming Examples 2'] = 'Organische Chemie Benennung Beispiele 2';
catalog['Organic Chemistry Naming Examples 3'] = 'Organische Chemie Benennung Beispiele 3';
catalog['Organic Chemistry Naming Examples 5'] = 'Organische Chemie Benennung Beispiele 5';
catalog['Organic chemistry naming examples 2'] = 'Organic chemistry naming examples 2';
catalog['Organic chemistry naming examples 3'] = 'Organic chemistry naming examples 3';
catalog['Organic chemistry naming examples 5'] = 'Organic chemistry naming examples 5';
catalog['Organic chemistry'] = 'Organische Chemie';
catalog['Organic structures and acid/base'] = 'Organic structures and acid/base';
catalog['Organization Name'] = 'Organization Name';
catalog['Orientation and stokes'] = 'Orientation and stokes';
catalog['Orienting boundary with surface'] = 'Orienting boundary with surface';
catalog['Origami proof of the Pythagorean theorem'] = 'Origami proof of the Pythagorean theorem';
catalog['Origin of Markov chains'] = 'Ursprung von Markow-Ketten';
catalog['Origins of algebra'] = 'Urspr\u00fcnge der Algebra';
catalog['Orsanmichele'] = 'Orsanmichele';
catalog['Orsanmichele, Florence, 1349 loggia (1380-1404 upper stories)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Orsanmichele, Florence, 1349 loggia (1380-1404 upper stories)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Ortho-para directors I'] = 'Ortho-para directors I';
catalog['Ortho-para directors II'] = 'Ortho-para directors II';
catalog['Ortho-para directors III'] = 'Ortho-para directors III';
catalog['Orthogonal Complements as subspaces.'] = 'Orthogonal Complements as subspaces.';
catalog['Orthogonal complement of the nullspace'] = 'Orthogonal complement of the nullspace';
catalog['Orthogonal complement of the orthogonal complement'] = 'Orthogonal complement of the orthogonal complement';
catalog['Orthogonal complements'] = 'Orthogonal complements';
catalog['Orthogonal matrices preserve angles and lengths'] = 'Orthogonal matrices preserve angles and lengths';
catalog['Orthogonal projections'] = 'Orthogonale Abbildungen';
catalog['Orthonormal bases and the Gram-Schmidt process'] = 'Orthonormal bases and the Gram-Schmidt process';
catalog['Orthonormal basis'] = 'Orthonormal basis';
catalog['Oscillatory motion'] = 'Oszillierende Bewegung';
catalog['Other Materials'] = 'Other Materials';
catalog['Other Reactions and Synthesis'] = 'Other Reactions and Synthesis';
catalog['Other cool stuff'] = 'Andere coole Sachen';
catalog['Other features'] = 'Andere Funktionen';
catalog['Other fronts of World War I'] = 'Andere Fronten des 1. Weltkriegs';
catalog['Other household items you know'] = 'Other household items you know';
catalog['Other materials'] = 'Other materials';
catalog['Other periodic table trends'] = 'Other periodic table trends';
catalog['Other reactions and synthesis'] = 'Other reactions and synthesis';
catalog['Other triangle congruence postulates'] = 'Other triangle congruence postulates';
catalog['Otto Dix, Portrait of the Journalist Sylvia von Harden, 1926 (Mus\u00e9e National d\'Art Moderne, Centre Georges Pompidou, Paris)\n\n\nSpeakers: Dr. Juliana Kreinik, Chad Laird\n\nFor more videos, visit www.smarthistory.org'] = 'Otto Dix, Portrait of the Journalist Sylvia von Harden, 1926 (Mus\u00e9e National d\'Art Moderne, Centre Georges Pompidou, Paris)\n\n\nSpeakers: Dr. Juliana Kreinik, Chad Laird\n\nFor more videos, visit www.smarthistory.org';
catalog['Otto I (who became emperor in 962) lends his name to the \u201cOttonian\u201d period. He forged an important alliance with the Pope, which allowed him to be crowned the first official Holy Roman Emperor since 924.'] = 'Otto I (who became emperor in 962) lends his name to the \u201cOttonian\u201d period. He forged an important alliance with the Pope, which allowed him to be crowned the first official Holy Roman Emperor since 924.';
catalog['Ottonian art'] = 'Ottonian art';
catalog['Ottonian'] = 'Ottonian';
catalog['Our Mission'] = 'Our Mission';
catalog['Our Paleolithic ancestors were foraging nomads who eventually migrated across six continents. These early humans made tools, used fire, and sustained themselves in diverse environmental conditions.'] = 'Our Paleolithic ancestors were foraging nomads who eventually migrated across six continents. These early humans made tools, used fire, and sustained themselves in diverse environmental conditions.';
catalog['Our Species'] = 'Our Species';
catalog['Our ancestors noticed that certain rocks where attracted to each other. They also noticed that this force could be transferred onto certain metallic objects.'] = 'Our ancestors noticed that certain rocks where attracted to each other. They also noticed that this force could be transferred onto certain metallic objects.';
catalog['Our ancestors noticed that when amber was rubbed against fur it attracted small objects...why is this?'] = 'Our ancestors noticed that when amber was rubbed against fur it attracted small objects...why is this?';
catalog['Our shifting globe'] = 'Our shifting globe';
catalog['Our talent for preserving and sharing information, passing it from one generation to the next, has made us the most powerful species on the planet.'] = 'Our talent for preserving and sharing information, passing it from one generation to the next, has made us the most powerful species on the planet.';
catalog['Our universe is defined by stars.  This topic explores how they came to be and where they end up.  This includes a discussion of black holes and galaxies.'] = 'Das bestimmende Element in unserem Universum sind die Sterne. Dieses Tutorial geht der Frage nach, wie sie entstanden sind, und wie sie enden. Das schlie\u00dft einen Blick auf schwarze L\u00f6cher und Galaxien ein.';
catalog['Our vision'] = 'Unsere Vision';
catalog['Out of the chaos of the Big Bang came the first atoms, the building blocks of every single thing.'] = 'Out of the chaos of the Big Bang came the first atoms, the building blocks of every single thing.';
catalog['Outline of the 1973 Allende Coup in Chile and Pinochet\'s Junta (this video under CC-BY-SA)'] = 'Outline of the 1973 Allende Coup in Chile and Pinochet\'s Junta (this video under CC-BY-SA)';
catalog['Overtaking word problem'] = 'Textaufgaben zu \u00dcberholman\u00f6vern';
catalog['Overview Quiz on Medieval Art'] = 'Overview Quiz on Medieval Art';
catalog['Overview and history of algebra'] = '\u00dcberblick und die Geschichte von Algebra';
catalog['Overview of B cells (B lymphocytes) and how they are activated and produce antibodies'] = '\u00dcberblick zu B-Zellen (B-Lymphozyten) und wie sie Antik\u00f6rper produzieren und aktivieren';
catalog['Overview of Benjamin Franklin\'s life'] = 'Overview of Benjamin Franklin\'s life';
catalog['Overview of Chinese history 1911 - 1949'] = 'Overview of Chinese history 1911 - 1949';
catalog['Overview of Chinese history 1911-1949'] = 'Overview of Chinese history 1911-1949';
catalog['Overview of Communism and Marxist-Leninist States'] = '\u00dcbersicht \u00fcber den Kommunismus und die marxistisch-leninistischen Staaten';
catalog['Overview of KhanAcademy.org'] = '\u00dcbersicht \u00fcber KhanAcademy.org';
catalog['Overview of SAT prep on Khan Academy'] = 'Overview of SAT prep on Khan Academy';
catalog['Overview of cycles of regulation, de-regulation and government in 20th century US capitalism'] = 'Overview of cycles of regulation, de-regulation and government in 20th century US capitalism';
catalog['Overview of early 19th century French history and context for Les Miserables'] = '\u00dcbersicht \u00fcber die Geschichte des fr\u00fchen 19. Jahrhundert in Frankreich und Kontext f\u00fcr Les Miserables';
catalog['Overview of fractional reserve banking'] = 'Overview of fractional reserve banking';
catalog['Overview of full reserve banking in comparison to fractional reserve banking'] = 'Overview of full reserve banking in comparison to fractional reserve banking';
catalog['Overview of glycolysis'] = '\u00dcberblick zur Glykolyse';
catalog['Overview of how hedge funds are different than mutual funds'] = 'Overview of how hedge funds are different than mutual funds';
catalog['Overview of how the nephrons in the kidney filter blood and reabsorb water and other molecules.'] = '\u00dcbersicht zur Blutfilterung in der Niere durch das Nephron und zur Resorption des Wassers und anderer Molek\u00fcle.';
catalog['Overview of metabolism - Passage 1'] = 'Overview of metabolism - Passage 1';
catalog['Overview of metabolism - Passage 2'] = 'Overview of metabolism - Passage 2';
catalog['Overview of metabolism'] = 'Overview of metabolism';
catalog['Overview of metabolism: Anabolism and catabolism'] = 'Overview of metabolism: Anabolism and catabolism';
catalog['Overview of neuron function'] = 'Overview of neuron function';
catalog['Overview of neuron structure'] = 'Overview of neuron structure';
catalog['Overview of photosynthesis'] = '\u00dcberblick zur Photosynthese';
catalog['Overview of quantitative easing'] = '\u00dcbersicht zum Thema Quantitative Easing';
catalog['Overview of the Cuban Missile Crisis'] = '\u00dcbersicht \u00fcber die Kuba-Krise';
catalog['Overview of the Electron Transport Chain'] = '\u00dcberblick \u00fcber die Elektronentransportkette';
catalog['Overview of the Geithner Plan and the problem it is supposed to solve.'] = 'Overview of the Geithner Plan and the problem it is supposed to solve.';
catalog['Overview of the Krebs or Citric Acid Cycle'] = '\u00dcberblick \u00fcber den Krebs- oder Citratzyklus';
catalog['Overview of the Vietnam War'] = '\u00dcbersicht \u00fcber den Vietnam-Krieg';
catalog['Overview of the difference between term and whole life insurance policies'] = 'Overview of the difference between term and whole life insurance policies';
catalog['Overview of the estate tax'] = 'Overview of the estate tax';
catalog['Overview of the first landers on Mars'] = 'Overview of the first landers on Mars';
catalog['Overview of the first two coalitions against France and Napoleon\'s roles in them.'] = 'Overview of the first two coalitions against France and Napoleon\'s roles in them.';
catalog['Overview of the inflammatory response'] = '\u00dcbersicht der Entz\u00fcndungsreaktion';
catalog['Overview of theories of development'] = 'Overview of theories of development';
catalog['Overview of types of immune responses.  Difference between innate and adaptive immunity.  Differences between humoral adaptive immunity and cell-mediated adaptive immunity.'] = '\u00dcberblick der Typen der Immunantwort. Die Unterschiede zwischen angeborener und adaptiver Immunit\u00e4t. Der Unterschied zwischen adaptierter Immunit\u00e4t und zellul\u00e4rer Immunantwort.';
catalog['Overview of what the Alternative Minimum Tax is and its purpose'] = 'Overview of what the Alternative Minimum Tax is and its purpose';
catalog['Overview quiz on medieval art'] = 'Overview quiz on medieval art';
catalog['Overview'] = '\u00dcbersicht';
catalog['Oxidation and reduction are powerful ideas for thinking about how charge is transferred within a reaction.  As we\'ll see, it is something of a hypothetical, but it is, nonetheless, very useful.'] = 'Oxidation and reduction are powerful ideas for thinking about how charge is transferred within a reaction.  As we\'ll see, it is something of a hypothetical, but it is, nonetheless, very useful.';
catalog['Oxidation and reduction in cellular respiration'] = 'Oxidation und Reduktion w\u00e4hrend der Zellatmung';
catalog['Oxidation and reduction in cellular respiration.  Reconciling the biology and chemistry definitions of oxidation and reduction.'] = 'Oxidation und Reduktion in der Zellatmung. Vereinbarung der biologischen und chemischen Definitionen  von Oxidation  und Reduktion.';
catalog['Oxidation and reduction in metabolism'] = 'Oxidation and reduction in metabolism';
catalog['Oxidation and reduction review from biological point-of-view'] = 'Zusammenfassung (review) der Oxidation und Reduktion aus biologischer Sicht';
catalog['Oxidation and reduction'] = 'Oxidation und Reduktion';
catalog['Oxidation of alcohols (examples)'] = 'Oxidation of alcohols (examples)';
catalog['Oxidation of alcohols I: Mechanism and oxidation states'] = 'Oxidation of alcohols I: Mechanism and oxidation states';
catalog['Oxidation of alcohols II: Examples'] = 'Oxidation of alcohols II: Examples';
catalog['Oxidation of alcohols'] = 'Oxidation of alcohols';
catalog['Oxidation of aldehydes using Tollens\' reagent'] = 'Oxidation of aldehydes using Tollens\' reagent';
catalog['Oxidation reduction or redox reactions'] = 'Oxidation reduction or redox reactions';
catalog['Oxidation reduction'] = 'Oxidation Reduktion';
catalog['Oxidation state trends in periodic table'] = 'Oxidation state trends in periodic table';
catalog['Oxidation states I'] = 'Oxidationsstufen I';
catalog['Oxidation states II'] = 'Oxidationsstufen II';
catalog['Oxidative Phosphorylation and Chemiosmosis (along with slight correction of previous video)'] = 'Oxidative Phosphorylierung und Chmiosmose (korrigierte Version des letzen Videos)';
catalog['Oxidative phosphorylation and chemiosmosis'] = 'Oxidative Phosphorylierung und Chemiosmotische Kopplung';
catalog['Oxidizing and reducing agents'] = 'Oxidizing and reducing agents';
catalog['Oxygen content'] = 'Oxygen content';
catalog['Oxygen movement from alveoli to capillaries'] = 'Oxygen movement from alveoli to capillaries';
catalog['Oxygen uptake by hemoglobin in red blood cells'] = 'Sauerstoffaufnahme bei Hemoglobin in roten Blutk\u00f6rperchen';
catalog['Ozone Layer and Eukaryotes Show Up in the Proterozoic Eon.  Great Oxygenation Event (Oxygen Catastrophe)'] = 'Ozonschicht und Eukaryoten tauchen im  Proterozoikum Eon auf.  Das gro\u00dfe Oxygenations-Ereignis (Sauerstoff-Katastrophe)';
catalog['Ozone layer and eukaryotes show up in the Proterozoic eon'] = 'Ozone layer and eukaryotes show up in the Proterozoic eon';
catalog['Ozonolysis'] = 'Ozonolyse';
catalog['P.H. Emerson (1856-1936) believed that "nothing in nature has a hard outline" and attempted to emulate natural eyesight wherein the subject is sharp and everything else gradually falls out of focus. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>'] = 'P.H. Emerson (1856-1936) believed that "nothing in nature has a hard outline" and attempted to emulate natural eyesight wherein the subject is sharp and everything else gradually falls out of focus. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>';
catalog['P.H. Emerson\'s naturalistic photography'] = 'P.H. Emerson\'s naturalistic photography';
catalog['P/E conundrum'] = 'P/E conundrum';
catalog['P/E discussion'] = 'P/E discussion';
catalog['PBS NewsHour on the Khan Academy'] = 'PBS "NewsHour" \u00fcber die Khan Akademie';
catalog['PBS NewsHour piece on the Khan Academy'] = 'Sendung der PBS "NewsHour" \u00fcber die Khan Akademie';
catalog['PPACA or "Obamacare"'] = 'PPACA oder auch "Obamacare"';
catalog['PV/T is a constant.  Figuring out the volume of an ideal gas at standard temperature and pressure (STP).'] = 'PV/T ist eine Konstante.  Wir finden das Volumen eines idealen Gas bei Standardtemperatur und Druck (STP) heraus.';
catalog['Pablo Picasso, "Guitar, Glass, and Bottle"'] = 'Pablo Picasso, "Guitar, Glass, and Bottle"';
catalog['Pablo Picasso, Les Demoiselles d\'Avignon, 1907 (Museum of Modern Art)'] = 'Pablo Picasso, Les Demoiselles d\'Avignon, 1907 (Museum of Modern Art)';
catalog['Pablo Picasso, The Reservoir, Horta de Ebro, oil on canvas, summer 1909, 24-1/8 x 20-1/8" (MoMA, fractional and promised gift)'] = 'Pablo Picasso, The Reservoir, Horta de Ebro, oil on canvas, summer 1909, 24-1/8 x 20-1/8" (MoMA, fractional and promised gift)';
catalog['Pacher, St. Wolfgang Altarpiece'] = 'Pacher, St. Wolfgang Altarpiece';
catalog['Page not found'] = 'Seite nicht gefunden';
catalog['Page'] = 'Page';
catalog['Pain and temperature'] = 'Pain and temperature';
catalog['Painted Garden, Villa of Livia, fresco, 30-20 B.C.E. (Museo Nazionale Romano, Palazzo Massimo, Rome) Plant species include: umbrella pine, oak, red fir, quince, pomegranate, myrtle, oleander, date palm, strawberry, laurel, viburnum, holm oak, boxwood, cypress, ivy, acanthus, rose, poppy, chrysanthemum, chamomile, fern, violet, and iris.'] = 'Painted Garden, Villa of Livia, fresco, 30-20 B.C.E. (Museo Nazionale Romano, Palazzo Massimo, Rome) Plant species include: umbrella pine, oak, red fir, quince, pomegranate, myrtle, oleander, date palm, strawberry, laurel, viburnum, holm oak, boxwood, cypress, ivy, acanthus, rose, poppy, chrysanthemum, chamomile, fern, violet, and iris.';
catalog['Paintings'] = 'Gem\u00e4lde';
catalog['Pair of Centaurs Fighting Cats of Prey from Hadrian\'s Villa, Tivoli'] = 'Pair of Centaurs Fighting Cats of Prey from Hadrian\'s Villa, Tivoli';
catalog['Pair of Centaurs Fighting Cats of Prey from Hadrian\'s Villa, mosaic, c. 130 B.C.E. (Altes Museum, Berlin)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker \n\nSee this on Smarthistory: http://smarthistory.khanacademy.org/pair-of-centaurs-fighting-cats-of-prey-from-hadrians-villa.html\n\nView this mosaic up close in the Google Art Project'] = 'Pair of Centaurs Fighting Cats of Prey from Hadrian\'s Villa, mosaic, c. 130 B.C.E. (Altes Museum, Berlin)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker \n\nSee this on Smarthistory: http://smarthistory.khanacademy.org/pair-of-centaurs-fighting-cats-of-prey-from-hadrians-villa.html\n\nView this mosaic up close in the Google Art Project';
catalog['Pair of chests, attributed to Antonio Maffei'] = 'Pair of chests, attributed to Antonio Maffei';
catalog['Palace x Tate - Palace skateboards inspired by John Martin'] = 'Palace x Tate - Palace skateboards inspired by John Martin';
catalog['Paleolithic, Mesolithic and Neolithic '] = 'Paleolithic, Mesolithic and Neolithic ';
catalog['Paleolithic, Mesolithic and Neolithic'] = 'Paleolithic, Mesolithic and Neolithic';
catalog['Palette knives, rags, sponges, fingers\u2014Courbet used a wide variety of tools to apply paint. Artist Peter Zokosky demonstrates techniques <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=252741" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=252741">Courbet</a> may have used. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'Palette knives, rags, sponges, fingers\u2014Courbet used a wide variety of tools to apply paint. Artist Peter Zokosky demonstrates techniques <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=252741" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=252741">Courbet</a> may have used. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['Pamela welcomes you to our new series about computing professionals.'] = 'Pamela welcomes you to our new series about computing professionals.';
catalog['Pangaea - the idea of Pangaea and some of the evidence behind it'] = 'Pangaea - die Idee hinter Pangaea und einige Beweise daf\u00fcr';
catalog['Pangaea'] = 'Pangaea';
catalog['Paolo Uccello\'s Battle of San Romano, probably c. 1438-40  in the National Gallery, London\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Paolo Uccello\'s Battle of San Romano, probably c. 1438-40  in the National Gallery, London\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Paolo Veronese, Feast in the House of Levi, 1573, oil on canvas, 18 feet 3 inches x 42 feet, Accademia, Venice\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Paolo Veronese, Feast in the House of Levi, 1573, oil on canvas, 18 feet 3 inches x 42 feet, Accademia, Venice\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Paolo Veronese, The Dream of Saint Helena, c. 1570, oil on canvas, 197.5 x 115.6 cm (The National Gallery, London)'] = 'Paolo Veronese, The Dream of Saint Helena, c. 1570, oil on canvas, 197.5 x 115.6 cm (The National Gallery, London)';
catalog['Paolo Veronese, The Family of Darius before Alexander, 1565-67, oil on canvas, 236.2 x 474.9 cm (The National Gallery, London)'] = 'Paolo Veronese, The Family of Darius before Alexander, 1565-67, oil on canvas, 236.2 x 474.9 cm (The National Gallery, London)';
catalog['Paolo Veronese. Feast in the House of Levi, 1573'] = 'Paolo Veronese. Feast in the House of Levi, 1573';
catalog['Parabola as the locus of all points equidistant from a point and a line'] = 'Parabola as the locus of all points equidistant from a point and a line';
catalog['Parabola focus and directrix 1'] = 'Parabel Fokus und Leitgerade 1';
catalog['Parabola intuition 1'] = 'Gesp\u00fcr f\u00fcr Parabeln bekommen 1';
catalog['Parabola intuition 2'] = 'Parabola intuition 2';
catalog['Parabola intuition 3'] = 'Parabola intuition 3';
catalog['Parabola intuition example 1'] = 'Parabel Intuition - Beispiel 1';
catalog['Parabola vertex and axis of symmetry'] = 'Scheitelpunkt einer Parabel und Symmetrieachse';
catalog['Parabola, Hyperbolas, etc.'] = 'Parabel, Hyperbeln, etc.';
catalog['Parabolas'] = 'Parabeln';
catalog['Parabolic Mirrors 2'] = 'Parabolic Mirrors 2';
catalog['Parabolic Mirrors and Real Images'] = 'Parabolic Mirrors and Real Images';
catalog['Parabolic mirrors 2'] = 'Parabolic mirrors 2';
catalog['Parabolic mirrors and real images'] = 'Parabolic mirrors and real images';
catalog['Parallax in Observing Stars'] = 'Parallaxe bei der Beobachtung von Sternen';
catalog['Parallax in observing stars'] = 'Parallax in observing stars';
catalog['Parallax method'] = 'Parallax method';
catalog['Parallel Line Equation'] = 'Gleichung f\u00fcr parallele Linien';
catalog['Parallel Lines 2'] = 'Parallele Geraden 2';
catalog['Parallel Lines'] = 'Parallele Geraden';
catalog['Parallel and perpendicular lines intro'] = 'Parallele Linien und Normale - Einf\u00fchrung';
catalog['Parallel line equation'] = 'Gleichung f\u00fcr parallele Linien';
catalog['Parallel lines 1'] = 'Parallele Geraden 1';
catalog['Parallel lines 2'] = 'Parallele Geraden 2';
catalog['Parallel lines 3'] = 'Parallele Geraden 3';
catalog['Parallel lines, transversal lines, corresponding angles'] = 'Parallele Geraden, schneidende Geraden (Transversalen), sich erg\u00e4nzende Winkel';
catalog['Parameterizing a surface'] = 'Parameterizing a surface';
catalog['Parameterizing a surface.  Surface integrals. Stokes\' theorem.'] = 'Parametrierung einer Fl\u00e4che.  Fl\u00e4chenintegrale. Stokes\' Theorem.';
catalog['Parametric Equations that "move" along the same path'] = 'Parametrische Gleichungen, die sich auf dem gleichen Pfad "bewegen"';
catalog['Parametric Representations of Lines in R2 and R3'] = 'Parametric Representations of Lines in R2 and R3';
catalog['Parametric equations 1'] = 'Parametrische Gleichungen 1';
catalog['Parametric equations 2'] = 'Parametrische Gleichungen 2';
catalog['Parametric equations 3'] = 'Parametrische Gleichungen 3';
catalog['Parametric equations 4'] = 'Parametrische Gleichungen 4';
catalog['Parametric equations and polar coordinates'] = 'Parameterdarstellung und Polarkoordinaten';
catalog['Parametric equations'] = 'Parametrisierte Gleichungen';
catalog['Parametric representations of lines'] = 'Parametric representations of lines';
catalog['Parametrization of a reverse path'] = 'Parametrization of a reverse path';
catalog['Parametrizing a surface that can be explictly made a function of x and y.'] = 'Parametrizing a surface that can be explictly made a function of x and y.';
catalog['Parametrizing a surface'] = 'Parametrizing a surface';
catalog['Parametrizing the top surface'] = 'Parametrizing the top surface';
catalog['Pareto Optimality and more on Nash Equilibrium.  Seeing how cheating duopolists parallels the prisoners dilemma'] = 'Pareto Optimality and more on Nash Equilibrium.  Seeing how cheating duopolists parallels the prisoners dilemma';
catalog['Paris Peace Conference and Treaty of Versailles'] = 'Paris Peace Conference and Treaty of Versailles';
catalog['Paritial fraction expansion'] = 'Paritial Bruch-Erweiterung';
catalog['Parmigianino, Madonna of the Long Neck'] = 'Parmigianino, Madonna of the Long Neck';
catalog['Parmigianino, Madonna of the Long Neck, 1530-33, 28 3/4 x 23 1/2" (73 x 60), Uffizi, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris\n\nhttp://smarthistory.khanacademy.org/parmigianinos-madonna-of-the-long-neck.html'] = 'Parmigianino, Madonna of the Long Neck, 1530-33, 28 3/4 x 23 1/2" (73 x 60), Uffizi, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris\n\nhttp://smarthistory.khanacademy.org/parmigianinos-madonna-of-the-long-neck.html';
catalog['Parmigianino, Self-Portrait in a Convex Mirror'] = 'Parmigianino, Self-Portrait in a Convex Mirror';
catalog['Parsec Definition'] = 'Parsec-Definition';
catalog['Parsec definition'] = 'Parsec definition';
catalog['Parsing gross domestic product'] = 'Parsing gross domestic product';
catalog['Part 1 of identifying and graphic conic sections'] = 'Teil 1 der Identifikation und Grafik von konischen Anschnitten';
catalog['Part 1 of proof of Heron\'s formula'] = 'Part 1 of proof of Heron\'s formula';
catalog['Part 1 of the French Revolution.  From the Convocation of the Estates General to the storming of the Bastille'] = 'Part 1 of the French Revolution.  From the Convocation of the Estates General to the storming of the Bastille';
catalog['Part 1 of the proof of Green\'s Theorem'] = 'Part 1 of the proof of Green\'s Theorem';
catalog['Part 1 of the proof of Heron\'s Formula'] = 'Part 1 of the proof of Heron\'s Formula';
catalog['Part 1: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220\n\nThis video (1 of 3), focuses on the cathedral\'s pre-Gothic history, its sacred relic, and the westwerk\'s royal portal and jamb figures\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/Gothic.html'] = 'Part 1: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220\n\nThis video (1 of 3), focuses on the cathedral\'s pre-Gothic history, its sacred relic, and the westwerk\'s royal portal and jamb figures\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/Gothic.html';
catalog['Part 1: Tips from blended-learning teachers about the structures and systems that make blended work'] = 'Part 1: Tips from blended-learning teachers about the structures and systems that make blended work';
catalog['Part 1: http://youtu.be/ahXIMUkSXX0 Part 2: http://youtu.be/lOIP_Z_-0Hs How to find the Lucas Angle: http://youtu.be/RRNQAaTVa_A References: Only good article I could find on the subject: http://www.sciencenews.org/view/generic/id/8479/title/Math_Trek__The_Mathematical_Lives_of_Plants Book of Numbers: http://books.google.com/books?id=0--3rcO7dMYC&amp;pg=PA113&amp;lpg=PA113&amp;dq=conway+phyllotaxis&amp;source=bl&amp;ots=-bTLzWkMtB&amp;sig=XnbL9nRYQoWOCbvWdZPAlVa3Co0&amp;hl=en&amp;sa=X&amp;ei=2afqTui9L6OUiAKapaC7BA&amp;ved=0CCkQ6AEwAQ#v=onepage&amp;q&amp;f=false Douady and Couder paper with the magnetized droplets: http://www.math.ntnu.no/~jarlet/Douady96.pdf Pretty sane page on phyllotaxis: http://www.math.smith.edu/phyllo/'] = 'Part 1: http://youtu.be/ahXIMUkSXX0 Part 2: http://youtu.be/lOIP_Z_-0Hs How to find the Lucas Angle: http://youtu.be/RRNQAaTVa_A References: Only good article I could find on the subject: http://www.sciencenews.org/view/generic/id/8479/title/Math_Trek__The_Mathematical_Lives_of_Plants Book of Numbers: http://books.google.com/books?id=0--3rcO7dMYC&amp;pg=PA113&amp;lpg=PA113&amp;dq=conway+phyllotaxis&amp;source=bl&amp;ots=-bTLzWkMtB&amp;sig=XnbL9nRYQoWOCbvWdZPAlVa3Co0&amp;hl=en&amp;sa=X&amp;ei=2afqTui9L6OUiAKapaC7BA&amp;ved=0CCkQ6AEwAQ#v=onepage&amp;q&amp;f=false Douady and Couder paper with the magnetized droplets: http://www.math.ntnu.no/~jarlet/Douady96.pdf Pretty sane page on phyllotaxis: http://www.math.smith.edu/phyllo/';
catalog['Part 1: http://youtu.be/ahXIMUkSXX0Part 3: http://youtu.be/14-NdQwKz9wMore on Angle-a-trons: http://www.youtube.com/watch?v=o6W6P8JZW0oNote: Beautiful spirally non-Fibonacci pinecones are very rare! If you find one, keep it.'] = 'Part 1: http://youtu.be/ahXIMUkSXX0Part 3: http://youtu.be/14-NdQwKz9wMore on Angle-a-trons: http://www.youtube.com/watch?v=o6W6P8JZW0oNote: Beautiful spirally non-Fibonacci pinecones are very rare! If you find one, keep it.';
catalog['Part 1a of the 2008 BC free response'] = 'Part 1a of the 2008 BC free response';
catalog['Part 1d of the 2008 AP Calculus BC exam (free response)'] = 'Teil 1d der 2008 AP Calculus BC-Pr\u00fcfung (freie Antwort)';
catalog['Part 2 of an example of taking a line integral over a closed path'] = 'Part 2 of an example of taking a line integral over a closed path';
catalog['Part 2 of getting the Laplace transform of sin(at)'] = 'Part 2 of getting the Laplace transform of sin(at)';
catalog['Part 2 of identifying and graphing conic sections'] = 'Teil 2 der Identifikation und Grafik von konischen Anschnitten';
catalog['Part 2 of proof of Heron\'s formula'] = 'Part 2 of proof of Heron\'s formula';
catalog['Part 2 of shell method with 2 functions of y'] = 'Part 2 of shell method with 2 functions of y';
catalog['Part 2 of the proof of Green\'s Theorem'] = 'Part 2 of the proof of Green\'s Theorem';
catalog['Part 2 of the proton through a magnetic field problem'] = 'Part 2 of the proton through a magnetic field problem';
catalog['Part 2 of the transform of the sin(at)'] = 'Part 2 of the transform of the sin(at)';
catalog['Part 2 of washer for non axis rotation'] = 'Part 2 of washer for non axis rotation';
catalog['Part 2: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220 This video (2 of 3), focuses on the cathedral&#39;s interior, its stained glass, nave, aisles, elevation, and choir Speakers: Dr. Beth Harris and Dr. Steven Zucker For more: http://smarthistory.org/Gothic.html'] = 'Part 2: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220 This video (2 of 3), focuses on the cathedral&#39;s interior, its stained glass, nave, aisles, elevation, and choir Speakers: Dr. Beth Harris and Dr. Steven Zucker For more: http://smarthistory.org/Gothic.html';
catalog['Part 2: The Narrative Cycle from Giotto\'s Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Part 2: The Narrative Cycle from Giotto\'s Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Part 2: Tips from blended-learning teachers about the structures and systems that make blended work'] = 'Part 2: Tips from blended-learning teachers about the structures and systems that make blended work';
catalog['Part 2: http://youtu.be/lOIP_Z_-0Hs Part 3: http://youtu.be/14-NdQwKz9w Re: Pineapple under the Sea: <a href="http://youtu.be/gBxeju8dMho">http://youtu.be/gBxeju8dMho</a>'] = 'Part 2: http://youtu.be/lOIP_Z_-0Hs Part 3: http://youtu.be/14-NdQwKz9w Re: Pineapple under the Sea: <a href="http://youtu.be/gBxeju8dMho">http://youtu.be/gBxeju8dMho</a>';
catalog['Part 2d of the 2008 Calculus BC exam free-response section'] = 'Teil 2d von 2008 Calculus BC Pr\u00fcfung freier Antwort Bereich';
catalog['Part 3 of the intro to hyperbolas'] = 'Teil 3 der Einf\u00fchrung in Hyperbeln';
catalog['Part 3 of the presentation on age word problems'] = 'Teil 3 der Pr\u00e4sentation auf Textaufgaben mit Alter';
catalog['Part 3: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220\n\nThis video (3 of 3), focuses on the symbolism of light, the cathedral\'s flying buttresses, transept, the iconography of the north rose window, and the north porch and its sculptural program\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/Gothic.html'] = 'Part 3: Cathedral of Notre Dame de Chartres, c.1145 and 1194-c.1220\n\nThis video (3 of 3), focuses on the symbolism of light, the cathedral\'s flying buttresses, transept, the iconography of the north rose window, and the north porch and its sculptural program\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nFor more: http://smarthistory.org/Gothic.html';
catalog['Part 3: The Lamentation from Giotto\'s Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Part 3: The Lamentation from Giotto\'s Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Part 4: The Last Judgment from Giotto\'s Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Part 4: The Last Judgment from Giotto\'s Arena (Scrovegni) Chapel, Padua, c. 1305\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Part I of the introduction to mortgage-backed securities'] = 'Part I of the introduction to mortgage-backed securities';
catalog['Part II of the introduction to mortgage-backed securities'] = 'Part II of the introduction to mortgage-backed securities';
catalog['Part of Sal\'s interview on Big Think'] = 'Teil von Sal\'s Interview bei Big Think';
catalog['Part of a long archipelago off the eastern rim of the Asian continent, the island country of Japan has four main islands: Hokkaido, Honshu, Shikoku, and Kyushu. Numerous smaller islands lie on either end to form a sweeping arc formation that extends northeast to southwest. Another distinctive feature of the Japanese landscape is its volcanic, mountainous terrain. More than two thirds of the land is adorned with low to steep mountains traversed by swift-flowing rivers. These dramatic geographic features have shaped Japan\'s political history and artistic culture. '] = 'Part of a long archipelago off the eastern rim of the Asian continent, the island country of Japan has four main islands: Hokkaido, Honshu, Shikoku, and Kyushu. Numerous smaller islands lie on either end to form a sweeping arc formation that extends northeast to southwest. Another distinctive feature of the Japanese landscape is its volcanic, mountainous terrain. More than two thirds of the land is adorned with low to steep mountains traversed by swift-flowing rivers. These dramatic geographic features have shaped Japan\'s political history and artistic culture. ';
catalog['Partial Derivatives of Vector-Valued Functions'] = 'Partial Derivatives of Vector-Valued Functions';
catalog['Partial derivatives 2'] = 'Partielle Ableitungen 2';
catalog['Partial derivatives of vector-valued functions'] = 'Partial derivatives of vector-valued functions';
catalog['Partial derivatives'] = 'Partielle Ableitungen';
catalog['Partial derivatives, gradient, divergence, curl'] = 'Partielle Ableitungen, Gradienten, Divergenz, Wirbel';
catalog['Partial fraction decomposition to find sum of telescoping series'] = 'Partialbruchzerlegung zur Ermittlung der Summe von Teleskop-Serien';
catalog['Partial fraction expansion 1'] = 'Partialbruchzerlegung 1';
catalog['Partial fraction expansion 2'] = 'Partialbruchzerlegung 2';
catalog['Partial fraction expansion 3'] = 'Partialbruchzerlegung 3';
catalog['Partial fraction expansion'] = 'Paritial Bruch-Erweiterung';
catalog['Partial pressure'] = 'Partial pressure';
catalog['Partial quotient division'] = 'Division mit teilweisen Quotienten';
catalog['Partial quotient method of division 2'] = 'Divisionsmethode mit partiellen Quotienten 2';
catalog['Partial quotient method of division'] = 'Divisionsmethode mit partiellen Quotienten';
catalog['Partner content'] = 'Partnerinhalt';
catalog['Parts 2b and 2c of the 2008 BC exam (free response)'] = 'Parts 2b and 2c of the 2008 BC exam (free response)';
catalog['Parts b and c of problem 1 (free response)'] = 'Parts b and c of problem 1 (free response)';
catalog['Parts for Spout'] = 'Parts for Spout';
catalog['Parts of a Circle'] = 'Teile eines Kreises';
catalog['Parts of a circle'] = 'Teile eines Kreises';
catalog['Parts of a nephron'] = 'Parts of a nephron';
catalog['Parts'] = 'Parts';
catalog['Pascal\'s triangle for binomial expansion'] = 'Pascalsches Dreieck f\u00fcr binomiale Expansion';
catalog['Passed bike word problem'] = 'Entgegenkommende Fahrr\u00e4der - Textaufgabe';
catalog['Password (again)'] = 'Password (again)';
catalog['Password change successful'] = 'Password change successful';
catalog['Password change'] = 'Password change';
catalog['Password reset complete'] = 'Password reset complete';
catalog['Password reset successful'] = 'Password reset successful';
catalog['Password reset unsuccessful'] = 'Password reset unsuccessful';
catalog['Password reset'] = 'Passwort zur\u00fccksetzen';
catalog['Password'] = 'Passwort';
catalog['Password:'] = 'Passwort:';
catalog['Path counting brain teaser'] = 'Path counting brain teaser';
catalog['Path independence for line integrals'] = 'Path independence for line integrals';
catalog['Pathfinder '] = 'Pathfinder ';
catalog['Pattern of US Cold War interventions'] = 'Pattern of US Cold War interventions';
catalog['Patterns in Sequences 1'] = 'Muster in Reihenfolgen 1';
catalog['Patterns in Sequences 2'] = 'Muster in Reihenfolgen 2';
catalog['Patterns in data'] = 'Muster in Daten';
catalog['Patterns in sequences 1'] = 'Muster in Reihenfolgen 1';
catalog['Patterns in sequences 2'] = 'Muster in Reihenfolgen 2';
catalog['Patterns in zeros exercise'] = 'Muster mit Nullen - \u00dcbung';
catalog['Patterns in zeros'] = 'Muster in Nullen';
catalog['Patterns'] = 'Muster';
catalog['Paul C\u00e9zanne, Bathers (Les Grandes Baigneuses), c. 1894-1905, oil on canvas, 127.2 x 196.1 cm (The National Gallery, London)'] = 'Paul C\u00e9zanne, Bathers (Les Grandes Baigneuses), c. 1894-1905, oil on canvas, 127.2 x 196.1 cm (The National Gallery, London)';
catalog['Paul C\u00e9zanne, Still Life with Plaster Cupid, oil on canvas, c.1895 (Courtauld Gallery, London)\n\nSpeakers: Beth Harris, Rachel Ropeik, and Steven Zucker\nFor more: http://smarthistory.org/Cezannes-Still-Life-with-Apples.html'] = 'Paul C\u00e9zanne, Still Life with Plaster Cupid, oil on canvas, c.1895 (Courtauld Gallery, London)\n\nSpeakers: Beth Harris, Rachel Ropeik, and Steven Zucker\nFor more: http://smarthistory.org/Cezannes-Still-Life-with-Apples.html';
catalog['Paul C\u00e9zanne, The Large Bathers, 1906, oil on canvas, 82-7/8 x 98-3/4 inches / 210.5 x 250.8 cm (Philadelphia Museum of Art). In the Google Art Project: http://www.googleartproject.com/collection/philadelphia-museum-of-art/artwork/the-large-bathers-paul-cezanne-french-1839-1906/808050/'] = 'Paul C\u00e9zanne, The Large Bathers, 1906, oil on canvas, 82-7/8 x 98-3/4 inches / 210.5 x 250.8 cm (Philadelphia Museum of Art). In the Google Art Project: http://www.googleartproject.com/collection/philadelphia-museum-of-art/artwork/the-large-bathers-paul-cezanne-french-1839-1906/808050/';
catalog['Paul C\u00e9zanne, The Red Rock, c. 1895, oil on canvas, 91 x 66 cm (Mus\u00e9e de l\'Orangerie, Paris)'] = 'Paul C\u00e9zanne, The Red Rock, c. 1895, oil on canvas, 91 x 66 cm (Mus\u00e9e de l\'Orangerie, Paris)';
catalog['Paul C\u00e9zanne\'s approach to watercolor'] = 'Paul C\u00e9zanne\'s approach to watercolor';
catalog['Paul Gauguin, Nevermore, 1897, oil on canvas (Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel Ropeik, Dr. Steven Zucker'] = 'Paul Gauguin, Nevermore, 1897, oil on canvas (Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel Ropeik, Dr. Steven Zucker';
catalog['Paul Gauguin, The Red Cow, 1889, oil on canvas (LACMA)\n\nNote:\nDespite my saying that the cypress trees suggest this canvas may have been painted in the south, it was painted in Le Pouldu near Pont-Aven in Brittany (SZ).'] = 'Paul Gauguin, The Red Cow, 1889, oil on canvas (LACMA)\n\nNote:\nDespite my saying that the cypress trees suggest this canvas may have been painted in the south, it was painted in Le Pouldu near Pont-Aven in Brittany (SZ).';
catalog['Paul Gauguin, Vision after the Sermon, or Jacob Wrestling with the Angel'] = 'Paul Gauguin, Vision after the Sermon, or Jacob Wrestling with the Angel';
catalog['Paul Klee, Twittering Machine (Die Zwitscher-Maschine),  1922, 25 1/4 x 19" watercolor,\nink, and gouache on paper (MoMA)\n\nSpeakers: Dr. Juliana Kreinik and Dr. Steven Zucker'] = 'Paul Klee, Twittering Machine (Die Zwitscher-Maschine),  1922, 25 1/4 x 19" watercolor,\nink, and gouache on paper (MoMA)\n\nSpeakers: Dr. Juliana Kreinik and Dr. Steven Zucker';
catalog['Paul Troost\'s the House of (German) Art, 1933-37 is discussed in relation to the Great Exhibition of German Art and the Entartete Kunst Exhibitions of 1937 in Munich. The House of German Art now exhibits international contemporary art in direct opposition to the original National Socialist intent.'] = 'Paul Troost\'s the House of (German) Art, 1933-37 is discussed in relation to the Great Exhibition of German Art and the Entartete Kunst Exhibitions of 1937 in Munich. The House of German Art now exhibits international contemporary art in direct opposition to the original National Socialist intent.';
catalog['Paulson Bailout'] = 'Paulson Bailout';
catalog['Paulson bailout'] = 'Paulson bailout';
catalog['Payday loans'] = 'Payday loans';
catalog['Paying doctors'] = 'Paying doctors';
catalog['Paying for medicines: copays and deductibles'] = 'Paying for medicines: copays and deductibles';
catalog['Paying for medicines: tiering and formularies'] = 'Paying for medicines: tiering and formularies';
catalog['Peale, Staircase Group (Portrait of Raphaelle Peale and Titian Ramsay Peale)'] = 'Peale, Staircase Group (Portrait of Raphaelle Peale and Titian Ramsay Peale)';
catalog['Pearson\'s Chi Square Test (Goodness of Fit)'] = 'Pearson\'s Chi-Quadrat-Test (Anpassungsg\u00fcte)';
catalog['Pearson\'s chi square test (goodness of fit)'] = 'Pearson\'s Chi-Quadrat-Test (Anpassungsg\u00fcte)';
catalog['Pegging the yuan'] = 'Pegging the yuan';
catalog['Pencil resistor'] = 'Pencil resistor';
catalog['Pendulums.  Slinkies.  You when you have to use the bathroom but it is occupied.  These all go back and forth over and over and over again.  This tutorial explores this type of motion.'] = 'Pendel. Slinkies. Du, wenn du auf Toilette musst, aber alle Toiletten besetzt sind. All diese gehen vor und zur\u00fcck. Vor und zur\u00fcck... Dieses Tutorial erforscht diese Art von Bewegung.';
catalog['Penelope Curtis selects some highlights from Tate Britain&#39;s displays and considers how new visual dialogues have been created through juxtapositions of art work created at the same point in time, but in very different styles.&nbsp;This is part of the display: BP Walk through British Art.'] = 'Penelope Curtis selects some highlights from Tate Britain&#39;s displays and considers how new visual dialogues have been created through juxtapositions of art work created at the same point in time, but in very different styles.&nbsp;This is part of the display: BP Walk through British Art.';
catalog['Penny Battery'] = 'Penny Battery';
catalog['Penny battery introduction'] = 'Penny battery introduction';
catalog['Penny battery'] = 'Penny battery';
catalog['Pension obligations'] = 'Pension obligations';
catalog['Pentecost and Mission to the Apostles Tympanum, V\u00e9zelay'] = 'Pentecost and Mission to the Apostles Tympanum, V\u00e9zelay';
catalog['Pentecost and Mission to the Apostles Tympanum, central portal of the narthex, Basilica Ste-Madeleine, V\u00e9zelay, France, 1120-32\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Pentecost and Mission to the Apostles Tympanum, central portal of the narthex, Basilica Ste-Madeleine, V\u00e9zelay, France, 1120-32\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Pentose phosphate pathway'] = 'Pentose phosphate pathway';
catalog['People and plants'] = 'Menschen und Pflanzen';
catalog['People have been telling you forever that linear algebra and matrices are useful for modeling, simulations and computer graphics, but it has been a little non-obvious.  This tutorial will start to draw the lines by re-introducing you functions (a bit more rigor than you may remember from high school) and linear functions/transformations in particular.'] = 'Leute sagten Sie f\u00fcr immer, da\u00df lineare Algebra und Matrizen eignen sich zur Modellierung, Simulation und Computergrafik, aber es ist schon ein bisschen nicht offensichtlich.  Dieses Tutorial wird beginnen, um die Linien zu zeichnen durch die erneute Einf\u00fchrung Sie Funktionen (ein bisschen mehr strenge, als Sie von der Gymnasium erinnern k\u00f6nnen) und lineare Funktionen/Transformationen insbesondere.';
catalog['People smoking less over time scatter plot'] = 'Menschen, die \u00fcber die Zeit weniger rauchen -  Streudiagramm';
catalog['Peplos Kore, c. 530 B.C.E., from the Acropolis, Athens, Greece<br />\n<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris'] = 'Peplos Kore, c. 530 B.C.E., from the Acropolis, Athens, Greece<br />\n<br />\nSpeakers: Dr. Steven Zucker &amp; Dr. Beth Harris';
catalog['Peptide bonds are formed when the amine group of one amino acid binds with the carbonyl carbon of another amino acid. We will learn more about peptide bonds and how the cleaving process occurs. &nbsp;By Tracy Kovach.'] = 'Peptide bonds are formed when the amine group of one amino acid binds with the carbonyl carbon of another amino acid. We will learn more about peptide bonds and how the cleaving process occurs. &nbsp;By Tracy Kovach.';
catalog['Peptide bonds: Formation and cleavage'] = 'Peptide bonds: Formation and cleavage';
catalog['Percent of exercises mastered (at least 10 consecutive correct answers)'] = 'Percent of exercises mastered (at least 10 consecutive correct answers)';
catalog['Percent word problems 1 example 2)'] = 'Prozent Textaufgaben 1 Beispiel 2)';
catalog['Percent word problems'] = 'Textaufgaben zur Prozentrechnung';
catalog['Percentage tax on hamburgers'] = 'Percentage tax on hamburgers';
catalog['Percentage word problems 1'] = 'Textaufgaben zur Prozentrechnung 1';
catalog['Percentages'] = 'Prozents\u00e4tze';
catalog['Perceptual organization'] = 'Perceptual organization';
catalog['Perfect and imperfect competition'] = 'Vollkommene und unvollkommene M\u00e4rkte';
catalog['Perfect competition'] = 'Perfekter Wettbewerb';
catalog['Perfect inelasticity and perfect elasticity of demand'] = 'Vollkommen unelastische und vollkommen elastische Elastizit\u00e4t der Nachfrage';
catalog['Perfect secrecy'] = 'Perfekte Geheimhaltung';
catalog['Performance Art'] = 'Performance Art';
catalog['Performance art: Marina Abramovi\u0107'] = 'Performance (Kunst): Marina Abramovi\u0107';
catalog['Performance artists talk about their workshop with Marina Abramovi\u0107 in preparation for re-performing her works at MoMA. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = 'Performance artists talk about their workshop with Marina Abramovi\u0107 in preparation for re-performing her works at MoMA. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Performing a rotation to match figures'] = 'Drehung durchf\u00fchren damit die Figuren \u00fcbereinstimmen';
catalog['Performing arithmetic calculations on units of volume'] = 'Arithmetische Berechnungen \u00fcber die Einheiten im Volumen';
catalog['Performing transformations on the coordinate plane'] = 'Transformationen im Koordinatensystem';
catalog['Perimeter 1'] = 'Umfang 1';
catalog['Perimeter and Area of a Non-Standard Polygon'] = 'Umfang und Fl\u00e4che eines nicht standardm\u00e4\u00dfigen Polygons';
catalog['Perimeter and Unit Conversion'] = 'Umfang und Umwandlung von Einheiten';
catalog['Perimeter and area basics'] = 'Grundlagen von Umfang und Fl\u00e4cheninhalt';
catalog['Perimeter and area of a non-standard polygon'] = 'Umfang und Fl\u00e4che eines nicht standardm\u00e4\u00dfigen Polygons (Vielecks)';
catalog['Perimeter and area of non-standard shapes'] = 'Umfang und Fl\u00e4che von ausgefalleneren Fl\u00e4chen';
catalog['Perimeter and area of triangles'] = 'Umfang und Fl\u00e4che von Dreiecken';
catalog['Perimeter and area'] = 'Umfang und Fl\u00e4che';
catalog['Perimeter and unit conversion'] = 'Umfang und Umwandlung von Einheiten';
catalog['Perimeter of a parallelogram'] = 'Umfang eines Parallelogramms';
catalog['Perimeter of a shape'] = 'Umfang einer Figur';
catalog['Perimeter of rectangle covered by 9 non-overlapping squares.  From 200) American Invitational Math Exam'] = 'Perimeter of rectangle covered by 9 non-overlapping squares.  From 200) American Invitational Math Exam';
catalog['Perimeter'] = 'Umfang';
catalog['Perimeter, area and volume'] = 'Umfang, Fl\u00e4che und Volumen';
catalog['Period trend for electron affinity'] = 'Period trend for electron affinity';
catalog['Period trend for ionization energy'] = 'Period trend for ionization energy';
catalog['Periodic table trends: Ionization energy'] = 'Periodic table trends: Ionization energy';
catalog['Periodic table'] = 'Periodic table';
catalog['Periodic table, trends, and bonding'] = 'Periodensystem, Trends und Bindungen';
catalog['Periodicity of tan example'] = 'Periodicity of tan example';
catalog['Periods of time before the written record are often defined in terms of geological eras or major shifts in climate and environment. The periods of global prehistory, known as lithic or stone ages, are Paleolithic (\u201cold stone age\u201d), Mesolithic (\u201cmiddle stone age\u201d), and Neolithic (\u201cnew stone age\u201d). A glacial period produced European ice ages; Saharan agricultural grassland became desert; and tectonic shifts in southeast Asia created land bridges between the continent and the now-islands of the Pacific south of the equator. Human behavior and expression was influenced by the changing environments in which they lived.\n\nBy permission, \u00a9 2013 The College Board'] = 'Periods of time before the written record are often defined in terms of geological eras or major shifts in climate and environment. The periods of global prehistory, known as lithic or stone ages, are Paleolithic (\u201cold stone age\u201d), Mesolithic (\u201cmiddle stone age\u201d), and Neolithic (\u201cnew stone age\u201d). A glacial period produced European ice ages; Saharan agricultural grassland became desert; and tectonic shifts in southeast Asia created land bridges between the continent and the now-islands of the Pacific south of the equator. Human behavior and expression was influenced by the changing environments in which they lived.\n\nBy permission, \u00a9 2013 The College Board';
catalog['Peripheral chemoreceptors'] = 'Peripheral chemoreceptors';
catalog['Permeability and membrane potentials'] = 'Permeability and membrane potentials';
catalog['Permutations and Combinations with overcounting'] = 'Permutations and Combinations with overcounting';
catalog['Permutations and combinations'] = 'Permutationen und Kombinationen';
catalog['Permutations and combinations.  Using combinatorics to solve questions in probability.'] = 'Permutationen und Kombinationen. Fragen aus der Wahrscheinlichkeitsrechnung mit Hilfe der Kombinatorik l\u00f6sen.';
catalog['Permutations'] = 'Permutationen';
catalog['Perpendicular Lines'] = 'Senkrechte Linien';
catalog['Perpendicular bisectors'] = 'Mittelsenkrechte';
catalog['Perpendicular line slope'] = 'Steigung senkrechter Geraden';
catalog['Perpendicular lines 2'] = 'Senkrechte Geraden 2';
catalog['Perpendicular lines'] = 'Senkrechte Linien';
catalog['Perpendicular radius bisects chord'] = 'Perpendicular radius bisects chord';
catalog['Perseus One beta'] = 'Perseus One beta';
catalog['Perseus basics'] = 'Perseus basics';
catalog['Perseus one beta'] = 'Perseus one beta';
catalog['Persistence is key'] = 'Persistence is key';
catalog['Personal bankruptcy'] = 'Privatinsolvenz';
catalog['Personal bankruptcy:  Chapters 7 and 13'] = 'Personal bankruptcy:  Chapters 7 and 13';
catalog['Personal lessons and insights from accomplished entrepreneurs are the basis of this interview series produced by the Ewing Marion Kauffman Foundation and Khan Academy.'] = 'Pers\u00f6nliche Erfahrungen und Erkenntnisse von erfahrenen Unternehmern sind die Basis f\u00fcr diese Interviewreihe von der Ewing Marion Kauffman Foundation und Khan Academy.';
catalog['Personal taxes'] = 'Personal taxes';
catalog['Perspectives on deviance: Differential association, labeling theory, and strain theory'] = 'Perspectives on deviance: Differential association, labeling theory, and strain theory';
catalog['Peter Paul Rubens, Arrival (or Disembarkation) of Marie de Medici at Marseilles,1621-25, oil on canvas, 394 x 295 cm (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker'] = 'Peter Paul Rubens, Arrival (or Disembarkation) of Marie de Medici at Marseilles,1621-25, oil on canvas, 394 x 295 cm (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker';
catalog['Peter Paul Rubens, The Consequences of War, 1638-39, oil on canvas (Palatine Gallery, Palazzo Pitti, Florence)\n\nhttp://smarthistory.khanacademy.org/baroque-flanders.html'] = 'Peter Paul Rubens, The Consequences of War, 1638-39, oil on canvas (Palatine Gallery, Palazzo Pitti, Florence)\n\nhttp://smarthistory.khanacademy.org/baroque-flanders.html';
catalog['Petrus Christus, Portrait of a Carthusian, 1446 (Metropolitan Museum of Art\n\nFor more videos, visit www.smarthistory,org\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris'] = 'Petrus Christus, Portrait of a Carthusian, 1446 (Metropolitan Museum of Art\n\nFor more videos, visit www.smarthistory,org\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris';
catalog['Petrus Christus, Portrait of a Young Woman, c. 1470, oil on oak, 29 x 22.50 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin). In the Google Art Project: http://www.googleartproject.com/collection/gemaldegalerie/artwork/portrait-of-a-young-woman-petrus-christus/324332/'] = 'Petrus Christus, Portrait of a Young Woman, c. 1470, oil on oak, 29 x 22.50 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin). In the Google Art Project: http://www.googleartproject.com/collection/gemaldegalerie/artwork/portrait-of-a-young-woman-petrus-christus/324332/';
catalog['Phase diagrams'] = 'Phase diagrams';
catalog['Phases of meiosis'] = 'Mitosestadien';
catalog['Phases of mitosis'] = 'Phasen der Mitose';
catalog['Pheromones'] = 'Pheromones';
catalog['Phidias (?), Sculpture from the East Pediment of the Parthenon, marble, c. 448-432 B.C.E., Classical Period (British Museum, London). Speakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Phidias (?), Sculpture from the East Pediment of the Parthenon, marble, c. 448-432 B.C.E., Classical Period (British Museum, London). Speakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Phidias(?), Parthenon Frieze, c. 438-32 B.C.E., pentelic marble, Classical Period (420 linear feet of the 525 that complete the frieze are in the British Museum). \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Phidias(?), Parthenon Frieze, c. 438-32 B.C.E., pentelic marble, Classical Period (420 linear feet of the 525 that complete the frieze are in the British Museum). \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Philip Rosedale - Evolving ideas vs. new ideas'] = 'Philip Rosedale - Evolving ideas vs. new ideas';
catalog['Philip Rosedale - Founder and Chairman of Second Life'] = 'Philip Rosedale - Gr\u00fcnder und Vorsitzender von Second Life';
catalog['Philip Rosedale - Founder of Coffee and Power'] = 'Philip Rosedale - Founder of Coffee and Power';
catalog['Philip Rosedale, Founder and Chairman of Second Life, talks about the origins of his groundbreaking virtual world, and how patience was the key to making the company profitable.&nbsp;'] = 'Philip Rosedale, Founder and Chairman of Second Life, talks about the origins of his groundbreaking virtual world, and how patience was the key to making the company profitable.&nbsp;';
catalog['Philip Rosedale, Founder of Coffee and Power, discusses his recent venture and how a student&rsquo;s education today can lead to a career tomorrow.&nbsp;'] = 'Philip Rosedale, Founder of Coffee and Power, discusses his recent venture and how a student&rsquo;s education today can lead to a career tomorrow.&nbsp;';
catalog['Philip Rosedale, Founder of Coffee and Power, discusses his recent venture and how a student\u2019s education today can lead to a career tomorrow.'] = 'Philip Rosedale, Founder of Coffee and Power, discusses his recent venture and how a student\u2019s education today can lead to a career tomorrow.';
catalog['Philip Rosedale, Founder of Coffee and Power, draws the distinction between companies that offer products distinguished by differentiation versus those that offer something fundamentally new. Philip goes on to discuss what drives him as an entrepreneur.&nbsp;'] = 'Philip Rosedale, Founder of Coffee and Power, draws the distinction between companies that offer products distinguished by differentiation versus those that offer something fundamentally new. Philip goes on to discuss what drives him as an entrepreneur.&nbsp;';
catalog['Phillips curve'] = 'Phillips curve';
catalog['Phospholipid structure'] = 'Phospholipid structure';
catalog['Photographer John Humble has been documenting the Los Angeles landscape since the 1970s. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>&nbsp;All images \u00a9John Humble, courtesy the Jan Kesner Gallery.'] = 'Photographer John Humble has been documenting the Los Angeles landscape since the 1970s. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>&nbsp;All images \u00a9John Humble, courtesy the Jan Kesner Gallery.';
catalog['Photographs'] = 'Fotografien';
catalog['Photography helps MoMA conservators determine how to treat Picasso\'s 1913 Cubist sculpture, <em>Still-Life with Guitar</em>. To learn about how art changes over time, enroll in one of <a data-cke-saved-href="http://www.moma.org/learn/courses/online#none" href="http://www.moma.org/learn/courses/online#none">MoMA\'s courses online</a>.'] = 'Photography helps MoMA conservators determine how to treat Picasso\'s 1913 Cubist sculpture, <em>Still-Life with Guitar</em>. To learn about how art changes over time, enroll in one of <a data-cke-saved-href="http://www.moma.org/learn/courses/online#none" href="http://www.moma.org/learn/courses/online#none">MoMA\'s courses online</a>.';
catalog['Photography meets art - Miles Aldridge'] = 'Photography meets art - Miles Aldridge';
catalog['Photoreceptor distribution in the fovea'] = 'Photoreceptor distribution in the fovea';
catalog['Photoreceptors (rods vs cones)'] = 'Photoreceptors (rods vs cones)';
catalog['Photorespiration'] = 'Photorespiration';
catalog['Photosynthesis'] = 'Photosynthese';
catalog['Photosynthesis:  Calvin cycle'] = 'Photosynthese: der Calvinzyklus';
catalog['Photosynthesis:  Light reactions and photophosphorylation'] = 'Fotosynthese: Die Lichtreaktion und die Fotophosporylierung';
catalog['Photosynthesis: Light reactions 1'] = 'Fotosynthese: Die Lichtreaktion 1';
catalog['Physical processes'] = 'Physical processes';
catalog['Physical properties of alcohols and preparation of alkoxides'] = 'Physical properties of alcohols and preparation of alkoxides';
catalog['Physical properties of aldehydes and ketones'] = 'Physical properties of aldehydes and ketones';
catalog['Physics'] = 'Physik';
catalog['Physiological concept of positive and negative feedback'] = 'Physiological concept of positive and negative feedback';
catalog['Pi (3.14159...) seems to get all of the attention in mathematics.  On some level this is warranted.  The ratio of the circumference of a circle to the diameter.  Seems pretty pure.  But what about the ratio of the circumference to the radius (which is two times pi and referred to as "tau")?  Now that you know a bit of trigonometry, you\'ll discover in videos made by Sal and Vi that "tau" may be much more deserving of the throne!'] = 'PI (3,14159...) bekommt die gesammelte Aufmerksamkeit in der Mathematik. In gewisser Hinsicht ist das angemessen: Das Verh\u00e4ltnis des Umfangs eines Kreises zu seinem Durchmesser. Klingt logisch. Aber was ist mit dem Verh\u00e4ltnis zwischen Umfang und Radius? (Das ist zweimal pi und wird als "tau" bezeichnet)? Jetzt wo Du etwas Trigonometrie gelernt hast, entdeckst Du vielleicht in den Videos hier, dass "tau" eigentlich die Krone verdient hat! ';
catalog['Pi bonds and sp2 Hybridized Orbitals'] = 'Pi-Bindungen und sp2 Hybridorbitale';
catalog['Pi bonds and sp2 hybridized orbitals'] = 'Pi-Bindungen und sp2 Hybridorbitale';
catalog['Pi is (still) wrong.'] = 'Pi ist (noch) falsch.';
catalog['Piaget\'s stages of cognitive development'] = 'Piaget\'s stages of cognitive development';
catalog['Picasso, Guernica'] = 'Picasso, Guernica';
catalog['Picasso, Guernica, oil on canvas, 1937 (Museo Reina Sofia, Madrid)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris'] = 'Picasso, Guernica, \u00d6l auf Leinwand, 1937 (Museo Reina Sofia, Madrid) \n\nDialog: Dr. Steven Zucker, Dr. Beth Harris';
catalog['Picasso, Guitar'] = 'Picasso, Gitarre';
catalog['Picasso, Les Demoiselles d\'Avignon'] = 'Picasso, Les Demoiselles d\'Avignon';
catalog['Picasso, Still Life with Chair Caning'] = 'Picasso, Still Life with Chair Caning';
catalog['Picasso, Still-Life with Chair Caning, 1912 (Mus\u00e9e Picasso)'] = 'Picasso, Still-Life with Chair Caning, 1912 (Mus\u00e9e Picasso)';
catalog['Picasso, The Reservoir, Horta de Ebro'] = 'Picasso, The Reservoir, Horta de Ebro';
catalog['Picking fairly'] = 'Picking fairly';
catalog['Pictographs and line graphs'] = 'Piktogramme und Liniendiagramme';
catalog['Pieces of fruit'] = 'Fruchtst\u00fccke';
catalog['Piecewise functions'] = 'Piecewise functions';
catalog['Piero della Francesca, Portraits of the Duke and Duchess of Urbino'] = 'Piero della Francesca, Portraits of the Duke and Duchess of Urbino';
catalog['Piero della Francesca, Portraits of the Duke and Duchess of Urbino, Federico da Montefeltro and Battista Sforza, 1467-72, tempera on panel, 47 x 33 cm (Galleria degli Uffizi, Florence)'] = 'Piero della Francesca, Portraits of the Duke and Duchess of Urbino, Federico da Montefeltro and Battista Sforza, 1467-72, tempera on panel, 47 x 33 cm (Galleria degli Uffizi, Florence)';
catalog['Piero della Francesca, The Baptism of Christ'] = 'Piero della Francesca, The Baptism of Christ';
catalog['Piero della Francesca, The Baptism of Christ, 1450s, tempera on wood, 167 x 116 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Piero della Francesca, The Baptism of Christ, 1450s, tempera on wood, 167 x 116 cm (National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Pierre Auguste Renoir, La Loge, 1874, oil on canvas, 31 1/2 x 24 5/8 in. (80 x 63.5 cm)\n(Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel S. Ropeik\n\nThis painting was exhibited by Renoir at the first Impressionist exhibition in Paris (1874).'] = 'Pierre Auguste Renoir, La Loge, 1874, oil on canvas, 31 1/2 x 24 5/8 in. (80 x 63.5 cm)\n(Courtauld Gallery, London)\n\nSpeakers: Dr. Beth Harris, Rachel S. Ropeik\n\nThis painting was exhibited by Renoir at the first Impressionist exhibition in Paris (1874).';
catalog['Pierre Le Gros the Younger, Stanislas Kostka on His Deathbed, 1703, upstairs at Bernini\'s Sant\'Andrea al Quirinale\n\nSpeakers: Frank Dabbell, Beth Harris and Steven Zucker \n\nA Smarthistory.org video'] = 'Pierre Le Gros the Younger, Stanislas Kostka on His Deathbed, 1703, upstairs at Bernini\'s Sant\'Andrea al Quirinale\n\nSpeakers: Frank Dabbell, Beth Harris and Steven Zucker \n\nA Smarthistory.org video';
catalog['Pierre Le Gros the Younger, Stanislas Kostka on his Deathbed'] = 'Pierre Le Gros the Younger, Stanislas Kostka on his Deathbed';
catalog['Pierre-Auguste Renoir, Moulin de la Galette, 1876, oil on canvas, 51 1/2 x 68 7/8 in. (131 x 175 cm), (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Pierre-Auguste Renoir, Moulin de la Galette, 1876, oil on canvas, 51 1/2 x 68 7/8 in. (131 x 175 cm), (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Pierre-Auguste Renoir, The Grands Boulevards, 1875, oil on canvas, 20-1/2 x 25 inches / 52.1 x 63.5 cm (Philadelphia Museum of Art)'] = 'Pierre-Auguste Renoir, The Grands Boulevards, 1875, oil on canvas, 20-1/2 x 25 inches / 52.1 x 63.5 cm (Philadelphia Museum of Art)';
catalog['Pierre-Auguste Renoir, The Large Bathers, 1884-87, oil on canvas, 46-3/8 x 67-1/4 inches / 117.8 x 170.8 cm (Philadelphia Museum of Art)'] = 'Pierre-Auguste Renoir, The Large Bathers, 1884-87, oil on canvas, 46-3/8 x 67-1/4 inches / 117.8 x 170.8 cm (Philadelphia Museum of Art)';
catalog['Piet Mondrian, Composition No. II, with Red and Blue, oil on canvas, 1929 (original date partly obliterated; mistakenly repainted 1925 by Mondrian). Oil on canvas, 15 7/8 x 12 5/8" (40.3 x 32.1 cm) (The Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Piet Mondrian, Composition No. II, with Red and Blue, oil on canvas, 1929 (original date partly obliterated; mistakenly repainted 1925 by Mondrian). Oil on canvas, 15 7/8 x 12 5/8" (40.3 x 32.1 cm) (The Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Pieter Bruegel the Elder, Hunters in the Snow (Winter), 1565'] = 'Pieter Bruegel the Elder, Hunters in the Snow (Winter), 1565';
catalog['Pieter Bruegel the Elder, Hunters in the Snow (Winter), 1565, oil on wood, 1620 x 1170 cm (Kunsthistorisches Museum, Vienna),&nbsp;Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris'] = 'Pieter Bruegel the Elder, Hunters in the Snow (Winter), 1565, oil on wood, 1620 x 1170 cm (Kunsthistorisches Museum, Vienna),&nbsp;Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris';
catalog['Pieter Bruegel the Elder, The Dutch Proverbs, 1559, oil on oak, 117 x 163 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin)'] = 'Pieter Bruegel the Elder, The Dutch Proverbs, 1559, oil on oak, 117 x 163 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin)';
catalog['Pieter Bruegel the Elder, The Tower of Babel, 1563, oil on panel, 114 \u00d7 155 cm (Kunsthistorisches Museum, Vienna). In the Google Art Project: http://www.googleartproject.com/collection/kunsthistorisches-museum-vienna-museum-of-fine-arts/artwork/the-tower-of-babel-pieter-bruegel-the-elder/807533/'] = 'Pieter Bruegel the Elder, The Tower of Babel, 1563, oil on panel, 114 \u00d7 155 cm (Kunsthistorisches Museum, Vienna). In the Google Art Project: http://www.googleartproject.com/collection/kunsthistorisches-museum-vienna-museum-of-fine-arts/artwork/the-tower-of-babel-pieter-bruegel-the-elder/807533/';
catalog['Pieter Bruegel the Elder\'s Peasant Wedding, c. 1566-69'] = 'Pieter Bruegel the Elder\'s Peasant Wedding, c. 1566-69';
catalog['Pieter Saenredam\'s paintings of Utrecht churches'] = 'Pieter Saenredam\'s paintings of Utrecht churches';
catalog['Pietro Cavallini, The Last Judgement'] = 'Pietro Cavallini, The Last Judgement';
catalog['Pietro Cavallini, The Last Judgement, c.1293, fresco, Santa Cecilia, Rome\n\nThis fresco was discovered in 1900 and represents one of the few works by Cavallini to survive.'] = 'Pietro Cavallini, The Last Judgement, c.1293, fresco, Santa Cecilia, Rome\n\nThis fresco was discovered in 1900 and represents one of the few works by Cavallini to survive.';
catalog['Pietro Lorenzetti, Birth of the Virgin, c. 1342'] = 'Pietro Lorenzetti, Birth of the Virgin, c. 1342';
catalog['Pietro Lorenzetti, Birth of the Virgin, c. 1342, tempera on panel, 6 feet, 1 inch x 5 feet, 11 inches, for the altar of St. Savinus, Siena Cathedral (now in Museo dell\'Opera del Duomo, Siena)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris'] = 'Pietro Lorenzetti, Birth of the Virgin, c. 1342, tempera on panel, 6 feet, 1 inch x 5 feet, 11 inches, for the altar of St. Savinus, Siena Cathedral (now in Museo dell\'Opera del Duomo, Siena)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris';
catalog['Ping pong ball launcher introduction'] = 'Einf\u00fchrung Tischtennisball-Kanone';
catalog['Pith ball electroscope'] = 'Pith ball electroscope';
catalog['Place Value 1'] = 'Die Wertigkeit der Stelle 1';
catalog['Place Value 2'] = 'Die Wertigkeit der Stelle 2';
catalog['Place Value 3'] = 'Die Wertigkeit der Stelle 3';
catalog['Place value 1'] = 'Stellenwert 1';
catalog['Place value 2'] = 'Stellenwert 2';
catalog['Place value 3'] = 'Stellenwert 3';
catalog['Place value and decimals'] = 'Stellenwert und Dezimalzahlen';
catalog['Place value and patterns'] = 'Stellenwert und Muster';
catalog['Place value and rounding'] = 'Stellenwert und Rundung';
catalog['Place value example with 25'] = 'Beispiel: Stellenwert f\u00fcr 25';
catalog['Place value relationships example'] = 'Relation von Stellenwerten - Beispiel';
catalog['Place value'] = 'Der Stellenwert';
catalog['Plan and teach with Khan Academy (higher education math)'] = 'Plan and teach with Khan Academy (higher education math)';
catalog['Planning and propulsion'] = 'Planning and propulsion';
catalog['Plant cells'] = 'Pflanzenzellen';
catalog['Planting crops and raising livestock meant that people didn\'t have to move around to follow their food. They could stay in one place, build things to last, and for some, not worry about food every day.'] = 'Planting crops and raising livestock meant that people didn\'t have to move around to follow their food. They could stay in one place, build things to last, and for some, not worry about food every day.';
catalog['Plate Tectonics -- Evidence of plate movement'] = 'Plattentektonik -- Beweise der Plattenbewegungen';
catalog['Plate Tectonics -- Geological Features of Divergent Plate Boundaries'] = 'Plattentektonik--Geologische Besonderheiten der auseinander driftenden Plattengrenzen';
catalog['Plate Tectonics Introduction and Difference between crust and lithosphere'] = 'Einf\u00fchrung in die Plattentektonik und der Unterschied zwischen Kruste und Lithosp\u00e4hre';
catalog['Plate tectonics'] = 'Plattentektonik';
catalog['Plate tectonics: Difference between crust and lithosphere'] = 'Plate tectonics: Difference between crust and lithosphere';
catalog['Plate tectonics: Evidence of plate movement'] = 'Plate tectonics: Evidence of plate movement';
catalog['Plate tectonics: Geological features of convergent plate boundaries'] = 'Plate tectonics: Geological features of convergent plate boundaries';
catalog['Plate tectonics: Geological features of divergent plate boundaries'] = 'Plate tectonics: Geological features of divergent plate boundaries';
catalog['Plates Moving Due to Convection in Mantle'] = 'Plattenbewegung aufgrund von Konvektion im Erdmantel';
catalog['Plates moving due to convection in mantle'] = 'Plates moving due to convection in mantle';
catalog['Playing mathematically with fruits by the foot.\nMobius Story, Wind and Mr. Ug: http://www.youtube.com/watch?v=4mdEsouIXGM\nMobius Candy buttons: http://www.youtube.com/watch?v=OOLIB3cjFqw\nMobius Music box: http://www.youtube.com/watch?v=3iMI_uOM_fY\n\nDoodling Snakes + Graphs (Useful for drawing Borromean rings): http://youtu.be/heKK95DAKms'] = 'Playing mathematically with fruits by the foot.\nMobius Story, Wind and Mr. Ug: http://www.youtube.com/watch?v=4mdEsouIXGM\nMobius Candy buttons: http://www.youtube.com/watch?v=OOLIB3cjFqw\nMobius Music box: http://www.youtube.com/watch?v=3iMI_uOM_fY\n\nDoodling Snakes + Graphs (Useful for drawing Borromean rings): http://youtu.be/heKK95DAKms';
catalog['Playing mathematically with strips!'] = 'Mathematisch mit Streifen spielen!';
catalog['Playing with the formula for variance of a population.'] = 'Wir spielen mit der Formel f\u00fcr die Varianz einer Grundgesamtheit.';
catalog['Please <a href="%(registration_url)s">login to the central server and register this device in a sharing network.'] = 'Please <a href="%(registration_url)s">login to the central server and register this device in a sharing network.';
catalog['Please choose a group to move users to'] = 'Please choose a group to move users to';
catalog['Please contact a teacher or administrator to receive login information to this installation.'] = 'Please contact a teacher or administrator to receive login information to this installation.';
catalog['Please describe the facilities in more detail, to catch anything not covered above.'] = 'Please describe the facilities in more detail, to catch anything not covered above.';
catalog['Please enter the following information about your facility. Please enter a detailed address, because knowing where you are in the world allows us to better plan for future deployments and partnerships.'] = 'Bitte folgende Informationen bzgl. Deiner Einrichtung eingeben. Bitte eine genaue Adresse angeben da wir k\u00fcnftige Projekte und Partnerschaften besser planen k\u00f6nnen, wenn wir wissen wo Du auf der Welt bist.';
catalog['Please enter your new password twice so we can verify you typed it in correctly.'] = 'Please enter your new password twice so we can verify you typed it in correctly.';
catalog['Please enter your old password, for security\'s sake, and then enter your new password twice so we can verify you typed it in correctly.'] = 'Please enter your old password, for security\'s sake, and then enter your new password twice so we can verify you typed it in correctly.';
catalog['Please excuse the simple math and spelling errors. You shouldn\'t believe anything I say without double-checking even at the best of times.\n\nGo here: http://tauday.com/\nand here: http://www.math.utah.edu/~palais/pi.html\n\nMe: http://vihart.com'] = 'Bitte entschuldigen Sie einfache mathematische und Rechtschreibfehler. Sie sollten nicht alles glauben, was ich sage ohne es selbst zu kontrollieren.\n\nSchauen Sie hier: http://tauday.com/ \nund hier: http://www.math.utah.edu/~palais/pi.html \n\nMeine Website: http://vihart.com';
catalog['Please go to the following page and choose a new password:'] = 'Please go to the following page and choose a new password:';
catalog['Please note that this is the central server; you cannot log in here using your local server\'s account information.'] = 'Please note that this is the central server; you cannot log in here using your local server\'s account information.';
catalog['Please return to this page after watching videos or practicing exercises.'] = 'Please return to this page after watching videos or practicing exercises.';
catalog['Please select a facility'] = 'Please select a facility';
catalog['Please select a group above.'] = 'Please select a group above.';
catalog['Please select a topic above.'] = 'Please select a topic above.';
catalog['Please select users first'] = 'Please select users first';
catalog['Please select videos to download (below)'] = 'Bitte Videos zum herunterladen ausw\u00e4hlen (siehe unten).';
catalog['Please send a copy of this support request to the email address above.'] = 'Please send a copy of this support request to the email address above.';
catalog['Please specify an IP (as a GET param).'] = 'Please specify an IP (as a GET param).';
catalog['Please use the form below to add a facility.'] = 'Bitte das untenstehende Formular benutzen, um eine Einrichtung hinzuf\u00fcgen.';
catalog['Please use this search box to locate your facility (and/or click on the map to select a spot), and then enter the additional information in the form below.'] = 'Bitte dieses Suchfeld benutzen, um Deine Einrichtung zu finden (und / oder auf die Karte klicken, um eine Stelle zu w\u00e4hlen), und dann die zus\u00e4tzlichen Informationen in das unten stehende Formular eingeben.';
catalog['Plot a given point on the coordinate plane.'] = 'Trage einen gegebenen Punkt in das Koordinatensystem ein.';
catalog['Plot complex numbers on the complex plane.'] = 'Darstellung von komplexen Zahlen auf der komplexen Ebene.';
catalog['Plot ordered pairs'] = 'Zeichnen von Koordinatenpunkten';
catalog['Plotting (x,y) relationships'] = 'Darstellung von (x,y)-Relationen';
catalog['Plotting basic fractions on the number line'] = 'Einfache Br\u00fcche auf der Zahlengerade einzeichnen';
catalog['Plotting complex numbers on the complex plane'] = 'Plotten von komplexen Zahlen auf der komplexen Ebene';
catalog['Plotting inequalities on a number line'] = 'Eintragen von Ungleichungen auf eine Zahlengerade';
catalog['Plotting maxima, minima and midline intersections of trig function'] = 'Plotting maxima, minima and midline intersections of trig function';
catalog['Plotting points of logarithmic function'] = 'Punkte der logarithmischen Funktion darstellen';
catalog['Plotting projectile displacement, acceleration, and velocity as a function to change in time'] = 'Plotting projectile displacement, acceleration, and velocity as a function to change in time';
catalog['Plotting projectile displacement, acceleration, and velocity'] = 'Plotting projectile displacement, acceleration, and velocity';
catalog['Plotting the marginal revenue curve for a monopolist'] = 'Plotting the marginal revenue curve for a monopolist';
catalog['Poetry meets art: George the Poet inspired by Paul Graham'] = 'Poetry meets art: George the Poet inspired by Paul Graham';
catalog['Poetry meets art: John Hegley inspired by CRW Nevinson'] = 'Poetry meets art: John Hegley inspired by CRW Nevinson';
catalog['Poetry meets art: Scroobius Pip inspired by the Chapman Brothers'] = 'Poetry meets art: Scroobius Pip inspired by the Chapman Brothers';
catalog['Point Nine Repeating Equals One!\n9.999... reasons in 9.999... minutes.\n\nBonus points if you can name all 9.999... lords a-leaping.\n\nDear YouTube, wouldn\'t it be nice if I could include the full script with this video? A larger character limit would not be unreasonable.'] = 'Point Nine Repeating Equals One!\n9.999... reasons in 9.999... minutes.\n\nBonus points if you can name all 9.999... lords a-leaping.\n\nDear YouTube, wouldn\'t it be nice if I could include the full script with this video? A larger character limit would not be unreasonable.';
catalog['Point distance to plane'] = 'Abstand eins Punktes zu einer Ebene';
catalog['Point slope form'] = 'Punktsteigungsformel';
catalog['Point-line distance and angle bisectors'] = 'Point-line distance and angle bisectors';
catalog['Point-slope and standard form'] = 'Punkt-Steigung und Standard Form';
catalog['Point-slope form and standard form'] = 'Punkt-Steigungs-Form und Standard-Form';
catalog['Points earned while watching a video (750 max / video).'] = 'Points earned while watching a video (750 max / video).';
catalog['Points on a number line'] = 'Punkte auf einem Zahlenstrahl';
catalog['Points on the coordinate plane'] = 'Punkte im Koordinatensystem';
catalog['Points'] = 'Punkte';
catalog['Points, lines, and planes'] = 'Punkte, Geraden und Ebenen';
catalog['Poisson process 1'] = 'Poisson-Prozess 1';
catalog['Poisson process 2'] = 'Poisson-Prozess 2';
catalog['Poisson process'] = 'Poisson process';
catalog['Polar coordinates 1'] = 'Polarkoordinaten 1';
catalog['Polar coordinates 2'] = 'Polarkoordinaten 2';
catalog['Polar coordinates 3'] = 'Polarkoordinaten 3';
catalog['Polar coordinates'] = 'Polarkoordinaten';
catalog['Polling sensors'] = 'Polling sensors';
catalog['Pollock\'s One: Number 31, 1950'] = 'Pollock\'s One: Number 31, 1950';
catalog['Pollution'] = 'Verschmutzung';
catalog['Polyalphabetic cipher'] = 'Polyalphabetische Chiffrierung';
catalog['Polygons in the coordinate plane'] = 'Vielecke im Koordinatensystem';
catalog['Polygons on the coordinate plane'] = 'Vielecke im Koordinatensystem';
catalog['Polykleitos, Doryphoros (Spear-Bearer), Early Classical Period, Roman marble copy after a Greek bronze original from c. 450-440 B.C.E. (Museo Archaeologico Nazionale, Naples). Speakers: Dr. Beth Harris &amp; Dr. Steven Zucker'] = 'Polykleitos, Doryphoros (Spear-Bearer), Early Classical Period, Roman marble copy after a Greek bronze original from c. 450-440 B.C.E. (Museo Archaeologico Nazionale, Naples). Speakers: Dr. Beth Harris &amp; Dr. Steven Zucker';
catalog['Polynomial Division'] = 'Polynomdivision';
catalog['Polynomial and rational functions'] = 'Polynomische und rationale Funktionen';
catalog['Polynomial approximation of functions (part 1)'] = 'N\u00e4herungspolynom f\u00fcr Funktionen (Teil 1)';
catalog['Polynomial approximation of functions (part 2)'] = 'N\u00e4herungspolynom f\u00fcr Funktionen (Teil 2)';
catalog['Polynomial approximation of functions (part 4)'] = 'N\u00e4herungspolynom f\u00fcr Funktionen (Teil 4)';
catalog['Polynomial approximation of functions (part 6)'] = 'N\u00e4herungspolynom f\u00fcr Funktionen (Teil 6)';
catalog['Polynomial approximation of functions (part 7)'] = 'N\u00e4herungspolynom f\u00fcr Funktionen (Teil 7)';
catalog['Polynomial approximations of functions (part 5)'] = 'N\u00e4herungspolynome f\u00fcr Funktionen (Teil 5)';
catalog['Polynomial basics'] = 'Polynome - Grundlagen';
catalog['Polynomial divided by monomial'] = 'Polynomial divided by monomial';
catalog['Polynomial division'] = 'Polynomdivision';
catalog['Polynomial end behavior example'] = 'Polynomisches Verhalten im Unendlichen - Beispiel';
catalog['Polynomial end behavior exercise example'] = 'Polynomisches Verhalten im Unendlichen - \u00dcbungsbeispiel';
catalog['Polynomial end behavior'] = 'Polynomisches Verhalten im Unendlichen';
catalog['Polynomial graphs and end behavior'] = 'Graphen von Polynomen und Verhalten im Unendlichen';
catalog['Polynomial identities'] = 'Polynomial identities';
catalog['Polynomial remainder theorem to determine coefficient example'] = 'Polynomial remainder theorem to determine coefficient example';
catalog['Polynomials 2'] = 'Polynome 2';
catalog['Pontormo, Entombment (or Deposition from the Cross), oil on panel, 1525-28 (Capponi Chapel, Santa Felicita, Florence) Speakers: Dr. Steven Zucker, Dr. Beth Harris'] = 'Pontormo, Entombment (or Deposition from the Cross), oil on panel, 1525-28 (Capponi Chapel, Santa Felicita, Florence) Speakers: Dr. Steven Zucker, Dr. Beth Harris';
catalog['Pontormo, The Entombment of Christ'] = 'Pontormo, The Entombment of Christ';
catalog['Ponzi Schemes'] = 'Pyramidensysteme';
catalog['Ponzi schemes'] = 'Ponzi schemes';
catalog['Pop & After'] = 'Pop & After';
catalog['Pop and after'] = 'Pop and after';
catalog['Population ecology: The Texas mosquito mystery'] = 'Populations\u00f6kologie: Das Texas Moskito Geheimnis';
catalog['Population genetics: When Darwin met Mendel'] = 'Populationsgenetik: Darwin traf Mendel';
catalog['Population standard deviation'] = 'Standardabweichung der Grundgesamtheit';
catalog['Portrait head of Queen Tiye with a crown of two feathers'] = 'Portrait head of Queen Tiye with a crown of two feathers';
catalog['Portraits by August Sander discussed:\nPastry Cook, gelatin silver print, 1928\nSecretary at a Radio Station, Cologne, gelatin silver print, c. 1931\nDisabled Man, gelatin silver print, 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Beth Harris, Dr. Steven Zucker'] = 'Portraits by August Sander discussed:\nPastry Cook, gelatin silver print, 1928\nSecretary at a Radio Station, Cologne, gelatin silver print, c. 1931\nDisabled Man, gelatin silver print, 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Beth Harris, Dr. Steven Zucker';
catalog['Position and slope of particle\'s path at a given time'] = 'Position and slope of particle\'s path at a given time';
catalog['Position vector functions and derivatives'] = 'Position vector functions and derivatives';
catalog['Position vector valued functions'] = 'Position vector valued functions';
catalog['Positive and negative charges are everywhere in orgo!  In this tutorial, Jay shows you how to assign formal charges to molecules and how to draw resonance structures.'] = 'Positive and negative charges are everywhere in orgo!  In this tutorial, Jay shows you how to assign formal charges to molecules and how to draw resonance structures.';
catalog['Positive and negative decimals on a number line'] = 'Positive und negative Dezimalzahlen auf einer Zahlengerade';
catalog['Positive and negative effects of China\'s devaluing of their currency'] = 'Positive and negative effects of China\'s devaluing of their currency';
catalog['Positive and negative exponents'] = 'Positive und negative Exponenten';
catalog['Positive and negative numbers'] = 'Positive und negative Zahlen';
catalog['Positive and negative parts of functions'] = 'Positive und negative Bereiche von Funktionen';
catalog['Positive and zero exponents of integers'] = 'Positive und Null-Exponenten von ganzen Zahlen';
catalog['Positive and zero exponents'] = 'Null und positive Zahlen als Exponenten';
catalog['Positive exponents with positive and negative bases'] = 'Positive Exponenten mit positiver und negativer Basis';
catalog['Positive externalities'] = 'Positive externalities';
catalog['Positive improper fractions on the number line'] = 'Positive unechte Br\u00fcche auf der Zahlengerade';
catalog['Possible angles for an isosceles triangle'] = 'Possible angles for an isosceles triangle';
catalog['Possible number of real roots'] = 'M\u00f6gliche Anzahl der reellen Wurzeln';
catalog['Possible transformations example'] = 'Possible transformations example';
catalog['Post-Impressionism'] = 'Post-Impressionism';
catalog['Post-transcriptional regulation'] = 'Post-transcriptional regulation';
catalog['Post-translational modifications'] = 'Post-translational modifications';
catalog['Postmodernism'] = 'Postmodernism';
catalog['Postwar figure'] = 'Postwar figure';
catalog['Potassium-argon (K-Ar) dating'] = 'Potassium-argon (K-Ar) dating';
catalog['Potential energy stored in a spring'] = 'Potential energy stored in a spring';
catalog['Pounds or ounces to measure weight'] = 'Pfund oder Unzen um Gewicht zu messen';
catalog['Poussin, Landscape with St. John'] = 'Poussin, Landscape with St. John';
catalog['Power connector for the Arduino'] = 'Power connector for the Arduino';
catalog['Power rule introduction'] = 'Power rule introduction';
catalog['Power rule'] = 'Potenz-Regel';
catalog['Power series function representation using algebra'] = 'Power series function representation using algebra';
catalog['Power series radius and interval of convergence'] = 'Power series radius and interval of convergence';
catalog['Power series representation using integration'] = 'Power series representation using integration';
catalog['Power wires and on/off switch'] = 'Power wires and on/off switch';
catalog['Power'] = 'Power';
catalog['Powers of 1 and  -1'] = 'Potenzen von 1 und -1';
catalog['Powers of 10'] = 'Zehnerpotenzen';
catalog['Powers of Ten takes us on an adventure in magnitudes.'] = 'Powers of Ten takes us on an adventure in magnitudes.';
catalog['Powers of Ten\u2122 (1977)'] = 'Powers of Ten\u2122 (1977)';
catalog['Powers of complex numbers'] = 'Potenzen komplexer Zahlen';
catalog['Powers of fractions'] = 'Potenzen von Br\u00fcchen';
catalog['Powers of zero'] = 'Potenzen von Null';
catalog['Pozzo, Glorification of Saint Ignatius, Sant\'Ignazio'] = 'Pozzo, Glorification of Saint Ignatius, Sant\'Ignazio';
catalog['Pozzo, Saint Ignatius Chapel, Il Ges\u00f9, 1695'] = 'Pozzo, Saint Ignatius Chapel, Il Ges\u00f9, 1695';
catalog['Practice Lessons'] = 'Practice Lessons';
catalog['Practice a couple of word problems with multiplication and division.  Take your time, write down the question and go step by step. Your dashboard can take you through some easier practice exercises if you need some review.'] = 'Practice a couple of word problems with multiplication and division.  Take your time, write down the question and go step by step. Your dashboard can take you through some easier practice exercises if you need some review.';
catalog['Practice and feedback'] = 'Practice and feedback';
catalog['Practice balancing chemical equations'] = '\u00dcbe, Reaktionsgleichungen auszugleichen';
catalog['Practice determining oxidation states'] = 'Practice determining oxidation states';
catalog['Practice solving systems of equations through simple elimination (exercise at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )'] = '\u00dcbungen zur L\u00f6sung von Gleichungssystemen durch einfache Elimination (\u00dcbung siehe  http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_elimination_0.5 )';
catalog['Practice these exercises to brush up on what getting squared is all about.'] = 'Practice these exercises to brush up on what getting squared is all about.';
catalog['Practice thinking about number of solutions to systems'] = 'Wenn du \u00fcbst, denk an die Anzahl von L\u00f6sungen f\u00fcr Gleichungssysteme';
catalog['Practice thinking more visually by rotating, scaling, and shifting polygons.'] = 'Practice thinking more visually by rotating, scaling, and shifting polygons.';
catalog['Practice this concept'] = 'Konzept \u00fcben';
catalog['Practice using substitution for systems'] = '\u00dcbungen zu Substitution von Gleichungssystemen';
catalog['Practice using the modulo operator'] = 'Practice using the modulo operator';
catalog['Practice your math skills from addition to calculus and everything in between.'] = 'Mathematischen F\u00e4higkeiten \u00fcben, von Addition bis Analysis und alles was dazwischen liegt.';
catalog['Practice'] = '\u00dcben';
catalog['Practicing'] = '\u00dcbe gerade';
catalog['Pre-Columbian cup'] = 'Pre-Columbian cup';
catalog['Pre-Raphaelites'] = 'Pre-Raphaelites';
catalog['Pre-capillary sphincters'] = 'Pre-capillary sphincters';
catalog['Precalculus'] = 'Vorkenntnisse f\u00fcr Analysis';
catalog['Precession causing perihelion to happen later'] = 'Precession causing perihelion to happen later';
catalog['Precocious puberty'] = 'Precocious puberty';
catalog['Prehistoric art quiz'] = 'Prehistoric art quiz';
catalog['Prehistoric'] = 'Prehistoric';
catalog['Prehistory: Proto-writing'] = 'Prehistory: Proto-writing';
catalog['Preimage and kernel example'] = 'Preimage and kernel example';
catalog['Preimage of a set'] = 'Preimage of a set';
catalog['Preload and Afterload'] = 'Vorlast und Nachlast';
catalog['Preload and afterload'] = 'Vorlast und Nachlast';
catalog['Preload and pressure'] = 'Preload and pressure';
catalog['Preload stretches out the heart cells'] = 'Preload stretches out the heart cells';
catalog['Preparation for holidays'] = 'Preparation for holidays';
catalog['Preparation of acid anhydrides'] = 'Preparation of acid anhydrides';
catalog['Preparation of acyl (acid) chlorides'] = 'Preparation of acyl (acid) chlorides';
catalog['Preparation of alcohols using LiAlH4'] = 'Preparation of alcohols using LiAlH4';
catalog['Preparation of alcohols using NaBH4'] = 'Preparation of alcohols using NaBH4';
catalog['Preparation of alkyl halides from alcohols'] = 'Darstellung von Halogenalkanen aus Alkoholen';
catalog['Preparation of alkynes'] = 'Darstellung von Alkinen';
catalog['Preparation of amides using DCC'] = 'Preparation of amides using DCC';
catalog['Preparation of epoxides: Stereochemistry'] = 'Preparation of epoxides: Stereochemistry';
catalog['Preparation of esters via Fischer esterification'] = 'Preparation of esters via Fischer esterification';
catalog['Preparation of mesylates and tosylates'] = 'Preparation of mesylates and tosylates';
catalog['Preparation of sulfides'] = 'Darstellung von Sulfiden';
catalog['Preparing an Ancient Egyptian papyrus for an exhibition at the British Museum'] = 'Preparing an Ancient Egyptian papyrus for an exhibition at the British Museum';
catalog['Preparing for landing'] = 'Preparing for landing';
catalog['Preparing pieces of papyrus ready for display in the exhibition Journey through the afterlife: ancient Egyptian Book of the Dead.'] = 'Preparing pieces of papyrus ready for display in the exhibition Journey through the afterlife: ancient Egyptian Book of the Dead.';
catalog['Preparing students for success'] = 'Preparing students for success';
catalog['Present value 2'] = 'Present value 2';
catalog['Present value 3'] = 'Present value 3';
catalog['Present value 4 (and discounted cash flow)'] = 'Present value 4 (and discounted cash flow)';
catalog['Present value'] = 'Gegenwartswert (Barwert)';
catalog['Presentation and analysis of the famous Monty Hall Problem'] = 'Pr\u00e4sentation und Analyse des ber\u00fchmten Monty Hall Problems';
catalog['Pressure Volume Loops'] = 'Druckvolumenschleifen';
catalog['Pressure and Pascal\'s Principal.'] = 'Pressure and Pascal\'s Principal.';
catalog['Pressure and the simple mercury barometer'] = 'Pressure and the simple mercury barometer';
catalog['Pressure in a fluid at depth'] = 'Pressure in a fluid at depth';
catalog['Pressure in the left heart - part 1'] = 'Pressure in the left heart - part 1';
catalog['Pressure in the left heart - part 2'] = 'Pressure in the left heart - part 2';
catalog['Pressure in the left heart - part 3'] = 'Pressure in the left heart - part 3';
catalog['Pressure volume loops'] = 'Pressure volume loops';
catalog['Preventing TB transmission'] = 'Preventing TB transmission';
catalog['Preventing TB using the "4 I\'s"'] = 'Preventing TB using the "4 I\'s"';
catalog['Preview of the calculus topic of limits'] = 'Vorbereitung des Analysis-Themas: Grenzwert';
catalog['Price and market capitalization'] = 'Price and market capitalization';
catalog['Price behavior after announced acquisition'] = 'Price behavior after announced acquisition';
catalog['Price discrimination'] = 'Preisdiskriminierung';
catalog['Price elasticity of demand and supply.  How sensitive are things to change in price.'] = 'Preiselastizit\u00e4t der Nachfrage und des Angebots.  Wie empfindlich Dinge auf eine Ver\u00e4nderung im Preis reagieren.';
catalog['Price elasticity of demand'] = 'Die Preiselastizit\u00e4t der Nachfrage';
catalog['Price elasticity'] = 'Preiselastizit\u00e4t';
catalog['Price of one good impacting quantity demanded of another'] = 'Price of one good impacting quantity demanded of another';
catalog['Price of related products and demand'] = 'Price of related products and demand';
catalog['Price to Earnings Ration (or P/E ratio).'] = 'Kurs-Gewinn-Verh\u00e4ltnis (oder KGV).';
catalog['Prices don\'t always go up.  Sometimes they go down (we call this deflation).  This tutorial explains how this happens.'] = 'Prices don\'t always go up.  Sometimes they go down (we call this deflation).  This tutorial explains how this happens.';
catalog['Prices don\'t always go up.  They often go down.  This might seem like a good thing, but it could be disastrous for a modern economy is it goes too far.  This tutorial explains what deflation is, how it happens and what the effects of it might be.'] = 'Preise steigen nicht immer. Manchmal fallen sie. Das mag auf den ersten Blick gut erscheinen, aber es kann f\u00fcr eine moderne Wirtschaft katastrophale Folgen haben wenn es zu weit geht. Dieses Tutorial erkl\u00e4rt was Deflation ist, wie sie entsteht und was f\u00fcr Effekte sie haben kann.';
catalog['Primality Test'] = 'Primzahltest';
catalog['Primality test challenge'] = 'Die Herausforderung des Primzahltests';
catalog['Primality test with sieve'] = 'Primzahltest mit einem Sieb';
catalog['Primality test'] = 'Primzahltest';
catalog['Primaries and caucuses'] = 'Primaries and caucuses';
catalog['Primary and Secondary TB'] = 'Primary and Secondary TB';
catalog['Prime Factorization'] = 'Primfaktorzerlegung';
catalog['Prime and composite numbers'] = 'Primzahlen und zusammengesetzte Zahlen';
catalog['Prime factorization exercise'] = '\u00dcbung zur Primfaktorzerlegung';
catalog['Prime factorization'] = 'Primfaktorenzerlegung';
catalog['Prime numbers have been studied by mathematicians and mystics for ages (seriously).  They are both basic and mysterious.  The more you explore them, the more you will realize that the universe is a fascinating place.  This tutorial will introduce you to the magical world of prime numbers.'] = 'Primzahlen wurde \u00fcber Jahrtausende hinweg von vielen Mathematikern und Mystikern erforscht (kein Scherz).  Sie sind gleichzeitig wichtig und mysteri\u00f6s. Je mehr du \u00fcber sie entdeckst, desto mehr begreifst du wie faszinierend das Universum ist. Dieses Tutorial wird dir das Tor zur magischen Welt der Primzahlen \u00f6ffnen.';
catalog['Prime numbers have been studied by mathematicians and mystics for ages (seriously). They are both basic and mysterious. The more you explore them, the more you will realize that the universe is a fascinating place. This tutorial will introduce you to the magical world of prime numbers.\n\nCommon Core Standard: 4.OA.B.4'] = 'Primzahlen werden von Mathematikern und Mystikern seit Ewigkeiten studiert (ernsthaft). Sie sind sowohl grundlegend als auch mysteri\u00f6s. Je mehr man sie erforscht, um so mehr wird einem bewusst, dass das Universum ein faszinierender Ort ist. Dieses Tutorial f\u00fchrt dich in die magische Welt der Primzahlen ein.\n\nCommon Core Standard: 4.OA.B.4';
catalog['Prime numbers'] = 'Primzahlen';
catalog['Primer on identifying balanced and unbalanced forces'] = 'Primer on identifying balanced and unbalanced forces';
catalog['Primitive device for measuring electrostatic force'] = 'Primitive device for measuring electrostatic force';
catalog['Principles of bioenergetics - Passage 1'] = 'Principles of bioenergetics - Passage 1';
catalog['Principles of bioenergetics - Passage 2'] = 'Principles of bioenergetics - Passage 2';
catalog['Principles of bioenergetics'] = 'Principles of bioenergetics';
catalog['Print Report'] = 'Print Report';
catalog['Printmaking'] = 'Kunstdruck';
catalog['Prisoners\' dilemma and Nash equilibrium'] = 'Prisoners\' dilemma and Nash equilibrium';
catalog['Private equity firms often borrow money (use leverage) to buy companies.  This tutorial explains how they do it and pay the debt.'] = 'Private-Equity-Firmen leihen oft Geld (indem sie den Leverage-Effekt ausnutzen) um Unternehmen zu kaufen. Dieses Tutorial erkl\u00e4rt wie sie das machen und wie sie ihre Schulden abbezahlen.';
catalog['Private health insurance'] = 'Private health insurance';
catalog['Probability (part 1)'] = 'Wahrscheinlichkeit (Teil 1)';
catalog['Probability (part 2)'] = 'Wahrscheinlichkeit (Teil 2)';
catalog['Probability (part 3)'] = 'Wahrscheinlichkeit (Teil 3)';
catalog['Probability (part 4)'] = 'Wahrscheinlichkeit (Teil 4)';
catalog['Probability (part 5)'] = 'Wahrscheinlichkeit (Teil 5)';
catalog['Probability (part 6)'] = 'Wahrscheinlichkeit (Teil 6)';
catalog['Probability (part 7)'] = 'Wahrscheinlichkeit (Teil 7)';
catalog['Probability (part 8)'] = 'Wahrscheinlichkeit (Teil 8)';
catalog['Probability 1'] = 'Wahrscheinlichkeitsrechnung 1';
catalog['Probability and combinations (part 2)'] = 'Wahrscheinlichkeit und Kombinationen (Teil 2)';
catalog['Probability and combinatorics'] = 'Wahrscheinlichkeit und Kombinatorik';
catalog['Probability and statistics'] = 'Wahrscheinlichkeitsrechnung und Statistik';
catalog['Probability density functions for continuous random variables.'] = 'Wahrscheinlichkeitsfunktion f\u00fcr stetige Zufallsvariable.';
catalog['Probability density functions'] = 'Wahrscheinlichkeitsfunktion';
catalog['Probability models examples'] = 'Wahrscheinlichkeits-Modelle - Beispiele';
catalog['Probability models'] = 'Wahrscheinlichkeits-Modelle';
catalog['Probability of compound events.  The Addition Rule.  Common Core Standard 457 S-CP.7'] = 'Wahrscheinlichkeit f\u00fcr abh\u00e4ngige Ereignisse.  Der Additionssatz.  Common Core Standard 457 S-CP.7';
catalog['Probability of exactly 3 heads in 5 flips using combinations'] = 'Wahrscheinlichkeit f\u00fcr genau 3 Mal Kopf bei 5 M\u00fcnzw\u00fcrfen unter Verwendung von Kombinationen';
catalog['Probability of getting a certain number roll in Monopoly'] = 'Wahrscheinlichkeit, dass man bei Monopoly eine bestimmte Zahl w\u00fcrfelt';
catalog['Probability of getting a set of cards'] = 'Wahrscheinlichkeit eine Menge von Karten zu erhalten';
catalog['Probability of getting at least one heads in multiple flips of a fair coin'] = 'Wahrscheinlichkeit, dass bei mehrmaligem Werfen einer fairen M\u00fcnze zumindest einmal Kopf kommt';
catalog['Probability of getting exactly 3 heads in 8 flips of a fair coin.'] = 'Wahrscheinlichkeit, bei 8 Mal eine faire M\u00fcnze werfen genau 3 Mal Kopf zu erhalten.';
catalog['Probability of moving to a vertex'] = 'Wahrscheinlichkeit, sich auf einen Gipfel zu bewegen';
catalog['Probability of particular sequences of flips'] = 'Wahrscheinlichkeit f\u00fcr eine bestimmte Reihenfolge von Kopf oder Zahl';
catalog['Probability of two independent events occuring.'] = 'Wahrscheinlichkeit von zwei unabh\u00e4ngigen Ereignissen.';
catalog['Probability of winning the Mega Millions jackpot'] = 'Wahrscheinlichkeit den Mega Millions Jackpot zu gewinnen';
catalog['Probability questions using permutations and combinations of objects'] = 'Probability questions using permutations and combinations of objects';
catalog['Probability space exercise example'] = 'Wahrscheinlichkeitsraum \u00dcbungsbeispiel';
catalog['Probability space'] = 'Wahrscheinlichkeitsraum';
catalog['Probability that I picked a fair coin given that I flipped 4 out of 6 heads.'] = 'Probability that I picked a fair coin given that I flipped 4 out of 6 heads.';
catalog['Probability using combinations'] = 'Probability using combinations';
catalog['Probability using combinatorics'] = 'Wahrscheinlichkeitstheorie benutzt Kombinatorik';
catalog['Probability warmups'] = 'Probability warmups';
catalog['Probability with permutations and combinations'] = 'Wahrscheinlichkeit mit Permutationen und Kombinationen';
catalog['Probability with playing cards and Venn diagrams'] = 'Wahrscheinlichkeit mit Spielkarten und Venn-Diagrammen';
catalog['Probably one of the most famous tools in mathematics, the quadratic formula (a.k.a. quadratic equation) helps you think about the roots of ANY quadratic (even ones that have no real roots)!  As you\'ll see, it is just the by-product of completing the square, but understanding and applying the formula will take your algebra skills to new heights.\n\nIn theory, one could apply the quadratic formula in a brainless way without understanding factoring or completing the square, but that\'s lame and uninteresting.  We recommend coming to this tutorial with a solid background in both of those techniques.  Have fun!'] = 'Wahrscheinlich eines der bekanntesten Werkzeuge in der Mathematik ist die quadratische Gleichung. Sie hilft dir, \u00fcber die Wurzeln jedes Quadrats nachzudenken (auch solche, die keine echten Wurzeln haben)!  Wie du siehst, ist es nur das Nebenprodukt der Vollendung des Quadrats. Aber das  Verst\u00e4ndnis und die Anwendung der Formel bringt deine Algebra-F\u00e4higkeiten nach vorne.\n\nIn der Theorie, eine k\u00f6nnte man die Quadratformel auch hirnlos anwenden, ohne Faktorenzerlegung oder Vervollst\u00e4ndigung des Quadrats, aber das ist lahm und uninteressant.  Wir empfehlen zu diesem Tutorial einen soliden Hintergrund in beiden Techniken.  Viel Spass!';
catalog['Problem involving angle derived from square and circle'] = 'Problem involving angle derived from square and circle';
catalog['Problem of Points 2'] = 'Problem of Points 2';
catalog['Problem of Points'] = 'Problem of Points';
catalog['Problem solving'] = 'Probleml\u00f6sung';
catalog['Problem that requires us to figure out the area of an equilateral triangle inscribed in a circle (A little trigonometry used)'] = 'Problem that requires us to figure out the area of an equilateral triangle inscribed in a circle (A little trigonometry used)';
catalog['Problems from prestigious American middle and high school competitions'] = 'Aufgaben von renommierten amerikanischen High-School Wettbewerben';
catalog['Process art'] = 'Process art';
catalog['Processing the environment'] = 'Processing the environment';
catalog['Producer surplus'] = 'Producer surplus';
catalog['Product and quotient rules'] = 'Produkt- und Quotientenregeln';
catalog['Product of Functions'] = 'Produkt von Funktionen';
catalog['Product of functions'] = 'Produkt von Funktionen';
catalog['Product rule for more than two functions'] = 'Product rule for more than two functions';
catalog['Product rule'] = 'Produktregel';
catalog['Production decisions and economic profit'] = 'Produktionsentscheidungen und \u00f6konomischer Gewinn';
catalog['Production of religious imagery declined in northern Europe, and nonreligious genres, such as landscape, still life, genre, history, mythology, and portraiture, developed and flourished. In the south, there was an increase in the production of political propaganda, religious imagery, and pageantry, with the elaboration of naturalism, dynamic compositions, bold color schemes, and the affective power of images and constructed spaces. Production of religious imagery declined in northern Europe, and nonreligious genres, such as landscape, still life, genre, history, mythology, and portraiture, developed and flourished. In the south, there was an increase in the production of political propaganda, religious imagery, and pageantry, with the elaboration of naturalism, dynamic compositions, bold color schemes, and the affective power of images and constructed spaces.\n\nBy permission, \u00a9 2013 The College Board'] = 'Production of religious imagery declined in northern Europe, and nonreligious genres, such as landscape, still life, genre, history, mythology, and portraiture, developed and flourished. In the south, there was an increase in the production of political propaganda, religious imagery, and pageantry, with the elaboration of naturalism, dynamic compositions, bold color schemes, and the affective power of images and constructed spaces. Production of religious imagery declined in northern Europe, and nonreligious genres, such as landscape, still life, genre, history, mythology, and portraiture, developed and flourished. In the south, there was an increase in the production of political propaganda, religious imagery, and pageantry, with the elaboration of naturalism, dynamic compositions, bold color schemes, and the affective power of images and constructed spaces.\n\nBy permission, \u00a9 2013 The College Board';
catalog['Production possibilities frontier'] = 'Production possibilities frontier';
catalog['Products and exponents raised to an exponent properties'] = 'Regeln f\u00fcr Produkte und Exponenten hoch einem Exponenten';
catalog['Professional antigen presenting cells (APC) and MHC II complexes'] = 'Professional antigen presenting cells (APC) and MHC II complexes';
catalog['Programming basics'] = 'Programming basics';
catalog['Progress by topic'] = 'Progress by topic';
catalog['Progress not loaded.'] = 'Progress not loaded.';
catalog['Projectile Launcher'] = 'Projectile Launcher';
catalog['Projectile at an angle'] = 'Projectile at an angle';
catalog['Projectile height given time'] = 'Projectile height given time';
catalog['Projectile launcher'] = 'Projectile launcher';
catalog['Projectile motion (part 1)'] = 'Projectile motion (part 1)';
catalog['Projectile motion (part 2)'] = 'Projectile motion (part 2)';
catalog['Projectile motion (part 3)'] = 'Projectile motion (part 3)';
catalog['Projectile motion (part 4)'] = 'Projectile motion (part 4)';
catalog['Projectile motion (part 5)'] = 'Projectile motion (part 5)';
catalog['Projectile motion with ordered set notation'] = 'Projectile motion with ordered set notation';
catalog['Projectile motion, mechanics and electricity and magnetism.  Solid understanding of algebra and a basic understanding of trigonometry necessary.'] = 'Flugbahnen, Mechanik, Elektrizit\u00e4t und Magnetismus. Gute Kenntnisse in Algebra und Grundkenntnisse in Trigonometrie sind notwendig.';
catalog['Projectile on an incline'] = 'Projectile on an incline';
catalog['Projection is closest vector in subspace'] = 'Projection is closest vector in subspace';
catalog['Projections onto subspaces with orthonormal bases'] = 'Projections onto subspaces with orthonormal bases';
catalog['Projections onto subspaces'] = 'Projections onto subspaces';
catalog['Proof (Part 1) Minimizing Squared Error to Regression Line'] = 'Beweis (Teil 1) Minimieren des quadratischen Fehlers der Regressionsgeraden';
catalog['Proof (Part 3) Minimizing Squared Error to Regression Line'] = 'Beweis (Teil 3) Minimieren des quadratischen Fehlers der Regressionsgeraden';
catalog['Proof (Part 4) Minimizing Squared Error to Regression Line'] = 'Beweis (Teil 4) Minimieren des quadratischen Fehlers der Regressionsgeraden';
catalog['Proof (advanced): Field from infinite plate (part 1)'] = 'Proof (advanced): Field from infinite plate (part 1)';
catalog['Proof (advanced): Field from infinite plate (part 2)'] = 'Proof (advanced): Field from infinite plate (part 2)';
catalog['Proof (part 1) minimizing squared error to regression line'] = 'Beweis (Teil 1) Minimieren des quadratischen Fehlers der Regressionsgeraden';
catalog['Proof (part 2) minimizing squared error to regression line'] = 'Beweis (Teil 2) Minimieren des quadratischen Fehlers der Regressionsgeraden';
catalog['Proof (part 3) minimizing squared error to regression line'] = 'Beweis (Teil 3) Minimieren des quadratischen Fehlers der Regressionsgeraden';
catalog['Proof (part 4) minimizing squared error to regression line'] = 'Beweis (Teil 4) Minimieren des quadratischen Fehlers der Regressionsgeraden';
catalog['Proof Part 2 Minimizing Squared Error to Line'] = 'Beweis (Teil 2) Minimieren des quadratischen Fehlers der Regressionsgeraden';
catalog['Proof by contradiction that corresponding angle equivalence implies parallel lines'] = 'Proof by contradiction that corresponding angle equivalence implies parallel lines';
catalog['Proof by induction is a core tool.  This tutorial walks you through the general idea that if 1) something is true for a base case (say when n=1) and 2) if it is true for n, then it is also true for n+1, then it must be true for all n!  Amazing!'] = 'Beweis durch Induktion ist eine  n\u00fctzliche Strategie. Dieses Tutorial bringt Dir diese wichtige Strategie bei, die auf Folgen anwendbar ist: \n1) Wenn etwas wahr ist f\u00fcr den grundlegenden Fall (nenne wir ihn n=1) und \n2) Wenn man zeigen kann, dass es f\u00fcr n+1 wahr ist, wenn es f\u00fcr n stimmt,\ndann ist es f\u00fcr alle n wahr. Toll! Findest Du nicht?';
catalog['Proof by induction that transposing a matrix does not change its determinant'] = 'Proof by induction that transposing a matrix does not change its determinant';
catalog['Proof by induction'] = 'Beweis durch Induktion';
catalog['Proof of Quadratic Formula'] = 'Beweis der quadratische L\u00f6sungsformel';
catalog['Proof of Stokes\' theorem'] = 'Beweis des Satz von Stokes';
catalog['Proof of angle addition formula for cosine'] = 'Proof of angle addition formula for cosine';
catalog['Proof of angle addition formula for sine'] = 'Proof of angle addition formula for sine';
catalog['Proof of formula for determining Eigenvalues'] = 'Proof of formula for determining Eigenvalues';
catalog['Proof of formula for determining eigenvalues'] = 'Proof of formula for determining eigenvalues';
catalog['Proof of fundamental theorem of calculus'] = 'Proof of fundamental theorem of calculus';
catalog['Proof of quadratic formula'] = 'Beweis der quadratische L\u00f6sungsformel';
catalog['Proof of special case of l\'H\u00f4pital\'s rule'] = 'Proof of special case of l\'H\u00f4pital\'s rule';
catalog['Proof of the Cauchy-Schwarz Inequality'] = 'Beweis der Cauchy-Schwarz-Ungleichung';
catalog['Proof of the Cauchy-Schwarz inequality'] = 'Proof of the Cauchy-Schwarz inequality';
catalog['Proof of the Lagrange Error Bound (the bound of the error)'] = 'Proof of the Lagrange Error Bound (the bound of the error)';
catalog['Proof of the Pythagorean Theorem using similarity'] = 'Beweis f\u00fcr den Satz des Pythagoras mit Hilfe von \u00c4hnlichkeit';
catalog['Proof of the formula relating the area of a triangle to its circumradius'] = 'Proof of the formula relating the area of a triangle to its circumradius';
catalog['Proof of the hyperbola foci formula'] = 'Beweis f\u00fcr Formel zu Brennpunkten einer Hyperbeln';
catalog['Proof of the law of cosines to solve for a side of a triangle when 2 sides and an angle are known.'] = 'Beweis des Kosinussatzes, um eine Seite eines Dreiecks zu ermitteln, wenn 2 Seiten und ein Winkel bekannt sind.';
catalog['Proof of the law of cosines'] = 'Beweis des Kosinussatzes';
catalog['Proof of the logarithm property: log a + log b = log ab'] = 'Beweis der Logarithmuseigenschaft: log a + log b = log ab';
catalog['Proof of the volume ratios in a Carnot Cycle'] = 'Proof of the volume ratios in a Carnot Cycle';
catalog['Proof that S (or entropy) is a valid state variable.'] = 'Proof that S (or entropy) is a valid state variable.';
catalog['Proof that d/dx (x^.5) = .5x^(-.5)'] = 'Beweis dass d/dx (x^\u00bd) = \u00bdx^(-\u00bd)';
catalog['Proof that d/dx(x^n) = n*x^(n-1)'] = 'Beweis dass d/dx(x^n) = n*x^(n-1)';
catalog['Proof that rational times irrational is irrational'] = 'Beweis, dass rational mal irrational irrational ist';
catalog['Proof that square root of 2 is irrational'] = 'Beweis, dass die Quadratwurzel von 2 irrational ist';
catalog['Proof that square root of prime number is irrational'] = 'Beweis, dass die Quadratwurzel einer Primzahl irrational ist';
catalog['Proof that sum of rational and irrational is irrational'] = 'Beweis, dass die Summe aus rational und irrational irrational ist';
catalog['Proof that the derivative of e^x is e^x.'] = 'Beweis, dass e^x abgeleitet e^x ist.';
catalog['Proof that the diagonals of a rhombus are perpendicular bisectors of each other'] = 'Beweis, dass die Diagonalen einer Raute senkrecht aufeinander stehen und einander halbieren';
catalog['Proof that the sum of the measures of the angles in a triangle are 180'] = 'Beweise, dass die Summe der Winkel in einem Dreieck 180\u00b0 ist';
catalog['Proof that there is an irrational number between any two rational numbers'] = 'Beweis, dass zwischen zwei beliebigen rationalen Zahlen einen irrationale Zahl liegt';
catalog['Proof: Any subspace basis has same number of elements'] = 'Proof: Any subspace basis has same number of elements';
catalog['Proof: Bounding the error or remainder of a taylor polynomial approximation'] = 'Proof: Bounding the error or remainder of a taylor polynomial approximation';
catalog['Proof: Corresponding angle equivalence implies parallel lines'] = 'Proof: Corresponding angle equivalence implies parallel lines';
catalog['Proof: Diagonals of a parallelogram bisect each other'] = 'Proof: Diagonals of a parallelogram bisect each other';
catalog['Proof: Hyperbola foci'] = 'Beweis: Hyperbel Brennpunkte';
catalog['Proof: Invertibility implies a unique solution to f(x)=y for all y in co-domain of f.'] = 'Proof: Invertibility implies a unique solution to f(x)=y for all y in co-domain of f.';
catalog['Proof: Invertibility implies a unique solution to f(x)=y'] = 'Proof: Invertibility implies a unique solution to f(x)=y';
catalog['Proof: Law of sines'] = 'Beweis: Sinussatz';
catalog['Proof: Opposite angles of parallelogram congruent'] = 'Proof: Opposite angles of parallelogram congruent';
catalog['Proof: Opposite sides of parallelogram congruent'] = 'Beweis: Gegen\u00fcber liegende Seiten des Parallelogramm deckungsgleich';
catalog['Proof: Relationship between cross product and sin of angle'] = 'Proof: Relationship between cross product and sin of angle';
catalog['Proof: Relationship between the  cross product and sin of angle between vectors'] = 'Proof: Relationship between the  cross product and sin of angle between vectors';
catalog['Proof: Rhombus area half product of diagonal length'] = 'Proof: Rhombus area half product of diagonal length';
catalog['Proof: Rhombus diagonals are perpendicular bisectors'] = 'Proof: Rhombus diagonals are perpendicular bisectors';
catalog['Proof: S (or entropy) is a valid state variable'] = 'Proof: S (or entropy) is a valid state variable';
catalog['Proof: Sum of measures of angles in a triangle are 180'] = 'Beweis: Die Summe der Ma\u00dfe der Winkel eines Dreiecks betragen 180\u00b0';
catalog['Proof: Triangle altitudes are concurrent (orthocenter)'] = 'Proof: Triangle altitudes are concurrent (orthocenter)';
catalog['Proof: U = (3/2)PV or U = (3/2)nRT'] = 'Proof: U = (3/2)PV or U = (3/2)nRT';
catalog['Proof: Vertical angles are equal'] = 'Proof: Vertical angles are equal';
catalog['Proof: Volume ratios in a carnot cycle'] = 'Proof: Volume ratios in a carnot cycle';
catalog['Proof: a log b = log(b^a), log a - log b = log(a/b)'] = 'Beweis:  Log b = log(b^a), Log a - Log b = log(a/b)';
catalog['Proof: d/dx(e^x) = e^x'] = 'Beweis: d/dx(e^x) = e^x';
catalog['Proof: d/dx(ln x) = 1/x'] = 'Beweis: Ableitung von ln x = 1/x';
catalog['Proof: d/dx(sqrt(x))'] = 'Beweis: d/dx(sqrt(x))';
catalog['Proof: d/dx(x^n)'] = 'Beweis: d/dx(x^n)';
catalog['Proof: lim (sin x)/x'] = 'Beweis: lim (sin x)/x';
catalog['Proof: log a + log b = log ab'] = 'Beweis: log a + log b = log ab';
catalog['Proofs of derivatives of common functions'] = 'Beweis der Ableitungen der gew\u00f6hnlichen Funktionen';
catalog['Proofs of derivatives of ln(x) and e^x'] = 'Beweise der Ableitungen von ln(x) und e^x';
catalog['Proofs of the logarithm properties: A(log B) = log (B^A) and log A - log B = log (A/B)'] = 'Beweise f\u00fcr die Logarithmus-Eigenschaften: A(log B) = log (B^A) und log A \u2013 log B = log (A/B)';
catalog['Proper and Improper Fractions'] = 'Echte und unechte Br\u00fcche';
catalog['Proper and improper fractions'] = 'Echte und unechte Br\u00fcche';
catalog['Properties and features of functions'] = 'Eigenschaften und Merkmale von Funktionen';
catalog['Properties and patterns for multiplication'] = 'Eigenschaften und Regeln bei der Multiplikation';
catalog['Properties and patterns in arithmetic'] = 'Eigenschaften und Muster in der Arithmetik';
catalog['Properties of alcohols'] = 'Properties of alcohols';
catalog['Properties of alkali, alkaline earth and transition metals.  Halogens and noble gases.'] = 'Eigenschaften der \u00dcbergangsmetalle, Alkali- und Erdalkalimetalle.  Halogene und Edelgase.';
catalog['Properties of ethers and crown ethers'] = 'Eigenschaften von Ethern und Kronenethern';
catalog['Properties of exponents'] = 'Properties of exponents';
catalog['Properties of integer exponents'] = 'Gesetze zu ganzzahligen Exponenten';
catalog['Properties of matrix multiplication'] = 'Properties of matrix multiplication';
catalog['Properties of multiplication 1'] = 'Eigenschaften der Multiplikation 1';
catalog['Properties of multiplication 2'] = 'Eigenschaften der Multiplikation 2';
catalog['Properties of numbers 1'] = 'Eigenschaften der Zahlen 1';
catalog['Properties of numbers 2'] = 'Eigenschaften der Zahlen 2';
catalog['Properties of numbers'] = 'Eigenschaften von Zahlen';
catalog['Properties of rigid transformations'] = 'Eigenschaften von starren Transformationen';
catalog['Properties of shapes'] = 'Eigenschaften von Formen';
catalog['Properties of the Laplace transform'] = 'Eigenschaften der Laplace-Transformation';
catalog['Proportion validity example'] = 'G\u00fcltigkeit von Verh\u00e4ltnissen - Beispiel';
catalog['Proportional relationships'] = 'Proportionalit\u00e4t';
catalog['Proportionality Constant for Direct Variation'] = 'Proportionalit\u00e4tskonstante f\u00fcr direkte Variation';
catalog['Proportionality constant for direct variation'] = 'Proportionalit\u00e4tskonstante f\u00fcr direkte Variation';
catalog['Proportions 1'] = 'Proportionen 1';
catalog['Proportions 2 exercise examples'] = 'Proportionen 2 \u00dcbungsbeispiele';
catalog['Proportions 2'] = 'Proportionen 2';
catalog['Proprioception and kinesthesia'] = 'Proprioception and kinesthesia';
catalog['Pros and Cons of various banking systems.  More on gold.'] = 'Pros and Cons of various banking systems.  More on gold.';
catalog['Protecting art in an earthquake: seismic isolator technology'] = 'Protecting art in an earthquake: seismic isolator technology';
catalog['Protection of alcohols'] = 'Protection of alcohols';
catalog['Protein translation'] = 'Protein translation';
catalog['Proteins - Passage 1'] = 'Proteins - Passage 1';
catalog['Proteins - Passage 2'] = 'Proteins - Passage 2';
catalog['Proteins'] = 'Proteine';
catalog['Protestant Reformation and Catholic Counter-Reformation (3-5)'] = 'Protestant Reformation and Catholic Counter-Reformation (3-5)';
catalog['Protestant Reformation quiz'] = 'Protestant Reformation quiz';
catalog['Protestant Reformation'] = 'Protestant Reformation';
catalog['Protestant reformation and Catholic counter-reformation (3-5)'] = 'Protestant reformation and Catholic counter-reformation (3-5)';
catalog['Prototype board'] = 'Prototype board';
catalog['Providing the motivation for definition of matrix products'] = 'Providing the motivation for definition of matrix products';
catalog['Proving a limit using epsilon-delta definition'] = 'Eine Schranke mit der Epsilon-Delta Definition beweisen';
catalog['Proving a sequence converges'] = 'Beweis f\u00fcr Konvergenz einer Folge';
catalog['Proving an expression for the sum of all positive integers up to and including n by induction'] = 'Induktiver Beweis eines Ausdrucks f\u00fcr die Summe aller positiven ganzen Zahlen';
catalog['Proving properties of triangles'] = 'Proving properties of triangles';
catalog['Proving that a = v^2/r'] = 'Proving that a = v^2/r';
catalog['Proving that a Carnot Engine is the most efficient engine'] = 'Proving that a Carnot Engine is the most efficient engine';
catalog['Proving that a figure is a parallelogram if and only if opposite sides are congruent'] = 'Beweis, dass eine Figur ein Parallelogramm ist, wenn und nur wenn die gegen\u00fcber liegenden Seiten deckungsgleich sind';
catalog['Proving that a point is the midpoint via triangle congruency'] = 'Proving that a point is the midpoint via triangle congruency';
catalog['Proving that a quadrilateral is a parallelogram if and only if its diagonals bisect each other'] = 'Beweis, dass ein Viereck nur dann ein Parallelogramm ist, wenn die Diagonalen einander halbieren';
catalog['Proving that the area of any triangle is 1/2 b x h'] = 'Beweis, dass die Fl\u00e4che jedes Dreiecks 1/2 b x h ist';
catalog['Proving that the centroid is 2-3rds along the median'] = 'Proving that the centroid is 2-3rds along the median';
catalog['Proving that the diagonals of a rhombus are perpendicular'] = 'Proving that the diagonals of a rhombus are perpendicular';
catalog['Proving that vertical angles are equal'] = 'Proving that vertical angles are equal';
catalog['Proving the "associative", "distributive" and "commutative" properties for vector dot products.'] = 'Proving the "associative", "distributive" and "commutative" properties for vector dot products.';
catalog['Proving the ratios between the sides of a 30-60-90 triangle'] = 'Proving the ratios between the sides of a 30-60-90 triangle';
catalog['Proving the somewhat mystical result that the circumcenter, centroid and orthocenter'] = 'Proving the somewhat mystical result that the circumcenter, centroid and orthocenter';
catalog['Proving the triangle inequality  for vectors in Rn'] = 'Proving the triangle inequality  for vectors in Rn';
catalog['Proving vector dot product properties'] = 'Proving vector dot product properties';
catalog['Proving whether a special quadrilateral can exist'] = 'Proving whether a special quadrilateral can exist';
catalog['Pseudorandom number generators'] = 'Pseudozufallszahlen-Generatoren';
catalog['Psychoanalytic theory'] = 'Psychoanalytic theory';
catalog['Psychology'] = 'Psychologie';
catalog['Ptolemaic: Rosetta Stone'] = 'Ptolemaic: Rosetta Stone';
catalog['Public goods and externalities'] = 'Public goods and externalities';
catalog['Public key cryptography: What is it?'] = 'Public-Key-Kryptosystem: Was ist das?';
catalog['Public vs. Private Equity.  Why people buy equity to begin with.'] = 'Public vs. Private Equity.  Why people buy equity to begin with.';
catalog['Pulmonary TB'] = 'Pulmonary TB';
catalog['Punnett square fun'] = 'Punnett square fun';
catalog['Put Payoff Diagram'] = 'Put Payoff Diagram';
catalog['Put Writer Payoff Diagrams'] = 'Put Writer Payoff Diagrams';
catalog['Put and call options'] = 'Put und Call-Optionen';
catalog['Put as Insurance'] = 'Put as Insurance';
catalog['Put as insurance'] = 'Put as insurance';
catalog['Put negative integers in order'] = 'Ordne negative Zahlen';
catalog['Put payoff diagram'] = 'Put payoff diagram';
catalog['Put simply and confusingly, logarithms are inverse operators to exponents (just as subtraction to addition or division to multiplication). This section will help you evaluate and apply more complex math.'] = 'Put simply and confusingly, logarithms are inverse operators to exponents (just as subtraction to addition or division to multiplication). This section will help you evaluate and apply more complex math.';
catalog['Put together'] = 'Zusammenbringen';
catalog['Put vs. Short and Leverage'] = 'Put vs. Short and Leverage';
catalog['Put vs. short and leverage'] = 'Put vs. short and leverage';
catalog['Put writer payoff diagrams'] = 'Put writer payoff diagrams';
catalog['Put-Call Parity Arbitrage I'] = 'Put-Call Parity Arbitrage I';
catalog['Put-Call Parity Arbitrage II'] = 'Put-Call Parity Arbitrage II';
catalog['Put-Call Parity Clarification'] = 'Put-Call Parity Clarification';
catalog['Put-Call Parity'] = 'Put-Call Parity';
catalog['Put-call parity arbitrage I'] = 'Put-call parity arbitrage I';
catalog['Put-call parity arbitrage II'] = 'Put-call parity arbitrage II';
catalog['Put-call parity clarification'] = 'Put-call parity clarification';
catalog['Put-call parity'] = 'Put-call parity';
catalog['Putting it all together!'] = 'Setzen wir alles zusammen!';
catalog['Putting it all together: Pressure, flow, and resistance'] = 'Putting it all together: Pressure, flow, and resistance';
catalog['Putting out bowls of potpurri'] = 'Schalen mit Potpurri aufstellen';
catalog['Putting the right hardware and infrastructure in place'] = 'Putting the right hardware and infrastructure in place';
catalog['Pv-diagrams and expansion work'] = 'Pv-diagrams and expansion work';
catalog['Pythagoras had a problem with beans and irrationality. What really happened? I don\'t know! The square root of two is irrational, and beans are delicious.'] = 'Pythagoras hatte ein Problem mit Bohnen und Irrationalit\u00e4t. Was wirklich geschah? Ich weiss es nicht! Die Quadratwurzel aus 2 ist irrational und Bohnen sind k\u00f6stlich.';
catalog['Pythagoras, snakes, fractals, snowflakes...'] = 'Pythagoras, Schlangen, Fraktale, Schneeflocken...';
catalog['Pythagorean Theorem 1'] = 'Satz des Pythagoras - Teil 1';
catalog['Pythagorean Theorem 2'] = 'Pythagoras 2';
catalog['Pythagorean Theorem 3'] = 'Pythagoras 3';
catalog['Pythagorean Theorem Proofs'] = 'Beweise f\u00fcr den Satz des Pythagoras';
catalog['Pythagorean Theorem proofs'] = 'Pythagorean Theorem proofs';
catalog['Pythagorean Theorem'] = 'Der Satz des Pythagoras';
catalog['Pythagorean identities'] = 'Pythagoras und Identit\u00e4ten von WInkelfunktionen';
catalog['Pythagorean identity'] = 'Pythagorean identity';
catalog['Pythagorean theorem 1'] = 'Der Satz des Pythagoras 1';
catalog['Pythagorean theorem 2'] = 'Der Satz des Pythagoras 2';
catalog['Pythagorean theorem 3'] = 'Der Satz des Pythagoras 3';
catalog['Pythagorean theorem II'] = 'Der Satz des Pythagoras II';
catalog['Pythagorean theorem and radii of circles'] = 'Pythagorean theorem and radii of circles';
catalog['Pythagorean theorem and the equation of a circle'] = 'Der Satz von Pythagoras und die Kreisgleichung';
catalog['Pythagorean theorem proof using similarity'] = 'Beweis f\u00fcr den Satz des Pythagoras mit \u00c4hnlichkeiten';
catalog['Pythagorean theorem proofs'] = 'Beweise des Satzes des Pythagoras';
catalog['Pythagorean theorem'] = 'Satz des Pythagoras';
catalog['Pythagorean trig identity from soh cah toa'] = 'Trigonometrischer Pythagoras von soh-cah-toa';
catalog['Pythagorean trig identity from unit circle'] = 'Trigonometrischer Pythagoras vom Einheitskreis';
catalog['Python 3 not backwards compatible with python 2'] = 'Python 3 not backwards compatible with python 2';
catalog['Python Programming'] = 'Python-Programmierung';
catalog['Python lists'] = 'Python lists';
catalog['Q: How do I bulk-download videos?'] = 'Q: How do I bulk-download videos?';
catalog['Quadrants of Coordinate Plane'] = 'Quadranten des Koordinatensystems';
catalog['Quadrants of coordinate plane'] = 'Quadranten des Koordinatensystems';
catalog['Quadratic Equations in Standard Form'] = 'Quadratische Gleichungen in Standardform';
catalog['Quadratic Formula 1'] = 'Mitternachtsformel 1';
catalog['Quadratic Formula 2'] = 'Quadratische Formeln';
catalog['Quadratic Formula 3'] = 'Mitternachtsformel 3';
catalog['Quadratic equation part 2'] = 'Quadratische Gleichung Teil 2';
catalog['Quadratic equations'] = 'Quadratische Gleichungen';
catalog['Quadratic formula (proof)'] = 'Quadratische Formeln (Beweis)';
catalog['Quadratic formula with complex solutions'] = 'Quadratic formula with complex solutions';
catalog['Quadratic inequalities (visual explanation)'] = 'Quadratische Ungleichungen (visuell erkl\u00e4rt)';
catalog['Quadratic inequalities'] = 'Quadratische Ungleichungen';
catalog['Quadratic inequality example 2'] = 'Quadratische Ungleichung - Beispiel 2';
catalog['Quadratic inequality example'] = 'Quadratische Ungleichung - Beispiel';
catalog['Quadratic inequality word problem'] = 'Quadratische Ungleichung Textaufgabe';
catalog['Quadratic odds and ends'] = 'Quadratische Reste';
catalog['Quadrilateral Properties'] = 'Eigenschaften von Vierecken';
catalog['Quadrilateral angles'] = 'Winkel von Vierecken';
catalog['Quadrilateral overview'] = '\u00dcbersicht Vierecke';
catalog['Quadrilateral properties'] = 'Eigenschaften von Vierecken';
catalog['Quadrilateral similarity by showing congruent angles'] = 'Quadrilateral similarity by showing congruent angles';
catalog['Quadrilateral types exercise'] = 'Arten von Vierecken - \u00dcbung';
catalog['Quadrilateral types'] = 'Arten von Vierecken';
catalog['Quadrilaterals '] = 'Quadrilaterals ';
catalog['Quadrilaterals'] = 'Vierecke';
catalog['Qualitatively defining rigid transformations'] = 'Definition von qualitativ starren Transformationen';
catalog['Quantifying the value of the put option'] = 'Quantifying the value of the put option';
catalog['Quantitative easing'] = 'Quantitative easing';
catalog['Quantitatively defining rigid transformations'] = 'Definition von qualitativ starren Transformationen';
catalog['Quarrying and Carving Marble Speakers: Dr. Beth Harris, Dr. David Drogin http://smarthistory.org/carving-marble.html'] = 'Quarrying and Carving Marble Speakers: Dr. Beth Harris, Dr. David Drogin http://smarthistory.org/carving-marble.html';
catalog['Quarrying and carving marble'] = 'Quarrying and carving marble';
catalog['Quasar Correction'] = 'Quasar Correction';
catalog['Quasar correction'] = 'Quasar correction';
catalog['Quasars and galactive collisions'] = 'Quasare und galaktische Zusammenst\u00f6\u00dfe';
catalog['Quasars are the brightest objects in the universe.  The gamma rays from them could sterilize a solar system (i.e. obliterate life).  What do we think these objects are?  Why don\'t we see any close by (which we should be thankful for)?  Could they tell us what our own galaxy may have been like 1 billion or so years ago?'] = 'Quasare sind die hellsten Objekte im Universum. Ihre Gammastrahlen k\u00f6nnten ein ganzes Sonnensystem sterilisieren ( z.B. das Leben ausl\u00f6schen). Welches Wissen haben wir \u00fcber diese Objekte? Warum sehen wir keine in unserer N\u00e4he (wor\u00fcber wir dankbar sein sollten)? Sagen sie uns etwas \u00fcber den Zustand der Milchstra\u00dfe vor etwa 1 Milliarde Jahren?';
catalog['Quasars'] = 'Quasare';
catalog['Quasistatic and reversible processes'] = 'Quasistatic and reversible processes';
catalog['Questions About the Big Bang'] = 'Questions About the Big Bang';
catalog['Questions about Mussolini and Fascism during the 1920s and 1930s'] = 'Questions about Mussolini and Fascism during the 1920s and 1930s';
catalog['Questions from Superinteressante (8-22-2011)'] = 'Fragen von Superinteressante (22.08.2011)';
catalog['Questions from previous IIT JEEs'] = 'Fragen aus fr\u00fcheren IIT JEE Pr\u00fcfungen';
catalog['Questions on the US Declaration of Independence'] = 'Questions on the US Declaration of Independence';
catalog['Quiz 1.0'] = 'Quiz 1.0';
catalog['Quiz 1.1'] = 'Quiz 1.1';
catalog['Quiz 1.2'] = 'Quiz 1.2';
catalog['Quiz 1.3'] = 'Quiz 1.3';
catalog['Quiz 1.4'] = 'Quiz 1.4';
catalog['Quiz 1.5'] = 'Quiz 1.5';
catalog['Quiz 10'] = 'Quiz 10';
catalog['Quiz 3'] = 'Quiz 3';
catalog['Quiz 4'] = 'Quiz 4';
catalog['Quiz 5'] = 'Quiz 5';
catalog['Quiz 6'] = 'Quiz 6';
catalog['Quiz 7'] = 'Quiz 7';
catalog['Quiz 8'] = 'Quiz 8';
catalog['Quiz 9'] = 'Quiz 9';
catalog['Quiz: Variables'] = 'Quiz: Variables';
catalog['Quiz: While Loops'] = 'Quiz: While Loops';
catalog['Quiz\u2014Complexity and Thresholds'] = 'Quiz\u2014Complexity and Thresholds';
catalog['Quiz\u2014Origin Stories'] = 'Quiz\u2014Origin Stories';
catalog['Quiz\u2014Ways of Knowing'] = 'Quiz\u2014Ways of Knowing';
catalog['Quiz\u2014Welcome to the Big History'] = 'Quiz\u2014Welcome to the Big History';
catalog['Quiz\u2014What Is Big History'] = 'Quiz\u2014What Is Big History';
catalog['Quotient of functions and factoring by grouping'] = 'Der Quotient von Funktionen und Faktorisierung durch Ausklammern';
catalog['Quotient of functions'] = 'Quotient von Funktionen';
catalog['Quotient rule and common derivatives'] = 'Quotienten Regel und allgemeine Ableitungen';
catalog['Quotient rule for derivative of tan x'] = 'Quotienten-Regel f\u00fcr die Ableitung von tan x';
catalog['Quotient rule from product rule'] = 'Quotient rule from product rule';
catalog['Quotient rule'] = 'Quotientenregel';
catalog['R,S (Cahn-Ingold-Prelog) Naming System Example 2'] = 'R,S (Cahn-Ingold-Prelog) Naming System Example 2';
catalog['R,S (Cahn-Ingold-Prelog) naming system example 2'] = 'R,S (Cahn-Ingold-Prelog) naming system example 2';
catalog['R,S system for cyclic compounds'] = 'R,S-System f\u00fcr zyklische Verbindungen';
catalog['R,S system for determining absolute configuration'] = 'R,S system for determining absolute configuration';
catalog['R-Squared or Coefficient of Determination'] = 'Methode der kleinsten Quadrate oder Bestimmtheitsma\u00df';
catalog['R-squared or coefficient of determination'] = 'Methode der kleinsten Quadrate oder Bestimmtheitsma\u00df';
catalog['ROA discussion 1'] = 'ROA discussion 1';
catalog['ROA discussion 2'] = 'ROA discussion 2';
catalog['RSA Encryption (step 3)'] = 'RSA-Verschl\u00fcsselung (Schritt 3)';
catalog['RSA encryption: Step 1'] = 'RSA-Verschl\u00fcsselung: Schritt 1';
catalog['RSA encryption: Step 2'] = 'RSA-Verschl\u00fcsselung: Schritt 2';
catalog['RSA encryption: Step 3'] = 'RSA-Verschl\u00fcsselung: Schritt 3';
catalog['RSA encryption: Step 4'] = 'RSA-Verschl\u00fcsselung: Schritt 4';
catalog['RSA worked example'] = 'RSA Arbeitsbeispiel';
catalog['Race cars with constant speed around curve'] = 'Race cars with constant speed around curve';
catalog['Radian and degree conversion practice'] = 'Praxis in der Umwandlung von Radiant und Grad';
catalog['Radians and arc length'] = 'Radians and arc length';
catalog['Radians and degrees'] = 'Bogenma\u00df und Grad';
catalog['Radians'] = 'Radien';
catalog['Radical Equivalent to Rational Exponents 2'] = '\u00c4quivalente Wurzel zu gebrochenem Exponenten 2';
catalog['Radical Equivalent to Rational Exponents'] = '\u00c4quivalente Wurzel zu gebrochenem Exponenten';
catalog['Radical Expressions with Higher Roots'] = 'Wurzelausdr\u00fccke mit h\u00f6heren Wurzeln';
catalog['Radical equations'] = 'Wurzelgleichungen';
catalog['Radical equivalent to rational exponents 2'] = '\u00c4quivalente Wurzel zu gebrochenem Exponenten 2';
catalog['Radical equivalent to rational exponents'] = '\u00c4quivalente Wurzel zu gebrochenem Exponenten';
catalog['Radical expressions with higher roots'] = 'Wurzelausdr\u00fccke mit h\u00f6heren Wurzeln';
catalog['Radio Interview: Sal Khan on Brian Lehrer (Oct 4, 2012)'] = 'Radio-Interview: Sal Khan bei Brian Lehrer (4. Oktober 2012)';
catalog['Radio Interview: Sal Khan on Diane Rehm (Oct 3, 2012)'] = 'Radio-Interview: Sal Khan bei Diane Rehm (3. Oktober 2012)';
catalog['Radio Interview: Sal Khan on NPR\'s Talk of the Nation (October 23, 2012)'] = 'Radio-Interview: Sal Khan bei NPR Talk of the Nation (23. Oktober 2012)';
catalog['Radio Waves (1888)'] = 'Radiowellen (1888)';
catalog['Radio interview: Sal on AirTalk talking about his new book'] = 'Radio Interview: Sal spicht im Air Talk ueber sein neues Buch';
catalog['Radioactive decay'] = 'Radioaktiver Zerfall';
catalog['Radius and center for a circle equation in standard form'] = 'Radius und Mittelpunkt f\u00fcr eine Kreis-Gleichung in der Normalform';
catalog['Radius change impact'] = 'Auswirkungen des Radius';
catalog['Radius of Observable Universe'] = 'Radius des beobachtbaren Universums';
catalog['Radius of observable universe (correction)'] = 'Radius of observable universe (correction)';
catalog['Radius of observable universe'] = 'Radius of observable universe';
catalog['Radius, diameter, and circumference'] = 'Radius, Durchmesser und Umfang';
catalog['Raising a number to the 0th and 1st power'] = 'Eine Zahl in die 0. und 1. Potenz erheben';
catalog['Raising money for a startup'] = 'Geld f\u00fcr ein Startup besorgen';
catalog['Raising money from an angel investor.  Pre-money and post-money valuation.'] = 'Geld von einem Business Angel beschaffen. Pre- und Post-Money-Bewertung.';
catalog['Raising or lowering the boiling or freezing point of a solution by adding solute.'] = 'Erh\u00f6hung oder Senkung des Siede- oder Gefrierpunktes einer L\u00f6sung durch das Hinzuf\u00fcgen von gel\u00f6stem Stoff.';
catalog['Ramesses II, Herakleopolis (Temple of Harsaphes), New Kingdom, Egypt, c. 1250 B.C.E. (University of Pennsylvania Museum of Archaeology and Anthropology)\n\nSpeakers: Monica Hahn, Brian Seymour\n\nhttp://smarthistory.org/ancient-egypt.html'] = 'Ramesses II, Herakleopolis (Temple of Harsaphes), New Kingdom, Egypt, c. 1250 B.C.E. (University of Pennsylvania Museum of Archaeology and Anthropology)\n\nSpeakers: Monica Hahn, Brian Seymour\n\nhttp://smarthistory.org/ancient-egypt.html';
catalog['Random logic puzzles and brain teasers.  Fun to do and useful for many job interviews!'] = 'Zuf\u00e4llig ausgew\u00e4hlte Logikr\u00e4tsel und Denksportaufgaben. Macht Spa\u00df beim L\u00f6sen und hilft auch in vielen Bewerbungstests!';
catalog['Random predictions for 2060'] = 'Random predictions for 2060';
catalog['Random primality test (warm up)'] = 'Test mit zuf\u00e4lligen Primzahlen (zum Aufw\u00e4rmen)';
catalog['Random sample warmup'] = 'Random sample warmup';
catalog['Random sampling intuition'] = 'Random sampling intuition';
catalog['Random variables and probability distributions'] = 'Zufallsvariablen und Wahrscheinlichkeitsverteilungen';
catalog['Random variables'] = 'Zufallsvariablen';
catalog['Random variables.  Expected value.  Probability distributions (both discrete and continuous).  Binomial distribution.  Poisson processes.'] = 'Zufallsvariablen. Erwartungswert. Wahrscheinlichkeitsverteilungen (diskrete und kontinuierliche). Die Binomialverteilung. Der Poisson-Proze\u00df.';
catalog['Random vs. Pseudorandom Number Generators'] = 'Erzeugung von zuf\u00e4lligen vs. pseudozuf\u00e4lligen Zahlen';
catalog['Randomized Algorithms'] = 'Zufallsalgorithmen';
catalog['Randomized algorithms (intro)'] = 'Zuf\u00e4llige Algorithmen (intro)';
catalog['Randomized algorithms'] = 'Randomisierte Algorithmen';
catalog['Range and Mid-range'] = 'Spannweite und Mid-Range';
catalog['Range of a function'] = 'Bildbereich einer Funktion';
catalog['Range, variance and standard deviation as measures of dispersion'] = 'Spannweite, Varianz und Standardabweichung als Verteilungsma\u00dfe';
catalog['Rank(A) = Rank(transpose of A)'] = 'Rank(A) = Rank(transpose of A)';
catalog['Raphael (Italian), La belle jardini\u00e8re (also, Madonna and Child with Saint John the Baptist), 1507, oil on panel, 48 \u00d7 31\u00bd in (122 \u00d7 80 cm, Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker'] = 'Raphael (Italian), La belle jardini\u00e8re (also, Madonna and Child with Saint John the Baptist), 1507, oil on panel, 48 \u00d7 31\u00bd in (122 \u00d7 80 cm, Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker';
catalog['Raphael, Alba Madonna'] = 'Raphael, Alba Madonna';
catalog['Raphael, Alba Madonna, oil on panel transferred to canvas, c. 1510 (National Gallery of Art, Washington D.C.)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Raphael, Alba Madonna, oil on panel transferred to canvas, c. 1510 (National Gallery of Art, Washington D.C.)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Raphael, Galatea'] = 'Raffael, Galatea';
catalog['Raphael, Galatea, c. 1513, fresco, Villa Farnesina, Rome, 9\' 8" x 7\' 5"'] = 'Raffael, Galatea, ca. 1513, Fresko, Villa Farnesina, Rom, 295 cm \u00d7 224 cm';
catalog['Raphael, La belle jardini\u00e8re'] = 'Raffael, La belle jardini\u00e8re';
catalog['Raphael, Madonna of the Goldfinch'] = 'Raffael, Madonna mit dem Stieglitz';
catalog['Raphael, Madonna of the Goldfinch, 1505-6, oil on panel, 42" x 30" (107 x 77 cm), Uffizi, Florence\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Raffael, Madonna mit dem Stieglitz, 1505-6, \u00d6l auf Tafel, 107 x 77 cm, Uffizi, Florenz\n\nSprecher: Dr. Steven Zucker und Dr. Beth Harris';
catalog['Raphael, Marriage of the Virgin, 1504'] = 'Raphael, Marriage of the Virgin, 1504';
catalog['Raphael, Portrait of Pope Julius II'] = 'Raffael, Portr\u00e4t von Papst Julius II.';
catalog['Raphael, Portrait of Pope Julius II, 1511, oil on poplar, 108.7 x 81 cm \n(National Gallery, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Raffael, Portr\u00e4t von Papst Julius II., 1511, \u00d6l auf Pappel, 108.7 x 81 cm \n(National Gallery, London)\n\nSpeakers: Dr. Beth Harris und Dr. Steven Zucker';
catalog['Raphael, School of Athens'] = 'Raffael, Die Schule von Athen';
catalog['Raphael, School of Athens, fresco, 1509-1511 (Stanza della Segnatura, Papal Palace, Vatican)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris'] = 'Raffael, Die Schule von Athen, Fresko, 1509-1511 (Stanza della Segnatura, p\u00e4pstlicher Palast, Vatikan)\n\nSprecher: Dr. Steven Zucker, Dr. Beth Harris';
catalog['Raphael\'s Marriage of the Virgin, 1504,  oil on panel, 174  cm \u00d7 121 cm / 69 in \u00d7 48 in (Pinacoteca di Brera, Milan) \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Raphael\'s Marriage of the Virgin, 1504,  oil on panel, 174  cm \u00d7 121 cm / 69 in \u00d7 48 in (Pinacoteca di Brera, Milan) \n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Raspberry Pi Clock Reset'] = 'Raspberry Pi Clock Reset';
catalog['Rate of change of balloon height'] = 'Rate of change of balloon height';
catalog['Rate of change of distance between approaching cars'] = 'Rate of change of distance between approaching cars';
catalog['Rate problem with fractions 1'] = 'Zuwachsraten mit Br\u00fcchen 1';
catalog['Rate problems 0.5'] = 'Aufgaben zu Verh\u00e4ltnissen 0.5';
catalog['Rate problems 1'] = 'Aufgaben zu Verh\u00e4ltnissen 1';
catalog['Rate problems 2'] = 'Aufgaben zu Verh\u00e4ltnissen 2';
catalog['Rates and proportional relationships'] = 'L\u00f6hne und proportionale Verh\u00e4ltnisse';
catalog['Rates and ratios'] = 'Raten und Verh\u00e4ltnisse';
catalog['Rates for proportional relationships'] = 'Raten f\u00fcr proportionale Beziehungen';
catalog['Rates of change between radius and area of circle'] = '\u00c4nderungsrate der Fl\u00e4che eines Kreises bei Ver\u00e4nderung des Radius';
catalog['Rates of change'] = 'Ver\u00e4nderungsraten';
catalog['Rates'] = 'Raten';
catalog['Ratio between concentric arcs'] = 'Ratio between concentric arcs';
catalog['Ratio problem with basic algebra'] = 'Eine Verh\u00e4ltnisaufgabe mit grundlegender Algebra';
catalog['Ratio word problem exercise example 1'] = 'Textaufgaben Verh\u00e4ltniszahlen - Beispiel 1';
catalog['Ratio word problem exercise example 2'] = 'Textaufgaben Verh\u00e4ltniszahlen - Beispiel 2';
catalog['Ratio word problems'] = 'Textaufgaben zu Verh\u00e4ltnissen';
catalog['Rational Equations'] = 'Rationale Gleichungen';
catalog['Rational Exponents and Exponent Laws'] = 'Gebrochene Exponenten und Potenzs\u00e4tze';
catalog['Rational and irrational numbers'] = 'Rationale und irrationale Zahlen';
catalog['Rational equations'] = 'Rationale Gleichungen';
catalog['Rational exponents and exponent laws'] = 'Gebrochene Exponenten und Potenzs\u00e4tze';
catalog['Rational expressions'] = 'Rationale Ausdr\u00fccke';
catalog['Rational functions are often not defined at certain points and have very interesting behavior has the input variable becomes very large in magnitude.  This tutorial explores how to graph these functions, paying attention to these special features.  We\'ll talk a lot about vertical and horizontal asymptotes.'] = 'Rationale Funktionen sind of nicht definiert an bestimmten Punkten und weisen ein sehr interessantes Verhalten auf, wenn die Variable sehr hohe Gr\u00f6\u00dfenordnungen annimt. Dieses Tutorial zeigt auf, wie man diese Funktionen unter Ber\u00fccksichtigung jener speziellen Eigenschaften graphisch darstellt. Dabei werden wir viel \u00fcber vertikale und horizontale Asymptoten sprechen.';
catalog['Rational functions'] = 'Rationale Funktionen';
catalog['Rational inequalities 2'] = 'Rationale Ungleichungen 2';
catalog['Rational inequalities'] = 'Rationale Ungleichungen';
catalog['Rational number word problem example 1'] = 'Rationale Zahlen - Textaufgaben Beispiel 1';
catalog['Rational number word problem example 2'] = 'Rationale Zahlen - Textaufgaben Beispiel 2';
catalog['Rational number word problem example 3'] = 'Rationale Zahlen - Textaufgaben Beispiel 3';
catalog['Rational number word problems'] = 'Rationale Zahlen und Textaufgaben';
catalog['Rationale for Euler\'s Formula and Euler\'s Identity'] = 'Prinzip der Eulerschen Formel und der Eulerschen Gleichung';
catalog['Rationalizing Denominators of Expressions'] = 'Rationalisierung der Nenner von Ausdr\u00fccken';
catalog['Rationalizing denominators of expressions'] = 'Rationalisierung der Nenner von Ausdr\u00fccken';
catalog['Ratios and proportions'] = 'Verh\u00e4ltnisse und Proportionen';
catalog['Ratios as Fractions in Simplest Form'] = 'Verh\u00e4ltnisse als Br\u00fcche in der einfachsten Form';
catalog['Ratios as fractions in simplest form'] = 'Verh\u00e4ltnisse als Br\u00fcche in der einfachsten Form';
catalog['Ratios as fractions'] = 'Ratios as fractions';
catalog['Ratios of distances between colinear points'] = 'Ratios of distances between colinear points';
catalog['Ratios, proportions and rates'] = 'Verh\u00e4ltnisse, Proportionen und Zuwachsquoten';
catalog['Ratios, proportions, units and rates'] = 'Verh\u00e4ltnisse, Anteile, Einheiten und Raten';
catalog['Ratios, rates, and percentages'] = 'Anteile, Verh\u00e4ltnisse und Prozents\u00e4tze';
catalog['Ray Dalio has put together a quiz to test your knowledge on how the economic machine works.'] = 'Ray Dalio has put together a quiz to test your knowledge on how the economic machine works.';
catalog['Raymond Duchamp-Villon, Horse, 1914, bronze, 39-3/8 x 24 x 36 inches / 99 x 61 x 91.4 cm (Art Institute of Chicago)'] = 'Raymond Duchamp-Villon, Horse, 1914, bronze, 39-3/8 x 24 x 36 inches / 99 x 61 x 91.4 cm (Art Institute of Chicago)';
catalog['Re-creating Pangaea'] = 'Re-creating Pangaea';
catalog['Re-send activation emails'] = 'Re-send activation emails';
catalog['Re: Visual multiplication and 48/2(9+3)'] = 'Re: Visual multiplication and 48/2(9+3)';
catalog['Reaction rates'] = 'Reaktionsgeschwindigkeiten';
catalog['Reactions at the benzylic position'] = 'Reactions at the benzylic position';
catalog['Reactions in equilibrium'] = 'Reactions in equilibrium';
catalog['Reactions of alcohols'] = 'Reaktionen der Alkohole';
catalog['Reactivity of aldehydes and ketones'] = 'Reactivity of aldehydes and ketones';
catalog['Reactivity of carboxylic acid derivatives'] = 'Reactivity of carboxylic acid derivatives';
catalog['Reading Bar Graphs'] = 'Balkendiagramme lesen';
catalog['Reading Box-and-Whisker Plots'] = 'Box-Whisker-Plots (Kastengrafik) lesen';
catalog['Reading Line Graphs'] = 'Liniendiagramme lesen';
catalog['Reading Pictographs'] = 'Piktogramme lesen';
catalog['Reading Pie Graphs (Circle Graphs)'] = 'Lesen von Tortendiagrammen (Kreis-Diagrammen)';
catalog['Reading and interpreting data'] = 'Lesen und Interpretieren von Daten';
catalog['Reading bar charts 1'] = 'Balkendiagramme lesen 1';
catalog['Reading bar charts 2'] = 'Balkendiagramme lesen 1';
catalog['Reading bar charts 3'] = 'Balkendiagramme lesen 3';
catalog['Reading bar graphs'] = 'Balkendiagramme lesen';
catalog['Reading box-and-whisker plots'] = 'Box-Whisker-Plots (Kastengrafik) lesen';
catalog['Reading line graphs'] = 'Liniendiagramme lesen';
catalog['Reading pictographs 1'] = 'Piktogramme lesen 1';
catalog['Reading pictographs 2'] = 'Piktogramme lesen 2';
catalog['Reading pictographs'] = 'Piktogramme lesen';
catalog['Reading pie graphs (circle graphs)'] = 'Lesen von Tortendiagrammen (Kreis-Diagrammen)';
catalog['Reading stem and leaf plots'] = 'Stamm-Blatt-Diagramme lesen';
catalog['Ready, set... start your engines!'] = 'Ready, set... start your engines!';
catalog['Real GDP and nominal GDP'] = 'Real GDP and nominal GDP';
catalog['Real GDP driving price'] = 'Real GDP driving price';
catalog['Real and nominal GDP'] = 'Real and nominal GDP';
catalog['Real and nominal return'] = 'Real and nominal return';
catalog['Real coordinate spaces'] = 'Real coordinate spaces';
catalog['Real gases and the van der Waals equation'] = 'Real gases and the van der Waals equation';
catalog['Realism'] = 'Realism';
catalog['Realizing that the determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix'] = 'Realizing that the determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix';
catalog['Rearrange formulas to isolate specific variables'] = 'Umordnen von Formeln zur Isolation bestimmter Variablen';
catalog['Reasonable samples'] = 'Angemessene Stichproben';
catalog['Reasonable scale for plotting data'] = 'Angemessener Ma\u00dfstab f\u00fcr das grafische Darstellen von Daten';
catalog['Reasonable units for distance example'] = 'Angemessenen Einheiten f\u00fcr Entfernung - Beispiel';
catalog['Reasonable units'] = 'Vern\u00fcnftige Einheiten';
catalog['Reasoning through inequality expressions'] = 'Argumentation durch ungleiche Ausdr\u00fccke';
catalog['Reception Room (Qa\'a), Ottoman period, 1119 a.h. / 1707 a.d., Damascus, Syria, poplar, gesso relief with gold and tin leaf, glazes and paint; cypress, poplar, walnut, black mulberry, mother-of pearl, marble and other stones, stucco with glass, plaster, ceramic tiles, iron, brass, 22 feet and a 1/2 inch high x 16 feet, 8-1/2 inches deep x 26 feet, 4-3/4 inches long, Metropolitan Museum of Art.<br>A conversation between Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker by the Damascus Room.'] = 'Reception Room (Qa\'a), Ottoman period, 1119 a.h. / 1707 a.d., Damascus, Syria, poplar, gesso relief with gold and tin leaf, glazes and paint; cypress, poplar, walnut, black mulberry, mother-of pearl, marble and other stones, stucco with glass, plaster, ceramic tiles, iron, brass, 22 feet and a 1/2 inch high x 16 feet, 8-1/2 inches deep x 26 feet, 4-3/4 inches long, Metropolitan Museum of Art.<br>A conversation between Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker by the Damascus Room.';
catalog['Reciprocal of a Mixed Number'] = 'Kehrwert eines gemischten Bruchs';
catalog['Reciprocal of a mixed number'] = 'Kehrwert eines gemischten Bruchs';
catalog['Reciprocal trig functions'] = 'Reciprocal trig functions';
catalog['Recognize volume as an attribute of solid figures and understand concepts of volume measurement.'] = 'Recognize volume as an attribute of solid figures and understand concepts of volume measurement.';
catalog['Recognizing Divisibility'] = 'Teilbarkeit erkennen';
catalog['Recognizing Linear Functions'] = 'Lineare Funktionen erkennen';
catalog['Recognizing Prime Numbers'] = 'Primzahlen erkennen';
catalog['Recognizing a perfect square quadratic'] = 'Ein perfektes Quadrat in einer quadratischen Gleichung erkennen';
catalog['Recognizing angles examples'] = 'Winkel erkennen - Beispiele';
catalog['Recognizing angles'] = 'Recognizing angles';
catalog['Recognizing concavity exercise'] = 'Recognizing concavity exercise';
catalog['Recognizing concavity'] = 'Konkavit\u00e4t erkennen';
catalog['Recognizing conic sections'] = 'Kegelschnitte erkennen';
catalog['Recognizing direct and inverse variation'] = 'Direkte und umgekehrte Variation erkennen';
catalog['Recognizing divisibility'] = 'Teilbarkeit erkennen';
catalog['Recognizing features of functions (example 1)'] = 'Erkennen von Merkmalen von Funktionen (Beispiel 1)';
catalog['Recognizing features of functions 2 (example 2)'] = 'Erkennen von Merkmalen von Funktionen 2 (Beispiel 2)';
catalog['Recognizing features of functions 2 (example 3)'] = 'Erkennen von Merkmalen von Funktionen 2 (Beispiel 3)';
catalog['Recognizing features of functions 2'] = 'Recognizing features of functions 2';
catalog['Recognizing fractions exercise'] = 'Br\u00fcche erkennen - \u00dcbung';
catalog['Recognizing fractions'] = 'Br\u00fcche erkennen';
catalog['Recognizing functions (example 1)'] = 'Erkennen von Funktionen (Beispiel 1)';
catalog['Recognizing functions (example 2)'] = 'Erkennen von Funktionen (Beispiel 2)';
catalog['Recognizing functions (example 3)'] = 'Erkennen von Funktionen (Beispiel 3)';
catalog['Recognizing functions (example 4)'] = 'Erkennen von Funktionen (Beispiel 4)';
catalog['Recognizing functions (example 5)'] = 'Erkennen von Funktionen (Beispiel 5)';
catalog['Recognizing functions 2'] = 'Funktionen erkennen 2';
catalog['Recognizing functions'] = 'Funktionen erkennen';
catalog['Recognizing irrational numbers'] = 'Irrationale Zahlen erkennen';
catalog['Recognizing linear functions'] = 'Lineare Funktionen erkennen';
catalog['Recognizing odd and even functions'] = 'Gerade und ungerade Funktionen erkennen';
catalog['Recognizing parallel and perpendicular lines'] = 'Parallele und senkrechte Linien erkennen';
catalog['Recognizing points on a circle'] = 'Punkte auf einem Kreis erkennen';
catalog['Recognizing prime numbers'] = 'Primzahlen erkennen';
catalog['Recognizing rational and irrational expressions example'] = 'Rationale und irrationale Ausdr\u00fccke erkennen - Beispiel';
catalog['Recognizing rational and irrational expressions'] = 'Rationale und irrationale Ausdr\u00fccke erkennen';
catalog['Recognizing rational and irrational numbers'] = 'Erkenne rationale und irrationale Zahlen';
catalog['Recognizing rays, lines, and line segments'] = 'Strahlen, Geraden und Strecken erkennen';
catalog['Recognizing shapes'] = 'Formen wiedererkennen';
catalog['Recognizing slope of curves'] = 'Anstieg von Kurven erkennen';
catalog['Recognizing triangles'] = 'Dreiecke erkennen';
catalog['Recognizing vector quantities'] = 'Recognizing vector quantities';
catalog['Reconciling thermodynamic and state definitions of entropy'] = 'Reconciling thermodynamic and state definitions of entropy';
catalog['Reconciling with the traditional Drake Equation'] = 'Reconciling with the traditional Drake Equation';
catalog['Reconstructing the total displacement vector for a projectile'] = 'Reconstructing the total displacement vector for a projectile';
catalog['Reconstruction of the Ishtar Gate and Processional Way, Babylon, c. 575 B.C.E., glazed mud brick (Pergamon Museum, Berlin)'] = 'Reconstruction of the Ishtar Gate and Processional Way, Babylon, c. 575 B.C.E., glazed mud brick (Pergamon Museum, Berlin)';
catalog['Reconstruction to the Great Depression'] = 'Vom Wiederaufbau bis zur Weltwirtschaftskrise';
catalog['Recreational math'] = 'Freizeit-Mathematik';
catalog['Recreational mathematics and inspirational videos by resident mathemusician Vi Hart'] = 'Freizeit-mathematische und inspirierende Videos der ans\u00e4ssigen Mathemusikerin Vi Hart';
catalog['Rectangle area and perimeter word problems'] = 'Textaufgaben zu Fl\u00e4cheninhalt und Umfang von Rechtecken';
catalog['Rectangle area as product of dimensions same as counting unit squares'] = 'Fl\u00e4cheninhalt eines Rechtecks als Produkt der Dimensionen gleich dem Z\u00e4hlen von Einheitsquadraten';
catalog['Rectangular and polar forms of complex numbers'] = 'Rectangular and polar forms of complex numbers';
catalog['Rectangular and trapezoidal Riemann approximations'] = 'Rectangular and trapezoidal Riemann approximations';
catalog['Rectangular to polar form of complex number'] = 'Rectangular to polar form of complex number';
catalog['Recursive Fibonacci example'] = 'Recursive Fibonacci example';
catalog['Recursive and explicit functions'] = 'Rekursive und explizite Funktionen';
catalog['Recursive factorial function'] = 'Rekursive Fakult\u00e4tsfunktion';
catalog['Recursive functions'] = 'Rekursive Funktionen';
catalog['Red blood cells'] = 'Rote Blutk\u00f6rperchen';
catalog['Red light, black shadow'] = 'Red light, black shadow';
catalog['Red shift'] = 'Red shift';
catalog['Redesigning a school toward blended learning '] = 'Redesigning a school toward blended learning ';
catalog['Redesigning the school day at KIPP LA using a station rotation model'] = 'Redesigning the school day at KIPP LA using a station rotation model';
catalog['Redesigning the school day at Navigator Schools using a lab rotation model'] = 'Redesigning the school day at Navigator Schools using a lab rotation model';
catalog['Redesigning the school day at Summit Public Schools using a flex model'] = 'Redesigning the school day at Summit Public Schools using a flex model';
catalog['Rediscover the most important Scientific observations in a historical progression'] = 'Rediscover the most important Scientific observations in a historical progression';
catalog['Redox Reactions'] = 'Redoxreaktionen';
catalog['Redox reaction from dissolving zinc in copper sulfate'] = 'Redox reaction from dissolving zinc in copper sulfate';
catalog['Redox reaction with iron'] = 'Redox reaction with iron';
catalog['Redox reactions'] = 'Redoxreaktionen';
catalog['Reduced row echelon form'] = 'erweiterte Koeffizientenmatrix';
catalog['Reduction of alkynes'] = 'Reduction of alkynes';
catalog['Reduction of carboxylic acids'] = 'Reduction of carboxylic acids';
catalog['Reel'] = 'Reel';
catalog['Reflecting line across another line example'] = 'Reflecting line across another line example';
catalog['Reflecting points exercise'] = 'Spiegelung von Punkte - \u00dcbung';
catalog['Reflecting points'] = 'Reflektionspunkte';
catalog['Reflection and mapping points example'] = 'Reflection and mapping points example';
catalog['Refraction and Snell\'s Law'] = 'Refraction and Snell\'s Law';
catalog['Refraction and Snell\'s law'] = 'Refraction and Snell\'s law';
catalog['Refraction in Water'] = 'Refraction in Water';
catalog['Refraction in water'] = 'Refraction in water';
catalog['Refraction of Seismic Waves'] = 'Refraction of Seismic Waves';
catalog['Refraction of seismic waves'] = 'Refraction of seismic waves';
catalog['Regiochemistry'] = 'Regiochemistry';
catalog['Register a Device'] = 'Ein Ger\u00e4t registrieren';
catalog['Register a device'] = 'Register a device';
catalog['Register device to a zone'] = 'Register device to a zone';
catalog['Register device'] = 'Ger\u00e4t registrieren';
catalog['Register this device with the central server'] = 'Register this device with the central server';
catalog['Register to start tracking your progress'] = 'Register to start tracking your progress';
catalog['Registration complete'] = 'Registration complete';
catalog['Registration status: '] = 'Anmeldestatus: ';
catalog['Regression Line Example'] = 'Regressionsgerade - Beispiel';
catalog['Regression line example'] = 'Regressionsgerade - Beispiel';
catalog['Regression'] = 'Regression';
catalog['Regrouping (borrowing) twice example'] = 'Zweimaliger \u00dcbertrag (Ausborgen) - Beispiel';
catalog['Regrouping decimal numbers'] = '\u00dcbertrag von Dezimalzahlen';
catalog['Regrouping decimals example 2'] = 'Zerlegung von Dezimalzahlen - Beispiel 2';
catalog['Regrouping decimals'] = 'Umgruppierung von Dezimalzahlen';
catalog['Regrouping from 0 when subtracting three digit numbers'] = '\u00dcbertrag von 0, wenn dreistellige Zahlen subtrahiert werden';
catalog['Regrouping involves taking value from one place and giving it to another.  It is a great way to make sure you understand place value.  It is also super useful when subtracting multi-digit numbers (the process is often called "borrowing" even though you never really "pay back" the value taken from one place and given to another).'] = 'Beim Umgruppieren geht es darum, einen Wert von einer Stelle zu nehmen und ihn einer anderen zu geben. Das ist eine tolle Art, sicherzustellen, dass du die Wertigkeit einer Stelle verstehst. Das ist auch sehr n\u00fctzlich, wenn man mehrstellige Zahlen subtrahiert (dieser Vorgang wird oft "Ausborgen" genannt, auch wenn man den Wert nie wirklich "zur\u00fcckzahlt", den man von einer Stelle genommen und einer anderen gegeben hat).';
catalog['Regrouping numbers intro various place values'] = 'Zerlegung von Zahlen in verschiedene Stellenwerte';
catalog['Regrouping twice when subtracting three digit numbers'] = 'Zweimaliger Zehner\u00fcbergang wenn dreistellige Zahlen subtrahiert werden';
catalog['Regrouping when subtracting three digit numbers'] = '\u00dcbertrag wenn dreistellige Zahlen subtrahiert werden';
catalog['Regrouping whole numbers example 1'] = 'Zerlegung ganzer Zahlen - Beispiel 1';
catalog['Regrouping whole numbers example 2'] = 'Zerlegung ganzer Zahlen - Beispiel 2';
catalog['Regrouping whole numbers'] = 'Zerlegung von ganzen Zahlen';
catalog['Regrouping with decimals example'] = 'Zerlegung von Dezimalzahlen - Beispiel';
catalog['Regrouping with decimals'] = 'Zerlegung von Dezimalzahlen';
catalog['Regulation of Krebs-TCA cycle'] = 'Regulation of Krebs-TCA cycle';
catalog['Regulation of blood pressure with baroreceptors'] = 'Regulation of blood pressure with baroreceptors';
catalog['Regulation of glycolysis and gluconeogenesis'] = 'Regulation of glycolysis and gluconeogenesis';
catalog['Regulation of oxidative phosphorylation'] = 'Regulation of oxidative phosphorylation';
catalog['Regulation of pyruvate dehydrogenase'] = 'Regulation of pyruvate dehydrogenase';
catalog['Regulation of transcription'] = 'Regulation of transcription';
catalog['Regulatory genes'] = 'Regulatory genes';
catalog['Reimagine the pressure volume relationship'] = 'Reimagine the pressure volume relationship';
catalog['Relate addition and subtraction'] = 'Relate addition and subtraction';
catalog['Relate division to multiplication'] = 'Division und Multiplikation in Beziehung setzen';
catalog['Relate the area of a sector to the area of a whole circle.'] = 'Beziehe die Fl\u00e4che eines Sektors auf die Fl\u00e4che eines ganzen Kreises.';
catalog['Relate the length of an arc to the circumference of a whole circle.'] = 'Finde eine Beziehung zwischen der L\u00e4nge eines Bogens und dem Umfang eines ganzen Kreises.';
catalog['Related rates of water pouring into cone'] = 'Related rates of water pouring into cone';
catalog['Related rates'] = '\u00c4hnliche Ver\u00e4nderungsraten';
catalog['Relating invertibility to being onto (surjective) and one-to-one (injective)'] = 'Relating invertibility to being onto (surjective) and one-to-one (injective)';
catalog['Relating invertibility to being onto and one-to-one'] = 'Relating invertibility to being onto and one-to-one';
catalog['Relating trig function through angle rotations'] = 'Relating trig function through angle rotations';
catalog['Relation between nominal and real returns and inflation'] = 'Relation between nominal and real returns and inflation';
catalog['Relations and Functions'] = 'Relationen und Funktionen';
catalog['Relations and functions'] = 'Relationen und Funktionen';
catalog['Relationship between angular velocity and speed'] = 'Relationship between angular velocity and speed';
catalog['Relationship between bond prices and interest rates'] = 'Die Beziehung zwischen Anleihekursen und Zinsaten. ';
catalog['Relationship between left nullspace, rowspace, column space and nullspace.'] = 'Relationship between left nullspace, rowspace, column space and nullspace.';
catalog['Relationship between the GDP deflator, nominal GDP and real GDP'] = 'Relationship between the GDP deflator, nominal GDP and real GDP';
catalog['Relationships and functions'] = 'Beziehungen und Funktionen';
catalog['Relationships between patterns'] = 'Beziehungen zwischen Mustern';
catalog['Relationships can be any association between sets of numbers while functions have only one output for a given input.  This tutorial works through a bunch of examples of testing whether something is a valid function.  As always, we really encourage you to pause the videos and try the problems before Sal does!'] = 'Beziehungen k\u00f6nnen beliebige Verbindungen zwischen Gruppen von Zahlen sein, w\u00e4hrend Funktionen f\u00fcr jeden Eingabewert nur genau einen Ausgabewert haben. Dieses Tutorial arbeitet sich durch eine Anzahl von Beispielen um zu testen ob etwas eine wahrhaftige Funktion ist. Wie immer m\u00f6chten wir dich dazu ermutigen das Video anzuhalten und die Probleme zuerst selbst auszuprobieren, bevor Sal sie durch geht!';
catalog['Relationships can be any association between sets of numbers while functions have only one output for a given input.  This tutorial works through a bunch of examples of testing whether something is a valid function.  As always, we really encourage you to pause the videos and try the problems before Sal does!\n\nCommon Core Standard: 8.F.A.1'] = 'Beziehungen k\u00f6nnen beliebige Auspr\u00e4gungen zwischen Gruppen von Zahlen haben, w\u00e4hrend Funktionen f\u00fcr jeden Eingabewert nur genau einen Ausgabewert haben. Dieses Tutorial zeigt anhand einer ganzen Reihe von Beispielen wie man testet, ob etwas eine g\u00fcltige Funktion ist. Wie immer m\u00f6chten wir dich dazu ermutigen, das Video anzuhalten und die Probleme zuerst selbst auszuprobieren, bevor Sal sie durch geht!\n\nCommon Core Standard: 8.F.A.1';
catalog['Relative complement or difference between sets'] = 'Relatives Komplement oder die Differenz zwischen Mengen';
catalog['Relative minima and maxima'] = 'Relative minima and maxima';
catalog['Release Date'] = 'Release Date';
catalog['Released Date'] = 'Released Date';
catalog['Relief process'] = 'Relief process';
catalog['Religion plays a significant role in the art and architecture of the ancient Near East, with cosmology guiding representation of deities and kings who themselves assume divine attributes.\n\nBy permission, \u00a9 2013 The College Board'] = 'Religion plays a significant role in the art and architecture of the ancient Near East, with cosmology guiding representation of deities and kings who themselves assume divine attributes.\n\nBy permission, \u00a9 2013 The College Board';
catalog['Reliquary Bust of a Saint'] = 'Reliquary Bust of a Saint';
catalog['Remainder theorem of polynomials'] = 'Remainder theorem of polynomials';
catalog['Rembrandt Harmensz van Rijn, A Girl at a Window, 1645, oil on canvas, 32 x 24 in. (81.6 x 61 cm), (Dulwich Picture Gallery, London)\n\nSpeakers: Pippa Couch, Rachel Ropeik'] = 'Rembrandt Harmensz van Rijn, A Girl at a Window, 1645, oil on canvas, 32 x 24 in. (81.6 x 61 cm), (Dulwich Picture Gallery, London)\n\nSpeakers: Pippa Couch, Rachel Ropeik';
catalog['Rembrandt van Rijn, Bathsheba at Her Bath, 1654, oil on canvas, 56 x 56 in (142 x 142 cm) , Mus\u00e9e du Louvre, Paris\n\nSpeakers: Drs. Beth Harris and Steven Zucker'] = 'Rembrandt van Rijn, Bathsheba at Her Bath, 1654, oil on canvas, 56 x 56 in (142 x 142 cm) , Mus\u00e9e du Louvre, Paris\n\nSpeakers: Drs. Beth Harris and Steven Zucker';
catalog['Rembrandt van Rijn, The Three Crosses, etching and drypoint, 1653\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris\n\nhttp://smarthistory.org/rembrandt-three-crosses.html'] = 'Rembrandt van Rijn, The Three Crosses, etching and drypoint, 1653\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris\n\nhttp://smarthistory.org/rembrandt-three-crosses.html';
catalog['Rembrandt, Bathsheba at her Bath'] = 'Rembrandt, Bathsheba at her Bath';
catalog['Rembrandt, Girl at a Window'] = 'Rembrandt, M\u00e4dchen am Fenster';
catalog['Rembrandt, Self-Portrait, 1659'] = 'Rembrandt, Self-Portrait, 1659';
catalog['Rembrandt, The Three Crosses'] = 'Rembrandt, die drei Kreuze';
catalog['Remember functions?  What makes them special is that they have only one output for a given input. '] = 'Erinnerst du dich an Funktionen? Was sie besonders macht ist, dass sie nur genau ein Ergebnis f\u00fcr einen gegebenen Eingangswert haben.';
catalog['Remember that a good diet, exercise, losing weight, and quitting smoking can lower blood pressure!   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Remember that a good diet, exercise, losing weight, and quitting smoking can lower blood pressure!   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Remember the 3 key layers of a blood vessel (Tunica intima, Tunica media, and Tunica externa) and how arteries, veins, and capillaries are all different from one another.   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Remember the 3 key layers of a blood vessel (Tunica intima, Tunica media, and Tunica externa) and how arteries, veins, and capillaries are all different from one another.   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Remove Users from Group'] = 'Remove Users from Group';
catalog['Removing the parameter from a more interesting example'] = 'Removing the parameter from a more interesting example';
catalog['Ren\u00e9 Magritte, The Treachery of Images (Ceci n\'est pas une pipe), 1929 (LACMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Ren\u00e9 Magritte, The Treachery of Images (Ceci n\'est pas une pipe), 1929 (LACMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Renaissance Art in Europe'] = 'Renaissance Art in Europe';
catalog['Renaissance Venice in the 1400s'] = 'Renaissance Venice in the 1400s';
catalog['Renaissance Venice was a city of merchants that traded with the Byzantine and Islamic Empires to the East, with the Germanic nations North of the Alps, and with Kingdoms to the West. In the 15th Century, Venice was at the height of its power with colonies and a well equipped navy to protect its merchant fleet abroad. Its fabulous wealth financed the construction of sumptuous churches and palaces\u2014and art to fill them. The city\u2019s salty, humid air meant that frescos faded quickly and so in the late 15th century, artists adopted oil, a medium they had seen used on panels from the north. By the late 15th century, they had also adopted canvas as their support of choice and artists like Giovanni Bellini created some of the most subtle and engaging art ever made.'] = 'Renaissance Venice was a city of merchants that traded with the Byzantine and Islamic Empires to the East, with the Germanic nations North of the Alps, and with Kingdoms to the West. In the 15th Century, Venice was at the height of its power with colonies and a well equipped navy to protect its merchant fleet abroad. Its fabulous wealth financed the construction of sumptuous churches and palaces\u2014and art to fill them. The city\u2019s salty, humid air meant that frescos faded quickly and so in the late 15th century, artists adopted oil, a medium they had seen used on panels from the north. By the late 15th century, they had also adopted canvas as their support of choice and artists like Giovanni Bellini created some of the most subtle and engaging art ever made.';
catalog['Renaissance art: Introduction'] = 'Renaissance art: Introduction';
catalog['Renaud Laplanche - Founder of Lending Club '] = 'Renaud Laplanche - Founder of Lending Club ';
catalog['Renaud Laplanche was opening his mail when the idea for Lending Club came to him. He tells the story of seeing \n\nthe opportunity and creating the online Lending Club to fill the gap in the financial industries market. Laplache\u2019s\n\ncompetitive nature extends to one-man sailboat racing and he compares the risks and rewards of racing with setting\n\nthe pace as an entrepreneur.'] = 'Renaud Laplanche was opening his mail when the idea for Lending Club came to him. He tells the story of seeing \n\nthe opportunity and creating the online Lending Club to fill the gap in the financial industries market. Laplache\u2019s\n\ncompetitive nature extends to one-man sailboat racing and he compares the risks and rewards of racing with setting\n\nthe pace as an entrepreneur.';
catalog['Renaud Laplanche was opening his mail when the idea for Lending Club came to him. He tells the story of seeing&nbsp;<br />\nthe opportunity and creating the online Lending Club to fill the gap in the financial industries market. Laplache&rsquo;s<br />\ncompetitive nature extends to one-man sailboat racing and he compares the risks and rewards of racing with setting<br />\nthe pace as an entrepreneur.'] = 'Renaud Laplanche was opening his mail when the idea for Lending Club came to him. He tells the story of seeing&nbsp;<br />\nthe opportunity and creating the online Lending Club to fill the gap in the financial industries market. Laplache&rsquo;s<br />\ncompetitive nature extends to one-man sailboat racing and he compares the risks and rewards of racing with setting<br />\nthe pace as an entrepreneur.';
catalog['Renaud Laplanche was opening his mail when the idea for Lending Club came to him. He tells the story of seeing<br />\nthe opportunity and creating the online Lending Club to fill the gap in the financial industries market. Laplache&rsquo;s&nbsp;<br />\ncompetitive nature extends to one-man sailboat racing and he compares the risks and rewards of racing with setting&nbsp;<br />\nthe pace as an entrepreneur.'] = 'Renaud Laplanche was opening his mail when the idea for Lending Club came to him. He tells the story of seeing<br />\nthe opportunity and creating the online Lending Club to fill the gap in the financial industries market. Laplache&rsquo;s&nbsp;<br />\ncompetitive nature extends to one-man sailboat racing and he compares the risks and rewards of racing with setting&nbsp;<br />\nthe pace as an entrepreneur.';
catalog['Renaud Laplanche was opening his mail when the idea for Lending Club came to him. He tells the story of seeing<br />\nthe opportunity and creating the online Lending Club to fill the gap in the financial industries market. Laplache&rsquo;s&nbsp;<br />\ncompetitive nature extends to one-man sailboat racing and he compares the risks and rewards of racing with setting&nbsp;<br />\nthe pace as an entrepreneur.<br />\n&nbsp;'] = 'Renaud Laplanche was opening his mail when the idea for Lending Club came to him. He tells the story of seeing<br />\nthe opportunity and creating the online Lending Club to fill the gap in the financial industries market. Laplache&rsquo;s&nbsp;<br />\ncompetitive nature extends to one-man sailboat racing and he compares the risks and rewards of racing with setting&nbsp;<br />\nthe pace as an entrepreneur.<br />\n&nbsp;';
catalog['Renaud Laplanche, Founder of Lending Club '] = 'Renaud Laplanche, Founder of Lending Club ';
catalog['Renin production in the kidneys'] = 'Renin production in the kidneys';
catalog['Renoir, La Loge'] = 'Renoir, La Loge';
catalog['Renoir, Moulin de la Galette'] = 'Renoir, Moulin de la Galette';
catalog['Renoir, The Grands Boulevards'] = 'Renoir, The Grands Boulevards';
catalog['Renoir, The Large Bathers'] = 'Renoir, The Large Bathers';
catalog['Rent control and deadweight loss'] = 'Rent control and deadweight loss';
catalog['Renting versus buying a home'] = 'Renting versus buying a home';
catalog['Renting vs. buying (detailed analysis)'] = 'Renting vs. buying (detailed analysis)';
catalog['Renting vs. buying a home (part 2)'] = 'Renting vs. buying a home (part 2)';
catalog['Renting vs. buying a home'] = 'Mieten vs. Haus kaufen';
catalog['Repeated addition'] = 'Wiederholte Addition';
catalog['Repeated roots of the characteristic equation'] = 'n-te Wurzel der charakteristischen Gleichung';
catalog['Repeated roots of the characteristic equations part 2'] = 'n-te Wurzel der charakteristischen Gleichung - Teil 2';
catalog['Repeating decimal as infinite geometric series'] = 'Periodische Dezimalzahl als unendliche geometrische Reihe';
catalog['Repeating something over-and-over? Loops are here to help!'] = 'Etwas immer und immer wieder wiederholen? Schleifen sind hier um zu helfen!';
catalog['Represent a complicated rational fraction as a sum of simpler fractions using partial fraction expansion.'] = 'Represent a complicated rational fraction as a sum of simpler fractions using partial fraction expansion.';
catalog['Representation & Abstraction: Looking at Millais and Newman\nJohn Everett Millais, Ophelia, 1851-2 (Tate Britain) and Barnett Newman, Vir Heroicus Sublimus,  1950-51 (MoMA)\n\nA conversation with Sal Khan, Beth Harris & Steven Zucker'] = 'Representation & Abstraction: Looking at Millais and Newman\nJohn Everett Millais, Ophelia, 1851-2 (Tate Britain) and Barnett Newman, Vir Heroicus Sublimus,  1950-51 (MoMA)\n\nA conversation with Sal Khan, Beth Harris & Steven Zucker';
catalog['Representation and abstraction: Millais\'s Ophelia and Newman\'s Vir Heroicus Sublimis'] = 'Representation and abstraction: Millais\'s Ophelia and Newman\'s Vir Heroicus Sublimis';
catalog['Representing Structures of Organic Molecules'] = 'Graphische Darstellung organischer Molek\u00fcle';
catalog['Representing a number as a decimal, percent, and fraction 2'] = 'Eine Zahl als Dezimalzahl, Prozent und Bruch darstellen 2';
catalog['Representing a number as a decimal, percent, and fraction'] = 'Eine Zahl als Dezimalzahl, Prozent und Bruch darstellen';
catalog['Representing a relationship with a simple equation'] = 'Eine Beziehung mit einer einfachen Gleichung darstellen';
catalog['Representing and comparing rates'] = 'Darstellen und vergleichen von Raten';
catalog['Representing data with matrices'] = 'Representing data with matrices';
catalog['Representing function over interval of convergence'] = 'Representing function over interval of convergence';
catalog['Representing functions in multiple ways'] = 'Funktionen auf unterschiedliche Weise darstellen';
catalog['Representing quantity using place value'] = 'Quantit\u00e4t mit Hilfe des Stellenwertes darstellen';
catalog['Representing relationships with matrices'] = 'Beziehungen mit Matrizen darstellen';
catalog['Representing structures of organic molecules'] = 'Graphische Darstellung organischer Molek\u00fcle';
catalog['Representing vectors in rn using subspace members'] = 'Representing vectors in rn using subspace members';
catalog['Reproductive isolation'] = 'Reproductive isolation';
catalog['Republican period: Temple of Portunus'] = 'Republican period: Temple of Portunus';
catalog['Republican period: Veristic Male Portrait'] = 'Republican period: Veristic Male Portrait';
catalog['Repurchase agreements (repo transactions)'] = 'Repurchase agreements (repo transactions)';
catalog['Requires authentication'] = 'Requires authentication';
catalog['Reset my password'] = 'Mein Passwort zur\u00fccksetzen';
catalog['Resetting cardiac concentration gradients'] = 'Resetting cardiac concentration gradients';
catalog['Resistance in a tube'] = 'Resistance in a tube';
catalog['Resistors in parallel'] = 'Resistors in parallel';
catalog['Resistors in series'] = 'Resistors in series';
catalog['Resolution of enantiomers'] = 'Resolution of enantiomers';
catalog['Resonance and dot structures'] = 'Resonance and dot structures';
catalog['Resources 2'] = 'Resources 2';
catalog['Resources for College Brush Ups'] = 'Resources for College Brush Ups';
catalog['Resources for learners who want to explore ways to use Khan Academy on their journey to & through college.'] = 'Resources for learners who want to explore ways to use Khan Academy on their journey to & through college.';
catalog['Resources to learn about software:  the "consumer reports" of ed tech'] = 'Resources to learn about software:  the "consumer reports" of ed tech';
catalog['Resources'] = 'Resources';
catalog['Restricting domain of trig function to make invertible'] = 'Restricting domain of trig function to make invertible';
catalog['Restricting function domain to make invertible'] = 'Einschr\u00e4nkung der Funktionsdom\u00e4ne, um sie umkehrbar zu machen';
catalog['Results of first drilling'] = 'Results of first drilling';
catalog['Rethinking the role of the teacher and the key shifts a teacher experiences'] = 'Rethinking the role of the teacher and the key shifts a teacher experiences';
catalog['Retirement accounts: IRAs and 401ks'] = 'Retirement accounts: IRAs and 401ks';
catalog['Retrieval cues'] = 'Retrieval cues';
catalog['Retrieval: Free recall, cued recall, and recognition'] = 'Retrieval: Free recall, cued recall, and recognition';
catalog['Retro-aldol and retrosynthesis'] = 'Retro-aldol and retrosynthesis';
catalog['Return on capital'] = 'Return on capital';
catalog['Reverse Engineering'] = 'Reverse-Engineering (Nachkonstruktion)';
catalog['Reverse electrodes (polarity)'] = 'Reverse electrodes (polarity)';
catalog['Reverse engineering'] = 'Reverse-Engineering (Nachkonstruktion)';
catalog['Review and intuition why we divide by n-1 for the unbiased sample variance'] = '\u00dcberpr\u00fcfung und Intuition, warum wir durch n-1 f\u00fcr die korrigierte, unverzerrte Stichprobenvarianz dividieren';
catalog['Review big history vocabulary and take the glossary challenge.'] = 'Review big history vocabulary and take the glossary challenge.';
catalog['Review how to demonstrate if two angles are identical or different.'] = 'Review how to demonstrate if two angles are identical or different.';
catalog['Review how to find unknown parts of triangles.'] = 'Review how to find unknown parts of triangles.';
catalog['Review of B cells,  CD4+ T cells and CD8+ T cells'] = 'Review of B cells,  CD4+ T cells and CD8+ T cells';
catalog['Review of China US currency situation'] = 'Review of China US currency situation';
catalog['Review of Enterprise Value and comparing it to EBITDA'] = 'Review of Enterprise Value and comparing it to EBITDA';
catalog['Review of balance sheets.  Difference between illiquidity and insolvency.'] = 'Review of balance sheets.  Difference between illiquidity and insolvency.';
catalog['Review of how to identify and graph circles, ellipses, parabolas, and hyperbolas.'] = '\u00dcberblick dar\u00fcber wie man Kreise, Ellipsen, Parabeln und Hyperbeln erkennt und skizziert.';
catalog['Review of revenue and cost graphs for a monopoly'] = 'Review of revenue and cost graphs for a monopoly';
catalog['Review of the difference uses of the words contango, backwardation, contango theory and theory of normal backwardation'] = 'Review of the difference uses of the words contango, backwardation, contango theory and theory of normal backwardation';
catalog['Review of triangle properties'] = 'Review of triangle properties';
catalog['Review of what we\'ve learned.  Introduction to the standard deviation.'] = '\u00dcberpr\u00fcfen was wir gelernt haben. Einf\u00fchrung in die Standardabweichung.';
catalog['Reviewing the population mean, sample mean, population variance, sample variance and building an intuition for why we divide by n-1 for the unbiased sample variance'] = '\u00dcberpr\u00fcfen des Mittelwerts der Grundgesamtheit und der Stichprobe, der Varianz der Grundgesamtheit und der Stichprobe und Aufbau eines Gef\u00fchls daf\u00fcr, warum wir durch n-1 dividieren f\u00fcr die korrigierte, unverzerrte Stichprobenvarianz';
catalog['Revisiting what a function is and how we can define and visualize one.'] = 'Wiederholung zum Thema Funktionen, und wie wir sie definieren und visualisieren k\u00f6nnen.';
catalog['Reviving traditional Korean celadons'] = 'Reviving traditional Korean celadons';
catalog['Rewriting a fraction as a decimal'] = 'Umschreiben von einem Bruch als Dezimalzahl';
catalog['Rewriting a quadratic function to find roots and vertex'] = 'Umformen einer quadratischen Funktion um die Wurzel und den Scheitelpunkt zu finden';
catalog['Rewriting fraction as a decimal to the hundredths place'] = 'Umschreiben eines Bruchs als Dezimalzahl bis auf Hunderstel';
catalog['Rewriting fractions as decimals'] = 'Umschreiben von Bruchzahlen in Dezimalzahlen';
catalog['Rewriting quadratic expressions to reveal key features'] = 'Quadratische Ausdr\u00fccke umformulieren, um wichtige Merkmale zu offenbaren';
catalog['Reynolds, Lady Cockburn and Her Three Eldest Sons'] = 'Reynolds, Lady Cockburn und ihre drei \u00e4ltesten S\u00f6hne';
catalog['Rhapsody on the proof of pi = 4'] = 'Rhapsody on the proof of pi = 4';
catalog['Rhombus diagonals'] = 'Diagonalen von Rauten';
catalog['Ribera, Martyrdom of Saint Philip'] = 'Ribera, Martyrdom of Saint Philip';
catalog['Rice commencement speaker Salman Khan\'s address to the graduates focused on contributions of a different kind: He urged the students to do everything they can to "increase the net happiness in the world."Khan is the founder of the Khan Academy, a free online education platform and not-for-profit organization that has made waves in the field of education. In 2004, Khan\'s online tutorials for a young cousin gained a wider audience, and five years later he turned his collection of free educational videos into the online Khan Academy. Today, his more than 3,200 online tutorials attract 6 million viewers every month, and Time magazine recently named him one of the world\'s 100 most influential people.For more:  http://news.rice.edu/2012/05/12/khan-urges-graduates-to-increase-the-positivity-in-the-world/'] = 'Als Redner bei der akademischen Abschlussfeier der Rice Universit\u00e4t rief Salman Kahn den Absolventen in Erinnerung, auch Erfolge auf einer anderen Ebene zu erzielen: Er dr\u00e4ngte die Studenten, Alles zu tun, um "das Gl\u00fccks-Level in der ganzen Welt anzuheben". Kahn ist der Gr\u00fcnder der "Kahn Akademie", einer freien Lernplattform und ehrenamtlichen Organisation, die im Bereich der Bildung Wellen geschlagen hat: 2004 erreichten die Lernvideos von Kahn f\u00fcr seinen j\u00fcngeren Cousin ein breites Publikum, und f\u00fcnf Jahre sp\u00e4ter wird mit dieser Sammlung die "Kahn Akademie" er\u00f6ffnet. Heute erreichen seine mehr als 3.200 Online-Lektionen mehr als 6 Millionen Abrufe jeden Monat. Das "Time Magazine" hat ihn erst k\u00fcrzlich zu den 100 einflussreichsten Leuten der Welt gez\u00e4hlt. Weitere Informationen unter http://news.rice.edu/2012/05/12/khan-urges-graduates-to-increase-the-positivity-in-the-world/';
catalog['Richard Branson - Chairman of the Virgin Group'] = 'Richard Branson - Vorsitzender der Virgin Group';
catalog['Richard Branson, Chairman of the Virgin Group, shares his story as a successful entrepreneur with a diverse portfolio.'] = 'Richard Branson, Chairman of the Virgin Group, shares his story as a successful entrepreneur with a diverse portfolio.';
catalog['Richard Serra on his sculpture, <em>Band</em>: "you can walk inside and outside continuously and never stop\u201d for more than 70 feet. Learn more about what artists have to say in our online course, <a data-cke-saved-href="http://Richard Serra on his sculpture, Band: &quot;you can walk inside and outside continuously and never stop\u201d for more than 70 feet. Learn more about what artists have to say in our online course, Modern and Contemporary Art, 1945-1989." href="http://Richard Serra on his sculpture, Band: &quot;you can walk inside and outside continuously and never stop\u201d for more than 70 feet. Learn more about what artists have to say in our online course, Modern and Contemporary Art, 1945-1989.">Modern and Contemporary Art, 1945-1989</a>.'] = 'Richard Serra on his sculpture, <em>Band</em>: "you can walk inside and outside continuously and never stop\u201d for more than 70 feet. Learn more about what artists have to say in our online course, <a data-cke-saved-href="http://Richard Serra on his sculpture, Band: &quot;you can walk inside and outside continuously and never stop\u201d for more than 70 feet. Learn more about what artists have to say in our online course, Modern and Contemporary Art, 1945-1989." href="http://Richard Serra on his sculpture, Band: &quot;you can walk inside and outside continuously and never stop\u201d for more than 70 feet. Learn more about what artists have to say in our online course, Modern and Contemporary Art, 1945-1989.">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Richard Serra talks about discovering "the potential for what steel could be." To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = 'Richard Serra talks about discovering "the potential for what steel could be." To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Richard Serra talks about how this sculpture made of 4 identical plates, allows us to explore 3 very different spaces. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = 'Richard Serra talks about how this sculpture made of 4 identical plates, allows us to explore 3 very different spaces. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Richard Serra, "Band," 2006'] = 'Richard Serra, "Band," 2006';
catalog['Richard Serra, "Intersection II," 1992'] = 'Richard Serra, "Intersection II," 1992';
catalog['Richard Serra, "Torqued Ellipse IV," 1998'] = 'Richard Serra, "Torqued Ellipse IV," 1998';
catalog['Richter scale'] = 'Richterskala';
catalog['Riemann sums and definite integration'] = 'Riemann-Summen und endliche Integration';
catalog['Riemann sums and integrals'] = 'Riemann\'sche Summen und Rieman-Integrale';
catalog['Right triangles and the Pythagorean Theorem'] = 'Rechtwinklige Dreiecke und Satz des Pythagoras';
catalog['Right triangles and trigonometry'] = 'Rechtwinklige Dreiecke und Trigonometrie';
catalog['Riley and Michael talk about St. Michael the Archangel and sassy devil in <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=265193" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=265193"><em>Fall of the Rebel Angels</em></a>, 1715-25. This is from an imaginative tour at the Getty Center: The Supernatural in Art. <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'Riley and Michael talk about St. Michael the Archangel and sassy devil in <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=265193" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=265193"><em>Fall of the Rebel Angels</em></a>, 1715-25. This is from an imaginative tour at the Getty Center: The Supernatural in Art. <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['Ring opening reactions of epoxides: Acid-catalyzed'] = 'Ring opening reactions of epoxides: Acid-catalyzed';
catalog['Ring-opening reactions of epoxides'] = 'Ring\u00f6ffnungs-Reaktionen der Epoxide';
catalog['Ring-opening reactions of epoxides: Strong nucleophiles'] = 'Ring-opening reactions of epoxides: Strong nucleophiles';
catalog['Rise of Hitler and the Nazis'] = 'Aufstieg Hitlers und der Nazis';
catalog['Rise of Hitler'] = 'Rise of Hitler';
catalog['Rise of Mussolini and Fascism'] = 'Rise of Mussolini and Fascism';
catalog['Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Risk and reward introduction'] = 'Risk and reward introduction';
catalog['Risks of Keynesian thinking'] = 'Risks of Keynesian thinking';
catalog['Ritual of the bedside exam'] = 'Ritual of the bedside exam';
catalog['Road trip! (conquest, trade, & more conquest)'] = 'Road Trip! (Eroberung, Handel & mehr Eroberung)';
catalog['Rob Manning\'s interview with Khan Academy\'s Salman Khan before an appearance at Concordia University on Feb 5, 2013.'] = 'Rob Mannings Interview mit Salman Khan von der Khan Akademie vor einen Auftritt an der Concordia University am 5. Februar 2013.';
catalog['Robert Campin (also called the Master of Fl\u00e9malle), Christ and the Virgin, c. 1430-35, oil and gold on panel, 11-1/4 x 17-15/16 inches / 28.6 x 45.6 cm (Philadelphia Museum of Art)'] = 'Robert Campin (also called the Master of Fl\u00e9malle), Christ and the Virgin, c. 1430-35, oil and gold on panel, 11-1/4 x 17-15/16 inches / 28.6 x 45.6 cm (Philadelphia Museum of Art)';
catalog['Robert Campin, Merode Altarpiece, tempera and oil on panel, 1425-28 (Metropolitan Museum of Art) Speakers: Dr. Beth Harris, Dr. Steven Zucker For more about this altarpiece: http://smarthistory.org/Campin.html'] = 'Robert Campin, Merode Altarpiece, tempera and oil on panel, 1425-28 (Metropolitan Museum of Art) Speakers: Dr. Beth Harris, Dr. Steven Zucker For more about this altarpiece: http://smarthistory.org/Campin.html';
catalog['Robert Colescott, Beauty is in the Eye of the Beholder, 1979 (Portland Art Museum)\n\nSpeakers: Dr. Beth Harris, Steven Zucker'] = 'Robert Colescott, Beauty is in the Eye of the Beholder, 1979 (Portland Art Museum)\n\nSpeakers: Dr. Beth Harris, Steven Zucker';
catalog['Robert Delaunay, "Simultaneous Contrasts: Sun and Moon"'] = 'Robert Delaunay, "Simultaneous Contrasts: Sun and Moon"';
catalog['Robert Motherwell, Elegy to the Spanish Republic No. 57, 1957-60'] = 'Robert Motherwell, Elegy to the Spanish Republic No. 57, 1957-60';
catalog['Robert Motherwell, Elegy to the Spanish Republic No. 57, 1957-60, oil on canvas, 84 x 109-1/8 inches (San Francisco Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Robert Motherwell, Elegy to the Spanish Republic No. 57, 1957-60, oil on canvas, 84 x 109-1/8 inches (San Francisco Museum of Modern Art)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Robert Rauschenberg, Bed, 1955'] = 'Robert Rauschenberg, Bed, 1955';
catalog['Robert Rauschenberg, Bed, 1955, oil and pencil on pillow, quilt, and sheet on wood supports, 191.1 x 80 x 20.3 cm (The Museum of Modern Art) \u00a9 2013 Robert Rauschenberg Foundation\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Robert Rauschenberg, Bed, 1955, oil and pencil on pillow, quilt, and sheet on wood supports, 191.1 x 80 x 20.3 cm (The Museum of Modern Art) \u00a9 2013 Robert Rauschenberg Foundation\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Robert Smithson, Spiral Jetty, 1970 (Great Salt Lake, Utah)\n\nSpeakers: Dr. Beth Harris and Dr. Shana Gallagher-Lindsay \n\nhttp://www.smarthistory.org/earth-artsmithsons-spiral-jetty.html'] = 'Robert Smithson, Spiral Jetty, 1970 (Great Salt Lake, Utah)\n\nSpeakers: Dr. Beth Harris and Dr. Shana Gallagher-Lindsay \n\nhttp://www.smarthistory.org/earth-artsmithsons-spiral-jetty.html';
catalog['Robert Storr talks about Gerhard Richter\'s Cage paintings.'] = 'Robert Storr talks about Gerhard Richter\'s Cage paintings.';
catalog['Robert Storr talks about Gerhard Richter\'s painting "September".\n\nhttp://www.gerhard-richter.com/art/search/detail.php?13954\n\nF\u00fcr deutsche Untertitel bitte cc anklicken.'] = 'Robert Storr talks about Gerhard Richter\'s painting "September".\n\nhttp://www.gerhard-richter.com/art/search/detail.php?13954\n\nF\u00fcr deutsche Untertitel bitte cc anklicken.';
catalog['Robot construction'] = 'Robot construction';
catalog['Robots'] = 'Roboter';
catalog['Rock cycle'] = 'Rock cycle';
catalog['Rococo Art'] = 'Rococo Art';
catalog['Rococo'] = 'Rococo';
catalog['Rodin, The Gates of Hell'] = 'Rodin, The Gates of Hell';
catalog['Rogier van der Weyden, Crucifixion Triptych, c. 1445, oil on oak, center panel: 101 x 70 cm, each wing: 101 x 35 cm (Kunsthistorisches Museum, Vienna)'] = 'Rogier van der Weyden, Crucifixion Triptych, c. 1445, oil on oak, center panel: 101 x 70 cm, each wing: 101 x 35 cm (Kunsthistorisches Museum, Vienna)';
catalog['Rogier van der Weyden, Deposition, c. 1435 (Prado, Madrid)\n\nSpeakers: David Drogin and Beth Harris'] = 'Rogier van der Weyden, Deposition, c. 1435 (Prado, Madrid)\n\nSpeakers: David Drogin and Beth Harris';
catalog['Rogier van der Weyden, The Crucifixion, with the Virgin and Saint John the Evangelist Mourning, c. 1460, oil on panel, 71 x 73-3/8 inches / 180.3 x 186.4 cm (Philadelphia Museum of Art)'] = 'Rogier van der Weyden, The Crucifixion, with the Virgin and Saint John the Evangelist Mourning, c. 1460, oil on panel, 71 x 73-3/8 inches / 180.3 x 186.4 cm (Philadelphia Museum of Art)';
catalog['Rogier van der Weyden, The Last Judgment Polyptych, oil on panel partially transferred on canvas, 1446-52 (Mus\u00e9e de l\'H\u00f4tel Dieu, Beaune)'] = 'Rogier van der Weyden, The Last Judgment Polyptych, oil on panel partially transferred on canvas, 1446-52 (Mus\u00e9e de l\'H\u00f4tel Dieu, Beaune)';
catalog['Role of phagocytes in innate or nonspecific immunity'] = 'Die Aufgabe der Phagocyten bei der angeborenen oder unspezifischen Immunantwort';
catalog['Role of phagocytes in innate or nonspecific immunity.  Neutrophils, macrophages, and dendritic cells.  MHC II.'] = 'Rolle der Phagozyten in der angeborenen oder nichtspezifischen Immmunantwort. Neutrophile, Makrophagen und Dendritenzellen. MHC II.';
catalog['Role of the sarcoplasmic reticulum in muscle cells'] = 'Role of the sarcoplasmic reticulum in muscle cells';
catalog['Roman copy after a bronze statue from c. 330 B.C.E., 6&#39; 9&quot; high (Vatican Museums)'] = 'Roman copy after a bronze statue from c. 330 B.C.E., 6&#39; 9&quot; high (Vatican Museums)';
catalog['Roman, Head of Augustus, c. 27-25 BCE, bronze and glass, 46.2 cm high x 26.5 cm wide x 29.4 cm deep, (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik'] = 'Roman, Head of Augustus, c. 27-25 BCE, bronze and glass, 46.2 cm high x 26.5 cm wide x 29.4 cm deep, (British Museum, London)\n\nSpeakers: Pippa Couch and Rachel Ropeik';
catalog['Romanesque art'] = 'Romanesque art';
catalog['Romanesque'] = 'Romanesque';
catalog['Romanticism begins in France with the violent and exotic battle scenes of Gros and the famous shipwreck, the Raft of the Medusa, painted by Gericault. Soon after, two distinct trends emerge in French painting, one\u2014represented by the artist Delacroix\u2014was rebellious, and emphasized emotion, color and loose brushwork. The other\u2014which can be seen in the art of Ingres\u2014upheld tradition, and emphasized line and a highly finished surface.  Of course, things were more complicated\u2014but those were battle lines!'] = 'Romanticism begins in France with the violent and exotic battle scenes of Gros and the famous shipwreck, the Raft of the Medusa, painted by Gericault. Soon after, two distinct trends emerge in French painting, one\u2014represented by the artist Delacroix\u2014was rebellious, and emphasized emotion, color and loose brushwork. The other\u2014which can be seen in the art of Ingres\u2014upheld tradition, and emphasized line and a highly finished surface.  Of course, things were more complicated\u2014but those were battle lines!';
catalog['Romanticism in England'] = 'Romanticism in England';
catalog['Romanticism in France'] = 'Romanticism in France';
catalog['Romanticism in Germany'] = 'Romanticism in Germany';
catalog['Romanticism in Spain'] = 'Romanticism in Spain';
catalog['Romanticism in the United States'] = 'Romanticism in the United States';
catalog['Room: 1540-1650'] = 'Room: 1540-1650';
catalog['Room: 1650-1730'] = 'Room: 1650-1730';
catalog['Room: 1730 - 1765'] = 'Room: 1730 - 1765';
catalog['Room: 1760-1780'] = 'Room: 1760-1780';
catalog['Room: 1780-1810'] = 'Room: 1780-1810';
catalog['Room: 1810-1840'] = 'Room: 1810-1840';
catalog['Room: 1840-1890'] = 'Room: 1840-1890';
catalog['Room: 1890-1910'] = 'Room: 1890-1910';
catalog['Room: 1910-1914'] = 'Room: 1910-1914';
catalog['Room: 1914 & 1915'] = 'Room: 1914 & 1915';
catalog['Room: 1930'] = 'Room: 1930';
catalog['Room: 1940'] = 'Room: 1940';
catalog['Room: 1950'] = 'Room: 1950';
catalog['Room: 1960'] = 'Room: 1960';
catalog['Room: 1970 & 1980'] = 'Room: 1970 & 1980';
catalog['Room: 1990'] = 'Room: 1990';
catalog['Room: 2000'] = 'Room: 2000';
catalog['Room: JMW Turner'] = 'Room: JMW Turner';
catalog['Room: William Blake'] = 'Room: William Blake';
catalog['Rosa Bonheur, Plowing in the Nivernais (or The First Dressing), oil on canvas, 1849\n(Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Rosa Bonheur, Plowing in the Nivernais (or The First Dressing), oil on canvas, 1849\n(Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Rosa Bonheur, Sheep in the Highlands, 1857, oil on canvas, 46 x 65 cm (Wallace \nCollection, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe Wallace Collection suggests that this painting is likely the result of a trip that \nthe artist made to Scotland the previous year.'] = 'Rosa Bonheur, Sheep in the Highlands, 1857, oil on canvas, 46 x 65 cm (Wallace \nCollection, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe Wallace Collection suggests that this painting is likely the result of a trip that \nthe artist made to Scotland the previous year.';
catalog['Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Rosetta Stone, 196 B.C.E., granite, 114.4 cm x 72.3 x 27.9 cm or 45 x 28.5 x 11 inches, Ptolemaic Period (British Museum, London). Speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Rosso Fiorentino, The Dead Christ with Angels, c. 1524-7, oil on panel, 133.4 x 104.1 cm / 52-1/2 x 41 inches (Museum of Fine Arts, Boston)'] = 'Rosso Fiorentino, The Dead Christ with Angels, c. 1524-7, oil on panel, 133.4 x 104.1 cm / 52-1/2 x 41 inches (Museum of Fine Arts, Boston)';
catalog['Rosso Fiorentino, the Dead Christ with Angels'] = 'Rosso Fiorentino, the Dead Christ with Angels';
catalog['Rotating polygons 180 degrees about their center'] = 'Rotating polygons 180 degrees about their center';
catalog['Rotating segment about orgin example'] = 'Rotating segment about orgin example';
catalog['Rotation in R3 around the x-axis'] = 'Rotation in R3 around the x-axis';
catalog['Rotation of polygons example'] = 'Rotation of polygons example';
catalog['Rotation of polygons'] = 'Polygone drehen';
catalog['Rotation sensor'] = 'Rotation sensor';
catalog['Roth IRAs'] = 'Roth IRAs';
catalog['Rough footage of Tom Brokaw interviewing Sal at Education Nation'] = 'Aufnahmen von Tom Brokaws Interview mit Sal bei "Education Nation"';
catalog['Roughly 2400 years ago, Euclid of Alexandria wrote Elements which served as the world\'s geometry textbook until recently.  Studied by Abraham Lincoln in order to sharpen his mind and truly appreciate mathematical deduction, it is still the basis of what we consider a first year course in geometry.\n\nThis tutorial gives a bit of this background and then lays the conceptual foundation of points, lines, circles and planes that we will use as we journey through the world of Euclid.'] = 'Vor rund 2400 Jahren hat Euklid von Alexandria "Elemente" geschreiben, dass noch bis vor kurzem als Geometrie-Lehrbuch gedient hat. Studiert vom amerikanischen Pr\u00e4sidenten Abraham Lincoln, um seinen Verstand zu sch\u00e4rfen und wahre mathematische Deduktion zu lernen, ist es noch immer die Grundlage dessen, was wir als erstes Lehrbuch f\u00fcr den Geometrie-Unterricht bezeichnen.\n\nDieses Tutorial gibt einen kleinen Einblick in die Hintergr\u00fcnde und legt dann die Grundlage f\u00fcr Punkte, Geraden, Kreise und Ebenen, die du auf deiner Reise durch die Welt des Euklid noch h\u00e4ufiger benutzen wirst.';
catalog['Rounding Decimals'] = 'Dezimalzahlen Runden';
catalog['Rounding Whole Numbers 1'] = 'Ganze Zahlen runden 1';
catalog['Rounding Whole Numbers 2'] = 'Ganze Zahlen runden 2';
catalog['Rounding Whole Numbers 3'] = 'Ganze Zahlen runden 3';
catalog['Rounding decimals'] = 'Dezimalzahlen Runden';
catalog['Rounding is useful when you are trying to roughly estimate numbers.\n\nCommon Core Standard: 3.NBT.A.1 '] = 'Rundung ist n\u00fctzlich, wenn du versuchst, eine Zahl ungef\u00e4hr zu sch\u00e4tzen.\n\nCommon Core Standard: 3.NBT.A.1 ';
catalog['Rounding numbers'] = 'Runden von Zahlen';
catalog['Rounding to the nearest 10'] = 'Auf den n\u00e4chsten Zehner runden';
catalog['Rounding to the nearest 100'] = 'Auf den n\u00e4chsten Hunderter runden';
catalog['Rounding to the nearest ten or hundred'] = 'Auf den n\u00e4hsten Zehner oder Hunderter runden';
catalog['Rounding whole numbers 1'] = 'Runden ganzer Zahlen 1';
catalog['Rounding whole numbers 2'] = 'Runden ganzer Zahlen 2';
catalog['Rounding whole numbers 3'] = 'Runden ganzer Zahlen 3';
catalog['Rounding whole numbers'] = 'Ganze Zahlen runden';
catalog['Rounding'] = 'Runden';
catalog['Rover vision'] = 'Rover vision';
catalog['Rowspace and Left Nullspace'] = 'Rowspace and Left Nullspace';
catalog['Rowspace and left nullspace'] = 'Rowspace and left nullspace';
catalog['Rowspace solution to Ax = b example'] = 'Rowspace solution to Ax = b example';
catalog['Roy Lichtenstein, Rouen Cathedral Set V, 1969, oil and magna on canvas, 3 canvases: 63-5/8 x 141-7/8 x 1-3/4 inches or 161.61 x 360.36 x 4.45 cm  (SFMOMA) \n\nSpeakers: Dr,. Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/lichtensteins-rouen-cathedral-set-v.html'] = 'Roy Lichtenstein, Rouen Cathedral Set V, 1969, oil and magna on canvas, 3 canvases: 63-5/8 x 141-7/8 x 1-3/4 inches or 161.61 x 360.36 x 4.45 cm  (SFMOMA) \n\nSpeakers: Dr,. Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/lichtensteins-rouen-cathedral-set-v.html';
catalog['Royal palaces of Seoul'] = 'Royal palaces of Seoul';
catalog['Royals try to escape.  Champ De Mars Massacre.  Declaration of Pillnitz.  Movement towards becoming a Republic.'] = 'Royals try to escape.  Champ De Mars Massacre.  Declaration of Pillnitz.  Movement towards becoming a Republic.';
catalog['Rubens, Arrival (or Disembarkation) of Marie de Medici at Marseilles, Medici Cycle'] = 'Rubens, Arrival (or Disembarkation) of Marie de Medici at Marseilles, Medici Cycle';
catalog['Rubens, The Rape of the Daughters of Leucippus'] = 'Rubens, Raub der T\u00f6chter des Leukippos';
catalog['Rubens, the Consequences of War'] = 'Rubens, the Consequences of War';
catalog['Rule of Sarrus of determinants'] = 'Rule of Sarrus of determinants';
catalog['Running distance in a week'] = 'Laufstrecke in einer Woche';
catalog['Running laps'] = 'Wieviel Runden muss er laufen?';
catalog['Running time'] = 'Laufzeit';
catalog['Russia, the Kievan Rus, and the Mongols'] = 'Russland, der Kiewer Rus und die Mongolen';
catalog['S-wave shadow and P-wave detection patterns give us information about the core'] = 'S-Wellen Schatten und P-Wellen Muster geben uns Auskunft \u00fcber den Kern';
catalog['S-waves and P-waves'] = 'S-Wellen und P-Wellen';
catalog['SAT '] = 'SAT ';
catalog['SAT Math practice'] = 'SAT Math practice';
catalog['SAT Math: Level 1'] = 'SAT Math: Level 1';
catalog['SAT Math: Level 2'] = 'SAT Math: Level 2';
catalog['SAT Math: Level 3'] = 'SAT Math: Level 3';
catalog['SAT Math: Level 4'] = 'SAT Math: Level 4';
catalog['SAT Math: Level 5'] = 'SAT Math: Level 5';
catalog['SAT Reading and Writing practice'] = 'SAT Reading and Writing practice';
catalog['SAT Reading: Sentence completion'] = 'SAT Reading: Sentence completion';
catalog['SAT Writing: Identifying sentence errors'] = 'SAT Writing: Identifying sentence errors';
catalog['SAT Writing: Improving sentences'] = 'SAT Writing: Improving sentences';
catalog['SAT'] = 'SAT';
catalog['SN1 and SN2 reactions of alcohols'] = 'SN1 and SN2 reactions of alcohols';
catalog['SN1 and SN2'] = 'SN1 und SN2';
catalog['SN1 vs SN2'] = 'Vs SN1 SN2';
catalog['SN1, SN2, E1, E2, nucleophiles, nucleophilicity, basicity'] = 'SN1, SN2, E1, E2, Nucleophile, Nucleophilit\u00e4t, Basizit\u00e4t';
catalog['SN1/SN2/E1/E2'] = 'SN1/SN2/E1/E2';
catalog['SOPA and PIPA'] = 'SOPA und PIPA';
catalog['SPDT switch'] = 'SPDT switch';
catalog['SSA special cases including RSH'] = 'SSA special cases including RSH';
catalog['SSS to show a radius is perpendicular to a chord that it bisects'] = 'SSS to show a radius is perpendicular to a chord that it bisects';
catalog['SSS, SAS, ASA and AAS postulates for congruent triangles.  Showing AAA is only good for similarity and SSA is good for neither'] = 'SSS, SAS, ASA and AAS postulates for congruent triangles.  Showing AAA is only good for similarity and SSA is good for neither';
catalog['Sad angels'] = 'Sad angels';
catalog['Safe elevator'] = 'Sicherer Aufzug';
catalog['Sailing the Seas of Entrepreneurship'] = 'Sailing the Seas of Entrepreneurship';
catalog['Saint Mark&#39;s Basilica, Venice, begun 1063 and Anastasis (The Harrowing of Hell) mosaic, c. 1180-1200, Middle Byzantine. Speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Saint Mark&#39;s Basilica, Venice, begun 1063 and Anastasis (The Harrowing of Hell) mosaic, c. 1180-1200, Middle Byzantine. Speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Saint Mark\'s Basilica, Venice, begun 1063'] = 'Saint Mark\'s Basilica, Venice, begun 1063';
catalog['Saint Matthew from the Ebbo Gospel'] = 'Saint Matthew from the Ebbo Gospel';
catalog['Saint Matthew, folio 18 verso of the Ebbo Gospels (Gospel Book of the Archbishop of Reims) from Hautvillers, France, c. 816-35, ink and tempera on vellum, 10 1/4 x 8 1/4 (Biblioth&egrave;que Municipale, &Eacute;pernay) Speakers: Dr. Nancy Ross and Jennifer Freeman'] = 'Saint Matthew, folio 18 verso of the Ebbo Gospels (Gospel Book of the Archbishop of Reims) from Hautvillers, France, c. 816-35, ink and tempera on vellum, 10 1/4 x 8 1/4 (Biblioth&egrave;que Municipale, &Eacute;pernay) Speakers: Dr. Nancy Ross and Jennifer Freeman';
catalog['Sal Khan (with a severe cold!) on Future Talk'] = 'Sal Khan (mit einer starken Erk\u00e4ltung!) auf Future Talk';
catalog['Sal Khan Interview with IT Conversations - January 31,2010'] = 'Sal Khan Interview mit IT Conversations - 31. Januar 2010';
catalog['Sal Khan at Adobe Digital Marketing Summit 2013'] = 'Sal Khan beim Adobe Digital Marketing Summit 2013';
catalog['Sal Khan describes the scale of our Solar System.'] = 'Sal Khan describes the scale of our Solar System.';
catalog['Sal Khan on After Words, hosted by Nina Rees, National Alliance of Public Charter Schools.'] = 'Sal Khan spricht \u00fcber Am Ende der Worte. Nina Rees, National Alliance of Public Charter Schools, moderiert.';
catalog['Sal Khan on CNN Starting Point (Oct 5, 2012)'] = 'Sal Khan auf CNN Starting Point (5. Oktober 2012)';
catalog['Sal Khan on Digital and Physical Learning'] = 'Sal Khan \u00fcber digitales und physisches Lernen';
catalog['Sal Khan on Piers Morgan Tonight (Oct 5, 2012)'] = 'Sal Khan auf Piers Morgan Tonight (5. Oktober 2012)';
catalog['Sal Khan speaks at the Adobe Digital Marketing Summit 2013 on Thu, Mar 7, 2013 in Salt Lake City, UT.'] = 'SAL Khan spricht beim Adobe Digital Marketing Summit 2013 am Do, 7. M\u00e4rz 2013 in Salt Lake City, UT.';
catalog['Sal Khan, founder of Khan Academy, mixes it up with Idahoans at the Egyptian Theatre in ED SESSION III: Reinventing Our Education Future.'] = 'Sal Khan, Gr\u00fcnder der Khan Academy, mischt die B\u00fcrger von Idaho im "\u00c4gyptischen Theater" ordentlich auf bei "ED SESSION III: Neuerfindung der Zukunft der Bildung".';
catalog['Sal and Dr. Baker talk a bit about Blue Cross and Blue Shield'] = 'Sal und Dr. Baker reden ein wenig \u00fcber Blue Cross und Blue Shield';
catalog['Sal and Jay cover topics covered in college organic chemistry course.  Basic understanding of basic high school or college chemistry assumed (although there is some review).'] = 'Sal und Jay behandeln Themen aus der organischen Chemie. Grundkenntnisse in Chemie werden vorausgesetzt (allerdings werden einige Grundlagen wiederholt).';
catalog['Sal answers questions for Brainwave Magazine'] = 'Sal beantwortet Fragen des Brainwave-Magazin';
catalog['Sal answers questions for School Leadership Briefing'] = 'Sal beantwortet Fragen von "School Leadership Briefing"';
catalog['Sal answers questions for magazine (Sep 2011)'] = 'Sal beantwortet Fragen eines Magazins (September 2011)';
catalog['Sal answers questions for the Financial Times'] = 'Sal beantwortet Fragen der Financial Times';
catalog['Sal answers questions on August 26, 2011'] = 'Sal beantwortet Fragen am 26. August 2011';
catalog['Sal compares the possible outcomes of the federal budget negotiations around the "fiscal cliff."'] = 'Sal compares the possible outcomes of the federal budget negotiations around the "fiscal cliff."';
catalog['Sal does the 80 problems from the released questions from the California Standards Test for Geometry.  Basic understanding of Algebra I necessary.'] = 'Sal macht 80 \u00dcbungen aus den ver\u00f6ffentlichten Fragen des California Standards Test f\u00fcr Geometrie. Grundlegendes Algebra I Wissen ist erforderlich.';
catalog['Sal during Education Week (Sep 2011) 1'] = 'Sal auf der "Bildungswoche" (September 2011) 1';
catalog['Sal is asked to make some predictions for the year 2060'] = 'Sal wird gefragt, was er fuer das Jahr 2060 vorraussieht';
catalog['Sal on ABC News'] = 'SAL auf ABC News';
catalog['Sal on CNBC during Education Nation (Sep 2011)'] = 'Sal auf CNBC w\u00e4hrend "Education Nation" (Sep 2011)';
catalog['Sal on CNN Starting Point - speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)'] = 'Sal auf CNN Starting Point - es spricht \u00fcber die Khan Akademie und sein Buch, das "Eine-Welt-Schulhaus" (http://www.amazon.com/dp/1455508381?tag=khanacad-20)';
catalog['Sal on Dylan Ratigan show (3/22/2011)'] = 'Sal bei der "Dylan Ratigan show" (22.03.2011)';
catalog['Sal on Dylan Ratigan show'] = 'SAL in der Dylan Ratigan Show';
catalog['Sal on NPR speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)'] = 'Sal spricht bei NPR \u00fcber die Kahn Akadamie und sein Buch, das "Eine-Welt-Schulhaus" (http://www.amazon.com/dp/1455508381?tag=khanacad-20)';
catalog['Sal on panel at Summit'] = 'Sal auf der Leinwand beim Summit';
catalog['Sal on the Brian Lehrer Show speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)\n\nThe Brian Lehrer interview can also be found at http://www.wnyc.org/shows/bl/2012/oct/04/salman-khan-reimagines-education/'] = 'Sal spricht in der "Brian Lehrer"-Show \u00fcber die Khan Akademie und sein Buch, das "Eine-Welt-Schulhaus" (http://www.amazon.com/dp/1455508381?tag=khanacad-20)-\n\nDas Brian Lehrer Interview kann auch auf http://www.wnyc.org/shows/bl/2012/oct/04/salman-khan-reimagines-education/ gefunden werden';
catalog['Sal speaking with Diane Rehm about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)\n\nThe interview can also be found at: http://thedianerehmshow.org/shows/2012-10-03/salman-khan-one-world-schoolhouse-education-reimagined/transcript'] = 'Sal spricht mit Diane Rehm \u00fcber die Khan Academy und sein Buch, das "Eine-Welt-Schulhaus" (http://www.amazon.com/dp/1455508381?tag=khanacad-20)\n\nDas Interview ist zu finden unter: http://thedianerehmshow.org/shows/2012-10-03/salman-khan-one-world-schoolhouse-education-reimagined/transcript';
catalog['Sal speaking with Piers Morgan about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)'] = 'Sal spricht mit Piers Morgan \u00fcber die Khan Academy und sein Buch, das "Eine-Welt-Schulhaus" (http://www.amazon.com/dp/1455508381?tag=khanacad-20)';
catalog['Sal talks to CEO of the College Board, David Coleman'] = 'Sal talks to CEO of the College Board, David Coleman';
catalog['Sal talks to Elizabeth about why she joined the Khan Academy and what she hopes to accomplish here.'] = 'SAL spricht mit Elizabeth, warum sie der Khan Academy beitrat, und was sie hier zu Erreichen hofft.';
catalog['Sal talks to Marcos about what he has been working on and why he joined the Khan Academy'] = 'Sal spricht mit Marcos \u00fcber was er gearbeitet hat und warum er der Khan Academy beitrat';
catalog['Sal talks with Dr. Laura Bachrach about childhood growth'] = 'Sal talks with Dr. Laura Bachrach about childhood growth';
catalog['Sal talks with Larry Mantle about The One World School House (http://www.amazon.com/dp/1455508381?tag=khanacad-20)'] = 'Sal spricht mit Larry Mantle \u00fcber das Buch "The One World School House" (http://www.amazon.com/dp/1455508381?tag=khanacad-20)';
catalog['Sal talks with Professor Laurence Baker of Stanford Medical School'] = 'Sal talks with Professor Laurence Baker of Stanford Medical School';
catalog['Sal walking through the derivative intuition module made by Ben Eater'] = 'Sal besch\u00e4ftigt sich mit dem Modul Gesp\u00fcr f\u00fcr Ableitungen von Ben Eater';
catalog['Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination).  Clearly useful if you\'re looking to take that exam.  Probably still useful if you want to make sure you have a solid understanding of basic high school math.'] = 'Sal geht durch die 53 Problemstellungen des Praxistests, der unter http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf f\u00fcr das CAHSEE (California High School Exit Examination) zur Verf\u00fcgung steht. Sicher n\u00fctzlich wenn du diese Pr\u00fcfung machen willst. Wahrscheinlich auch sinnvoll, wenn du sicher sein willst, dass du ein grundlegendes Verst\u00e4ndnis von High school Mathematik hast.';
catalog['Sal works through problems in the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005).  You should take the practice tests on your own, grade them and then use these videos to understand the problems you didn\'t get or to review. Have fun!'] = 'Sal geht durch die Aufgaben der 11.Ausgabe des offiziellen GMAC GMAT Review (ISBN Nummer: 0-9765709-0-4 herausgegeben 2005). Du solltest die praktischen Tests alle durcharbeiten und korrigieren, und dann k\u00f6nnt ihr mit Hilfe der Videos die Aufgaben besser verstehen, mit denen ihr Schwierigkeiten hattet. Viel Vergn\u00fcgen!';
catalog['Sal works through the 155 data sufficiency questions in chapter 6 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)'] = 'Sal arbeitet sich durch 155 Data Sufficiency Fragen in Kapitel 6 der 11. Ausgabe des offiziellen GMAC GMAT Review (ISBN Number: 0-9765709-0-4 herausgegeben 2005)';
catalog['Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)'] = 'Sal geht durch  249 Fragen zu Probleml\u00f6sungen in Kapitel 5 der 11. Ausgabe des offiziellen GMAC GMAT Review (ISBN Number: 0-9765709-0-4 herausgegeben 2005)';
catalog['Sal\'s interview on the One World Schoolhouse (C-SPAN 2 After Words)'] = 'Sals Interview \u00fcber das "Eine-Welt-Schulhaus" (C-SPAN 2 nach W\u00f6rter)';
catalog['Sal\'s old Maclaurin and Taylor series tutorial'] = 'Sal\'s altes Maclaurin und Taylor Reihe Tutorial';
catalog['Sal\'s old angle videos'] = 'Sals alte Videos \u00fcber Winkel';
catalog['Sal\'s old statistics videos'] = 'Sal\'s old statistics videos';
catalog['Sal\'s old videos on probability.  Covered better in other tutorials but here because some people actually like these better.'] = 'Sal\'s old videos on probability.  Covered better in other tutorials but here because some people actually like these better.';
catalog['Sal\'s random predictions for the year 2060'] = 'Sal\'s random predictions for the year 2060';
catalog['Salman Khan (with a severe cold!) on Future Talk'] = 'Salman Khan (mit einer starken Erk\u00e4ltung!) auf Future Talk';
catalog['Salman Khan Describes Future Classrooms with Blended Learning'] = 'Salman Khan beschreibt k\u00fcnftige Klassenr\u00e4ume mit vernetztem Lernen';
catalog['Salman Khan Interview with Mixergy.com'] = 'Salman Khans Interview mit Mixergy.com';
catalog['Salman Khan Speaks at GEL (Good Experience Live) Conference'] = 'Salman Khan spricht auf der GEL (Good Experience Live) Konferenz';
catalog['Salman Khan Talk at the MIT Club of Northern California'] = 'Gespr\u00e4ch mit Salman Khan im MIT Club der Northern California';
catalog['Salman Khan and Beth Harris discuss Leonardo da Vinci\'s painting, "Mona Lisa," as a symbol of Western culture and as a renaissance portrait.'] = 'Salman Khan und Beth Harris diskutieren Leonarda da Vincis Gem\u00e4lde, die "Mona Lisa", als ein Symbol der westlichen Kultur und als ein Portrait der Renaissance.';
catalog['Salman Khan and Steven Zucker discuss Gerhard Richter\'s Betty, 1988, oil on canvas, 102 x 72 cm. (Saint Louis Art Museum)'] = 'Salman Khan and Steven Zucker discuss Gerhard Richter\'s Betty, 1988, oil on canvas, 102 x 72 cm. (Saint Louis Art Museum)';
catalog['Salman Khan at Rice University\'s 2012 commencement'] = 'Salman Khan bei der Abschlussfeier der Rice Universit\u00e4t 2012';
catalog['Salman Khan at TiEcon 2011'] = 'Salman Khan auf der TiEcon 2011';
catalog['Salman Khan gives commencement address at MIT (2012)'] = 'Salman Khan h\u00e4lt Festansprache am MIT (2012)';
catalog['Salman Khan interview with NPR\'s All Things Considered on 12/28/2009'] = 'Salman Khan Interview mit NPR\'s All Things Considered am 28.12.2009';
catalog['Salman Khan interviewed on NPR\'s On Point'] = 'Salman Khan Interviewed auf NPR\'s On Point';
catalog['Salman Khan of the Khan Academy on CNN'] = 'Salman Khan von der Khan Academy auf CNN';
catalog['Salman Khan on ABC News Person of the Week'] = 'Salman Khan auf ABC News Person der Woche';
catalog['Salman Khan on Big Think'] = 'Salman Khan auf Big Think';
catalog['Salman Khan on CNN'] = 'Salman Khan auf CNN';
catalog['Salman Khan on Charlie Rose 2013'] = 'Salman Khan \u00fcber Charlie Rose 2013';
catalog['Salman Khan on Charlie Rose on May 4, 2011'] = 'Salman Khan bei Charlie Rose am 4. Mai 2011';
catalog['Salman Khan on Charlie Rose'] = 'Salman Khan bei Charlie Rose';
catalog['Salman Khan on KQED MindShift'] = 'Salman Khan auf KQED MindShift';
catalog['Salman Khan on Marketplace (NPR) on 5-24-2011'] = 'Salman Khan bei Marketplace (NPR) am 24.05.2011';
catalog['Salman Khan on Oregon Public Broadcasting'] = 'Salman Khan bei Oregon Public Broadcasting';
catalog['Salman Khan on the future of learning.'] = 'Salman Khan \u00fcber die Zukunft des Lernens.';
catalog['Salman Khan speaks at GEL (Good Experience Live) Conference'] = 'Salman Khan spricht auf der GEL (Good Experience Live) Konferenz';
catalog['Salman Khan spoke to Googlers in Mountain View, California on March 15, 2011 about Khan Academy: A World Class Education to Anyone, Anywhere.\n\nSalman Khan is the founder and faculty of Khan Academy http://www.khanacademy.org/ a not-for-profit educational organization. With the stated mission "of providing a high quality education to anyone, anywhere", the Academy supplies a free online collection of over 2,000 videos on mathematics, history, finance, physics, chemistry, astronomy, and economics.\n\nIn late 2004, Khan began tutoring his cousin in mathematics using Yahoo!\'s Doodle notepad. When other relatives and friends sought his tutorial, he decided it would be more practical to distribute the tutorials on YouTube. Their popularity there and the testimonials of appreciative students prompted Khan to quit his job in finance in 2009 and focus on the Academy full-time.\n\nKhan Academy\'s channel on YouTube http://www.youtube.com/user/khanacademy has 45+ million views so far and it\'s one of YouTube\'s most successful academic partners.\n\nIn September 2010, Google announced they would be providing the Khan Academy with $2 million to support the creation of more courses and to enable the Khan Academy to translate their core library into the world\'s most widely spoken languages, as part of Project 10^100, http://www.project10tothe100.com/.\n\nKhan is aiming at making nothing less than "tens of thousands" of tutorials offering the "first free, world-class virtual school where anyone can learn anything."'] = 'Salman Khan sprach mit Google-Mitarbeitern in Mountain View, Kalifornien am 15. M\u00e4rz 2011 \u00fcber die Khan Academy: Weltklasse Bildung f\u00fcr Jeden, \u00dcberall.\n\nSalman Khan ist der Gr\u00fcnder und der Fakult\u00e4t der Khan Academy http://www.khanacademy.org/ , eine p\u00e4dagogische non-Profit-Organisation. Mit dem erkl\u00e4rten Ziel "eine qualitativ hochwertige Ausbildung f\u00fcr Jedermann, \u00dcberall zu erm\u00f6glichen", liefert die Akademie eine kostenlose Sammlung von mehr als 2.000 Videos in den Bereichen Astronomie, Physik, Chemie, Mathematik, Geschichte, Finanzen und Wirtschaft.n\nEnde 2004 begann Khan mit Nachhilfe f\u00fcr seinen Cousin in Mathematik mit dem Yahoo! Doodle Editor. Als andere Verwandte und Freunde seine Nachhilfe w\u00fcnschten, entschied er, es w\u00e4re praktischer, die Tutorials auf YouTube zu verteilen. Ihre Popularit\u00e4t dort und die R\u00fcckmeldung der zuschauenden Sch\u00fcler veranlassten Khan, seinen Job im Finanzwesen 2009 zu k\u00fcndigen, und sich Vollzeit um die Akademie zu k\u00fcmmern.\n\nDer Khan-Academy-Kanal auf YouTube http://www.youtube.com/user/khanacademy verzeichnet bisher weit \u00fcber 45 Millionen Zugriffe und ist eines der erfolgreichsten akademischen Programme dort.\n\nIm September 2010 k\u00fcndigte Google an, dass es die Khan Academy mit $2 Millionen bei die Schaffung von neuen Unterrichtsmaterialien unterst\u00fctzen, und dazu beitragen wird, das Kernprogramm der Khan Academy in die am h\u00e4ufigsten gesprochenen Sprachen der Welt zu \u00fcbersetzen, als Teil des Projekt 10 ^ 100, http://www.project10tothe100.com/.\n\nKhan beabsichtigt nicht weniger als "zehntausende" Tutorials zu schaffen, die als "erste freie, virtuelle Schule auf Weltklasse-Niveau, bei der  Jeder Alles lernen kann" in die Geschichte eingeht.';
catalog['Salman Khan talk at Castilleja School in Palo Alto, CA on January 5th, 2010'] = 'Salman Khan spricht in der Castilleja Schule in Palo Alto, CA am 5. Januar 2010';
catalog['Salman Khan talk at Castilleja School on January 5th, 2010'] = 'Salman Khan spricht an der Castilleja Schule am 5. Januar 2010';
catalog['Salman Khan talk at TED 2011 (from ted.com)'] = 'Salman Khan spricht bei TED 2011 (von ted.com)';
catalog['Salman Khan talk at TED 2011'] = 'Salman Khan-Vortrag bei TED 2011';
catalog['Salman speaking with LinkedIn CEO and employees on April 15, 2011'] = 'Salman speaking mit LinkedIn CEO und Mitarbeitern am 15. April 2011';
catalog['Saltatory conduction in neurons'] = 'Die saltatorische Erregungsleitung bei Nervenzellen';
catalog['Salvador Dal\u00ed, Metamorphosis of Narcissus, 1937, oil on canvas, 51.1 x 78.1 cm \n(Tate Modern, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Salvador Dal\u00ed, Metamorphosis of Narcissus, 1937, \u00d6l auf Leinwand, 51,1 x 78,1 cm \n(Tate Modern, London)\n\nSprecher: Dr. Beth Harris und Dr. Steven Zucker';
catalog['Salvador Dal\u00ed, The Persistence of Memory, 1931 (The Museum of Modern Art)\n\nSpeakers: Sal Khan & Steven Zucker'] = 'Salvador Dal\u00ed, The Persistence of Memory, 1931 (The Museum of Modern Art)\n\nSpeakers: Sal Khan & Steven Zucker';
catalog['Sample and population standard deviation'] = 'Sample and population standard deviation';
catalog['Sample and population variance'] = 'Sample and population variance';
catalog['Sample mean versus population mean'] = 'Stichproben-Mittelwert versus Mittelwert der Grundgesamtheit';
catalog['Sample questions from the A.P. Calculus AB and BC exams (both multiple choice and free answer).'] = 'Beispielfragen aus dem A.P. Analysis AB- und BC-Pr\u00fcfungen (sowohl multiple-Choice und freie Antwort).';
catalog['Sample spaces for compound events'] = 'Beispielr\u00e4ume f\u00fcr zusammengesetzte Ereignisse';
catalog['Sample standard deviation and bias'] = 'Stichproben-Standardabweichung und Verzerrung';
catalog['Sample variance'] = 'Stichprobenvarianz';
catalog['Sampling distribution example problem'] = 'Stichproben Verteilung Beispiel';
catalog['Sampling distribution of the sample mean 2'] = 'Stichprobenverteilung des Stichproben-Mittelwerts 2';
catalog['Sampling distribution of the sample mean'] = 'Verteilung der Stichproben-Mittelwerte';
catalog['Sampling distribution'] = 'Sampling distribution';
catalog['Samurai, Daimyo, Matthew Perry, and Nationalism'] = 'Samurai, Daimy\u014d, Matthew Perry, und Nationalismus';
catalog['San Vitale is one of the most important surviving examples of Byzantine architecture and mosaic work. It was begun in 526 or 527 under Ostrogothic rule. It was consecrated in 547 and completed soon after.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'San Vitale is one of the most important surviving examples of Byzantine architecture and mosaic work. It was begun in 526 or 527 under Ostrogothic rule. It was consecrated in 547 and completed soon after.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['San Vitale'] = 'San Vitale';
catalog['Sander, Portraits'] = 'Sander, Portraits';
catalog['Sanjayan discusses the field of conservation science and considers the future of the biosphere.'] = 'Sanjayan discusses the field of conservation science and considers the future of the biosphere.';
catalog['Sanjayan: Visions of the future'] = 'Sanjayan: Visions of the future';
catalog['Sant\'Apollinare in Classe, Ravenna, Italy, c. 533-49'] = 'Sant\'Apollinare in Classe, Ravenna, Italy, c. 533-49';
catalog['Sant\'Apollinare in Classe, Ravenna, Italy, c. 533-49\n(apse mosaic, 6th century,  triumphal arch mosaics,  likely c. 7th-12th centuries)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Sant\'Apollinare in Classe, Ravenna, Italy, c. 533-49\n(apse mosaic, 6th century,  triumphal arch mosaics,  likely c. 7th-12th centuries)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Santa Prassede (Praxedes)'] = 'Santa Prassede (Praxedes)';
catalog['Sarcomere length-tension relationship'] = 'Sarcomere length-tension relationship';
catalog['Sarcophagus of Junius Bassus'] = 'Sarkophag des Junius Bassus';
catalog['Sarcophagus of Junius Bassus, marble, 359 C.E. (Treasury of Saint Peter\'s Basilica)\n\nPlease note that due to photography restrictions, the images used in the video above\nshow the plaster cast on display in the Vatican Museum. Nevertheless, the audio conversation\nwas recorded in the treasury in Saint Peter\'s Basilica, in front of the original sarcophagus.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker \n\nhttp://www.smarthistory.org/sarcophagus-of-junius-bassus.html'] = 'Sarcophagus of Junius Bassus, marble, 359 C.E. (Treasury of Saint Peter\'s Basilica)\n\nPlease note that due to photography restrictions, the images used in the video above\nshow the plaster cast on display in the Vatican Museum. Nevertheless, the audio conversation\nwas recorded in the treasury in Saint Peter\'s Basilica, in front of the original sarcophagus.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker \n\nhttp://www.smarthistory.org/sarcophagus-of-junius-bassus.html';
catalog['Sargent, Carnation, Lily, Lily, Rose'] = 'Sargent, Carnation, Lily, Lily, Rose';
catalog['Save facility'] = 'Einrichtung speichern';
catalog['Saving Earth from becoming a mushroom farm.'] = 'Saving Earth from becoming a mushroom farm.';
catalog['Scalar field line integral independent of path direction'] = 'Scalar field line integral independent of path direction';
catalog['Scalar matrix multiplication'] = 'Skalar-Matrix-Multiplikation';
catalog['Scalar multiplication'] = 'Skalare Multiplikation';
catalog['Scale drawings'] = 'Zeichnungen im Ma\u00dfstab';
catalog['Scale of Distance to Closest Stars'] = 'Ausma\u00df der Entfernung zu den n\u00e4chstgelegenen Sternen';
catalog['Scale of Earth and  Sun'] = 'Ma\u00dfstab von Erde und Sonne';
catalog['Scale of Solar System'] = 'Ausma\u00df des Sonnensystems';
catalog['Scale of distance to closest stars'] = 'Scale of distance to closest stars';
catalog['Scale of earth and  sun'] = 'Scale of earth and  sun';
catalog['Scale of earth, sun, galaxy and universe'] = 'Die Gr\u00f6\u00dfenverh\u00e4ltnisse von Erde, Sonne, Milchstra\u00dfe und Universum';
catalog['Scale of the Galaxy'] = 'Ma\u00dfstab der Galaxie';
catalog['Scale of the galaxy'] = 'Scale of the galaxy';
catalog['Scale of the large'] = 'Scale of the large';
catalog['Scale of the small and large'] = 'Masstab des Kleinen und des Gro\u00dfen';
catalog['Scale of the small'] = 'Scale of the small';
catalog['Scale of the universe'] = 'Gr\u00f6\u00dfenverh\u00e4ltnisse im Weltall';
catalog['Scalene, isosceles, equilateral, acute, right, and obtuse triangles'] = 'Ungleichseitige, gleichschenkelige, gleichseitigen, spitzwinkelige, rechtwinkelige und stumpfwinkelige Dreiecke';
catalog['Scaling down a triangle by half'] = 'Scaling down a triangle by half';
catalog['Scaling up a unit vector'] = 'Scaling up a unit vector';
catalog['Scaling vectors'] = 'Vektoren skalieren';
catalog['Scarcity, possibilities, preferences and opportunity cost'] = 'Knappheit, M\u00f6glichkeiten, Pr\u00e4ferenzen und Opportunit\u00e4tskosten';
catalog['Scatter plot'] = 'Scatter plot';
catalog['Scatter plots'] = 'Streudiagramme';
catalog['Schad, Self-Portrait'] = 'Schad, Self-Portrait';
catalog['Schiele, Hermits'] = 'Schiele, Hermits';
catalog['Schiele, Seated Male Nude (Self-Portrait)'] = 'Schiele, Seated Male Nude (Self-Portrait)';
catalog['Schlieffen Plan and the First Battle of the Marne'] = 'Schlieffen-Plan und die erste Schlacht an der Marne';
catalog['School Leadership Briefing (Sep 12 2011)'] = 'School Leadership Briefing (12.09.2011)';
catalog['School Leadership Briefing Questions (Sep 12 2011) 2'] = 'Fragen beim School Leadership Briefing (12.09.2011) - Teil 2';
catalog['School administrators Alyssa Gallagher and Jeff Baier of the Los Altos, California, school district are testing out Khan Academy software in their classrooms.'] = 'Die Schuldirektoren Alyssa Gallagher und Jeff Baier des Los Altos Schulbezirks in Kalifornien testen die Khan Academy Software in ihren Klassen.';
catalog['School pilots'] = 'Schul-Pilotversuche';
catalog['School redesign - intro and big ideas'] = 'School redesign - intro and big ideas';
catalog['School redesign overview'] = 'School redesign overview';
catalog['Schwann cells'] = 'Schwann cells';
catalog['Schwitters, Merzbild 32A, The Cherry Picture'] = 'Schwitters, Merzbild 32A, The Cherry Picture';
catalog['Science '] = 'Wissenschaft ';
catalog['Science Bulletins: Evolution in Action\u2014Isolation and Speciation in the Lower Congo Region'] = 'Science Bulletins: Evolution in Action\u2014Isolation and Speciation in the Lower Congo Region';
catalog['Science Bulletins: Expedition Rusinga\u2014Uncovering Our Adaptive Origins'] = 'Science Bulletins: Expedition Rusinga\u2014Uncovering Our Adaptive Origins';
catalog['Science'] = 'Wissenschaft';
catalog['Scientific Notation 2'] = 'Wissenschaftliche Schreibweise 2';
catalog['Scientific Notation I'] = 'Wissenschaftliche Schreibweise 1';
catalog['Scientific Notation'] = 'Wissenschaftliche Schreibweise';
catalog['Scientific notation I'] = 'Wissenschaftliche Schreibweise 1';
catalog['Scientific notation example 2'] = 'Wissenschaftliche Schreibweise - Beispiel 2';
catalog['Scientific notation examples'] = 'Wissenschaftliche Schreibweise - Beispiele';
catalog['Scientific notation intuition'] = 'Gef\u00fchl f\u00fcr die wissenschaftliche Schreibweise entwickeln';
catalog['Scientific notation'] = 'Wissenschaftliche Schreibweise';
catalog['Scientists and engineers often have to deal with super huge (like 6,000,000,000,000,000,000,000) and super small numbers (like 0.0000000000532) .  How can they do this without tiring their hands out?  How can they look at a number and understand how large or small it is without counting the digits?  The answer is to use scientific notation.\n\nIf you come to this tutorial with a basic understanding of positive and negative exponents, it should leave you with a new appreciation for representing really huge and really small numbers!'] = 'Wissenschaftler und Ingenieure m\u00fcssen sich oft mit riesengro\u00dfen Zahlen (wie zum Beispiel 6,000,000,000,000,000,000,000) oder winzig kleinen Zahlen (wie 0.0000000000532) herumschlagen. Wie k\u00f6nnen sie vermeiden, ihre H\u00e4nde zu \u00fcberanstrengen? Wie k\u00f6nnen sie eine Zahl anschauen und erkennen, wie gro\u00df oder klein sie ist, ohne die Ziffern zu z\u00e4hlen? Die L\u00f6sung ist die wissenschaftliche Schreibweise.\n\nWenn ihr dieses Tutorial mit einem grunds\u00e4tzlichen Verst\u00e4ndnis von positiven und negativen Exponenten beginnt, dann werdet ihr die Darstellung von riesigen und winzigen Zahlen neu zu sch\u00e4tzen lernen!';
catalog['Scientists and engineers often have to deal with super huge (like 6,000,000,000,000,000,000,000) and super small numbers (like 0.0000000000532) .  How can they do this without tiring their hands out?  How can they look at a number and understand how large or small it is without counting the digits?  The answer is to use scientific notation.\n\nIf you come to this tutorial with a basic understanding of positive and negative exponents, it should leave you with a new appreciation for representing really huge and really small numbers!\n\nCommon Core Standard: 8.EE.A.4'] = 'Wissenschaftlicher und Ingenieure haben oft mit sehr gro\u00dfen Zahlen (wie 6,000,000,000,000,000,000,000) und sehr kleinen Zahlen (wie 0.0000000000532) zu tun. Wie k\u00f6nnen sie das ohne Erm\u00fcdung hinbekommen? Wie k\u00f6nnen sie einen Blick auf eine Zahl werfen und verstehen, wie gro\u00df oder klein sie ist, ohne die Stellen zu z\u00e4hlen? Die Antwort liegt in der Verwendung der wissenschaftlichen Schreibweise.\n\nWenn du zu diesem Tutorial ein Grundverst\u00e4ndnis positiver und negativer Exponenten mitbringst, sollte es bei dir eine neue Wertsch\u00e4tzung f\u00fcr die Darstellung wirklich gro\u00dfer und wirklich kleiner Zahlen hinterlassen.\n\nCommon Core Standard: 8.EE.A.4';
catalog['Scott Cook - Founder and Chairman of the Executive Committee, Intuit'] = 'Scott Cook - Founder and Chairman of the Executive Committee, Intuit';
catalog['Scratchpad not available'] = 'Schmierzettel nicht verf\u00fcgbar';
catalog['Scroobius Pip is a leading light of the UK&#39;s spoken word scene. In this film he performs a new poem written in response to Jake and Dinos Chapman&#39;s artwork <em>The Chapman Family Collection</em>.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.'] = 'Scroobius Pip is a leading light of the UK&#39;s spoken word scene. In this film he performs a new poem written in response to Jake and Dinos Chapman&#39;s artwork <em>The Chapman Family Collection</em>.&nbsp;<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.';
catalog['Search for your facility\'s address or name to find its location on the map (enter to search)'] = 'Die Adresse oder Lage Deiner Einrichtung eingeben, um es auf der Karte zu finden (eingeben zu suchen)';
catalog['Search results for \'%s\''] = 'Search results for \'%s\'';
catalog['Seasons aren\'t dictated by closeness to sun'] = 'Seasons aren\'t dictated by closeness to sun';
catalog['Secant (sec), cosecant (csc) and cotangent (cot) example'] = 'Sekans (sec), Kosekans (csc) und Kotangens (cot) Beispiel';
catalog['Second Regression Example'] = 'Zweites Beispiel zu Regression';
catalog['Second derivative test'] = 'Second derivative test';
catalog['Second example of line integral of conservative vector field'] = 'Second example of line integral of conservative vector field';
catalog['Second fundamental theorem of calculus application'] = 'Anwendung des zweiten Fundamentalsatzes der Analysis';
catalog['Second in a series of videos that introduces human prehistory, this video describes how our human ancestors spread throughout Africa and then into other regions such as Australia and Europe. How did they reach Australia so early on? What happened when our ancestors encountered Neanderthals?'] = 'Second in a series of videos that introduces human prehistory, this video describes how our human ancestors spread throughout Africa and then into other regions such as Australia and Europe. How did they reach Australia so early on? What happened when our ancestors encountered Neanderthals?';
catalog['Second order differential equations'] = 'Differentialgleichungen zweiter Ordnung';
catalog['Second order linear equations'] = 'Zweiter Ordnung lineare Gleichungen';
catalog['Second part of the Bernoulli\'s Equation proof. Beginning of a problem that uses the equation.'] = 'Second part of the Bernoulli\'s Equation proof. Beginning of a problem that uses the equation.';
catalog['Second part of the example that uses Bernoulli\'s equation.'] = 'Zweiter Teil des Beispiels, welches die Bernoulli Gleichung verwendet.';
catalog['Second part of the introduction to logarithm properties.'] = 'Zweiter Teil der Einf\u00fchrung in die Eigenschaften von Logarithmen';
catalog['Second part of using the Laplace Transform to solve a differential equation.'] = 'Zweiter Teil der Verwendung einer Laplace-Transformation um eine Differentialgleichung zu l\u00f6sen.';
catalog['Second regression example'] = 'Zweites Beispiel zu Regression';
catalog['Second set of age word problems'] = 'Zweiter Teil von Textaufgaben zu Alter';
catalog['Secondary Active Transport in the Nephron'] = 'Sekund\u00e4r aktiver Transport im Nephron';
catalog['Secondary active transport in the nephron'] = 'Secondary active transport in the nephron';
catalog['Secondary fronts of WWI'] = 'Secondary fronts of WWI';
catalog['Section 2'] = 'Section 2';
catalog['Section 3'] = 'Section 3';
catalog['Section 5'] = 'Section 5';
catalog['Section 6'] = 'Section 6';
catalog['Section 8'] = 'Section 8';
catalog['Secure and wire the motors'] = 'Secure and wire the motors';
catalog['See conservators in action and learn about the work a conservator does in different media.'] = 'See conservators in action and learn about the work a conservator does in different media.';
catalog['See how ADH acts on blood vessels and the kidney to raise blood pressure.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how ADH acts on blood vessels and the kidney to raise blood pressure.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See how Aldosterone acts on the alpha-intercalated cell to remove protons (acid) from the blood.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how Aldosterone acts on the alpha-intercalated cell to remove protons (acid) from the blood.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See how Aldosterone effects the principal cells of the kidney to raise BP and lower potassium.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how Aldosterone effects the principal cells of the kidney to raise BP and lower potassium.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See how Angiotensin 2 effects 4 target "organs" to increase blood pressure.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how Angiotensin 2 effects 4 target "organs" to increase blood pressure.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See how Atherosclerosis (Fat in the blood vessel wall) hardens the arterial wall and makes it harder for blood to flow through.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how Atherosclerosis (Fat in the blood vessel wall) hardens the arterial wall and makes it harder for blood to flow through.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See how Renin and ACE work to cut Angiotensinogen down to size!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how Renin and ACE work to cut Angiotensinogen down to size!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See how a wire carrying a current creates a magnetic field.'] = 'See how a wire carrying a current creates a magnetic field.';
catalog['See how arteries behave like sling shots, shooting blood (not rocks) onwards!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how arteries behave like sling shots, shooting blood (not rocks) onwards!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See how contractility, Ea (arterial elastance), and preload each have an effect on PV Boxes.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how contractility, Ea (arterial elastance), and preload each have an effect on PV Boxes.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See how each of these terms tells us something different about a solution.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how each of these terms tells us something different about a solution.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See how hyaline arteriolosclerosis (Protein in the arterial wall) causes hardening of the blood vessels.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how hyaline arteriolosclerosis (Protein in the arterial wall) causes hardening of the blood vessels.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See how hyperplastic arteriolosclerosis (Protein in the arterial wall) makes it difficult for blood to go through blood vessels.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how hyperplastic arteriolosclerosis (Protein in the arterial wall) makes it difficult for blood to go through blood vessels.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See how increasing resistance in the blood vessels can cause blood pressure to rise over time.   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how increasing resistance in the blood vessels can cause blood pressure to rise over time.   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See how muscle cells in the heart contract by allowing Calcium to flow inside and bringing along some positive charge with it! Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how muscle cells in the heart contract by allowing Calcium to flow inside and bringing along some positive charge with it! Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See how pressure, flow, and resistance relate to one another and how they each affect the human body.   Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See how pressure, flow, and resistance relate to one another and how they each affect the human body.   Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['See where the pacemaker cells start the electrical wave of depolarization, and how it gets all the way to the ventricles of the heart.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'See where the pacemaker cells start the electrical wave of depolarization, and how it gets all the way to the ventricles of the heart.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Seeing how reserve ratios limit how much lending I can do.'] = 'Seeing how reserve ratios limit how much lending I can do.';
catalog['Seeing how the long-short portfolio might do in different market conditions (assuming that the underlying thesis is right)'] = 'Seeing how the long-short portfolio might do in different market conditions (assuming that the underlying thesis is right)';
catalog['Seeing how we can scale and or reverse a Carnot Engine (to make a refrigerator)'] = 'Seeing how we can scale and or reverse a Carnot Engine (to make a refrigerator)';
catalog['Seeing light in a different way.  Ever wonder what happens to light when it gets in its own way? \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions'] = 'Seeing light in a different way.  Ever wonder what happens to light when it gets in its own way? \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions';
catalog['Seeing that Green\'s Theorem is just a special case of Stokes\' Theorem'] = 'Seeing that Green\'s Theorem is just a special case of Stokes\' Theorem';
catalog['Seeing that a while loop can do the same thing as a for loop'] = 'Eine While-Schleife kann dasselbe wie eine For-Schleife';
catalog['Seeing that orthonormal bases make for good coordinate systems'] = 'Seeing that orthonormal bases make for good coordinate systems';
catalog['Seeing that the centroid is 2/3 of the way along every median'] = 'Seeing that the centroid is 2/3 of the way along every median';
catalog['Seeing the "formula" in the last method'] = 'Die "Formel" in der letzten Methode sehen';
catalog['Seeing the reasoning behind some geometric relationships.'] = 'Seeing the reasoning behind some geometric relationships.';
catalog['Seeing what happens to quantity demanded when price changes'] = 'Seeing what happens to quantity demanded when price changes';
catalog['Seeking Signs of Habitability'] = 'Seeking Signs of Habitability';
catalog['Segment addition'] = 'Streckenaddition';
catalog['Seismic waves and how we know Earth\'s structure'] = 'Seismische Wellen und woher wir die Struktur der Erde kennen';
catalog['Seismic waves and how we know earth\'s structure'] = 'Seismische Wellen und woher wir die Struktur der Erde kennen';
catalog['Seismic waves'] = 'Seismic waves';
catalog['Select Action'] = 'Select Action';
catalog['Select Group to Display'] = 'Select Group to Display';
catalog['Select Network:'] = 'Select Network:';
catalog['Select Report'] = 'Select Report';
catalog['Select Student'] = 'Select Student';
catalog['Select Topic'] = 'Select Topic';
catalog['Select a function that indicates direct or inverse variation between two variables.'] = 'W\u00e4hle eine Funktion, die eine direkte oder indirekte Variation zwischen zwei Variablen angibt.';
catalog['Select facility'] = 'Einrichtung w\u00e4hlen';
catalog['Select file'] = 'Select file';
catalog['Select the correct answer to prove your understanding&nbsp;'] = 'Select the correct answer to prove your understanding&nbsp;';
catalog['Select the graph that represents a given slope.'] = 'W\u00e4hle das Diagramm, das eine bestimmte Steigung darstellt.';
catalog['Select user facility'] = 'Benutzer-Einrichtung w\u00e4hlen';
catalog['Select'] = 'Select';
catalog['Self concept, self identity, and social identity'] = 'Self concept, self identity, and social identity';
catalog['Self esteem, self efficacy, and locus of control'] = 'Self esteem, self efficacy, and locus of control';
catalog['Self-identity - Passage 1'] = 'Self-identity - Passage 1';
catalog['Self-identity - Passage 2'] = 'Self-identity - Passage 2';
catalog['Self-identity'] = 'Self-identity';
catalog['Semantic networks and spreading activation'] = 'Semantic networks and spreading activation';
catalog['Sensory adaptation and amplification are discussed in this video to differentiate the two.&nbsp; By Ronald Sahyouni.'] = 'Sensory adaptation and amplification are discussed in this video to differentiate the two.&nbsp; By Ronald Sahyouni.';
catalog['Sensory adaptation and amplification'] = 'Sensory adaptation and amplification';
catalog['Sensory adaptation'] = 'Sensory adaptation';
catalog['Sensory perception - Passage 1'] = 'Sensory perception - Passage 1';
catalog['Sensory perception - Passage 2'] = 'Sensory perception - Passage 2';
catalog['Sensory perception'] = 'Sensory perception';
catalog['Separable differential equations 2'] = 'Separable differential equations 2';
catalog['Separable differential equations'] = 'Trennbare Differenzialgleichungen';
catalog['Separable equations'] = 'Trennbare Gleichungen';
catalog['Separating the truthteller from the togglers!'] = 'Separating the truthteller from the togglers!';
catalog['Separations and purifications - Passage 1'] = 'Separations and purifications - Passage 1';
catalog['Separations and purifications - Passage 2'] = 'Separations and purifications - Passage 2';
catalog['Separations and purifications'] = 'Separations and purifications';
catalog['Sequel to Sal\'s TED talk (TED talk should be watched before this one)'] = 'Fortsetzung zu Sal\'s TED Talk (Sie sollten vorher "TED Talk" ansehen)';
catalog['Sequence convergence and divergence'] = 'Konvergenz und Divergenz von Folgen';
catalog['Sequence from the product of 2 arithmetic sequences'] = 'Folge aus dem Produkt von 2 arithmetischen Folgen';
catalog['Sequences and series helps us deal with lists of numbers. Speaking of lists, guess what?!  You\'ve finished this brush up!  Use your dashboard to help you build to mastery on areas you found challenging.'] = 'Folgen und Reihen helfen uns mit einer ganzen Liste von Zahlen umzugehen. Apropos Listen, wei\u00dft du was?! Du hast diese Auffrischung abgeschlossen! Benutze deine Lerntafel um Hilfe zu bekommen ein Meister in Gebieten zu werden, die du anspruchsvoll fandest.';
catalog['Sequences and series'] = 'Folgen und Reihen';
catalog['Sequences'] = 'Folgen';
catalog['Sequences, series and approximating functions.  Maclaurin and Taylor series.'] = 'Folgen, Reihen und N\u00e4herungsfunktionen. Die Maclaurin- und die Taylor-Reihe.';
catalog['Sequences, series and function approximation'] = 'Folgen, Reihen und N\u00e4herungsfunktionen';
catalog['Sequences, series and induction'] = 'Sequenzen, Serien und Induktion';
catalog['Serbian and Italian fronts in World War I'] = 'Serbische und italienische Fronten im 1. Weltkrieg';
catalog['Serbian and Macedonian fronts'] = 'Serbian and Macedonian fronts';
catalog['Serbian losses in World War I'] = 'Serbian losses in World War I';
catalog['Series A funding from a seed venture capitalist.'] = 'Series A funding from a seed venture capitalist.';
catalog['Series as sum of sequence'] = 'Reihen als Summe von Folgen';
catalog['Series load'] = 'Series load';
catalog['Series sum example'] = 'Summe von Reihen - Beispiel';
catalog['Series'] = 'Reihen';
catalog['Servers will be in roving vans, visiting a number of facilities.'] = 'Servers will be in roving vans, visiting a number of facilities.';
catalog['Set aside the everyday and enter the profound, even spiritual space of Barnett Newman\'s paintings. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.'] = 'Set aside the everyday and enter the profound, even spiritual space of Barnett Newman\'s paintings. To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.';
catalog['Set goals and create a plan'] = 'Set goals and create a plan';
catalog['Set goals and create a study plan'] = 'Set goals and create a study plan';
catalog['Set true if this question is only visible by authenticated users.'] = 'Set true if this question is only visible by authenticated users.';
catalog['Setting up a simple long-short hedge (assuming the companies have similar beta or correlation with market)'] = 'Setting up a simple long-short hedge (assuming the companies have similar beta or correlation with market)';
catalog['Setting up a trapdoor one-way function'] = 'Einrichten einer Einwegfunktion als Fallt\u00fcr';
catalog['Setting up proportions to solve a word problem'] = 'Verh\u00e4ltnisse zur L\u00f6sung einer Textaufgabe aufstellen';
catalog['Setting up the definite integral for the volume of a solid of revolution around a vertical line using the "washer" or "ring" method.'] = 'Setting up the definite integral for the volume of a solid of revolution around a vertical line using the "washer" or "ring" method.';
catalog['Setting up the proof for the divergence theorem'] = 'Den Beweis f\u00fcr den Divergenzsatz erbringen';
catalog['Seurat, A Sunday on La Grande Jatte'] = 'Seurat, A Sunday on La Grande Jatte';
catalog['Seurat, Bathers at Asni\u00e8res'] = 'Seurat, Bathers at Asni\u00e8res';
catalog['Seurat, Young Woman Powdering Herself'] = 'Seurat, Young Woman Powdering Herself';
catalog['Seven minutes of terror. EDL plans for Curiosity<br>'] = 'Seven minutes of terror. EDL plans for Curiosity<br>';
catalog['Severe contango generally bearish'] = 'Severe contango generally bearish';
catalog['Sex-linked traits'] = 'Geschlechtsgebundene Merkmale';
catalog['Shaded areas'] = 'Schraffierte Fl\u00e4chen';
catalog['Sharing Network Add / Edit'] = 'Sharing Network Add / Edit';
catalog['Sharing Network Management Console'] = 'Sharing Network Management Console';
catalog['Shell method around a non-axis line 2'] = 'Shell method around a non-axis line 2';
catalog['Shell method around a non-axis line'] = 'Shell method around a non-axis line';
catalog['Shell method for rotating around horizontal line'] = 'Shell method for rotating around horizontal line';
catalog['Shell method for rotating around vertical line'] = 'Shell method for rotating around vertical line';
catalog['Shell method to rotate around y-axis'] = 'Shell method to rotate around y-axis';
catalog['Shell method with two functions of x'] = 'Shell method with two functions of x';
catalog['Shell method with two functions of y'] = 'Shell method with two functions of y';
catalog['Shell method'] = 'Shell-Methode';
catalog['Sherman, Untitled Film Still #21'] = 'Sherman, Untitled Film Still #21';
catalog['Sherrie Levine, Untitled (After Edward Weston, ca. 1925)'] = 'Sherrie Levine, Untitled (After Edward Weston, ca. 1925)';
catalog['Sherrie Levine, Untitled (After Edward Weston, ca. 1925), Type C color print, 19.5 x 14.625 in. (49.2 x 36.89 cm), 1981 Speakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris'] = 'Sherrie Levine, Untitled (After Edward Weston, ca. 1925), Type C color print, 19.5 x 14.625 in. (49.2 x 36.89 cm), 1981 Speakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris';
catalog['Shifting and reflecting functions'] = 'Shifting and reflecting functions';
catalog['Shifting and scaling parabolas'] = 'Verschieben und Skalieren von Parabeln';
catalog['Shifting from Loyalty to Accountability'] = 'Shifting from Loyalty to Accountability';
catalog['Shifting functions'] = 'Verschieben von Funktionen';
catalog['Shifts in Equilibrium'] = 'Shifts in Equilibrium';
catalog['Shifts in aggregate demand'] = 'Shifts in aggregate demand';
catalog['Short run aggregate supply'] = 'Short run aggregate supply';
catalog['Short sale basics'] = 'Short sale basics';
catalog['Short-run oil prices'] = 'Short-run oil prices';
catalog['Shorting stock 2'] = 'Shorting stock 2';
catalog['Shorting stock'] = 'Aktien shorten';
catalog['Should you try to produce everything yourself or only what you are best at and trade for everything else?  What if you\'re better than your trading partners at everything?  \n\nThis tutorial focuses on comparative advantage, specialization and gains from trade with a microeconomic lens.'] = 'Should you try to produce everything yourself or only what you are best at and trade for everything else?  What if you\'re better than your trading partners at everything?  \n\nThis tutorial focuses on comparative advantage, specialization and gains from trade with a microeconomic lens.';
catalog['Show scratchpad'] = 'Schmierzettel anzeigen';
catalog['Showing a generalized way to find the sum of the interior angles of any polygon'] = 'Allgemeine Methode, die Summe der Innenwinkel eines Polygons zu finden';
catalog['Showing explicit and implicit differentiation give same result'] = 'Zeigen, dass explizite und implizite Ableitungen das gleiche Ergebnis liefern';
catalog['Showing how ANY linear transformation can be represented as a matrix vector product'] = 'Showing how ANY linear transformation can be represented as a matrix vector product';
catalog['Showing how a change in government spending can lead to a new equilibrium'] = 'Showing how a change in government spending can lead to a new equilibrium';
catalog['Showing how a merger arbitrage player might act if they were sure that a transaction would go through'] = 'Showing how a merger arbitrage player might act if they were sure that a transaction would go through';
catalog['Showing relation between basis cols and pivot cols'] = 'Showing relation between basis cols and pivot cols';
catalog['Showing relationship between cosine and sine of complements'] = 'Showing relationship between cosine and sine of complements';
catalog['Showing that (transpose of A)(A) is invertible if A has linearly independent columns'] = 'Showing that (transpose of A)(A) is invertible if A has linearly independent columns';
catalog['Showing that A-transpose x A is invertible'] = 'Showing that A-transpose x A is invertible';
catalog['Showing that N(t)=Ne^(-kt) describes the amount of a radioactive substance we have at time T.  For students with background in Calculus.  Not necessary for intro chemistry class.'] = 'Wir zeigen, dass N(t)=Ne^(-kt) die Menge eines radioaktiven Stoffes zum Zeitpunkt T beschreibt. F\u00fcr Sch\u00fcler mit Hintergrund in der Infinitesimalrechnung.  F\u00fcr Einf\u00fchrung in die Chemie nicht erforderlich.';
catalog['Showing that a  projection onto a subspace is a linear transformation'] = 'Showing that a  projection onto a subspace is a linear transformation';
catalog['Showing that a party benefits from trade as long as there is a comparative advantage (and not necessarily an absolute advantage)'] = 'Showing that a party benefits from trade as long as there is a comparative advantage (and not necessarily an absolute advantage)';
catalog['Showing that a transformation is invertible if and only if  rref(A) is equal to the identity matrix'] = 'Showing that a transformation is invertible if and only if  rref(A) is equal to the identity matrix';
catalog['Showing that a triangle with the same point as the orthocenter and centroid is equilateral'] = 'Showing that a triangle with the same point as the orthocenter and centroid is equilateral';
catalog['Showing that all of the angles of an equilateral triangle are 60 degrees'] = 'Showing that all of the angles of an equilateral triangle are 60 degrees';
catalog['Showing that an eigenbasis makes for good coordinate systems'] = 'Showing that an eigenbasis makes for good coordinate systems';
catalog['Showing that an inscribed angle is half of a central angle that subtends the same arc'] = 'Showing that an inscribed angle is half of a central angle that subtends the same arc';
catalog['Showing that any member of Rn can be represented as a unique sum of a vector in subspace V and a vector in the orthogonal complement of V.'] = 'Showing that any member of Rn can be represented as a unique sum of a vector in subspace V and a vector in the orthogonal complement of V.';
catalog['Showing that any triangle can be the medial triangle for some larger triangle.  Using this to show that the altitudes of a triangle are concurrent (at the orthocenter).'] = 'Showing that any triangle can be the medial triangle for some larger triangle.  Using this to show that the altitudes of a triangle are concurrent (at the orthocenter).';
catalog['Showing that area is equal to inradius times semiperimeter'] = 'Showing that area is equal to inradius times semiperimeter';
catalog['Showing that congruent legs imply equal base angles and vice versa'] = 'Showing that congruent legs imply equal base angles and vice versa';
catalog['Showing that if V is a subspace of Rn, then dim(V) + dim(V\'s orthogonal complement) = n'] = 'Showing that if V is a subspace of Rn, then dim(V) + dim(V\'s orthogonal complement) = n';
catalog['Showing that if a vector field is the gradient of a scalar field, then its line integral is path independent'] = 'Showing that if a vector field is the gradient of a scalar field, then its line integral is path independent';
catalog['Showing that inverse transformations are also linear'] = 'Showing that inverse transformations are also linear';
catalog['Showing that inverses are linear'] = 'Showing that inverses are linear';
catalog['Showing that just the columns of A associated with the pivot columns of rref(A) do indeed span C(A).'] = 'Showing that just the columns of A associated with the pivot columns of rref(A) do indeed span C(A).';
catalog['Showing that linear independence of pivot columns implies linear independence of the corresponding columns in the original equation'] = 'Showing that linear independence of pivot columns implies linear independence of the corresponding columns in the original equation';
catalog['Showing that matrix products are associative'] = 'Showing that matrix products are associative';
catalog['Showing that matrix products exhibit the distributive property'] = 'Showing that matrix products exhibit the distributive property';
catalog['Showing that opposite angles of a parallelogram are congruent'] = 'Showing that opposite angles of a parallelogram are congruent';
catalog['Showing that orthogonal matrices preserve angles and lengths'] = 'Showing that orthogonal matrices preserve angles and lengths';
catalog['Showing that segments have the same length'] = 'Showing that segments have the same length';
catalog['Showing that the Null Space of a Matrix is a valid Subspace'] = 'Showing that the Null Space of a Matrix is a valid Subspace';
catalog['Showing that the area of a parallelogram is base times height'] = 'Showing that the area of a parallelogram is base times height';
catalog['Showing that the candidate basis does span C(A)'] = 'Showing that the candidate basis does span C(A)';
catalog['Showing that the centroid divides each median into segments with a 2:1 ratio (or that the centroid is 2/3 along the median)'] = 'Showing that the centroid divides each median into segments with a 2:1 ratio (or that the centroid is 2/3 along the median)';
catalog['Showing that the centroid is 2/3 of the way along a median'] = 'Showing that the centroid is 2/3 of the way along a median';
catalog['Showing that the expression in part 1 is identical to Heron\'s Formula'] = 'Showing that the expression in part 1 is identical to Heron\'s Formula';
catalog['Showing that the image of a subspace under a transformation is also a subspace.  Definition of the image of a Transformation.'] = 'Showing that the image of a subspace under a transformation is also a subspace.  Definition of the image of a Transformation.';
catalog['Showing that the line integral along closed curves of conservative vector fields is zero'] = 'Showing that the line integral along closed curves of conservative vector fields is zero';
catalog['Showing that the line integral of a scalar field is independent of path direction'] = 'Showing that the line integral of a scalar field is independent of path direction';
catalog['Showing that the midpoint of the hypotenuse is the circumcenter'] = 'Zeigen, dass der Mittelpunkt der Hypotenuse der Umkreismittelpunkt ist';
catalog['Showing that the projection of x onto a subspace is the closest vector in the subspace to x'] = 'Showing that the projection of x onto a subspace is the closest vector in the subspace to x';
catalog['Showing that the rank of the of an mxn transformation matrix has to be an for the transformation to be one-to-one (injective)'] = 'Showing that the rank of the of an mxn transformation matrix has to be an for the transformation to be one-to-one (injective)';
catalog['Showing that the three medians of a triangle divide it into six smaller triangles of equal area.  Brief discussion of the centroid as well'] = 'Showing that the three medians of a triangle divide it into six smaller triangles of equal area.  Brief discussion of the centroid as well';
catalog['Showing that the transformation matrix with respect to basis B actually works.  Brief point on why someone would want to operate in a different basis to begin with.'] = 'Showing that the transformation matrix with respect to basis B actually works.  Brief point on why someone would want to operate in a different basis to begin with.';
catalog['Showing that we can find the area of a rhombus by taking half the product of the lengths of the diagonals'] = 'Showing that we can find the area of a rhombus by taking half the product of the lengths of the diagonals';
catalog['Showing that we didn\'t need to use Stokes\' Theorem to evaluate this line integral'] = 'Showing that we didn\'t need to use Stokes\' Theorem to evaluate this line integral';
catalog['Showing that what is optimal for the monopolist is not optimal for society'] = 'Showing that what is optimal for the monopolist is not optimal for society';
catalog['Showing that, for any b that is in the column space of A, there is a unique member of the row space that is the "smallest" solution to Ax=b'] = 'Showing that, for any b that is in the column space of A, there is a unique member of the row space that is the "smallest" solution to Ax=b';
catalog['Showing that, unlike line integrals of scalar fields, line integrals over vector fields are path direction dependent'] = 'Showing that, unlike line integrals of scalar fields, line integrals over vector fields are path direction dependent';
catalog['Showing the ratios of the sides of a 45-45-90 triangle are 1:1:sqrt(2)'] = 'Showing the ratios of the sides of a 45-45-90 triangle are 1:1:sqrt(2)';
catalog['Siena in the 1300s'] = 'Siena in the 1300s';
catalog['Siena'] = 'Siena';
catalog['Sieve of Eratosthenes allows us to generate a list of primes.'] = 'Das Sieb des Eratosthenes erlaubt uns, eine Liste von Primzahlen zu generieren.';
catalog['Sight (vision) - Passage 1'] = 'Sight (vision) - Passage 1';
catalog['Sight (vision) - Passage 2'] = 'Sight (vision) - Passage 2';
catalog['Sight (vision)'] = 'Sight (vision)';
catalog['Sigma notation for sums'] = 'Die Sigma-Schreibweise f\u00fcr Summen';
catalog['Sign Up'] = 'Registrieren';
catalog['Sign up for an account'] = 'Registrieren f\u00fcr ein Konto';
catalog['Sign up'] = 'Sign up';
catalog['Signal detection theory - part 1'] = 'Signal detection theory - part 1';
catalog['Signal detection theory - part 2'] = 'Signal detection theory - part 2';
catalog['Significant figures'] = 'Signifikante Stellen';
catalog['Silicon Schools Fund and Clayton Christensen Institute'] = 'Silicon Schools Fund and Clayton Christensen Institute';
catalog['Silicon Schools Fund and the Clayton Christensen Institute provide insight and guidance on delivering high-quality blended learning.  Learn more about how to personalize K-12 education for all students by combining the best of traditional schools with the transformative power of online learning.'] = 'Silicon Schools Fund and the Clayton Christensen Institute provide insight and guidance on delivering high-quality blended learning.  Learn more about how to personalize K-12 education for all students by combining the best of traditional schools with the transformative power of online learning.';
catalog['Similar triangle basics'] = 'Grundlagen gleichartiger Dreiecke';
catalog['Similar triangle example problems'] = '\u00c4hnliche Dreiecke Beispiele';
catalog['Similar triangles (part 2)'] = 'Similar triangles (part 2)';
catalog['Similar triangles 1'] = '\u00c4hnliche Dreiecke 1';
catalog['Similar triangles 2'] = '\u00c4hnliche Dreiecke 2';
catalog['Similar triangles to prove that the slope is constant for a line'] = '\u00c4hnliche Dreiecke, um zu beweisen, dass die Steigung einer Geraden konstant ist';
catalog['Similar triangles'] = '\u00c4hnliche Dreiecke';
catalog['Similarities in compensation structure for hedge funds, venture capital firms, and private equity investors'] = '\u00c4hnlichkeiten in der Verg\u00fctungsstruktur f\u00fcr Hedge-Fonds, Venture-Capital-Firmen und private-Equity-Investoren';
catalog['Similarity and transformations'] = '\u00c4hnlichkeit und Transformationen';
catalog['Similarity example problems'] = 'Similarity example problems';
catalog['Similarity example where same side plays different roles'] = 'Similarity example where same side plays different roles';
catalog['Similarity postulates'] = 'Similarity postulates';
catalog['Similarity to define sine, cosine, and tangent'] = '\u00c4hnlichkeit bei der Definition von Sinus, Kosinus und Tangens';
catalog['Similarity'] = '\u00c4hnlichkeit';
catalog['Simone Martini, Annunciation'] = 'Simone Martini, Annunciation';
catalog['Simone Martini, Annunciation, 1333, tempera on panel, 72 1/2 x 82 5/8" or 184 x 210 cm. (Uffizi, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Simone Martini, Annunciation, 1333, tempera on panel, 72 1/2 x 82 5/8" or 184 x 210 cm. (Uffizi, Florence)\n\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Simple Machines Explorations'] = 'Simple Machines Explorations';
catalog['Simple Quadratic Equation'] = 'Einfache quadratische Gleichung';
catalog['Simple Riemann approximation using rectangles'] = 'Einfaches Rieman\'sche N\u00e4herungsverfahren mittels Rechtecken';
catalog['Simple analysis of cost per job saved from stimulus'] = 'Simple analysis of cost per job saved from stimulus';
catalog['Simple and fractional distillations'] = 'Simple and fractional distillations';
catalog['Simple animals: Sponges, jellies, & octopuses'] = 'Einfache Tiere: Schw\u00e4mme, Gelees & Kraken';
catalog['Simple case of merger arbitrage when there is an all cash acquisition'] = 'Simple case of merger arbitrage when there is an all cash acquisition';
catalog['Simple device which we can use to measure our homemade batteries. You can test it with any household battery first. What does this deflection represent? What forces are involved?'] = 'Simple device which we can use to measure our homemade batteries. You can test it with any household battery first. What does this deflection represent? What forces are involved?';
catalog['Simple differential equation example'] = 'Einfache Differentialgleichung Beispiel';
catalog['Simple differential equations'] = 'Einfache Differenzialgleichungen';
catalog['Simple elimination practice'] = 'Einfache \u00dcbung zu Elimination';
catalog['Simple equations of the form ax = b'] = 'Einfache Gleichungen der Form ax = b';
catalog['Simple example of accrual accounting'] = 'Einfaches Beispiel f\u00fcr periodengerechte Abgrenzung';
catalog['Simple example of borrowing from equity to fuel consumption'] = 'Simple example of borrowing from equity to fuel consumption';
catalog['Simple example of calculating Real GDP from Nominal GDP'] = 'Simple example of calculating Real GDP from Nominal GDP';
catalog['Simple example of cash accounting'] = 'Einfaches Beispiel f\u00fcr Cash Accounting';
catalog['Simple example of solving for time given distance and rate'] = 'Simple example of solving for time given distance and rate';
catalog['Simple fractional reserve accounting (part 1)'] = 'Simple fractional reserve accounting (part 1)';
catalog['Simple fractional reserve accounting (part 2)'] = 'Simple fractional reserve accounting (part 2)';
catalog['Simple hypothesis testing'] = 'Simple hypothesis testing';
catalog['Simple idea that multiplying by a numbers multiplicative inverse gets you back to one'] = 'Einfache Idee, dass die Multiplikation einer Zahl mit ihrem Kehrwert 1 ergibt';
catalog['Simple machines explorations'] = 'Simple machines explorations';
catalog['Simple merger arbitrage with share acquisition'] = 'Simple merger arbitrage with share acquisition';
catalog['Simple proof using RSH postulate to show that a radius perpendicular to a chord bisects it'] = 'Simple proof using RSH postulate to show that a radius perpendicular to a chord bisects it';
catalog['Simpler 4x4 determinant'] = 'Simpler 4x4 determinant';
catalog['Simpler insertion sort function'] = 'Simpler insertion sort function';
catalog['Simplify a polynomial'] = 'Vereinfachung eines Polynoms';
catalog['Simplify expressions using Pythagorean trig identities'] = 'Vereinfache Ausdr\u00fccke mit der Hilfe von Identit\u00e4ten von Winkelfunktionen auf Grundlage des Satzes des Pythagoras';
catalog['Simplify the ratio of a polynomial and a binomial.'] = 'Vereinfache das Verh\u00e4ltnis eines Polynoms und eines Binoms.';
catalog['Simplify the ratio of two monomials.'] = 'Vereinfache das Verh\u00e4ltnis zweier Monome.';
catalog['Simplify the ratio of two polynomials.'] = 'Vereinfache das Verh\u00e4ltnis zweier Polynome.';
catalog['Simplifying Cube Roots'] = 'Kubikwurzeln vereinfachen';
catalog['Simplifying Expressions with Exponents 2'] = 'Ausdr\u00fccke mit Exponenten vereinfachen 2';
catalog['Simplifying Expressions with Exponents 3'] = 'Ausdr\u00fccke mit Exponenten vereinfachen 3';
catalog['Simplifying Expressions with Exponents'] = 'Terme mit Exponenten vereinfachen';
catalog['Simplifying First for Subtracting Rational Expressions'] = 'Vereinfachung vor dem Subtrahieren von Br\u00fcchen';
catalog['Simplifying Radical Expressions1'] = 'Vereinfachen von Wurzelausdr\u00fccken 1';
catalog['Simplifying Rates and Ratios'] = 'Raten und Verh\u00e4ltnisse k\u00fcrzen';
catalog['Simplifying Rational Expressions'] = 'Vereinfachung rationaler Ausdr\u00fccke';
catalog['Simplifying Square Roots'] = 'Quadratwurzeln vereinfachen';
catalog['Simplifying a complicated expression into scientific notation'] = 'Vereinfachung eines komplizierten Ausdrucks in wissenschaftlicher Schreibweise';
catalog['Simplifying a cube root'] = 'Vereinfachung einer Kubikwurzel';
catalog['Simplifying complicated equations'] = 'Vereinfachen komplizierte Gleichungen';
catalog['Simplifying conditions for invertibility'] = 'Simplifying conditions for invertibility';
catalog['Simplifying cube roots'] = 'Kubikwurzeln vereinfachen';
catalog['Simplifying expression with like terms'] = 'Ausdr\u00fccke mit gleichartigen Termen vereinfachen';
catalog['Simplifying expressions with exponents 2'] = 'Ausdr\u00fccke mit Exponenten vereinfachen 2';
catalog['Simplifying expressions with exponents 3'] = 'Ausdr\u00fccke mit Exponenten vereinfachen 3';
catalog['Simplifying expressions with exponents'] = 'Terme mit Exponenten vereinfachen';
catalog['Simplifying first for subtracting rational expressions'] = 'Vereinfachung vor dem Subtrahieren von Br\u00fcchen';
catalog['Simplifying fractions'] = 'Br\u00fcche vereinfachen';
catalog['Simplifying radical expressions'] = 'Vereinfachen von Wurzelgleichungen';
catalog['Simplifying radicals 2'] = 'Wurzeln vereinfachen 2';
catalog['Simplifying radicals'] = 'Wurzelausdr\u00fccke vereinfachen';
catalog['Simplifying rates and ratios'] = 'Vereinfachen von Raten und Anteilen';
catalog['Simplifying rational expressions 1'] = 'Vereinfachung rationaler Ausdr\u00fccke 1';
catalog['Simplifying rational expressions 2'] = 'Vereinfachung rationaler Ausdr\u00fccke 2';
catalog['Simplifying rational expressions 3'] = 'Vereinfachung rationaler Ausdr\u00fccke 3';
catalog['Simplifying rational expressions 4'] = 'Vereinfachen rationaler Terme 4';
catalog['Simplifying rational expressions example 2'] = 'Vereinfachung von rationalen Ausdr\u00fccken - Beispiel 2';
catalog['Simplifying rational expressions introduction'] = 'Einf\u00fchrung: Vereinfachung von rationalen Ausdr\u00fccken';
catalog['Simplifying rational expressions with exponent properties'] = 'Rationale Ausdr\u00fccke durch Eigenschaften von Exponenten vereinfachen';
catalog['Simplifying rational expressions'] = 'Vereinfachen von Wurzelgleichungen';
catalog['Simplifying square roots comment response'] = 'Vereinfachung Quadratwurzeln Kommentar Antwort';
catalog['Simplifying square roots'] = 'Quadratwurzeln vereinfachen';
catalog['Simplifying the while loop for the Insertion Sort function'] = 'Simplifying the while loop for the Insertion Sort function';
catalog['Simplifying with exponent properties'] = 'Vereinfachung mit Potenzrechenregeln';
catalog['Simulating Grass'] = 'Simulating Grass';
catalog['Simulating grass'] = 'Simulating grass';
catalog['Simulation by KA user tetef showing that dividing by (n-1) gives us an unbiased estimate of population variance.  Simulation at: http://www.khanacademy.org/cs/will-it-converge-towards-1/1167579097'] = 'Simulation von KA Benutzer Tetef die zeigt, dass die Division durch (n-1) uns eine korrigierte, unverzerrte Sch\u00e4tzung der Varianz gibt.  Simulation unter: http://www.khanacademy.org/cs/will-it-converge-towards-1/1167579097';
catalog['Simulation by Peter Collingridge giving us a better understanding of why we divide by (n-1) when calculating the unbiased sample variance.  Simulation available at: http://www.khanacademy.org/cs/challenge-unbiased-estimate-of-population-variance/1169428428'] = 'Die Simulation von Peter Collingridge hilft uns besser zu verstehen, warum wir durch (n-1) teilen, wenn wir die korrigierte Stichprobenvarianz berechnen.  Simulation verf\u00fcgbar unter: http://www.khanacademy.org/cs/challenge-unbiased-estimate-of-population-variance/1169428428';
catalog['Simulation providing evidence that (n-1) gives us unbiased estimate'] = 'Simulation, die best\u00e4tigt, dass (n-1) uns eine korrigierte, unverzerrte Sch\u00e4tzung liefert';
catalog['Simulation showing bias in sample variance'] = 'Simulation, die die Verzerrung in einer Stichprobenvarianz zeigt';
catalog['Sinai, Palestine and Mesopotamia campaigns'] = 'Sinai, Palestine and Mesopotamia campaigns';
catalog['Since antiquity, gemstones have been engraved using the same methods. Watch the process from start to finish as a gem carver recreates an ancient image. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br><span>Love art? Follow us on Google+ to stay in touch:</span><a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">http://bit.ly/gettygoogleplus</a>'] = 'Since antiquity, gemstones have been engraved using the same methods. Watch the process from start to finish as a gem carver recreates an ancient image. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br><span>Love art? Follow us on Google+ to stay in touch:</span><a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">http://bit.ly/gettygoogleplus</a>';
catalog['Since it\'s shaped like a hexagon and flex rhymes with hex, hexaflexagon it is!'] = 'Da es ist geformt wie ein Hexagon (Sechseck), und flex  sich auf Hex reimt, nennen wir es Hexaflexagon!';
catalog['Sine Taylor Series at 0 (Maclaurin)'] = 'Sinus-Taylor-Reihe bei 0 (Maclaurin)';
catalog['Sine Taylor series at 0 (Maclaurin)'] = 'Sinus-Taylor-Reihe bei 0 (Maclaurin)';
catalog['Sine and cosine of complements example'] = 'Sine and cosine of complements example';
catalog['Sine of non special angle'] = 'Sine of non special angle';
catalog['Sine, cosine and tangent trigonometric functions'] = 'Die trigonometrischen Funktionen Sinus, Kosinus und Tangens';
catalog['Singing (and noises)'] = 'Singen (und Ger\u00e4usche)';
catalog['Singular matrices'] = 'Singul\u00e4re Matrizen';
catalog['Sir Edward Coley Burne-Jones, Hope, 1896, 179 x 63.5 cm, oil on canvas (Museum of Fine Arts, Boston)'] = 'Sir Edward Coley Burne-Jones, Hope, 1896, 179 x 63.5 cm, oil on canvas (Museum of Fine Arts, Boston)';
catalog['Sir Edward Coley Burne-Jones, The Golden Stairs, 1880, oil on canvas\n2692 x 1168 mm (Tate Britain, London)'] = 'Sir Edward Coley Burne-Jones, The Golden Stairs, 1880, oil on canvas\n2692 x 1168 mm (Tate Britain, London)';
catalog['Sir Frederic Leighton, An Athlete Wrestling with a Python, 1877, bronze, 1746 x 984 x 1099 mm (Tate Britain, London)'] = 'Sir Frederic Leighton, An Athlete Wrestling with a Python, 1877, bronze, 1746 x 984 x 1099 mm (Tate Britain, London)';
catalog['Sir John Everett Millais, Christ in the House of His Parents'] = 'Sir John Everett Millais, Christ in the House of His Parents';
catalog['Sir John Everett Millais, Christ in the House of His Parents, 1849-50, oil on canvas, 864 x 1397 mm (Tate Britain, London)'] = 'Sir John Everett Millais, Christ in the House of His Parents, 1849-50, oil on canvas, 864 x 1397 mm (Tate Britain, London)';
catalog['Sir John Everett Millais, Mariana 1851, oil on wood, 597 x 495 mm (Tate Britain)'] = 'Sir John Everett Millais, Mariana 1851, oil on wood, 597 x 495 mm (Tate Britain)';
catalog['Sir John Everett Millais, Ophelia'] = 'Sir John Everett Millais, Ophelia';
catalog['Sir John Everett Millais, Ophelia, 1851-52, oil on canvas, 762 x 1118 mm (Tate Britain, London)'] = 'Sir John Everett Millais, Ophelia, 1851-52, oil on canvas, 762 x 1118 mm (Tate Britain, London)';
catalog['Sir John Everett Millais, The Vale of Rest: where the weary find repose, 1858 (partially repainted 1862), oil on canvas, 40 1/2 x 68 inches (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Sir John Everett Millais, The Vale of Rest: where the weary find repose, 1858 (partially repainted 1862), oil on canvas, 40 1/2 x 68 inches (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Sir Joshua Reynolds, Lady Cockburn and Her Three Eldest Sons, 1773, oil on canvas, 55-3/4 x 44-1/2 inches (141.5 x 113 cm) (National Gallery, London) \n\nSpeakers: Pippa Couch and Rachel Ropeik'] = 'Sir Joshua Reynolds, Lady Cockburn und ihre drei \u00e4ltesten S\u00f6hne, 1773, \u00d6l auf Leinwand, 141,5 x 113 cm (National Gallery (London) \n\nDialog: Pippa Couch und Rachel Ropeik';
catalog['Sir Lawrence Alma-Tadema, A Reading from Homer, 1885, oil on canvas,\n36-1/8 x 72-1/4 inches / 91.8 x 183.5 cm (Philadelphia Museum of Art)'] = 'Sir Lawrence Alma-Tadema, A Reading from Homer, 1885, oil on canvas,\n36-1/8 x 72-1/4 inches / 91.8 x 183.5 cm (Philadelphia Museum of Art)';
catalog['Sir Peter Paul Rubens, The Rape of the Daughters of Leucippus, 1617-18, oil on canvas, 224 x 210.5 cm, Alte Pinakothek, Munich\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Sir Peter Paul Rubens, Raub der T\u00f6chter des Leukippos, 1617\u201318, \u00d6l auf Leinwand, 224 x 210,5 cm, Alte Pinakothek, M\u00fcnchen\n\nDialog: Dr. Beth Harris und Dr. Steven Zucker';
catalog['Situational approach'] = 'Situational approach';
catalog['Six types of enzymes'] = 'Six types of enzymes';
catalog['Skip-counting by 100s'] = 'In 100-er Schritten z\u00e4hlen';
catalog['Skip-counting by 10s'] = 'In 10-er Schritten z\u00e4hlen';
catalog['Skip-counting by 5s'] = 'In 5-er Schritten z\u00e4hlen';
catalog['Skip-counting'] = 'Schrittweises Z\u00e4hlen';
catalog['Slaves rebel in Saint-Domingue (Haiti).  Rise of Toussaint L\'Ouverture.'] = 'Slaves rebel in Saint-Domingue (Haiti).  Rise of Toussaint L\'Ouverture.';
catalog['Sleep and consciousness - Passage 1'] = 'Sleep and consciousness - Passage 1';
catalog['Sleep and consciousness - Passage 2'] = 'Sleep and consciousness - Passage 2';
catalog['Sleep and consciousness'] = 'Sleep and consciousness';
catalog['Sleep disorders'] = 'Sleep disorders';
catalog['Sleep stages and circadian rhythms'] = 'Sleep stages and circadian rhythms';
catalog['Slicing 3D figures'] = '3-dimensionale K\u00f6rper zerschneiden';
catalog['Slightly harder percent problems'] = 'Etwas schwerere Prozentaufgabe';
catalog['Slightly harder rational inequality problem'] = 'Etwas schwerere Aufgabe mit rationaler Ungleichheit';
catalog['Slope Example'] = 'Beispiel Steigung';
catalog['Slope and rate of change'] = 'Steigung und \u00c4nderungsrate';
catalog['Slope and triangle similarity 1'] = 'Steigung und \u00e4hnliche Dreiecke 1';
catalog['Slope and triangle similarity 2'] = 'Steigung und \u00e4hnliche Dreiecke 2';
catalog['Slope and triangle similarity 3'] = 'Steigung und \u00e4hnliche Dreiecke 3';
catalog['Slope and triangle similarity 4'] = 'Steigung und \u00e4hnliche Dreiecke 4';
catalog['Slope and triangle similarity'] = 'Steigung und \u00e4hnliche Dreiecke';
catalog['Slope and y-intercept intuition'] = 'Steigung und y-Achsenabschnitt Intuition';
catalog['Slope example'] = 'Beispiel Steigung';
catalog['Slope intercept form from table'] = 'Steigung-Achsenabschnittsform aus einer Tabelle';
catalog['Slope intercept form'] = 'Hauptform einer Geraden';
catalog['Slope of a Line 2'] = 'Steigung einer Geraden 2';
catalog['Slope of a Line 3'] = 'Steigung einer Gerade 3';
catalog['Slope of a line 2'] = 'Steigung einer Geraden 2';
catalog['Slope of a line 3'] = 'Steigung einer Gerade 3';
catalog['Slope of a line secant to a curve'] = 'Steigung einer Kurvensekante';
catalog['Slope of a line'] = 'Die Steigung einer Geraden';
catalog['Slope of a secant line example 1'] = 'Steigung einer Sekante - Beispiel 1';
catalog['Slope of a secant line example 2'] = 'Steigung einer Sekante - Beispiel 2';
catalog['Slope of a secant line example 3'] = 'Steigung einer Sekante - Beispiel 3';
catalog['Slope of secant lines'] = 'Steigung der Secant-Linien';
catalog['Slope'] = 'Anstieg';
catalog['Slow sock on Lubricon VI'] = 'Slow sock on Lubricon VI';
catalog['Sluter, Well of Moses'] = 'Sluter, Well of Moses';
catalog['Small Sample Hypothesis Test'] = 'Hypothesen Test mit kleiner Stichprobe';
catalog['Small sample hypothesis test'] = 'Hypothesen Test mit kleiner Stichprobe';
catalog['Small sample size confidence intervals'] = 'Kleine Stichprobengr\u00f6\u00dfe Konfidenzintervall';
catalog['Smith, Marx, and Keynes \u2013 acceleration gave rise to three dynamic thinkers who had great influence on the ideas of commerce, labor, and the global economy.'] = 'Smith, Marx, and Keynes \u2013 acceleration gave rise to three dynamic thinkers who had great influence on the ideas of commerce, labor, and the global economy.';
catalog['Smithson, Spiral Jetty'] = 'Smithson, Spiral Jetty';
catalog['Smoking in 1945'] = 'Rauchen im Jahr 1945';
catalog['Sn1 Sn2 E1 E2 reactions: Primary and tertiary alkyl halides'] = 'Sn1 Sn2 E1 E2 reactions: Primary and tertiary alkyl halides';
catalog['Sn1 Sn2 E1 E2 reactions: Secondary alkyl halides'] = 'Sn1 Sn2 E1 E2 reactions: Secondary alkyl halides';
catalog['Sn1 and Sn2 solvents effects'] = 'Sn1 and Sn2 solvents effects';
catalog['Sn1 and Sn2'] = 'Sn1 and Sn2';
catalog['Sn1 reaction: Mechanism'] = 'Sn1 reaction: Mechanism';
catalog['Sn1 reaction: Stereochemistry'] = 'Sn1 reaction: Stereochemistry';
catalog['Sn1 reactions'] = 'Sn1 reactions';
catalog['Sn1 vs Sn2'] = 'Sn1 vs Sn2';
catalog['Sn1 vs Sn2: Solvent effects'] = 'Sn1 vs Sn2: Solvent effects';
catalog['Sn1 vs Sn2: Summary'] = 'Sn1 vs Sn2: Summary';
catalog['Sn1/Sn2/E1/E2'] = 'Sn1/Sn2/E1/E2';
catalog['Sn2 Reactions'] = 'Sn2-Reaktionen';
catalog['Sn2 Stereochemistry'] = 'Sn2-Stereochemie';
catalog['Sn2 mechanism and stereochemistry'] = 'Sn2 mechanism and stereochemistry';
catalog['Sn2 reactions'] = 'Sn2-Reaktionen';
catalog['Sn2 stereochemistry'] = 'Sn2 stereochemistry';
catalog['Snake-haired monster'] = 'Snake-haired monster';
catalog['Snakes!\n\nSnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakes.\n\nme: vihart.com\n\nYou can get a box here:\nhttp://www.amazon.com/dp/B003I6USDW?tag=vihartcom-20'] = 'Snakes!\n\nSnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakes.\n\nme: vihart.com\n\nYou can get a box here:\nhttp://www.amazon.com/dp/B003I6USDW?tag=vihartcom-20';
catalog['Sneeze, cough, and hiccup'] = 'Sneeze, cough, and hiccup';
catalog['Snell\'s Law Example 1'] = 'Snell\'s Law Example 1';
catalog['Snell\'s Law Example 2'] = 'Snell\'s Law Example 2';
catalog['Snell\'s law example 1'] = 'Snell\'s law example 1';
catalog['Snell\'s law example 2'] = 'Snell\'s law example 2';
catalog['Snippet from Khan Academy\'s appearance on 20/20 story about YouTube'] = 'Ausschnitt aus den Bericht \u00fcber die Khan Academy bei "20/20 story" auf YouTube';
catalog['Snowflakes, starflakes, and swirlflakes'] = 'Snowflakes, starflakes, and swirlflakes';
catalog['So now you know how to light a red LED. What about a blue one? Hint: a blue LED requires more power.'] = 'So now you know how to light a red LED. What about a blue one? Hint: a blue LED requires more power.';
catalog['So that\u2019s where that comes from!'] = 'Also da kommt das her!';
catalog['Social constructionism observes how the interactions of individuals with their society and the world around them gives meaning to otherwise worthless things and creates the reality of the society.&nbsp; By Sydney Brown.'] = 'Social constructionism observes how the interactions of individuals with their society and the world around them gives meaning to otherwise worthless things and creates the reality of the society.&nbsp; By Sydney Brown.';
catalog['Social constructionism'] = 'Social constructionism';
catalog['Social facilitation and social loafing'] = 'Social facilitation and social loafing';
catalog['Social influences'] = 'Social influences';
catalog['Social psychology - Passage 1'] = 'Social psychology - Passage 1';
catalog['Social psychology - Passage 2'] = 'Social psychology - Passage 2';
catalog['Social psychology'] = 'Social psychology';
catalog['Social security intro'] = 'Social security intro';
catalog['Social structures - Passage 1'] = 'Social structures - Passage 1';
catalog['Social structures - Passage 2'] = 'Social structures - Passage 2';
catalog['Social structures'] = 'Social structures';
catalog['Social theories overview'] = 'Social theories overview';
catalog['Society and culture'] = 'Society and culture';
catalog['Sodium potassium pump'] = 'Die Natrium-Kalium-Pumpe';
catalog['Soldering Saftey'] = 'Soldering Saftey';
catalog['Solderless Spout Bot'] = 'Solderless Spout Bot';
catalog['Solid geometry volume'] = 'Volumen fester K\u00f6rper';
catalog['Solid geometry'] = 'Elementargeometrie';
catalog['Solid of revolution constructing by rotating around line that is not an axis'] = 'Solid of revolution constructing by rotating around line that is not an axis';
catalog['Solid of revolution volume'] = 'Solid of revolution volume';
catalog['Solid of revolution'] = 'Rotationssymmetrische K\u00f6rper';
catalog['Solids of revolution'] = 'Solids of revolution';
catalog['Solubility of salt and gas solutes in liquid solvent.'] = 'L\u00f6slichkeit von Salz und Gasl\u00f6sungen in fl\u00fcssigen L\u00f6sungsmitteln.';
catalog['Solubility'] = 'L\u00f6slichkeit';
catalog['Solution set to sin equation'] = 'Solution set to sin equation';
catalog['Solutions to linear equations'] = 'L\u00f6sungen f\u00fcr lineare Gleichungen';
catalog['Solutions to quadratic equations'] = 'L\u00f6sungen f\u00fcr quadratische Gleichungen';
catalog['Solutions to systems of equations'] = 'Gleichungssysteme l\u00f6sen';
catalog['Solutions to three variable system 2'] = 'L\u00f6sungen f\u00fcr Gleichungssysteme mit 3 Variablen';
catalog['Solutions to three variable system'] = 'L\u00f6sungen f\u00fcr ein Gleichungssystem mit 3 Variablen';
catalog['Solve a rational equation and ignore any extraneous solutions.'] = 'Solve a rational equation and ignore any extraneous solutions.';
catalog['Solve absolute value equations. Some have no solution.'] = 'L\u00f6se Gleichungen mit absoluten Betr\u00e4gen. Manche haben keine L\u00f6sung.';
catalog['Solve age word problems with a system of equations.'] = 'L\u00f6se Textaufgaben zum Alter mit einem Gleichungssystem.';
catalog['Solve an equation in terms of a variable.'] = 'L\u00f6sen Sie eine Gleichung nach einer Variablen auf.';
catalog['Solve compound inequalities.'] = 'L\u00f6se zusammengesetzte Ungleichungen.';
catalog['Solve equations containing square roots of variables.'] = 'L\u00f6se Gleichungen, die Quadratwurzeln von Variablen enthalten.';
catalog['Solve equations in one step.'] = 'L\u00f6se Gleichungen in einem Schritt.';
catalog['Solve equations in two steps.'] = 'Gleichungen in zwei Schritten l\u00f6sen.';
catalog['Solve equations with a variable on both sides.'] = 'L\u00f6sen von Gleichungen mit einer Variablen auf beiden Seiten.';
catalog['Solve equations with variables in numerator and denominator. Solutions can be fractions.'] = 'L\u00f6se Gleichungen mit Variablen in Z\u00e4hler und Nenner. Die L\u00f6sungen k\u00f6nnen Br\u00fcche sein.';
catalog['Solve exponent problems by adding, subtracting, or multiplying exponents.'] = 'L\u00f6se Exponentenprobleme durch addieren, subtrahieren oder multiplizieren von Exponenten.';
catalog['Solve inequalities in one step.'] = 'L\u00f6se Ungleichungen in einem Schritt.';
catalog['Solve linear equations for the x-intercept'] = 'L\u00f6se lineare Gleichungen nach dem Schnittpunkt mit der x-Achse';
catalog['Solve linear equations for the y-intercept.'] = 'L\u00f6se die lineare Gleichung f\u00fcr den y Schnittpunkt.';
catalog['Solve linear equations like -(5x+1)=9x-5'] = 'L\u00f6se lineare Gleichungen wie zum Beispiel -(5x+1)=9x-5';
catalog['Solve linear inequalities in multiple steps.'] = 'L\u00f6sen Sie lineare Ungleichungen in mehreren Schritten.';
catalog['Solve missing triangle measures using the law of cosines'] = 'Berechne mit Hilfe des Kosinussatzes die fehlenden Ma\u00dfe des Dreiecks';
catalog['Solve problems using Mathematics, Computer Science and more!'] = 'Probleme l\u00f6sen mit Mathematik, Informatik und mehr!';
catalog['Solve problems with base i (square root of -1) raised to a positive exponent'] = 'Solve problems with base i (square root of -1) raised to a positive exponent';
catalog['Solve quadratics by factoring, where A is not 1'] = 'L\u00f6se quadratische Terme durch faktorisieren, wobei A nicht 1 ist.';
catalog['Solve quadratics by taking the square root.'] = 'Quadratische Terme l\u00f6sen, indem man die Quadratwurzel zieht.';
catalog['Solve systems of equation with one-step elimination (e.g., x-values or y-values cancel each other out).'] = 'L\u00f6se Gleichungssysteme durch Eliminieren in einem Schritt (z. B. x-Werte oder y-Werte k\u00fcrzen sich raus).\n.';
catalog['Solve systems of equations using substitution'] = 'L\u00f6se Gleichungssystem durch Ersetzen von Variablen';
catalog['Solve systems of equations with substitution and elimination.'] = 'L\u00f6se Gleichungssysteme durch Substitution und Eliminierung.';
catalog['Solving Equations 1'] = 'L\u00f6sen von Gleichungen 1';
catalog['Solving Equations 2'] = 'L\u00f6sen von Gleichungen 2';
catalog['Solving Equations with the Distributive Property'] = 'L\u00f6sen von Gleichungen mit dem Distributivgesetz';
catalog['Solving Inequalities'] = 'Ungleichungen l\u00f6sen';
catalog['Solving Linear Systems by Graphing'] = 'L\u00f6sen linearer Gleichungen durch graphische Darstellung';
catalog['Solving Linear Systems by Substitution'] = 'L\u00f6sen linearer Gleichungssysteme durch Substitution';
catalog['Solving Logarithmic Equations'] = 'L\u00f6sung logarithmischer Gleichungen';
catalog['Solving One-Step Equations 2'] = 'Einstufige Gleichungen l\u00f6sen 2';
catalog['Solving One-Step Equations'] = 'Einstufige Gleichungen l\u00f6sen';
catalog['Solving Percent Problems 2'] = 'Prozentprobleme l\u00f6sen 2';
catalog['Solving Percent Problems 3'] = 'Prozentprobleme l\u00f6sen 3';
catalog['Solving Quadratic Equations by Completing the Square'] = 'Quadratische Gleichungen l\u00f6sen durch Vervollst\u00e4ndigen des Quadrats';
catalog['Solving Quadratic Equations by Square Roots'] = 'L\u00f6sen von Quadratischen Gleichungen durch Quadratwurzeln';
catalog['Solving Radical Equations 1'] = 'Gleichungen mit Wurzeln l\u00f6sen 1';
catalog['Solving Radical Equations 2'] = 'Gleichungen mit Wurzeln l\u00f6sen 2';
catalog['Solving Radical Equations 3'] = 'Gleichungen mit Wurzeln l\u00f6sen 3';
catalog['Solving Radical Equations'] = 'Gleichungen mit Wurzeln l\u00f6sen';
catalog['Solving Rational Equations 1'] = 'Rationale Gleichungen l\u00f6sen 1';
catalog['Solving Rational Equations 2'] = 'Rationale Gleichungen l\u00f6sen 2';
catalog['Solving Rational Equations 3'] = 'Rationale Gleichungen l\u00f6sen 3';
catalog['Solving Systems of Equations by Elimination'] = 'Gleichungssysteme mit dem Eliminationsverfahren l\u00f6sen';
catalog['Solving Systems of Equations by Multiplication'] = 'L\u00f6sung von Gleichungssystemen durch Multiplikation';
catalog['Solving a definite integral with substitution (or the reverse chain rule)'] = 'L\u00f6sen eines bestimmten Integrale mit Substitution (oder die umgekehrte Kettenregel)';
catalog['Solving a differential equation using separation of variables'] = 'Solving a differential equation using separation of variables';
catalog['Solving a non-homogeneous differential equation using the Laplace Transform'] = 'L\u00f6sen einer inhomogenen Differentialgleichung mit der Laplace-Transformation';
catalog['Solving a quadratic by factoring'] = 'Quadrate l\u00f6sen durch Faktorisieren';
catalog['Solving a quadratic equation by factoring'] = 'L\u00f6sen einer quadratischen Gleichung durch Zerlegung';
catalog['Solving a system of equations or inequalities in two variables by elimination, substitution, and graphing. These are powerful ways to help you solve all kinds of real world problems.'] = 'Ein System von Gleichungen oder Ungleichungen in zwei Variablen mit Elimination, Substitution und Skizzieren l\u00f6sen. Das sind m\u00e4chtige Werkzeuge, die dir helfen alle m\u00f6glichen Probleme des echten Lebens zu l\u00f6sen.';
catalog['Solving a system of equations or inequalities in two variables by elimination, substitution, and graphing.'] = 'L\u00f6sen eines Systems von Gleichungen oder Ungleichungen mit zwei Variablen durch Elimination, Einsetzung und grafische Darstellung.';
catalog['Solving a system of linear equations by putting an augmented matrix into reduced row echelon form'] = 'Solving a system of linear equations by putting an augmented matrix into reduced row echelon form';
catalog['Solving and graphing linear inequalities in two variables 1'] = 'L\u00f6sen und grafische Darstellung von linearen Ungleichungen in zwei Variablen 1';
catalog['Solving and graphing linear inequalities in two variables'] = 'L\u00f6sen und grafische Darstellung von linearen Ungleichungen in zwei Variablen';
catalog['Solving and graphing quadratics'] = 'L\u00f6sen und Zeichnen quadratischer Gleichungen';
catalog['Solving application problems involving units of volume'] = 'Anwendungsprobleme mit Volumeneinheiten l\u00f6sen';
catalog['Solving ax + b = c'] = 'L\u00f6sen von ax + b = c';
catalog['Solving basic multiplication and division equations'] = 'L\u00f6sen von Gleichungen mit einfacher Multiplikation und Division';
catalog['Solving equation involving function and inverse'] = 'Eine Gleichung l\u00f6sen durch Funktion und Umkehrfunktion';
catalog['Solving equations and inequalities through substitution example 1'] = 'L\u00f6sen von Gleichungen und Ungleichungen durch Substitution - Beispiel 1';
catalog['Solving equations and inequalities through substitution example 2'] = 'L\u00f6sen von Gleichungen und Ungleichungen durch Substitution - Beispiel 2';
catalog['Solving equations and inequalities through substitution example 3'] = 'L\u00f6sen von Gleichungen und Ungleichungen durch Substitution - Beispiel 3';
catalog['Solving equations and inequalities through substitution example 4'] = 'L\u00f6sen von Gleichungen und Ungleichungen durch Substitution - Beispiel 4';
catalog['Solving equations and inequalities through substitution'] = 'L\u00f6sen von Gleichungen und Ungleichungen durch Substitution';
catalog['Solving equations and inequalities with substitution'] = 'L\u00f6sen von Gleichungen und Ungleichungen mit Substitution';
catalog['Solving equations and inequalities'] = 'L\u00f6sen von Gleichungen und Ungleichungen';
catalog['Solving equations examples and practice'] = 'Beispiele und \u00dcbungen zur L\u00f6sung von Gleichungen';
catalog['Solving equations in terms of a variable'] = 'Aufl\u00f6sen von Gleichungen nach einer Variablen';
catalog['Solving equations with distribution'] = 'L\u00f6sen von Gleichungen mit Verteilung';
catalog['Solving equations with the distributive property 2'] = 'L\u00f6sung von Gleichungen mit dem Distributivgesetz 2';
catalog['Solving equations with the distributive property'] = 'L\u00f6sen von Gleichungen mit dem Distributivgesetz';
catalog['Solving equations'] = 'Gleichungen l\u00f6sen';
catalog['Solving exponential and radical expressions and equations. Using scientific notation and significant figures.'] = 'Exponential- und Wurzelausdr\u00fccke und -gleichungen l\u00f6sen. Verwenden der wissenschaftlichen Schreibweise und von signifikanten Stelllen.';
catalog['Solving exponential equation with logarithm'] = 'Eine exponentielle Gleichung mit Logarithmus l\u00f6sen';
catalog['Solving exponential equation'] = 'Solving exponential equation';
catalog['Solving for a Variable 2'] = 'Aufl\u00f6sen nach einer Variable 2';
catalog['Solving for a Variable'] = 'L\u00f6sung f\u00fcr eine Variable';
catalog['Solving for a fractional exponent'] = 'Aufl\u00f6sen nach einem gebrochenen Exponenten';
catalog['Solving for a variable 2'] = 'Aufl\u00f6sen nach einer Variable 2';
catalog['Solving for a variable'] = 'Nach einer Variable aufl\u00f6sen';
catalog['Solving for angles'] = 'L\u00f6sen f\u00fcr Winkel';
catalog['Solving for the x-intercept'] = 'L\u00f6sung nach dem x-Achsenabschnitt';
catalog['Solving for the y-intercept'] = 'L\u00f6sung f\u00fcr den y-Achsenabschnitt';
catalog['Solving for time when you are given the change in distance, acceleration, and initial velocity'] = 'Solving for time when you are given the change in distance, acceleration, and initial velocity';
catalog['Solving for time'] = 'Solving for time';
catalog['Solving for unknown angles'] = 'Unbekannte Winkel finden';
catalog['Solving linear equations with variable expressions in the denominators of fractions'] = 'L\u00f6sen von linearen Gleichungen mit Variablen im Bruchnenner';
catalog['Solving linear systems by graphing'] = 'L\u00f6sen linearer Gleichungen durch Zeichnen';
catalog['Solving linear systems by substitution'] = 'Lineare Gleichungssysteme mit dem Einsatzverfahren l\u00f6sen';
catalog['Solving linear systems graphically'] = 'Lineare Systeme grafisch l\u00f6sen';
catalog['Solving logarithmic equations'] = 'L\u00f6sung logarithmischer Gleichungen';
catalog['Solving matrix equations'] = 'Solving matrix equations';
catalog['Solving one-step equations to see how many sessions can be attended'] = 'L\u00f6sen von einstufigen Gleichungen um zu sehen, wie viele Sitzungen besucht werden k\u00f6nnen';
catalog['Solving percent problems 2'] = 'Prozentprobleme l\u00f6sen 2';
catalog['Solving percent problems 3'] = 'Prozentprobleme l\u00f6sen 3';
catalog['Solving percent problems'] = 'Prozentprobleme l\u00f6sen';
catalog['Solving problems with bar graphs 1'] = 'L\u00f6sen von Problemen mit Balkendiagrammen 1';
catalog['Solving problems with bar graphs 2'] = 'L\u00f6sen von Problemen mit Balkendiagrammen 2';
catalog['Solving problems with bar graphs 3'] = 'L\u00f6sen von Problemen mit Balkendiagrammen 3';
catalog['Solving problems with line plots 1'] = 'L\u00f6sen von Problemen mit Liniendiagrammen 1';
catalog['Solving problems with picture graphs 1'] = 'L\u00f6sen von Problemen mit Schaubildern 1';
catalog['Solving problems with picture graphs 2'] = 'L\u00f6sen von Problemen mit Schaubildern 2';
catalog['Solving problems with similar and congruent triangles'] = 'Beheben von Problemen mit \u00e4hnlichen und kongruenten Dreiecken';
catalog['Solving quadratic equations by completing the square'] = 'Quadratische Gleichungen l\u00f6sen durch Vervollst\u00e4ndigen des Quadrats';
catalog['Solving quadratic equations by square roots'] = 'L\u00f6sen von Quadratischen Gleichungen durch Quadratwurzeln';
catalog['Solving quadratic inequalities using factoring'] = 'Solving quadratic inequalities using factoring';
catalog['Solving quadratics by completing the square 1'] = 'L\u00f6sung quadratischer Gleichungen durch quadratisches Erg\u00e4nzen 1';
catalog['Solving quadratics by completing the square 2'] = 'L\u00f6sung quadratischer Gleichungen durch quadratisches Erg\u00e4nzen 2';
catalog['Solving quadratics by factoring 2'] = 'Quadratische Gleichungen durch faktorisieren l\u00f6sen 2';
catalog['Solving quadratics by factoring'] = 'Quadratische Terme durch Faktorisieren l\u00f6sen';
catalog['Solving quadratics by taking square root'] = 'Quadrataufgaben l\u00f6sen, indem man die Quadratwurzel zieht';
catalog['Solving quadratics by taking the square root'] = 'Quadratische Terme l\u00f6sen, indem man die Quadratwurzel zieht';
catalog['Solving radical equations 1'] = 'Gleichungen mit Wurzeln l\u00f6sen 1';
catalog['Solving radical equations 2'] = 'Gleichungen mit Wurzeln l\u00f6sen 2';
catalog['Solving radical equations 3'] = 'Gleichungen mit Wurzeln l\u00f6sen 3';
catalog['Solving radical equations'] = 'Gleichungen mit Wurzeln l\u00f6sen';
catalog['Solving ratio problems with tables exercise 2'] = 'L\u00f6sen von Verh\u00e4ltnis-Problemen mit Tabellen \u00dcbung 2';
catalog['Solving ratio problems with tables exercise 3'] = 'L\u00f6sen von Verh\u00e4ltnis-Problemen mit Tabellen \u00dcbung 3';
catalog['Solving ratio problems with tables exercise'] = 'L\u00f6sen von Verh\u00e4ltnis-Problemen mit Tabellen \u00dcbung';
catalog['Solving ratio problems with tables'] = 'Verh\u00e4ltnis-Probleme mit Tabellen l\u00f6sen';
catalog['Solving rational equations 1'] = 'Rationale Gleichungen l\u00f6sen 1';
catalog['Solving rational equations 2'] = 'Rationale Gleichungen l\u00f6sen 2';
catalog['Solving rational equations 3'] = 'Rationale Gleichungen l\u00f6sen 3';
catalog['Solving rational equations'] = 'L\u00f6sung rationaler Gleichungen';
catalog['Solving similar triangles 1'] = '\u00c4hnliche Dreiecke 1';
catalog['Solving similar triangles 2'] = 'L\u00f6sen von \u00e4hnlichen Dreiecken 2';
catalog['Solving systems by elimination 2'] = 'Gleichungssysteme durch Elimination l\u00f6sen 2';
catalog['Solving systems by elimination 3'] = 'Gleichungssysteme durch Elimination l\u00f6sen 3';
catalog['Solving systems by elimination'] = 'Gleichungssysteme durch Elimination l\u00f6sen';
catalog['Solving systems by graphing 2'] = 'Grafisches L\u00f6sen von Gleichungssystemen 2';
catalog['Solving systems by graphing 3'] = 'Grafisches L\u00f6sen von Gleichungssystemen 3';
catalog['Solving systems by substitution 1'] = 'L\u00f6sen von Gleichungssystemen durch Substitution 1';
catalog['Solving systems by substitution 2'] = 'L\u00f6sen von Gleichungssystemen durch Substitution 2';
catalog['Solving systems by substitution 3'] = 'L\u00f6sen von Gleichungssystemen durch Substitution 3';
catalog['Solving systems graphically'] = 'Gleichungssysteme graphisch l\u00f6sen';
catalog['Solving systems of equations by elimination'] = 'Gleichungssysteme mit dem Einsetzungsverfahren l\u00f6sen';
catalog['Solving systems of equations by multiplication'] = 'L\u00f6sung von Gleichungssystemen durch Multiplikation';
catalog['Solving systems of equations for the king'] = 'Gleichungssysteme f\u00fcr en K\u00f6nig l\u00f6sen';
catalog['Solving systems of equations with elimination.'] = 'L\u00f6sung von Gleichungssystemen durch Gleichsetzen.';
catalog['Solving systems of equations with substitution.'] = 'L\u00f6sung von Gleichungssystemen mit Substitution.';
catalog['Solving systems of equations'] = 'Gleichungssysteme l\u00f6sen';
catalog['Solving systems through examples'] = 'Gleichungssysteme durch Beispiele l\u00f6sen';
catalog['Solving systems with elimination (addition-elimination)'] = 'Gleichungssysteme durch Eliminiation l\u00f6sen. (Additions-Elimination)';
catalog['Solving systems with elimination'] = 'Gleichungssysteme durch Elimination l\u00f6sen';
catalog['Solving systems with substitution'] = 'Gleichungssysteme durch Substitution l\u00f6sen';
catalog['Solving the P/E conundrum by looking at a different valuation metric (enterprise value)'] = 'Solving the P/E conundrum by looking at a different valuation metric (enterprise value)';
catalog['Solving the matrix vector equation'] = 'Solving the matrix vector equation';
catalog['Solving the second part to the projectile motion problem (with wind gust) using ordered set vector notation'] = 'Solving the second part to the projectile motion problem (with wind gust) using ordered set vector notation';
catalog['Solving the system of equations visually.  Now we can save the prince/princess'] = 'L\u00f6sen von Gleichungssystemen visuell.  Jetzt k\u00f6nnen wir den Prinzen, die Prinzessin retten';
catalog['Solving the troll riddle visually'] = 'Das Troll-R\u00e4tsel visuell l\u00f6sen';
catalog['Solving triangle in unit circle'] = 'Solving triangle in unit circle';
catalog['Somatosensation - Passage 1'] = 'Somatosensation - Passage 1';
catalog['Somatosensation - Passage 2'] = 'Somatosensation - Passage 2';
catalog['Somatosensation'] = 'Somatosensation';
catalog['Somatosensory homunculus'] = 'Somatosensory homunculus';
catalog['Some limit exercises'] = 'Some limit exercises';
catalog['Some more exact equation examples'] = 'Some more exact equation examples';
catalog['Some of Sal\'s oldest (and roughest) videos on algebra.  Great tutorial if you want to see what Khan Academy was like around 2006.  You might also like it if you feel like Sal has lost his magic now that he doesn\'t use the cheapest possible equipment to make the videos.'] = 'Einige von Sals \u00e4ltesten (und h\u00e4rtesten) Videos auf Algebra. Gro\u00dfartiges Tutorial, wenn du sehen m\u00f6chtest, wie die Khan Academy um 2006 war.  Du k\u00f6nntest es auch m\u00f6gen, wenn du denkst, dass Sal seine Magie verloren hat, da er nicht mehr die billigste Ausr\u00fcstung verwendet, um die Videos zu machen.';
catalog['Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )'] = 'Einige \u00dcbungen zur grafischen L\u00f6sung von Gleichungssystemen (\u00dcbungen siehe http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )';
catalog['Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it?  Watch and find out!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Some say Preload = End-Diastolic Pressure, others say Preload = End-Diastolic Volume, so which one is it?  Watch and find out!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Someone has taken the sine of an angle and got 0.85671 and they won\'t tell you what the angle is!!!  You must know it!  But how?!!!\n\nInverse trig functions are here to save your day (they often go under the aliases arcsin, arccos, and arctan).'] = 'Jemand hat den Sinus von einem Winkel berechnet und 0,85671 erhalten, aber er will dir nicht sagen, was der Winkel war!!! Du musst es wissen! Aber wie?!!!\n\nInverse trigonometrische Funktionen retten den Tag (man bezeichnet sie auch als Arcussinus, Arcuscosinus und Arcustangens).';
catalog['Sorry, Pi lovers! Maybe pick a better favorite number next time?'] = 'Sorry, Pi lovers! Maybe pick a better favorite number next time?';
catalog['Sorry, but the requested page could not be found.'] = 'Sorry, die angeforderte Seite konnte nicht gefunden werden.';
catalog['Sorry, but there was an error while trying to load the page.'] = 'Sorry, es gab ein Fehler beim Versuch, die Seite zu laden.';
catalog['Sorry, it didn\'t work.\n        Either your activation link was incorrect, or the activation key for your account has expired.\n        Activation keys are only valid for %(ndays)s days after registration.\n        If you think this could be the issue, try resubmitting your registration.\n        '] = 'Sorry, it didn\'t work.\n        Either your activation link was incorrect, or the activation key for your account has expired.\n        Activation keys are only valid for %(ndays)s days after registration.\n        If you think this could be the issue, try resubmitting your registration.\n        ';
catalog['Sorry, there was an error during registration. Please make sure your device is fully up to date (run %(command)s and then stop/start the server)." '] = 'Leider ist w\u00e4hrend der Registrierung ein Fehler aufgetreten. Stelle bitte sicher, dass dein Ger\u00e4t auf dem neuesten Stand ist (run %(command)s laufen lassen und dann den Server stoppen/ starten)."';
catalog['Sort groups by count'] = 'Sort groups by count';
catalog['Sound (Audition)'] = 'Sound (Audition)';
catalog['Sound (audition) - Passage 1'] = 'Sound (audition) - Passage 1';
catalog['Sound (audition) - Passage 2'] = 'Sound (audition) - Passage 2';
catalog['Sound'] = 'Sound';
catalog['Source encoding'] = 'Quellencodierung';
catalog['South Asia'] = 'South Asia';
catalog['South, East, and Southeast Asia'] = 'South, East, and Southeast Asia';
catalog['South, east, and southeast Asia '] = 'South, east, and southeast Asia ';
catalog['Southeast Asia'] = 'Southeast Asia';
catalog['Sp2, Sp Clarification'] = 'Sp2, Sp Clarification';
catalog['Space station speed in orbit'] = 'Space station speed in orbit';
catalog['Space, time, matter, and energy. The Big Bang provided the raw materials for everything around us today.<br>'] = 'Space, time, matter, and energy. The Big Bang provided the raw materials for everything around us today.<br>';
catalog['Spain'] = 'Spain';
catalog['Span and linear independence example'] = 'Beispiel f\u00fcr den Spann und die lineare Unabh\u00e4ngigkeit';
catalog['Speakers: David Drogin and Beth Harris'] = 'Sprecher: David Drogin und Beth Harris';
catalog['Speakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Speakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Speakers: Dr. David Drogin and Dr. Steven Zucker'] = 'Speakers: Dr. David Drogin and Dr. Steven Zucker';
catalog['Speakers: Dr. Steven Zucker & Dr. Beth Harris'] = 'Dialog: Dr. Steven Zucker & Dr. Beth Harris';
catalog['Speakers: Dr. Steven Zucker and Beth Harris'] = 'Speakers: Dr. Steven Zucker and Beth Harris';
catalog['Speakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Speakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Speakers: Dr. Steven Zucker, Isaac Peterson, Dr. Beth Harris'] = 'Speakers: Dr. Steven Zucker, Isaac Peterson, Dr. Beth Harris';
catalog['Special Products of Binomials'] = 'Spezielle Produkte von Binomen';
catalog['Special Types of Linear Systems'] = 'Spezielle Arten linearer Gleichungssysteme';
catalog['Special cases: Histidine, proline, glycine, cysteine'] = 'Special cases: Histidine, proline, glycine, cysteine';
catalog['Special derivatives'] = 'Spezielle Ableitungen';
catalog['Special products of binomials'] = 'Spezielle Produkte von Binomen';
catalog['Special properties and parts of triangles'] = 'Spezielle Eigenschaften und Teile von Dreiecken';
catalog['Special right triangles'] = 'Besondere rechtwinklige Dreiecke';
catalog['Special types of linear systems'] = 'Spezielle Arten linearer Gleichungssysteme';
catalog['Speciation: Of ligers & men'] = 'Artenbildung: von Ligern & M\u00e4nnern';
catalog['Species'] = 'Arten';
catalog['Specific Heat Capacity and Enthalpy of Vaporization example'] = 'Spezifische W\u00e4rmekapazit\u00e4t und Beispiel f\u00fcr Enthalpie der Verdampfung';
catalog['Specific gravity'] = 'Specific gravity';
catalog['Specific heat, heat of fusion and vaporization'] = 'Specific heat, heat of fusion and vaporization';
catalog['Specifict heat and phase changes: Calculating how much heat is needed to convert 200g of ice at -10C to 110 degree steam.'] = 'Spezifische Hitze und Phasen\u00e4nderungen: Berechne, wie viel W\u00e4rme ben\u00f6tigt wird, um 200 g Eis von -10\u00b0 C auf 110 \u00b0C hei\u00dfen Dampf zu erhitzen.';
catalog['Specifying planes in three dimensions'] = 'Specifying planes in three dimensions';
catalog['Spectrophotometry Example - Determining concentration based on absorbance'] = 'Beispiel f\u00fcr Spektralphotometrie - Bestimmung der Konzentration auf der Grundlage der Absorption';
catalog['Spectrophotometry example'] = 'Spectrophotometry example';
catalog['Spectrophotometry introduction'] = 'Spectrophotometry introduction';
catalog['Spectrophotometry, Transmittance, Absorbance and the Beer-Lambert Law'] = 'Spektralphotometrie, Transmission, Absorption und das Lambert-Beer Gesetz';
catalog['Spectroscopy'] = 'Spektroskopie';
catalog['Specular and Diffuse Reflection 2'] = 'Specular and Diffuse Reflection 2';
catalog['Specular and Diffuse Reflection'] = 'Specular and Diffuse Reflection';
catalog['Specular and diffuse reflection 2'] = 'Specular and diffuse reflection 2';
catalog['Specular and diffuse reflection'] = 'Specular and diffuse reflection';
catalog['Speculative attack on a currency'] = 'Speculative attack on a currency';
catalog['Speed and velocity - Passage 1'] = 'Speed and velocity - Passage 1';
catalog['Speed and velocity - Passage 2'] = 'Speed and velocity - Passage 2';
catalog['Speed and velocity'] = 'Geschwindigkeit und Bahngeschwindigkeit';
catalog['Speed necessary for the space station to stay in orbit'] = 'Speed necessary for the space station to stay in orbit';
catalog['Speed of shadow of diving bird'] = 'Speed of shadow of diving bird';
catalog['Speed translation'] = 'Geschwindigkeit umwandeln';
catalog['Spending the weekend studying'] = 'Am Wochenende lernen';
catalog['Sphereflakes'] = 'Sphereflakes';
catalog['Spherical mirrors'] = 'Spherical mirrors';
catalog['Spider Bot by Karl R. C. Wendt'] = 'Spider Bot by Karl R. C. Wendt';
catalog['Spider Bot is a low cost robot made of recycled components and designed by Karl R. C. Wendt'] = 'Spider Bot is a low cost robot made of recycled components and designed by Karl R. C. Wendt';
catalog['Spider Bot'] = 'Spider Bot';
catalog['Spider parts and tools'] = 'Spider parts and tools';
catalog['Spider\'s Arduino Nano'] = 'Spider\'s Arduino Nano';
catalog['Spider\'s LED eyes'] = 'Spider\'s LED eyes';
catalog['Spider\'s bezel'] = 'Spider\'s bezel';
catalog['Spider\'s click n\' stick'] = 'Spider\'s click n\' stick';
catalog['Spider\'s motor controller'] = 'Spider\'s motor controller';
catalog['Spider\'s power switch'] = 'Spider\'s power switch';
catalog['Spider\'s romance'] = 'Spider\'s romance';
catalog['Spider\'s stablizer bar'] = 'Spider\'s stablizer bar';
catalog['Spider\'s wheels'] = 'Spider\'s wheels';
catalog['Spin down your blood and find out what it\'s made up of.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Spin down your blood and find out what it\'s made up of.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Spinning compass'] = 'Spinning compass';
catalog['Spirals, Fibonacci and being a plant'] = 'Spiralen, Fibonacci und wie man sich als Pflanze f\u00fchlt';
catalog['Spirit & Opportunity'] = 'Spirit & Opportunity';
catalog['Spitzer Telescope'] = 'Spitzer Teleskop';
catalog['Splitting pie with family'] = 'Kuchen auf die Familie aufteilen';
catalog['SpongeBob background designer\'s response: "OK, I guess the jig is up... I\'m tired of living a lie." See his full message and pineapple redesign: http://kennypittenger.blogspot.com/2012/01/called-out.html\n\nP.S. http://youtu.be/sFTwc8kHSu4\nFor more on Fibonacci and Plants: http://youtu.be/ahXIMUkSXX0\nFor more snail: http://youtu.be/xbsAUq_nvxE'] = 'SpongeBob background designer\'s response: "OK, I guess the jig is up... I\'m tired of living a lie." See his full message and pineapple redesign: http://kennypittenger.blogspot.com/2012/01/called-out.html\n\nP.S. http://youtu.be/sFTwc8kHSu4\nFor more on Fibonacci and Plants: http://youtu.be/ahXIMUkSXX0\nFor more snail: http://youtu.be/xbsAUq_nvxE';
catalog['Spontaneous conversations about works of art where the speakers are not afraid to disagree with each other or art history orthodoxy. Videos are made by \n\nDr. Beth Harris and Dr. Steven Zucker along with other contributors and maintained at http://smarthistory.khanacademy.org/.'] = 'Spontaneous conversations about works of art where the speakers are not afraid to disagree with each other or art history orthodoxy. Videos are made by \n\nDr. Beth Harris and Dr. Steven Zucker along with other contributors and maintained at http://smarthistory.khanacademy.org/.';
catalog['Spotting salty foods'] = 'Spotting salty foods';
catalog['Spout Bot with Solder'] = 'Spout Bot with Solder';
catalog['Spout Bot without Solder'] = 'Spout Bot without Solder';
catalog['Spout antennae and tail'] = 'Spout antennae and tail';
catalog['Spout battery configuration and polarization'] = 'Spout battery configuration and polarization';
catalog['Spout lights'] = 'Spout lights';
catalog['Spout motor mount'] = 'Spout motor mount';
catalog['Spout motor wiring'] = 'Spout motor wiring';
catalog['Spout motor'] = 'Spout motor';
catalog['Spout switches'] = 'Spout switches';
catalog['Spout tools'] = 'Spout tools';
catalog['Spout wiring for LED eyes'] = 'Spout wiring for LED eyes';
catalog['Spout\'s reversing circuit and final assembly'] = 'Spout\'s reversing circuit and final assembly';
catalog['Spout\'s sliding SPDT switch'] = 'Spout\'s sliding SPDT switch';
catalog['Spring potential energy example (mistake in math)'] = 'Spring potential energy example (mistake in math)';
catalog['Springs and Hooke\'s Law'] = 'Springs and Hooke\'s Law';
catalog['Springs and Hooke\'s law'] = 'Springs and Hooke\'s law';
catalog['Square a Binomial'] = 'Ein Binom quadrieren';
catalog['Square a binomial'] = 'Ein Binom quadrieren';
catalog['Square roots and cube roots'] = 'Quadrat- und Kubikwurzeln';
catalog['Square roots and real numbers'] = 'Quadratwurzeln und reelle Zahlen';
catalog['Square roots of perfect squares'] = 'die Quadratwurzel einer ganzen positiven Quadrat';
catalog['Squared error of regression line'] = 'Quadratische Fehler der Regressionsgeraden';
catalog['Squaring a binomial example 2'] = 'Quadrieren eines Binoms-Beispiel 2';
catalog['Squaring a binomial'] = 'Quadrieren eines Binoms';
catalog['Squeeze theorem (sandwich theorem)'] = 'Squeeze theorem (sandwich theorem)';
catalog['Squeeze theorem exercise example'] = 'Squeeze theorem exercise example';
catalog['Squeeze theorem or sandwich theorem'] = 'Squeeze theorem or sandwich theorem';
catalog['Squeeze theorem'] = 'Einschn\u00fcrungssatz';
catalog['Squirrel survival'] = '\u00dcberleben von Eichh\u00f6rnchen';
catalog['St. Michael the archangel, sassy devil and crew'] = 'St. Michael the archangel, sassy devil and crew';
catalog['Stabilization of conjugate base I'] = 'Stabilization of conjugate base I';
catalog['Stabilization of conjugate base II'] = 'Stabilization of conjugate base II';
catalog['Stabilization of conjugate base III'] = 'Stabilization of conjugate base III';
catalog['Stabilization of conjugate base IV'] = 'Stabilization of conjugate base IV';
catalog['Stagflation'] = 'Stagflation';
catalog['Standard Error of the Mean (a.k.a. the standard deviation of the sampling distribution of the sample mean!)'] = 'Standardfehler des Mittelwerts (die Standardabweichung der Stichprobenverteilung vom Stichproben-Mittelwert!)';
catalog['Standard cell'] = 'Standard cell';
catalog['Standard error of the mean'] = 'Standardfehler des arithmetischen Mittels';
catalog['Standard heat of formation or standard  enthalpy change of formation.'] = 'Standard heat of formation or standard  enthalpy change of formation.';
catalog['Standard of Ur, c. 2600-2400 B.C.E., 21.59 x 49.5 x 12 cm (British Museum) Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris'] = 'Standard of Ur, c. 2600-2400 B.C.E., 21.59 x 49.5 x 12 cm (British Museum) Speakers: Dr. Steven Zucker &amp; Dr. Beth Harris';
catalog['Stanford School of Medicine'] = 'Stanford School of Medicine';
catalog['Stanford is collaborating with Khan Academy to provide free health and medicine content to anyone, anywhere.'] = 'Stanford arbeitet mit der Khan Academy zusammen, um frei verf\u00fcgbare Gesundheits- und Medizin-Themen f\u00fcr jedermann und \u00fcberall verf\u00fcgbar zu machen.';
catalog['Star Field and Nebula Images'] = 'Sternenhimmel und Nebel-Bilder';
catalog['Star field and nebula images'] = 'Star field and nebula images';
catalog['Stars begin when material drifting in space condenses due to gravity to be dense enough for fusion to occur.  Depending on the volume and make-up of this material, the star could then develop into very different things--from supernovae, to neutron stars, to black holes. \n\nThis tutorial explores the life of stars and will have you appreciating the grand weirdness of our reality.'] = 'Sterne beginnen zu leuchten, wenn sich im Weltraum schwebendes Material unter dem Einfluss der Schwerkraft so dicht zusammenballt, dass es zur Kernfusion kommt. Abh\u00e4ngig von der Menge und der Art des Materials, kann sich der Stern ziemlich verschieden entwickeln, hin zu einer Supernova oder einem Neutronenstern oder auch einem schwarzen Loch.\n\n Dieses Tutorial erforscht das Leben der Sterne und wird euch nahebringen, wie merkw\u00fcrdig unsere Realit\u00e4t eigentlich ist.';
catalog['Stars, black holes and galaxies'] = 'Sterne, schwarze L\u00f6cher und Galaxien';
catalog['Start Date'] = 'Start Date';
catalog['Start your own robotics project with Spout, Spider, and Bit-zee!'] = 'Starte Dein eigenes Robotik-Projekt mit Spout, Spider und Bit-Zee!';
catalog['Starter multiplication and division word problems'] = 'Leichte Textaufgaben zur Multiplikation und Division';
catalog['Starting to apply Stokes theorem to solve a line integral'] = 'Starting to apply Stokes theorem to solve a line integral';
catalog['Starting to figure out the area of a Koch Snowflake (which has an infinite perimeter)'] = 'Starting to figure out the area of a Koch Snowflake (which has an infinite perimeter)';
catalog['Starting to think about how a monopolist would rationally optimize profits'] = 'Starting to think about how a monopolist would rationally optimize profits';
catalog['Starting to work on the line integral about the surface'] = 'Starting to work on the line integral about the surface';
catalog['States of consciousness'] = 'States of consciousness';
catalog['States of matter follow-up'] = 'States of matter follow-up';
catalog['States of matter'] = 'Aggregatzust\u00e4nde';
catalog['Static and kinetic friction example'] = 'Static and kinetic friction example';
catalog['Statistical and non statistical questions'] = 'Statistische und nicht statistischen Fragen';
catalog['Statistical questions'] = 'Statistical questions';
catalog['Statistical significance of experiment'] = 'Statistical significance of experiment';
catalog['Statistical studies'] = 'Statistical studies';
catalog['Statistics and probability'] = 'Statistik und Wahrscheinlichkeitsrechnung';
catalog['Statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population.   The fun must not stop!\n\t\nCommon  Core Standard: 7.SP.A.1, 7.SP.A.2'] = 'Statistik kann verwendet werden, um Informationen zu einer Bev\u00f6lkerung anhand einer Stichprobe zu gewinnen. Allgemeine Aussagen \u00fcber eine Bev\u00f6lkerungsgruppe aufgrund einer Stichprobe sind nur g\u00fcltig, wenn die Stichprobe repr\u00e4sentativ f\u00fcr diese Bev\u00f6lkerungsgruppe ist. Der Spa\u00df muss nicht aufh\u00f6ren! \n\t\nCommon Core Standard: 7.SP.A. 1, 7.SP.A. 2';
catalog['Statistics intro: Mean, median and mode'] = 'Einf\u00fchrung Statistik: Mittelwert, Median und Modus';
catalog['Statistics: Alternate variance formulas'] = 'Statistik: Alternative Formel f\u00fcr die Varianz';
catalog['Statistics: Sample variance'] = 'Statistik: Stichprobenvarianz';
catalog['Statistics: Standard deviation'] = 'Statistik: Standardabweichung';
catalog['Statistics: The average'] = 'Statistik: Der Mittelwert';
catalog['Statistics: Variance of a population'] = 'Statistik: Varianz einer Grundgesamtheit';
catalog['Statue of Sleeping  Eros, Hellenistic or Augustan, 3rd Century B.C.E., Early 1st Century C.E.and Statue of an Old Market Woman, Early Imperial, Julio-Claudian, 1st Century C.E., both Hellenistic Period. \n\nSpeakers: Brian Seymour and Monica Hahn'] = 'Statue of Sleeping  Eros, Hellenistic or Augustan, 3rd Century B.C.E., Early 1st Century C.E.and Statue of an Old Market Woman, Early Imperial, Julio-Claudian, 1st Century C.E., both Hellenistic Period. \n\nSpeakers: Brian Seymour and Monica Hahn';
catalog['Statue of a woman, known as the &quot;Lady of Auxerre,&quot; Eleutherna, Crete(?), Greece, c. 650-625 B.C.E., Daedalic style, limestone, 75 cm high (Mus&eacute;e du Louvre)<br />\n<br />\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'Statue of a woman, known as the &quot;Lady of Auxerre,&quot; Eleutherna, Crete(?), Greece, c. 650-625 B.C.E., Daedalic style, limestone, 75 cm high (Mus&eacute;e du Louvre)<br />\n<br />\nSpeakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['Steady states and the Michaelis Menten equation'] = 'Steady states and the Michaelis Menten equation';
catalog['Stellar Distance Using Parallax'] = 'Stellar Distance Using Parallax';
catalog['Stellar Parallax Clarification'] = 'Stellar Parallax Clarification';
catalog['Stellar distance using parallax'] = 'Stellar distance using parallax';
catalog['Stellar parallax can be used for "nearby" stars, but what if we want to measure further out?  Well this tutorial will expose you to a class of stars that helps us do this.  Cepheids are large, bright, variable stars that are visible in  other galaxies.  We know how bright they should be and can gauge how far they are by how bright they look to us.'] = 'Die stellare Parallaxe kann f\u00fcr nahe Sterne verwendet werden, aber was, wenn wir weiter hinaus messen wollen? Dieses Tutorial stellt euch eine Art Stern vor , der daf\u00fcr hilfreich ist. Cepheiden sind gro\u00dfe, helle, ver\u00e4nderliche Sterne die bis in andere Milchstra\u00dfen hin sichtbar sind. Wir wissen wie hell sie sein sollten und k\u00f6nnen durch das Messen ihrer Helligkeit erkennen, wie weit sie von uns weg sind.';
catalog['Stellar parallax clarification'] = 'Stellar parallax clarification';
catalog['Stellar parallax'] = 'Die stellare Parallaxe';
catalog['Stem-and-leaf Plots'] = 'Stamm-Blatt-Diagramm';
catalog['Stem-and-leaf plots'] = 'Stamm-Blatt-Diagramm';
catalog['Stenosis, ischemia and heart failure'] = 'Stenosis, ischemia and heart failure';
catalog['Step 1-Set up mypaychex com logins'] = 'Step 1-Set up mypaychex com logins';
catalog['Step 2-Human Resources Online'] = 'Step 2-Human Resources Online';
catalog['Stepping through insertion sort function'] = 'Stepping through insertion sort function';
catalog['Stepping through iterative Fibonacci function'] = 'Stepping through iterative Fibonacci function';
catalog['Stepping through recursive Fibonacci function'] = 'Stepping through recursive Fibonacci function';
catalog['Stepping through the factorial program'] = 'Fakult\u00e4t Programms durchlaufen';
catalog['Stepping through what happens when a user inputs a particular value into our factorial program'] = 'Stepping through what happens when a user inputs a particular value into our factorial program';
catalog['Stereochemistry'] = 'Stereochemie';
catalog['Stereoisomers, Enantiomers, Diastereomers, Constitutional Isomers and Meso Compounds'] = 'Stereoisomere, Enantiomere, Diastereomere, konstitutionelle Isomere und Meso-Verbindungen';
catalog['Stereoisomers, enantiomers, diastereomers, constitutional isomers and meso compounds'] = 'Stereoisomere, Enantiomere, Diastereomere, Konstitutionsisomere und meso-Verbindungen';
catalog['Steric hindrance'] = 'Steric hindrance';
catalog['Steric number and hybridization'] = 'Steric number and hybridization';
catalog['Steven Zucker and Sal Khan discuss Andy Warhol\'s Campbell\'s Soup Cans'] = 'Steven Zucker und Sal Khan diskutieren \u00fcber Warhols "Campbell\'s Soup Cans"';
catalog['Stock Price Behavior After Announced Acquisition with Shares'] = 'Stock Price Behavior After Announced Acquisition with Shares';
catalog['Stock basics'] = 'Aktien Grundlagen';
catalog['Stock dilution'] = 'Stock dilution';
catalog['Stocks and bonds'] = 'Aktien und Anleihen';
catalog['Stoichiometry example problem 1'] = 'Stoichiometry example problem 1';
catalog['Stoichiometry example problem 2'] = 'Stoichiometry example problem 2';
catalog['Stoichiometry of a Reaction in Solution'] = 'Stoichiometry of a Reaction in Solution';
catalog['Stoichiometry of a reaction in solution'] = 'Stoichiometry of a reaction in solution';
catalog['Stoichiometry'] = 'St\u00f6chiometrie';
catalog['Stoichiometry: Limiting reagent'] = 'Stoichiometry: Limiting reagent';
catalog['Stokes example part 1'] = 'Stokes example part 1';
catalog['Stokes example part 2: Parameterizing the surface'] = 'Stokes example part 2: Parameterizing the surface';
catalog['Stokes example part 3: Surface to double integral'] = 'Stokes example part 3: Surface to double integral';
catalog['Stokes example part 4: Curl and final answer'] = 'Stokes example part 4: Curl and final answer';
catalog['Stokes\' theorem intuition and application'] = 'Stokes\' Theorem verstehen und anwenden';
catalog['Stokes\' theorem intuition'] = 'Stokes\' theorem intuition';
catalog['Stokes\' theorem proof part 1'] = 'Stokes\' theorem proof part 1';
catalog['Stokes\' theorem proof part 2'] = 'Stokes\' theorem proof part 2';
catalog['Stokes\' theorem proof part 3'] = 'Stokes\' theorem proof part 3';
catalog['Stokes\' theorem proof part 4'] = 'Stokes\' theorem proof part 4';
catalog['Stokes\' theorem proof part 5'] = 'Stokes\' theorem proof part 5';
catalog['Stokes\' theorem proof part 6'] = 'Stokes\' theorem proof part 6';
catalog['Stokes\' theorem proof part 7'] = 'Stokes\' theorem proof part 7';
catalog['Stokes\' theorem relates the line integral around a surface to the curl on the surface. This tutorial explores the intuition behind Stokes\' theorem, how it is an extension of Green\'s theorem to surfaces (as opposed to just regions) and gives some examples using it.  We prove Stokes\' theorem in another tutorial.  Good to come to this tutorial having experienced the tutorial on "flux in 3D".'] = 'Stokes\' theorem relates the line integral around a surface to the curl on the surface. This tutorial explores the intuition behind Stokes\' theorem, how it is an extension of Green\'s theorem to surfaces (as opposed to just regions) and gives some examples using it.  We prove Stokes\' theorem in another tutorial.  Good to come to this tutorial having experienced the tutorial on "flux in 3D".';
catalog['Stokes\' theorem'] = 'Stokes\' Theorem';
catalog['Stop being rational and review how to understand and solve equations with imaginary and complex numbers!'] = 'Stop being rational and review how to understand and solve equations with imaginary and complex numbers!';
catalog['Store multiple values in your variables with arrays!'] = 'Speichere mehrere Werte in deinen Variablen mit Arrays!';
catalog['Store values using the variable block (build a counter)'] = 'Store values using the variable block (build a counter)';
catalog['Stored elastic energy in large and middle sized arteries'] = 'Stored elastic energy in large and middle sized arteries';
catalog['Stories of success from the protagonist schools about their forays into blended learning'] = 'Stories of success from the protagonist schools about their forays into blended learning';
catalog['Stories of the modern pilgrimage'] = 'Stories of the modern pilgrimage';
catalog['Streak'] = 'Streak';
catalog['Stroke work in PV loops and boxes'] = 'Stroke work in PV loops and boxes';
catalog['Strokes'] = 'Strokes';
catalog['Strong Activators'] = 'Strong Activators';
catalog['Strong acid titration and equivalence point'] = 'Titration starker S\u00e4uren und \u00c4quivalenzpunkt';
catalog['Strong acid titration'] = 'Strong acid titration';
catalog['Structural (constitutional) isomers'] = 'Structural (constitutional) isomers';
catalog['Structure in exponential expression'] = 'Struktur in der Potenzfunktion';
catalog['Structure in expressions 1'] = 'Struktur in Ausdr\u00fccken 1';
catalog['Structure in linear expressions'] = 'Struktur linearer Terme';
catalog['Structure in rational expression'] = 'Struktur in rationalem Ausdruck';
catalog['Structure of the Earth - crust, mantle, core'] = 'Struktur der Erde - Kruste, Mantel, Kern';
catalog['Structure of the earth'] = 'Structure of the earth';
catalog['Struggling HS student made it to Columbia'] = 'Struggling HS student made it to Columbia';
catalog['Struggling'] = 'Struggling';
catalog['Stuck, The Sin'] = 'Stuck, The Sin';
catalog['Stuck? Watch a video.'] = 'Probleme?  Schau ein Video an.';
catalog['Student Name'] = 'Student Name';
catalog['Student Usage Reports'] = 'Student Usage Reports';
catalog['Student experience overview'] = 'Student experience overview';
catalog['Student testimonial: Charlie Marsh'] = 'Student testimonial: Charlie Marsh';
catalog['Student'] = 'Student';
catalog['Studio Tour: Thomas Lanigan-Schmidt'] = 'Studio Tour: Thomas Lanigan-Schmidt';
catalog['Study for college prep'] = 'Study for college prep';
catalog['Study tips for brushing up'] = 'Study tips for brushing up';
catalog['Studying, shoe size, and test scores scatter plots'] = 'Streudiagramme f\u00fcr Lernzeit, Schuhgr\u00f6\u00dfe und Testpunkte';
catalog['Subset, strict subset, and superset'] = 'Teilmenge, echte Teilmenge und Obermenge';
catalog['Subspace projection matrix example'] = 'Subspace projection matrix example';
catalog['Subspaces and the basis for a subspace'] = 'Unterr\u00e4ume und die Basis eines Unterraums';
catalog['Substitution Method 2'] = 'Substitutionsmethode 2';
catalog['Substitution Method 3'] = 'Substitutionsmethode 3';
catalog['Substitution and elimination reactions'] = 'Substitutions- und Eliminierungsreaktionen';
catalog['Substitution method 2'] = 'Substitutionsmethode 2';
catalog['Substitution method 3'] = 'Substitutionsmethode 3';
catalog['Subtopics'] = 'Unterthemen';
catalog['Subtract tens'] = 'Zehner subtrahieren';
catalog['Subtract within 1000: Level 1'] = 'Subtraktion bis 1000: Stufe 1';
catalog['Subtract within 1000: Level 2'] = 'Subtraktion bis 1000: Stufe 2';
catalog['Subtracting  Fractions'] = 'Br\u00fcche subtrahieren';
catalog['Subtracting  fractions'] = 'Br\u00fcche subtrahieren';
catalog['Subtracting Complex Numbers'] = 'Komplexen Zahlen subtrahieren';
catalog['Subtracting Decimals Word Problem'] = 'Textaufgabe zur Subtraktion von Dezimalzahlen';
catalog['Subtracting Decimals'] = 'Dezimalzahlen subtrahieren';
catalog['Subtracting Mixed Numbers 2'] = 'Gemischte Br\u00fcche subtrahieren 2';
catalog['Subtracting Mixed Numbers Word Problem'] = 'Subtraktion gemischter Br\u00fcche - Textaufgabe';
catalog['Subtracting Mixed Numbers'] = 'Gemischte Br\u00fcche subtrahieren';
catalog['Subtracting Polynomials'] = 'Polynome subtrahieren';
catalog['Subtracting Rational Expressions'] = 'Subtraktion gebrochener Ausdr\u00fccke';
catalog['Subtracting Whole Numbers'] = 'Ganzer Zahlen subtrahieren';
catalog['Subtracting and Simplifying Radicals'] = 'Subtrahieren und vereinfachen von Wurzeln';
catalog['Subtracting and simplifying radicals'] = 'Subtrahieren und vereinfachen von Wurzeln';
catalog['Subtracting complex numbers'] = 'Komplexen Zahlen subtrahieren';
catalog['Subtracting decimal numbers'] = 'Dezimalzahlen subtrahieren';
catalog['Subtracting decimals (old)'] = 'Dezimalzahlen subtrahieren (alt)';
catalog['Subtracting decimals 0.5'] = 'Dezimalzahlen subtrahieren 0.5';
catalog['Subtracting decimals 2'] = 'Dezimalzahlen subtrahieren 2';
catalog['Subtracting decimals up to hundredths'] = 'Subtraktion von Dezimalzahlen bis zu Hundertsteln';
catalog['Subtracting decimals up to thousandths place'] = 'Subtraktion von Dezimalzahlen bis auf Tausendstel';
catalog['Subtracting decimals word problem'] = 'Subtraktion von Dezimalzahlen - Textaufgabe';
catalog['Subtracting decimals'] = 'Dezimalzahlen subtrahieren';
catalog['Subtracting fractions with common denominators'] = 'Br\u00fcche mit gleichen Nennern subtrahieren';
catalog['Subtracting fractions with unlike denominators word problem'] = 'Textaufgabe: Subtraktion von Br\u00fcchen mit ungleichen Nennern';
catalog['Subtracting fractions with unlike denominators'] = 'Br\u00fcche mit ungleichen Nennern subtrahieren';
catalog['Subtracting fractions'] = 'Br\u00fcche subtrahieren';
catalog['Subtracting mixed numbers 2'] = 'Gemischte Br\u00fcche subtrahieren 2';
catalog['Subtracting mixed numbers with like denominators'] = 'Gemischte Zahlen mit gleichem Nenner subtrahieren';
catalog['Subtracting mixed numbers word problem'] = 'Subtraktion gemischter Br\u00fcche - Textaufgabe';
catalog['Subtracting mixed numbers'] = 'Gemischte Br\u00fcche subtrahieren';
catalog['Subtracting multi-digit numbers'] = 'mehrstellige Zahlen subtrahieren';
catalog['Subtracting polynomials with multiple variables'] = 'Substraktion von Polynomen mit mehreren Variablen';
catalog['Subtracting polynomials'] = 'Subtrahieren von Polynomen';
catalog['Subtracting rational expressions'] = 'Subtraktion gebrochener Ausdr\u00fccke';
catalog['Subtracting vectors exercise example'] = 'Subtracting vectors exercise example';
catalog['Subtracting within 20'] = 'Subtrahieren bis 20';
catalog['Subtraction 2'] = 'Subtraktion 2';
catalog['Subtraction with borrowing (regrouping)'] = 'Subtraktion mit \u00dcbertrag';
catalog['Subtraction within 100'] = 'Subtraktion bis 100';
catalog['Subtraction within 1000'] = 'Subtraktion bis 1000';
catalog['Subtraction within 20'] = 'Subtraktion bis 20';
catalog['Subtraction within 5'] = 'Subtraktion im 5-er Raum';
catalog['Subtraction word problems within 10'] = 'Textaufgaben zur Subtraktion bis 10';
catalog['Sulfonation of benzene'] = 'Sulfonation of benzene';
catalog['Sulfonation'] = 'Sulfonation';
catalog['Sum and product of rational numbers'] = 'Summe und Produkt von rationalen Zahlen';
catalog['Sum of Consecutive Odd Integers'] = 'Summe der aufeinander folgenden ungeraden Zahlen';
catalog['Sum of Functions'] = 'Summe von Funktionen';
catalog['Sum of Interior Angles of Any Polygon'] = 'Sum of Interior Angles of Any Polygon';
catalog['Sum of Logarithms with Same Base'] = 'Summe von Logarithmen mit derselben Basis';
catalog['Sum of Polynomial Roots'] = 'Summe der Polynomwurzeln';
catalog['Sum of Squares of Polynomial Roots (Newton Sums)'] = 'Summe der Quadrate von Polynomwurzeln (Newton-Summen)';
catalog['Sum of an infinite geometric series'] = 'Summe einer unendlichen geometrischen Reihe';
catalog['Sum of consecutive odd integers'] = 'Summe der aufeinander folgenden ungeraden Zahlen';
catalog['Sum of factors 2'] = 'Summe der Faktoren 2';
catalog['Sum of factors of 27000'] = 'Summe der Faktoren von 27000';
catalog['Sum of functions'] = 'Summe von Funktionen';
catalog['Sum of interior angles of a polygon'] = 'Summe der Innenwinkel eines Polygons';
catalog['Sum of logarithms with same base'] = 'Summe von Logarithmen mit derselben Basis';
catalog['Sum of polynomial evaluated at roots of another polynomial'] = 'Summe der ausgewerteten Polynome, als Wurzeln f\u00fcr ein weiteres Polynom';
catalog['Sum of polynomial roots (proof)'] = 'Sum of polynomial roots (proof)';
catalog['Sum of squares of polynomial roots'] = 'Sum of squares of polynomial roots';
catalog['Sum of the exterior angles of convex polygon'] = 'Sum of the exterior angles of convex polygon';
catalog['Sumerian art: Standard of Ur from the Royal Tombs at Ur'] = 'Sumerian art: Standard of Ur from the Royal Tombs at Ur';
catalog['Summary (what\'s next?)'] = 'Zusammenfassung (was kommt als n\u00e4chstes?)';
catalog['Summary of thoughts in last two videos.  Discussion of why Fractional Reserve Banking is a subsidy to banks and allows them to arbitrage the yield curve.'] = 'Summary of thoughts in last two videos.  Discussion of why Fractional Reserve Banking is a subsidy to banks and allows them to arbitrage the yield curve.';
catalog['Summing an infinite geometric series to finally find the finite area of a Koch Snowflake'] = 'Summing an infinite geometric series to finally find the finite area of a Koch Snowflake';
catalog['Sums and Scalar Multiples of Linear Transformations.  Definitions of matrix addition and scalar multiplication.'] = 'Sums and Scalar Multiples of Linear Transformations.  Definitions of matrix addition and scalar multiplication.';
catalog['Sums and scalar multiples of linear transformations'] = 'Sums and scalar multiples of linear transformations';
catalog['Super Yoga Plans'] = 'Super Yoga-Pl\u00e4ne';
catalog['Super Yoga plans'] = 'Super Yoga-Pl\u00e4ne';
catalog['Super Yoga plans: Basic variables and equations'] = 'Super-Yoga Pl\u00e4ne: Grundlegende Variablen und Gleichungen';
catalog['Super Yoga plans: Plotting points'] = 'Super Yoga Pl\u00e4ne: Punkte Zeichnen';
catalog['Super Yoga plans: Solving one-step equations'] = 'Super Yoga Pl\u00e4ne: einstufiges Gleichungen l\u00f6sen';
catalog['Super Yoga plans: Solving systems by elimination'] = 'Super Yoga Pl\u00e4ne: L\u00f6sen von Gleichungssystemen durch Elimination';
catalog['Super Yoga plans: Solving systems by substitution'] = 'Super Yoga Pl\u00e4ne: L\u00f6sen von Gleichungssystemen durch Substitution';
catalog['Super fast systems of equations'] = 'Superschnelle Gleichungssysteme';
catalog['Supermassive Black Holes'] = 'Supermassive schwarze L\u00f6cher';
catalog['Supermassive black holes'] = 'Supermassive black holes';
catalog['Supernova (Supernovae)'] = 'Supernova (Supernovae)';
catalog['Supernova (supernovae)'] = 'Supernova (supernovae)';
catalog['Supernova clarification'] = 'Supernova clarification';
catalog['Supply, demand and market equilibrium'] = 'Angebot, Nachfrage und Markt-Gleichgewicht';
catalog['Surface and volume density word problems'] = 'Textaufgaben zu Fl\u00e4chen und Dichte';
catalog['Surface area 2'] = 'Surface area 2';
catalog['Surface area'] = 'Oberfl\u00e4che';
catalog['Surface integral ex2 part 1: Parameterizing the surface'] = 'Surface integral ex2 part 1: Parameterizing the surface';
catalog['Surface integral ex2 part 2: Evaluating integral'] = 'Surface integral ex2 part 2: Evaluating integral';
catalog['Surface integral ex3 part 1: Parameterizing the outside surface'] = 'Surface integral ex3 part 1: Parameterizing the outside surface';
catalog['Surface integral ex3 part 2: Evaluating the outside surface'] = 'Surface integral ex3 part 2: Evaluating the outside surface';
catalog['Surface integral ex3 part 3: Top surface'] = 'Surface integral ex3 part 3: Top surface';
catalog['Surface integral ex3 part 4: Home stretch'] = 'Surface integral ex3 part 4: Home stretch';
catalog['Surface integral example part 1: Parameterizing the unit sphere'] = 'Surface integral example part 1: Parameterizing the unit sphere';
catalog['Surface integral example part 2: Calculating the surface differential'] = 'Surface integral example part 2: Calculating the surface differential';
catalog['Surface integral example part 3: The home stretch'] = 'Surface integral example part 3: The home stretch';
catalog['Surface integrals and Stokes\' theorem'] = 'Fl\u00e4chenintegrale und Stokes\' Theorem';
catalog['Surface integrals'] = 'Surface integrals';
catalog['Surjective (onto) and injective (one-to-one) functions'] = 'Surjective (onto) and injective (one-to-one) functions';
catalog['Surveys of history'] = 'Surveys of history';
catalog['Suspensions, Colloids and Solutions.  The difference between Molarity and Molality.'] = 'Kolloide, Suspensionen und L\u00f6sungen.  Der Unterschied zwischen Molarit\u00e4t und Modalit\u00e4t.';
catalog['Suspensions, colloids and solutions'] = 'Suspensions, colloids and solutions';
catalog['Sustainable energy is one of the greatest challenges for chemists today.<br>'] = 'Sustainable energy is one of the greatest challenges for chemists today.<br>';
catalog['Sutton Hoo Ship Burial, c. 700 (British Museum, London)\n\nMultiple bronze, gold and silver objects of Anglo Saxon origin, found in Suffolk, England, including: a helmet, sceptre, sword, hanging bowl, bowls and spoons, shoulder clasps, a belt buckle, and purse lid.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Sutton Hoo Ship Burial, c. 700 (British Museum, London)\n\nMultiple bronze, gold and silver objects of Anglo Saxon origin, found in Suffolk, England, including: a helmet, sceptre, sword, hanging bowl, bowls and spoons, shoulder clasps, a belt buckle, and purse lid.\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['Sutton Hoo ship burial'] = 'Sutton Hoo ship burial';
catalog['Swapping the bounds for definite integral'] = 'Vertauschen der Grenzen f\u00fcr bestimmtes Integral';
catalog['Switch block (nested)'] = 'Switch block (nested)';
catalog['Switch block'] = 'Switch block';
catalog['Switch statements & logic'] = 'Switch statements & logic';
catalog['Sykes-Picot Agreement and the Balfour Declaration'] = 'Sykes-Picot Agreement and the Balfour Declaration';
catalog['Symbol rate'] = 'Symbolrate';
catalog['Symbolic differentiation'] = 'Symbolic differentiation';
catalog['Symbolic interactionism'] = 'Symbolic interactionism';
catalog['Symbolism & Art Nouveau'] = 'Symbolism & Art Nouveau';
catalog['Symbolism and Art Nouveau'] = 'Symbolism and Art Nouveau';
catalog['Symmetry and periodicity of trig functions'] = 'Symmetry and periodicity of trig functions';
catalog['Symmetry and periodicity of trigonometric functions'] = 'Symmetry and periodicity of trigonometric functions';
catalog['Symmetry of trig values'] = 'Symmetry of trig values';
catalog['Symmetry of two-dimensional shapes'] = 'Symmetrie zweidimensionaler Formen';
catalog['Symmetry'] = 'Symmetrie';
catalog['Sympathetic nerves affect myosin activity'] = 'Sympathetic nerves affect myosin activity';
catalog['Syn dihydroxylation'] = 'Syn dihydroxylation';
catalog['Synapse structure'] = 'Synapse structure';
catalog['Sync Date'] = 'Sync Date';
catalog['Sync Now!'] = 'Sync Now!';
catalog['Sync Sessions'] = 'Sync Sessions';
catalog['Sync via USB'] = 'Sync via USB';
catalog['Synthesis and cleavage of ethers'] = 'Synthesis and cleavage of ethers';
catalog['Synthesis of alcohols using Grignard reagents I'] = 'Synthesis of alcohols using Grignard reagents I';
catalog['Synthesis of alcohols using Grignard reagents II'] = 'Synthesis of alcohols using Grignard reagents II';
catalog['Synthesis of alcohols'] = 'Synthese von Alkoholen';
catalog['Synthesis of substituted benzene rings I'] = 'Synthesis of substituted benzene rings I';
catalog['Synthesis of substituted benzene rings II'] = 'Synthesis of substituted benzene rings II';
catalog['Synthesis practice problems'] = 'Synthesis practice problems';
catalog['Synthesis using alkynes'] = 'Synthesis using alkynes';
catalog['Synthetic division example 2'] = 'Synthetische Division - Beispiel 2';
catalog['Synthetic division'] = 'Synthetische Division';
catalog['System Update'] = 'System Update';
catalog['System Updates'] = 'System Updates';
catalog['System for solving the King\'s problems'] = 'Ein System um das Problem des K\u00f6nigs zu l\u00f6sen';
catalog['System of Inequalities Application'] = 'Anwendung: System von Ungleichungen';
catalog['System of equations for passing trains problem'] = 'Gleichungssystem f\u00fcr entgegenkommende Z\u00fcge';
catalog['System of inequalities application'] = 'Anwendung: System von Ungleichungen';
catalog['System permissions prevented time setting, please run with root permissions'] = 'System permissions prevented time setting, please run with root permissions';
catalog['System time was reset successfully; current system time: %s'] = 'System time was reset successfully; current system time: %s';
catalog['Systemic risks of credit default swaps. Financial weapons of mass destruction.'] = 'Systemic risks of credit default swaps. Financial weapons of mass destruction.';
catalog['Systemic thinking about cancer'] = 'Systemic thinking about cancer';
catalog['Systems Check'] = 'Systems Check';
catalog['Systems and rate problems 2'] = 'Systeme und Zuwachsraten-Probleme 2';
catalog['Systems and rate problems 3'] = 'Systeme und Zuwachsraten-Probleme 3';
catalog['Systems and rate problems'] = 'Systeme und Zuwachsraten-Probleme';
catalog['Systems of Three Variables 2'] = 'Gleichungssysteme mit 3 Variablen 2';
catalog['Systems of Three Variables'] = 'Gleichungssysteme mit 3 Variablen';
catalog['Systems of equation to realize you are getting ripped off'] = 'Gleichungssystem um zu realisieren, dass man \u00fcbernommen wird';
catalog['Systems of equations and inequalities'] = 'Systeme von Gleichungen und Ungleichungen';
catalog['Systems of equations with elimination'] = 'Gleichungssystem mit Entfernung einer Unbekannten';
catalog['Systems of equations with simple elimination'] = 'Glerichungssysteme mit einfacher Elimination';
catalog['Systems of equations with substitution'] = 'Gleichungssysteme mit Ersetzung';
catalog['Systems of equations without a solution'] = 'Gleichungssysteme ohne L\u00f6sung';
catalog['Systems of equations word problems'] = 'Textaufgaben zu Gleichungssystemen';
catalog['Systems of equations'] = 'Gleichungssysteme';
catalog['Systems of exchange and trade'] = 'Systems of exchange and trade';
catalog['Systems of inequalities'] = 'Systeme von Ungleichungen';
catalog['Systems of nonlinear equations 1'] = 'Nichtlineare Gleichungssysteme 1';
catalog['Systems of nonlinear equations 2'] = 'Nichtlineare Gleichungssysteme 2';
catalog['Systems of nonlinear equations 3'] = 'Nichtlineare Gleichungssysteme 3';
catalog['Systems of nonlinear equations'] = 'Nichtlineare Gleichungssysteme';
catalog['Systems of three variables 2'] = 'Gleichungssysteme mit 3 Variablen 2';
catalog['Systems of three variables'] = 'Gleichungssysteme mit 3 Variablen';
catalog['Systems with elimination practice'] = 'Gleichungssysteme l\u00f6sen mit Elimination - \u00dcbung';
catalog['Systems with three variables'] = 'Gleichungssysteme mit drei Variablen';
catalog['Systems word problems'] = 'Gleichungssysteme f\u00fcr Textaufgaben';
catalog['T-Statistic Confidence Interval (for small sample sizes)'] = 'T-Test Konfidenzintervall (f\u00fcr kleine Stichprobengr\u00f6\u00dfen)';
catalog['T-statistic confidence interval'] = 'T-Test Konfidenzintervall';
catalog['T.A. McCann - Founder and CEO of Gist'] = 'T.a. McCann - Gr\u00fcnder und CEO von Gist';
catalog['T.A. McCann - Translating from ideas to execution'] = 'T.A. McCann - Translating from ideas to execution';
catalog['T.A. McCann, Founder and CEO of Gist, gives an overview of the company he founded and advocates planning ahead and deciding what you want to achieve. T.A. also describes the construct he uses to scrutinize his ideas.&nbsp;'] = 'T.A. McCann, Founder and CEO of Gist, gives an overview of the company he founded and advocates planning ahead and deciding what you want to achieve. T.A. also describes the construct he uses to scrutinize his ideas.&nbsp;';
catalog['T.A. McCann, Founder and CEO of Gist, talks about his entrepreneurial journey, including how he joined the America&rsquo;s Cup sailing team. T.A. discusses how entrepreneurs need to show initiative and chart their own course, advising other founders to always ask questions and make progress.&nbsp;'] = 'T.A. McCann, Founder and CEO of Gist, talks about his entrepreneurial journey, including how he joined the America&rsquo;s Cup sailing team. T.A. discusses how entrepreneurs need to show initiative and chart their own course, advising other founders to always ask questions and make progress.&nbsp;';
catalog['T.A. McCann, Founder and CEO of Gist, talks about his entrepreneurial journey, including how he joined the America\u2019s Cup sailing team. T.A. discusses how entrepreneurs need to show initiative and chart their own course, advising other founders to always ask questions and make progress.'] = 'T.A. McCann, Founder and CEO of Gist, talks about his entrepreneurial journey, including how he joined the America\u2019s Cup sailing team. T.A. discusses how entrepreneurs need to show initiative and chart their own course, advising other founders to always ask questions and make progress.';
catalog['TB and HIV'] = 'TB and HIV';
catalog['TB epidemiology'] = 'TB epidemiology';
catalog['TB pathogenesis'] = 'TB pathogenesis';
catalog['TED\u2014The History of Everything'] = 'TED\u2014The History of Everything';
catalog['TEDxSanJoseCA - Salman Khan - (Sequel to talk at TED)'] = 'TEDxSanJoseCA - Salman Khan - (Fortsetzung von "Talk at TED")';
catalog['THIS IS ISA GENZKEN | MoMA'] = 'THIS IS ISA GENZKEN | MoMA';
catalog['TODAY Show: Tech companies changing face of education'] = 'HEUTE Show: Technologie Unternehmen ver\u00e4ndern das Gesicht der Bildung';
catalog['Table dimensions from perimeter and area'] = 'Tabellenabmessungen von Umfang und Fl\u00e4che';
catalog['Taddeo Zuccaro\'s artistic training: drawings by Federico Zuccaro'] = 'Taddeo Zuccaro\'s artistic training: drawings by Federico Zuccaro';
catalog['Take a close look at how some friendly competition for Hemoglobin allows the body to more efficiently move oxygen and carbon Dioxide around.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Werfen Sie einen genauen Blick darauf, wie ein freundlicher Wettbewerb um H\u00e4moglobin es dem K\u00f6rper erm\u00f6glicht, Sauerstoff und Kohlendioxid effizienter zu bewegen.  Rishi ist Arzt f\u00fcr p\u00e4diatrische Infektionskrankheiten und arbeitet an der Khan Academy.';
catalog['Take a closer look at the heart, explore some of its interesting features and get to know the three layers that make up the heart.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Take a closer look at the heart, explore some of its interesting features and get to know the three layers that make up the heart.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Take a comical look at the Big Bang through the eyes of these historic scientists.<br>'] = 'Take a comical look at the Big Bang through the eyes of these historic scientists.<br>';
catalog['Take a glimpse into your lungs to understand what happens when you have an asthma attack.  \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Take a glimpse into your lungs to understand what happens when you have an asthma attack.  \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Take a look at the heart in cross section, looking down at it from the top!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Take a look at the heart in cross section, looking down at it from the top!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Take an expedition with us to investigate the amazing diversity of life on this planet. Learn what biodiversity is, why it is important, where it is found, how it comes into existence, how you study it, why it is threatened, and how it can be protected.'] = 'Take an expedition with us to investigate the amazing diversity of life on this planet. Learn what biodiversity is, why it is important, where it is found, how it comes into existence, how you study it, why it is threatened, and how it can be protected.';
catalog['Take apart'] = 'Auseinandernehmen';
catalog['Take the online course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art: 1945-1989</a> to find out what happens next or experiment with Abstract Expressionist painting techniques in the online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar painting</a>.&nbsp;'] = 'Take the online course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art: 1945-1989</a> to find out what happens next or experiment with Abstract Expressionist painting techniques in the online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar painting</a>.&nbsp;';
catalog['Take time with Ad Reinhardt\'s black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.'] = 'Take time with Ad Reinhardt\'s black canvases and discover the rewards of contemplation. To learn more and create your own works, take our online course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.';
catalog['Takeaways from Benjamin Franklin\'s life'] = 'Takeaways from Benjamin Franklin\'s life';
catalog['Taking a percentage example'] = 'Prozents\u00e4tze von etwas - Beispiel';
catalog['Taking a percentage of a number.'] = 'Prozent von einer Zahl.';
catalog['Taking a shot at estimating the number of detectable civilizations'] = 'Taking a shot at estimating the number of detectable civilizations';
catalog['Taking derivatives and integrals of strangely defined functions'] = 'Taking derivatives and integrals of strangely defined functions';
catalog['Taking derivatives'] = 'Ableitungen bilden';
catalog['Taking negative externalities into account when thinking about the optimal equilibrium price and quantity'] = 'Taking negative externalities into account when thinking about the optimal equilibrium price and quantity';
catalog['Taking percentages'] = 'Prozent von etwas';
catalog['Taking the cross product to calculate the surface differential in terms of the parameters'] = 'Taking the cross product to calculate the surface differential in terms of the parameters';
catalog['Taking the derivative of ln x'] = 'Die Ableitung von ln x';
catalog['Taking the revolution around something other than one of the axes.'] = 'Taking the revolution around something other than one of the axes.';
catalog['Taking the transpose of the product of two matrices'] = 'Taking the transpose of the product of two matrices';
catalog['Talk and Q&amp;A (with Raj Mithai)'] = 'Vortrag bei "Q&amp;A" (mit Raj Mithai)';
catalog['Talking bird solves systems with substitution'] = 'Der sprechende Vogel l\u00f6st das Gleichungssystem durch Substitution';
catalog['Talks and interviews'] = 'Gespr\u00e4che und Interviews';
catalog['Tangent line hyperbola relationship (very optional)'] = 'Tangent line hyperbola relationship (very optional)';
catalog['Tangent slope as limiting value of secant slope example 1'] = 'Steigung der Tangente als Limes der Steigung der Sekante - Beispiel 1';
catalog['Tangent slope as limiting value of secant slope example 2'] = 'Steigung der Tangente als Limes der Steigung der Sekante - Beispiel 2';
catalog['Tangent slope as limiting value of secant slope example 3'] = 'Steigung der Tangente als Limes der Steigung der Sekante - Beispiel 3';
catalog['Tangent slope is limiting value of secant slope'] = 'Tangent slope is limiting value of secant slope';
catalog['Taste (gustation) and smell (olfaction) - Passage 1'] = 'Taste (gustation) and smell (olfaction) - Passage 1';
catalog['Taste (gustation) and smell (olfaction) - Passage 2'] = 'Taste (gustation) and smell (olfaction) - Passage 2';
catalog['Taste (gustation) and smell (olfaction)'] = 'Taste (gustation) and smell (olfaction)';
catalog['Tate Britain director Penelope Curtis introduces the new Tate Britain, with a tour of its architectural highlights.'] = 'Tate Britain director Penelope Curtis introduces the new Tate Britain, with a tour of its architectural highlights.';
catalog['Tate holds the national collection of British art from 1500 to the present day and international modern and contemporary art. Through imaginative education and interpretation programmes we aim to promote public understanding and enjoyment of art. Here you can explore the subject and learn from artists, curators, critics and writers.'] = 'Tate holds the national collection of British art from 1500 to the present day and international modern and contemporary art. Through imaginative education and interpretation programmes we aim to promote public understanding and enjoyment of art. Here you can explore the subject and learn from artists, curators, critics and writers.';
catalog['Tate'] = 'Tate';
catalog['TateShots: Meet 500 Years of British Art'] = 'TateShots: Meet 500 Years of British Art';
catalog['TateShots: artists meet the new Tate Britain'] = 'TateShots: artists meet the new Tate Britain';
catalog['Tau versus pi'] = 'Tau gegen pi';
catalog['Tax brackets and progressive taxation'] = 'Tax brackets and progressive taxation';
catalog['Tax deductions introduction'] = 'Tax deductions introduction';
catalog['Tax lever of fiscal policy'] = 'Tax lever of fiscal policy';
catalog['Taxation and dead weight loss'] = 'Taxation and dead weight loss';
catalog['Taxes and perfectly elastic demand'] = 'Taxes and perfectly elastic demand';
catalog['Taxes and perfectly inelastic demand'] = 'Taxes and perfectly inelastic demand';
catalog['Taxes for factoring in negative externalities'] = 'Taxes for factoring in negative externalities';
catalog['Taxes'] = 'Steuern';
catalog['Taxonomy and the tree of life'] = 'Taxonomy und der "Tree of life"';
catalog['Taxonomy: Life\'s filing system'] = 'Taxonomie: Ordnungssystem des Lebens';
catalog['Taylor Series approximation of sin(x)'] = 'Taylor Series approximation of sin(x)';
catalog['Taylor Series at 0 (Maclaurin) for e to the x'] = 'Taylor-Reihe bei 0 (Maclaurin) f\u00fcr e hoch x';
catalog['Taylor Series for cos x at x=0'] = 'Taylor Series for cos x at x=0';
catalog['Taylor polynomials'] = 'Taylor Polynome';
catalog['Taylor series approximations'] = 'Taylor series approximations';
catalog['Taylor series at 0 (Maclaurin) for e to the x'] = 'Taylor-Reihe bei 0 (Maclaurin) f\u00fcr e hoch x';
catalog['Tea, Taxes, and the American Revolution'] = 'Tee, Steuern und die amerikanische Revolution';
catalog['Teach your program to make decisions!'] = 'Bring deinem Programm bei Entscheidungen zu treffen!';
catalog['Teacher role: intro and big ideas'] = 'Teacher role: intro and big ideas';
catalog['Teaching in a blended learning environment \u2013 rethinking the role of the teacher'] = 'Teaching in a blended learning environment \u2013 rethinking the role of the teacher';
catalog['Technology in World War I'] = 'Technology in World War I';
catalog['Teen numbers 1'] = 'Zahlen, die auf -zehn enden.';
catalog['Teen numbers 2'] = 'Zahlen, die auf -zehn enden 2';
catalog['Teens as sums with 10'] = 'Zehnerzahlen als Summen mit 10';
catalog['Tell and write time in hours and half-hours using analog and digital clocks.'] = 'Tell and write time in hours and half-hours using analog and digital clocks.';
catalog['Tell time 1'] = 'Tell time 1';
catalog['Telling time 0.5'] = 'Die Zeit angeben 0.5';
catalog['Telling time 2'] = 'Zeit bestimmen 2';
catalog['Telling time exercise example 1'] = 'Wie sp\u00e4t ist es - Beispiel 1';
catalog['Telling time exercise example 2'] = 'Wie sp\u00e4t ist es - Beispiel 2';
catalog['Telling time word problems'] = 'Telling time word problems';
catalog['Telling time'] = 'Die Uhrzeit bestimmen';
catalog['Tempera paint'] = 'Tempera paint';
catalog['Temperament, heredity, and genes'] = 'Temperament, heredity, and genes';
catalog['Temperature & Atmosphere'] = 'Temperatur & Atmosph\u00e4re';
catalog['Temple of Portunus (formerly known as, Fortuna Virilis), travertine, tufa, and stucco,\nc. 120-80 B.C.E., Rome \n\nA smarthistory.org video by Beth Harris and Steven Zucker.'] = 'Temple of Portunus (formerly known as, Fortuna Virilis), travertine, tufa, and stucco,\nc. 120-80 B.C.E., Rome \n\nA smarthistory.org video by Beth Harris and Steven Zucker.';
catalog['Tens and ones'] = 'Tens and ones';
catalog['Tension in an accelerating system and pie in the face'] = 'Tension in an accelerating system and pie in the face';
catalog['Tension'] = 'Tension';
catalog['Term and whole life insurance policies 2'] = 'Term and whole life insurance policies 2';
catalog['Term and whole life insurance policies'] = 'Term and whole life insurance policies';
catalog['Term life insurance and death probability'] = 'Term life insurance and death probability';
catalog['Terms coefficients and exponents in a polynomial'] = 'Die Begriffe Koeffizienten und Exponenten in einem Polynom';
catalog['Test if you decrypted the secret code'] = 'Test if you decrypted the secret code';
catalog['Test if you successfully decrypted clue 1, 2 & 3'] = '\u00dcberpr\u00fcfe ob du Hinweis 1,2, und 3 richtig entschl\u00fcsselt hast';
catalog['Test prep'] = 'Pr\u00fcfungsvorbereitung';
catalog['Test you knowledge!'] = 'Test you knowledge!';
catalog['Test your Unit 3 knowledge and skills! Investigate how new points of view pave the way for progress, and take the Unit 3 quiz and glossary challenge.'] = 'Test your Unit 3 knowledge and skills! Investigate how new points of view pave the way for progress, and take the Unit 3 quiz and glossary challenge.';
catalog['Test your Unit 4 knowledge and skills! Investigate when and why people accept a theory, and take the Unit 4 quiz and glossary challenge.'] = 'Test your Unit 4 knowledge and skills! Investigate when and why people accept a theory, and take the Unit 4 quiz and glossary challenge.';
catalog['Test your comprehension of the causes, dynamics and aftermath of World War I (as covered in the tutorials in this topic) by taking this quiz.'] = 'Test your comprehension of the causes, dynamics and aftermath of World War I (as covered in the tutorials in this topic) by taking this quiz.';
catalog['Test your comprehension of the different mediums that artists use.'] = 'Test your comprehension of the different mediums that artists use.';
catalog['Test your comprehension of the political and religious issues of the Reformation and Counter-Reformation.'] = 'Test your comprehension of the political and religious issues of the Reformation and Counter-Reformation.';
catalog['Test your glassmaking knowledge'] = 'Test your glassmaking knowledge';
catalog['Test your knowledge about this object.'] = 'Test your knowledge about this object.';
catalog['Test your knowledge and skills! Investigate how and why our reaction and response to disease has changed, and then take on the quiz and glossary challenge.'] = 'Test your knowledge and skills! Investigate how and why our reaction and response to disease has changed, and then take on the quiz and glossary challenge.';
catalog['Test your knowledge and skills! Investigate how farming was an improvement over foraging, and then take on the quiz and glossary challenge.'] = 'Test your knowledge and skills! Investigate how farming was an improvement over foraging, and then take on the quiz and glossary challenge.';
catalog['Test your knowledge and skills! Investigate how language makes humans different, and then take on the quiz and glossary challenge.'] = 'Test your knowledge and skills! Investigate how language makes humans different, and then take on the quiz and glossary challenge.';
catalog['Test your knowledge and skills! Investigate to what extent the Modern Revolution has been a positive or negative force, take on the quiz and glossary challenge, and submit feedback to help improve the Big History Project.'] = 'Test your knowledge and skills! Investigate to what extent the Modern Revolution has been a positive or negative force, take on the quiz and glossary challenge, and submit feedback to help improve the Big History Project.';
catalog['Test your knowledge of French Romanticism'] = 'Test your knowledge of French Romanticism';
catalog['Test your knowledge of German Romanticism.'] = 'Test your knowledge of German Romanticism.';
catalog['Test your knowledge of Pre-Raphaelite Art!'] = 'Test your knowledge of Pre-Raphaelite Art!';
catalog['Test your knowledge of biodiversity distribution patterns'] = 'Test your knowledge of biodiversity distribution patterns';
catalog['Test your knowledge of biodiversity fieldwork'] = 'Test your knowledge of biodiversity fieldwork';
catalog['Test your knowledge of biodiversity hotspots'] = 'Test your knowledge of biodiversity hotspots';
catalog['Test your knowledge of ecosystem function'] = 'Test your knowledge of ecosystem function';
catalog['Test your knowledge of ecosystem services'] = 'Test your knowledge of ecosystem services';
catalog['Test your knowledge of fifth grade skills, part deux.'] = 'Test your knowledge of fifth grade skills, part deux.';
catalog['Test your knowledge of the High Renaissance in Florence and Rome.'] = 'Test your knowledge of the High Renaissance in Florence and Rome.';
catalog['Test your knowledge of the Jade Cong.'] = 'Test your knowledge of the Jade Cong.';
catalog['Test your knowledge of the arts of the Islamic world!'] = 'Test your knowledge of the arts of the Islamic world!';
catalog['Test your knowledge'] = 'Test your knowledge';
catalog['Test your knowledge.'] = 'Test your knowledge.';
catalog['Test your understanding of random sampling (7.SP.A.2)'] = 'Test your understanding of random sampling (7.SP.A.2)';
catalog['Test your understanding&nbsp;of the terms used in section 5 - Life.'] = 'Test your understanding&nbsp;of the terms used in section 5 - Life.';
catalog['Testing Solutions for a System of Inequalities'] = 'Wir pr\u00fcfen L\u00f6sungen f\u00fcr ein System von Ungleichungen';
catalog['Testing a solution for a system of equations'] = 'Testen von eine L\u00f6sung f\u00fcr ein System von Gleichungen';
catalog['Testing congruence by transformations example'] = 'Testing congruence by transformations example';
catalog['Testing critical points for local extrema'] = 'Testing critical points for local extrema';
catalog['Testing for the flu'] = 'Testing for the flu';
catalog['Testing if a relationship is a function'] = 'Testen, ob eine Beziehung eine Funktion ist';
catalog['Testing out a cell which holds the metals at a constant distance. We add it to salt water and then check the deflection. Can this be used as a standard unit?'] = 'Testing out a cell which holds the metals at a constant distance. We add it to salt water and then check the deflection. Can this be used as a standard unit?';
catalog['Testing similarity through transformations'] = 'Testing similarity through transformations';
catalog['Testing solutions for a system of inequalities'] = 'Wir pr\u00fcfen L\u00f6sungen f\u00fcr ein System von Ungleichungen';
catalog['Testing the direction of force when the current carrying wire is above vs. below a compass. What does this tell us?'] = 'Testing the direction of force when the current carrying wire is above vs. below a compass. What does this tell us?';
catalog['Testing your conceptual knowledge of Newton\'s First Law of Motion'] = 'Dein konzeptuelles Wissen \u00fcber das erste newtonsche Gesetz der Bewegung testen';
catalog['Tetrahedral bond angle proof'] = 'Tetrahedral bond angle proof';
catalog['Text and Strings'] = 'Text and Strings';
catalog['Text'] = 'Text';
catalog['Th\u00e9odore G\u00e9ricault, Raft of the Medusa, oil on canvas, 193 x 282 inches, 1818-19 (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Th\u00e9odore G\u00e9ricault, Raft of the Medusa, oil on canvas, 193 x 282 inches, 1818-19 (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Thank you for installing KA Lite!'] = 'Thank you for installing KA Lite!';
catalog['Thank you to all the people I know whose math classes do not require such pastimes!More videos/info: http://vihart.com/doodlingDoodling Snakes + Graphs: ttp://www.youtube.com/watch?v=heKK95DAKmsDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYhttp://vihart.com'] = 'Thank you to all the people I know whose math classes do not require such pastimes!More videos/info: http://vihart.com/doodlingDoodling Snakes + Graphs: ttp://www.youtube.com/watch?v=heKK95DAKmsDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfYhttp://vihart.com';
catalog['Thanks for signing up!'] = 'Thanks for signing up!';
catalog['Thanks for stopping by; when you come back, don'] = 'Thanks for stopping by; when you come back, don';
catalog['Thanks for using our site!'] = 'Thanks for using our site!';
catalog['Thanks to my bro for the music! He\'s at christopherhart2010@gmail.com\n\nThanks to my other bro for hand dancin\' and throwing money at me, and special thanks to my mamma and grandma for their guest appearances.'] = 'Thanks to my bro for the music! He\'s at christopherhart2010@gmail.com\n\nThanks to my other bro for hand dancin\' and throwing money at me, and special thanks to my mamma and grandma for their guest appearances.';
catalog['Thanksgiving math'] = 'Erntedankfest Mathe';
catalog['Thanksgiving turduckenen-duckenen'] = 'Thanksgiving turduckenen-duckenen';
catalog['The "Palace" and Grave Circle A, Mycenae, c. 1600-1100 B.C.E.'] = 'The "Palace" and Grave Circle A, Mycenae, c. 1600-1100 B.C.E.';
catalog['The %(site_name)s team'] = 'The %(site_name)s team';
catalog['The &#39;Hour of Code&#39; is a nationwide initiative by <a href="http://csedweek.org">Computer Science Education Week</a> and <a href="http://www.code.org">Code.org</a> to introduce millions of students to one hour of computer science and computer programming.<br />\n'] = 'The &#39;Hour of Code&#39; is a nationwide initiative by <a href="http://csedweek.org">Computer Science Education Week</a> and <a href="http://www.code.org">Code.org</a> to introduce millions of students to one hour of computer science and computer programming.<br />\n';
catalog['The 17th Century is the era of the Baroque style, characterized by energy, drama, and movement. The Church in Rome needed art that spoke to its resurgent power even as the conflict between Protestant and Catholics continued. A new realism\u2014with a special sensitivity to light\u2014also pervades the art of this period across Europe and can be seen especially in the work of Caravaggio, Velazquez, Ruysdael, and Vermeer. But where in Catholic countries, the Church remained a major patron of religious images, in the Protestant Dutch Republic, artists painted an expanded range subjects like still-lifes, landscapes and genre paintings for the middle class.'] = 'The 17th Century is the era of the Baroque style, characterized by energy, drama, and movement. The Church in Rome needed art that spoke to its resurgent power even as the conflict between Protestant and Catholics continued. A new realism\u2014with a special sensitivity to light\u2014also pervades the art of this period across Europe and can be seen especially in the work of Caravaggio, Velazquez, Ruysdael, and Vermeer. But where in Catholic countries, the Church remained a major patron of religious images, in the Protestant Dutch Republic, artists painted an expanded range subjects like still-lifes, landscapes and genre paintings for the middle class.';
catalog['The 1880s saw a shift away from the modern-life focus of Impressionism, as artists turned toward the interior self, to dreams, and myth. There was a sense that Impressionism had been too tied up with the materialism of middle-class culture. In some ways, van Gogh and Gauguin can also be seen as Symbolists. Many Symbolist belonged to groups of artists who broke away (or seceded) from the art establishment in their respective countries, to hold their own exhibitions. For example, Klimt belonged to the Vienna Secession (he was its first president), Khnopff to a similar group in Belgium called Lex XX (The Twenty), and Stuck co-founded the Munich Secession.'] = 'The 1880s saw a shift away from the modern-life focus of Impressionism, as artists turned toward the interior self, to dreams, and myth. There was a sense that Impressionism had been too tied up with the materialism of middle-class culture. In some ways, van Gogh and Gauguin can also be seen as Symbolists. Many Symbolist belonged to groups of artists who broke away (or seceded) from the art establishment in their respective countries, to hold their own exhibitions. For example, Klimt belonged to the Vienna Secession (he was its first president), Khnopff to a similar group in Belgium called Lex XX (The Twenty), and Stuck co-founded the Munich Secession.';
catalog['The AMC 10 is part of the series of contests administered by the MAA American Mathematics Competitions that determines the United States team in the International Math Olympiad. The AMC 10 is a 25 question, 75 minute multiple choice test for students in 10th grade or below. Two versions of the AMC 10 are offered each year.'] = 'Der AMC-10 ist Teil einer Reihe von Wettbewerben, die von der MAA American Mathematik-Wettbewerbe, die das USA-Team in der internationalen Mathematik-Olympiade ermittelt verwaltet. Der AMC-10 richtet sich an Sch\u00fcler bis zur 10. Klasse und umfasst 25 multiple-choice Fragen, die innerhalb von 75 Minuten gel\u00f6st werden m\u00fcssen. Zwei Versionen des AMC 10 werden jedes Jahr angeboten.';
catalog['The Agricultural Revolution'] = 'Die landwirtschaftliche Revolution';
catalog['The Asian Art Museum is one of the largest museums in the Western world devoted exclusively to Asian art and culture. Home to more than 18,000 works of art from over 40 Asian countries, we strive to be a catalyst for discovery, dialogue, and inspiration. With Asia as our lens and art as our cornerstone, we spark connections across cultures and through time, igniting curiosity, conversation, and creativity.'] = 'The Asian Art Museum is one of the largest museums in the Western world devoted exclusively to Asian art and culture. Home to more than 18,000 works of art from over 40 Asian countries, we strive to be a catalyst for discovery, dialogue, and inspiration. With Asia as our lens and art as our cornerstone, we spark connections across cultures and through time, igniting curiosity, conversation, and creativity.';
catalog['The Atlantic Slave Trade'] = 'Der atlantische Sklavenhandel';
catalog['The BP Walk through British Art offers a circuit of Tate Britain&#39;s unparalleled collection from 1540 to today. The works have been arranged to ensure that the collection&#39;s full historical range is always on show. Here, four contemporary artists share their perspectives on this journey through British art.'] = 'The BP Walk through British Art offers a circuit of Tate Britain&#39;s unparalleled collection from 1540 to today. The works have been arranged to ensure that the collection&#39;s full historical range is always on show. Here, four contemporary artists share their perspectives on this journey through British art.';
catalog['The BP Walk through British Art offers a circuit of Tate Britain\u2019s unparalleled collection from its beginnings to its end. This \u2018walk through time\u2019 has been arranged to ensure that the collection\u2019s full historical range, from 1545 to the present, is always on show. There are no designated themes or movements; instead, you can see a range of art made at any one moment in an open conversational manner.\n\nWalk through time with Tate\'s curators as they introduce the new displays at Tate Britain.'] = 'The BP Walk through British Art offers a circuit of Tate Britain\u2019s unparalleled collection from its beginnings to its end. This \u2018walk through time\u2019 has been arranged to ensure that the collection\u2019s full historical range, from 1545 to the present, is always on show. There are no designated themes or movements; instead, you can see a range of art made at any one moment in an open conversational manner.\n\nWalk through time with Tate\'s curators as they introduce the new displays at Tate Britain.';
catalog['The Babylonian mind'] = 'The Babylonian mind';
catalog['The Big Bang is where big history begins. Everything that\'s ever existed, including you, traces back to this unimaginably profound event.'] = 'The Big Bang is where big history begins. Everything that\'s ever existed, including you, traces back to this unimaginably profound event.';
catalog['The Big History'] = 'The Big History';
catalog['The Brookings Institution'] = 'The Brookings Institution';
catalog['The Caesar cipher'] = 'Caesar-Verschl\u00fcsselung';
catalog['The Calculus BC AP exam is a super set of the AB exam.  It covers everything in AB as well as some of the more advanced topics in integration, sequences and function approximation.  This tutorial is great practice for anyone looking to test their calculus mettle!'] = 'The Calculus BC AP exam is a super set of the AB exam.  It covers everything in AB as well as some of the more advanced topics in integration, sequences and function approximation.  This tutorial is great practice for anyone looking to test their calculus mettle!';
catalog['The California Academy of Sciences is a renowned scientific and educational institution dedicated to exploring and explaining the natural world and addressing the challenge of sustainability.'] = 'The California Academy of Sciences is a renowned scientific and educational institution dedicated to exploring and explaining the natural world and addressing the challenge of sustainability.';
catalog['The Calvin Cycle or the light-independent (dark) reactions of photosythesis'] = 'Der Calvin-Zyklus oder die lichtunabh\u00e4ngige Reaktion (Dunkelreaktion) der Photosynthese';
catalog['The Case for Blended Learning'] = 'The Case for Blended Learning';
catalog['The Chinese Buddhist figures seen in the galleries at the Asian Art Museum were originally placed in temples and monastic buildings. This video explores Wutaishan, an area with one of the heaviest concentration of Buddhist temples in China.'] = 'The Chinese Buddhist figures seen in the galleries at the Asian Art Museum were originally placed in temples and monastic buildings. This video explores Wutaishan, an area with one of the heaviest concentration of Buddhist temples in China.';
catalog['The Classical Orders (Doric, Ionic and Corinthian)\n\nA conversation with Dr. Steven Zucker & Dr. Beth Harris'] = 'Die klassischen S\u00e4ulenordnungen (dorische, ionische und korinthische)\n\nEin Gespr\u00e4ch mit Dr. Steven Zucker & Dr. Beth Harris';
catalog['The Cold War'] = 'Der Kalte Krieg';
catalog['The Colossus of Constantine'] = 'The Colossus of Constantine';
catalog['The Colossus of Constantine, c. 312-15, Palazzo dei Conservatori, Musei Capitolini, Rome\n\nA conversation between Dr. Beth Harris and Dr. Steven Zucker in front of the Colossus of Constantine.'] = 'The Colossus of Constantine, c. 312-15, Palazzo dei Conservatori, Musei Capitolini, Rome\n\nA conversation between Dr. Beth Harris and Dr. Steven Zucker in front of the Colossus of Constantine.';
catalog['The Columbian Exchange'] = 'Der Columbian Exchange';
catalog['The Crusades - Pilgrimage or Holy War?'] = 'Die Kreuzz\u00fcge - Pilgerreise oder Heiliger Krieg?';
catalog['The Crusades'] = 'The Crusades';
catalog['The Dark Ages...how dark were they, really?'] = 'Das dunkle Mittelalter... wie dunkel war es wirklich ?';
catalog['The David Vases'] = 'The David Vases';
catalog['The Definition of Blended Learning'] = 'The Definition of Blended Learning';
catalog['The Distributive Property 2'] = 'Das Distributivgesetz 2';
catalog['The Distributive Property'] = 'Das Distributivgesetz';
catalog['The Early Renaissance in Florence'] = 'The Early Renaissance in Florence';
catalog['The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star.  Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know).  Don\'t feel small.  We find it liberating.  Your everyday human stresses are nothing compared to this enormity that we are a part of.  Enjoy the fact that we get to be part of this vastness!'] = 'Die Erde ist riesig, aber immer noch winzig im Vergleich zur Sonne (die ist super riesig). Aber die Sonne ist winzig im Vergleich zum Sonnensystem. und das wiederum ist winzig im Vergleich zum Abstand zum n\u00e4chsten Stern.  Ach ja, hatten wir schon erw\u00e4hnt, das es mehr als 100 Milliarden Sterne in unserer Galaxie gibt (die etwa 100.000 Lichtjahre im Durchmesser misst) und das sie eine von Hunderten von Milliarden Galaxien des wahrnehmbaren Universums ist (welches, soweit wir wissen, unendlcih gro\u00df sein kann).  F\u00fchle dich nicht klein.  Es ist befreiend.  Deine t\u00e4glichen menschlichen Belastungen sind nichts im Vergleich zu dieser ungeheuren Gr\u00f6\u00dfe, von der wir ein Teil sind.  Genie\u00dfe die Tatsache, dass wir einen Teil dieses riesigen Raumes sind!';
catalog['The Earth\u2019s atmosphere keeps changing, creating an endless cycle of warming, cooling, and recovery.<br>'] = 'The Earth\u2019s atmosphere keeps changing, creating an endless cycle of warming, cooling, and recovery.<br>';
catalog['The Enigma encryption machine'] = 'Die Enigma Verschl\u00fcsselungsmaschine';
catalog['The Enlightenment set the stage for this era. Scientific inquiry and empirical evidence were promoted in order to reveal and understand the physical world. Belief in knowledge and progress led to revolutions and a new emphasis on human rights. Subsequently, Romanticism offered a critique of Enlightenment principles and industrialization. Philosophies of Marx and Darwin impacted worldviews, followed by the work of Freud and Einstein. Later, postmodern theory influenced art making and the study of art. In addition, artists were affected by exposure to diverse cultures, largely as a result of colonialism. The advent of mass production supplied artists with ready images, which they were quick to appropriate.\n\nBy permission, \u00a9 2013 The College Board'] = 'The Enlightenment set the stage for this era. Scientific inquiry and empirical evidence were promoted in order to reveal and understand the physical world. Belief in knowledge and progress led to revolutions and a new emphasis on human rights. Subsequently, Romanticism offered a critique of Enlightenment principles and industrialization. Philosophies of Marx and Darwin impacted worldviews, followed by the work of Freud and Einstein. Later, postmodern theory influenced art making and the study of art. In addition, artists were affected by exposure to diverse cultures, largely as a result of colonialism. The advent of mass production supplied artists with ready images, which they were quick to appropriate.\n\nBy permission, \u00a9 2013 The College Board';
catalog['The Exploratorium is a 21st-century learning laboratory and museum based in San Francisco. For more than forty years, we\u2019ve built creative, thought-provoking exhibits, tools, programs, and experiences that ignite curiosity, encourage exploration, and lead to profound learning. The science "snacks" on this website are fun, hands-on activities developed and thoroughly tested by the Exploratorium Teacher Institute. Dive in and discover what we\'re all about!'] = 'The Exploratorium is a 21st-century learning laboratory and museum based in San Francisco. For more than forty years, we\u2019ve built creative, thought-provoking exhibits, tools, programs, and experiences that ignite curiosity, encourage exploration, and lead to profound learning. The science "snacks" on this website are fun, hands-on activities developed and thoroughly tested by the Exploratorium Teacher Institute. Dive in and discover what we\'re all about!';
catalog['The Flex Model'] = 'The Flex Model';
catalog['The Flipped Classroom Model'] = 'The Flipped Classroom Model';
catalog['The Forces on an Airplane'] = 'Die Kr\u00e4fte an einem Flugzeug';
catalog['The French Revolution'] = 'Die franz\u00f6sische Revolution';
catalog['The Gates Notes:  Insights into students\' progress'] = '"The Gates Notes": Einblicke den Fortschritt der Sch\u00fcler';
catalog['The Gates Notes: Sal on Khan Academy'] = '"The Gates Notes": Sal \u00fcber die Khan Academy';
catalog['The Gauss Christmath Special'] = 'The Gauss Christmath Special';
catalog['The Getty and the Institut National du Patrimoine of Tunisia train conservation technicians to clean, monitor, and maintain mosaics so that they can be seen and studied in their original settings. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>'] = 'The Getty and the Institut National du Patrimoine of Tunisia train conservation technicians to clean, monitor, and maintain mosaics so that they can be seen and studied in their original settings. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>';
catalog['The Getty drawings department oversees a collection strong in old master works and and drawings from the 1800s and 1900s, including a Degas sketchbook. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>'] = 'The Getty drawings department oversees a collection strong in old master works and and drawings from the 1800s and 1900s, including a Degas sketchbook. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>';
catalog['The Getty photography&nbsp;collection is distinguished among collections worldwide by its encyclopedic scope, which ranges from the very beginnings of photography in the late 1830s up to the present day. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'The Getty photography&nbsp;collection is distinguished among collections worldwide by its encyclopedic scope, which ranges from the very beginnings of photography in the late 1830s up to the present day. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['The Gram-Schmidt process'] = 'The Gram-Schmidt process';
catalog['The Grand Canal in Venice'] = 'The Grand Canal in Venice';
catalog['The Great War begins'] = 'Der Beginn des Gro\u00dfen Krieges';
catalog['The Greek government incurred debt beyond its means but didn\'t have control over its own currency to inflate away its obligations.  From austerity, to a bailout, to leaving the Eurozone, none of the options looked great.\n\nIn this tutorial, Sal walks through the situation Greece was in and its options (these videos were made as the crisis was unfolding).'] = 'The Greek government incurred debt beyond its means but didn\'t have control over its own currency to inflate away its obligations.  From austerity, to a bailout, to leaving the Eurozone, none of the options looked great.\n\nIn this tutorial, Sal walks through the situation Greece was in and its options (these videos were made as the crisis was unfolding).';
catalog['The Haitian Revolutions'] = 'Die haitianischen Revolutionen';
catalog['The Harrowing of Hell, c. 1440-70'] = 'The Harrowing of Hell, c. 1440-70';
catalog['The Harrowing of Hell, c. 1440-70, carved painted and gilt alabaster, 58.3 x 31.5 cm (Victoria and Albert Museum)\n\nSpeakers: Dr. Nancy Ross and Dr. Paul Binski'] = 'The Harrowing of Hell, c. 1440-70, carved painted and gilt alabaster, 58.3 x 31.5 cm (Victoria and Albert Museum)\n\nSpeakers: Dr. Nancy Ross and Dr. Paul Binski';
catalog['The High Renaissance in Florence and Rome'] = 'The High Renaissance in Florence and Rome';
catalog['The Hindu temple'] = 'The Hindu temple';
catalog['The International Gothic Style persists into the 15th Century in many courts in Europe including England.'] = 'The International Gothic Style persists into the 15th Century in many courts in Europe including England.';
catalog['The International System of Units used today is based on the metric system.  The United States, however, likes to dance to a different drummer and still uses the old British Imperial System (U.S. customary system) for most of its measuring.  This tutorial will introduce you to both for measuring distance, volume, weight and time.\n\nCommon Core Standard: 4.MD.A.1'] = 'Das heute verwendete Internationale Einheitensystem basiert auf dem metrischen System.  Die Vereinigten Staaten tanzen jedoch gerne aus der Reihe und verwenden noch das alte britische imperiale System (US-\u00fcblichen-System) f\u00fcr die meisten Messung.  Dieses Tutorial bietet zu beiden Systemen eine Einf\u00fchrung zur Messung von Abstand, Volumen, Gewicht und Zeit.\n\nCommon Core Standard: 4.MD.A. 1';
catalog['The Invention of the Battery'] = 'Die Erfindung der Batterie';
catalog['The J. Paul Getty Museum seeks to inspire curiosity about, and enjoyment and understanding of, the visual arts by collecting, conserving, exhibiting and interpreting works of art of outstanding quality and historical importance. To fulfill this mission, the Museum continues to build its collections through purchase and gifts, and develops programs of exhibitions, publications, scholarly research, public education, and the performing arts that engage our diverse local and international audiences. All of these activities are enhanced by the uniquely evocative architectural and garden settings provided by the Museum\'s two renowned venues: the Getty Villa and the Getty Center.'] = 'The J. Paul Getty Museum seeks to inspire curiosity about, and enjoyment and understanding of, the visual arts by collecting, conserving, exhibiting and interpreting works of art of outstanding quality and historical importance. To fulfill this mission, the Museum continues to build its collections through purchase and gifts, and develops programs of exhibitions, publications, scholarly research, public education, and the performing arts that engage our diverse local and international audiences. All of these activities are enhanced by the uniquely evocative architectural and garden settings provided by the Museum\'s two renowned venues: the Getty Villa and the Getty Center.';
catalog['The J. Paul Getty Museum'] = 'Das J. Paul Getty Museum';
catalog['The Lab Rotation Model'] = 'The Lab Rotation Model';
catalog['The Limbourg brothers painted landscapes and portraits with a precision that was unheard of in their time. They gave us the first snowy landscape and one of the greatest books of all time. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>'] = 'The Limbourg brothers painted landscapes and portraits with a precision that was unheard of in their time. They gave us the first snowy landscape and one of the greatest books of all time. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>';
catalog['The Marangoni Effect: How to make a soap propelled boat!'] = 'Der Marangoni-Effekt: Wie man mit Seife Boot antreibt!';
catalog['The Mausoleum of Galla Placidia, 425 C.E., Ravenna, Italy\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'The Mausoleum of Galla Placidia, 425 C.E., Ravenna, Italy\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['The Mausoleum of Galla Placidia, Ravenna'] = 'The Mausoleum of Galla Placidia, Ravenna';
catalog['The Middle East during and after WWI'] = 'The Middle East during and after WWI';
catalog['The Middle East is a center of cultures, religions, and, unfortunately, conflict in our modern world.  This tutorial takes us from a declining Ottoman Empire to the modern Middle East which is still the center of many religions, cultures and conflicts.'] = 'The Middle East is a center of cultures, religions, and, unfortunately, conflict in our modern world.  This tutorial takes us from a declining Ottoman Empire to the modern Middle East which is still the center of many religions, cultures and conflicts.';
catalog['The Mohorovicic Seismic Discontinuity- boundary between crust and mantle (or Moho)'] = 'The Mohorovicic Seismic Discontinuity- boundary between crust and mantle (or Moho)';
catalog['The Museum of Modern Art'] = 'Das Museum of Modern Art';
catalog['The Painting Techniques of Ad Reinhardt'] = 'The Painting Techniques of Ad Reinhardt';
catalog['The Painting Techniques of Barnett Newman'] = 'The Painting Techniques of Barnett Newman';
catalog['The Painting Techniques of Franz Kline'] = 'The Painting Techniques of Franz Kline';
catalog['The Painting Techniques of Jackson Pollock'] = 'The Painting Techniques of Jackson Pollock';
catalog['The Painting Techniques of Mark Rothko'] = 'The Painting Techniques of Mark Rothko';
catalog['The Paleolithic and Neolithic eras of the Stone Age.'] = 'The Paleolithic and Neolithic eras of the Stone Age.';
catalog['The Pantheon, Rome, c. 125 Speakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'The Pantheon, Rome, c. 125 Speakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['The Pergamon Altar, c. 200-150 B.C.E., 35.64 x 33.4 meters, Hellenistic Period (Pergamon Museum, Berlin). Speakers: Dr. Steven Zucker and Dr. Beth Harris'] = 'The Pergamon Altar, c. 200-150 B.C.E., 35.64 x 33.4 meters, Hellenistic Period (Pergamon Museum, Berlin). Speakers: Dr. Steven Zucker and Dr. Beth Harris';
catalog['The Phillips curve: Inflation and unemployment'] = 'The Phillips curve: Inflation and unemployment';
catalog['The Power of the Docs'] = 'Die Macht der Dokumente';
catalog['The Protestant Reformation'] = 'Die Reformation';
catalog['The Pythagorean theorem intro'] = 'Einf\u00fchrung in den Satz des Pythagoras';
catalog['The Pythagorean theorem is one of the most famous ideas in all of mathematics.  This tutorial proves it.  Then proves it again... and again... and again.  More than just satisfying any skepticism of whether the Pythagorean theorem is really true (only one proof would be sufficient for that), it will hopefully open your mind to new and beautiful ways to prove something very powerful.'] = 'Der Satz des Pythagoras ist eine der ber\u00fchmtesten Ideen der Mathematik. Diese Tutorial wird\'s dir beweisen. Und dann wird es noch einen weiteren Beweis liefern... und dann noch einen... und noch einen. Es geht nicht nur darum deine Skepsis zufriedenzustellen (dann w\u00fcrde ein einzelner Nachweis gen\u00fcgen), sondern auch darum, dir neue und sch\u00f6ne Arten zu zeigen, mit denen man etwas so N\u00fctzliches beweisen kann.';
catalog['The Pythagorean theorem is one of the most famous ideas in all of mathematics.  This tutorial proves it.  Then proves it again... and again... and again.  More than just satisfying any skepticism of whether the Pythagorean theorem is really true (only one proof would be sufficient for that), it will hopefully open your mind to new and beautiful ways to prove something very powerful.\n\nCommon Core Standard: 8.G.B.6'] = 'Der Satz des Pythagoras ist eine der ber\u00fchmtesten Ideen der Mathematik. Diese Tutorial wird\'s euch beweisen. Und dann wird es noch einen weiteren Beweis liefern... und dann noch einen... und noch einen. Es geht nicht nur darum eure Skepsis zufriedenzustellen (dann w\u00fcrde ein einzelner Nachweis gen\u00fcgen), sondern auch darum, euch neue und sch\u00f6ne Wege zu zeigen, mit denen man etwas so N\u00fctzliches beweisen kann.\n\nCommon Core Standard: 8.G.B.6';
catalog['The Pythagorean theorem'] = 'Der Satz des Pythagoras';
catalog['The Reign of Terror'] = 'The Reign of Terror';
catalog['The Renaissance in Venice in the 1500s'] = 'The Renaissance in Venice in the 1500s';
catalog['The Renaissance in the North continues, but now with the impact of the Protestant Reformation, where there was growing concern that images in the church violated the commandment against making likenesses, as part of the prohibition against worshipping idols. The Reformation had a direct impact on some of the greatest painters of this period, including the German artists Durer, who converted, and Cranach, who was a close friend of Luther. There was increasing exchange during this period between artists in Italy and those in Northern Europe in terms of both methods and style, though the two styles remain distinct. Here we see some of the most complex painting in the work of Holbein, some of the most playful in the work of Bruegel and some of the most terrifying in the work of Bosch.'] = 'The Renaissance in the North continues, but now with the impact of the Protestant Reformation, where there was growing concern that images in the church violated the commandment against making likenesses, as part of the prohibition against worshipping idols. The Reformation had a direct impact on some of the greatest painters of this period, including the German artists Durer, who converted, and Cranach, who was a close friend of Luther. There was increasing exchange during this period between artists in Italy and those in Northern Europe in terms of both methods and style, though the two styles remain distinct. Here we see some of the most complex painting in the work of Holbein, some of the most playful in the work of Bruegel and some of the most terrifying in the work of Bosch.';
catalog['The Renaissance: Was it a Thing?'] = 'Die Renaissance: War es eine gro\u00dfe Sache?';
catalog['The Roman Empire. Or Republic. Or... which was it?'] = 'Das R\u00f6mische Reich. Oder Republik. Oder... was war es?';
catalog['The Romans weren\u2019t very original (they borrowed the Greek\u2019s and Egyptian\u2019s gods, architecture, etc.), but they sure knew the political value of art and they were brilliant engineers and administrators. This tutorial traces Roman art and architecture from the Republic through the collapse of the Empire and the rise Christianity. Fly over a reconstruction of the ancient city of Rome. Understand how the Colosseum was built to appease a population angry at the excesses of the former Emperor Nero, and uncover the secret initiation rites buried by the ash of Mount Vesuvius.'] = 'The Romans weren\u2019t very original (they borrowed the Greek\u2019s and Egyptian\u2019s gods, architecture, etc.), but they sure knew the political value of art and they were brilliant engineers and administrators. This tutorial traces Roman art and architecture from the Republic through the collapse of the Empire and the rise Christianity. Fly over a reconstruction of the ancient city of Rome. Understand how the Colosseum was built to appease a population angry at the excesses of the former Emperor Nero, and uncover the secret initiation rites buried by the ash of Mount Vesuvius.';
catalog['The Seated Scribe\u200b, c. 2620-2500 B.C.E., c. 4th Dynasty, Old Kingdom, painted limestone with rock crystal, magnesite, and copper/arsenic inlay for the eyes and wood for the nipples, found in Saqqara (Mus\u00e9e du Louvre, Paris)\n\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'The Seated Scribe\u200b, c. 2620-2500 B.C.E., c. 4th Dynasty, Old Kingdom, painted limestone with rock crystal, magnesite, and copper/arsenic inlay for the eyes and wood for the nipples, found in Saqqara (Mus\u00e9e du Louvre, Paris)\n\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['The Seven Years War'] = 'Der Siebenj\u00e4hrige Krieg';
catalog['The Silk Road and ancient trade'] = 'Die Seidenstra\u00dfe und der antike Handel';
catalog['The Sixth Coalition forces Napoleon into exile on Elba'] = 'The Sixth Coalition forces Napoleon into exile on Elba';
catalog['The Spaniard Picasso changed the way we see the world. He could draw with academic perfection at a very young age but he gave it up in order to create a language of representation suited to the modern world. Together with the French artist George Braque, Picasso undertook an analysis of form and vision that would inspire radical new visual forms across Europe and in America. This tutorial explains the underlying principles of Cubism and the abstract experiments that followed including Italian Futurism, Russian Suprematism, and the Dutch movement, de Stijl.'] = 'The Spaniard Picasso changed the way we see the world. He could draw with academic perfection at a very young age but he gave it up in order to create a language of representation suited to the modern world. Together with the French artist George Braque, Picasso undertook an analysis of form and vision that would inspire radical new visual forms across Europe and in America. This tutorial explains the underlying principles of Cubism and the abstract experiments that followed including Italian Futurism, Russian Suprematism, and the Dutch movement, de Stijl.';
catalog['The Spanish Empire, silver, & runaway inflation'] = 'Das spanische Reich, Silber, & Hyperinflation';
catalog['The Station Rotation Model'] = 'The Station Rotation Model';
catalog['The Treasury of Atreus, c. 1300-1250 B.C.E., Mycenae, Greece'] = 'The Treasury of Atreus, c. 1300-1250 B.C.E., Mycenae, Greece';
catalog['The U.S. uninsured population'] = 'The U.S. uninsured population';
catalog['The Unicorn in Captivity (one of seven woven hangings popularly known as the Unicorn Tapestries or the Hunt of the Unicorn), 1495-1505, South Netherlandish, wool, silk, silver, and gilt (The Cloisters, The Metropolitan Museum of Art)'] = 'The Unicorn in Captivity (one of seven woven hangings popularly known as the Unicorn Tapestries or the Hunt of the Unicorn), 1495-1505, South Netherlandish, wool, silk, silver, and gilt (The Cloisters, The Metropolitan Museum of Art)';
catalog['The Unicorn in Captivity'] = 'The Unicorn in Captivity';
catalog['The World of Copy Cat Companies'] = 'The World of Copy Cat Companies';
catalog['The Yield Curve'] = 'The Yield Curve';
catalog['The \'problem of points\' is a classic problem Fermat and Pascal famously debated in the 17th century. Their solution to this problem formed the basis of modern day probability theory. Now it\'s your turn to relive this challenge!\n'] = 'The \'problem of points\' is a classic problem Fermat and Pascal famously debated in the 17th century. Their solution to this problem formed the basis of modern day probability theory. Now it\'s your turn to relive this challenge!\n';
catalog['The actual question itself.'] = 'The actual question itself.';
catalog['The addition-elimination mechanism'] = 'The addition-elimination mechanism';
catalog['The amazing life and strange death of Captain Cook'] = 'Das erstaunliche Leben und der merkw\u00fcrdige Tod von Kapit\u00e4n Cook';
catalog['The ancient Greeks kept busy. They produced painting and sculpture that was copied by the ancient Romans, by Renaissance and Baroque masters, and by the royal academies up until the 19th century. We still copy ancient Greek architecture, refer to their philosophy, use their geometry, perform their theatre, hold olympic games, and redefine their democracy.'] = 'The ancient Greeks kept busy. They produced painting and sculpture that was copied by the ancient Romans, by Renaissance and Baroque masters, and by the royal academies up until the 19th century. We still copy ancient Greek architecture, refer to their philosophy, use their geometry, perform their theatre, hold olympic games, and redefine their democracy.';
catalog['The angle game'] = 'Das Winkel-Spiel';
catalog['The answer text.'] = 'The answer text.';
catalog['The appearance of life marked a profound beginning. Over time, simple life forms transformed, evolving into complex organisms. '] = 'The appearance of life marked a profound beginning. Over time, simple life forms transformed, evolving into complex organisms. ';
catalog['The argument that evolution speaks to being the most "intelligent design"'] = 'Das Argument, das daf\u00fcr spricht, dass die Evolution das beste "Intelligent Design" ist';
catalog['The aromaticity of benzene'] = 'The aromaticity of benzene';
catalog['The aromaticity of pyridine and pyrimidine.'] = 'The aromaticity of pyridine and pyrimidine.';
catalog['The aromaticity of pyrrole, imidazole, and thiophene.'] = 'The aromaticity of pyrrole, imidazole, and thiophene.';
catalog['The art of Ancient Greece and Rome is grounded in civic ideals and polytheism. Etruscan and Roman artists and architects accumulated and creatively adapted Greek objects and forms to create buildings and artworks that appealed to their tastes for eclecticism and historicism. Contextual information for ancient Greek and Roman art can be derived from contemporary literary, political, legal, and economic records as well as from archaeological excavations conducted from the mid-18th century onward. Etruscan art, by contrast, is illuminated primarily by modern archaeological record and by descriptions of contemporary external observers.\n\nBy permission, \u00a9 2013 The College Board'] = 'The art of Ancient Greece and Rome is grounded in civic ideals and polytheism. Etruscan and Roman artists and architects accumulated and creatively adapted Greek objects and forms to create buildings and artworks that appealed to their tastes for eclecticism and historicism. Contextual information for ancient Greek and Roman art can be derived from contemporary literary, political, legal, and economic records as well as from archaeological excavations conducted from the mid-18th century onward. Etruscan art, by contrast, is illuminated primarily by modern archaeological record and by descriptions of contemporary external observers.\n\nBy permission, \u00a9 2013 The College Board';
catalog['The art of dynastic Egypt embodies a sense of permanence. It was created for eternity in the service of a culture that focused on preserving a cycle of rebirth.\n\nBy permission, \u00a9 2013 The College Board'] = 'The art of dynastic Egypt embodies a sense of permanence. It was created for eternity in the service of a culture that focused on preserving a cycle of rebirth.\n\nBy permission, \u00a9 2013 The College Board';
catalog['The art of gem carving'] = 'The art of gem carving';
catalog['The art of parabolas'] = 'The art of parabolas';
catalog['The art of this period is familiar, since the world of the Realists, Impressionists and Post-Impressionists is much like our own. More and more people lived in cities and worked in factories or shops for wages. Scientific and technological advances increased dramatically during this period and although there was dislocation and privation, standards of living increased sharply. In essence, modern mass culture was born. Artists responded sometimes by embracing these radical changes, and at other times by resisting them. Key here is understanding the authority of the various art academies in Europe, which controlled matters related to taste and art, and which were, to some extent, always connected to the government. A small number of artists rebelled against the strictures of the academy, and against the demand for art to tell clear stories for a middle class audience, and formed what we know as the \u201cavant-garde.\u201d'] = 'The art of this period is familiar, since the world of the Realists, Impressionists and Post-Impressionists is much like our own. More and more people lived in cities and worked in factories or shops for wages. Scientific and technological advances increased dramatically during this period and although there was dislocation and privation, standards of living increased sharply. In essence, modern mass culture was born. Artists responded sometimes by embracing these radical changes, and at other times by resisting them. Key here is understanding the authority of the various art academies in Europe, which controlled matters related to taste and art, and which were, to some extent, always connected to the government. A small number of artists rebelled against the strictures of the academy, and against the demand for art to tell clear stories for a middle class audience, and formed what we know as the \u201cavant-garde.\u201d';
catalog['The artist David Hockney called his photo collages, \u201cdrawing with a camera.\u201d Here he discusses perspective and other issues in <em>Pearblossom Hwy., 11-18th April 1986, #2</em>. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'The artist David Hockney called his photo collages, \u201cdrawing with a camera.\u201d Here he discusses perspective and other issues in <em>Pearblossom Hwy., 11-18th April 1986, #2</em>. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['The arts of South, East, and Southeast Asia represent some of the world\u2019s oldest, most diverse, and most sophisticated visual traditions.'] = 'The arts of South, East, and Southeast Asia represent some of the world\u2019s oldest, most diverse, and most sophisticated visual traditions.';
catalog['The assumptions that limit innovation -- the school year, daily schedule, class size'] = 'The assumptions that limit innovation -- the school year, daily schedule, class size';
catalog['The atmosphere and climate'] = 'The atmosphere and climate';
catalog['The atom, proton, neutron and electron'] = 'Das Atom, Proton, Neutron und Elektron';
catalog['The bank gets bailed out by an equity infusion from a sovereign wealth fund.'] = 'The bank gets bailed out by an equity infusion from a sovereign wealth fund.';
catalog['The basic dynamic of an interest rate swap'] = 'Die grundlegende Dynamik eines Zinsswaps';
catalog['The basic foundations of geometry-lines, rays, angles--will be explored!  On top of that, we will start to see how various shapes can be classified!'] = 'Die Grundlage der Geometrie - Geraden, Strahlen, Winkel - werden erkundet. Zus\u00e4tzlich werden wir anfangen zu sehen, wie man verschiedene Formen klassifizieren kann.';
catalog['The basic idea of a consumption function'] = 'The basic idea of a consumption function';
catalog['The basic mechanics of a bitcoin transaction between two parties and what is included within a given bitcoin transaction record.'] = 'The basic mechanics of a bitcoin transaction between two parties and what is included within a given bitcoin transaction record.';
catalog['The basics of Type I and Type II diabetes'] = 'The basics of Type I and Type II diabetes';
catalog['The basics of the alternative minimum tax'] = 'The basics of the alternative minimum tax';
catalog['The basics of the logarithmic Richter and Moment Magnitude Scales to measure earthquakes'] = 'Die Grundlagen der logarithmischen Richter- und Momentgr\u00f6\u00dfen-Skalen zur Messung von Erdbeben';
catalog['The basics of what price inflation is and how the CPI-U is calculated'] = 'The basics of what price inflation is and how the CPI-U is calculated';
catalog['The basics'] = 'The basics';
catalog['The battery and electromagnetism'] = 'Die Batterie und Elektromagnetismus';
catalog['The beauty of algebra'] = 'Die Sch\u00f6nheit der Algebra';
catalog['The beginning of World War I'] = 'Beginn des 1. Weltkriegs';
catalog['The beginning of a proof of Stokes\' theorem for a special class of surfaces.  Finding the curl of our vector field.'] = 'The beginning of a proof of Stokes\' theorem for a special class of surfaces.  Finding the curl of our vector field.';
catalog['The big slip'] = 'The big slip';
catalog['The body as subject and medium'] = 'The body as subject and medium';
catalog['The brain after juggling'] = 'Das Gehirn nach dem Jonglieren';
catalog['The bronchial tree'] = 'Der Bronchialbaum';
catalog['The business cycle and how it may be driven by emotion'] = 'Der Konjunkturzyklus und wie er von Gef\u00fchlen geleitet werden kann';
catalog['The business cycle'] = 'The business cycle';
catalog['The carbon cycle'] = 'The carbon cycle';
catalog['The central limit theorem and the sampling distribution of the sample mean'] = 'Der Zentrale Grenzwertsatz und die Verteilung von Stichproben-Mittelwerten';
catalog['The challenges to picking software'] = 'The challenges to picking software';
catalog['The circus was one of the great spectacles of late-nineteenth-century Paris, and attracted many artists including Henri de Toulouse-Lautrec who frequently visited the Cirque Fernando in Paris. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'The circus was one of the great spectacles of late-nineteenth-century Paris, and attracted many artists including Henri de Toulouse-Lautrec who frequently visited the Cirque Fernando in Paris. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['The classical orders'] = 'The classical orders';
catalog['The cold war between the United States and the Soviet and their respective allies never involved direct conflict (which might have ended the world).  Instead, it involved posturing, brinksmanship and proxy wars in far-flung regions of the world.'] = 'Der Kalte Krieg zwischen den USA und der Sovietunion (und den entsprechenden Allierten) wurde nie direkt ausgefochten (das h\u00e4tte wom\u00f6glich die Welt zerst\u00f6rt). Stattdessen umfasste er Schauk\u00e4mpfe, Brinkmanship und Stellvertreterkriege in entlegenen Regionen der Welt.';
catalog['The complex plane'] = 'Die komplexe Zahlenebene';
catalog['The computers in these facilities cannot be networked.'] = 'The computers in these facilities cannot be networked.';
catalog['The conceptual and notational differences between a parameter for a population and a statistic calculated from a sample.'] = 'Die Unterschiede zwischen einem Parameter f\u00fcr eine Bev\u00f6lkerung und einem aus einer Stichprobe berechneten statistischen Wert.';
catalog['The conservation of the "Apollo Saettante" at the Getty Villa'] = 'The conservation of the "Apollo Saettante" at the Getty Villa';
catalog['The conservation of works of art'] = 'The conservation of works of art';
catalog['The convolution and the laplace transform'] = 'The convolution and the laplace transform';
catalog['The convolution integral'] = 'Das Faltungsintegral';
catalog['The core ideas in microeconomics.  Supply, demand and equilibrium.'] = 'Die Kernideen der Mikro\u00f6konomie. Angebot, Nachfrage und Gleichgewicht.';
catalog['The core underlying concepts in algebra are variables, expressions, equations and inequalities.  You will see them throughout your math life (and even life after school).  \n\nThis tutorial won\'t give you all the tools that you\'ll later learn to analyze and interpret these ideas, but it\'ll get you started thinking about them.'] = 'In Algebra sind die zentralen Prinzipien dahinter Variablen, Ausdr\u00fccke, Gleichungen und Ungleichungen. Du wirst sie deine ganze Mathematische Laufbahn lang (und sogar danach) sehen. \n\nDieses Tutorial wird dir nicht alle Mittel geben, die du sp\u00e4ter einmal zum analysieren und interpretieren dieser Vorstellungen lernen wirst, aber es wird dir einen Gedankensto\u00df geben.';
catalog['The core underlying concepts in algebra are variables, expressions, equations and inequalities. You will see them throughout your math life (and even life after school). This tutorial won\'t give you all the tools that you\'ll later learn to analyze and interpret these ideas, but it\'ll get you started thinking about them.\n\nCommon Core Standards: 6.EE.B.5, 6.EE.B.6, 6.EE.B.7'] = 'In Algebra sind die zentralen Prinzipien dahinter Variablen, Ausdr\u00fccke, Gleichungen und Ungleichungen. Du wirst sie deine ganze mathematische Laufbahn lang (und sogar nach der Schule) sehen. \n\nDieses Tutorial wird dir nicht alle Werkzeuge geben, die du sp\u00e4ter einmal zum analysieren und interpretieren dieser Vorstellungen lernen wirst, aber es wird dir einen Gedankenansto\u00df geben.\n\nCommon Core Standards: 6.EE.B.5, 6.EE.B.6, 6.EE.B.7';
catalog['The counter is an integer &#39;timestamp&#39; for each update, and tells the last data update synced for a given device.'] = 'The counter is an integer &#39;timestamp&#39; for each update, and tells the last data update synced for a given device.';
catalog['The cross product and the direction of torque.'] = 'Das Kreuzprodukt und die Richtung des Drehmoments.';
catalog['The cube root'] = 'Die Kubikwurzel';
catalog['The daguerreotype is a one-of-a-kind, highly detailed photographic image on a polished copper plate coated with silver. It was introduced in 1839 and became the first popular photographic medium. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'The daguerreotype is a one-of-a-kind, highly detailed photographic image on a polished copper plate coated with silver. It was introduced in 1839 and became the first popular photographic medium. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['The decarboxylation (loss of carbon dioxide) of malonic acid and a beta-keto acid. By Jay.'] = 'The decarboxylation (loss of carbon dioxide) of malonic acid and a beta-keto acid. By Jay.';
catalog['The demand curve'] = 'Die Nachfragekurve';
catalog['The derivative of f(x)=x^2 for any x'] = 'Die Ableitung von f(x)=x^2 f\u00fcr jedes x';
catalog['The determinant of an upper triangular matrix'] = 'Die Determinante einer oberen Dreiecksmatrix';
catalog['The determinant when a row is multiplied by a scalar'] = 'The determinant when a row is multiplied by a scalar';
catalog['The determinant when one matrix has a row that is the sum of the rows of other matrices (and every other term is identical in the 3 matrices)'] = 'The determinant when one matrix has a row that is the sum of the rows of other matrices (and every other term is identical in the 3 matrices)';
catalog['The development of photography and the railroad'] = 'The development of photography and the railroad';
catalog['The device needs to have internet access when first being registered. Please ensure it is connected to the internet, and then'] = 'Bei der ersten Registrierung eines Ger\u00e4tes, muss es \u00fcber einen Internetanschluss verf\u00fcgen. Bitte sicherstellen, dass es mit dem Internet verbunden ist, und dann';
catalog['The device\'s public key has been successfully registered. You may now close this window.'] = 'Der \u00f6ffentliche Schl\u00fcssel f\u00fcr dieses Ger\u00e4t wurde erfolgreich registriert. Du kannst nun dieses Fenster schlie\u00dfen.';
catalog['The difference between APR and effective APR'] = 'The difference between APR and effective APR';
catalog['The difference between a bond and a stock.'] = 'Der Unterschied zwischen einer Anleihe und einer Aktie.';
catalog['The difference between acute, obtuse and right angles'] = 'Der Unterschied zwischen spitzen, stumpfen und rechten Winkeln';
catalog['The difference between investment and consumption.'] = 'The difference between investment and consumption.';
catalog['The difference between macrostates and microstates.  Thermodynamic equilibrium.'] = 'The difference between macrostates and microstates.  Thermodynamic equilibrium.';
catalog['The differences between propioception (sense of body position) and kinesthesia (sense of body movement) are discussed.&nbsp; By Ronald Sahyouni.'] = 'The differences between propioception (sense of body position) and kinesthesia (sense of body movement) are discussed.&nbsp; By Ronald Sahyouni.';
catalog['The differences of surface tension between soap and water can really make things go! This video shows some interesting demos illustrating the Marangoni Effect. Two liquids with different surface tensions will result in a surface tension gradient, resulting in a net force. This phenomena applies to each of the demonstrations shown. Watch a demonstration of how Marangoni stress can be used to propel small boats around (the "soap-powered boat").\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions'] = 'The differences of surface tension between soap and water can really make things go! This video shows some interesting demos illustrating the Marangoni Effect. Two liquids with different surface tensions will result in a surface tension gradient, resulting in a net force. This phenomena applies to each of the demonstrations shown. Watch a demonstration of how Marangoni stress can be used to propel small boats around (the "soap-powered boat").\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions';
catalog['The different roles in the healthcare system'] = 'Die verschiedenen Rollen im Gesundheitswesen';
catalog['The different types of software used in blended learning'] = 'The different types of software used in blended learning';
catalog['The digestive system'] = 'Das Verdauungssystem';
catalog['The directing effects of substituents on a benzene ring'] = 'The directing effects of substituents on a benzene ring';
catalog['The direction of the force in cases of circular motion at constant speeds'] = 'Die Richtung der Kraft im Falle einer Kreisbewegung mit konstanter Geschwindigkeit';
catalog['The discount rate and window.  Lender of last resort.'] = 'The discount rate and window.  Lender of last resort.';
catalog['The discount rate'] = 'The discount rate';
catalog['The discovery of magnetism. What can we do with this invisible force?'] = 'The discovery of magnetism. What can we do with this invisible force?';
catalog['The discrete logarithm problem'] = 'Das Diskrete Logarithmusproblem';
catalog['The distributive property 2'] = 'Das Distributivgesetz 2';
catalog['The distributive property is an idea that shows up over and over again in mathematics.  It is the idea that 5 x (3 + 4) = (5 x 3) + (5 x 4).  If that last statement made complete sense, no need to watch this tutorial.  If it didn\'t or you don\'t know why it\'s true, then this tutorial might be a good way to pass the time :)'] = 'Das Distributivgesetz ist eine Idee, die in der Mathematik immer und immer wieder gezeigt wirt. Es ist eine Idee, dass 5 x (3 + 4) = (5 x 3) + (5 x 4) ist. Wenn die letzte Aussage f\u00fcr dich klar ist, brauchst du dieses Tutorial nicht zu sehen. Wenn es f\u00fcr dich keinen Sinn ergibt oder du nicht wei\u00dft warum es wahr ist, k\u00f6nnte dieses Tutorial ein guter Weg sein um deine Zeit verschwenden :)\n';
catalog['The distributive property'] = 'Das Distributivgesetz';
catalog['The dot product'] = 'Das Skalarprodukt';
catalog['The early 1900s marked the end of thousands of years of dynastic imperial rule in China.  It also marked the beginning of a complex period of fragmentation, civil war and fending off Japanese imperial ambitions.  This tutorial covers everything from the establishment of the Republic of China by Sun Yat-sen to the Warlord Era to the Chinese Civil War between the Chiang Kai-Shek led Kuomintang and the Communists led by Mao Zedong.'] = 'The early 1900s marked the end of thousands of years of dynastic imperial rule in China.  It also marked the beginning of a complex period of fragmentation, civil war and fending off Japanese imperial ambitions.  This tutorial covers everything from the establishment of the Republic of China by Sun Yat-sen to the Warlord Era to the Chinese Civil War between the Chiang Kai-Shek led Kuomintang and the Communists led by Mao Zedong.';
catalog['The early Universe was dark and cold \u2013 until a few atoms of hydrogen and helium got together, and a star was born.<br>'] = 'The early Universe was dark and cold \u2013 until a few atoms of hydrogen and helium got together, and a star was born.<br>';
catalog['The early atmosphere'] = 'The early atmosphere';
catalog['The effect of electron-withdrawing and electron-donating groups'] = 'The effect of electron-withdrawing and electron-donating groups';
catalog['The effect of hybrid orbitals on acidity'] = 'The effect of hybrid orbitals on acidity';
catalog['The effect of taxation on the equilibrium price and quantity'] = 'The effect of taxation on the equilibrium price and quantity';
catalog['The electrical signal from a radio is converted to light with the help of a 9V battery.'] = 'The electrical signal from a radio is converted to light with the help of a 9V battery.';
catalog['The elimination-addition mechanism'] = 'The elimination-addition mechanism';
catalog['The email address you entered is invalid.'] = 'Die eingegebene E-Mail-Adresse ist ung\u00fcltig.';
catalog['The equations you are about to see are some of the hairiest in all of algebra.  The key is to keep calm and don\'t let the rational equation be the boss of you.'] = 'Die Gleichungen, die nun folgen, geh\u00f6ren zu den schwierigsten der Algebra. Das Wichtigste dabei ist die Ruhe zu bewahren und sich nicht von der rationalen Gleichung beherrschen zu lassen.';
catalog['The error message was:'] = 'Die Fehlermeldung lautet:';
catalog['The evidence left behind by early humans gives us a vivid picture of their lives.<br>'] = 'The evidence left behind by early humans gives us a vivid picture of their lives.<br>';
catalog['The excretory system: From your heart to the toilet'] = 'Die Ausscheidungsorgane: Aus deinem Herzen in die Toilette';
catalog['The facilities do not currently have any infrastructure, and we will be supplying hardware.'] = 'The facilities do not currently have any infrastructure, and we will be supplying hardware.';
catalog['The facilities have a central server that student computers can connect to.'] = 'The facilities have a central server that student computers can connect to.';
catalog['The facilities have computer labs that have internal networks that student computers can connect to one another through.'] = 'The facilities have computer labs that have internal networks that student computers can connect to one another through.';
catalog['The facilities have no internet access whatsoever.'] = 'The facilities have no internet access whatsoever.';
catalog['The facilities have occasional internet access, but it is rarely connected.'] = 'The facilities have occasional internet access, but it is rarely connected.';
catalog['The facilities have very slow (e.g. 3G wireless or dialup) connections.'] = 'The facilities have very slow (e.g. 3G wireless or dialup) connections.';
catalog['The facility \'%(facility_name)s\' has been successfully saved!'] = 'Die Einrichtung \'%(facility_name)s\' wurde erfolgreich gespeichert!';
catalog['The firm and economic profit'] = 'Die Unternehmung und \u00f6konomischer Gewinn';
catalog['The first Christians were often persecuted in the Ancient Roman empire, but when\u2014thanks to Constantine\u2014Christianity became legal in the 4th century, Christians could worship openly and the first churches were built in Rome and Christians could be buried in tombs sculpted with Christian imagery. This tutorial takes you on a tour of early Christian churches, and takes a close look at the sarcophagus of a Roman senator who died in 359.'] = 'The first Christians were often persecuted in the Ancient Roman empire, but when\u2014thanks to Constantine\u2014Christianity became legal in the 4th century, Christians could worship openly and the first churches were built in Rome and Christians could be buried in tombs sculpted with Christian imagery. This tutorial takes you on a tour of early Christian churches, and takes a close look at the sarcophagus of a Roman senator who died in 359.';
catalog['The first challenge in the Cryptography series'] = 'Die erste Herausforderung in der Kryptographie-Reihe';
catalog['The first math topic. Start here if you want to learn the basics (or just want to make sure you know these topics). After this, you should be ready for algebra. This topic includes videos from the former developmental math playlists.'] = 'Der erste Themenblock der Mathematik. Fang hier an, wenn du die Grundlagen lernen willst (oder um sicherzustellen, dass du diese Themen beherrschst). Nach diesem Block bist du gut auf die Algebra vorbereitet. Dieses Thema enth\u00e4lt Videos der vorherigen Fr\u00fchmathematik-Playlist.';
catalog['The fiscal cliff'] = 'The fiscal cliff';
catalog['The flu has been causing disease and death for a long time.  Get a feel for exactly how many folks are affected each year by this disease. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'The flu has been causing disease and death for a long time.  Get a feel for exactly how many folks are affected each year by this disease. \n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['The flu virus has the unique ability to change in two different ways, causing genetic shift and drift.  Learn exactly how these two mechanisms differ from one another\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'The flu virus has the unique ability to change in two different ways, causing genetic shift and drift.  Learn exactly how these two mechanisms differ from one another\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['The food chain'] = 'The food chain';
catalog['The force that keeps a block of ice from falling towards the center of the earth'] = 'The force that keeps a block of ice from falling towards the center of the earth';
catalog['The formal and alternate form of the derivative'] = 'The formal and alternate form of the derivative';
catalog['The four levels of protein structure are primary, secondary, tertiary, and quaternary. It is helpful to understand the nature and function of each level of protein structure in order to fully understand how a protein works. &nbsp;By Tracy Kovach.'] = 'The four levels of protein structure are primary, secondary, tertiary, and quaternary. It is helpful to understand the nature and function of each level of protein structure in order to fully understand how a protein works. &nbsp;By Tracy Kovach.';
catalog['The fundamental theorem of algebra'] = 'The fundamental theorem of algebra';
catalog['The fundamental theorem of arithmetic'] = 'Der Fundamentalsatz der Arithmetik';
catalog['The general idea behind the word \'abstract\''] = 'Die Grundidee hinter dem Begriff "abstrakt"';
catalog['The general mechanism of nucleophilic acyl substitution (and leaving group stability). By Jay.'] = 'The general mechanism of nucleophilic acyl substitution (and leaving group stability). By Jay.';
catalog['The general reaction and mechanism of Electrophilic Aromatic Substitution'] = 'The general reaction and mechanism of Electrophilic Aromatic Substitution';
catalog['The genetic code'] = 'The genetic code';
catalog['The golden ratio'] = 'Der goldenene Schnitt';
catalog['The government apparently wants us to save for retirement (not always obvious because it also wants us to spend as much as possible to pump the economy going into the next election cycle).  To encourage this, it has created some ways to save that avoid or defer taxes: IRAs and 401ks.'] = 'The government apparently wants us to save for retirement (not always obvious because it also wants us to spend as much as possible to pump the economy going into the next election cycle).  To encourage this, it has created some ways to save that avoid or defer taxes: IRAs and 401ks.';
catalog['The great artist Francisco Goya is the focus of this tutorial. Goya began his career designing tapestries for the royal residences, and eventually became court painter to the King of Spain. But after Napoleon\u2019s army occupied Spain and deposed the King, Goya documented the horrors he witnessed. His work following the occupation, including the Third of May 1808, remains some of the most powerful anti-war images ever created. His later years were spent largely in a house outside Madrid which he painted with haunting scenes. Saturn Devouring his sons belongs to this late series, known as the \u201cBlack Paintings.\u201d'] = 'The great artist Francisco Goya is the focus of this tutorial. Goya began his career designing tapestries for the royal residences, and eventually became court painter to the King of Spain. But after Napoleon\u2019s army occupied Spain and deposed the King, Goya documented the horrors he witnessed. His work following the occupation, including the Third of May 1808, remains some of the most powerful anti-war images ever created. His later years were spent largely in a house outside Madrid which he painted with haunting scenes. Saturn Devouring his sons belongs to this late series, known as the \u201cBlack Paintings.\u201d';
catalog['The great moon debate'] = 'The great moon debate';
catalog['The halogenation of benzene'] = 'The halogenation of benzene';
catalog['The hidden masters of the Middle Ages: the Limbourg brothers'] = 'The hidden masters of the Middle Ages: the Limbourg brothers';
catalog['The history of life on earth'] = 'Die Geschichte des Lebens auf der Erde';
catalog['The history of modern art is not simply a linear progression of styles. Rather, artists respond to and participate in the intellectual, social, and cultural contexts of their time.  MoMA has a long history of experimental approaches to engaging people with art, which is at the core of the museum\'s mission. Listen to MoMA educators discuss how they teach challenging works of art, hear tips for teaching, and learn about MoMA\'s programs for individuals with dementia.'] = 'The history of modern art is not simply a linear progression of styles. Rather, artists respond to and participate in the intellectual, social, and cultural contexts of their time.  MoMA has a long history of experimental approaches to engaging people with art, which is at the core of the museum\'s mission. Listen to MoMA educators discuss how they teach challenging works of art, hear tips for teaching, and learn about MoMA\'s programs for individuals with dementia.';
catalog['The history of our planet \u2013 along with clues about its future \u2013 is written in rock record. Rock detectives (geologists) study these clues and often observe Earth\'s changes firsthand.'] = 'The history of our planet \u2013 along with clues about its future \u2013 is written in rock record. Rock detectives (geologists) study these clues and often observe Earth\'s changes firsthand.';
catalog['The history of our planet is written in rock record, along with clues about the future. Rock detectives \u2013 geologists \u2013 study these clues and often observe Earth\u2019s changes first hand.'] = 'The history of our planet is written in rock record, along with clues about the future. Rock detectives \u2013 geologists \u2013 study these clues and often observe Earth\u2019s changes first hand.';
catalog['The history of the Universe decorates the night sky. Learn how to watch this history by studying cosmic light emissions.<br>'] = 'The history of the Universe decorates the night sky. Learn how to watch this history by studying cosmic light emissions.<br>';
catalog['The history of the world (eventually)!'] = 'Die Geschichte der Welt (endlich)!';
catalog['The history of visual telegraphs'] = 'Die Geschichte der visuellen Telegraphie';
catalog['The housing price conundrum'] = 'The housing price conundrum';
catalog['The human body enjoys stability. For example, if your blood pressure changes, the body puts a couple of brilliant systems into motion in order to respond and bring your blood pressure back to normal.  There are some quick responses using nerves and some slower responses using hormones.  The system using hormones is sometimes called the renin-angiotensin-aldosterone-system (RAAS), which is the main system in the body for controlling blood pressure. When your blood pressure drops too low or gets too high, your kidneys, liver, and pituitary gland (part of your brain) talk to each other to solve the problem. They do this without you even noticing! Learn how the body knows when the blood pressure has changed, and how hormones like angiotensin 2, aldosterone, and ADH help return blood pressure to back to normal.'] = 'The human body enjoys stability. For example, if your blood pressure changes, the body puts a couple of brilliant systems into motion in order to respond and bring your blood pressure back to normal.  There are some quick responses using nerves and some slower responses using hormones.  The system using hormones is sometimes called the renin-angiotensin-aldosterone-system (RAAS), which is the main system in the body for controlling blood pressure. When your blood pressure drops too low or gets too high, your kidneys, liver, and pituitary gland (part of your brain) talk to each other to solve the problem. They do this without you even noticing! Learn how the body knows when the blood pressure has changed, and how hormones like angiotensin 2, aldosterone, and ADH help return blood pressure to back to normal.';
catalog['The hydrologic and carbon cycles: Always recycle!'] = 'Der Wasser- und Kohlenstoff Kreislauf: Immer recyclen!';
catalog['The hypothalamus and pituitary gland'] = 'The hypothalamus and pituitary gland';
catalog['The icons of Saint Catherine\'s Monastery, Sinai, Egypt'] = 'The icons of Saint Catherine\'s Monastery, Sinai, Egypt';
catalog['The idea of a derivative being the instantaneous rate of change is useful when studying or thinking about phenomena in a whole range of fields.  In this tutorial, we begin to just scratch the surface as we apply derivatives in fields as disperse as biology and economics.'] = 'The idea of a derivative being the instantaneous rate of change is useful when studying or thinking about phenomena in a whole range of fields.  In this tutorial, we begin to just scratch the surface as we apply derivatives in fields as disperse as biology and economics.';
catalog['The idea of division'] = 'Die Grundidee bei der Division';
catalog['The idea of slope is fairly straightforward-- (change in vertical) over (change in horizontal).  But how do we measure this if the (change in horizontal) is zero (which would be the case when finding the slope of the tangent line.  In this tutorial, we\'ll approximate this by finding the slopes of secant lines.'] = 'Die Idee der Steigung ist ziemlich einfach --(vertikale \u00c4nderung) durch (horizontale \u00c4nderung).  Aber wie k\u00f6nnen wir das messen, wenn die (\u00c4nderung der Horizontalen) gleich NULL ist (was der Fall w\u00e4re, wenn wir die Steigung der Tangente finden).  In diesem Tutorial werden wir dies ann\u00e4hern, indem wir die Steigungen von Sekanten herausfinden.';
catalog['The imaginary unit and complex numbers'] = 'Die imagin\u00e4re Einheit und komplexe Zahlen';
catalog['The imaginary unit i'] = 'Die imagin\u00e4re Einheit i';
catalog['The income statement, revenue, gross profit, operating profit, net income, ROA and ROE.'] = 'The income statement, revenue, gross profit, operating profit, net income, ROA and ROE.';
catalog['The infamous Wakefield study kickstarted the Autism Myth, but many studies have since shown that there is no link between the MMR Vaccine and autism.  Find out how it all got started.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'The infamous Wakefield study kickstarted the Autism Myth, but many studies have since shown that there is no link between the MMR Vaccine and autism.  Find out how it all got started.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['The initial public offering of our online sock company.'] = 'The initial public offering of our online sock company.';
catalog['The inlay technique of marquetry'] = 'The inlay technique of marquetry';
catalog['The innovative mechanics and artistry of Jean-Fran\u00e7ois Oeben\'s table continue to amaze.&nbsp;<span>Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a></span>'] = 'The innovative mechanics and artistry of Jean-Fran\u00e7ois Oeben\'s table continue to amaze.&nbsp;<span>Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a></span>';
catalog['The institutions involved in processing your credit credit and how they relate to each other'] = 'The institutions involved in processing your credit credit and how they relate to each other';
catalog['The intuition of what the divergence of a vector field is.'] = 'Das Gesp\u00fcr daf\u00fcr, was die Divergenz eines Vektorfeldes ist.';
catalog['The invention of agriculture is not just a matter of tastier food. It unlocked powerful forces that transformed history.<br>'] = 'The invention of agriculture is not just a matter of tastier food. It unlocked powerful forces that transformed history.<br>';
catalog['The invention of the battery with Alessandro Volta and Luigi Galvani'] = 'Die Erfindung der Batterie mit Luigi Galvani und Alessandro Volta';
catalog['The isoelectric point of an amino acid is the pH at which the amino acid has a neutral charge. You will learn how to calculate the isoelectric point, and the affects of pH on the amino acid&#39;s overall charge. We will also discuss zwitterions, or the forms of amino acids that dominate at the isoelectric point. By Tracy Kovach.'] = 'The isoelectric point of an amino acid is the pH at which the amino acid has a neutral charge. You will learn how to calculate the isoelectric point, and the affects of pH on the amino acid&#39;s overall charge. We will also discuss zwitterions, or the forms of amino acids that dominate at the isoelectric point. By Tracy Kovach.';
catalog['The key elements of the student experience'] = 'The key elements of the student experience';
catalog['The key technologies in our story.'] = 'Die wichtigsten Technologien in unserer Geschichte.';
catalog['The kidney and nephron'] = 'The kidney and nephron';
catalog['The language advocates'] = 'Die Sprach - Repr\u00e4sentanten';
catalog['The last part of the problem in part 7'] = 'Der letzte Teil des Problems aus Teil 7';
catalog['The learning environment in a station rotation, lab rotation and flex model'] = 'The learning environment in a station rotation, lab rotation and flex model';
catalog['The learning environment in the protagonist schools'] = 'The learning environment in the protagonist schools';
catalog['The least squares approximation for otherwise unsolvable equations'] = 'The least squares approximation for otherwise unsolvable equations';
catalog['The light is different in Venice, the sun glints off the city\u2019s watery streets illuminating Renaissance palaces and churches filled with the art of Bellini, Giorgione, Tintoretto, Veronese and Titian. Perhaps due to the complex play of light reflected off the canals and Byzantine mosaics, Venetian art is known for its brilliant color and subtle tone. The great Venetian artists produced many of the most important paintings of the Renaissance, but their work was different from their colleagues in Florence and Rome who found inspiration in ancient ruins. The Venetians favored the sumptuous, the exotic and the poetic and created art for a society that had grown wealthy trading with distant lands.'] = 'The light is different in Venice, the sun glints off the city\u2019s watery streets illuminating Renaissance palaces and churches filled with the art of Bellini, Giorgione, Tintoretto, Veronese and Titian. Perhaps due to the complex play of light reflected off the canals and Byzantine mosaics, Venetian art is known for its brilliant color and subtle tone. The great Venetian artists produced many of the most important paintings of the Renaissance, but their work was different from their colleagues in Florence and Rome who found inspiration in ancient ruins. The Venetians favored the sumptuous, the exotic and the poetic and created art for a society that had grown wealthy trading with distant lands.';
catalog['The lungs and pulmonary system'] = 'Die Lunge und das Pulmonalsystem';
catalog['The lymphatic system\'s role in immunity'] = 'The lymphatic system\'s role in immunity';
catalog['The magic and mystery of the Euler Line'] = 'The magic and mystery of the Euler Line';
catalog['The magnetic force that two current-carrying wires exert on each other.'] = 'The magnetic force that two current-carrying wires exert on each other.';
catalog['The main focus of this tutorial, and a leading artist at this time is the great Diego Velazquez, who spent most of his career as the court painter to the King of Spain painting official portraits. But in the hands of Velazquez, even mundane portraits became masterpieces of brushwork and color. His early work was influenced by the realism of Caravaggio. Get up close to the princess in his later masterpiece, Las Meninas (The Maids of Honor), and you\u2019ll see broad brushstrokes of red, pink, black and white, but step back and they magically resolve to create a perfect illusion of the silk of her dress and the light moving across her face and hair. No other artist, except perhaps Titian and Rubens, revealed so honestly the alchemy of painting\u2014how paint can be turned into reality.'] = 'The main focus of this tutorial, and a leading artist at this time is the great Diego Velazquez, who spent most of his career as the court painter to the King of Spain painting official portraits. But in the hands of Velazquez, even mundane portraits became masterpieces of brushwork and color. His early work was influenced by the realism of Caravaggio. Get up close to the princess in his later masterpiece, Las Meninas (The Maids of Honor), and you\u2019ll see broad brushstrokes of red, pink, black and white, but step back and they magically resolve to create a perfect illusion of the silk of her dress and the light moving across her face and hair. No other artist, except perhaps Titian and Rubens, revealed so honestly the alchemy of painting\u2014how paint can be turned into reality.';
catalog['The math of renting vs. buying a home.  Challenging the notion that it is always better to buy.'] = 'Die Mathematik hinter \'Ein Haus mieten\' vs. \'Ein Haus kaufen\'. Hinterfragung der Aussage, dass es immer besser ist zu kaufen als zu mieten. ';
catalog['The mean'] = 'The mean';
catalog['The mechanics of a bitcoin transaction block chain, which is a construct that is generated by bitcoin miners and functions as a global ledger for recording and validating bitcoins.'] = 'The mechanics of a bitcoin transaction block chain, which is a construct that is generated by bitcoin miners and functions as a global ledger for recording and validating bitcoins.';
catalog['The mechanics of a simple leveraged buy-out'] = 'Die Mechanik eines einfachen Leveraged-Buy-Out';
catalog['The mechanics of calculating curl.'] = 'The mechanics of calculating curl.';
catalog['The mechanics of the carry trade'] = 'The mechanics of the carry trade';
catalog['The mechanism for the acid-catalyzed hydrolysis of esters (and transesterification). By Jay.'] = 'The mechanism for the acid-catalyzed hydrolysis of esters (and transesterification). By Jay.';
catalog['The mechanism for the formation of amides from carboxylic acids and amines using dicyclohexylcarbodiimide (DCC). By Jay.<br />\n&nbsp;'] = 'The mechanism for the formation of amides from carboxylic acids and amines using dicyclohexylcarbodiimide (DCC). By Jay.<br />\n&nbsp;';
catalog['The mechanism of action of beta-lactam antibiotics. By Jay.'] = 'The mechanism of action of beta-lactam antibiotics. By Jay.';
catalog['The mechanism of acylation'] = 'The mechanism of acylation';
catalog['The mechanism of alkylation'] = 'The mechanism of alkylation';
catalog['The mechanism of the Birch Reduction'] = 'The mechanism of the Birch Reduction';
catalog['The mechanisms by which the supply of bitcoins is controlled.'] = 'The mechanisms by which the supply of bitcoins is controlled.';
catalog['The mechanisms for acid and base catalyzed hydrolysis of amides. By Jay.'] = 'The mechanisms for acid and base catalyzed hydrolysis of amides. By Jay.';
catalog['The medical world can be a confusing place. Patients and their families might feel overwhelmed by the large vocabularies and complicated explanations they get from their health care providers. Students entering health care also struggle to grasp the complexity of health sciences, and are forced to memorize huge amounts of information. We hope to make understanding the medical world a bit easier. Look around!\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have\nregarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Das Gesundheitswesen kann verwirrend sein. Patienten und ihre Familien werden oft \u00fcberw\u00e4ltigt von dem ungewohnten Vokabular und den komplizierten Erkl\u00e4rungen, die sie vom medizinischen Fachpersonal bekommen. Auch Studenten tun sich schwer in den komplexen Gesundheitwissenschaften und m\u00fcssen sich riesige Mengen an Informationen einpr\u00e4gen. Wir m\u00f6chten das Verst\u00e4ndnis f\u00fcr die medizinische Welt ein bisschen erleichtern. Schau dich einfach um!\n\nDiese Videos geben keine medizinischen Ratschl\u00e4ge und dienen nur der Information. Die Videos sollen in keiner Weise eine professionelle medizinische Beratung, Untersuchung oder Behandlung ersetzen. Wenn du Fragen zu deinem Gesundheitszustand hast,\ndann suche den Rat eines qualifizierten Fachmannes. Das, was du in der Khan Academy liest oder siehst, sollte nicht dazu f\u00fchren, dass du medizinische Anweisungen nicht mehr beachtest, oder dass du dir keinen medizinischen Rat mehr einholst.';
catalog['The medieval calendar served as a map of the Church year. Many calendars featured related illustrations of saints, feasts, monthly labors, leisure activities, and signs of the zodiac. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>'] = 'The medieval calendar served as a map of the Church year. Many calendars featured related illustrations of saints, feasts, monthly labors, leisure activities, and signs of the zodiac. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>';
catalog['The medieval calendar'] = 'The medieval calendar';
catalog['The modern revolution began about two hundred years ago and created the world we are living in today.<br>'] = 'The modern revolution began about two hundred years ago and created the world we are living in today.<br>';
catalog['The mohorovicic seismic discontinuity'] = 'The mohorovicic seismic discontinuity';
catalog['The mole and avogadro\'s number'] = 'The mole and avogadro\'s number';
catalog['The monetary system'] = 'Das W\u00e4hrungssystem';
catalog['The most amazing conclusion in mathematics!'] = 'The most amazing conclusion in mathematics!';
catalog['The moves of a blended learning teacher'] = 'The moves of a blended learning teacher';
catalog['The mummification process'] = 'The mummification process';
catalog['The nervous system'] = 'Das Nervensystem';
catalog['The neuron and nervous system'] = 'The neuron and nervous system';
catalog['The normal distribution (often referred to as the "bell curve" is at the core of most of inferential statistics.  By assuming that most complex processes result in a normal distribution (we\'ll see why this is reasonable), we can gauge the probability of it happening by chance.\n\nTo best enjoy this tutorial, it is good to come to it understanding what probability distributions and random variables are.  You should also be very familiar with the notions of population and sample mean and standard deviation.'] = 'Die Normalverteilung (oft auch "Gau\u00dfsche Glockenkurve" genannt) stellt den Kern des Gro\u00dfteils der Inferenzstatistik dar. Durch das Annehmen, dass die meisten komplexen Prozesse normalverteielt sind (du wirst auch sehen, warum das eine sinnhafte Annahme ist), kannst du die Wahrscheinlichkeit berechnen, dass sie auch wirklich stattfinden.\n\nF\u00fcr den gr\u00f6\u00dftm\u00f6glichen Spa\u00dffaktor, w\u00e4re es pratkisch, wenn du dich bereits mit Wahrscheinlichkeitsverteilungen und Zufallsvariablen auskennst. Ebenso sollten dir "Population", "Mittelwert einer Stichprobe" und "Standardabweichung" Begriffe sein. ';
catalog['The observation that inflation and unemployment tend to be inversely correlated'] = 'The observation that inflation and unemployment tend to be inversely correlated';
catalog['The one-time pad'] = 'Das One-Time-Pad';
catalog['The order you would like the question to be displayed.'] = 'The order you would like the question to be displayed.';
catalog['The order you would like the topic to be displayed.'] = 'The order you would like the topic to be displayed.';
catalog['The orthogonal complement of the nullspace and left nullspace.'] = 'The orthogonal complement of the nullspace and left nullspace.';
catalog['The owner of an organization cannot be removed.'] = 'The owner of an organization cannot be removed.';
catalog['The pKa and pKb relationship between conjugate acids and bases (both of which are weak).'] = 'Die Beziehung von pKa und pKb zwischen konjugierten schwachen S\u00e4uren und Basen.';
catalog['The pain and mechanics of leaving the Euro'] = 'The pain and mechanics of leaving the Euro';
catalog['The password reset link was invalid, possibly because it has already been used.  Please request a new password reset.'] = 'The password reset link was invalid, possibly because it has already been used.  Please request a new password reset.';
catalog['The passwords didn\'t match. Please re-enter the passwords.'] = 'The passwords didn\'t match. Please re-enter the passwords.';
catalog['The passwords do not match. Please try again.'] = 'The passwords do not match. Please try again.';
catalog['The perfect cipher'] = 'Die perfekte Chiffre';
catalog['The perfect logicians are at it again.'] = 'Die perfekte Logiker sind wieder da.';
catalog['The periodic table - classification of elements'] = 'The periodic table - classification of elements';
catalog['The periodic table - transition metals'] = 'The periodic table - transition metals';
catalog['The periodic table - valence electrons'] = 'The periodic table - valence electrons';
catalog['The phases of Meiosis.'] = 'Die meiotischen Phasen.';
catalog['The phototransduction cascade'] = 'The phototransduction cascade';
catalog['The plants & the bees: Plant reproduction'] = 'Die Bienen & Bl\u00fcmchen: Vermehrung der Pflanzen';
catalog['The poop really started to hit the fan in the fall of 2008.  When the new administration took office in early 2009, the poop was still there.  This is tutorial explains an attempt--probably not a well thought out one--to clean the poop and slow the fan.\n\nVideos on the Geithner Plan to solve the continuing banking crisis in early 2009.'] = 'The poop really started to hit the fan in the fall of 2008.  When the new administration took office in early 2009, the poop was still there.  This is tutorial explains an attempt--probably not a well thought out one--to clean the poop and slow the fan.\n\nVideos on the Geithner Plan to solve the continuing banking crisis in early 2009.';
catalog['The postwar figure'] = 'The postwar figure';
catalog['The primary tool that we\'ve had to find the length of a side of a triangle given the other two sides has been the Pythagorean theorem, but that only applies to right triangles.  In this tutorial, we\'ll extend this triangle-side-length toolkit with the law of cosines and the law of sines.  Using these tool, given information about side lengths and angles, we can figure out things about even non-right triangles that you may have thought weren\'t even possible!'] = 'Das prim\u00e4re Werkzeug, das wir bisher hatten, um die L\u00e4nge einer Seite eines Dreiecks herauszufinden wenn wir die zwei anderen Seiten bereits kennen, war der Satz des Pythagoras. Aber der gilt nur f\u00fcr rechtwinkelige Dreiecke.  In diesem Tutorial erweitern wir dieses Toolkit f\u00fcr Dreiecksseitenl\u00e4ngen um das Gesetz von Cosinus und das Gesetz von Sinus.  Mit diesen Tool k\u00f6nnen wir auch f\u00fcr nicht-rechtwinklige Dreiecke bei gegebenen Seitenl\u00e4ngen und Winkeln Dinge herausfinden, die du vielleicht bisher gar nicht f\u00fcr m\u00f6glich gehalten hast!';
catalog['The prime number theorem'] = 'Primzahlsatz';
catalog['The probability of getting exactly 2 heads when flipping three coins.  Thinking about this by visualy depicting all of the outcomes.'] = 'Die Wahrscheinlichkeit  genau 2 Mal Kopf zu erhalten, wenn mann drei M\u00fcnzen wirft.  Nachdenken dar\u00fcber mit bildlichen Darstellungen aller Ergebnisse.';
catalog['The probability of picking a yellow marble from a bag.'] = 'Die Wahrscheinlichkeit eine gelbe Murmel aus einem Beutel zu nehmen.';
catalog['The probability that at least 2 people in a room of 30 share the same birthday.'] = 'Die Wahrscheinlichkeit dass mindestens 2 Leute in einem Raum mit 30 Leuten den gleichen Geburtstag haben.';
catalog['The product rule.  Examples using the Product and Chain rules.'] = 'Die Produktregel. Beispiel f\u00fcr die Anwendung der Produkt- und Kettenregel.';
catalog['The pulmonary system including the lungs, larynx, trachea, bronchi, bronchioles, alveoli and thoracic diaphragm'] = 'The pulmonary system including the lungs, larynx, trachea, bronchi, bronchioles, alveoli and thoracic diaphragm';
catalog['The quadratic formula (quadratic equation)'] = 'Die Mitternachtsformel (quadratische Gleichung)';
catalog['The rationale for targeting interest rates instead of directly having a money supply target.'] = 'The rationale for targeting interest rates instead of directly having a money supply target.';
catalog['The real world is seldom about whole numbers.  If you precisely measure anything, you\'re likely to get a decimal.  If you don\'t know how to multiply these decimals, then you won\'t be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.).'] = 'In der Realit\u00e4t geht es selten um ganze Zahlen. Wenn du etwas ganz genau mi\u00dft, dann wirst du h\u00f6chstwahrscheinlich eine Dezimalzahl messen. Wenn du nicht wei\u00dft, wie du solche Zahlen multiplizierst, dann kannst du all diese wichtigen Dinge nicht tun, f\u00fcr die wir die Multiplikation in der Welt brauchen (also deine Provision als Verk\u00e4ufer ausrechnen, oder zu berechnen, wieviel Teppich du f\u00fcr dein geheimes Versteck brauchst, usw.).';
catalog['The real world is seldom about whole numbers. If you precisely measure anything, you\'re likely to get a decimal. If you don\'t know how to multiply these decimals, then you won\'t be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.).\n\nCommon Core Standards: 5.NBT.B.5, 5.NBT.B.7'] = 'In der Realit\u00e4t geht es selten um ganze Zahlen. Wenn du etwas ganz genau mi\u00dft, dann wirst du h\u00f6chstwahrscheinlich eine Dezimalzahl messen. Wenn du nicht wei\u00dft, wie du solche Zahlen multiplizierst, dann kannst du all diese wichtigen Dinge nicht tun, f\u00fcr die wir die Multiplikation in der Welt brauchen (also deine Provision als Verk\u00e4ufer ausrechnen, oder zu berechnen, wieviel Teppich du f\u00fcr dein geheimes Versteck brauchst, usw.)';
catalog['The reproductive system: How gonads go'] = 'Der Fortpflanzungsapparat: wie Keimdr\u00fcsen funktionieren';
catalog['The respiratory center'] = 'The respiratory center';
catalog['The rise of Napoleon Bonaparte'] = 'Der Aufstieg von Napoleon Bonaparte';
catalog['The role of the sarcoplasmic reticulum in controlling calcium ion concentrations within the muscle cell.'] = 'The role of the sarcoplasmic reticulum in controlling calcium ion concentrations within the muscle cell.';
catalog['The rule of 72 for compound interest'] = 'The rule of 72 for compound interest';
catalog['The same side not corresponding to itself in two similar triangles'] = 'The same side not corresponding to itself in two similar triangles';
catalog['The science of taxonomy and where humans fit into the tree of life'] = 'Die Wissenschaft der Taxonomie und der Einordnung des Menschen in den Stammbaum der Lebewesen';
catalog['The second derivative test for extrema'] = 'The second derivative test for extrema';
catalog['The second part to the complicated problem.  We figure out the tension in the wire connecting the two masses.  Then we figure our how much we need to accelerate a pie for it to safely reach a  man\'s face.'] = 'The second part to the complicated problem.  We figure out the tension in the wire connecting the two masses.  Then we figure our how much we need to accelerate a pie for it to safely reach a  man\'s face.';
catalog['The sex lives of nonvascular plants'] = 'Das Sexualleben nonvascularer Pflanzen';
catalog['The simple idea that a number plus its negative is 0'] = 'Die einfache Idee, dass eine Zahl plus ihr negativer Wert 0 ergibt';
catalog['The skeletal system: It\'s ALIVE!'] = 'Das Skelett: Es LEBT!';
catalog['The skill of describing'] = 'The skill of describing';
catalog['The specified username is unavailable. Please choose a new username and try again.'] = 'The specified username is unavailable. Please choose a new username and try again.';
catalog['The square root'] = 'Die Quadratwurzel';
catalog['The structure of a medieval manuscript'] = 'The structure of a medieval manuscript';
catalog['The structure of the eye'] = 'The structure of the eye';
catalog['The study of big history inevitably leads to the future. So what\u2019s next? Join some of the world\u2019s great thinkers to try to predict the next threshold.'] = 'The study of big history inevitably leads to the future. So what\u2019s next? Join some of the world\u2019s great thinkers to try to predict the next threshold.';
catalog['The stupa'] = 'The stupa';
catalog['The substitution method'] = 'Die Substitutionsmethode';
catalog['The supply curve'] = 'Die Angebots-Kurve';
catalog['The three brightest planets in this month\'s night sky are lining up for a beautiful sunset conjunction at the end of May.&nbsp;&nbsp; <br>'] = 'The three brightest planets in this month\'s night sky are lining up for a beautiful sunset conjunction at the end of May.&nbsp;&nbsp; <br>';
catalog['The title says it all...'] = 'Der Titel sagt alles...';
catalog['The topic that is now known as "calculus" was really called "the calculus of differentials" when first devised by Newton (and Leibniz) roughly four hundred years ago.  To Newton, differentials were infinitely small "changes" in numbers that previous mathematics didn\'t know what to do with.  Think this has no relevence to you?  Well how would you figure out how fast something is going *right* at this moment (you\'d have to figure out the very, very small change in distance over an infinitely small change in time)?  This tutorial gives a gentle introduction to the world of Newton and Leibniz.'] = 'Das Thema, das heute als "Analysis" bekannt ist, wurde tats\u00e4chlich "die Berechnung von Differentialen" bei der urspr\u00fcnglichen Entwicklung von Newton (und Leibniz) vor etwa vierhundert Jahren genannt. F\u00fcr Newton waren Differentiale unendlich kleine "Ver\u00e4nderungen" in Zahlen, mit denen die vorherige Mathematik nichts anfangen konnte. Denkst du, dass dies keine Relevanz f\u00fcr dich hat?  Gut, wie willst du herausfinden, wie schnell sich etwas im Moment nach *rechts* bewegt (du m\u00fcsstest, die sehr, sehr kleine \u00c4nderung in der Distanz \u00fcber eine unendlich kleine \u00c4nderung in der Zeit herauszufinden)?  Dieses Tutorial liefert eine behutsame Einf\u00fchrung in die Welt von Newton und Leibniz.';
catalog['The triangle inequality theorem is, on some level, kind of simple.  But, as you\'ll see as you go into high level mathematics, it is often used in fancy proofs.\n\nThis tutorial introduces you to what it is and gives you some practice understanding the constraints on the dimensions of a triangle.'] = 'Die Dreiecksungleichung ist, bis zu einem gewissen Grad, recht einfach. Allerdings wird es in vielen ausgefallenen Beweisen benutzt, wie du sehen wirst, wenn du dich mit der h\u00f6heren Mathematik besh\u00e4ftigst.\n\nDieses Tutorial stellt dir diese Ungleichung vor und gibt dir ein wenig \u00dcbung darin, die Begrenzungen der Dimensionen eines Dreiecks zu verstehen.';
catalog['The tutorials in this topic will take you on sweeping journeys through time so that you can get the really BIG picture for how things fit together.'] = 'The tutorials in this topic will take you on sweeping journeys through time so that you can get the really BIG picture for how things fit together.';
catalog['The two password fields didn\'t match.'] = 'Die zwei Passwort-Felder stimmen nicht \u00fcberein.';
catalog['The union, complement, and intersection of sets.'] = 'Die Vereinigungsmenge, Komplement und Schnittmenge.';
catalog['The unit circle definition allows us to define sine and cosine over all real numbers.  Doesn\'t that make you curious what the graphs might look like?  Well this tutorial will scratch that itch (and maybe a few others).  Have fun.'] = 'Die Definition mit dem Einheitskreis erlaubt es uns den Sinus und Cosinus f\u00fcr alle reellen Zahlen zu definieren. Wunderst du dich, wie dann die Graphen aussehen k\u00f6nnten? Dieses Tutorial wird deine Neugier befriedigen. Viel Spa\u00df dabei!';
catalog['The value of a currency is constantly changing (usually going down in terms of what you can buy).  Given this, how can we compare GDP measured in dollars in one year to another year? This tutorial answers that question by introducing you to real GDP and GDP deflators.'] = 'The value of a currency is constantly changing (usually going down in terms of what you can buy).  Given this, how can we compare GDP measured in dollars in one year to another year? This tutorial answers that question by introducing you to real GDP and GDP deflators.';
catalog['The video covers the first stages of idea generation for Bit-zee and how to make Bit-zee move.'] = 'The video covers the first stages of idea generation for Bit-zee and how to make Bit-zee move.';
catalog['The virtuous circle of housing price appreciation making defaults go down making lending lax making housing appreciate even more'] = 'The virtuous circle of housing price appreciation making defaults go down making lending lax making housing appreciate even more';
catalog['The vocabulary of DNA: chromosomes, chromatids, chromatin, transcription, translation, and replication'] = 'Das Vokabular der DNA: Chromosomen, Chromatiden, Chromatin, Transkription, Translation und Replikation';
catalog['The volume of y=sqrt(x) between x=0 and x=1 rotated around x-axis'] = 'The volume of y=sqrt(x) between x=0 and x=1 rotated around x-axis';
catalog['The wet collodion photographic process produced a glass negative and a beautifully detailed print that was preferred over earlier techniques. This method thrived from the 1850s until about 1880. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'The wet collodion photographic process produced a glass negative and a beautifully detailed print that was preferred over earlier techniques. This method thrived from the 1850s until about 1880. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['The wet collodion process'] = 'The wet collodion process';
catalog['The why of algebra'] = 'Das warum zu Algebra';
catalog['The why of the 3 divisibility rule'] = 'Wieso gilt die Teilbarkeitsregel f\u00fcr 3';
catalog['The why of the 9 divisibility rule'] = 'Warum gilt die Teilbarkeitsregel f\u00fcr 9';
catalog['The word "Fascist" is now a pejorative term ("pejorative" means "negative" or "derogatory") to describe leaders or states that have absolute control and are aggressively nationalistic.\n\nThe terms "fascism" and "fascist", however, were first embraced by Benito Mussolini in Italy in the 1920s and 1930s to describe their party and policies (that were absolutist and aggressively nationalistic).  \n\nThis tutorial described Mussolini and the Fascists\' rapid rise to power and the influence it had on the rest of the world (including providing a model for Hitler in Germany).'] = 'The word "Fascist" is now a pejorative term ("pejorative" means "negative" or "derogatory") to describe leaders or states that have absolute control and are aggressively nationalistic.\n\nThe terms "fascism" and "fascist", however, were first embraced by Benito Mussolini in Italy in the 1920s and 1930s to describe their party and policies (that were absolutist and aggressively nationalistic).  \n\nThis tutorial described Mussolini and the Fascists\' rapid rise to power and the influence it had on the rest of the world (including providing a model for Hitler in Germany).';
catalog['The work of van Gogh, Gauguin, C\u00e9zanne and Seurat together constitute Post-Impressionism and yet their work is so varied and unrelated, we might never otherwise think of these four artists as a group. Certainly van Gogh and Gauguin were friends and they briefly painted together, but each of these artists was concerned with solving particular issues that had to do with their own individual sensibility. Ironically, if anything ties these artists together it is this focus on subjectivity. This tutorial explores the sketchy multiperspectival views of C\u00e9zanne, Seurat\u2019s systematized critiques of upper middle-class Paris, Gauguin\u2019s fascination with the primitive and exotic, and van Gogh\u2019s unerring ability to convey deeply human experiences.'] = 'The work of van Gogh, Gauguin, C\u00e9zanne and Seurat together constitute Post-Impressionism and yet their work is so varied and unrelated, we might never otherwise think of these four artists as a group. Certainly van Gogh and Gauguin were friends and they briefly painted together, but each of these artists was concerned with solving particular issues that had to do with their own individual sensibility. Ironically, if anything ties these artists together it is this focus on subjectivity. This tutorial explores the sketchy multiperspectival views of C\u00e9zanne, Seurat\u2019s systematized critiques of upper middle-class Paris, Gauguin\u2019s fascination with the primitive and exotic, and van Gogh\u2019s unerring ability to convey deeply human experiences.';
catalog['The world of exponents'] = 'Die Welt der Exponenten';
catalog['The world of numbers can be split up into multiple "sets", many of which overlap with each other (integers, rational numbers, irrational numbers, etc.).  This tutorial works through examples that expose you to the terminology of the various sets and how you can differentiate them.'] = 'Die Welt der Zahlen kann aufgeteilt werden in mehrere "Sets ", von denen sich viele \u00fcberlappen (ganze Zahlen, rationale Zahlen, irrationale Zahlen, etc.).  Dieses Tutorial arbeitet mit Beispielen, in denen Sie mit der Terminologie vertraut gemacht werden und wie Sie sie unterscheiden k\u00f6nnen.';
catalog['The world seldom gives you two numbers and tells you which operation to perform.  More likely, you\'ll be presented with a bunch of information and you (yes, YOU) need to make sense of them.  This tutorial gives you practice doing exactly that.  When watching videos, pause and attempt it before Sal.  Then work on as many problems as you want in the exercise at the end of the tutorial.'] = 'Die reale Welt liefert selten zwei Zahlen und sagt Ihnen, welche Rechenaufgabe ausgef\u00fchrt werden muss.  Wahrscheinlicher ist, dass Sie ein paar Informationen erhalten und Sie  (ja, SIE) m\u00fcssen etwas Sinnvolles damit machen.  Dieses Tutorial vermittelt Ihnen die Praxis, genau das zu tun.  Beim Anschauen der Videos halten Sie an und versuchen Sie es vor der Aufl\u00f6sung.  Dann bearbeiten Sie so viele Probleme in der \u00dcbung am Ende des Tutorials wie Sie wollen.';
catalog['The wrong exercise'] = 'Die falsche \u00dcbung';
catalog['The yield curve'] = 'The yield curve';
catalog['The young Earth was a dangerous and unfriendly place. Deep in the oceans, though, conditions were perfect for the emergence of life. '] = 'The young Earth was a dangerous and unfriendly place. Deep in the oceans, though, conditions were perfect for the emergence of life. ';
catalog['Theatrical and staged elements have been a key feature of visual art throughout the 20th century. Movements like Futurism, Dada, and Bauhaus employed theater, dance, music, and poetry with live or broadcast performances to engage with audiences. In the 1960s and 1970s, performance gained renewed momentum when artists conceived of Happenings, Fluxus, "actions," experimental dance, and site-specific interventions. \n\nThroughout its history MoMA has been host to many artworks involving live and performative elements. While most of these activities previously took place at the periphery of MoMA\'s exhibition program, the 2008 addition of "and Performance Art" to what was then called the Department of Media introduced performance art as a central component in the Museum\'s programming.'] = 'Theatrical and staged elements have been a key feature of visual art throughout the 20th century. Movements like Futurism, Dada, and Bauhaus employed theater, dance, music, and poetry with live or broadcast performances to engage with audiences. In the 1960s and 1970s, performance gained renewed momentum when artists conceived of Happenings, Fluxus, "actions," experimental dance, and site-specific interventions. \n\nThroughout its history MoMA has been host to many artworks involving live and performative elements. While most of these activities previously took place at the periphery of MoMA\'s exhibition program, the 2008 addition of "and Performance Art" to what was then called the Department of Media introduced performance art as a central component in the Museum\'s programming.';
catalog['Theodor Herzl and the birth of political Zionism'] = 'Theodor Herzl und die Geburt des politischen Zionismus';
catalog['Theories of Emotion'] = 'Theories of Emotion';
catalog['Theories of language and cognition'] = 'Theories of language and cognition';
catalog['Theories of language development: Nativist, learning, interactionist'] = 'Theories of language development: Nativist, learning, interactionist';
catalog['Theories of personality - Passage 1'] = 'Theories of personality - Passage 1';
catalog['Theories of personality - Passage 2'] = 'Theories of personality - Passage 2';
catalog['Theories of personality'] = 'Theories of personality';
catalog['Theories of selective attention'] = 'Theories of selective attention';
catalog['There are a number of ways that we can help to prevent TB from spreading, learn some of the most common ones.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'There are a number of ways that we can help to prevent TB from spreading, learn some of the most common ones.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['There are currently no facilities available, please ask an administrator or teacher to set one up.'] = 'Derzeit stehen keine Einrichtungen zur Verf\u00fcgung.  Bitte einen Verwalter oder Lehrer diese einzurichten.';
catalog['There are literally infinite ways to represent any fraction (or number for that matter).  Don\'t believe us?  Let\'s take 1/3.  2/6, 3/9, 4/12 ... 10001/30003 are all equivalent fractions (and we could keep going)!  \n\nIf you know the basics of what a fraction is, this is a great tutorial for recognizing when fractions are equivalent and then simplifying them as much as possible!'] = 'Es gibt buchst\u00e4blich unendlich viele M\u00f6glichkeiten, jeden Bruch (oder auch jede Zahl) darzustellen.  Glaubst du uns nicht?  Nimm 1/3.  2/6, 3/9, 4/12... 10001/30003, das sind alles gleichwertige Br\u00fcche (und wir k\u00f6nnten da beliebig weitermachen)!  \n\nIf Wenn du wei\u00dft, was ein Bruch ist, dann ist dies ein gro\u00dfartiges Tutorial f\u00fcr das Erkennen von gleichwertigen Br\u00fcchen und das Vereinfachen dieser Br\u00fcche!';
catalog['There are literally infinite ways to represent any fraction (or number for that matter).  Don\'t believe us?  Let\'s take 1/3.  2/6, 3/9, 4/12 ... 10001/30003 are all equivalent fractions (and we could keep going)!  \n\nIf you know the basics of what a fraction is, this is a great tutorial for recognizing when fractions are equivalent and then simplifying them as much as possible!\n\nCommon Core Standards: 3.NF.A.3, 3.NF.A.3a, 3.NF.A.3b, 3.NF.A.3c\t, 3.NF.A.3d'] = 'Es gibt buchst\u00e4blich unendlich viele M\u00f6glichkeiten, jeden Bruch (oder auch jede Zahl) darzustellen.  Glaubst du uns nicht?  Nimm 1/3.  2/6, 3/9, 4/12... 10001/30003, das sind alles gleichwertige Br\u00fcche (und wir k\u00f6nnten da beliebig weitermachen)!  \n\nWenn du wei\u00dft, was ein Bruch ist, dann ist dies ein gro\u00dfartiges Tutorial f\u00fcr das Erkennen von gleichwertigen Br\u00fcchen und das Vereinfachen dieser Br\u00fcche so weit es m\u00f6glich ist!\n\nCommon Core Standards: 3.NF.A.3, 3.NF.A.3a, 3.NF.A.3b, 3.NF.A.3c\t, 3.NF.A.3d';
catalog['There are many ways to graph a line and this tutorial covers one of the simpler ones.  Since you only need two points for a line, let\'s find what value an equation takes on when x = 0 (essentially the y-intercept) and what value it takes on when y = 0 (the x-intercept).  Then we can graph the line by going through those two points.'] = 'Es gibt viele M\u00f6glichkeiten eine Linie zu zeichnen und dieses Tutorial zeigt dir eine der Einfacheren. Da du f\u00fcr eine Linie nur zwei Punkte brauchst, lass uns herausfinden, welchen Wert die Funktion annimmt, wenn x=0 (also ihr Y-Achsen-Abschnitt) und welchen Wert sie annimmt, wenn y=0 (der X-Achsen-Abschnitt). Dann k\u00f6nnen wir die Linie durch diese zwei Punkte zeichnen.';
catalog['There are some really fun math problems in this section. Seriously. It all begins on pg. 60 in the downloadable SAT.\n\nWant even more math practice? Check out sections 2 and 8 and the SAT Math practice topic.'] = 'There are some really fun math problems in this section. Seriously. It all begins on pg. 60 in the downloadable SAT.\n\nWant even more math practice? Check out sections 2 and 8 and the SAT Math practice topic.';
catalog['There are three major conventions for measuring temperature in the world, Farenheit, Celsius and Kelvin.  If converting between the three gives you cold feet, then this tutorial might warm them up.'] = 'Es auf der Welt gibt drei haupts\u00e4chlich genutzte M\u00f6glichkeiten um die Temperatur zu messen: Farenheit, Celsius und Kelvin. Wenn dir bei der Umwandlung zwischen den Dreien ein kalter Schauer \u00fcber den R\u00fccken l\u00e4uft, wird dich diese \u00dcbung wieder aufw\u00e4rmen.';
catalog['There is a strong temptation in life to appear precise, even when you are aren\'t accurate.   If you  precisely measure one dimension of a carpet to be 3.256 meters and eyeball the other dimensional to be "roughly 2 meters", can you really claim that the area is  6.512 square meters (3.256 x 2)?  Isn\'t that a little misleading?  \n\nThis tutorial gets us thinking about this conundrum and gives us the best practices that scientists and engineers use to not mislead each other.'] = 'Es gibt eine starke Versuchung im Leben genau zu erscheinen, auch wenn Sie nicht korrekt sind.   Wenn Sie genau eine Richtung eines Teppichs zu 3,256 Meter messen und die andere mit Augenma\u00df auf etwa "2 Meter" sch\u00e4tzen, k\u00f6nnen Sie dann wirklich behaupten, dass die Fl\u00e4che 6,512 Quadratmeter (3.256 x 2) ist?  Nicht wahr, dass ist ein wenig irref\u00fchrend?  \n\nDies Tutorial l\u00e4\u00dft uns \u00fcber dieses Problem nachdenken und liefert uns die besten Methoden, damit Wissenschaftler und Ingenieure sich nicht gegenseitig in die Irre f\u00fchren.';
catalog['There is internet access within reasonable transportation distance, so the server in this school can be taken and connected occasionally'] = 'There is internet access within reasonable transportation distance, so the server in this school can be taken and connected occasionally';
catalog['There is much more to light than meets the eye. Introduction to the electromagnetic spectrum and the science of spectroscopy.'] = 'There is much more to light than meets the eye. Introduction to the electromagnetic spectrum and the science of spectroscopy.';
catalog['There was an error logging you in. Please correct any errors listed below, and try again.'] = 'Bei den Versuch einzuloggen gab einen Fehler, bitte eventuelle unten aufgef\u00fchrten Fehler korrigieren und nochmals versuchen.';
catalog['Thermo can'] = 'Thermo can';
catalog['Thermodynamic entropy definition clarification'] = 'Thermodynamic entropy definition clarification';
catalog['Thermodynamics (part 1)'] = 'Thermodynamik (Teil 1)';
catalog['Thermodynamics (part 2)'] = 'Thermodynamik (Teil 2)';
catalog['Thermodynamics (part 3)'] = 'Thermodynamik (Teil 3)';
catalog['Thermodynamics (part 4)'] = 'Thermodynamik (Teil 4)';
catalog['Thermodynamics (part 5)'] = 'Thermodynamik (Teil 5)';
catalog['Thermodynamics vs kinetics'] = 'Thermodynamics vs kinetics';
catalog['Thermodynamics'] = 'Thermodynamik';
catalog['Thermoregulation by muscles'] = 'Thermoregulation by muscles';
catalog['These are some of the classic, original angle video that Sal had done way back when (like 2007).  Other tutorials are more polished than this one, but this one has charm.  Also not bad if you\'re looking for more examples of angles between intersected lines, transversals and parallel lines.'] = 'Dies sind einige der klassischen, Originalvideos \u00fcber Winkel, die Sal damals aufgenommen hat (so gegen 2007). Andere Tutorials sind zwar polierter als dieses. Aber daf\u00fcr hat es mehr Charm. Ebenfalls nicht schlecht, falls du auf der Suche nach mehr Beispielen zu Winkeln zwischen sich schneidenden, parallelen und transversen Geraden bist.';
catalog['These exercises review the most fundamental ideas of what equations mean and how to solve them.'] = 'Diese \u00dcbungen wiederholen die fundamentalsten Ideen \u00fcber was Gleichungen bedeuten und wie man sie l\u00f6st.';
catalog['These oldie-but-maybe-goodies are the original function videos that Sal made years ago for his cousins.  Despite the messy handwriting, some people claim that they like these better than the new ones (they claim that there is a certain charm to them).  We\'ll let you decide.'] = 'Dies sind die alten, aber vielleicht guten Originalvideos, die Sal vor Jahren f\u00fcr seine Cousins gemacht hat. Trotz ihrer unordentlichen Handschrift behaupten einige Leuten, dass sie diese Videos besser finden als die neuen. (Sie behaupten, dass sie einen gewissen Charme haben.) Wir lassen dich selbst entscheiden.';
catalog['These questions focus on works of art from across the different periods of the middle ages.'] = 'These questions focus on works of art from across the different periods of the middle ages.';
catalog['These topics have moved!'] = 'These topics have moved!';
catalog['These videos may look similar (pun-intended) to videos in another playlist but they are older, rougher and arguably more charming.  These are some of the original videos that Sal made on similarity.  They are less formal than those in the "other" similarity tutorial, but, who knows, you might like them more.'] = 'Diese Videos k\u00f6nnten dir recht \u00e4hnlich (kein Wortspiel) vorkommen, verglichen mit den Videos in anderen Playlisten. Allerdings sind diese hier \u00e4lter, gr\u00f6ber und wohl auch charmanter. Dies sind einige der Originalvideos, die Sal zu \u00c4hnlichkeit gemacht hat. Sie sind weniger formal als die Videos in anderen Tutorials. Aber wer wei\u00df, vielleicht magst du sie ja mehr.';
catalog['Thiago asks: How much time does a goalkeeper have to react to a penalty kick?'] = 'Thiago fragt: Wie viel Zeit hat der Tormann, um bei einem Elfmeter zu reagieren?';
catalog['Thin layer chromatography (TLC)'] = 'D\u00fcnnschichtchromatographie (TLC)';
catalog['Things in our universe can be unimaginably large and small.  In this topic, we\'ll try to imagine the unimaginable!'] = 'In unserem Universum gibt es unvorstellbar gro\u00dfe und unvorstellbar kleine Dinge. In diesem Themenbereich versuchen wir uns das Unvorstellbare vorzustellen!';
catalog['Think through the result of getting a new heart, and how the heart can still maintain homeostasis when the nerves are no longer around.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Think through the result of getting a new heart, and how the heart can still maintain homeostasis when the nerves are no longer around.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Thinking about a consumption function where taxes are also a function of income (which is more realistic than constant taxes)'] = 'Thinking about a consumption function where taxes are also a function of income (which is more realistic than constant taxes)';
catalog['Thinking about a demand curve in terms of quantity driving price'] = 'Thinking about a demand curve in terms of quantity driving price';
catalog['Thinking about a rational quantity of juice to produce'] = 'Dar\u00fcber nachdenken wieviel Saft man rational produzieren sollte';
catalog['Thinking about average fixed, variable and marginal cost'] = 'Thinking about average fixed, variable and marginal cost';
catalog['Thinking about different markets that are in-between monopolies and perfect competition'] = 'Thinking about different markets that are in-between monopolies and perfect competition';
catalog['Thinking about dilations'] = 'Thinking about dilations';
catalog['Thinking about elasticity of supply'] = '\u00dcber die Elastizit\u00e4t des Angebots nachdenken';
catalog['Thinking about energy consumption for tilling land'] = 'Thinking about energy consumption for tilling land';
catalog['Thinking about forms of derivatives in multi-dimensions and for vector-valued functions:  partial derivatives, gradient, divergence and curl.'] = '\u00dcberlegungen zur Ableitung mehrdimensionaler Funktionen und f\u00fcr Vektorfunktionen: partielle Ableitung, Gradient, Divergenz und Rotation.';
catalog['Thinking about heartbeats'] = 'Thinking about heartbeats';
catalog['Thinking about how different types of expenditures would be accounted for in GDP'] = 'Thinking about how different types of expenditures would be accounted for in GDP';
catalog['Thinking about how hedge funds are different from other institutions'] = 'Thinking about how hedge funds are different from other institutions';
catalog['Thinking about how high utilization could drive price as another justification for an upward sloping short-run aggregate supply curve'] = 'Thinking about how high utilization could drive price as another justification for an upward sloping short-run aggregate supply curve';
catalog['Thinking about how many people it makes sense to hire.  Brief discussion of a monopsony.'] = 'Thinking about how many people it makes sense to hire.  Brief discussion of a monopsony.';
catalog['Thinking about how many ways we can construct a hand of 9 cards'] = 'Thinking about how many ways we can construct a hand of 9 cards';
catalog['Thinking about how many ways you can pick four colors from a group of 6'] = '\u00dcberlegen, wie viele M\u00f6glichkeiten du hast, vier Farben aus einer Gruppe von 6 auszuw\u00e4hlen';
catalog['Thinking about how much incremental benefit a firm gets from hiring one more person'] = 'Thinking about how much incremental benefit a firm gets from hiring one more person';
catalog['Thinking about how real GDP can drive real interest rates'] = 'Thinking about how real GDP can drive real interest rates';
catalog['Thinking about how the probability of an event can be dependent on another event occuring.'] = '\u00dcberlegen, wie die Wahrscheinlichkeit eines Ereignisses abh\u00e4ngig ist von einem anderen Ereignis, das auftreten kann.';
catalog['Thinking about how to solve for an unknown mystery mass'] = '\u00dcberlegungen, wie man eine unbekannte Masse ermitteln kann';
catalog['Thinking about how total revenue and elasticity are related'] = 'Thinking about how total revenue and elasticity are related';
catalog['Thinking about how we can estimate the variance of a population by looking at the data in a sample.'] = 'Wir denken dar\u00fcber nach, wie man die Streuung einer Grundgesamtheit aus den Daten einer Stichprobe absch\u00e4tzen kann.';
catalog['Thinking about how we get Calories from the land limits human population densities'] = 'Thinking about how we get Calories from the land limits human population densities';
catalog['Thinking about interest as the price of money.  Looking at money from a supply and demand perspective'] = 'Thinking about interest as the price of money.  Looking at money from a supply and demand perspective';
catalog['Thinking about making things rotate.  Center of mass, torque, moments and angular velocity.'] = 'Wie man Gegenst\u00e4nde rotieren l\u00e4\u00dft. Der Schwerpunkt, das Drehmoment, Momente und Winkelgeschwinidgkeit.';
catalog['Thinking about multiple solutions to a system of equations'] = 'Nachdenken \u00fcber mehrere L\u00f6sungen f\u00fcr ein System von Gleichungen';
catalog['Thinking about pensions, defined benefit plans, defined contribution plans and how pensions tend to get underfunded'] = 'Thinking about pensions, defined benefit plans, defined contribution plans and how pensions tend to get underfunded';
catalog['Thinking about reasonable units to describe a rate'] = 'Angemessene Einheiten f\u00fcr eine Rate';
catalog['Thinking about slope and units'] = 'Nachdenken \u00fcber Steigung und Einheiten';
catalog['Thinking about solutions to systems'] = 'Nachdenken \u00fcber L\u00f6sungen f\u00fcr Systeme';
catalog['Thinking about solving equations'] = 'Gedanken \u00fcber das L\u00f6sen von Gleichungen';
catalog['Thinking about the coefficients of static and kinetic friction'] = 'Thinking about the coefficients of static and kinetic friction';
catalog['Thinking about the different ways we can pick officers in order to find the probability of one situation in particular.'] = 'Thinking about the different ways we can pick officers in order to find the probability of one situation in particular.';
catalog['Thinking about the distance between a point and a line.  Proof that a point on an angle bisector is equidistant to the sides of the angle and a point equidistant to the sides is on an angle bisector'] = 'Thinking about the distance between a point and a line.  Proof that a point on an angle bisector is equidistant to the sides of the angle and a point equidistant to the sides is on an angle bisector';
catalog['Thinking about the domain of the expression to determine if we need the absolute value sign'] = 'Nachdenken \u00fcber den Wertebereich des Ausdrucks, um festzustellen, ob wir das Absolutwert-Zeichen ben\u00f6tigen';
catalog['Thinking about the number line'] = 'Gedanken \u00fcber die Zahlengerade';
catalog['Thinking about the probability of rolling doubles on a pair of dice'] = 'Nachdenken \u00fcber die Wahrscheinlichkeit mit zwei W\u00fcrfeln ein gleiches Augenpaar zu w\u00fcrfeln';
catalog['Thinking about what happens when you have complex or repeated roots for your characteristic equation.'] = 'Denken Sie daran, was passiert, wenn Sie komplexe oder wiederholte Wurzeln f\u00fcr Ihre charakteristische Gleichung haben.';
catalog['Thinking about what is true about how unbalanced forces relate to motion and acceleration'] = 'Thinking about what is true about how unbalanced forces relate to motion and acceleration';
catalog['Thinking about what moves oil prices'] = 'Thinking about what moves oil prices';
catalog['Thinking about what we need to know whether two triangles are similar'] = 'Was m\u00fcssen wir wissen, um festzustellen, ob zwei Dreiecke \u00e4hnlich sind';
catalog['Thinking about what would happen with one airline.  The opposite of perfect competition'] = 'Dar\u00fcber nachdenken was passieren w\u00fcrde wenn es nur eine Fluggesellschaft geben w\u00fcrde. Das Gegenteil von perfektem Wettbewerb';
catalog['Thinking about when oligopolies behave more like monopolies or perfect competitors'] = 'Thinking about when oligopolies behave more like monopolies or perfect competitors';
catalog['Thinking about where the graphs of sin and cos intersect.'] = 'Dar\u00fcber nachdenken, wo sich die Graphen von sin und cos schneiden.';
catalog['Thinking about whether an expression is positive or negative'] = '\u00dcberlegen, ob ein Ausdruck positiv oder negativ ist';
catalog['Thinking about whether inflation in the late 1960s is consistent with the AD-AS model'] = 'Thinking about whether inflation in the late 1960s is consistent with the AD-AS model';
catalog['Thinking about whether limited liability or double taxation is fair'] = 'Thinking about whether limited liability or double taxation is fair';
catalog['Thinking about why a severe contango could be bearish'] = 'Thinking about why a severe contango could be bearish';
catalog['Thinking about why aggregate supply may not be influenced by prices in the long-run'] = 'Thinking about why aggregate supply may not be influenced by prices in the long-run';
catalog['Thinking about why backwardation in commodities markets is bullish'] = 'Thinking about why backwardation in commodities markets is bullish';
catalog['Thinking about why dividing by zero is left undefined'] = '\u00dcberlegungen warum Teilen durch Null nicht definiert ist';
catalog['Thinking algebraically about inequalities'] = 'Algebraisch \u00fcber Ungleichheiten nachdenken';
catalog['Thinking critically about multiplication and division'] = 'Kritisches Denken zu Multiplikation und Division';
catalog['Thinking more about negative exponents'] = 'Mehr nachdenken \u00fcber negative Exponenten';
catalog['Thiols and sulfides'] = 'Thiole und Sulfide';
catalog['Third in a series of videos that introduces human prehistory, this video describes how early humans continued to defy the odds and populated the Americas during the last ice age.'] = 'Third in a series of videos that introduces human prehistory, this video describes how early humans continued to defy the odds and populated the Americas during the last ice age.';
catalog['This Thanksgiving, make sure your table isn\'t missing the all-important green bean matherole. Pick your favorite vector field and have at it!\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw'] = 'This Thanksgiving, make sure your table isn\'t missing the all-important green bean matherole. Pick your favorite vector field and have at it!\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw';
catalog['This account has not been activated.'] = 'This account has not been activated.';
catalog['This can only be done on Raspberry Pi systems'] = 'This can only be done on Raspberry Pi systems';
catalog['This collection is being developed for the revised MCAT\u00ae exam that will first be administered in spring 2015. Videos will be added to the collection through fall 2014.  All content in this collection has been created under the direction of the Khan Academy and has been reviewed under the direction of the Association of American Medical Colleges (AAMC).  All materials are categorized according to the pre-health competencies tested by the MCAT\u00b2\u2070\u00b9\u2075 exam; however, the content in this collection is not intended to prescribe a program of study for the MCAT\u00b2\u2070\u00b9\u2075 exam. The content is also included in the Pre-health Collection within MedEdPORTAL\u2019s iCollaborative sponsored by the AAMC: www.mededportal.org/pre-health\n\n*MCAT\u00ae is a program of the AAMC and related trademarks owned by the Association include Medical College Admission Test, MCAT, and MCAT\u00b2\u2070\u00b9\u2075.  For more information about the MCAT exam visit : www.aamc.org/mcat2015'] = 'Diese Sammlung wurde f\u00fcr die \u00fcberarbeitete MCAT\u00ae-Pr\u00fcfung entwickelt, die erstmals im Fr\u00fchjahr 2015 verwendet wird. Videos werden der Sammlung im Herbst 2014 hinzugef\u00fcgt werden.  Alle Inhalte in dieser Sammlung wurden unter der Leitung der Khan Academy erstellt und unter der Leitung von der Association of American Medical Colleges (AAMC) \u00fcberpr\u00fcft. Alle Materialien sind nach den "Pre-Health-Richtlinien" freigegeben und als Lernmaterial f\u00fcr MCAT\u00b2\u2070\u00b9\u2075-Pr\u00fcfung zugelassen, trotzdem ist der Inhalt dieser Sammlung nicht daf\u00fcr vorgesehen, als ausschlie\u00dfliches Lernkonzept f\u00fcr die MCAT\u00b2\u2070\u00b9\u2075 Pr\u00fcfung verwendet zu werden. Der Inhalt ist ebenfalls in der vom der AAMC gesponserten "Pre-health Collection" enthalten, dem MedEdPORTALs iCollaborative http://www.mededportal.org/ Pre-Health\n\n * MCAT\u00ae ist ein eingetragenes Markenzeichen der AAMC. Zu den Markenzeichen der Association geh\u00f6ren unter anderem der Medical College Admission Test, MCAT und MCAT\u00b2\u2070\u00b9\u2075.  Weitere Informationen \u00fcber die MCAT-Pr\u00fcfung: http://www.aamc.org/mcat2015';
catalog['This device has already been registered.'] = 'Dieses Ger\u00e4t wurde bereits registriert.';
catalog['This device has never synced with the central server.'] = 'This device has never synced with the central server.';
catalog['This device is not on any zone.'] = 'This device is not on any zone.';
catalog['This email address is already in use. Please supply a different email address.'] = 'Diese e-Mail-Adresse wird bereits verwendet. Bitte gebe eine andere e-Mail-Adresse an.';
catalog['This email address is already in use.'] = 'Diese e-Mail-Adresse wird bereits verwendet.';
catalog['This group name is reserved. Please choose one without \'ungroup\' in the title.'] = 'This group name is reserved. Please choose one without \'ungroup\' in the title.';
catalog['This is a big one. But look you\'re over half way through this brush up on Arithmetic!  This section is all about understanding how to work with data (like balancing a checkbook and reading an article).'] = 'This is a big one. But look you\'re over half way through this brush up on Arithmetic!  This section is all about understanding how to work with data (like balancing a checkbook and reading an article).';
catalog['This is a first year, high-school level course on Geometry (which is based on Euclid\'s elements).  It revisits many of the basic geometrical concepts studied in earlier courses, but addresses them with more mathematical rigor. There is strong focus on proving theorems and results from basic postulates.'] = 'Das ist ein Einsteiger-Kurs in euklidischer Geometrie. Darin werden viele geometrische Grundlagen und Konzepte aus vorhergehenden Kursen wiederholt, aber diesmal mit gr\u00f6\u00dferer mathematischer Strenge ausgearbeitet. Der Schwerpunkt liegt auf dem Beweis wichtiger Theoreme.';
catalog['This is a follow-up from Being a Plant part 2 ( http://youtu.be/lOIP_Z_-0Hs )'] = 'This is a follow-up from Being a Plant part 2 ( http://youtu.be/lOIP_Z_-0Hs )';
catalog['This is a good introduction to the basic concept of interest.  We will warn you that it is an older video so Sal\'s sound and handwriting weren\'t quite up to snuff then.'] = 'Dieses Video ist eine Einf\u00fchrung zum Thema "Zinsen". ';
catalog['This is a super fun tutorial where we\'ll evaluate expressions that involve functions.  We\'ll add, subtract, multiply and divide them.  We\'ll also do composite functions which involves taking the output of one function to be the input of another one!\n\nAs always, pause the video and try the problem before Sal does!'] = 'Dies ist ein super spa\u00dfiges Tutorial, in dem wir Ausdr\u00fccke auswerten, die Funktionen beinhalten. Wir werden sie addieren, subtrahieren, multiplizieren und dividieren. Au\u00dferdem werden wir ebenso Funktionen erstellen, in denen der Ausgabewert einer Funktion der Eingabewert einer anderen ist!\n\nWie immer, halte das Video gerne an und probiere dich an dem Problem bevor Sal es tut!';
catalog['This is a system of arithmetic for integers. These lessons provide a foundation for the mathematics presented in the Modern Cryptography tutorial.'] = 'Dies ist ein System der Arithmetik ganzer Zahlen. Diese Lektionen liefern die Grundlage f\u00fcr die im Tutorial  Moderne Kryptographie dargestellte Mathematik.';
catalog['This is a transitional period. In the art of Florence and Siena there is a move away from medieval abstract depictions of space and the human body as artists began to focus on the illusion of mass and space and the expression of human emotion. With hindsight, it is possible to trace elements of Renaissance art back to this period. This century saw the creation of the beautiful poetry of Dante and Petrarch, but it is also the century that saw the worst outbreak of the Bubonic plague (known then as the Black Death) which wiped out close to half the population of Europe\u2014a terrifying statistic, difficult to imagine today. This topic focuses on two Italian city-states\u2014Florence and Siena, both proud republics in the 14th century, and the great painters of those city-states, Giotto and Cimabue in Florence, and Duccio, Martini and the Lorenzetti brothers in Siena.'] = 'This is a transitional period. In the art of Florence and Siena there is a move away from medieval abstract depictions of space and the human body as artists began to focus on the illusion of mass and space and the expression of human emotion. With hindsight, it is possible to trace elements of Renaissance art back to this period. This century saw the creation of the beautiful poetry of Dante and Petrarch, but it is also the century that saw the worst outbreak of the Bubonic plague (known then as the Black Death) which wiped out close to half the population of Europe\u2014a terrifying statistic, difficult to imagine today. This topic focuses on two Italian city-states\u2014Florence and Siena, both proud republics in the 14th century, and the great painters of those city-states, Giotto and Cimabue in Florence, and Duccio, Martini and the Lorenzetti brothers in Siena.';
catalog['This is a two part video that introduces the different types of bridges. The bridge types will be introduced in historical order from simple (beam and arch) in the first video to more complex (truss and suspension) in the second video. This will show how bridges evolved as our designs and available materials expanded. The design of each bridge will be shown schematically along with the load distribution. The advantages and limitations of each type will be described. Video of actual bridges around Boston of the different types will be shown with the load distributions overlaid on freeze frames. Other iconic bridges will also be shown as still images with load distributions.  Technical concepts covered will be tension, compression, bending, span, force balances, material selection and beam/cable design. \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions'] = 'This is a two part video that introduces the different types of bridges. The bridge types will be introduced in historical order from simple (beam and arch) in the first video to more complex (truss and suspension) in the second video. This will show how bridges evolved as our designs and available materials expanded. The design of each bridge will be shown schematically along with the load distribution. The advantages and limitations of each type will be described. Video of actual bridges around Boston of the different types will be shown with the load distributions overlaid on freeze frames. Other iconic bridges will also be shown as still images with load distributions.  Technical concepts covered will be tension, compression, bending, span, force balances, material selection and beam/cable design. \n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions';
catalog['This is a two part video that introduces the different types of bridges.'] = 'This is a two part video that introduces the different types of bridges.';
catalog['This is about as many integrals we can use before our brains explode.  Now we can sum variable quantities in three-dimensions (what is the mass of a 3-D wacky object that has variable mass)!'] = 'This is about as many integrals we can use before our brains explode.  Now we can sum variable quantities in three-dimensions (what is the mass of a 3-D wacky object that has variable mass)!';
catalog['This is an old set of videos, but if you put up with Sal\'s messy handwriting (it has since improved) and spotty sound, there is a lot to be learned here.  In particular, this tutorial walks through starting, financing and taking public a company (and even talks about what happens if it has trouble paying its debts).'] = 'This is an old set of videos, but if you put up with Sal\'s messy handwriting (it has since improved) and spotty sound, there is a lot to be learned here.  In particular, this tutorial walks through starting, financing and taking public a company (and even talks about what happens if it has trouble paying its debts).';
catalog['This is an older tutorial (notice the low-res, bad handwriting) about one of the coolest numbers in reality and how it falls out of our innate desire to compound interest continuously.'] = 'Dies ist eine \u00e4ltere \u00dcbung (wie man an der niedrigen Aufl\u00f6sung und der schwer lesbaren Handschrift erkennen kann). Sie stellt eine der genialsten Zahlen der Realit\u00e4t vor und zeigt unser angeborene Tendenz zum st\u00e4ndigen Aufzinsen.';
catalog['This is one exciting tutorial.  In it, we will understand that fractions can represent division (and the other way around).  Then we will create fractions by dividing whole numbers and then start dividing the fractions themselves.  We\'ll see that dividing by something is the exact same thing as multiplying by that thing\'s reciprocal!'] = 'Dies ist ein aufregendes Tutorial. Wir werden verstehen, wie man mit Br\u00fcchen eine Division darstellen kann (und auch umgekehrt). Anschlie\u00dfend werden wir Br\u00fcche erstellen, indem wir ganze Zahlen dividieren, und dann die Br\u00fcche selber dividieren. Wir werden sehen, dass das dividieren durch etwas exakt dasselbe ist wie die Multiplikation mit dem Kehrwert desselben!';
catalog['This is one exciting tutorial. In it, we will understand that fractions can represent division (and the other way around). Then we will create fractions by dividing whole numbers and then start dividing the fractions themselves. We\'ll see that dividing by something is the exact same thing as multiplying by that thing\'s reciprocal!\n\nCommon Core Standards: 5.NF.B.3, 5.NF.B.7, 5.NF.B.7a, 5.NF.B.7b, 5.NF.B.7c'] = 'Dieses Tutorial ist spannend: Wir werden in ihm verstehen, dass Br\u00fcche eine Division darstellen k\u00f6nnen (und andersherum). Dann erschaffen wir Br\u00fcche, indem wir ganze Zahlen teilen und fangen dann an, auch Br\u00fcche zu teilen. Wir werden sehen, dass durch etwas zu teilen genau das gleiche ist wie mit dem Kehrwert zu multiplizieren.\n\nCommon Core Standards: 5.NF.B.3, 5.NF.B.7, 5.NF.B.7a, 5.NF.B.7b, 5.NF.B.7c';
catalog['This is one of those tutorials that bring many ideas we\'ve been building together into something applicable.  Orthogonal projections (which can sometimes be conceptualized as a "vector\'s shadow" on a subspace if the light source is above it) can be used in fields varying from computer graphics and statistics!\n\nIf you\'re familiar with orthogonal complements, then you\'re ready for this tutorial!'] = 'This is one of those tutorials that bring many ideas we\'ve been building together into something applicable.  Orthogonal projections (which can sometimes be conceptualized as a "vector\'s shadow" on a subspace if the light source is above it) can be used in fields varying from computer graphics and statistics!\n\nIf you\'re familiar with orthogonal complements, then you\'re ready for this tutorial!';
catalog['This is simply collection of related KA content (this is NOT a finished tutorial)'] = 'This is simply collection of related KA content (this is NOT a finished tutorial)';
catalog['This is the Renaissance Art overview video for TICE ART 1010, a video from the Utah System of Higher Education'] = 'This is the Renaissance Art overview video for TICE ART 1010, a video from the Utah System of Higher Education';
catalog['This is the century that sees the full realization of the Renaissance and the end of the medieval way of thinking about the world. The Humanist rediscovery of ancient Greek and Roman culture is supported by the wealth accumulated in prosperous cities such as Bruges, Florence, and Venice. New wealth and increasing trade created a demand for an art based on the world we see. The second half of the century saw the invention of the printing press, and Columbus\u2019s voyage. And though he was heading for the East, Columbus landed in the Americas, and suddenly there were vast new continents for Europe to exploit economically and to Christianize. The century begins with the magnificent sculptures of Claus Sluter and ends with the elegant figures of Leonardo da Vinci.'] = 'This is the century that sees the full realization of the Renaissance and the end of the medieval way of thinking about the world. The Humanist rediscovery of ancient Greek and Roman culture is supported by the wealth accumulated in prosperous cities such as Bruges, Florence, and Venice. New wealth and increasing trade created a demand for an art based on the world we see. The second half of the century saw the invention of the printing press, and Columbus\u2019s voyage. And though he was heading for the East, Columbus landed in the Americas, and suddenly there were vast new continents for Europe to exploit economically and to Christianize. The century begins with the magnificent sculptures of Claus Sluter and ends with the elegant figures of Leonardo da Vinci.';
catalog['This is the foundational tutorial for the rest of statistics.  We start thinking about how you can represent a set of numbers with one number that somehow represents the "center".  We then talk about the differences between populations, samples, parameters and statistics.'] = 'This is the foundational tutorial for the rest of statistics.  We start thinking about how you can represent a set of numbers with one number that somehow represents the "center".  We then talk about the differences between populations, samples, parameters and statistics.';
catalog['This is where math starts to get really cool.  It may see strange to define a number whose square is negative one.  Why do we do this?  Because it fits a nice niche in the math ecosystem and can be used to solve problems in engineering and science (not to mention some of the coolest fractals are based on imaginary and complex numbers).  The more you think about it, you might realize that all numbers, not just i, are very abstract.'] = 'This is where math starts to get really cool.  It may see strange to define a number whose square is negative one.  Why do we do this?  Because it fits a nice niche in the math ecosystem and can be used to solve problems in engineering and science (not to mention some of the coolest fractals are based on imaginary and complex numbers).  The more you think about it, you might realize that all numbers, not just i, are very abstract.';
catalog['This isn\'t the epic video I\'ve been working on for months, I just couldn\'t sleep last night and had been reading too much Borges so this fell out.'] = 'This isn\'t the epic video I\'ve been working on for months, I just couldn\'t sleep last night and had been reading too much Borges so this fell out.';
catalog['This mission is too important for me to allow you to jeopardize it.'] = 'Diese Aufgabe ist zu wichtig, dass ich Dir erlaube sie zu gef\u00e4hrden.';
catalog['This more advanced (and very optional) tutorial is fun to look at for enrichment.  It builds to figuring out the formula for the area of a triangle inscribed in a circle!'] = 'Dieses Tutorial f\u00fcr Fortgeschrittene (sehr optional) macht Spa\u00df und ist eine Bereicherung.  Es f\u00fchrt dahin, die Formel f\u00fcr die Fl\u00e4che eines in einen Kreis eingeschriebenen Dreiecks herauszufinden!';
catalog['This old and badly drawn tutorial covers a topic essential to anyone planning to not live in the woods -- your personal balance sheet.  Since homes are usually the biggest part of these personal balance sheets, we cover that too.'] = 'This old and badly drawn tutorial covers a topic essential to anyone planning to not live in the woods -- your personal balance sheet.  Since homes are usually the biggest part of these personal balance sheets, we cover that too.';
catalog['This organization does not have permissions for this zone.'] = 'This organization does not have permissions for this zone.';
catalog['This page can help you administer your installation of KA Lite.'] = 'This page can help you administer your installation of KA Lite.';
catalog['This path is only available on distributed servers.'] = 'Dieser Path ist nur auf dezentrale Server verf\u00fcgbar.';
catalog['This path is only available on the central server.'] = 'This path is only available on the central server.';
catalog['This project is a low cost robot made from every day items that are taken apart and described in the reverse engineering section. This project was created by Karl R. C. Wendt.'] = 'This project is a low cost robot made from every day items that are taken apart and described in the reverse engineering section. This project was created by Karl R. C. Wendt.';
catalog['This project is based  on a MAKE Beetle bot. The tutorial was created by Karl R. C. Wendt.'] = 'This project is based  on a MAKE Beetle bot. The tutorial was created by Karl R. C. Wendt.';
catalog['This project is based  on a MAKE Beetle bot. The tutorial was created by Karl R.C. Wendt.'] = 'This project is based  on a MAKE Beetle bot. The tutorial was created by Karl R.C. Wendt.';
catalog['This project shows how to power a boat with a candle.'] = 'This project shows how to power a boat with a candle.';
catalog['This project shows you how to build a ping pong and test an adjustable ping pong ball launcher.'] = 'This project shows you how to build a ping pong and test an adjustable ping pong ball launcher.';
catalog['This public key has already been registered!'] = 'This public key has already been registered!';
catalog['This quiz features is a painting that does not appear in any tutorial in this section, though it does date to this century (1400-1500). It is an \u201cunknown\u201d for you to test your skill and knowledge about Renaissance art. Some of the questions may require knowledge beyond the videos in this set of tutorials.'] = 'This quiz features is a painting that does not appear in any tutorial in this section, though it does date to this century (1400-1500). It is an \u201cunknown\u201d for you to test your skill and knowledge about Renaissance art. Some of the questions may require knowledge beyond the videos in this set of tutorials.';
catalog['This reviews ways to multiply and factor any expression.  Refresh these skills to solve a broad array of problems in algebra.'] = 'Hier werden M\u00f6glichkeiten wiederholt jeden Ausdruck zu multiplizieren oder zu faktorisieren. Frische diese F\u00e4higkeiten auf, um ein weites Feld von Probleme in Algebra zu l\u00f6sen.';
catalog['This sequence (pun intended) of videos and exercises  will help us explore ordered lists of objects--even infinite ones--that often have some pattern to them.  We will then explore constructing sequences where the nth term is the sum of the first n terms of another sequence (series).  This is surprisingly useful in a whole series (pun intended) of applications from finance to drug dosage.'] = 'Diese Folge von Videos und \u00dcbungen hilft uns geordnete Liste von Objekten zu erforschen - manchmal sogar unendlich lange - die oft ein gemeinsames Muster aufweisen. Wir werden dann Folgen konstruieren, deren n-ter Term eine Summe der ersten n Terme einer anderen Folge ist. Das hat \u00fcberraschender Weise viele n\u00fctzliche Anwendungen in der Finanzwelt bis hin zur Dosierung von Medikamenten.';
catalog['This set of exercises works on different types of real world examples of working with decimals.  100% of pure math fun!'] = 'This set of exercises works on different types of real world examples of working with decimals.  100% of pure math fun!';
catalog['This short tutorial explains how we measure how much "money" there is out there.  As we\'ll see, this isn\'t as straightforward as counting dollars in people\'s pockets, especially because there are multiple type of money.'] = 'This short tutorial explains how we measure how much "money" there is out there.  As we\'ll see, this isn\'t as straightforward as counting dollars in people\'s pockets, especially because there are multiple type of money.';
catalog['This short tutorial explores how a wine business can utilize first-degree price discrimination to maximize economic profit (it uses many of the ideas we\'ve explored in the rest of this tutorial).'] = 'This short tutorial explores how a wine business can utilize first-degree price discrimination to maximize economic profit (it uses many of the ideas we\'ve explored in the rest of this tutorial).';
catalog['This short tutorial will have you dealing with orbiting frozen socks in order to understand whether you understand Newton\'s Laws.  We also quiz you a bit during the videos just to make sure that you aren\'t daydreaming about what you would do with a frozen sock.'] = 'This short tutorial will have you dealing with orbiting frozen socks in order to understand whether you understand Newton\'s Laws.  We also quiz you a bit during the videos just to make sure that you aren\'t daydreaming about what you would do with a frozen sock.';
catalog['This topic continues our journey through the world of Euclid by helping us understand angles and how they can relate to each other.'] = 'Dieses Thema setzt die Reise durch die Euklidische Welt fort und hilft dir Winkel und ihre Beziehungen zueinander zu verstehen .';
catalog['This topic explains how Spout works! It was created by Karl R. C. Wendt.'] = 'This topic explains how Spout works! It was created by Karl R. C. Wendt.';
catalog['This topic will add a ton of tools to your algebraic toolbox.  You\'ll be able to multiply any expression and learn to factor a bunch a well.  This will allow you to solve a broad array of problems in algebra.'] = 'Dieses Thema wird dir eine eine Menge Werkzeuge f\u00fcr die Algebra an die Hand geben. Du wirst Terme multiplizieren k\u00f6nnen und auch vieles faktorisieren k\u00f6nnen. Das wird dir erm\u00f6glichen, eine ganze Bandbreite an Problemen der Algebra zu l\u00f6sen.';
catalog['This tutorial (that only has one video) is an overview of what economics is.  In particular it will tell you the difference between microeconomics (the subject you\'re in right now) and macroeconomics.  Really good first watch to give you some context on the world of economics.'] = 'Diese Einf\u00fchrung (bestehend aus nur einem Video) liefert einen \u00dcberblick \u00fcber die \u00d6konomik. Es erkl\u00e4rt den Unterschied zwischen Mikro\u00f6konomik (das Fach in dem Du Dich gerade befindest) und Makro\u00f6konomik. Eine sehr gute M\u00f6glichkeit um etwas Kontext zu Welt der \u00d6konomik zu bekommen.';
catalog['This tutorial brings together all of the major ideas in this topic.  First, it starts off with a light-weight review of the various ideas in the topic.  It then goes into a heavy-weight proof of a truly, truly, truly amazing idea.  It was amazing enough that orthocenters, circumcenters, and centroids exist , but we\'ll see in the videos on Euler lines that they sit on the same line themselves (incenters must be feeling lonely)!!!!!!!'] = 'Dieses Tutorial f\u00fchrt alle gro\u00dfen Ideen dieses Themengebiets zusammen. Es beginnt mit den Leichtgewicht-Versionen der verschiedensten Ideen dieses Themengebiets. Dann geht\'s weiter mit dem Schwergewichten; dem Beweis einer wirklich, wirklich, wirklich beeindruckenden Idee. Es war bereits erstaunlich, dass H\u00f6henschnittpunkt, Umkreismittelpunkt und Schwerpunkt \u00fcbehaupt existieren. Aber in den Videos zu eulerschen Geraden wirst du sehen, dass sie sogar auf der gleichen Geraden sitzen (Inkreismittelpunkte f\u00fchlen sich bestimmt einsam)!!!!!!!';
catalog['This tutorial classifies regions in three dimensions.  Comes in useful for some types of double integrals and we use these ideas to prove the divergence theorem.'] = 'This tutorial classifies regions in three dimensions.  Comes in useful for some types of double integrals and we use these ideas to prove the divergence theorem.';
catalog['This tutorial contains short videos that explain how China and the United States are intertwined through currency and debt.  This is key for understanding the current global macro picture.'] = 'This tutorial contains short videos that explain how China and the United States are intertwined through currency and debt.  This is key for understanding the current global macro picture.';
catalog['This tutorial covers central tendency and dispersion.  It is redundant with the other tutorials on this topic, but it has the benefit of messy handwriting and a cheap microphone. This is Sal circa 2007 so take it all with a grain of salt (or just skip it altogether).'] = 'This tutorial covers central tendency and dispersion.  It is redundant with the other tutorials on this topic, but it has the benefit of messy handwriting and a cheap microphone. This is Sal circa 2007 so take it all with a grain of salt (or just skip it altogether).';
catalog['This tutorial covers much of the same material as the "Limits" tutorial, but does it with Sal\'s original "old school" videos.  The sound, resolution or handwriting isn\'t as good, but some people find them more charming.'] = 'Dieses Tutorial deckt im Wesentlichen den gleichen Stoff ab wie das "Grenzwerte"-Tutorial, verwendet aber die originalen "Old-School"-Videos von Sal. Der Ton, die Aufl\u00f6sung und die Handschrift sind nicht so gut, aber einige Leute finden sie reizvoller.';
catalog['This tutorial delves into how and why countries (usually their central banks) would want to keep other countries\' currency in reserve.  It then goes into why this sometime leaves the reserve-holding country open to a speculative attack (this is seriously high drama).'] = 'This tutorial delves into how and why countries (usually their central banks) would want to keep other countries\' currency in reserve.  It then goes into why this sometime leaves the reserve-holding country open to a speculative attack (this is seriously high drama).';
catalog['This tutorial doesn\'t involve talking parrots and greedy trolls, but it takes many of the ideas you might have learned in that tutorial and applies them to word problems.  These include rate problems, mixture problems, and others.  If you can pause and solve the example videos before Sal does, we\'d say that you have a pretty good grasp of systems.  Enjoy!'] = 'In diesem Tutorial st\u00f6\u00dft du zwar nicht auf sprechende Papageie und gierige Trolle, aber viele Gedanken sind erforderlich, die du wom\u00f6glich in diesem Tutorial gelernt hast und auf Wortprobleme anwenden wirst. Diese beinhalten unter anderem Ratenprobleme und MIxturpobleme. Du hast eine Menge Ahnung von Systemen, falls du die Beispielvideos anhalten und l\u00f6sen kannst, bevor Sal es tut. Viel Spa\u00df!';
catalog['This tutorial doesn\'t involve talking parrots and greedy trolls, but it takes many of the ideas you might have learned in that tutorial and applies them to word problems.  These include rate problems, mixture problems, and others.  If you can pause and solve the example videos before Sal does, we\'d say that you have a pretty good grasp of systems.  Enjoy!\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b, 8.EE.C.8c'] = 'In diesem Tutorial st\u00f6\u00dft du zwar nicht auf sprechende Papageie und gierige Trolle, aber es \u00fcbernimmt viele Gedanken, die du wom\u00f6glich in jenem Tutorial gelernt hast, und wendest sie auf Textaufgaben an. Diese beinhalten unter anderem Ratenprobleme und MIxturpobleme. Wenn du die Beispielvideos anh\u00e4ltst und l\u00f6sen kannst, bevor Sal es tut, w\u00fcrden wir sagen, dass du eine ziemlich gute Auffassungsgabe hast. Viel Spa\u00df! \n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b, 8.EE.C.8c';
catalog['This tutorial experiments with lines that divide the angles of a triangle in two (angle bisectors).  As we\'ll prove, all three angle bisectors actually intersect at one point called the incenter (amazing!).  We\'ll also prove that this incenter is equidistant from the sides of the triangle (even more amazing!).  This allows us to create a circle centered at the incenter that is tangent to the sides of the triangle (not surprisingly called the "incircle").'] = 'Dieses Tutorial experimentiert mit Geraden, die die Winkel in einem Dreieck halbieren (Winkelhalbierende). Wie du auch beweisen wirst, schneiden sich alle drei Winkelhalbierenden sogar in einem Punkt, der Inkreismittelpunkt genannt wird (beeindruckend!). Du wirst aber auch beweisen, dass dieser Inkreismittelpunkt gleich weit von den Seiten des Dreiecks enternt ist (noch beeindruckender!). Dadurch bist du in der Lage einen Kreis zu konstruieren, der das Innenzentrum als Mittelpunkt hat und alle Seiten des Dreiecks tangiert (nicht sehr \u00fcberraschend, dass er "Inkreis" genannt wird).';
catalog['This tutorial explains a similar (but not congruent) idea to congruency (if that last sentence made sense, you might not need this tutorial).  Seriously, we\'ll take a rigorous look at similarity and think of some reasonable postulates for it.  We\'ll then use these to prove some results and solve some problems.  The fun must not stop!'] = 'Dieses Tutorial erkl\u00e4rt eine Idee, die \u00e4hnlich (aber nicht kongruent) zur Kongruenz ist (wenn dieser Satz Sinn gemacht hat, brauchst du dieses Tutorial vermutlich nicht). Aber mal ernsthaft: Du wirst einen rigorosen Blick auf die Idee der \u00c4hnlichkeit werfen und dir ein paar sinnvolle Axiome einfallen lassen. Danach nutzt du diese dann, um ein paar Ergebnisse zu beweisen und das einige Probleme zu l\u00f6sen. Der Spa\u00df darf ja nicht aufh\u00f6ren!';
catalog['This tutorial focuses exclusively on the art of Caspar David Friedrich, whose work best exemplifies Romanticism\u2019s interest in the big questions of man\u2019s mortality and place in the universe. The world had changed dramatically since the time of Michelangelo, Bernini and Rembrandt, and as a result, Friedrich approached these big questions without the Christian narratives that dominated the art of the past. And like his English counterparts during this period, he imbues nature and the landscape with symbolic and often spiritual meaning.'] = 'This tutorial focuses exclusively on the art of Caspar David Friedrich, whose work best exemplifies Romanticism\u2019s interest in the big questions of man\u2019s mortality and place in the universe. The world had changed dramatically since the time of Michelangelo, Bernini and Rembrandt, and as a result, Friedrich approached these big questions without the Christian narratives that dominated the art of the past. And like his English counterparts during this period, he imbues nature and the landscape with symbolic and often spiritual meaning.';
catalog['This tutorial focuses on solving systems graphically.  This is covered in several other tutorials, but this one gives you more examples than you can shake a chicken at.  Pause the videos and try to do them before Sal does.'] = 'In diesem Lernprogramm geht es darum, Systeme grafisch zu l\u00f6sen. Dies wird in mehreren anderen Tutorials behandelt, aber dieses gibt mehr Beispiele, als du dir vorstellen kannst. Halten die Videos an und versuchen die Beispiele zu machen, bevor Cal es tut.';
catalog['This tutorial focuses on the art of Peter Paul Rubens, whose work was in high demand by nearly every King, Queen and aristocrat in Catholic Europe (good thing he had a huge workshop!). Rubens was a master of color, dramatic compositions, and movement. Although he was from Northern Europe, he traveled to Italy and absorbed the art of the Renaissance, of classical antiquity, and of Caravaggio. He painted nearly every type of subject\u2014landscapes, portraits, mythology, and history paintings.'] = 'This tutorial focuses on the art of Peter Paul Rubens, whose work was in high demand by nearly every King, Queen and aristocrat in Catholic Europe (good thing he had a huge workshop!). Rubens was a master of color, dramatic compositions, and movement. Although he was from Northern Europe, he traveled to Italy and absorbed the art of the Renaissance, of classical antiquity, and of Caravaggio. He painted nearly every type of subject\u2014landscapes, portraits, mythology, and history paintings.';
catalog['This tutorial gives an overview of light and the fundamental four forces.  You won\'t have a degree in physics after this, but it\'ll give you some good context for understanding cosmology and the universe we are experiencing.  It should be pretty understandable by someone with a very basic background in science.'] = 'Dieses Tutorial gibt einen \u00dcberblick \u00fcber das Licht und die vier fundamentalen Kr\u00e4fte. Ihr werdet daf\u00fcr zwar keinen akademischen Titel bekommen, aber ihr erfahrt etwas \u00fcber Kosmologie und unser Universum. Mit einigen wenigen wissenschaftlichen Grundkenntnissen ist das leicht zu verstehen.';
catalog['This tutorial goes back to the basics.  You are a hunter-gatherer with only so much time to hunt or gather.  How do you allocate your time and energy to maximize you happiness?  This is what we try to understand through our study of the production possibilities frontier and opportunity cost.'] = 'This tutorial goes back to the basics.  You are a hunter-gatherer with only so much time to hunt or gather.  How do you allocate your time and energy to maximize you happiness?  This is what we try to understand through our study of the production possibilities frontier and opportunity cost.';
catalog['This tutorial goes into some detail to describe the tactics and battles of the two major fronts of World War I--the Western Front and the Eastern Front.'] = 'Dieses Tutorial geht n\u00e4her auf die Taktiken und Schlachten der zwei Hauptfronten im 1. Weltkrieg ein--der Westfront und der Ostfront.';
catalog['This tutorial goes through a fancy problem from the IIT JEE exam in India (competitive exam for getting into their top engineering schools).  Whether or not you live in India, this is a good example to test whether you are a complex number rock star.'] = 'Dieses Tutorial besch\u00e4ftigt sich mit einem netten Problem aus der IIT JEE-Pr\u00fcfung in Indien (selektive Pr\u00fcfung f\u00fcr die Aufnahme in ihre besten technischen Hochschulen).  Ob man in Indien lebt oder nicht, dies ist ein gutes Beispiel um zu testen, ob du ein Rockstar der komplexen Zahl bist.';
catalog['This tutorial has a bunch of extra, but random, videos on quadratics.  A completely optional tutorial that you may or may not want to look at.  If you do, watch it last.  There are some Sal oldies here and some random examples.'] = 'In diesem Tutorial gibt es ein paar zus\u00e4tzliche, aber zuf\u00e4llig ausgew\u00e4hlte, Videos \u00fcber quadratische Gleichungen. Es ist ein v\u00f6llig freiwilliges Tutorial, das du dir angucken kannst, wenn du willst, aber du kannst es auch bleiben lassen. Wenn du es dir anguckst, dann mach es als letztes. Es gibt hier ein paar Oldies von Sal und ein paar zuf\u00e4llige Beispiele.';
catalog['This tutorial has some of the old videos that Sal first did around 2007.  This content is covered elsewhere, but some folks like the raw (and masculine) simplicity of these first lessons (Sal added the bit about "masculine").'] = 'This tutorial has some of the old videos that Sal first did around 2007.  This content is covered elsewhere, but some folks like the raw (and masculine) simplicity of these first lessons (Sal added the bit about "masculine").';
catalog['This tutorial helps us answer one of the most important questions not only in statistics, but all of science:  how confident are we that a result from a new drug or process is not due to random chance but due to an actual impact.\n\nIf you are familiar with sampling distributions and confidence intervals, you\'re ready for this adventure!'] = 'Dieses Tutorial hilft uns eine der wichtigsten Fragen nicht nur in der Statistik, sondern f\u00fcr die gesamte Wissenschaft zu beantworten: wie sicher sind wir, dass das Ergebnis f\u00fcr ein neues Medikament oder Verfahren nicht zuf\u00e4llig ist sondern aufgrund eines wirklichen Einflusses vorliegt.\n\nWenn du vertraut bist mit Verteilungen f\u00fcr Stichproben und Konfidenzintervallen, dann bist du bereit f\u00fcr dieses Abenteuer!';
catalog['This tutorial includes the Ancient Near East, and Ancient Greece and Rome.'] = 'This tutorial includes the Ancient Near East, and Ancient Greece and Rome.';
catalog['This tutorial introduces a "formal" definition of limits.  So put on your ball gown and/or tuxedo to party with Mr. Epsilon Delta (no, this is not referring to a fraternity).\n\nThis tends to be covered early in a traditional calculus class (right after basic limits), but we have mixed feelings about that.  It is cool and rigorous, but also very "mathy" (as most rigorous things are).  Don\'t fret if you have trouble with it the first time.  If you have a basic conceptual understanding of what limits are (from the "Limits" tutorial), you\'re ready to start thinking about taking derivatives.'] = 'Dieses Tutorial stellt eine "formale" Definition von Grenzwerten vor.  Also zieh dein Ballkleid und/oder Smoking an und mach Party mit Mr. Epsilon Delta (Nein, das ist nicht unter Bezugnahme auf eine Bruderschaft).\n\n Das wird normalerweise schon fr\u00fch in einer traditionellen Calculus-Vorlesung abgedeckt (gleich nach grundlegenden Grenzwerten), aber wir finden das nicht unbedingt so gut.  Es ist cool und pr\u00e4zise, aber auch sehr "mathematisch" (wie die meisten pr\u00e4zisen Sachen eben sind).  \u00c4rgere dich nicht, wenn du beim ersten Mal Probleme damit hast.  Wenn du ein konzeptionelles Grundverst\u00e4ndnis daf\u00fcr hast, was Grenzwerte sind (aus dem "Grenzwerte"-Lernprogramm), kannst du damit anfangen, Ableitungen vorzunehmen.';
catalog['This tutorial introduces the structure of the U.S. health care system, how money flows within it, and an overview of different types of public and private insurance. These videos and questions provide a clear explanation of what is and is not working within the health care system to help frame the health care reform discussion and inform clinicians and the public how to improve quality while decreasing health care spending.  Narrated by Dr. Darshak Sanghavi, a pediatric cardiologist and fellow at Brookings Institution.'] = 'This tutorial introduces the structure of the U.S. health care system, how money flows within it, and an overview of different types of public and private insurance. These videos and questions provide a clear explanation of what is and is not working within the health care system to help frame the health care reform discussion and inform clinicians and the public how to improve quality while decreasing health care spending.  Narrated by Dr. Darshak Sanghavi, a pediatric cardiologist and fellow at Brookings Institution.';
catalog['This tutorial introduces us to one of the derivations (from finance and continuously compounding interest) of the irrational number \'e\' which is roughly 2.71...'] = 'Dieses Tutorial f\u00fchrt uns zu einer der Ableitungen (von Finanzen und Zinseszins) der irrationale Zahl "e", die etwa 2,71 ist...';
catalog['This tutorial is a bit of an excursion back to you Algebra II days when you first solved systems of equations (and possibly used matrices to do so).  In this tutorial, we did a bit deeper than you may have then, with emphasis on valid row operations and getting a matrix into reduced row echelon form.'] = 'Dieses Tutorium ist eine kleine Exkursion zur\u00fcck zu den Anf\u00e4ngen von Algebra, als du zum ersten Mal Gleichungssysteme gel\u00f6st hast (und dazu wahrscheinlich Matrixe benutzt hast). In diesem Tutorium gehen wir etwas tiefer und legen unseren Schwerpunkt auf g\u00fcltige Reihenoperationen und darauf eine Matrix in die Treppennormalform umzuwandeln.';
catalog['This tutorial is a catch-all for a bunch of things that we haven\'t been able (for lack of time or ability) to categorize into other tutorials :('] = 'Dieses Tutorial ist ein Auffangbecken f\u00fcr eine Reihe von Dingen, die wir (aus Mangel an Zeit oder M\u00f6glichkeit) bei unseren Tutorials noch nicht abdecken konnten :(';
catalog['This tutorial is a survey of all the core ideas in a traditional first-year algebra course.  It is by no means comprehensive (that\'s what the other 600+ videos are for), but it will hopefully whet your appetite for more algebra!'] = 'Dieses Tutorial gibt einen \u00dcberblick \u00fcber die Grundideen des \u00fcblichen ersten Jahres eines Algebra-Kurses. Es ist in keiner Weise allumfassend (Daf\u00fcr sind die anderen 600+ Videos), aber es wird dir hoffentlich Lust auf mehr Algebra machen!';
catalog['This tutorial is a survey of the major themes in basic algebra in five videos!  From basic equations to graphing to systems, it has it all.  Great for someone looking for a gentle, but broad understanding of the use of algebra.  Also great for anyone unsure of which gym plan they should pick!'] = 'Dieses Tutorial ist eine Zusammenfassung von gro\u00dfen Themen der einfachen Algebra in f\u00fcnf Videos! Von einfachen Gleichungen bis hin zu Graphen und Systemen, hier gibt es alles. Besonders geeignet f\u00fcr jemanden, der ein lockeres aber breites Verst\u00e4ndnis der Algebra sucht. Auch geeignet f\u00fcr alle, die nicht wissen, welcher Fitnessstudio-Vertrag der beste f\u00fcr einen ist!';
catalog['This tutorial is all about *really* being able to interpret and see meaning in algebraic expressions--including those that involve rational expressions, exponentials, and polynomials.   If you enjoy these ideas and problems, then you\'re really begun to develop your mathematical maturity.\n\n\n'] = 'In diesem Tutorial geht es darum, *wirklich* die Bedeutung in algebraischen Ausdr\u00fccke zu sehen und interpretieren zu k\u00f6nnen --einschlie\u00dflich derjenigen, die rationale Ausdr\u00fccke, Exponenten und Polynome enthalten.  Wenn du diese Ideen und Probleme genie\u00dft, dann hast du wirklich begonnen, mathematisch erwachsen zu werden.\n\n\n';
catalog['This tutorial is focused on solving systems through substitution.  It has more examples than you can shake a dog at.  As always, pause the video and try to solve before Sal does.  Once you get a hang for things, feel free to skip the rest of the videos and try the exercises.  The best way to learn, after all, is to do rather than just listen!\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b'] = 'Dieses Tutorial konzentriert sich auf das L\u00f6sen von Gleichungssystemen durch Substitution.  Es hat mehr Beispiele, als du dir vorstellen kannst.  Wie immer, halte das Video an und suche erst selbst eine L\u00f6sung bevor Sal es tut.  Sobald du ein Gef\u00fchl daf\u00fcr hast, wie\'s geht, kannst du gerne den Rest des Videos \u00fcberspringen und die \u00dcbungen ausprobieren.  Der beste Weg zu lernen ist noch immer, es selbst zu tun anstatt nur zuzuh\u00f6ren! \n\nCommon Core Standards: 8.EE.C. 8, 8.EE.C.8b';
catalog['This tutorial is focused on solving systems through substitution.  This is covered in several other tutorials, but this one focuses on substitution with more examples than you can shake a dog at.  As always, pause the video and try to solve before Sal does.'] = 'Dieses Tutorial ist darauf fokussiert Gleichungssysteme durch Substitution zu l\u00f6sen. Dies wird auch in einigen anderen Tutorials behandelt, aber dieses konzentriert sich auf Substitution mit mehr Beispielen, als man sich w\u00fcnschen kann. Wie immer, halte das Video gerne an und probiere dich an dem Problem bevor Sal es tut.';
catalog['This tutorial is for you if you already have the basics of solving equations and are looking to put your newfound powers to work in more examples.'] = 'Dieses Tutorium ist f\u00fcr dich geeignet, falls du die die grundlegenden F\u00e4higkeiten f\u00fcr das L\u00f6sen von quadratischen Gleichungen erworben hast und vor hast diese in weiteren Beispielen einzusetzten.';
catalog['This tutorial is less about statistics and more about interpreting data--whether it is presented as a table, pictograph, bar graph or line graph.  Good for someone new to these ideas.  For a student in high school or college looking to learn statistics, it might make sense to skip (although it might not hurt either).'] = 'In diesem Tutorial geht es weniger um Statistik als viel mehr um die Darstellung der Daten--ob es als eine Tabelle, Piktogramm, Balken- oder Liniendiagramm dargestellt wird.  Gut f\u00fcr jemand, dem diese Ideen neu sind.  F\u00fcr einen Studenten, der Statistik lernen m\u00f6chte, kann es sinnvoll sein (obwohl es nicht Schaden kann), dies zu \u00fcberspringen.';
catalog['This tutorial is the backbone of your understanding of kinematics (i.e., the motion of objects).  You might already know that distance = rate x time.  This tutorial essentially reviews that idea with a vector lens (we introduce you to vectors here as well).  So strap your belts (actually this might not be necessary since we don\'t plan on decelerating in this tutorial) and prepare for a gentle ride of foundational physics knowledge.'] = 'This tutorial is the backbone of your understanding of kinematics (i.e., the motion of objects).  You might already know that distance = rate x time.  This tutorial essentially reviews that idea with a vector lens (we introduce you to vectors here as well).  So strap your belts (actually this might not be necessary since we don\'t plan on decelerating in this tutorial) and prepare for a gentle ride of foundational physics knowledge.';
catalog['This tutorial is the meat of much of classical physics.  We think about what a force is and how Newton changed the world\'s (and possibly your) view of how reality works.'] = 'Dieses Tutorial ist der Kern der klassischen Physik. Wir denken dar\u00fcber nach, was eine Kraft ist und wie Newton den Blick (und damit m\u00f6glicherweise auch deinen Blick) auf die Welt ver\u00e4ndert hat.';
catalog['This tutorial looks at markets that are deemed to have "perfect competition."  This means that there are many players with identical products, no barriers to entry, no advantage for existing players and good pricing information.  Few to no real market completely matches this theoretical ideal, but many are close.  Even the example we use in this tutorial (the airline industry) isn\'t quite perfect (you should think about why).'] = 'This tutorial looks at markets that are deemed to have "perfect competition."  This means that there are many players with identical products, no barriers to entry, no advantage for existing players and good pricing information.  Few to no real market completely matches this theoretical ideal, but many are close.  Even the example we use in this tutorial (the airline industry) isn\'t quite perfect (you should think about why).';
catalog['This tutorial looks at supply and demand in aggregate-from the perspective of the entire economy (not just the market for one good or service).  Instead of thinking of quantity of one good, we think of total output (GDP).  Very useful model for thinking through macroeconomic events.'] = 'This tutorial looks at supply and demand in aggregate-from the perspective of the entire economy (not just the market for one good or service).  Instead of thinking of quantity of one good, we think of total output (GDP).  Very useful model for thinking through macroeconomic events.';
catalog['This tutorial shows you what a logarithmic function is.  It will then go on to show the many times in nature and science that these type of functions are useful to describe what is happening.'] = 'Dieses Tutorial zeigt Dir was eine logarithmische Funktion ist.  Anschliessend sehen wir uns die vielen Anwendungen in Natur und Wissenschaften an, bei denen diese Funktionen beschreiben, was passiert.';
catalog['This tutorial starts with a very "micro" view of when firms decide to raise (or lower prices).  It then jumps back to the macro view to discuss how capacity utilization can impact prices.'] = 'This tutorial starts with a very "micro" view of when firms decide to raise (or lower prices).  It then jumps back to the macro view to discuss how capacity utilization can impact prices.';
catalog['This tutorial tackles a fundamental question when trying to launch things as far as possible (key if you\'re looking to capture a fort with anything from water balloons to arrows).  With a bit of calculus, we\'ll get to a fairly intuitive answer.'] = 'This tutorial tackles a fundamental question when trying to launch things as far as possible (key if you\'re looking to capture a fort with anything from water balloons to arrows).  With a bit of calculus, we\'ll get to a fairly intuitive answer.';
catalog['This tutorial talks about how the housing-bubble-induced credit crisis unfolded with a focus on the derivative securities that helped pump the bubble.'] = 'This tutorial talks about how the housing-bubble-induced credit crisis unfolded with a focus on the derivative securities that helped pump the bubble.';
catalog['This tutorial tries to address a very important question in the real world--what drives oil prices?  And we will do it using the tools of the supply and demand curves.'] = 'This tutorial tries to address a very important question in the real world--what drives oil prices?  And we will do it using the tools of the supply and demand curves.';
catalog['This tutorial uses our understanding of congruence postulates to prove some neat properties of isosceles and equilateral triangles.'] = 'Dieses Tutorial zieht Nutzen aus deinem Wissen \u00fcber die Kongruenzs\u00e4tze um einige tolle Eigenschaften von gleichschenkligen und gleichseitigen Dreiecken zu beweisen.';
catalog['This tutorial walks through how China\'s undervaluing of its currency impacts trade and prices (which also fuels cheap borrowing for the U.S.).'] = 'This tutorial walks through how China\'s undervaluing of its currency impacts trade and prices (which also fuels cheap borrowing for the U.S.).';
catalog['This tutorial walks through various scenarios of moderate and extreme price changes.  Very good way to understand how activity in the economy may impact price (and vice versa).'] = 'This tutorial walks through various scenarios of moderate and extreme price changes.  Very good way to understand how activity in the economy may impact price (and vice versa).';
catalog['This tutorial will apply the permutation and combination tools you learned in the last tutorial to problems of probability.  You\'ll finally learn that there may be better "investments" than poring all your money into the Powerball Lottery.'] = 'This tutorial will apply the permutation and combination tools you learned in the last tutorial to problems of probability.  You\'ll finally learn that there may be better "investments" than poring all your money into the Powerball Lottery.';
catalog['This tutorial will be your first exposure to exponents which we will build on in later grades.  In particular, we\'re going to think about what happens when you multiply by 10 multiple times (and think about how the number of zeroes relates to the number of times we multiply by 10).  Later on, we\'ll do the same thing with other numbers.\n\nCommon Core Standard: 5.NBT.A.2\t\n'] = 'In diesem Tutorial wirst du das erste Mal mit Exponenten zu tun haben. Darauf werden wir in sp\u00e4teren Klassen aufbauen. Wir werden vor allem dar\u00fcber nachdenken, was passiert, wenn du mehrmals mit 10 multiplizierst (und wir werden dar\u00fcber nachdenken, was die Anzahl der Nullen damit zu tun hat wie oft wir mit 10 multipliziert haben). Sp\u00e4ter werden wir das gleiche mit anderen Zahlen machen.\n\nCommon Core Standard: 5.NBT.A.2\t\n';
catalog['This tutorial will better connect the world of complex numbers to roots of polynomials.  It will show us that when we couldn\'t find roots, we just weren\'t looking hard enough.  In particular, the Fundamental Theorem of Algebra tells us that every non-zero polynomial in one-variable of degree n has exactly n-roots (although they might not all be real!)'] = 'Dieses Tutorial wird die Welt der komplexen Zahlen mit Wurzeln von Polynomen besser verbinden.  Es zeigt uns, dass wenn wir keine Wurzeln finden konnten, wir nur nicht genug gesucht haben. Insbesondere sagt uns das grundlegende Theorem der Algebra, dass alle Nicht-Null-Polynom in einer Variablen vom Grad n genau n-Wurzeln hat (obwohl sie nicht alle real sein k\u00f6nnen!)';
catalog['This tutorial will define what an angle is and help us think about how to measure them.  If you\'re new to angles, this is a great place to start.'] = 'Dieses Tutorial definiert, was ein Winkel eigentlich ist und hilft dir dar\u00fcber nachzudenken, wie man sie messen k\u00f6nnte. Wenn dir Winkel etwas Neues sind, ist dies ein guter Punkt um anzufangen.';
catalog['This tutorial will expose you to the foundation of classical mechanics--Newton\'s laws.  On one level they are intuitive, on another lever they are completely counter-intuitive.  Challenge your take on reality and watch this tutorial.  The world will look very different after you\'re done.'] = 'This tutorial will expose you to the foundation of classical mechanics--Newton\'s laws.  On one level they are intuitive, on another lever they are completely counter-intuitive.  Challenge your take on reality and watch this tutorial.  The world will look very different after you\'re done.';
catalog['This tutorial will get you started in your statistics journey.  In particular, we\'ll think about what types of questions can be answered with statistics and come up with some basic measures of central tendency!\n\nCommon Core Standards: 6.SP.A.1, 6.SP.A.2, 6.SP.A.3'] = 'Mit diesem Tutorial startest du deine Statistik-Reise.  Insbesondere werden wir uns \u00fcberlegen, welche Art von Fragen mit Statistiken beantwortet werden k\u00f6nnen und mit welchen grundlegenden Ma\u00dfen die wichtigsten Tendenz bestimmt werden k\u00f6nnen! \n\nCommon Core Standards: 6.SP.A.1, 6.SP.A.2, 6.SP.A.3';
catalog['This tutorial will help us make sure we can go deep on arithmetic. We\'ll explore various ways to represent whole numbers, place value, order of operations, rounding and various other properties of arithmetic.'] = 'Dieses Tutorial wird uns helfen, damit wir intensiv Arithmetik machen k\u00f6nnen. Wir werden verschiedene Wege erkunden, ganze Zahlen darzustellen, den Wert, die Reihenfolge von Operationen, das Runden von Zahlen und verschiedene andere Eigenschaften der Arithmetik.';
catalog['This tutorial will review some of the basic of circles and then think about lengths of arcs and areas of sectors.'] = 'Dieses Tutorial wird einige der Grundlagen f\u00fcr Kreise wiederholen und dann \u00fcber die L\u00e4nge von B\u00f6gen und Kreissektoren nachdenken.';
catalog['This tutorial won\'t be as convoluted as you might suspect.  We\'ll see what multiplying transforms in the s-domain give us in the time domain.'] = 'Dieses Lernprogramm wird nicht so kompliziert, wie du vielleicht  bef\u00fcrchtest.  Wir werden sehen, was die Multiplikation in der s-Dom\u00e4ne transformiert, was uns die Zeitdom\u00e4ne gibt.';
catalog['This very short tutorial gives us the big picture of what economics is all about and, in particular, compares macroeconomics (where you are now) to microeconomics.'] = 'Dieses sehr kurze Tutorial gibt uns einen Gesamt\u00fcberblick \u00fcber die \u00d6konomik und vergleicht Mikro- und Makro\u00f6konomie (wo Du Dich gerade befindest).';
catalog['This video describes the structure and function of Schwann cells.&nbsp; By Matt Jensen.'] = 'This video describes the structure and function of Schwann cells.&nbsp; By Matt Jensen.';
catalog['This video describes the structure and function of ependymal cells.&nbsp; By Matt Jensen.'] = 'This video describes the structure and function of ependymal cells.&nbsp; By Matt Jensen.';
catalog['This video describes the structure and function of microglia.&nbsp; By Matt Jensen.'] = 'This video describes the structure and function of microglia.&nbsp; By Matt Jensen.';
catalog['This video describes the structure and function of oligodendrocytes.&nbsp; By Matt Jensen.'] = 'This video describes the structure and function of oligodendrocytes.&nbsp; By Matt Jensen.';
catalog['This video documents the creation of a Buddhist painting by the monk artist, Seol-min (formerly known as Jae-u), who has dedicated her life to keeping the tradition of Buddhist painting alive.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/introduction-korean-buddhism">Learn more about Korean Buddhism</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'This video documents the creation of a Buddhist painting by the monk artist, Seol-min (formerly known as Jae-u), who has dedicated her life to keeping the tradition of Buddhist painting alive.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/introduction-korean-buddhism">Learn more about Korean Buddhism</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['This video explores ancient Buddhist cave shrines in China, including why the sites were created and the major sponsors and patrons. Learn more about&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/buddhist-cave-shrines-longmen">Buddhist cave shrines</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'This video explores ancient Buddhist cave shrines in China, including why the sites were created and the major sponsors and patrons. Learn more about&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/buddhist-cave-shrines-longmen">Buddhist cave shrines</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['This video explores the classical gardens of Suzhou, which are considered to be some of the most beautiful gardens in China.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/geography-china">Learn more about China</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;'] = 'This video explores the classical gardens of Suzhou, which are considered to be some of the most beautiful gardens in China.&nbsp;<a href="http://education.asianart.org/explore-resources/background-information/geography-china">Learn more about China</a>&nbsp;in the Asian Art Museum&#39;s education portal.&nbsp;';
catalog['This video explores the significance and working of jade in China. View jade in the&nbsp;<a href="http://www.asianart.org/collections/collection">Asian Art Museum&#39;s collection</a>.&nbsp;'] = 'This video explores the significance and working of jade in China. View jade in the&nbsp;<a href="http://www.asianart.org/collections/collection">Asian Art Museum&#39;s collection</a>.&nbsp;';
catalog['This video highlights the projectile (ping pong ball) launcher'] = 'This video highlights the projectile (ping pong ball) launcher';
catalog['This video introduces the concept of surface tension, and shows how roughness can make a surface superhydrophobic or superhydrophilic. The Wenzel and Cassie-Baxter models are explained. Special thanks to the MIT BioInstrumentation Lab.'] = 'This video introduces the concept of surface tension, and shows how roughness can make a surface superhydrophobic or superhydrophilic. The Wenzel and Cassie-Baxter models are explained. Special thanks to the MIT BioInstrumentation Lab.';
catalog['This video introduces the function and functional types of neurons.&nbsp; By Matt Jensen.'] = 'This video introduces the function and functional types of neurons.&nbsp; By Matt Jensen.';
catalog['This video introduces the structure and structural types of neurons.&nbsp; By Matt Jensen.'] = 'This video introduces the structure and structural types of neurons.&nbsp; By Matt Jensen.';
catalog['This video is based on, and in honor of, Martin Gardner\'s column from 1956, "Hexaflexagons," which can be found here: http://maa.org/pubs/focus/Gardner_Hexaflexagons12_1956.pdf. For more information, see the top comment below.'] = 'This video is based on, and in honor of, Martin Gardner\'s column from 1956, "Hexaflexagons," which can be found here: http://maa.org/pubs/focus/Gardner_Hexaflexagons12_1956.pdf. For more information, see the top comment below.';
catalog['This video is not downloaded.'] = 'This video is not downloaded.';
catalog['This video outlines in simple terms why a motor controller is needed and what it does'] = 'This video outlines in simple terms why a motor controller is needed and what it does';
catalog['This video provides an introduction to the cell types of the nervous system. By Matt Jensen.<br>'] = 'This video provides an introduction to the cell types of the nervous system. By Matt Jensen.<br>';
catalog['This video shows how Bit-zee&#39;s shell was modified to allow space for the bumper switches.'] = 'This video shows how Bit-zee&#39;s shell was modified to allow space for the bumper switches.';
catalog['This video shows you how to &quot;hotwire&quot; a digital camera. This video outlines the first step in making our digital camera work in the Bit-zee robot. The required voltage for the camera was determined by adding the1.5 volt AAA batteries (there are three of them) together to get 4.5 volts (because the batteries are wired in series). Since new batteries usually have a voltage that exceeds their marked rating the camera can easily run on the 5 volts that the center terminal of our L298 motor controller provides.'] = 'This video shows you how to &quot;hotwire&quot; a digital camera. This video outlines the first step in making our digital camera work in the Bit-zee robot. The required voltage for the camera was determined by adding the1.5 volt AAA batteries (there are three of them) together to get 4.5 volts (because the batteries are wired in series). Since new batteries usually have a voltage that exceeds their marked rating the camera can easily run on the 5 volts that the center terminal of our L298 motor controller provides.';
catalog['This video shows you how to reduce the complexity of your Bit-zee while improving the speed of your Bit-zee digital camera.'] = 'This video shows you how to reduce the complexity of your Bit-zee while improving the speed of your Bit-zee digital camera.';
catalog['This video was not found! Please contact your teacher or an admin to have it downloaded.'] = 'Video wurde nicht gefunden! Bitte kontaktiere Deinen Lehrer oder Admin um es herunterzuladen.';
catalog['This video was not found! You can download it by going to the Update page.'] = 'Video wurde nicht gefunden! Du kannst es herunterladen, indem Du zur Aktualisieren-Seite gehst.';
catalog['This video was not found! You must login as an admin/teacher to download the video.'] = 'Video wurde nicht gefunden! Du musst als Administrator / Lehrer einloggt sein, um es herunterzuladen.';
catalog['This will be your first introduction to the idea of fractions.  You\'ll learn what they are and what they can represent.  Then in 4th and 5th grades, you\'ll learn to compute with them.'] = 'Dies wird deine erste Einf\u00fchrung in die Idee von Br\u00fcchen. Du lernst was sie sind und was sie darstellen k\u00f6nnen. Dann, in der vierten und f\u00fcnften Klasse, wirst du lernen wie man sie berechnet.';
catalog['Thomas Cole, Expulsion from the Garden of Eden, 1828, oil on canvas, 100.96 x 138.43 cm / 39-3/4 x 54-1/2 inches (Museum of Fine Arts, Boston)'] = 'Thomas Cole, Expulsion from the Garden of Eden, 1828, oil on canvas, 100.96 x 138.43 cm / 39-3/4 x 54-1/2 inches (Museum of Fine Arts, Boston)';
catalog['Thomas Cole, View from Mount Holyoke,Northampton, Massachusetts, after a Thunderstorm\u2014The Oxbow, oil on canvas, 1836 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris'] = 'Thomas Cole, View from Mount Holyoke,Northampton, Massachusetts, after a Thunderstorm\u2014The Oxbow, oil on canvas, 1836 (Metropolitan Museum of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris';
catalog['Thomas Couture, Romans of the Decadence, 1847 (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker\n\nFor more art history videos visit smarthistory.org'] = 'Thomas Couture, Romans of the Decadence, 1847 (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker\n\nFor more art history videos visit smarthistory.org';
catalog['Thomas Friedman - Author'] = 'Thomas Friedman - Autor';
catalog['Thomas Lanigan-Schmidt brings us into his NYC studio. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = 'Thomas Lanigan-Schmidt brings us into his NYC studio. To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Thomas Malthus\'s views on population.  Malthusian limits.'] = 'Malthus \'s Erkenntnisse \u00fcber Populationen.  Malthusianische Grenzen.';
catalog['Thomas Young\'s Double Slit Experiment'] = 'Thomas Young\'s Doppelspalt-Experiment';
catalog['Thomas malthus and population growth'] = 'Thomas malthus and population growth';
catalog['Though we might not notice it, frames affect how we see a painting. To learn about how art changes over time, enroll in one of <a data-cke-saved-href="http://www.moma.org/learn/courses/online#none" href="http://www.moma.org/learn/courses/online#none">MoMA\'s courses online.</a>'] = 'Though we might not notice it, frames affect how we see a painting. To learn about how art changes over time, enroll in one of <a data-cke-saved-href="http://www.moma.org/learn/courses/online#none" href="http://www.moma.org/learn/courses/online#none">MoMA\'s courses online.</a>';
catalog['Thoughts on education'] = 'Gedanken \u00fcber Ausbildung';
catalog['Three Equation Application Problem'] = 'Anwendungsproblem mit drei Gleichungen';
catalog['Three Futurists: Balla, Severini and Boccioni'] = 'Drei Futuristen: Balla, Severini und Boccioni';
catalog['Three components of emotion and the universal emotions'] = 'Three components of emotion and the universal emotions';
catalog['Three core financial statements'] = 'Die drei wichtigsten Finanzberichte';
catalog['Three equation application problem'] = 'Anwendungsproblem mit drei Gleichungen';
catalog['Three example problems involving isosceles and equilateral triangles. 2 from Art of Problem Solving (by Richard Rusczyk) book'] = 'Three example problems involving isosceles and equilateral triangles. 2 from Art of Problem Solving (by Richard Rusczyk) book';
catalog['Three example problems involving perimeter and area'] = 'Drei Beispiele mit Umfang und Fl\u00e4che';
catalog['Three forces of change gather momentum and help create the modern world, transforming the biosphere.<br>'] = 'Three forces of change gather momentum and help create the modern world, transforming the biosphere.<br>';
catalog['Three paintings by Jacques-Louis David'] = 'Three paintings by Jacques-Louis David';
catalog['Three points defining a circle'] = 'Drei Punkte definieren einen Kreis';
catalog['Three points uniquely define a circle. The center of a circle is the circumcenter of any triangle the circle is circumscribed about.'] = 'Three points uniquely define a circle. The center of a circle is the circumcenter of any triangle the circle is circumscribed about.';
catalog['Three types of capillaries'] = 'Three types of capillaries';
catalog['Three types of flu'] = 'Three types of flu';
catalog['Three types of muscle'] = 'Three types of muscle';
catalog['Three way tug of war vectors'] = 'Three way tug of war vectors';
catalog['Threshold 1: The Big Bang'] = 'Threshold 1: The Big Bang';
catalog['Threshold 2: Stars light up'] = 'Threshold 2: Stars light up';
catalog['Threshold 3: New chemical elements'] = 'Threshold 3: New chemical elements';
catalog['Threshold 4: Earth and the solar system'] = 'Threshold 4: Earth and the solar system';
catalog['Threshold 7: Agriculture'] = 'Threshold 7: Agriculture';
catalog['Threshold 8: The modern revolution'] = 'Threshold 8: The modern revolution';
catalog['Threshold 9: The future'] = 'Threshold 9: The future';
catalog['Thresholds of increasing complexity result in the creation of something fragile, diverse, precise, and entirely new in the Universe.'] = 'Thresholds of increasing complexity result in the creation of something fragile, diverse, precise, and entirely new in the Universe.';
catalog['Thrombo-emboli and thromboembolisms'] = 'Thrombo-emboli and thromboembolisms';
catalog['Through a diversity of chemical elements and the perfect conditions on Earth, life mysteriously appeared.'] = 'Through a diversity of chemical elements and the perfect conditions on Earth, life mysteriously appeared.';
catalog['Through the ages, astronomers have used the tools of their time to understand the origin and structure of the Universe. Their views built upon one another, leading to our modern view of the Universe.'] = 'Through the ages, astronomers have used the tools of their time to understand the origin and structure of the Universe. Their views built upon one another, leading to our modern view of the Universe.';
catalog['Thutmose, Model Bust of Queen Nefertiti, c. 1340 BCE, limestone and plaster, New Kingdom, 18th dynasty, Amarna Period (Egyptian Museum and Papyrus Collection/Neues Museum, Berlin)'] = 'Thutmose, Model Bust of Queen Nefertiti, c. 1340 BCE, limestone and plaster, New Kingdom, 18th dynasty, Amarna Period (Egyptian Museum and Papyrus Collection/Neues Museum, Berlin)';
catalog['Time Active (s)'] = 'Time Active (s)';
catalog['Time Session Completed'] = 'Time Session Completed';
catalog['Time and money'] = 'Zeit und Geld';
catalog['Time before volleyball practice'] = 'Freizeit zwischen Schultest und Volleyball';
catalog['Time exercise completed'] = 'Time exercise completed';
catalog['Time scale of the cosmos'] = 'Die Zeitskala des Kosmos';
catalog['Time space tradeoff'] = 'Zeit-Speicher-Kompromiss';
catalog['Time to leave for home'] = 'Zeitgerecht weggehen';
catalog['Time value of money'] = 'Time value of money';
catalog['Time video completed'] = 'Time video completed';
catalog['Timeline plot'] = 'Timeline plot';
catalog['Tintoretto, Last Supper'] = 'Tintoretto, Last Supper';
catalog['Tintoretto, The Finding of the Body of Saint Mark, c. 1562-66'] = 'Tintoretto, The Finding of the Body of Saint Mark, c. 1562-66';
catalog['Tintoretto, the Miracle of the Slave'] = 'Tintoretto, the Miracle of the Slave';
catalog['Tintoretto, the Origin of the Milky Way'] = 'Tintoretto, the Origin of the Milky Way';
catalog['Tired of "standard multiplication".  In this tutorial we\'ll explore a different way.  Not only is lattice multiplication interesting, it\'ll help us appreciate that there are many ways to do things.  We\'ll also try to grasp why it works in the first place.  Enjoy!'] = 'M\u00fcde von der "Standard Multiplikation".  In diesem Tutorial werden wir eine andere Art und Weise untersuchen. "Gitter-Multiplikation" ist nicht nur interessant, sie hilft uns zu sch\u00e4tzen, dass es viele M\u00f6glichkeiten gibt, Dinge zu tun.  Wir werden auch versuchen zu begreifen, warum es \u00fcberhaupt funktioniert.  Viel Spa\u00df!';
catalog['Tired of hairy exponent expressions?  Feel compelled to clean them up?  Well, this tutorial might just give you the tools you need.\n\nIf you know a bit about exponents, you\'ll learn a ton more in this tutorial as you learn about the rules for simplifying exponents.'] = 'M\u00fcde von der ganzen haarigen Rechnerei mit Exponenten? M\u00f6chtest du mehr Durchblick haben? Nun, dieses Tutorial kann dir nur alle Werkzeuge geben, die du brauchen wirst. Wenn du schon ein bisschen was \u00fcber Exponenten wei\u00dft, wirst du eine Menge mehr in diesem Tutorial lernen, wenn du die Regeln f\u00fcr die Vereinfachung von Exponenten lernst.';
catalog['Tired of hairy exponent expressions?  Feel compelled to clean them up?  Well, this tutorial might just give you the tools you need.\n\nIf you know a bit about exponents, you\'ll learn a ton more in this tutorial as you learn about the rules for simplifying exponents.\n\nCommon Core Standards: 8.EE.A.1'] = 'M\u00fcde von der ganzen haarigen Rechnerei mit Exponenten? M\u00f6chtest du mehr Durchblick haben? Nun, dieses Tutorial kann dir alle Werkzeuge geben, die du brauchen wirst. \n\nWenn du schon ein bisschen was \u00fcber Exponenten wei\u00dft, wirst du eine Menge mehr in diesem Tutorial lernen, wenn du die Regeln f\u00fcr die Vereinfachung von Exponenten lernst.\n\nCommon Core Standards: 8.EE.A.1';
catalog['Tired of linear systems?  Well, we might just bring a little nonlinearity into your life, honey. (You might want to brush up on your solving quadratics before tackling the non-linear systems.)  As always, try to pause the videos and do them before Sal does!'] = 'Hast du lineare Systeme satt?  Wir k\u00f6nnen nun ein wenig Nichtlinearit\u00e4t in dein Leben bringen (Vielleicht m\u00f6chtest du vor dem Kampf gegen die nicht-lineare Systeme aber lieber nochmal auffrischen, wie man quadratische Gleichungen l\u00f6st).  Wie auch immer, versuche die Videos anzuhalten und die Beispiele zu tun, bevor Cal es tut!';
catalog['Tired of lines?  Not sure if a parabola is a disease of the gut or a new mode of transportation? Ever wondered what would happen to the graph of a function if you stuck an x\u00b2 someplace?  Well, look no further.\n\nIn this tutorial, we will study the graphs of quadratic functions (parabolas), including their foci and whatever the plural of directrix is.'] = 'Gelangweilt von Linien? Nicht sicher, ob eine Parabel eine Darmkrankheit oder ein neueartiges Bef\u00f6rderungsmittel ist? Hast du dich schon immer gefragt, was mit dem Graphen einer Funktion passiert, wenn du irgendwo ein x^2 dranklebst? Dann bist du hier richtig.\n\nIn diesem Tutorial werden wir die Graphen von quadratischen Funktonen untersuchen (Parabeln), einschlie\u00dflich ihrer Leitebene und Fokusse.';
catalog['Tired of perimeter and area and now want to measure 3-D space-take-upness.  Well you\'ve found the right tutorial.  Enjoy!'] = 'Bist du gelangweilt von Umfang und Fl\u00e4cheninhalt und willst endlich 3-D Raumeinnehmer messen? Gut, dann hast du den richtigen Ort gefunden. Genie\u00df es!';
catalog['Tired of perimeter and area and now want to measure 3-D space-take-upness. Well you\'ve found the right tutorial. Enjoy!\n\nCommon Core Standards: \n\n5.MD.C.3, 5.MD.C.3a, 5.MD.C.3b, 5.MD.C.4, 5.MD.C.5, 5.MD.C.5a, 5.MD.C.5b\t, 5.MD.C.5c\t'] = 'Hast du genug von Umfang und Fl\u00e4cheninhalt und m\u00f6chtest jetzt messen, wieviel Raum etwas in 3D einnimmt? Dann hast du das richtige Tutorial gefunden. Viel Spa\u00df!\n\nCommon Core Standards: \n\n5.MD.C.3, 5.MD.C.3a, 5.MD.C.3b, 5.MD.C.4, 5.MD.C.5, 5.MD.C.5a, 5.MD.C.5b\t, 5.MD.C.5c\t';
catalog['Titian and Palma il Giovane, Piet&agrave;, c. 1570-76, oil on canvas, 11&#39;6&quot; x 12&#39;9&quot; (Galleria Dell&#39;Accademia, Venice)'] = 'Titian and Palma il Giovane, Piet&agrave;, c. 1570-76, oil on canvas, 11&#39;6&quot; x 12&#39;9&quot; (Galleria Dell&#39;Accademia, Venice)';
catalog['Titian,  Madonna of the Pesaro Family, 1519-26, oil on canvas, 16\' x 9\' (Santa Maria Gloriosa die Frari, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker'] = 'Titian,  Madonna of the Pesaro Family, 1519-26, oil on canvas, 16\' x 9\' (Santa Maria Gloriosa die Frari, Venice)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker';
catalog['Titian, Assumption of the Virgin'] = 'Titian, Assumption of the Virgin';
catalog['Titian, Assumption of the Virgin, c. 1516-18, oil on wood,  22\' 6" x 11\' 10" (Santa Maria Gloriosa dei Frari, Venice)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris'] = 'Titian, Assumption of the Virgin, c. 1516-18, oil on wood,  22\' 6" x 11\' 10" (Santa Maria Gloriosa dei Frari, Venice)\n\nSpeakers: Dr. Steven Zucker & Dr. Beth Harris';
catalog['Titian, Bacchus and Ariadne'] = 'Titian, Bacchus und Ariadne';
catalog['Titian, Bacchus and Ariadne, 1523-24, oil on canvas now atop board, 69-1/2 x 75 inches (National Gallery, London).\n\nPart of a mythological cycle painted by Titian and Giovanni Bellini and commissioned by Alfonso d\'Este, Duke of Ferrara that includes The Feast of the Gods and the Andrians. Originally hung in the studiolo or Camerini d\'Alabastro of the Duke\'s Ferranese castle.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://smarthistory.org/titians-bacchus-and-ariadne.html'] = 'Titian, Bacchus and Ariadne, 1523-24, oil on canvas now atop board, 69-1/2 x 75 inches (National Gallery, London).\n\nPart of a mythological cycle painted by Titian and Giovanni Bellini and commissioned by Alfonso d\'Este, Duke of Ferrara that includes The Feast of the Gods and the Andrians. Originally hung in the studiolo or Camerini d\'Alabastro of the Duke\'s Ferranese castle.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://smarthistory.org/titians-bacchus-and-ariadne.html';
catalog['Titian, Christ Crowned with Thorns'] = 'Titian, Christ Crowned with Thorns';
catalog['Titian, Christ Crowned with Thorns, ca. 1570--76, oil on canvas, 280 \u00d7 182 cm. (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Titian, Christ Crowned with Thorns, ca. 1570--76, oil on canvas, 280 \u00d7 182 cm. (Alte Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Titian, Madonna of the Pesaro Family'] = 'Tizian, Madonna der Familie Pesaro';
catalog['Titian, Noli me Tangere'] = 'Titian, Noli me Tangere';
catalog['Titian, Noli me Tangere, c. 1514, oil on canvas, 110.5 x 91.9 cm (The National Gallery, London)'] = 'Titian, Noli me Tangere, c. 1514, oil on canvas, 110.5 x 91.9 cm (The National Gallery, London)';
catalog['Titian, Pieta,  c. 1570-76'] = 'Titian, Pieta,  c. 1570-76';
catalog['Titian, Venus of Urbino'] = 'Tizian, Venus von Urbino';
catalog['Titian, Venus of Urbino, 1538, oil on canvas, 119.20 x 165.50 cm (Galleria degli Uffizi, Florence)'] = 'Titian, Venus of Urbino, 1538, oil on canvas, 119.20 x 165.50 cm (Galleria degli Uffizi, Florence)';
catalog['Titration roundup'] = 'Titration roundup';
catalog['To celebrate the opening of the new Tate Britain, Tate invited Fashion photographer Miles Aldridge to create a series of photographic prints, inspired by art. &nbsp;Aldridge chose Mark Gertler&#39;s painting <em>Merry-Go-Round</em>, from 1916, and in this film we follow his creative process as he re-imagines it through his lens.&nbsp;Painted at the height of the First World War, Gertler&#39;s painting shows rigid figures, seemingly trapped on an endlessly-revolving carousel. &nbsp;Gertler lived near London&#39;s Hampstead Heath, and the image may relate to an annual fair held there for wounded soldiers.<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.'] = 'To celebrate the opening of the new Tate Britain, Tate invited Fashion photographer Miles Aldridge to create a series of photographic prints, inspired by art. &nbsp;Aldridge chose Mark Gertler&#39;s painting <em>Merry-Go-Round</em>, from 1916, and in this film we follow his creative process as he re-imagines it through his lens.&nbsp;Painted at the height of the First World War, Gertler&#39;s painting shows rigid figures, seemingly trapped on an endlessly-revolving carousel. &nbsp;Gertler lived near London&#39;s Hampstead Heath, and the image may relate to an annual fair held there for wounded soldiers.<br />\n<br />\nThe film is one of a series in which leading creatives share artworks from Tate Britain&#39;s collection that have inspired them.';
catalog['To connect to this installation of KA Lite from another computer over the network, try these addresses:'] = 'To connect to this installation of KA Lite from another computer over the network, try these addresses:';
catalog['To continue, you must first add a facility (e.g. for your school). '] = 'Um fortzufahren, m\u00fcssen Sie zuerst eine Einrichtung registrieren (z.B. f\u00fcr Ihre Schule). ';
catalog['To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a> or enroll in the online course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary&nbsp;Art:&nbsp;1945-1989</a>.'] = 'To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a> or enroll in the online course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary&nbsp;Art:&nbsp;1945-1989</a>.';
catalog['To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a> or learn more about the art of this time in the online history course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern and Contemporary Art: 1945-1989</a>.'] = 'To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a> or learn more about the art of this time in the online history course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern and Contemporary Art: 1945-1989</a>.';
catalog['To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.&nbsp;'] = 'To experiment on your own, take our online studio course <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course9" href="http://www.moma.org/learn/courses/online#course9">Materials and Techniques of Postwar Abstract Painting</a>.&nbsp;';
catalog['To learn about other great moments in modern art, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a> or <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course7" href="http://www.moma.org/learn/courses/online#course7">Pigment to Pixel: Color in Modern and Contemporary Art.</a>'] = 'To learn about other great moments in modern art, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a> or <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course7" href="http://www.moma.org/learn/courses/online#course7">Pigment to Pixel: Color in Modern and Contemporary Art.</a>';
catalog['To learn about other great moments in modern art, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a> or <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course7" href="http://www.moma.org/learn/courses/online#course7">Pigment to Pixel: Color in Modern and Contemporary Art</a>.'] = 'To learn about other great moments in modern art, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a> or <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course7" href="http://www.moma.org/learn/courses/online#course7">Pigment to Pixel: Color in Modern and Contemporary Art</a>.';
catalog['To learn about other great moments in modern art, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a> or <a data-cke-saved-href="http://www.moma.org/learn/courses/online#none" href="http://www.moma.org/learn/courses/online#none">Pigment to Pixel: Color in Modern and Contemporary Art.</a>'] = 'To learn about other great moments in modern art, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a> or <a data-cke-saved-href="http://www.moma.org/learn/courses/online#none" href="http://www.moma.org/learn/courses/online#none">Pigment to Pixel: Color in Modern and Contemporary Art.</a>';
catalog['To learn about other great moments in modern art, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a>.'] = 'To learn about other great moments in modern art, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a>.';
catalog['To learn more about how abstract artists became the radical thinkers of their time, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a> or <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course7" href="http://www.moma.org/learn/courses/online#course7">Pigment to Pixel: Color in Modern and Contemporary Art</a>.'] = 'To learn more about how abstract artists became the radical thinkers of their time, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a> or <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course7" href="http://www.moma.org/learn/courses/online#course7">Pigment to Pixel: Color in Modern and Contemporary Art</a>.';
catalog['To learn more about how abstract artists became the radical thinkers of their time, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a>.'] = 'To learn more about how abstract artists became the radical thinkers of their time, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course10" href="http://www.moma.org/learn/courses/online#course10">Modern Art, 1880-1945</a>.';
catalog['To learn more about the history of sound, video and performance art, enroll in our online courses, including&nbsp;<a data-cke-saved-href="http://www.moma.org/learn/courses/online#course8" href="http://www.moma.org/learn/courses/online#course8">Five Puzzles of Contemporary Art</a>.'] = 'To learn more about the history of sound, video and performance art, enroll in our online courses, including&nbsp;<a data-cke-saved-href="http://www.moma.org/learn/courses/online#course8" href="http://www.moma.org/learn/courses/online#course8">Five Puzzles of Contemporary Art</a>.';
catalog['To make your life interesting, we\'ll now use the word "homogeneous" in a way that is not connected to the way we used the term when talking about first-order equations.  As you\'ll see, second order linear homogeneous equations can be solved with a little bit of algebra (and a lot of love).'] = 'Um dein Leben interessant zu machen, nutzen wir jetzt das Wort "homogen" in einer Weise, die nicht vergleichbar ist mit Gleichungen erster Ordnung.  Wie du sehen wirst, k\u00f6nnen lineare homogene Gleichungen zweiter Ordnung mit ein wenig Algebra (und viel Liebe) gel\u00f6st werden.';
catalog['To understand what&#39;s going on, let&#39;s try one light at a time. With only the red light, why do we get a black shadow?'] = 'To understand what&#39;s going on, let&#39;s try one light at a time. With only the red light, why do we get a black shadow?';
catalog['Today maiolica is still made in many of the same Italian towns and workshops in which it was created five hundred years ago during the Renaissance and methods have changed very little. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Today maiolica is still made in many of the same Italian towns and workshops in which it was created five hundred years ago during the Renaissance and methods have changed very little. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Today, we know the city of Constantinople as Istanbul (in fact there\u2019s a song about that!). But even before it was Constantinople, it was the ancient city of Byzantium, and it was renamed Constantinople (city of Constantine) by none other than the Emperor Constantine himself (it\u2019s good to be the emperor!). From there a succession of emperors ruled the Byzantine empire as the Roman empire dissolved. For two centuries, the Byzantine empire even included the Italian city of Ravenna, where  many churches decorated with astoundingly beautiful mosaics can still be found. In Byzantine art we see a departure from the naturalism of the ancient Greek and Roman world. Figures float in ethereal gold heavenly spaces in mosaics, and we find intricate carvings made from ivory, a luxurious material imported from Africa.'] = 'Today, we know the city of Constantinople as Istanbul (in fact there\u2019s a song about that!). But even before it was Constantinople, it was the ancient city of Byzantium, and it was renamed Constantinople (city of Constantine) by none other than the Emperor Constantine himself (it\u2019s good to be the emperor!). From there a succession of emperors ruled the Byzantine empire as the Roman empire dissolved. For two centuries, the Byzantine empire even included the Italian city of Ravenna, where  many churches decorated with astoundingly beautiful mosaics can still be found. In Byzantine art we see a departure from the naturalism of the ancient Greek and Roman world. Figures float in ethereal gold heavenly spaces in mosaics, and we find intricate carvings made from ivory, a luxurious material imported from Africa.';
catalog['Today\'s amazing biodiversity all began with a common single-celled ancestor billions of years ago.'] = 'Today\'s amazing biodiversity all began with a common single-celled ancestor billions of years ago.';
catalog['Toggler brain teaser'] = 'Toggler brain teaser';
catalog['Tom Brokaw interviews Sal at Education Nation 2011'] = 'Tom Brokaw interviewt Sal bei Education Nation 2011';
catalog['Tongue-tied baby dragon'] = 'Tongue-tied baby dragon';
catalog['Tonicity - comparing 2 solutions'] = 'Tonicity - comparing 2 solutions';
catalog['Too many topics; please select fewer topics and retry.'] = 'Too many topics; please select fewer topics and retry.';
catalog['Tools and parts to build a Spout'] = 'Tools and parts to build a Spout';
catalog['Tools of the Central Bank to increase the money supply.'] = 'Tools of the Central Bank to increase the money supply.';
catalog['Top of the World, Ma'] = 'Top of the World, Ma';
catalog['Topic'] = 'Topic';
catalog['Topics Selected'] = 'Topics Selected';
catalog['Topics covered in a first year course in differential equations.  Need to understand basic differentiation and integration from Calculus playlist before starting here.'] = 'Themen im Umfang einer ersten Vorlesung \u00fcber Differentialgleichungen. Vorkenntnisse aus der Differentialrechnung \u00fcber das Differenzieren und Integrieren sind hierf\u00fcr notwendig.';
catalog['Topics covered in a traditional college level introductory macroeconomics course'] = 'Die Themen entsprechen dem Niveau einer Einf\u00fchrungsvorlesung in die Makro\u00f6konomie';
catalog['Topics covered in a traditional college level introductory microeconomics course'] = 'Themen im Niveau einer Einf\u00fchrungsvorlesung in die Mikro\u00f6konomie';
catalog['Topics covered in the first two or three semesters of college calculus.  Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)'] = 'Themen aus der Analysis f\u00fcr die Oberstufe. Von Grenzwerten, Ableitungen und Integralen bis hin zur Vektorrechnung. Die Themen aus der Vorbereitung zur Analysis sollten gut verstanden sein (die Videos zu Grenzwerten sind in beiden Themenbl\u00f6cken enthalten)';
catalog['Topics'] = 'Topics';
catalog['Torque, moments and angular momentum'] = 'Torque, moments and angular momentum';
catalog['Total consumer surplus as area'] = 'Total consumer surplus as area';
catalog['Total displacement for projectile'] = 'Total displacement for projectile';
catalog['Total displacement while hiking'] = 'Total displacement while hiking';
catalog['Total distance traveled by a particle'] = 'Total distance traveled by a particle';
catalog['Total final velocity for projectile'] = 'Total final velocity for projectile';
catalog['Total interest from multiple loans'] = 'Gesamtzinsen mehrerer Kredite';
catalog['Total internal reflection'] = 'Total internal reflection';
catalog['Total revenue and elasticity'] = 'Total revenue and elasticity';
catalog['Total seats in a theater'] = 'Gesamtzahl der Sitze in einem Theater';
catalog['Total seconds spent watching a video.'] = 'Total seconds spent watching a video.';
catalog['Total time spent actively logged in.'] = 'Total time spent actively logged in.';
catalog['Toulouse-Lautrec, At the Moulin Rouge'] = 'Toulouse-Lautrec, At the Moulin Rouge';
catalog['Toward the high Renaissance'] = 'Toward the high Renaissance';
catalog['Towering mountains and trembling earthquakes, the surface of our Earth is constantly in motion. Plate tectonics is responsible for the shape and position of our land.'] = 'Towering mountains and trembling earthquakes, the surface of our Earth is constantly in motion. Plate tectonics is responsible for the shape and position of our land.';
catalog['Towers of Babel '] = 'Towers of Babel ';
catalog['Towers of glass and steel from the mid-20th Century suggest, for many people, the rationalization of urban space that dehumanized our cities with empty plazas, rigorous geometries and uniformity. But International style architecture was born of the utopian idea that innovative design could improve the lives millions and its forms recall the clarity and harmony of ancient Greek architecture. This tutorial treats the late work of Ludwig Mies van der Rohe, Gordon Bunshaft, and Frank Lloyd Wright.'] = 'Towers of glass and steel from the mid-20th Century suggest, for many people, the rationalization of urban space that dehumanized our cities with empty plazas, rigorous geometries and uniformity. But International style architecture was born of the utopian idea that innovative design could improve the lives millions and its forms recall the clarity and harmony of ancient Greek architecture. This tutorial treats the late work of Ludwig Mies van der Rohe, Gordon Bunshaft, and Frank Lloyd Wright.';
catalog['Trace the legacy of Babylonian discoveries and ideas, including their mathematical system based on 60 and their desire to predict the future. With British Museum curator Irving Finkel.<br>'] = 'Trace the legacy of Babylonian discoveries and ideas, including their mathematical system based on 60 and their desire to predict the future. With British Museum curator Irving Finkel.<br>';
catalog['Tracing the colors of ancient sculpture'] = 'Tracing the colors of ancient sculpture';
catalog['Track the progress of your students'] = 'Track the progress of your students';
catalog['Tradeoffs for a hunter gatherer and the production possibilities frontier.  Ceteris Paribus'] = 'Kompromisse f\u00fcr einen J\u00e4ger und Sammler und die Transformationskurve. Ceteris Paribus';
catalog['Traditional IRAs'] = 'Traditional IRAs';
catalog['Tragedy of the commons'] = 'Tragedy of the commons';
catalog['Trains passing at different rates.'] = 'Z\u00fcge, die mit unterschiedlichen Geschwindigkeiten aufeinander zukommen.';
catalog['Trait theory'] = 'Trait theory';
catalog['Transfer pricing and tax havens'] = 'Transfer pricing and tax havens';
catalog['Transformation matrix for position vector'] = 'Transformation matrix for position vector';
catalog['Transformation matrix with respect to a basis'] = 'Transformation matrix with respect to a basis';
catalog['Transformation puzzles 1'] = 'Transformation puzzles 1';
catalog['Transformation puzzles 2'] = 'Transformation puzzles 2';
catalog['Transformation puzzles 3'] = 'Transformation puzzles 3';
catalog['Transformations and congruence'] = 'Transformationen und Kongruenz';
catalog['Transformations and matrix multiplication'] = 'Transformations and matrix multiplication';
catalog['Transformations on the coordinate plane'] = 'Transformationen im Koordinatensystem';
catalog['Transformations'] = 'Transformationen';
catalog['Transforming a quadrilateral'] = 'Transforming a quadrilateral';
catalog['Transforming polygons'] = 'Umwandlung von Polygonen';
catalog['Transforms and the Laplace transform in particular. Convolution integrals.'] = 'Transformationen, insbesondere die Laplace Transformation. Das Faltungsintegral.';
catalog['Transition to agriculture'] = 'Transition to agriculture';
catalog['Translating speed units'] = 'Umwandeln von Geschwindigkeiten in verschiedenen Einheiten';
catalog['Translations of polygons'] = 'Verschiebung von Polygonen';
catalog['Transpose a matrix'] = 'Eine Matrix transponieren';
catalog['Transpose of a column vector.  Matrix-matrix products using vectors'] = 'Transpose of a column vector.  Matrix-matrix products using vectors';
catalog['Transpose of a matrix product'] = 'Transpose of a matrix product';
catalog['Transpose of a matrix'] = 'Die Transponierte einer Matrix';
catalog['Transpose of a vector'] = 'Transpose of a vector';
catalog['Transposes of sums and inverses'] = 'Transposes of sums and inverses';
catalog['Trapezoidal approximation of area under curve'] = 'Trapezoidal approximation of area under curve';
catalog['Travel through time in a rowboat to consider some of the "mini-thresholds" in the development of life on Earth.'] = 'Travel through time in a rowboat to consider some of the "mini-thresholds" in the development of life on Earth.';
catalog['Travelers and explorers came back from the corners of the earth with fantastic stories and new ideas and technologies. Their adventures, and they were true adventures, offer insight into the newly connected world.'] = 'Travelers and explorers came back from the corners of the earth with fantastic stories and new ideas and technologies. Their adventures, and they were true adventures, offer insight into the newly connected world.';
catalog['Treasury bond prices and yields'] = 'Treasury bond prices and yields';
catalog['Treating units algebraically and dimensional analysis'] = 'Algebraische Behandlung von Einheiten und Dimensionsanalyse';
catalog['Treatment of Active TB'] = 'Treatment of Active TB';
catalog['Tree diagram to count outcomes'] = 'Baumdiagramm um Ergebnisse zu z\u00e4hlen';
catalog['Tree of life'] = 'Stammbaum';
catalog['Trenceto'] = 'Trenceto';
catalog['Trends in categorical data'] = 'Trends in categorical data';
catalog['Triangle angle example 1'] = 'Dreieck-Winkel Beispiel 1';
catalog['Triangle angle example 2'] = 'Dreieck-Winkel Beispiel 2';
catalog['Triangle angle example 3'] = 'Dreieck-Winkel Beispiel 3';
catalog['Triangle angle properties'] = 'Eigenschaften von Dreieckswinkeln';
catalog['Triangle angles 1'] = 'Winkel von Dreiecken 1';
catalog['Triangle angles'] = 'Winkel eines Dreiecks';
catalog['Triangle area proofs'] = 'Fl\u00e4che f\u00fcr Dreieck - Beweis';
catalog['Triangle inequality theorem'] = 'Die Dreiecksungleichung';
catalog['Triangle medians and centroids (2D proof)'] = 'Triangle medians and centroids (2D proof)';
catalog['Triangle medians and centroids'] = 'Triangle medians and centroids';
catalog['Triangle similarity and constant slope'] = '\u00c4hnlichkeit von Dreiecken und konstante Steigung';
catalog['Triangle similarity and slope'] = '\u00c4hnlichkeit von Dreiecken und Steigung';
catalog['Triangle similarity in pool'] = 'Triangle similarity in pool';
catalog['Triangle similarity'] = '\u00c4hnlichkeit von Dreiecken';
catalog['Triangle types'] = 'Arten von Dreiecken';
catalog['Triangles are not always right (although they are never wrong), but when they are it opens up an exciting world of possibilities.  Not only are right triangles cool in their own right (pun intended), they are the basis of very important ideas in analytic geometry (the distance between two points in space) and trigonometry.'] = 'Dreiecke haben nicht immer einen rechten Winkel (und dennoch niemals einen falschen), aber wenn sie einen haben, dann er\u00f6ffnet sich damit eine Riesenauswahl an mathematischen M\u00f6glichkeiten. Rechtwinklige Dreiecke sind nicht nur cool an sich, sie sind auch der Ausgangspunkt einiger sehr wichtiger Konzepte der analytischen Geometrie und der Trigonometrie.';
catalog['Triangles!'] = 'Dreiecke!';
catalog['Trig and u substitution together (part 1)'] = 'Trig and u substitution together (part 1)';
catalog['Trig and u substitution together (part 2)'] = 'Trig and u substitution together (part 2)';
catalog['Trig functions of special angles'] = 'Trig functions of special angles';
catalog['Trig identies part 3 (part 5 if you watch the proofs)'] = 'Trig identies part 3 (part 5 if you watch the proofs)';
catalog['Trig identities and examples'] = 'Trigonometrische Identit\u00e4ten und Beispiele';
catalog['Trig identities part 2 (part 4 if you watch the proofs)'] = 'Trig identities part 2 (part 4 if you watch the proofs)';
catalog['Trig identities'] = 'Trigonometrische Identit\u00e4ten';
catalog['Trig problems on the unit circle'] = 'Trig problems on the unit circle';
catalog['Trig ratio application problems'] = 'Trigonometrisches Verh\u00e4ltnis - Anwendungsprobleme';
catalog['Trig ratios and similarity'] = 'Trigonometrischen Verh\u00e4ltnisse und \u00c4hnlichkeit';
catalog['Trig substitution with tangent'] = 'Trig substitution with tangent';
catalog['Trig substitution'] = 'Trigonometrische Ersetzung';
catalog['Trigonometric functions and side ratios in right triangles'] = 'Trigonometrische Funktionen und Seitenverh\u00e4ltnisse in rechtwinkligen Dreiecken';
catalog['Trigonometric functions of special angles'] = 'Trigonometric functions of special angles';
catalog['Trigonometric identities'] = 'Trigonometrische Identit\u00e4ten';
catalog['Trigonometric ratios and similarity'] = 'Trigonometrische Verh\u00e4ltnisse und \u00c4hnlichkeit';
catalog['Trigonometric substitution'] = 'Trigonometrische Ersetzung';
catalog['Trigonometric system example'] = 'Trigonometric system example';
catalog['Trigonometry 0.5'] = 'Trigonometrie 0.5';
catalog['Trigonometry 1'] = 'Trigonometrie 1';
catalog['Trigonometry 1.5'] = 'Trigonometrie 1.5';
catalog['Trigonometry 2'] = 'Trigonometrie 2';
catalog['Trigonometry and geometry to find the area of an equilateral (but not regular) hexagon'] = 'Trigonometry and geometry to find the area of an equilateral (but not regular) hexagon';
catalog['Trigonometry identity review/fun'] = 'Trigonometrische Formelsammlung Wiederholung/Spa\u00df';
catalog['Trigonometry'] = 'Trigonometrie';
catalog['Triple bonds cause linear configurations'] = 'Triple bonds cause linear configurations';
catalog['Triple integrals 1'] = 'Triple integrals 1';
catalog['Triple integrals 2'] = 'Triple integrals 2';
catalog['Triple integrals 3'] = 'Dreifach Integrale 3';
catalog['Triple integrals'] = 'Dreifache Integrale';
catalog['Trolls, tolls, and systems of equations'] = 'Trolle, Stra\u00dfengeb\u00fchren und Gleichungssysteme';
catalog['Troost, House of German Art and the Entartete Kunst exhibition'] = 'Troost, House of German Art and the Entartete Kunst exhibition';
catalog['Tropomyosin and troponin and their role in regulating muscle contraction'] = 'Tropomyosin and troponin and their role in regulating muscle contraction';
catalog['Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.'] = 'Tropomyosin and troponin and their role in regulating muscle contraction. How calcium ion concentration dictates whether a muscle is contracting or not.';
catalog['Try out some more word problems to practice with negative numbers & absolute value.  '] = 'Try out some more word problems to practice with negative numbers & absolute value.  ';
catalog['Trying to give my fingers some rest by answering things verbally'] = 'Ich versuche meinen Fingern eine Auszeit zu geben, indem ich Dinge m\u00fcndlich beantworte';
catalog['Tuberculosis'] = 'Tuberculosis';
catalog['Tumor suppressors'] = 'Tumor suppressors';
catalog['Turn light into sound'] = 'Turn light into sound';
catalog['Turn sound into light and back again'] = 'Turn sound into light and back again';
catalog['Turn sound into light and then back again with a few simple materials.'] = 'Turn sound into light and then back again with a few simple materials.';
catalog['Turner, Slave Ship'] = 'Turner, Slave Ship';
catalog['Turner, rain, steam, and speed \u2013 the great western railway'] = 'Turner, rain, steam, and speed \u2013 the great western railway';
catalog['Turning a Hobby into a Bright Business'] = 'Turning a Hobby into a Bright Business';
catalog['Turning a non-linear equation into a linear one.'] = 'Eine nicht lineare Gleichung in eine lineare umwandeln.';
catalog['Turning a rational equation into a linear equation.'] = 'Eine rationale Gleichung in eine lineare Gleichung umwandeln.';
catalog['Turning light bulbs on and off.'] = 'Gl\u00fchbirnen ein- und ausschalten.';
catalog['Turning on only the red and blue lights, we get red and blue shadows and a magenta background.'] = 'Turning on only the red and blue lights, we get red and blue shadows and a magenta background.';
catalog['Twin and adoption studies'] = 'Twin and adoption studies';
catalog['Two circulations in the body'] = 'Two circulations in the body';
catalog['Two column proof showing segments are perpendicular'] = 'Two column proof showing segments are perpendicular';
catalog['Two deadly diseases, HIV and TB, can often co-exist in the same patient.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Two deadly diseases, HIV and TB, can often co-exist in the same patient.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Two digit addition and subtraction'] = 'Addition und Subtraktion bis 100';
catalog['Two equations with two unknowns not challenging enough for you?  How about three equations with three unknowns?  Visualizing lines in 2-D too easy?  Well, now you\'re going to visualize intersecting planes in 3-D, baby. (Okay, we admit that it is weird for a website to call you "baby.")  '] = 'Zwei Gleichungen mit zwei Unbekannten nicht anspruchsvoll genug f\u00fcr dich?  Wie w\u00e4r \'s mit drei Gleichungen mit drei Unbekannten?  Visualisieren von Geraden in 2-D zu einfach?  Nun, jetzt wirst du sich \u00fcberschneidende Fl\u00e4chen in 3-D visualisieren, Baby. (Okay, wir zugeben, es ist seltsam f\u00fcr eine Website, dich "Baby" zu nennen.)  ';
catalog['Two equations with two unknowns not challenging enough for you?  How about three equations with three unknowns?  Visualizing lines in 2-D too easy?  Well, now you\'re going to visualize intersecting planes in 3-D, baby. (Okay, we admit that it is weird for a website to call you "baby.")  Tired of linear systems?  Well, we might just bring a little nonlinearity into your life, honey. (You might want to brush up on your solving quadratics before tackling the non-linear systems.)  As always, try to pause the videos and do them before Sal does!'] = 'Sind dir zwei Gleichungen mit zwei Unbekannten nicht Herausforderung genug? Wie w\u00e4re es dann mit drei Gleichungen mit drei Unbekannten? Ist das Vorstellen von Linien in 2-D zu leicht? Nun, dann wirst du dir jetzt sich durchschneidende Ebenen in 3-D vortstellen, Kleiner. (Na sch\u00f6n, wir geben zu, es ist ein wenig merkw\u00fcrdig, dass eine Webseite dich "Kleiner" nennt.) Bist du den linearen Gleichungssystemen m\u00fcde? In diesem Fall m\u00f6chten wir ein wenig nichtlinearit\u00e4t in den Leben bringen, S\u00fc\u00dfer. \n(Du solltest vielleicht auffrischen wie man quadratische Terme l\u00f6st bevor du dich an die nichtlinearen Systeme wagst.) Wie immer, versuche die Videos anzuhalten und auf die L\u00f6sung zu kommen bevor Sal es tut!';
catalog['Two example problems involving similarity'] = 'Two example problems involving similarity';
catalog['Two figures are congruent if you can go from one to another through some combination of translations, reflections and rotations.  In this tutorial, we\'ll really internalize this by working through the actual transformations.'] = 'Zwei Formen sind kongruent, wenn du von einer zur anderen durch eine Kombination von Verschiebung, Spiegelungen und Drehungen kommen kannst.  In diesem Tutorial werden wir dies wirklich verinnerlichen, indem wir uns durch die tats\u00e4chlichen Transformationen arbeiten.';
catalog['Two figures are similar if you can get from one to another through some combinations of translations, reflections, rotations AND DILATIONS (so you can scale up and down).  This tutorial helps give us an intuition for this.'] = 'Zwei Figuren sind \u00e4hnlich, wenn du von einer zur anderen durch einige Kombinationen von Verschiebung, Spiegelungen, Drehungen und Streckung kommst (damit sie rauf und runter skaliert werden k\u00f6nnen).  Dieses Tutorial hilft uns dabei, eine Intuition daf\u00fcr zu entwickeln.';
catalog['Two flu vaccines (TIV and LAIV)'] = 'Two flu vaccines (TIV and LAIV)';
catalog['Two lights, two shadows (blue + red)'] = 'Two lights, two shadows (blue + red)';
catalog['Two passing bicycles word problem'] = 'Textaufgabe mit zwei entgegenkommenden Fahrr\u00e4dern';
catalog['Two ways to conceptualize a product of a fraction and a whole number'] = 'Zwei M\u00f6glichkeiten, ein Produkt von einem Bruch und einer ganzen Zahl zu verstehen';
catalog['Two ways to solve a rational inequality (or an inequality involving a fractional expression)'] = 'Zwei M\u00f6glichkeiten, eine rationale Ungleichung (oder eine Ungleichung mit einem gebrochenem Ausdruck) zu l\u00f6sen';
catalog['Two worked examples of solving simple equations'] = 'Zwei Beispiele f\u00fcr das L\u00f6sen von einfachen Gleichungen';
catalog['Two-Step Equations'] = 'Zweistufigen Gleichungen';
catalog['Two-dimensional motion'] = 'Bewegung in zwei Dimensionen';
catalog['Two-dimensional projectile motion'] = 'Two-dimensional projectile motion';
catalog['Two-sided limits from graphs'] = 'Two-sided limits from graphs';
catalog['Two-sided limits using advanced algebra'] = 'Two-sided limits using advanced algebra';
catalog['Two-sided limits using algebra'] = 'Two-sided limits using algebra';
catalog['Two-step equations'] = 'Zweistufige Gleichungen';
catalog['Two-step inequality example'] = 'Zweistufige Ungleichungen - Beispiel';
catalog['Two-step word problems with addition, subtraction, multiplication, and division'] = 'Zweistufige Textaufgaben mit Addition, Subtraktion, Multiplikation und Division';
catalog['Two-step word problems'] = 'Zweistufigen Textaufgaben';
catalog['Type 1 Errors'] = 'Fehler 1. Art';
catalog['Type 1 and type 2 muscle fibers'] = 'Type 1 and type 2 muscle fibers';
catalog['Type 1 errors'] = 'Fehler 1. Art';
catalog['Type I regions in three dimensions'] = 'Type I regions in three dimensions';
catalog['Type II regions in three dimensions'] = 'Type II regions in three dimensions';
catalog['Type III regions in three dimensions'] = 'Type III regions in three dimensions';
catalog['Types of decay'] = 'Types of decay';
catalog['Types of hormones'] = 'Types of hormones';
catalog['Types of immune responses: Innate and adaptive.  humoral vs. cell-mediated'] = 'Arten der Immunantwort: Angeborene und erworbene Immunit\u00e4t. Humorale vs. zellul\u00e4re Immunantwort';
catalog['Types of indifference curves'] = 'Arten von Indifferenzkurven';
catalog['Types of neurotransmitter receptors'] = 'Types of neurotransmitter receptors';
catalog['Types of neurotransmitters'] = 'Types of neurotransmitters';
catalog['Types of regions in three dimensions'] = 'Types of regions in three dimensions';
catalog['Types of statistical studies'] = 'Types of statistical studies';
catalog['Tyranny and despotism'] = 'Tyranny and despotism';
catalog['Tyrol'] = 'Tyrol';
catalog['U S  customary units for distance'] = 'US \u00fcbliche Ma\u00dfeinheiten f\u00fcr Entfernung';
catalog['U S  customary units for fluid volume'] = 'US \u00fcbliche Ma\u00dfeinheiten f\u00fcr Volumen von Fluiden';
catalog['U S  customary units for weight'] = 'US \u00fcbliche Ma\u00dfeinheiten f\u00fcr Gewicht';
catalog['U-substitution is a must-have tool for any integrating arsenal (tools aren\'t normally put in arsenals, but that sounds better than toolkit).  It is essentially the reverise chain rule.  U-substitution is very useful for any integral where an expression is of the form g(f(x))f\'(x)(and a few other cases).  Over time, you\'ll be able to do these in your head without necessarily even explicitly substituting. \n\nWhy the letter "u"?  Well, it could have been anything, but this is the convention.  I guess why not the letter "u" :)'] = 'U-Substitution ist ein Muss f\u00fcr jedes Arsenal der Integration (Werkzeuge sind normalerweise nicht in einem Arsenal, aber das klingt besser als Toolkit).  Es ist im Wesentlichen die Umkehrung der Kettenregel.  U-Substitution ist sehr n\u00fctzlich f\u00fcr alle Integral wo ein Ausdruck der Form g(f(x))f\'(x) vorliegt (und in ein paar anderen F\u00e4llen).  Im Laufe der Zeit wirst du in der Lage sein, dies in deinem Kopf zu tun, ohne unbedingt explizit zu substituieren. \n\nWarum der Buchstabe "u"?  Nun, es k\u00f6nnte auch jeder andere sein, aber dies ist die Konvention.  Ich denke, warum nicht der Buchstabe "u" :)';
catalog['U-substitution'] = 'U-Substitution';
catalog['U.S. Customary and Metric units'] = 'US \u00fcbliche und metrische Einheiten';
catalog['U.S. customary and metric units'] = 'US \u00fcbliche und metrische Einheiten';
catalog['U02_L1_T2_we2 Changing a Mixed Number to an Improper Fraction'] = 'U02_L1_T2_we2 Eine gemischte Zahl in einen unechten Bruch umwandeln';
catalog['U05_L2_T1_we1 Solving Percent Problems'] = 'U05_L2_T1_we1 L\u00f6sen von Prozent Problemen';
catalog['U06_L1_T1_we1 Converting Yards into Inches'] = 'U06_L1_T1_we1 Umwandlung von Yards in Inch';
catalog['U06_L2_T3_we1 Applying the Metric System'] = 'U06_L2_T3_we1 Anwendung des metrischen Systems';
catalog['U09_L1_T2_we2 Factoring Trinomials by Grouping 2'] = 'U09_L1_T2_we2 Faktorisierung von Trinomen durch Gruppieren 2';
catalog['U09_L2_T2_we1 Solving Quadratic Equations by Factoring.avi'] = 'U09_L2_T2_we1 l\u00f6sen von quadratischen Gleichungen durch Zerlegung.avi';
catalog['U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi'] = 'U09_L2_T2_we1 l\u00f6sen von quadratischen Gleichungen durch Zerlegung 2.avi';
catalog['U09_L2_T2_we3 Solving Quadratic Equations by Factoring 3.avi'] = 'U09_L2_T2_we1 l\u00f6sen von quadratischen Gleichungen durch Zerlegung 3.avi';
catalog['U09_L2_T4_we1 Multiplying negative real numbers'] = 'U09_L2_T4_we1 Multiplikation negative reelle Zahlen';
catalog['U10_L1_T2_we1 Completing the Square 1'] = 'U10_L1_T2_we1 Quadratische Erg\u00e4nzung 1';
catalog['U10_L1_T2_we2 Completing the Square 2'] = 'U10_L1_T2_we1 Quadratische Erg\u00e4nzung 2';
catalog['U10_L1_T2_we3 Completing the Square 3'] = 'U10_L1_T2_we1 Quadratische Erg\u00e4nzung 3';
catalog['U11_L1_T1_we1 Simplifying Rational Expressions 1'] = 'U11_L1_T1_we1 Vereinfachung rationaler Ausdr\u00fccke 1';
catalog['U11_L1_T1_we2 Simplifying Rational Expressions 2'] = 'U11_L1_T1_we2 Vereinfachung rationaler Ausdr\u00fccke 2';
catalog['U11_L1_T1_we3 Simplifying Rational Expressions 3'] = 'U11_L1_T1_we3 Vereinfachung rationaler Ausdr\u00fccke 3';
catalog['U11_L1_T3_we2 Adding and Subtracting Rational Expressions 2'] = 'U11_L1_T3_we2 Addieren und Subtrahieren von rationalen Ausdr\u00fccken 2';
catalog['U11_L1_T3_we3 Adding and Subtracting Rational Expressions 3'] = 'U11_L1_T3_we3 Addieren und Subtrahieren von rationalen Ausdr\u00fccken 3';
catalog['US Declaration of Independence Quiz'] = 'US Declaration of Independence Quiz';
catalog['US Declaration of Independence'] = 'US Declaration of Independence';
catalog['US History Overview 1: Jamestown to the Civil War'] = 'Geschichte der USA - \u00dcbersicht 1: Von Jamestown bis zum B\u00fcrgerkrieg';
catalog['US History overview 2: Reconstruction to the Great Depression'] = 'US History overview 2: Reconstruction to the Great Depression';
catalog['US History overview 3: WWII to Vietnam'] = 'US History overview 3: WWII to Vietnam';
catalog['US and Japanese quantitative easing'] = 'US and Japanese quantitative easing';
catalog['USA vs USSR Fight! The Cold War'] = 'Der Kampf USA gegen die UdSSR: der Kalte Krieg';
catalog['Uccello, The Battle of San Romano'] = 'Uccello, die Schlacht von San Romano';
catalog['Ultraviolet Waves (1801)'] = 'Ultraviolette Wellen (1801)';
catalog['Umberto Boccioni, "Dynamism of a Soccer Player"'] = 'Umberto Boccioni, "Dynamism of a Soccer Player"';
catalog['Umbilical vessels and the ductus venosus'] = 'Umbilical vessels and the ductus venosus';
catalog['Umbo (Otto Umbehr), The Roving Reporter, photomontage (rephotographed), 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Steven Zucker, Dr. Beth Harris'] = 'Umbo (Otto Umbehr), The Roving Reporter, photomontage (rephotographed), 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Steven Zucker, Dr. Beth Harris';
catalog['Umbo, The Roving Reporter'] = 'Umbo, The Roving Reporter';
catalog['Unable to connect to a KA Lite server at %s'] = 'Unable to connect to a KA Lite server at %s';
catalog['Unable to establish a session with KA Lite server at %s'] = 'Unable to establish a session with KA Lite server at %s';
catalog['Unbalanced forces and motion'] = 'Unbalanced forces and motion';
catalog['Undefined and Indeterminate'] = 'Undefinierte und unbestimmte Antworten';
catalog['Undefined and indeterminate answers'] = 'Nicht definierte und unbestimmte Antworten';
catalog['Undefined and indeterminate'] = 'Undefiniert und unbestimmt';
catalog['Under Pressure'] = 'Unter Druck';
catalog['Underlying logic and structure of expressions (mainly linear)'] = 'Zugrunde liegende Logik und Struktur von Ausdr\u00fccken (haupts\u00e4chlich linear)';
catalog['Understand LaPlace\'s law to see the effect that pressure, radius, and wall thickness each have on the "wall stress" in the left ventricle.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Understand LaPlace\'s law to see the effect that pressure, radius, and wall thickness each have on the "wall stress" in the left ventricle.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Understand how Ea is affected by changes in preload, and in turn, how the PV loop can shift.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Understand how Ea is affected by changes in preload, and in turn, how the PV loop can shift.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Understand subtraction as an unknown-addend problem.'] = 'Understand subtraction as an unknown-addend problem.';
catalog['Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.'] = 'Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.';
catalog['Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones.'] = 'Verstehen, dass die drei Ziffern einer dreistelligen Zahl die Anzahl der Hunderter, Zehner und Einser repr\u00e4sentieren.';
catalog['Understand the differences between TIV (dead virus) and LAIV (alive, but weakened virus) and who should get which one.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Understand the differences between TIV (dead virus) and LAIV (alive, but weakened virus) and who should get which one.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Understand the different divisions of the brain that control our muscles.&nbsp; By Raja Narayan.'] = 'Understand the different divisions of the brain that control our muscles.&nbsp; By Raja Narayan.';
catalog['Understand the right triangle definition of sec, csc, and cot functions'] = 'Understand the right triangle definition of sec, csc, and cot functions';
catalog['Understand what is happening at the cellular level to cause two identical left ventricular volumes to have such different pressures!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Understand what is happening at the cellular level to cause two identical left ventricular volumes to have such different pressures!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Understanding 2-digit numbers'] = '2-stellige Zahlen begreifen';
catalog['Understanding Proportions'] = 'Verh\u00e4ltnisse verstehen';
catalog['Understanding Square Roots'] = 'Quadratwurzeln verstehen';
catalog['Understanding addition and subtraction with negative numbers'] = 'Understanding addition and subtraction with negative numbers';
catalog['Understanding allele and genotype frequency in population in Hardy-Weinberg Equilibrium.'] = 'Erkl\u00e4rung der Allel- und Genotyph\u00e4ufigkeit in Populationen im Hardy-Weinberg-Gleichgewicht.';
catalog['Understanding alternate coordinate systems'] = 'Understanding alternate coordinate systems';
catalog['Understanding an insurance company\'s sense of my chances of dying.'] = 'Understanding an insurance company\'s sense of my chances of dying.';
catalog['Understanding and finding factors and multiples. After these videos, you\'ll be ready for fractions.'] = 'Verst\u00e4ndnis f\u00fcr Faktoren und Vielfache. Nach diesen Videos bist du bereit f\u00fcr das Bruchrechnen.';
catalog['Understanding and interpreting phase diagrams'] = 'Verstehen und Interpretieren von Phasendiagrammen';
catalog['Understanding and solving equations with imaginary numbers.'] = 'Gleichungen mit imagin\u00e4ren Zahlen verstehen und l\u00f6sen.';
catalog['Understanding and solving exponents without algebra.'] = 'Exponenten ohne Algebra verstehen und l\u00f6sen.';
catalog['Understanding and solving matrices.'] = 'Verstehen und L\u00f6sen von Matrizen.';
catalog['Understanding and solving problems with the formula for a finite geometric series'] = 'Understanding and solving problems with the formula for a finite geometric series';
catalog['Understanding angle addition formulas'] = 'Understanding angle addition formulas';
catalog['Understanding angles'] = 'Winkel verstehen';
catalog['Understanding basic capital structure differences'] = 'Understanding basic capital structure differences';
catalog['Understanding basic ideas in geometry and how we represent them with symbols'] = 'Verst\u00e4ndnis der grundlegende Ideen in der Geometrie und wie wir sie mit Symbolen darstellen';
catalog['Understanding calendar notation'] = 'Understanding calendar notation';
catalog['Understanding company statements and capital structure'] = 'Understanding company statements and capital structure';
catalog['Understanding conductive, convective, and radiative heat transfer using a thermal camera.'] = 'Understanding conductive, convective, and radiative heat transfer using a thermal camera.';
catalog['Understanding decimals conceptually, using operations with decimals, rounding and estimating with decimals, and converting decimals.'] = 'Verst\u00e4ndnis f\u00fcr Dezimalzahlen, Rechnen mit Dezimalzahlen, Runden und Sch\u00e4tzen mit Dezimalzahlen, Umwandlung von Dezimalzahlen.';
catalog['Understanding direct and inverse variation'] = 'Direkte und invertierte Variationen verstehen';
catalog['Understanding dividing fractions by fractions'] = 'Verstehe, wie Br\u00fcche durch Br\u00fcche dividiert werden';
catalog['Understanding fractional exponents'] = 'Gebrochene Exponenten verstehen';
catalog['Understanding fractions as division'] = 'Br\u00fcche als division verstehen';
catalog['Understanding fractions conceptually, using operations with fractions, and converting fractions.'] = 'Br\u00fcche verstehen, mit Br\u00fcchen rechnen, Br\u00fcche umwandeln.';
catalog['Understanding fractions'] = 'Br\u00fcche verstehen';
catalog['Understanding function notation (example 1)'] = 'Verstehen der Schreibweise von Funktionen (Beispiel 1)';
catalog['Understanding function notation (example 2)'] = 'Verstehen der Schreibweise von Funktionen (Beispiel 2)';
catalog['Understanding function notation (example 3)'] = 'Verstehen der Schreibweise von Funktionen (Beispiel 3)';
catalog['Understanding function notation'] = 'Die Schreibweise einer Funktion verstehen';
catalog['Understanding how aggregate demand is different from demand for a specific good or service.  Justifications for the aggregate demand curve being downward sloping'] = 'Understanding how aggregate demand is different from demand for a specific good or service.  Justifications for the aggregate demand curve being downward sloping';
catalog['Understanding how changes in foreign ownership of assets effects balance of payments'] = 'Understanding how changes in foreign ownership of assets effects balance of payments';
catalog['Understanding how hedge funds are structured and how the managers get paid'] = 'Verstehen wie Hedge-Fonds strukturiert sind und wie die Manager bezahlt werden';
catalog['Understanding how logarithmic scale is different from linear scale and why it could be useful'] = 'Verstehen, wodurch sich eine logarithmische Skalierung von einer linearen Skalierung unterscheidet und warum sie n\u00fctzlich sein k\u00f6nnte';
catalog['Understanding how mortgage interest rates are quoted'] = 'Understanding how mortgage interest rates are quoted';
catalog['Understanding how most corporate debt is different than most personal mortgages'] = 'Verstehen, inwiefern Unternehmensanleihen anders sind als private Hypotheken';
catalog['Understanding how numbers are represented.  Introduction to binary numbers'] = 'Verstehen, wie Zahlen dargestellt werden. Einf\u00fchrung in bin\u00e4re Zahlen';
catalog['Understanding how the amplitude and period changes as coefficients change.'] = 'Verstehen, wie die Amplitude und Phase sich \u00e4ndert wenn Koeffizienten sich \u00e4ndern.';
catalog['Understanding how the headline unemployment rate (U-3) is calculated'] = 'Understanding how the headline unemployment rate (U-3) is calculated';
catalog['Understanding how the iterative fibonacci function works for a particular example'] = 'Understanding how the iterative fibonacci function works for a particular example';
catalog['Understanding how the null space of a matrix relates to the linear independence of its column vectors'] = 'Understanding how the null space of a matrix relates to the linear independence of its column vectors';
catalog['Understanding how the product of the Transforms of two functions relates to their convolution.'] = 'Understanding how the product of the Transforms of two functions relates to their convolution.';
catalog['Understanding how to parametrize a reverse path for the same curve.'] = 'Understanding how to parametrize a reverse path for the same curve.';
catalog['Understanding how we can map one set of vectors to another set.  Matrices used to define linear transformations.'] = 'Verstehen, wie ein Satz von Vektoren, einer anderen Gruppe zugeordnet werden kann.  Matrizen, lineare Transformationen definiert.';
catalog['Understanding i and the complex plane'] = 'Die Zahl i und die komplexe Zahlenebene verstehen';
catalog['Understanding inequalities and the number line'] = 'Understanding inequalities and the number line';
catalog['Understanding inverses of functions'] = 'Verst\u00e4ndnis des Kehrwerts von Funktionen';
catalog['Understanding linear and exponential models'] = 'Lineare und exponentielle Modelle verstehen';
catalog['Understanding linear combinations and spans of vectors'] = 'Linearkombinationen und Vektorr\u00e4ume verstehen';
catalog['Understanding logarithms as inverse exponentials'] = 'Understanding logarithms as inverse exponentials';
catalog['Understanding moving the decimal'] = 'Das Verschieben der Dezimalstelle verstehen';
catalog['Understanding multiplication through area models'] = 'Multiplikation durch Fl\u00e4chen-Modelle verstehen';
catalog['Understanding multiplying fractions and whole numbers'] = 'Multiplikation von Bruchzahlen und ganze Zahlen verstehen';
catalog['Understanding multiplying fractions by fractions'] = 'Verstehe, wie Br\u00fcche mit Br\u00fcchen multipliziert werden';
catalog['Understanding place value 1 exercise'] = 'Stellenwerte verstehen 1 - \u00dcbung';
catalog['Understanding place value 1'] = 'Stellenwert verstehen 1';
catalog['Understanding probability'] = 'Wahrscheinlichkeiten verstehen';
catalog['Understanding sequences'] = 'Folgen verstehen';
catalog['Understanding series'] = 'Reihen verstehen';
catalog['Understanding square roots'] = 'Quadratwurzeln verstehen';
catalog['Understanding steps when solving equations'] = 'Die Schritte Verstehen beim L\u00f6sen von Gleichungen';
catalog['Understanding systems of equations word problems'] = 'Gleichungssysteme aus Textaufgaben verstehen';
catalog['Understanding that a marginal tax rate does not apply to all of income'] = 'Verstehen, dass der Grenzsteuersatz nicht das komplette Einkommen betrifft';
catalog['Understanding that a variable is just a symbol that can represent different values'] = 'Verstehen lernen, dass eine Variabel nur ein Symbol ist, die viele verschiedene Werte darstellen kann';
catalog['Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line)'] = 'Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line)';
catalog['Understanding the "rules of thumb" for significant figures'] = 'Die "Faustregeln" f\u00fcr signifikante Stellen verstehen';
catalog['Understanding the United States Current Account in 2011'] = 'Understanding the United States Current Account in 2011';
catalog['Understanding the arctan or inverse tangent function.'] = 'Arctan oder inverse Tangensfunktion verstehen.';
catalog['Understanding the basics of lists in Python'] = 'Grundlagen von Listen in Python verstehen';
catalog['Understanding the components of the expenditure view of GDP.  Consumption, investment, government spending and net exports'] = 'Understanding the components of the expenditure view of GDP.  Consumption, investment, government spending and net exports';
catalog['Understanding the definition and motivation for radians and the relationship between radians and degrees'] = 'Die Definition und die Motivation f\u00fcr das Bogenma\u00df und die Beziehung zwischen Bogenma\u00df und Grad verstehen';
catalog['Understanding the definition of a basis of a subspace'] = 'Verstehen der Definition der Basis eines Unterraums';
catalog['Understanding the difference between quantitative easing in Japan and the United States'] = 'Understanding the difference between quantitative easing in Japan and the United States';
catalog['Understanding the differences between the dot and cross products'] = 'Understanding the differences between the dot and cross products';
catalog['Understanding the differential of a vector valued function'] = 'Understanding the differential of a vector valued function';
catalog['Understanding the flow of resources in the simplest possible economy'] = 'Den Fluss der Ressourcen in der einfachst m\u00f6glichen Wirtschaft verstehen';
catalog['Understanding the inverse cosine or arccos function'] = 'Die inverse Cosinus oder arccos Funktion verstehen';
catalog['Understanding the line integral as flux through a boundary'] = 'Understanding the line integral as flux through a boundary';
catalog['Understanding the long term supply curve in terms of economic profit'] = 'Understanding the long term supply curve in terms of economic profit';
catalog['Understanding the mechanics of an open end mutual fund a bit better'] = 'Understanding the mechanics of an open end mutual fund a bit better';
catalog['Understanding the mechanics of margin for futures.  Initial and maintenance margin'] = 'Understanding the mechanics of margin for futures.  Initial and maintenance margin';
catalog['Understanding the pressure-volume loop'] = 'Understanding the pressure-volume loop';
catalog['Understanding the process for solving linear equations'] = 'Verstehe den Prozesses zur L\u00f6sung von linearen Gleichungen';
catalog['Understanding the process for solving quadratic equations'] = 'Verst\u00e4ndnis f\u00fcr den Prozesses quadratische Gleichungen zu l\u00f6sen';
catalog['Understanding the properties of the remainder or error function for an Nth degree Taylor approximation of a function'] = 'Verstehen der Eigenschaften des Rests oder Fehler-Funktion f\u00fcr die n-te Ableitung der Taylor-Ann\u00e4herung einer Funktion';
catalog['Understanding the relationship between the radius diameter and circumference of a circle.'] = 'Das Verh\u00e4ltnis zwischen Radius, Diameter und Kreisumfang verstehen.';
catalog['Understanding the science is important, but there&#39;s a lot more you can do with colored shadows!'] = 'Understanding the science is important, but there&#39;s a lot more you can do with colored shadows!';
catalog['Understanding the structure of a muscle cell.'] = 'Understanding the structure of a muscle cell.';
catalog['Understanding the structure of a muscle fiber'] = 'Understanding the structure of a muscle fiber';
catalog['Understanding the weak points of Fractional Reserve Banking'] = 'Understanding the weak points of Fractional Reserve Banking';
catalog['Understanding what GDP does and doesn\'t measure.'] = 'Understanding what GDP does and doesn\'t measure.';
catalog['Understanding what a tax deduction is'] = 'Understanding what a tax deduction is';
catalog['Understanding when capitalism can potentially undermine innovation, competition and merit'] = 'Understanding when capitalism can potentially undermine innovation, competition and merit';
catalog['Understanding when you can use Stokes.  Piecewise-smooth lines and surfaces'] = 'Understanding when you can use Stokes.  Piecewise-smooth lines and surfaces';
catalog['Understanding whole number representations'] = 'Verstehen der Repr\u00e4sentation ganzer Zahlen';
catalog['Understanding why and how the recursive Fibonacci function works'] = 'Understanding why and how the recursive Fibonacci function works';
catalog['Understanding why correlation does not imply causality (even though many in the press and some researchers often imply otherwise)'] = 'Verstehen warum Korrelation nicht gleich Kausalit\u00e4t bedeutet (obwohl viele Leute in der Presse und einige Forscher das oft andeuten)';
catalog['Understanding why distance is area under velocity-time line'] = 'Understanding why distance is area under velocity-time line';
catalog['Understanding why enthalpy can be viewed as "heat content" in a constant pressure system.'] = 'Understanding why enthalpy can be viewed as "heat content" in a constant pressure system.';
catalog['Understanding why lattice multiplication works'] = 'Verst\u00e4ndnis, warum die Gitter-Multiplikation funktioniert';
catalog['Understanding why the example program would not run in Python 3 and how to fix it.'] = 'Understanding why the example program would not run in Python 3 and how to fix it.';
catalog['Understanding your medical bill'] = 'Understanding your medical bill';
catalog['Undetermined coefficients 1'] = 'Unbestimmte Koeffizienten 1';
catalog['Undetermined coefficients 2'] = 'Unbestimmte Koeffizienten 2';
catalog['Undetermined coefficients 3'] = 'Unbestimmte Koeffizienten 3';
catalog['Undetermined coefficients 4'] = 'Unbestimmte Koeffizienten 4';
catalog['Unemployment is a key metric for judging the health of an economy (and even political stability).  This tutorial is a primer on what it is and how it\'s measured (which you might find surprising).'] = 'Unemployment is a key metric for judging the health of an economy (and even political stability).  This tutorial is a primer on what it is and how it\'s measured (which you might find surprising).';
catalog['Unemployment rate primer (v2)'] = 'Unemployment rate primer (v2)';
catalog['Unemployment rate primer'] = 'Unemployment rate primer';
catalog['Unemployment'] = 'Arbeitslosigkeit';
catalog['Unfortunately for you, you do not have permission to do that.'] = 'Unfortunately for you, you do not have permission to do that.';
catalog['Unfortunately, malnutrition often causes problems that can lead to more malnutrition.  Learn how this cycle can develop.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Unfortunately, malnutrition often causes problems that can lead to more malnutrition.  Learn how this cycle can develop.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Ungrouped'] = 'Ungrouped';
catalog['Unique rowspace solution to Ax = b'] = 'Unique rowspace solution to Ax = b';
catalog['Unit Conversion Example: Drug Dosage'] = 'Umwandeln von Einheiten - Beispiel: Medikamenten Dosierung';
catalog['Unit Conversion with Fractions'] = 'Einheiten-Umrechnung mit Br\u00fcchen';
catalog['Unit circle definition of trig functions'] = 'Einheitskreisdefinition von trigonometrischen Funktionen';
catalog['Unit circle manipulative'] = 'Unit circle manipulative';
catalog['Unit circle symmetries for tan'] = 'Unit circle symmetries for tan';
catalog['Unit circle trigonometry'] = 'Unit circle trigonometry';
catalog['Unit conversion example: Drug dosage'] = 'Umwandeln von Einheiten - Beispiel: Medikamenten Dosierung';
catalog['Unit conversion with fractions'] = 'Einheiten-Umrechnung mit Br\u00fcchen';
catalog['Unit conversion within the metric system'] = 'Umrechnen von Einheiten im metrischen System';
catalog['Unit conversion'] = 'Umrechnung von Einheiten';
catalog['Unit cost with fractions 1'] = 'Kosten pro Einheit mit Br\u00fcchen 1';
catalog['Unit sense'] = 'Gef\u00fchl f\u00fcr Einheiten';
catalog['Unit vector in same direction'] = 'Unit vector in same direction';
catalog['Unit vector notation (part 2)'] = 'Unit vector notation (part 2)';
catalog['Unit vector notation'] = 'Unit vector notation';
catalog['Unit vectors and engineering notation'] = 'Unit vectors and engineering notation';
catalog['Unit vectors'] = 'Einheitsverktoren';
catalog['Unit word problems'] = 'Textaufgaben mit Einheiten';
catalog['United States History'] = 'Die Geschichte der Vereinigten Staaten';
catalog['United States enters World War I'] = 'United States enters World War I';
catalog['United States history overview'] = 'United States history overview';
catalog['Units and scale of graphs'] = 'Einheiten und Skalierung von Grafiken';
catalog['Units for common medical lab values'] = 'Units for common medical lab values';
catalog['Units'] = 'Einheiten';
catalog['Universal set and absolute complement'] = 'Grundmenge und absolutes Komplement';
catalog['Unknown contact type: %s'] = 'Unknown contact type: %s';
catalog['Unknown password format.'] = 'Unknown password format.';
catalog['Unknown report_type: %(report_type)s'] = 'Unknown report_type: %(report_type)s';
catalog['Unknown sculptor, Venus after the Greek original by Praxiteles from the 4th century B.C.E.,\nRoman, 175-200 C.E., Late Classical Period (Getty Villa). Speakers: Dr. Beth Harris, Dr. Francesca Tronchin, Dr. Steven Zucker'] = 'Unknown sculptor, Venus after the Greek original by Praxiteles from the 4th century B.C.E.,\nRoman, 175-200 C.E., Late Classical Period (Getty Villa). Speakers: Dr. Beth Harris, Dr. Francesca Tronchin, Dr. Steven Zucker';
catalog['Unknown, Mixing Vessel with Odysseus Escaping from the Cyclops\'s Cave, Archaic Period, 550-500 B.C.E. (Getty Villa)\n\nSpeakers: Dr. Beth Harris, Dr. Francesca Tronchin, Dr. Steven Zucker'] = 'Unknown, Mixing Vessel with Odysseus Escaping from the Cyclops\'s Cave, Archaic Period, 550-500 B.C.E. (Getty Villa)\n\nSpeakers: Dr. Beth Harris, Dr. Francesca Tronchin, Dr. Steven Zucker';
catalog['Unknowns with multiplication and division'] = 'Unbekannte mit Multiplikation und Division';
catalog['Unlike the American Revolution which fairly cleanly transitioned the United States from British rule to a republic, France\'s process of democratization was much longer and more painful.  This tutorial gives a scaffold of that (and gives some context for the book/musical/movie "Les Miserables").'] = 'Unlike the American Revolution which fairly cleanly transitioned the United States from British rule to a republic, France\'s process of democratization was much longer and more painful.  This tutorial gives a scaffold of that (and gives some context for the book/musical/movie "Les Miserables").';
catalog['Unlocking an 18th-century French mechanical table'] = 'Unlocking an 18th-century French mechanical table';
catalog['Until now, we have been viewing integrals as anti-derivatives.  Now we explore them as the area under a curve between two boundaries (we will now construct definite integrals by defining the boundaries).  This is the real meat of integral calculus!'] = 'Bis jetzt haben wir Integrale als Gegenteil von Ableitungen angesehen.  Jetzt untersuchen wir sie als die Fl\u00e4che unter einer Kurve zwischen zwei Grenzen (wird konstruieren jetzt bestimmte Integrale indem wir die Grenzen definieren).  Hier geht\'s ans Eingemachte der Integralrechnung!';
catalog['Until this tutorial, we have been completely ignoring that things rotate.  In this tutorial, we\'ll explore why they rotate and how they do it.  It will leave your head spinning (no, it won\'t, but seemed like a fun thing to say given the subject matter).'] = 'Until this tutorial, we have been completely ignoring that things rotate.  In this tutorial, we\'ll explore why they rotate and how they do it.  It will leave your head spinning (no, it won\'t, but seemed like a fun thing to say given the subject matter).';
catalog['Unusual oxygen oxidation states'] = 'Unusual oxygen oxidation states';
catalog['Unusual variations on the paper snowflake.'] = 'Unusual variations on the paper snowflake.';
catalog['Update KA Lite to the latest version to access the latest features.'] = 'Update KA Lite to the latest version to access the latest features.';
catalog['Update KA Lite'] = 'Update KA Lite';
catalog['Update Languages'] = 'Update Languages';
catalog['Update Organization'] = 'Update Organization';
catalog['Update Server Date & Time'] = 'Update Server Date & Time';
catalog['Update Sharing Network'] = 'Update Sharing Network';
catalog['Update Software'] = 'Update Software';
catalog['Update Videos'] = 'Update Videos';
catalog['Update Your Organization'] = 'Update Your Organization';
catalog['Update Your Sharing Network'] = 'Update Your Sharing Network';
catalog['Update and modify your ping pong ball launcher'] = 'Update and modify your ping pong ball launcher';
catalog['Update this server with new videos'] = 'Update this server with new videos';
catalog['Update user'] = 'Update user';
catalog['Update'] = 'Aktualisieren';
catalog['Upper Bound on Forward Settlement Price'] = 'Upper Bound on Forward Settlement Price';
catalog['Upper bound on forward settlement price'] = 'Upper bound on forward settlement price';
catalog['Upper triangular determinant'] = 'Upper triangular determinant';
catalog['Ursula Goodenough takes a closer look at biology and the study of life.'] = 'Ursula Goodenough takes a closer look at biology and the study of life.';
catalog['Usain Bolt\'s average speed'] = 'Usain Bolts Durchschnittsgeschwindigkeit';
catalog['Use Euler&#39;s formula to determine the value of a complex number raised to an nth power.'] = 'Use Euler&#39;s formula to determine the value of a complex number raised to an nth power.';
catalog['Use a z-table to find the probability of a particular measurement.'] = 'Verwende eine Z-Tabelle, um die Wahrscheinlichkeit einer bestimmten Messung zu finden.';
catalog['Use a z-table to find the probability that a particular measurement is in a range.'] = 'Verwende eine Z-Tabelle, um die Wahrscheinlichkeit zu finden, dass die bestimmte Messung in einem Bereich liegt.';
catalog['Use cases for credit default swaps'] = 'Use cases for credit default swaps';
catalog['Use graphs to understand that substitution and elimination always produce equations consistent with the solution of the original system.'] = 'Verwende Diagramme um zu verstehen, dass die Substitution und Eliminierung immer Gleichungen produziert, die konsistent sind mit der L\u00f6sung des urspr\u00fcnglichen Systems.';
catalog['Use local file'] = 'Use local file';
catalog['Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane.  We\'ll connect this idea to the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b (cc.8.ee.6).  '] = 'Verwende \u00e4hnliche Dreiecke um zu erkl\u00e4ren, warum die Steigung m zwischen zwei unterschiedlichen Punkten auf einer nicht vertikalen Linie im Koordinatensystem \u00fcbereinstimmt.  Wir verbinden diese Idee zu der Gleichung y = mx f\u00fcr eine Linie durch den Ursprung und die Gleichung y = mx + b f\u00fcr eine Linie, die die Y-Achse bei b schneidet (cc.8.ee.6).  ';
catalog['Use the "shell method" to rotate about the y-axis'] = 'Use the "shell method" to rotate about the y-axis';
catalog['Use the Pythagorean theorem to find the distance between two points on the coordinate plane.'] = 'Nutze das Pythagoras Theorem, um die Strecke zweier Punkte in einem Koordinatensystem zu berechnen.';
catalog['Use the left ventricular pressure and volume information to put together a cool new graph.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Use the left ventricular pressure and volume information to put together a cool new graph.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Use the power of algebra to understand and interpret points and lines (something we typically do in geometry).  This will include slope and the equation of a line.'] = 'Nutze die M\u00f6glichkeiten der Algebra, um Punkte und Linien zu verstehen und zu interpretieren (etwas, was wir in der Regel in der Geometrie tun).  Dazu geh\u00f6ren Steigung und die Gleichung einer Geraden.';
catalog['Use the power of algebra to understand and interpret points and lines (something we typically do in geometry). Pretty cool!'] = 'Nutze die M\u00f6glichkeiten der Algebra um Punkte und Geraden zu verstehen und zu interpretieren (etwas was wir normalerweise in Geometrie tun). Ziemlich cool!';
catalog['Use the quadratic formula to find the roots of a quadratic function.'] = 'Benutze die Quadratformel um die Nullstellen einer Quadratfunktion zu bestimmen.';
catalog['Use this to brush up if you\'re going to take a placement exam at your college  for a foundational or advanced college Algebra course.  We\'ve picked out just the exercises you need for a quick refresh.  Challenge yourself to practice everything at least a little!  This is a great way to find out  what you need to review more deeply. Once you\'ve finished, use your Learning Dashboard to help you work on the areas you found you need to review more.'] = 'Nutze diese Auffrischung falls du an einem Einstellungstest deiner Universit\u00e4t f\u00fcr grundlegende oder weiterf\u00fchrende Algebra Kurse teilnimmst. Wir haben genau die \u00dcbungen ausgew\u00e4hlt, die du f\u00fcr eine kurze Auffrischung ben\u00f6tigst. Fordere dich selbst heraus alles zu \u00fcben, zumindest ein wenig! Das ist ein gro\u00dfartiger Weg herauszufinden was du dir n\u00e4her zur Wiederholung anschauen musst. Bist du erst fertig, nutze deine Lerntafel um die Gebiete zu finden, die du wiederholen solltest.';
catalog['Use this to brush up if you\'re going to take a placement exam at your college  for an advanced college Algebra course or to place into Pre-Calculus!  We\'ve picked out just the exercises you need for a quick refresh.  Challenge yourself to practice everything at least a little!  This is a great way to find out  what you need to review more deeply. Once you\'ve finished, use your Learning Dashboard to help you work on the areas you found you need to review more.'] = 'Use this to brush up if you\'re going to take a placement exam at your college  for an advanced college Algebra course or to place into Pre-Calculus!  We\'ve picked out just the exercises you need for a quick refresh.  Challenge yourself to practice everything at least a little!  This is a great way to find out  what you need to review more deeply. Once you\'ve finished, use your Learning Dashboard to help you work on the areas you found you need to review more.';
catalog['Use this to brush up if you\'re preparing for an Arithmetic placement exam for college.  This set of practice exercises is a quick list of some of the toughest concepts in Arithmetic! Challenge yourself to practice all the exercises.  If you find it challenging, that\'s good!  It means you\'re learning about what you need to learn :)\n\nIf you find an area where you need to go back and review more, you can use your Learning Dashboard to help you build mastery and explore foundations you need to review.'] = 'Use this to brush up if you\'re preparing for an Arithmetic placement exam for college.  This set of practice exercises is a quick list of some of the toughest concepts in Arithmetic! Challenge yourself to practice all the exercises.  If you find it challenging, that\'s good!  It means you\'re learning about what you need to learn :)\n\nIf you find an area where you need to go back and review more, you can use your Learning Dashboard to help you build mastery and explore foundations you need to review.';
catalog['Use what you know about the coordinate plane to tackle these word problems!'] = 'Use what you know about the coordinate plane to tackle these word problems!';
catalog['Useful properties of the Laplace Transform'] = 'Useful properties of the Laplace Transform';
catalog['User Count'] = 'Anzahl Benutzer';
catalog['User List'] = 'Benutzerliste';
catalog['User Management'] = 'User Management';
catalog['User changes saved for user \'%s\''] = 'User changes saved for user \'%s\'';
catalog['User count should should be at least one.'] = 'User count should should be at least one.';
catalog['User management'] = 'Benutzerverwaltung';
catalog['User report'] = 'User report';
catalog['Username was not found for this facility. Did you type your username correctly, and choose the right facility?'] = 'Benutzername wurde f\u00fcr diese Einrichtung nicht gefunden. Hast Du Deinen Benutzernamen richtig eingegeben und die richtige Einrichtung gew\u00e4hlt?';
catalog['Username was not found. Did you type your username correctly?'] = 'Username was not found. Did you type your username correctly?';
catalog['Username'] = ' Benutzername';
catalog['Username:'] = 'Benutzername:';
catalog['Using Brush Ups and missions'] = 'Using Brush Ups and missions';
catalog['Using Excel to visualize the basketball binomial distribution'] = 'Excel benutzen um die Basketball-Binomialverteilung darzustellen';
catalog['Using Gauss-Jordan elimination to invert a 3x3 matrix.'] = 'Verwendung der Gauss-Jordan Elimination zum Invertieren einer 3 x 3 Matrix.';
catalog['Using Gram-Schmidt to find an orthonormal basis for a plane in R3'] = 'Using Gram-Schmidt to find an orthonormal basis for a plane in R3';
catalog['Using Green\'s Theorem to complete the proof'] = 'Using Green\'s Theorem to complete the proof';
catalog['Using Green\'s Theorem to establish a two dimensional version of the Divergence Theorem'] = 'Using Green\'s Theorem to establish a two dimensional version of the Divergence Theorem';
catalog['Using Green\'s Theorem to solve a line integral of a vector field'] = 'Using Green\'s Theorem to solve a line integral of a vector field';
catalog['Using Green\'s theorem (which you should already be familiar with) to establish that the "flux" through the boundary of a region is equal to the double integral of the divergence over the region.  We\'ll also talk about why this makes conceptual sense.'] = 'Using Green\'s theorem (which you should already be familiar with) to establish that the "flux" through the boundary of a region is equal to the double integral of the divergence over the region.  We\'ll also talk about why this makes conceptual sense.';
catalog['Using Heron\'s Formula to determine the area of a triangle while only knowing the lengths of the sides'] = 'Using Heron\'s Formula to determine the area of a triangle while only knowing the lengths of the sides';
catalog['Using Hess\'s Law and standard heats of formation to determine the enthalpy change for reactions'] = 'Using Hess\'s Law and standard heats of formation to determine the enthalpy change for reactions';
catalog['Using Illinois as an example of what happens when pension obligations are underfunded.'] = 'Using Illinois as an example of what happens when pension obligations are underfunded.';
catalog['Using KA to prep for college'] = 'Using KA to prep for college';
catalog['Using Multiple Logarithm Properties to Simplify'] = 'Verwenden mehrerer Eigenschaften des Logarithmus zur Vereinfachung';
catalog['Using Perseus'] = 'Using Perseus';
catalog['Using U-substitution to find the anti-derivative of a function.  Seeing that U-substitution is the inverse of the chain rule.'] = 'Anwendung der U-Substitution, um die Aufleitung einer Funktion zu finden. Erkennen, dass die U-Substitution die Umkehrung der Kettenregel ist.';
catalog['Using Wolfram Alpha to approximate sin(x)'] = 'Using Wolfram Alpha to approximate sin(x)';
catalog['Using a cash flow statement to reconcile net income with change in cash'] = 'Using a cash flow statement to reconcile net income with change in cash';
catalog['Using a change of basis matrix to get us from one coordinate system to another.'] = 'Using a change of basis matrix to get us from one coordinate system to another.';
catalog['Using a commutator to solve the flipping problem and create an electric motor.'] = 'Using a commutator to solve the flipping problem and create an electric motor.';
catalog['Using a few trigonometric identities to finally calculate the value of the surface integral'] = 'Using a few trigonometric identities to finally calculate the value of the surface integral';
catalog['Using a home purchase to illustrate assets, liabilities and owner\'s equity.'] = 'Using a home purchase to illustrate assets, liabilities and owner\'s equity.';
catalog['Using a line integral to find the work done by a vector field example'] = 'Using a line integral to find the work done by a vector field example';
catalog['Using a magnetic field to exert torque on a rotating circuit.'] = 'Using a magnetic field to exert torque on a rotating circuit.';
catalog['Using a polynomial to approximate a function at f(0).'] = 'Verwenden eines Polynoms, um eine Funktion f(0) anzun\u00e4hern.';
catalog['Using a position vector valued function to describe a curve or path'] = 'Using a position vector valued function to describe a curve or path';
catalog['Using a protractor'] = 'Verwendung eines Winkelmessers';
catalog['Using a spreadsheet, Sal walks through an example of average costs per line of code as a firm hires more engineers.  Really good primer to understand what average fixed costs, average variable costs, average total costs (ATC) and average marginal costs (MC) are (and how they are calculated).'] = 'Using a spreadsheet, Sal walks through an example of average costs per line of code as a firm hires more engineers.  Really good primer to understand what average fixed costs, average variable costs, average total costs (ATC) and average marginal costs (MC) are (and how they are calculated).';
catalog['Using a system of equations to find the price of apples and oranges'] = 'Mit einem Gleichungssystem den Preis von \u00c4pfel und Orangen herausfinden';
catalog['Using a tangent line to extrapolate a function from a known initial condition'] = 'Using a tangent line to extrapolate a function from a known initial condition';
catalog['Using a triple integral to find the mass of a volume of variable density.'] = 'Using a triple integral to find the mass of a volume of variable density.';
catalog['Using acid-base titration to find mass of oxalic acid'] = 'Verwendung von S\u00e4ure-Base-Titration, um die Masse der Oxals\u00e4ure herauszufinden';
catalog['Using algebra to find measures of angles formed from transversal'] = 'Mit Hilfe von Algebra die Winkel messen, die von Transversalen (schneidenden Geraden) gebildet werden';
catalog['Using algebra to find the measures of vertical angles'] = 'Using algebra to find the measures of vertical angles';
catalog['Using an integrating factor to make a differential equation exact'] = 'Using an integrating factor to make a differential equation exact';
catalog['Using an invertible change of basis matrix to go between different coordinate systems'] = 'Using an invertible change of basis matrix to go between different coordinate systems';
catalog['Using angle bisectors to find the incenter and incircle of a triangle'] = 'Using angle bisectors to find the incenter and incircle of a triangle';
catalog['Using calculus to solve optimization problems'] = 'Verwendung der Differentialrechnung, um Optimierungsprobleme zu l\u00f6sen';
catalog['Using definite integrals with the shell and disc methods to find volumes of solids of revolution.'] = 'Verwendung bestimmter Integrale mit der Schalen- und Scheiben-Methode, um das Volumen rotationssymmetrischer K\u00f6rper zu berechnen.';
catalog['Using definite integration, we know how to find the area under a curve.  But what about the volume of the 3-D shape generated by rotating a section of the curve about one of the axes (or any horizontal or vertical line for that matter).  This in an older tutorial that is now covered in other tutorials.\n\nThis tutorial will give you a powerful tool and stretch your powers of 3-D visualization!'] = 'Using definite integration, we know how to find the area under a curve.  But what about the volume of the 3-D shape generated by rotating a section of the curve about one of the axes (or any horizontal or vertical line for that matter).  This in an older tutorial that is now covered in other tutorials.\n\nThis tutorial will give you a powerful tool and stretch your powers of 3-D visualization!';
catalog['Using derivative properties'] = 'Eigenschaften von Ableitungen';
catalog['Using elimination to solve a system of equations'] = 'Mithilfe von Elimination Gleichungssysteme l\u00f6sen';
catalog['Using exponent rules to simplify radicals or square roots'] = 'Benutzung von Exponentenregeln zur Vereinfachung von Radikalen oder Quadratwurzeln';
catalog['Using exponential form to find complex roots'] = 'Using exponential form to find complex roots';
catalog['Using expressions to understand relationships'] = 'Verwenden von Ausdr\u00fccken um Beziehungen zu verstehen';
catalog['Using fractions as division to create mixed numbers'] = 'Durch Br\u00fcche teilen um gemischte Zahle zu erhalten';
catalog['Using indifference curves to think about the point on the budget line that maximizes total utility'] = 'Using indifference curves to think about the point on the budget line that maximizes total utility';
catalog['Using least squares approximation to fit a line to points'] = 'Using least squares approximation to fit a line to points';
catalog['Using line integrals to find the work done  on a particle moving through a vector field'] = 'Using line integrals to find the work done  on a particle moving through a vector field';
catalog['Using logarithms to solve exponential equations'] = 'Using logarithms to solve exponential equations';
catalog['Using matrices to figure out if some combination of 2 vectors can create a 3rd vector'] = 'Verwendung von Matrizen um herauszufinden, ob eine Kombination von 2 Vektoren einen dritten Vektor erstellen kann';
catalog['Using money to understand decimal place value'] = 'Mit Hilfe von Geld Dezimalstellenwerte verstehen';
catalog['Using multiple logarithm properties to simplify'] = 'Verwenden mehrerer Eigenschaften des Logarithmus zur Vereinfachung';
catalog['Using our spreadsheet to show why prices decrease when utilization is low and prices increase when utilization is high.'] = 'Using our spreadsheet to show why prices decrease when utilization is low and prices increase when utilization is high.';
catalog['Using our toolkit to take some inverse Laplace Transforms'] = 'Using our toolkit to take some inverse Laplace Transforms';
catalog['Using our understanding of fluid pressure  to figure out the height of a column of mercury.'] = 'Using our understanding of fluid pressure  to figure out the height of a column of mercury.';
catalog['Using path independence of a conservative vector field to solve a line integral'] = 'Using path independence of a conservative vector field to solve a line integral';
catalog['Using probability to make fair decisions'] = 'Using probability to make fair decisions';
catalog['Using real GDP as a measure of actual productivity growth'] = 'Mit realem BIP das tats\u00e4chliche Produktivit\u00e4tswachstum messen';
catalog['Using recursion to write a fibonacci function'] = 'Rekursion verwenden, um eine Fibonacci-Funktion zu schreiben';
catalog['Using regrouping to subtract within 1000'] = 'Subtrahieren bis 1000 mit Zehner\u00fcbergang';
catalog['Using reserves to stabilize currency'] = 'Using reserves to stabilize currency';
catalog['Using secant line slopes to approximate tangent slope'] = 'Wie man die Steigung von Sekantenlinien verwendet, um eine Tangentensteigung ann\u00e4hernd zu berechnen';
catalog['Using simple elimination to figure out how many cupcakes are eaten by children and adults'] = 'Durch einfache Elimination herausfinden, wie viele Muffins von Kindern und Erwachsenen gegessen werden';
catalog['Using some basic algebra to solve what looks like a hairy word problem that involves proportions.'] = 'Mithilfe von ganz grundlegender Algebra ein scheinbar vertracktes Verh\u00e4ltnisproblem l\u00f6sen.';
catalog['Using some basic calculus to show that marginal revenue has twice the slope of the demand curve for a monopolist'] = 'Using some basic calculus to show that marginal revenue has twice the slope of the demand curve for a monopolist';
catalog['Using the "Graph of a line" module to understand how a line\'s graph changes when its slope or y-intercept is changed.'] = 'Verwenden des "Graphs einer Linie"-Modul, um zu verstehen, wie ein Liniendiagramm sich \u00e4ndert, wenn die Steigung oder der y-Achsenabschnitt ge\u00e4ndert werden.';
catalog['Using the Convolution Theorem to solve an initial value problem'] = 'Using the Convolution Theorem to solve an initial value problem';
catalog['Using the Empirical Rule with a standard normal distribution'] = 'Die empirische Regel bei einer Standard-Normalverteilung anwenden';
catalog['Using the KA virtual protractor to measure angles'] = 'Benutze den virtuellen KA-Winkelmesser um Winkel zu messen';
catalog['Using the Laplace Transform to solve an equation we already knew how to solve.'] = 'L\u00f6sung einer Gleichung, die wir bereits l\u00f6sen k\u00f6nnen, mithilfe der Laplace-Transormation.';
catalog['Using the Laplace transform to solve a nonhomogeneous eq'] = 'Mit Hilfe der Laplace-Transformation eine inhomogene Gleichung l\u00f6sen';
catalog['Using the Pythagorean trig identity'] = 'Verwendung des  trigonometrischen Pythagoras';
catalog['Using the Rule of 72 to approximate how long it will take for an investment to double at a given interest rate'] = 'Mit der 72er-Regel sch\u00e4tzen wie lange es dauert bis ein Investment sich bei einem bestimmten Zinssatz verdoppelt hat';
catalog['Using the SSS, ASA, SAS, and AAS postulates to find congruent triangles'] = 'Using the SSS, ASA, SAS, and AAS postulates to find congruent triangles';
catalog['Using the angle bisector theorem to solve for sides of a triangle'] = 'Using the angle bisector theorem to solve for sides of a triangle';
catalog['Using the combined powers of Chuck Norris and polar bears (which are much less powerful than Mr. Norris) to better understand what expressions represent and how we can manipulate them. Great tutorial if you want to understand that expressions are just a way to express things!\n\nCommon Core Standard: 7.EE.A.1'] = 'Wir verwenden die vereinten Kr\u00e4fte von Chuck Norris und Eisb\u00e4ren (die viel schw\u00e4cher sind als Mr. Norris ), um besser zu verstehen was Terme bedeuten und was wir mit ihnen anstellen k\u00f6nnen. Tolles Tutorial wenn du verstehen m\u00f6chtest, dass Terme nur eine M\u00f6glichkeit sind um Dinge auszudr\u00fccken.\n\nCommon Core Standards: 7.EE.A.1';
catalog['Using the combined powers of Chuck Norris and polar bears (which are much less powerful than Mr. Norris) to better understand what expressions represent and how we can manipulate them. Great tutorial if you want to understand that expressions are just a way to express things!\n\nCommon Core Standards: 6.EE.A.3, 6.EE.A.4'] = 'Wir verwenden die vereinten Kr\u00e4fte von Chuck Norris und Eisb\u00e4ren (die viel schw\u00e4cher sind als Mr. Norris ), um besser zu verstehen was Terme bedeuten und wie wir mit ihnen anstellen k\u00f6nnen.\n\nTolles Tutorial wenn du verstehen m\u00f6chtest, dass Terme nur eine M\u00f6glichkeit sind um Dinge auszudr\u00fccken.\n\nCommon Core Standards: 6.EE.A.3, 6.EE.A.4';
catalog['Using the combined powers of Chuck Norris and polar bears (which are much less powerful than Mr. Norris) to better understand what expressions represent and how we can manipulate them.\n\nGreat tutorial if you want to understand that expressions are just a way to express things!'] = 'Mit die kombinierten Kr\u00e4fte von Chuck Norris und Eisb\u00e4ren (die viel weniger leistungsf\u00e4hig ist als Mr. Norris ), um besser zu verstehen was Ausdr\u00fccke bedeuten und wie wir them.\n\nDa sind gute Lernprogramm bearbeiten k\u00f6nnen, wenn Sie m\u00f6chten, zu verstehen, dass Ausdr\u00fccke nur eine M\u00f6glichkeit, Dinge auszudr\u00fccken!';
catalog['Using the convolution theorem to solve an initial value prob'] = 'Using the convolution theorem to solve an initial value prob';
catalog['Using the definite integral to solve for the area under a curve.  Intuition on why  the antiderivative is the same thing as the area under a curve.'] = 'Verwendung des bestimmten Integrals f\u00fcr die Fl\u00e4che unter einer Kurve. Warum ist die Stammfunktion das gleiche wie die Fl\u00e4che unter einer Kurve?';
catalog['Using the disk method around the y-axis.'] = 'Using the disk method around the y-axis.';
catalog['Using the empirical rule (or 68-95-99.7 rule) to estimate probabilities for normal distributions'] = 'Mit der empirischen Regel (oder 68-95-99,7 Regel) Wahrscheinlichkeiten f\u00fcr Normalverteilungen sch\u00e4tzen';
catalog['Using the epsilon delta definition to prove a limit'] = 'Die Epsilon-Delta Definition nutzen um eine Schranke zu zeigen';
catalog['Using the equations of motion to figure out things about falling objects'] = 'Using the equations of motion to figure out things about falling objects';
catalog['Using the first and second derivatives to identify critical points and inflection points and to graph the function.'] = 'Using the first and second derivatives to identify critical points and inflection points and to graph the function.';
catalog['Using the focus and directrix to find the equation of a parabola'] = 'Unter Verwendung des Fokus und der Leitebene die Gleichung einer Parabel finden';
catalog['Using the inverse of a matrix to solve a system of equations.'] = 'Verwendung der Inversen einer Matrix, um ein System von Gleichungen zu l\u00f6sen.';
catalog['Using the law of conservation of energy to see how potential energy is converted into kinetic energy'] = 'Using the law of conservation of energy to see how potential energy is converted into kinetic energy';
catalog['Using the mean, median and mode to try to represent data'] = 'Verwenden von Mittelwert, Median und Modalwert um Daten darzustellen';
catalog['Using the method of undetermined coefficients to solve nonhomogeneous linear differential equations.'] = 'Using the method of undetermined coefficients to solve nonhomogeneous linear differential equations.';
catalog['Using the product rule and the chain rule'] = 'Verwenden der Produkt-Regel und der Kettenregel';
catalog['Using the quadratic formula'] = 'Mithilfe der Mitternachtsformel';
catalog['Using the repeated addition model of multiplication to think about multiplying negative numbers'] = 'Verwendung des Modells der wiederholten Addition f\u00fcr die Multiplikation um \u00fcber Multiplikation von negativen Zahlen nachzudenken';
catalog['Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate'] = 'Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate';
catalog['Using the shell method to rotate around a vertical line.'] = 'Using the shell method to rotate around a vertical line.';
catalog['Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1'] = 'Squeeze-Theorem um zu beweisen, f\u00fcr x gegen Null  (sin x) / x = 1';
catalog['Using the stethoscope to check blood pressure is a technique that\u2019s been used for >100 years!  Blood pressure is one of the major vital signs frequently measured by health care workers, and it tells us a lot about our blood circulation.  Learn what blood pressure is, how it relates to resistance in a tube, why it is necessary to get oxygen to your cells, and how it can change as you age.  We\u2019ll finally put it all together by relating pressure, flow, and resistance in one awesome equation!'] = 'Using the stethoscope to check blood pressure is a technique that\u2019s been used for >100 years!  Blood pressure is one of the major vital signs frequently measured by health care workers, and it tells us a lot about our blood circulation.  Learn what blood pressure is, how it relates to resistance in a tube, why it is necessary to get oxygen to your cells, and how it can change as you age.  We\u2019ll finally put it all together by relating pressure, flow, and resistance in one awesome equation!';
catalog['Using the variance of a sample to estimate the variance of a population'] = 'Die Varianz einer Stichprobe benutzen um die Varianz einer Grundgesamtheit zu sch\u00e4tzen';
catalog['Using theoretically quasi-static and/or reversible processes to stay pretty much at equilibrium.'] = 'Using theoretically quasi-static and/or reversible processes to stay pretty much at equilibrium.';
catalog['Using triangle congruency postulates to show that two intersecting segments are perpendicular'] = 'Using triangle congruency postulates to show that two intersecting segments are perpendicular';
catalog['Using u-substitution and "back substituting" for x to simplify an expression'] = 'Using u-substitution and "back substituting" for x to simplify an expression';
catalog['Using ultraviolet and raking light, archaeologist Vinzenz Brinkmann examines sculptures of Athena and Paris from the Temple of Aphaia, in the Glyptothek in Munich revealing evidence of their original color. <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>'] = 'Using ultraviolet and raking light, archaeologist Vinzenz Brinkmann examines sculptures of Athena and Paris from the Temple of Aphaia, in the Glyptothek in Munich revealing evidence of their original color. <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>';
catalog['Using unit vectors to represent the components of a vector'] = 'Using unit vectors to represent the components of a vector';
catalog['Using what we know about 30-60-0 triangles to solve what at first seems to be a challenging problem'] = 'Verwenden, was wir \u00fcber 30-60-90 Dreiecke wissen, um zu l\u00f6sen, was anfangs wie eine Herausforderung aussieht';
catalog['Using what we know about takeoff velocity and runway length to determine acceleration'] = 'Using what we know about takeoff velocity and runway length to determine acceleration';
catalog['Using what we know about triangles to find the area of a regular hexagon'] = 'Unser Wissen \u00fcber Dreicke anwenden um die Fl\u00e4che eines allgemeinen Sechsecks zu bestimmen';
catalog['Using what we know to solve for angles in the Angle Game.'] = 'Using what we know to solve for angles in the Angle Game.';
catalog['Using zeros to graph polynomials'] = 'Using zeros to graph polynomials';
catalog['VSEPR for 2 electron clouds'] = 'VSEPR for 2 electron clouds';
catalog['VSEPR for 3 electron clouds'] = 'VSEPR for 3 electron clouds';
catalog['VSEPR for 4 electron clouds'] = 'VSEPR for 4 electron clouds';
catalog['VSEPR for 5 electron clouds (continued)'] = 'VSEPR for 5 electron clouds (continued)';
catalog['VSEPR for 5 electron clouds'] = 'VSEPR for 5 electron clouds';
catalog['VSEPR for 6 electron clouds'] = 'VSEPR for 6 electron clouds';
catalog['Vaccines and the autism myth - part 1'] = 'Vaccines and the autism myth - part 1';
catalog['Vaccines and the autism myth - part 2'] = 'Vaccines and the autism myth - part 2';
catalog['Valence electrons'] = 'Valenzelektronen';
catalog['Valid claims'] = 'Zul\u00e4ssige Behauptungen';
catalog['Valuation and Investing'] = 'Bewertung und Investieren';
catalog['Van Der Waals Forces: London Dispersion Forces, Dipole Attractions, and Hydrogen Bonds.'] = 'Van Der Waals Kr\u00e4fte: Londonkraft (schwache Anziehungskraft), Dipol-Anziehungskraft und Wasserstoffbr\u00fcckenbindung.';
catalog['Van Eyck, Ghent Altarpiece , 1432 (closed)'] = 'Van Eyck, Ghent Altarpiece , 1432 (closed)';
catalog['Van Gogh, Portrait of the Joseph Roulin'] = 'Van Gogh, Portrait of the Joseph Roulin';
catalog['Van Gogh, Self-Portrait Dedicated to Paul Gauguin'] = 'Van Gogh, Self-Portrait Dedicated to Paul Gauguin';
catalog['Van Gogh, The Bedroom'] = 'Van Gogh, The Bedroom';
catalog['Van Huysum, Vase with Flowers'] = 'Van Huysum, Vase with Flowers';
catalog['Van der Goes, The Adoration of the Kings'] = 'Van der Goes, The Adoration of the Kings';
catalog['Van der Weyden, Crucifixion Triptych'] = 'Van der Weyden, Crucifixion Triptych';
catalog['Van der Weyden, Crucifixion, with the Virgin and Saint John'] = 'Van der Weyden, Crucifixion, with the Virgin and Saint John';
catalog['Van der Weyden, Deposition'] = 'Van der Weyden, Deposition';
catalog['Van der Weyden, The Last Judgment Polyptych'] = 'Van der Weyden, The Last Judgment Polyptych';
catalog['Van der waals forces'] = 'Van der waals forces';
catalog['Vapor Pressure, Volatility, and Evaporation'] = 'Dampfdruck, Fl\u00fcchtigkeit und Verdunstung';
catalog['Vapor pressure example using the Ideal Gas Law'] = 'Beispiel f\u00fcr Dampfdruck mit dem idealen Gas-Gesetz';
catalog['Vapor pressure example'] = 'Vapor pressure example';
catalog['Vapor pressure'] = 'Vapor pressure';
catalog['Variability'] = 'Variability';
catalog['Variable block (counter)'] = 'Variable block (counter)';
catalog['Variable resistor (pencil)'] = 'Variable resistor (pencil)';
catalog['Variable scope and function calls'] = 'Variable scope and function calls';
catalog['Variables and Expressions 1'] = 'Variablen und Ausdr\u00fccke 1';
catalog['Variables and expressions'] = 'Variablen und Ausdr\u00fccke';
catalog['Variables on both sides'] = 'Variabeln auf beiden Seiten';
catalog['Variables'] = 'Variablen';
catalog['Variables, expressions, and equations'] = 'Variablen, Ausdr\u00fccke und Gleichungen';
catalog['Variance and standard deviation'] = 'Varianz und Standardabweichung';
catalog['Variance as a measure of, on average, how far the data points in a population are from the population mean'] = 'Varianz als Ma\u00df daf\u00fcr, wie weit die Datenpunkte in einer Grundgesamtheit vom Mittelwert der Grundgesamtheit durchschnittlich entfernt sind';
catalog['Variance of Differences of Random Variables'] = 'Varianz der Unterschiede von Zufallsvariablen';
catalog['Variance of a population'] = 'Varianz einer Grundgesamtheit';
catalog['Variance of a population.'] = 'Varianz einer Grundgesamtheit.';
catalog['Variance of differences of random variables'] = 'Varianz der Unterschiede von Zufallsvariablen';
catalog['Variation in a species'] = 'Innerartliche Variation';
catalog['Variation in samples'] = 'Variation in samples';
catalog['Vascular plants = Winning!'] = 'Gef\u00e4\u00dfpflanzen = Gewinnen!';
catalog['Vasily Kandinsky, "Kl\u00e4nge (Sounds)"'] = 'Vasily Kandinsky, "Kl\u00e4nge (Sounds)"';
catalog['Vector basics'] = 'Vector basics';
catalog['Vector dot and cross products'] = 'Vector dot and cross products';
catalog['Vector dot product and vector length'] = 'Skalarprodukt und Betrag eines Vektors';
catalog['Vector examples'] = 'Beispiele f\u00fcr Vektoren';
catalog['Vector field line integrals dependent on path direction'] = 'Vector field line integrals dependent on path direction';
catalog['Vector intro for linear algebra'] = 'Vector intro for linear algebra';
catalog['Vector representation of a surface integral'] = 'Vector representation of a surface integral';
catalog['Vector representations exercise example'] = 'Vector representations exercise example';
catalog['Vector transformations'] = 'Vektortransformationen';
catalog['Vector triangle inequality'] = 'Vector triangle inequality';
catalog['Vector triple product expansion (very optional)'] = 'Vector triple product expansion (very optional)';
catalog['Vector valued function derivative example'] = 'Vector valued function derivative example';
catalog['Vector word problems'] = 'Vector word problems';
catalog['Vectors and scalars - Passage 1'] = 'Vectors and scalars - Passage 1';
catalog['Vectors and scalars - Passage 2'] = 'Vectors and scalars - Passage 2';
catalog['Vectors and scalars'] = 'Vectors and scalars';
catalog['Vectors and spaces'] = 'Vektoren und R\u00e4ume';
catalog['Vectors in magnitude and direction form'] = 'Vectors in magnitude and direction form';
catalog['Vectors in rectangular form'] = 'Vectors in rectangular form';
catalog['Vectors'] = 'Vektoren';
catalog['Vel\u00e1zquez Los Borrachos or the Triumph of Bacchus'] = 'Vel\u00e1zquez Los Borrachos or the Triumph of Bacchus';
catalog['Vel\u00e1zquez, Vulcan\'s Forge'] = 'Vel\u00e1zquez, Vulcan\'s Forge';
catalog['Vel\u00e1zquez\'s Las Meninas'] = 'Las Meninas von Vel\u00e1zquez';
catalog['Velocity and acceleration vectors for particle'] = 'Velocity and acceleration vectors for particle';
catalog['Velocity of money rather than quantity driving prices'] = 'Velocity of money rather than quantity driving prices';
catalog['Veneziano, St. Lucy Altarpiece'] = 'Veneziano, St. Lucy Altarpiece';
catalog['Venice and the Ottoman Empire'] = 'Venedig und das Osmanische Reich';
catalog['Venice'] = 'Venedig';
catalog['Venn diagrams and adding probabilities'] = 'Venn-Diagramme und das Addieren von Wahrscheinlichkeiten';
catalog['Venn diagrams and the addition rule for probability'] = 'Venn-Diagramme und die Summen-Regel f\u00fcr die Wahrscheinlichkeit';
catalog['Venn diagrams and the addition rule'] = 'Venn-Diagramme und die Vereinigungsmenge';
catalog['Verbal Answers to "Ask Me Anything" on Reddit'] = 'M\u00fcndliche Antworten auf "Frage mich alles M\u00f6gliche" auf Reddit';
catalog['Verifying Hedge with Futures Margin Mechanics'] = 'Verifying Hedge with Futures Margin Mechanics';
catalog['Verifying hedge with futures margin mechanics'] = 'Verifying hedge with futures margin mechanics';
catalog['Veristic male portrait (similar to Head of a Roman Patrician), early 1st Century B.C.E., marble life size (Vatican Museums, Rome) Speakers: Dr. Beth Harris &amp; Dr. Steven Zucker'] = 'Veristic male portrait (similar to Head of a Roman Patrician), early 1st Century B.C.E., marble life size (Vatican Museums, Rome) Speakers: Dr. Beth Harris &amp; Dr. Steven Zucker';
catalog['Vermeer, The Glass of Wine'] = 'Vermeer, The Glass of Wine';
catalog['Vermeer, Young Woman with a Water Pitcher'] = 'Vermeer, Young Woman with a Water Pitcher';
catalog['Veronese, the Dream of Saint Helena'] = 'Veronese, the Dream of Saint Helena';
catalog['Veronese, the Family of Darius Before Alexander'] = 'Veronese, the Family of Darius Before Alexander';
catalog['Verrocchio (with Leonardo), Baptism of Christ, 1470-75\n\nSpeakers:'] = 'Verrocchio (mit Leonardo), Taufe Christi, 1470-75\n\nSprecher:';
catalog['Version'] = 'Version';
catalog['Vertex of a parabola'] = 'Der Scheitelpunkt einer Parabel';
catalog['Vertical angles 2'] = 'Scheitelwinkel 2';
catalog['Vertical angles'] = 'Scheitelwinkel';
catalog['Vertical asymptote of natural log'] = 'Vertical asymptote of natural log';
catalog['Vertical distance of bouncing ball'] = 'Vertikaler Abstand des springenden Balls';
catalog['Vertical slice of rectangular pyramid'] = 'Vertikaler Schnitt einer rechteckigen Pyramide';
catalog['Vertical, adjacent and linearly paired angles'] = 'Vertical, adjacent and linearly paired angles';
catalog['Vi Hart (http://www.youtube.com/vihart) and Sal talk about how we humans perceive things nonlinearly'] = 'Vi Hart (http://www.youtube.com/vihart) and Sal talk about how we humans perceive things nonlinearly';
catalog['Vi Hart visits Khan Academy and talks about Benford\'s Law with Sal'] = 'Vi Hart besucht die Khan Academy und redet mit Sal \u00fcber das Benfordsche Gesetz';
catalog['Vi Hart'] = 'Vi Hart';
catalog['Vi and Sal explore how we think about scale'] = 'Vi and Sal explore how we think about scale';
catalog['Vi and Sal talk about the mysteries of Benford\'s law'] = 'Vi und Sal reden \u00fcber die R\u00e4tsel des Benfordschen Gesetzes';
catalog['Vi and Sal talk through the intuition of Benford\'s law (part 2)'] = 'Vi und Sal erkl\u00e4ren die Idee hinter dem Benfordschen Gesetz (Teil 2)';
catalog['Victory Stele of Naram-Sin, Akkadian, pink limestone, 2254-2218 B.C.E. (Louvre, Paris)\n\nThis monument depicts the Akkadian victory over the Lullubi Mountain people. In the12th century B.C.E., 1,000 years after it was originally made, the Elamite king, Shutruk-Nahhunte, attacked Babylon and, according to his later inscription, the stele was taken to Susa in what is now Iran.\n\nA stele is a vertical stone monument or marker often inscribed with text or relief carving.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Victory Stele of Naram-Sin, Akkadian, pink limestone, 2254-2218 B.C.E. (Louvre, Paris)\n\nThis monument depicts the Akkadian victory over the Lullubi Mountain people. In the12th century B.C.E., 1,000 years after it was originally made, the Elamite king, Shutruk-Nahhunte, attacked Babylon and, according to his later inscription, the stele was taken to Susa in what is now Iran.\n\nA stele is a vertical stone monument or marker often inscribed with text or relief carving.\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Video ID not recognized.'] = 'Video ID not recognized.';
catalog['Video Manage'] = 'Video Manage';
catalog['Video by <a href="http://www.aops.com">Art of Problem Solving</a>. &nbsp;Problem from the MAA <a href="http://amc.maa.org">American Mathematics Competitions</a>'] = 'Video by <a href="http://www.aops.com">Art of Problem Solving</a>. &nbsp;Problem from the MAA <a href="http://amc.maa.org">American Mathematics Competitions</a>';
catalog['Video download error... click to retry'] = 'Video-Download-Fehler... Klicken um nochmals zu versuchen';
catalog['Video games and violence'] = 'Videospiele und Gewalt';
catalog['Video of Sal on CNN on October 10th discussing the credit crisis and a potential solution to it.'] = 'Video of Sal on CNN on October 10th discussing the credit crisis and a potential solution to it.';
catalog['Video points'] = 'Video points';
catalog['Video progress not saved.'] = 'Video progress not saved.';
catalog['Video time'] = 'Video time';
catalog['Videocast with Sal Khan: Effectively Using Khan Academy'] = 'Videocast mit Sal Khan: effektive Nutzung der Khan Academy';
catalog['Videos Viewed'] = 'Videos Viewed';
catalog['Videos about how government works in the United States.'] = 'Videos \u00fcber die Funktionsweise der Regierung in den Vereinigten Staaten.';
catalog['Videos and Exercises'] = 'Videos und \u00dcbungen';
catalog['Videos and exercises on trigonometry.  Watch the "Geometry" playlist first if you have trouble understanding the topics covered here.'] = 'Videos und \u00dcbungen zur Trigonometrie. Schau dir zun\u00e4chst die Playlist zu Geometrie an, wenn dir die Themen hier zu schwierig vorkommen.';
catalog['Videos attempting to grasp a little bit about our Universe (many of the topics associated with "Big History")'] = 'Videos, die etwas \u00fcber unser Universum erz\u00e4hlen (viele der Themen haben etwas mit Erdgeschichte zu tun)';
catalog['Videos exploring the way things work.'] = 'Videos erforschen, wie die Dinge funktionieren.';
catalog['Videos exploring why algebra was developed and how it helps us explain our world.'] = 'Videos, die erkl\u00e4ren warum die Algebra entwickelt wurde und wie sie uns hilft, unsere Welt zu erkl\u00e4ren.';
catalog['Videos on chemistry (roughly covering a first-year high school or college course).'] = 'Videos zur Chemie (deckt ungef\u00e4hr den Stoff des ersten Unterrichtsjahres ab).';
catalog['Videos on finance and macroeconomics'] = 'Videos zu Finanzen und Makro\u00f6konomie';
catalog['Videos'] = 'Videos';
catalog['Vietnam War'] = 'Vietnam-Krieg';
catalog['View Report'] = 'View Report';
catalog['View the conservation and installation of a large cosmological painting&nbsp;in the Asian Art Museum&#39;s collection. Learn more about&nbsp;<a href="http://www.asianart.org/collections/art-conservation">conservation at the Asian Art Museum</a>.'] = 'View the conservation and installation of a large cosmological painting&nbsp;in the Asian Art Museum&#39;s collection. Learn more about&nbsp;<a href="http://www.asianart.org/collections/art-conservation">conservation at the Asian Art Museum</a>.';
catalog['Viewed'] = 'Viewed';
catalog['Viewing g as the value of Earth\'s gravitational field near the surface rather than the acceleration due to gravity near Earth\'s surface for an object in freefall'] = 'Viewing g as the value of Earth\'s gravitational field near the surface rather than the acceleration due to gravity near Earth\'s surface for an object in freefall';
catalog['Viewing g as the value of Earth\'s gravitational field near the surface'] = 'Viewing g as the value of Earth\'s gravitational field near the surface';
catalog['Viewing the determinant of the transformation matrix as a scaling factor of regions'] = 'Viewing the determinant of the transformation matrix as a scaling factor of regions';
catalog['Viewing'] = 'Viewing';
catalog['Views of a function'] = 'Ansichten einer Funktion';
catalog['Vig\u00e9e Le Brun, Madame Perregaux'] = 'Vig\u00e9e Le Brun, Madame Perregaux';
catalog['Vigenere cipher encryption'] = 'Vigen\u00e8re-Chiffre Verschl\u00fcsselung';
catalog['Viking Mission'] = 'Viking Mission';
catalog['Vincent van Gogh, Portrait of Joseph Roulin, early 1889 (MoMA) \n\nSpeakers: Beth Harris and Steven Zucker'] = 'Vincent van Gogh, Portrait of Joseph Roulin, early 1889 (MoMA) \n\nSpeakers: Beth Harris and Steven Zucker';
catalog['Vincent van Gogh, Self-Portrait Dedicated to Paul Gauguin, 1888, oil on canvas, 24 x 19-11/16 inches (Fogg, Harvard Art Museums)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://smarthistory.org/van-gogh-self-portrait-dedicated-to-paul-gauguin.html'] = 'Vincent van Gogh, Self-Portrait Dedicated to Paul Gauguin, 1888, oil on canvas, 24 x 19-11/16 inches (Fogg, Harvard Art Museums)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://smarthistory.org/van-gogh-self-portrait-dedicated-to-paul-gauguin.html';
catalog['Vincent van Gogh, The Bedroom, 1889, oil on canvas, 29 x 36-5/8 inches / 73.6 x 92.3 cm (Art Institute of Chicago)'] = 'Vincent van Gogh, The Bedroom, 1889, oil on canvas, 29 x 36-5/8 inches / 73.6 x 92.3 cm (Art Institute of Chicago)';
catalog['Virgin from Ger'] = 'Virgin from Ger';
catalog['Virgin from Ger, second half of the 12th century, wood, tempera, and stucco,\n51.8 x 20.5 x 15.5 cm, From the parish church of Santa Coloma de Ger,\nBaixa Cerdanya (Museu Nacional d\'Art de Cataunya Palau Nacional, Barcelona)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = 'Virgin from Ger, second half of the 12th century, wood, tempera, and stucco,\n51.8 x 20.5 x 15.5 cm, From the parish church of Santa Coloma de Ger,\nBaixa Cerdanya (Museu Nacional d\'Art de Cataunya Palau Nacional, Barcelona)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['Virtual Image'] = 'Virtual Image';
catalog['Virtual autopsy: exploring a natural mummy from early Egypt'] = 'Virtual autopsy: exploring a natural mummy from early Egypt';
catalog['Virtual image'] = 'Virtual image';
catalog['Viruses'] = 'Viren';
catalog['Visible Light (1672)'] = 'Sichtbares Licht (1672)';
catalog['Visit trans the admin panel'] = 'Visit trans the admin panel';
catalog['Visogoths, Ostrogoths, and Vikings, oh my! Western Europe was not a peaceful place during the 600 years after the fall of the Roman Empire. Western Europe (what is now Italy, France, Spain, England, etc.) had been repeatedly invaded. The result was a fractured feudal society with little stability and little economic growth. Charlemagne and the Ottonians had partially and briefly unified the West, and of course the Church was a stabilizing institution, but it was only in the 11th Century that everything changed. Now there was finally enough peace and prosperity to allow for travel and for the widespread construction of large buildings. These were, with rare exceptions, the first large structures to be built in the West since the fall of the Romans so many centuries before. We call the period Romanesque (Roman-like) because the masons of this period looked back to the architecture of ancient Rome. The relative calm of the Romanesque period also meant it was possible to travel, and the faithful set out on pilgrimages in great numbers to visit holy relics in churches across Europe. This meant that ideas and styles also traveled, towns grew and churches were built and enlarged.'] = 'Visogoths, Ostrogoths, and Vikings, oh my! Western Europe was not a peaceful place during the 600 years after the fall of the Roman Empire. Western Europe (what is now Italy, France, Spain, England, etc.) had been repeatedly invaded. The result was a fractured feudal society with little stability and little economic growth. Charlemagne and the Ottonians had partially and briefly unified the West, and of course the Church was a stabilizing institution, but it was only in the 11th Century that everything changed. Now there was finally enough peace and prosperity to allow for travel and for the widespread construction of large buildings. These were, with rare exceptions, the first large structures to be built in the West since the fall of the Romans so many centuries before. We call the period Romanesque (Roman-like) because the masons of this period looked back to the architecture of ancient Rome. The relative calm of the Romanesque period also meant it was possible to travel, and the faithful set out on pilgrimages in great numbers to visit holy relics in churches across Europe. This meant that ideas and styles also traveled, towns grew and churches were built and enlarged.';
catalog['Visual description of the insertion sort algorithm'] = 'Visuelle Beschreibung des Insertion-Sort-Algorithmus';
catalog['Visual field processing'] = 'Visual field processing';
catalog['Visual sensory information'] = 'Visual sensory information';
catalog['Visual telegraphs (case study)'] = 'Visuelle Telegraphie (Fallstudie)';
catalog['Visual understanding of centripetal acceleration formula'] = 'Visual understanding of centripetal acceleration formula';
catalog['Visual understanding of how centripetal acceleration relates to velocity and radius'] = 'Visual understanding of how centripetal acceleration relates to velocity and radius';
catalog['Visualizations of left nullspace and rowspace'] = 'Visualizations of left nullspace and rowspace';
catalog['Visualizing Taylor Series for e^x'] = 'graphische Darstellung Taylor Reihen f\u00fcr e^x';
catalog['Visualizing Taylor series approximations'] = 'Visualisierung der Ann\u00e4herung mit Taylor Reihe';
catalog['Visualizing Taylor series for e^x'] = 'graphische Darstellung Taylor Reihen f\u00fcr e^x';
catalog['Visualizing a column space as a plane in R3'] = 'Visualizing a column space as a plane in R3';
catalog['Visualizing a projection onto a plane'] = 'Visualizing a projection onto a plane';
catalog['Visualizing a projection onto a plane.  Showing that the old and new definitions of projections aren\'t that different.'] = 'Visualizing a projection onto a plane.  Showing that the old and new definitions of projections aren\'t that different.';
catalog['Visualizing a suitable parameterization'] = 'Visualizing a suitable parameterization';
catalog['Visualizing and interpreting relationships between patterns'] = 'Visualisierung und Interpretation von Beziehungen zwischen Mustern';
catalog['Visualizing average costs and marginal costs as slope'] = 'Visualizing average costs and marginal costs as slope';
catalog['Visualizing changes in amplitude and period for a cosine function'] = 'Visualisierung von \u00c4nderungen der Amplitude und Phase f\u00fcr eine Cosinusfunktion';
catalog['Visualizing derivatives and antiderivatives'] = 'Grafische Darstellung von Ableitungen und Gegenableitungen';
catalog['Visualizing derivatives exercise'] = 'Visualizing derivatives exercise';
catalog['Visualizing derivatives'] = 'Veranschaulichung von Ableitungen';
catalog['Visualizing equivalent fractions'] = 'Visualisierung gleichwertiger Br\u00fcche';
catalog['Visualizing fraction multiplication'] = 'Darstellung der Multiplikation von Br\u00fcchen';
catalog['Visualizing graphs of functions and their derivatives'] = 'Visualizing graphs of functions and their derivatives';
catalog['Visualizing the derivative of a position vector valued function'] = 'Visualizing the derivative of a position vector valued function';
catalog['Visualizing the relationship between sessions attended and total cost'] = 'Graphische Darstellung der Beziehung zwischen der Anzahl der besuchten Sitzungen und den Gesamtkosten';
catalog['Visualizing the rowspace solution to Ax=b'] = 'Visualizing the rowspace solution to Ax=b';
catalog['Visualizing the solution set for a system of inequalities'] = 'Graphische Darstellung der L\u00f6sungsmenge eines Ungleichungssystems';
catalog['Visualizing vector addition examples'] = 'Visualizing vector addition examples';
catalog['Visualizing vectors in 2 dimensions'] = 'Visualizing vectors in 2 dimensions';
catalog['Visualizing, adding and breaking down vectors in 2 dimensions'] = 'Visualizing, adding and breaking down vectors in 2 dimensions';
catalog['Visually determining vertical asymptotes'] = 'Visuell die vertikalen Asymptoten bestimmen';
catalog['Visually proving the Pythagorean Theorem'] = 'Der optische Beweis f\u00fcr den Satz des Pythagoras';
catalog['Visually understanding basic vector operations'] = 'Grundlegende Vektor-Operationen graphisch verstehen';
catalog['Voltage'] = 'Spannung';
catalog['Volume 1'] = 'Band 1';
catalog['Volume and surface area'] = 'Volumen und Oberfl\u00e4cheninhalt';
catalog['Volume measures how much 3-dimensional "space" an object takes up.  We\'ll see in this tutorial that it is an extension of length (1-D) or area (2-D) to three dimensions!'] = 'Das Volumen misst, wieviel 3-dimensionalen "Raum" ein Objekt einnimmt. Wir sehen in diesem Tutorial, dass es eine Ausweitung von L\u00e4nge (1-D) oder Fl\u00e4che (2-D) auf drei Dimensionen ist!';
catalog['Volume of a Sphere'] = 'Volumen einer Kugel';
catalog['Volume of a box or rectangular prism'] = 'Volumen einer Kiste oder eines rechteckigen Prismas';
catalog['Volume of a cone'] = 'Volumen eines Kegels';
catalog['Volume of a rectangular prism or box examples'] = 'Volumenberechnung eines rechteckigen Prismas oder einer Schachtel - Beispiel';
catalog['Volume of a rectangular prism with fractional cubes'] = 'Volumen von einem Quader, der aus W\u00fcrfeln mit Seitenl\u00e4nge in Bruchform besteht';
catalog['Volume of a rectangular prism with fractional dimensions'] = 'Volumen eines Quaders mit Ma\u00dfen in Bruchform';
catalog['Volume of a solid of rotation and Chain Rule for rates of change.'] = 'Volume of a solid of rotation and Chain Rule for rates of change.';
catalog['Volume of a sphere'] = 'Volumen einer Kugel';
catalog['Volume of a wedge cut from a cylindrical log'] = 'Volumen eines Keilanschnitts aus einem Zylinder';
catalog['Volume of gold ring'] = 'Volumen eines Goldrings';
catalog['Volume of marbles in a fish tank'] = 'Volumen der Murmeln in einem Aquarium';
catalog['Volume of solid created by rotating around vertical line that is not the y-axis using the disc method.'] = 'Volume of solid created by rotating around vertical line that is not the y-axis using the disc method.';
catalog['Volume of triangular prisms and cubes'] = 'Das Volumen von Pyramiden und W\u00fcrfeln';
catalog['Volume under a surface with double integrals. Triple integrals as well.'] = 'Volmenberechnung unter Fl\u00e4chen mit Doppel- und Dreifach-Integralen.';
catalog['Volume with fractions'] = 'Volume with fractions';
catalog['Volume with unit cubes 1'] = 'Volume with unit cubes 1';
catalog['Volume with unit cubes 2'] = 'Volume with unit cubes 2';
catalog['Volume word problem example'] = 'Beispiel zur Volumenberechnung als Textaufgabe';
catalog['Volume word problems 1'] = 'Textaufgaben zum Volumen 1';
catalog['Volume word problems 2'] = 'Textaufgaben zum Volumen 2';
catalog['Volume word problems with cones, cylinders, and spheres'] = 'Textaufgaben \u00fcber Volumen von Kegeln, Zylindern und Kugeln';
catalog['Volume word problems with fractions'] = 'Textaufgaben zu Volumina mit Br\u00fcchen';
catalog['Volume'] = 'Volumen';
catalog['Volumes with unit cubes'] = 'Volumes with unit cubes';
catalog['Vygotsky sociocultural development'] = 'Vygotsky sociocultural development';
catalog['WW2 Encryption is explored with a focus on the Enigma. Read more <a data-cke-saved-href="http://en.wikipedia.org/wiki/Enigma_machine" href="http://en.wikipedia.org/wiki/Enigma_machine">here</a>.'] = 'WW2 Encryption is explored with a focus on the Enigma. Read more <a data-cke-saved-href="http://en.wikipedia.org/wiki/Enigma_machine" href="http://en.wikipedia.org/wiki/Enigma_machine">here</a>.';
catalog['WWI Aftermath'] = 'WWI Aftermath';
catalog['WWI Blockades and America'] = 'WWI Blockades and America';
catalog['Wait for it... the Mongols!'] = 'Warte, es kommt gleich .... die Mongolen!';
catalog['Wait, I\'m in Europe and my car only tells my distance traveled in kilometers!  But I\'m used to a units of distance devised by the Romans to measure the average length of 1000 paces of a soldier (the "mile")!  How do I operate?  \n\nThis tutorial is about the fundamental skill of unit conversion.  Sal\'s cousin Nadia being a bit confused  with this was actually the reason why he started tutoring her (which led to the creation of the Khan Academy).'] = 'Warte, ich bin in Europa und mein Auto misst meine Strecke nur in Kilometern! Aber ich bin vertraut mit den von den R\u00f6mern entwickelten Einheiten, die die durchschnittliche L\u00e4nge von 1000 Schritt eines Soldaten (die "Meile") messen! Was mache ich?  Dieses Tutorial ist f\u00fcr die grundlegende F\u00e4higkeit der Einheitkonvertierung.  Sals Cousine Nadia hatte mit dieser Konvertierung Probleme.  Eigentlich war das Grund, warum angefangen hat ihr Nachhilfe zu geben (das f\u00fchrte zur Gr\u00fcndung der Khan Academy).\n';
catalog['Wait, I\'m in Europe and my car only tells my distance traveled in kilometers! But I\'m used to a units of distance devised by the Romans to measure the average length of 1000 paces of a soldier (the "mile")! How do I operate? This tutorial is about the fundamental skill of unit conversion. Sal\'s cousin Nadia being a bit confused with this was actually the reason why he started tutoring her (which led to the creation of the Khan Academy).\n\nCommon Core Standard: 5.MD.A.1'] = 'Moment mal, ich bin in Europa und mein Auto gibt mir die Strecke, die ich zur\u00fcckgelegt habe, in Kilometern an! Aber ich bin an L\u00e4ngeneinheiten gew\u00f6hnt, die von den R\u00f6mern entwickelt wurden, um die durchschnittliche L\u00e4nge von 1000 Schritten eines Soldaten zu messen (die "Meile")! Wie rechne ich damit? In diesem Tutorial geht es um die Grundfertigkeit des Umrechnens von Einheiten. Dass Sals Cousine Nadia damit etwas durcheinander kam, war der Grund, dass er begann, ihr Nachhilfe zu geben (was zur Entstehung der Khan Academy f\u00fchrte).\n\nCommon Core Standard: 5.MD.A.1';
catalog['Wait, I\'m in Europe and my car only tells my distance traveled in kilometers! But I\'m used to a units of distance devised by the Romans to measure the average length of 1000 paces of a soldier (the "mile")! How do I operate? This tutorial is about the fundamental skill of unit conversion.\n\nCommon Core Standard: 6.RP.A.3d'] = 'Warte, ich bin in Europa, und mein Auto zeigt mir nur die zur\u00fcckgelegte Strecke in Kilometern! Aber ich bin an eine L\u00e4ngenma\u00dfeinheit gewohnt, die von den R\u00f6mern entwickelt wurde, um die durchschnittliche L\u00e4nge der 1000 Schritte eines Soldaten (die "Meile") zu messen! Wie gehe ich vor? Dieses Tutorial vermittelt dir die grundlegenden F\u00e4higkeiten um Einheiten umzuwandeln.\n\nCommon Core Standard: 6.RP.A.3d';
catalog['Wait, why are we using letters in math?  How can an \'x\' represent a number?  What number is it?  I must figure this out!!! Yes, you must.\n\nThis tutorial is great if you\'re just beginning to delve into the world of algebraic variables and expressions.'] = 'Moment, wieso nutzen wir Buchstaben in der Mathematik? Wie kann "x" eine Zahl darstellen? Was f\u00fcr eine Zahl ist das? Ich muss das verstehen!!! Ja, das musst Du. \n\n Dieses Tutorial ist daf\u00fcr gedacht, um Dir den Einstieg in die Welt der algebraischen Variablen und Ausdr\u00fccke zu erm\u00f6glichen.';
catalog['Wait, why are we using letters in math? How can an \'x\' represent a number? What number is it? I must figure this out!!! Yes, you must. This tutorial is great if you\'re just beginning to delve into the world of algebraic variables and expressions.\n\nCommon Core Standards: 6.EE.A.1, 6.EE.A.2b, 6.EE.A.2c'] = 'Warte, warum verwenden wir Buchstaben in Mathe? Wie kann ein "x" eine Zahl darstellen? Welche Zahl ist es? Ich muss das herausfinden!!! Ja, das musst du. Dieses Tutorial ist toll, wenn du gerade erst beginnst, dich tief in die Welt der algebraische Variablen und Terme zu vergraben.\n\nCommon Basisnormen: 6.EE.A.1, 6.EE.A.2b, 6.EE.A.2c';
catalog['Walk the streets of 1913 Berlin with the Expressionist painter Ernst Ludwig Kirchner.&nbsp;To learn about other great moments in modern art, take our online course, <a href="http://www.moma.org/learn/courses/online#course5">Modern Art, 1880-1945</a>.'] = 'Walk the streets of 1913 Berlin with the Expressionist painter Ernst Ludwig Kirchner.&nbsp;To learn about other great moments in modern art, take our online course, <a href="http://www.moma.org/learn/courses/online#course5">Modern Art, 1880-1945</a>.';
catalog['Walk-through of the Khan Academy Unit Circle Manipulative: http://www.khanacademy.org/math/trigonometry/e/unit_circle'] = 'Walk-through of the Khan Academy Unit Circle Manipulative: http://www.khanacademy.org/math/trigonometry/e/unit_circle';
catalog['Walker Evans in his own words'] = 'Walker Evans in his own words';
catalog['Walker Evans sought to produce evocative photographs that were an accurate record of the day. Hear Evans talk about his work during the Depression, and his collaboration with the author James Agee. &nbsp;Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>'] = 'Walker Evans sought to produce evocative photographs that were an accurate record of the day. Hear Evans talk about his work during the Depression, and his collaboration with the author James Agee. &nbsp;Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>';
catalog['Walking through the streets of Florence in the summer isn\u2019t always easy, it\u2019s jam packed with students and tourists who have come to study and admire the city\u2019s treasures including Michelangelo\u2019s David, Botticelli\u2019s Birth of Venus, and the engineering brilliance of Brunelleschi. Florence in the 15th Century was fabulously wealthy thanks to its banking and manufacturing families. The Medici, the de-facto rulers of the city, were bankers who commissioned some of the most important art of the Renaissance. Florence was also a center of the Humanist revival that in many ways is what separates our Modern world from the Medieval era.'] = 'Walking through the streets of Florence in the summer isn\u2019t always easy, it\u2019s jam packed with students and tourists who have come to study and admire the city\u2019s treasures including Michelangelo\u2019s David, Botticelli\u2019s Birth of Venus, and the engineering brilliance of Brunelleschi. Florence in the 15th Century was fabulously wealthy thanks to its banking and manufacturing families. The Medici, the de-facto rulers of the city, were bankers who commissioned some of the most important art of the Renaissance. Florence was also a center of the Humanist revival that in many ways is what separates our Modern world from the Medieval era.';
catalog['Walkthrough of Diffie-Hellman Key Exchange'] = 'Komplettl\u00f6sung f\u00fcr den Diffie-Hellman-Schl\u00fcsselaustausch';
catalog['Wallis, Chatterton'] = 'Wallis, Chatterton';
catalog['Walter Alvarez introduces geology and discusses how the physical features of Earth can tell us about its history.<br>'] = 'Walter Alvarez introduces geology and discusses how the physical features of Earth can tell us about its history.<br>';
catalog['Walter Isaacson, author of <em>Benjamin Franklin: An American Life</em>, talks to Sal about the background to the Declaration of Independence'] = 'Walter Isaacson, author of <em>Benjamin Franklin: An American Life</em>, talks to Sal about the background to the Declaration of Independence';
catalog['Walter Isaacson, author of&nbsp;Benjamin Franklin: An American Life, talks to Sal about the&nbsp;Declaration of Independence<br>'] = 'Walter Isaacson, author of&nbsp;Benjamin Franklin: An American Life, talks to Sal about the&nbsp;Declaration of Independence<br>';
catalog['Walter Isaacson, author of&nbsp;Benjamin Franklin: An American Life, talks to Sal about the&nbsp;birth of the US Constitution<br>'] = 'Walter Isaacson, author of&nbsp;Benjamin Franklin: An American Life, talks to Sal about the&nbsp;birth of the US Constitution<br>';
catalog['Warhol, Campbell\'s Soup Cans'] = 'Warhol, Campbell\'s Soup Cans';
catalog['Warhol, Gold Marilyn Monroe'] = 'Warhol, Gold Marilyn Monroe';
catalog['Warmups related to number theory'] = 'Warmups related to number theory';
catalog['Warning: changing database values can break your KA Lite installation!'] = 'Warning: changing database values can break your KA Lite installation!';
catalog['Was writing invented to record poetry or great literature? Nope. Writing was invented to help keep track of beer and other goods and services! The ancient Sumerians were nothing if not practical. Ancient cultures established the first cities and large scale architecture. From the Gates of the City of Ancient Babylon, to the ancient code of laws instituted by King Hammurabi, the Ancient Near East is strangely distant but also remarkably familiar.'] = 'Was writing invented to record poetry or great literature? Nope. Writing was invented to help keep track of beer and other goods and services! The ancient Sumerians were nothing if not practical. Ancient cultures established the first cities and large scale architecture. From the Gates of the City of Ancient Babylon, to the ancient code of laws instituted by King Hammurabi, the Ancient Near East is strangely distant but also remarkably familiar.';
catalog['Washer method rotating around non-axis'] = 'Washer method rotating around non-axis';
catalog['Washer method when rotating around a horizontal line that is not the x-axis'] = 'Washer method when rotating around a horizontal line that is not the x-axis';
catalog['Washer or ring method for vertical line rotation'] = 'Washer or ring method for vertical line rotation';
catalog['Washington Allston, Elijah in the Desert, 1818, oil on canvas, 125.09 x 184.78 cm / 49 1/4 x 72 3/4 inches (Museum of Fine Arts, Boston)'] = 'Washington Allston, Elijah in the Desert, 1818, oil on canvas, 125.09 x 184.78 cm / 49 1/4 x 72 3/4 inches (Museum of Fine Arts, Boston)';
catalog['Wassily Kandinsky, Composition VII, oil on canvas, 1913 (State Tretyakov Gallery, Moscow)\n\nSpeakers: Dr. Beth Harris, Dr. Juliana Kreinik, Dr. Steven Zucker \n\nhttp://smarthistory.org/Kandinsky-CompositionVII.html'] = 'Wassily Kandinsky, Composition VII, oil on canvas, 1913 (State Tretyakov Gallery, Moscow)\n\nSpeakers: Dr. Beth Harris, Dr. Juliana Kreinik, Dr. Steven Zucker \n\nhttp://smarthistory.org/Kandinsky-CompositionVII.html';
catalog['Watch Jannis Kounellis combine painting music and dance.&nbsp;To learn more about what artists have to say, take our online course,&nbsp;<a href="http://www.moma.org/learn/courses/online#course6">Modern and Contemporary Art, 1945-1989</a>.'] = 'Watch Jannis Kounellis combine painting music and dance.&nbsp;To learn more about what artists have to say, take our online course,&nbsp;<a href="http://www.moma.org/learn/courses/online#course6">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Watch Richard Serra\'s Torqued Ellipse IV &nbsp;(1998) and Intersection II (1992) installed in the Abby Aldrich Rockefeller Sculpture Garden in 2007. To learn about how art changes over time, enroll in one of MoMA\'s online courses.'] = 'Watch Richard Serra\'s Torqued Ellipse IV &nbsp;(1998) and Intersection II (1992) installed in the Abby Aldrich Rockefeller Sculpture Garden in 2007. To learn about how art changes over time, enroll in one of MoMA\'s online courses.';
catalog['Watch Videos'] = 'Watch Videos';
catalog['Watch a glassmaker create a mosaic glass bowl (footage from the Corning Museum of Glass). Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Watch a glassmaker create a mosaic glass bowl (footage from the Corning Museum of Glass). Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Watch a potter mold, throw, and pull an Athenian vase using ancient methods. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>'] = 'Watch a potter mold, throw, and pull an Athenian vase using ancient methods. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a><br>';
catalog['Watch a sculptor demonstrate the use of traditional tools\u2014such as the tooth chisel, the point chisel, the drill, and the rasp\u2014as he creates a finished figure &nbsp;from a block of marble. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Watch a sculptor demonstrate the use of traditional tools\u2014such as the tooth chisel, the point chisel, the drill, and the rasp\u2014as he creates a finished figure &nbsp;from a block of marble. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Watch an insider\'s tour of Khan Academy with founder Sal Khan. This VIP event offers Idaho\'s classroom teachers access to one of the most exciting figures in education today. For more information, please visit www.theEDsessions.org/salsinsiderstour'] = 'Machen Sie die "Insider Tour" mit Sal Khan, dem Gr\u00fcnder der Khan Akademie. Diese VIP-Veranstaltung bietet Idahos Klassenlehrer Zugang zu einer der spannendsten Figuren in der Bildung von Heute. F\u00fcr weitere Informationen besuchen bitte http://www.theEDsessions.org/salsinsiderstour';
catalog['Watch as a molecule of oxygen makes its way from the alveoli (gas layer) through various liquid layers in order to end up in the blood.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'Watch as a molecule of oxygen makes its way from the alveoli (gas layer) through various liquid layers in order to end up in the blood.  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['Watch as fetal blood goes through umbilical vessels and takes a shortcut through the Ductus Venosus to make it back to the heart.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Watch as fetal blood goes through umbilical vessels and takes a shortcut through the Ductus Venosus to make it back to the heart.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Watch as the heart cells use energy to reset the concentration gradients for all of the ions after the action potential has gone through. Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Watch as the heart cells use energy to reset the concentration gradients for all of the ions after the action potential has gone through. Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Watch as the pressure and amount of blood inside the left ventricle go up and down within fractions of a second!'] = 'Schau zu wie der Druck und die Blutmenge im linken Ventrikel innerhelb von Sekundenbruchteilen ansteigt und abf\u00e4llt!';
catalog['Watch conservators from the Pergamon Museum in Berlin and the Getty Museum disassemble, clean and reassemble an ancient Roman marble sculpture. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Watch conservators from the Pergamon Museum in Berlin and the Getty Museum disassemble, clean and reassemble an ancient Roman marble sculpture. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Watch fun, educational videos on all sorts of Materials, how they\'re created and what they can do.'] = 'Watch fun, educational videos on all sorts of Materials, how they\'re created and what they can do.';
catalog['Watch fun, educational videos on all sorts of Physics questions.'] = 'Schaue dir unterhaltsame Lehrvideos an, zu allen m\u00f6glichen Fragen aus der Physik.';
catalog['Watch how PV loops can be "morphed" into PV boxes to make drawing them and thinking about them much simpler.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Watch how PV loops can be "morphed" into PV boxes to make drawing them and thinking about them much simpler.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Watch how blood gets diverted away from alveoli with low oxygen levels.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Sehen Sie, wie Blut von Alveolen mit niedrigen Sauerstoffgehalt weggeleitet wird.  Rishi ist ein Arzt f\u00fcr p\u00e4diatrische Infektionskrankheiten und arbeitet an der Khan Academy.';
catalog['Watch how the blood flows through the baby\'s circulation and compare it to what happens in the fetus. Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Watch how the blood flows through the baby\'s circulation and compare it to what happens in the fetus. Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Watch how the blood flows through the fetal circulation and compare it to what happens in the baby\'s body.  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Watch how the blood flows through the fetal circulation and compare it to what happens in the baby\'s body.  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Watch how the fetal heart allows blood to simply bypass the lungs altogether using the Foramen Ovale and the Ductus Arteriosus!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Watch how the fetal heart allows blood to simply bypass the lungs altogether using the Foramen Ovale and the Ductus Arteriosus!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Watch the pressure in the left heart go up and down with every heart beat!  Rishi is a pediatric infectious disease physician and works at Khan Academy.'] = 'Watch the pressure in the left heart go up and down with every heart beat!  Rishi is a pediatric infectious disease physician and works at Khan Academy.';
catalog['Watch videos suitable for kids.'] = 'Schaut euch Videos an, die f\u00fcr Kinder geeignet sind.';
catalog['Watch'] = 'Ansehen';
catalog['Watching a soccer game is a lot more interesting if you\u2019ve actually played the game yourself. Similarly, art makes a lot more sense if you understand how it was made. Different materials can have a profound effect on how a work of art looks and how we respond to it. Learn about how artist\u2019s made their own supplies before there were art supply stores! Understand the differences between oil and tempera and how marble is quarried and carved.'] = 'Watching a soccer game is a lot more interesting if you\u2019ve actually played the game yourself. Similarly, art makes a lot more sense if you understand how it was made. Different materials can have a profound effect on how a work of art looks and how we respond to it. Learn about how artist\u2019s made their own supplies before there were art supply stores! Understand the differences between oil and tempera and how marble is quarried and carved.';
catalog['Water - Liquid awesome'] = 'Wasser - geniale Fl\u00fcssigkeit';
catalog['Water balloon outcomes'] = 'Wasser-Ballon Ergebnisse';
catalog['Wau: The most amazing, ancient, and singular number'] = 'Wau: The most amazing, ancient, and singular number';
catalog['Waves and optics'] = 'Wellen und Optik';
catalog['We all have confidence intervals ("I\'m the king of the world!!!!") and non-confidence intervals ("No one loves me").  That is not what this tutorial is about.\n\nThis tutorial takes what you already know about the central limit theorem, sampling distributions, and z-scores and uses these tools to dive into the world of inferential statistics.  It may seem magical at first, but from our sample, we can now make inferences about the probability of our population mean actually being in an interval.'] = 'We all have confidence intervals ("I\'m the king of the world!!!!") and non-confidence intervals ("No one loves me").  That is not what this tutorial is about.\n\nThis tutorial takes what you already know about the central limit theorem, sampling distributions, and z-scores and uses these tools to dive into the world of inferential statistics.  It may seem magical at first, but from our sample, we can now make inferences about the probability of our population mean actually being in an interval.';
catalog['We all use money and most of us use banks.  Despite this, the actual working of the banking system is a bit of a mystery to most (especially fractional reserve banking).\n\nThis older tutorial (bad handwriting and resolution) starts from a basic society looking to do more than barter and incrementally builds to a modern society with fraction reserve banking. Through this process, you will hopefully gain a deep understanding of how money and banking works in our modern world.'] = 'We all use money and most of us use banks.  Despite this, the actual working of the banking system is a bit of a mystery to most (especially fractional reserve banking).\n\nThis older tutorial (bad handwriting and resolution) starts from a basic society looking to do more than barter and incrementally builds to a modern society with fraction reserve banking. Through this process, you will hopefully gain a deep understanding of how money and banking works in our modern world.';
catalog['We already know that the same quantity can be represented as a decimal or a fraction.  In this tutorial, we\'ll begin to see how a fraction can be rewritten as a decimal.'] = 'Wir wissen bereits, dass manche Mengen als Dezimalzahl oder als Bruch dargestellt werden k\u00f6nnen.  In diesem Tutorial werden wir damit beginnen, wie ein Bruch als Dezimalzahl umgeschrieben werden kann.';
catalog['We already know that we can represent the set of all x-y pairs that satisfy a linear equation as a line.  If there is a point where two of these lines intersect, then the x-y pair corresponding to that point must satisfy both equations. \n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8a'] = 'Wir wissen bereits, dass wir die Menge aller X-Y-Wertepaare, die eine lineare Gleichung erf\u00fcllen, als eine Linie darstellen k\u00f6nnen. Wenn es einen Punkt gibt, in dem sich beide Linien kreuzen, dann muss das X-Y-Wertepaar dieses Punktes beiden Gleichungen erf\u00fcllen. \n\nPflichtf\u00e4cher: 8.EE.C.8, 8.EE.C.8a';
catalog['We are now going to leverage our understanding of the coordinate plane to think about distances between points and ratios of lengths of segments between points.'] = 'Jetzt werden wir uns unser Verst\u00e4ndnis f\u00fcr das Koordinatensystem zu Nutzen machen um \u00fcber Abst\u00e4nde zwischen Punkten und Verh\u00e4ltnissen von Streckenl\u00e4ngen zwischen Punkten nachzudenken.';
catalog['We are now going to solve real-world problems using multiple steps.  Along the way, we\'ll be using letters to represent unknown quantities.\n\nCommon Core Standard: 3.OA.D.8'] = 'Wir werden jetzt reale Probleme in mehreren Schritten l\u00f6sen.  Auf dem Weg dorthin werden wir Buchstaben f\u00fcr unbekannte Mengen verwenden.\n\nCommon Core Standard: 3.OA.D.8';
catalog['We are steadily building up the tools to understand the Keynesian Cross and the IS-LM model.  In this tutorial, we begin to model consumption as a linear function of disposable income.  Seems reasonable to me.'] = 'We are steadily building up the tools to understand the Keynesian Cross and the IS-LM model.  In this tutorial, we begin to model consumption as a linear function of disposable income.  Seems reasonable to me.';
catalog['We begin to seriously channel Euclid in this tutorial to really, really (no, really) prove things--in particular, that triangles are congruents.  You\'ll appreciate (and love) what rigorous proofs are.  It will sharpen your mind and make you a better friend, relative and citizen (and make you more popular in general).  Don\'t have too much fun.'] = 'Du beginnst damit Eukllid wirklich aufzunehmen und etwas wirklich, wirklich (also, wirklich) zu bewiesen - im Besonderen, dass Dreiecke kongruent sind. Du wirst rigorose Beweise sch\u00e4tzen (und lieben) lernen. Es wird deinen Verstand sch\u00e4rfen und aus dir einen besseren Freund, Verwandten und B\u00fcrger machen (und es macht dich im allgemeinen ber\u00fchmter). Hab nicht zu viel Spa\u00df.';
catalog['We bet you thought that rocks are just rocks, but the truth is there are three different kinds of rocks. Learn the differences between sedimentary, metamorphic and igneous rocks.'] = 'We bet you thought that rocks are just rocks, but the truth is there are three different kinds of rocks. Learn the differences between sedimentary, metamorphic and igneous rocks.';
catalog['We can combine switch blocks for more advanced behavior'] = 'We can combine switch blocks for more advanced behavior';
catalog['We can often have fractions whose numerators are not less than the denominators (like 23/4  or 3/2 or even 6/6).  These top-heavy friends are called improper fractions.  Since they represent a whole or more (in absolute terms), they can also be expressed as a combination of a whole number and a "proper fraction" (one where the numerator is less than the denominator) which is called a "mixed number."  They are both awesome ways of representing a number and getting acquainted with both (as this tutorial does) is super useful in life!'] = 'Wir treffen oft auf Br\u00fcche, deren Z\u00e4hler nicht kleiner als ihre Nenner sind (so wie 23/4 oder 3/2 oder auch 6/6). Diese schwerk\u00f6pfigen Freunde hei\u00dfen unechte Br\u00fcche. Da sie ein Ganzes oder mehr darstellen, k\u00f6nnen sie auch geschrieben werden als eine Kombination einer ganzen Zahl und eines echten Bruchs (ein Bruch, in dem der Z\u00e4hler kleiner als der Nenner ist), was man auch \'gemischte Zahl\' nennt. Das sind beides interessante M\u00f6glichkeiten, eine Zahl darzustellen, und beide (in diesem Tutorial) kennenzulernen wird im Leben supern\u00fctzlich sein!';
catalog['We can often have fractions whose numerators are not less than the denominators (like 23/4 or 3/2 or even 6/6). These top-heavy friends are called improper fractions. Since they represent a whole or more (in absolute terms), they can also be expressed as a combination of a whole number and a "proper fraction" (one where the numerator is less than the denominator) which is called a "mixed number." They are both awesome ways of representing a number and getting acquainted with both (as this tutorial does) is super useful in life!\n\nCommon Core Standard: 4.NF.B.3c\t\t'] = 'Wir treffen oft auf Br\u00fcche, deren Z\u00e4hler nicht kleiner als ihre Nenner sind (so wie 23/4 oder 3/2 oder auch 6/6). Diese kopflastigen Freunde hei\u00dfen unechte Br\u00fcche. Da sie f\u00fcr ein Ganzes oder mehr stehen, k\u00f6nnen sie auch geschrieben werden als eine Kombination einer ganzen Zahl und eines echten Bruchs (ein Bruch, in dem der Z\u00e4hler kleiner als der Nenner ist), was man auch \'gemischte Zahl\' nennt. Das sind beides interessante M\u00f6glichkeiten, eine Zahl darzustellen, und beide (in diesem Tutorial) kennenzulernen wird im Leben supern\u00fctzlich sein! \n\nCommon Core Standard: 4.NF.B.3c\t\t';
catalog['We can often lose economic efficiency because of things like price floors, ceilings and taxes.  This loss in surplus (people who have more marginal benefit than marginal cost are not buying or people who have more marginal cost than benefit are buying) is called deadweight loss.'] = 'We can often lose economic efficiency because of things like price floors, ceilings and taxes.  This loss in surplus (people who have more marginal benefit than marginal cost are not buying or people who have more marginal cost than benefit are buying) is called deadweight loss.';
catalog['We don\'t believe in memorizing formulas and neither should you (unless you want to live your life as a shadow of your true potential).  This tutorial builds on what we know about displacement, velocity and acceleration to solve problems in kinematics (including projectile motion problems).  Along the way, we derive (and re-derive) some of the classic formulas that you might see in your physics book.'] = 'We don\'t believe in memorizing formulas and neither should you (unless you want to live your life as a shadow of your true potential).  This tutorial builds on what we know about displacement, velocity and acceleration to solve problems in kinematics (including projectile motion problems).  Along the way, we derive (and re-derive) some of the classic formulas that you might see in your physics book.';
catalog['We don\u2019t call this the \u201cHigh\u201d Renaissance for nothing! This period sees hugely ambitious projects, from Michelangelo\u2019s painting of the Sistine Chapel ceiling and the rebuilding of St. Peter\u2019s in Rome, to Raphael\u2019s frescoes in the papal palace. We use this term to refer to the art of the Italian Renaissance, beginning with Leonardo, whose great masterpiece the Last Supper, actually dates to the last decades of the 15th century (history is never neat!). In the painting and sculpture of this period, ideally beautiful figures who move gracefully, often in complex, multi-figure compositions conveying the sense that human beings are an echo of the perfection of God.'] = 'We don\u2019t call this the \u201cHigh\u201d Renaissance for nothing! This period sees hugely ambitious projects, from Michelangelo\u2019s painting of the Sistine Chapel ceiling and the rebuilding of St. Peter\u2019s in Rome, to Raphael\u2019s frescoes in the papal palace. We use this term to refer to the art of the Italian Renaissance, beginning with Leonardo, whose great masterpiece the Last Supper, actually dates to the last decades of the 15th century (history is never neat!). In the painting and sculpture of this period, ideally beautiful figures who move gracefully, often in complex, multi-figure compositions conveying the sense that human beings are an echo of the perfection of God.';
catalog['We explore creating and moving between various coordinate systems.'] = 'We explore creating and moving between various coordinate systems.';
catalog['We finish the 2-dimensional momentum problem'] = 'We finish the 2-dimensional momentum problem';
catalog['We first explored the coordinate plane in the 5th grade.  But that was only dealing with positive coordinate.  Now, however, we know all about negative numbers so why not have negative coordinates as well!\n\nCommon Core Standards: 6.NS.C.6, 6.NS.C.6b, 6.NS.C.6c, 6.NS.C.8'] = 'Wir haben uns das Koordinatensystem bereits in der f\u00fcnften Klasse vorgenommen.  Aber da ging es nur um positive Koordinate.  Nun wissen wir jedoch bereits alles \u00fcber negative Zahlen,  also warum nicht auch negative Koordinaten!\n\nCommon Core Standards: 6.NS.C.6, 6.NS.C.6b, 6.NS.C.6c, 6.NS.C.8';
catalog['We hate to pick favorites, but there really are certain right triangles that are more special than others.  In this tutorial, we pick them out, show why they\'re special, and prove it!  These include 30-60-90 and 45-45-90 triangles (the numbers refer to the measure of the angles in the triangle).'] = 'Wir m\u00f6gen es eigentlich nicht Lieblinge festzulegen. Aber manche rechtwinklige Dreiecke sind einfach besonderer als andere. In diesem Tutorial werden wir genau diese ausw\u00e4hlen und dir zeigen, warum sie so besonders sind und das auch beweisen! Dies beinhaltet 30-60-90 und 45-45-90 Dreiecke (die Zahlen beziehen sich auf die Winkel im Dreieck).';
catalog['We have tools (like the arithmetic mean) to measure central tendency and are now curious about representing how much the data in a set varies from that central tendency.  In this tutorial we introduce the variance and standard deviation (which is just the square root of the variance) as two commonly used tools for doing this.'] = 'Du kennst bereits Mittel und Wege (wie den arithmetischen Mittelwert) mit denen du die zentrale Tendenz messen kannst. Jetzt soll es darum gehen, wie sehr die Daten in der Menge von dieser zentralen Tendenz abweichen. DIeses Tutorial f\u00fchrt die zwei sehr oft genutzte Ideen ein, um diese Abweichungen auszudr\u00fccken: die Varianz und die Standardabweichung (die nur die Quadratwurzel der Varianz ist).';
catalog['We humans have trouble comprehending something larger than, say, our planet (and even that isn\'t easy to conceptualize) and smaller than, say, a cell (once again, still not easy to think about).  This tutorial explores the scales of the universe well beyond that of normal human comprehension, but does so in a way that makes them at least a little more understandable. \n\nHow does a bacteria compare to an atom?  What about a galaxy to a star?  Turn on your inertial dampeners.  You\'re in store for quite a ride!'] = 'Wir Menschen haben Probleme, etwas zu verstehen, das gr\u00f6\u00dfer ist als unser Planet (und selbst der ist schon schwer vorstellbar) oder das kleiner ist als eine Zelle (und nicht einmal das ist einfach). Dieses Tutorial erforscht die Masst\u00e4be des Universums jenseits unserer Vorstellungskraft, aber auf eine Art und Weise, die uns das Unvorstellbare ein bisschen n\u00e4herbringt. \n\nWie steht eine Bakterie zu einem Atom? Wie eine Galaxie zu einem Stern? Schaltet eure D\u00e4mpfer ein, dass wird jetzt eine wilde Fahrt!';
catalog['We know that 3x2x5 = 30.  So 2, 3, and 5 are factors of 30.  30 is a multiple of each of 3, 2, and 5.  If a number only has itself and 1 as factors, then the number is "prime".  Don\'t worry, this is explained in much more depth in the tutorials in this topic.  We will also explore some mathematical patterns.'] = 'Wir wissen 3x2x5 = 30.  Also sind 2, 3 und 5 Faktoren von 30.  30 ist ein Vielfaches sowohl von 3, 2 also auch 5.  Wenn eine Zahl nur sich selbst und 1 als Faktoren besitzt, ist es eine "Primzahl".  Keine Sorge, dies wird in den Anleitungen in diesem Themenbereich noch viel ausf\u00fchrlicher erkl\u00e4rt. Wer werden auch einige mathematische Muster erforschen.';
catalog['We might generally sense that our cost of living is going up (inflation), but how can we measure it?  This tutorial shows how it is done in the United States with the consumer price index (CPI).'] = 'We might generally sense that our cost of living is going up (inflation), but how can we measure it?  This tutorial shows how it is done in the United States with the consumer price index (CPI).';
catalog['We might share a lot with our primate cousins, but our bigger brains, our ability to walk upright, and other physical \u201cimprovements,\u201d are all adaptations that make humans unique.'] = 'We might share a lot with our primate cousins, but our bigger brains, our ability to walk upright, and other physical \u201cimprovements,\u201d are all adaptations that make humans unique.';
catalog['We must have eaten more pie!'] = 'Wie m\u00fcssen doch mehr Kuchen gegessen haben!';
catalog['We now build on our consumption function models and start to explore ideas of planned expenditures as a function of output.  When plotted with the actual output line, we get our Keynesian Cross which helps us think about whether the economy is operating at its potential.'] = 'We now build on our consumption function models and start to explore ideas of planned expenditures as a function of output.  When plotted with the actual output line, we get our Keynesian Cross which helps us think about whether the economy is operating at its potential.';
catalog['We now explore what happens when you switch the rows and columns of a matrix!'] = 'We now explore what happens when you switch the rows and columns of a matrix!';
catalog['We now have fancy computers to help us perfectly draw things, but have you ever wondered how people drew perfect circles or angle bisectors or perpendicular bisectors back in the day.  Well this tutorial will have you doing just as your grandparents did (actually, a little different since you\'ll still be using a computer to draw circles and lines with a virtual compass and straightedge).'] = 'Wir wissen ja wie ausgefeilte Computer uns dabei helfen perfekte Figuren zu zeichnen. Aber hast du dich jemals gefragt, wie die Leute damals perfekte Kreise, Winkelhalbierende und Mittelsenkrechten gezeichnet haben? Dieses Tutorial l\u00e4sst dich die DInge so machen, wie sie deine Gro\u00dfeltern gemacht haben (eigentlich nicht ganz, da du immernoch einen Computer benutzt um Kreis und Linien mit einem virtuellen Zirkel und Kantenlineal zu zeichnen).';
catalog['We now use one of the coolest techniques in mathematics to transform differential equations into algebraic ones. You\'ll also learn about transforms in general!'] = 'Wir verwenden jetzt eine der coolsten Techniken in der Mathematik, die um Differentialgleichungen algebraische zu modernisieren. Sie erfahren auch mehr \u00fcber Transformationen im Allgemeinen!';
catalog['We often attempt to find the limit at a point where the function itself is not defined.  In this tutorial, we will use algebra to "simplify" functions into ones where it is defined.  Given that the original function and the simplified one may be  identical except for the limit point in question, this is a useful way of finding limits. '] = 'We often attempt to find the limit at a point where the function itself is not defined.  In this tutorial, we will use algebra to "simplify" functions into ones where it is defined.  Given that the original function and the simplified one may be  identical except for the limit point in question, this is a useful way of finding limits. ';
catalog['We ran a hands-on, project-based learning summer program in 2012. Check out the highlights!'] = 'We ran a hands-on, project-based learning summer program in 2012. Check out the highlights!';
catalog['We revisit David Christian&rsquo;s explanation of Big History&#39;s 13.8-billion-year timeline and multidisciplinary approach.'] = 'We revisit David Christian&rsquo;s explanation of Big History&#39;s 13.8-billion-year timeline and multidisciplinary approach.';
catalog['We see that the infinite, uniformly charged plate generates a constant electric field (independent of the height above the plate)'] = 'We see that the infinite, uniformly charged plate generates a constant electric field (independent of the height above the plate)';
catalog['We spend a lot of time in geometry proving that triangles are congruent or similar.  We now apply this ability to some really interesting problems (seriously, these are fun)!'] = 'Wir verbringen viel Zeit in der Geometrie damit zu beweisen, dass Dreiecke kongruent oder \u00e4hnlich sind.  Jetzt wenden wir diese F\u00e4higkeit f\u00fcr einige wirklich interessante Probleme an (im Ernst, die machen Spa\u00df)!';
catalog['We test whether Acos(wt) can describe the motion of the mass on a spring by substituting into the differential equation F=-kx'] = 'We test whether Acos(wt) can describe the motion of the mass on a spring by substituting into the differential equation F=-kx';
catalog['We think we\'re getting a certain return on our investments, but can we put it in terms of real purchasing power since the value of money is constantly changing?  The answer is yes and this tutorial shows you how.'] = 'We think we\'re getting a certain return on our investments, but can we put it in terms of real purchasing power since the value of money is constantly changing?  The answer is yes and this tutorial shows you how.';
catalog['We told you about the derivatives of many functions, but you might want proof that what we told you is actually true.  That\'s what this tutorial tries to do!'] = 'Wir haben dir einiges \u00fcber Ableitungen von vielen Funktionen erz\u00e4hlt, aber du magst vielleicht einen Beweis, dass das was wir gesagt haben, auch tats\u00e4chlich wahr ist. Genau das versucht dieses Tutorial zu tun!';
catalog['We understand the idea of scaling/dilation from everyday life (hey, let\'s make it bigger or smaller keeping the same proportions!).  In this tutorial, you\'ll understand this type of transformation in a much, much deeper way.'] = 'Wir verstehen die Idee der Skalierung/Ausdehnung aus dem Alltag (hey, wir machen es gr\u00f6\u00dfer oder kleiner bei gleichbleibenden Proportionen!).  In diesem Tutorial wirst du lernen, diese Art der Transformation in einer viel, viel tieferen Weise zu verstehen.';
catalog['We upgrade our ping pong ball launcher to make it safer, more accurate and more reliable.'] = 'We upgrade our ping pong ball launcher to make it safer, more accurate and more reliable.';
catalog['We use the inside of a pencil (graphite) to apply different "lengths of pencil" to the circuit. What relationship do you observe between length of graphite and deflection angle?'] = 'We use the inside of a pencil (graphite) to apply different "lengths of pencil" to the circuit. What relationship do you observe between length of graphite and deflection angle?';
catalog['We will begin our journey through linear algebra by defining and conceptualizing what a vector is (rather than starting with matrices and matrix operations like in a more basic algebra course) and defining some basic operations (like addition, subtraction and scalar multiplication).'] = 'Wir werden unsere Reise durch die lineare Algebra mit der Definition eines Vektors beginnen (und nicht mit Matrizen und Operationen auf diesen Matrizen wie ein grundlegender Kurs in Algebra) und einige grundlegende Operationen definieren (wie Addition, Subtraktion und skalare Multiplikation).';
catalog['We will define matrix-vector multiplication and think about the set of vectors that satisfy Ax=0 for a given matrix A (this is the null space of A).  We then proceed to think about the linear combinations of the columns of a matrix (column space).  Both of these ideas help us think the possible solutions to the Matrix-vector equation Ax=b.'] = 'We will define matrix-vector multiplication and think about the set of vectors that satisfy Ax=0 for a given matrix A (this is the null space of A).  We then proceed to think about the linear combinations of the columns of a matrix (column space).  Both of these ideas help us think the possible solutions to the Matrix-vector equation Ax=b.';
catalog['We will know explore the set of vectors that is orthogonal to every vector in a second set (this is the second set\'s orthogonal complement).'] = 'We will know explore the set of vectors that is orthogonal to every vector in a second set (this is the second set\'s orthogonal complement).';
catalog['We will now do another substitution technique (the other was u-substitution) where we substitute variables with trig functions.  This allows us to leverage some trigonometric identities to simplify the expression into one that it is easier to take the anti-derivative of.'] = 'We will now do another substitution technique (the other was u-substitution) where we substitute variables with trig functions.  This allows us to leverage some trigonometric identities to simplify the expression into one that it is easier to take the anti-derivative of.';
catalog['We&#39;ll take you through all the steps necessary to create your own colored shadows.'] = 'We&#39;ll take you through all the steps necessary to create your own colored shadows.';
catalog['We&#39;ll take you through all the steps needed to create your own penny battery.'] = 'We&#39;ll take you through all the steps needed to create your own penny battery.';
catalog['We\'ll cover a few odds and ends here.  In particular, you\'ll see whether order matters when you multiply and divide.  We\'ll also explore some mathematical patterns.'] = 'Wir werden hier ein paar Kleinigkeiten behandelt. Vor allem wirst du sehen, ob die Reihenfolge beim Multiplizieren und Dividieren eine Rolle spielt.  Wir werden auch einige mathematische Muster erforschen.';
catalog['We\'ll cover how to use variables to hold values, animate your drawings, and more.'] = 'Wir werden behandlen wie man Variablen benutzt um Werte festzuhalten, wie man Zeichnungen animiert, und mehr.';
catalog['We\'ll now dig a bit deeper in our understanding of circles by looking at central, inscribed and circumscribed angles.  This is fun and beautiful as is, but you\'ll also see that it shows up on a lot of math standardized tests. Why do people like to put geometry like this on standardized tests?  Because it shows deductive reasoning skills which are super important in every walk of life!'] = 'Wir werden jetzt ein bisschen tiefer in unserem Verst\u00e4ndnis der Kreise graben, indem wir zentrale, eingeschriebe und umschriebene Winkeln betrachten.  Das macht Spa\u00df und ist sch\u00f6n, aber du wirst auch sehen, dass es bei vielen standardisierten Mathematik Tests auftaucht. Warum geben Menschen diese Art von Geometrie in standardisierte Tests?  Weil es schlu\u00dffolgernde Argumentationsf\u00e4higkeiten zeigt, die in allen Lebenslagen super wichtig sind!';
catalog['We\'ll now extend the application of our quadratic-factoring toolkit, by factoring expressions with two variables.  As we\'ll see, this is really just an extension of what you probably already know (or at least will know after working through this tutorial).  Onward!'] = 'Wir werden nun die Anwendung unserer Werkzeuge zum Faktorisieren von quadratischen Gleichungen auf zwei Variablen erweitern. Wie du sehen wirst, ist das einfach nur eine Erweiterung von dem was du vermutlich sowieso schon kennst (oder zumindest kennen wirst, nachdem du dieses Tutorial durchgearbeitet hast). Los geht\'s!';
catalog['We\'ll now see one of the most powerful applications of matrix multiplication--geometric transformations.  This is core of what videos games and computer-based animation uses to "transform" figures based on movement or perspective.  You probably never thought matrices could be so much fun!'] = 'We\'ll now see one of the most powerful applications of matrix multiplication--geometric transformations.  This is core of what videos games and computer-based animation uses to "transform" figures based on movement or perspective.  You probably never thought matrices could be so much fun!';
catalog['We\'ll now see that we can express the sin(a+b)  and the cos(a+b) in terms of sin a, sin b, cos a, and cos b.  This will be handy in a whole set of applications.'] = 'We\'ll now see that we can express the sin(a+b)  and the cos(a+b) in terms of sin a, sin b, cos a, and cos b.  This will be handy in a whole set of applications.';
catalog['We\'ll now see what it means to add, subtract, multiply and divide functions!'] = 'Wir werden jetzt sehen, was es bedeutet, Funktionen zu addieren, subtrahieren, multiplizieren und zu dividieren!';
catalog['We\'ll show you how to color and outline your shapes!'] = 'We\'ll show you how to color and outline your shapes!';
catalog['We\'ll show you the basics of programming and how to draw shapes.'] = 'We\'ll show you the basics of programming and how to draw shapes.';
catalog['We\'ll subscribe you via mailchimp when we\'re in RELEASE mode, %s, we swear!'] = 'We\'ll subscribe you via mailchimp when we\'re in RELEASE mode, %s, we swear!';
catalog['We\'re now ready to get some solid practice dividing fractions by fractions.\n\nCommon Core Standard: 6.NS.A.1'] = 'Wir sind jetzt bereit, um uns Praxis beim Dividieren von Br\u00fcchen durch Br\u00fcche zu holen.\n\nCommon Core Standard: 6.NS.A.1';
catalog['We\'ve all heard of H1N1 or H3N2; now you can understand what all of those names mean and find out why they are helpful in keeping track of the different flu virueses!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.'] = 'We\'ve all heard of H1N1 or H3N2; now you can understand what all of those names mean and find out why they are helpful in keeping track of the different flu virueses!  Rishi is a pediatric infectious disease physician and works at Khan Academy.\n\nThese videos do not provide medical advice and are for informational purposes only. The videos are not intended to be a substitute for professional medical advice, diagnosis or treatment. Always seek the advice of a qualified health provider with any questions you may have regarding a medical condition. Never disregard professional medical advice or delay in seeking it because of something you have read or seen in any Khan Academy video.';
catalog['We\'ve all slid down slides/snow-or-mud-covered-hills/railings at some point in our life (if not, you haven\'t really lived) and noticed that the smoother the surface the more we would accelerate (try to slide down a non-snow-or-mud-covered hill).  This tutorial looks into this in some depth.  We\'ll look at masses on inclined planes and think about static and kinetic friction.'] = 'We\'ve all slid down slides/snow-or-mud-covered-hills/railings at some point in our life (if not, you haven\'t really lived) and noticed that the smoother the surface the more we would accelerate (try to slide down a non-snow-or-mud-covered hill).  This tutorial looks into this in some depth.  We\'ll look at masses on inclined planes and think about static and kinetic friction.';
catalog['We\'ve already had some good practice adding fractions with like denominators.  We\'ll now add fractions with unlike denominators. This is a very big deal.  After this tutorial, you\'ll be able to add, pretty much, any two (or three or four or... ) fractions!'] = 'Wir hatten bereits einige gute Praxis darin, Br\u00fcche mit gleichen Nennern zu addieren.  Wir machen wir das gleiche mit Br\u00fcchen mit ungleichen Nennern. Dies ist eine sehr gro\u00dfe Sache.  Nach diesem Tutorial wirst du so ziemlich alle zwei (oder drei oder vier oder...) Br\u00fcche addieren k\u00f6nnen!';
catalog['We\'ve already had some good practice adding fractions with like denominators.  We\'ll now begin to explore adding fractions with unlike denominators.  In particular, we\'ll think about adding fractions with denominators of 10 and 100.  Later on, in 5th, grade we\'ll extend this to adding fractions of any denominator to fractions of any denominator.'] = 'Wir hatten bereits einige gute Praxis darin, Br\u00fcche mit gleichen Nennern zu addieren.  Wir werden jetzt damit beginnen,  das Addieren von Br\u00fcchen mit ungleichen Nennern zu erkunden.  Insbesondere werden wir uns mit dem Addieren von Br\u00fcchen mit den Nennern 10 und 100 besch\u00e4ftigen.  Sp\u00e4ter, in der 5. Klasse, werden wir das erweitern und Br\u00fcche mit beliebigen Nennern addieren.';
catalog['We\'ve always been communicating.... as we moved from signal fires, to alphabets & electricity the problems remained the same.'] = 'Wir haben schon immer miteinander kommuniziert... egal ob wir es mit Signalfeuern, dem Alphabet oder Elektrizit\u00e4t machen, viele Probleme bleiben gleich.';
catalog['We\'ve been exploring place value for several years now, but now we make sure that we **really** get how one place relates to another.  We then use this deep understanding for understanding the conventions for rounding.'] = 'Wir erforschen den Stellenwert nun schon seit mehreren Jahren, aber jetzt stellen wir einmal sicher, dass wir ** wirklich ** verstehen, wie eine Stelle in Verbindung steht zu einer anderen.  Anschlie\u00dfend verwenden wir dieses tiefe Verst\u00e4ndnis f\u00fcr das Verst\u00e4ndnis der Richtlinien f\u00fcr die Rundung.';
catalog['We\'ve e-mailed you instructions for setting your password to the e-mail address you submitted. You should be receiving it shortly.'] = 'We\'ve e-mailed you instructions for setting your password to the e-mail address you submitted. You should be receiving it shortly.';
catalog['We\'ve learned about polygons and have explored all four quadrants of the coordinate plane.\nNow, let\'s combine those skills to draw, measure, and solve problems with polygons in the coordinate plane.\n\nCommon Core Standards: CC.6.G.A.3'] = 'Wir haben \u00fcber Polygone etwas gelernt und haben alle vier Quadranten des Koordinatensystems erforscht. \nJetzt kombinieren wir diese F\u00e4higkeiten um in Koordinatensystemen zu zeichnen, zu messen und Probleme mit Polygone zu l\u00f6sen.\n\nCommon Core Standards: CC.6.G.A.3';
catalog['We\'ve talked a lot about distances to stars, but how do we know?  Stellar parallax--which looks at how much a star shifts  in the sky when Earth is at various points in its orbit--is the oldest technique we have for measuring how far stars are.\n\nIt is great for "nearby" stars even with precise instruments (i.e, in our part of our galaxy).  To measure distance further, we have to start thinking about Cepheid variables (other tutorial).'] = 'Wir haben viel gesprochen \u00fcber die Entfernung zwischen den Sternen, aber woher kennen wir sie? Die stellare Parallaxe, die sich damit besch\u00e4ftigt, um wie viel sich ein Stern am Himmel der Erde bewegt an verschiedenen Punkten ihrer Umlaufbahn um die Sonne, ist die \u00e4lteste Bestimmungsmethode f\u00fcr Entfernungen.\n\n  Sie funktioniert wunderbar f\u00fcr \'nahe\' Sterne, also in unserem Teil der Milchstra\u00dfe. F\u00fcr gr\u00f6\u00dfere Entfernungen haben wir die Cepheiden; das ist dann ein anderes Tutorial.';
catalog['We\'ve talked a lot about inverse transformations abstractly in the last tutorial.  Now, we\'re ready to actually compute inverses.  We start from "documenting" the row operations to get a matrix into reduced row echelon form and use this to come up with the formula for the inverse of a 2x2 matrix.  After this we define a determinant for 2x2, 3x3 and nxn matrices.'] = 'We\'ve talked a lot about inverse transformations abstractly in the last tutorial.  Now, we\'re ready to actually compute inverses.  We start from "documenting" the row operations to get a matrix into reduced row echelon form and use this to come up with the formula for the inverse of a 2x2 matrix.  After this we define a determinant for 2x2, 3x3 and nxn matrices.';
catalog['We\u2019re obsessed with understanding the roots of who we are as a species. Anthropologists, archaeologists, and primatologists are the most obsessed, as they work to paint a picture of early human life.'] = 'We\u2019re obsessed with understanding the roots of who we are as a species. Anthropologists, archaeologists, and primatologists are the most obsessed, as they work to paint a picture of early human life.';
catalog['Weak acid titration'] = 'Weak acid titration';
catalog['Weaknesses of Fractional Reserve Lending'] = 'Weaknesses of Fractional Reserve Lending';
catalog['Weaknesses of fractional reserve lending'] = 'Weaknesses of fractional reserve lending';
catalog['Wealth destruction 1'] = 'Wealth destruction 1';
catalog['Wealth destruction 2'] = 'Wealth destruction 2';
catalog['Wealthy Romans and Chinese silkworms: Craig Benjamin discusses connections that reshape the world.<br>'] = 'Wealthy Romans and Chinese silkworms: Craig Benjamin discusses connections that reshape the world.<br>';
catalog['Weber\'s law and thresholds'] = 'Weber\'s law and thresholds';
catalog['Weighing machines of all sorts employ springs that take a certain amount of force to keep compressed or stretched to a certain point.  Hooke\'s law will give us all the tools to weigh in on the subject ourselves and spring into action (yes, the puns are annoying us too)!'] = 'Weighing machines of all sorts employ springs that take a certain amount of force to keep compressed or stretched to a certain point.  Hooke\'s law will give us all the tools to weigh in on the subject ourselves and spring into action (yes, the puns are annoying us too)!';
catalog['Welcome '] = 'Welcome ';
catalog['Welcome to "Meet the Professional"!'] = 'Welcome to "Meet the Professional"!';
catalog['Welcome to KA Lite!'] = 'Welcome to KA Lite!';
catalog['Welcome to our Hour of Code\u2122!'] = 'Welcome to our Hour of Code\u2122!';
catalog['Welcome to the lymphatic system! Find out why we need it, and how it interacts with our blood vessels. By Patrick van Nieuwenhuizen.'] = 'Welcome to the lymphatic system! Find out why we need it, and how it interacts with our blood vessels. By Patrick van Nieuwenhuizen.';
catalog['Welcome to the world of biodiversity!'] = 'Welcome to the world of biodiversity!';
catalog['Welcome'] = 'Welcome';
catalog['Welcome.  I\'d like to introduce you to Mr. Angle.  Nice to meet you.  So nice to meet you.  \n\nThis tutorial introduces us to angles.  It includes how we measure them, how angles relate to each other and properties of angles created from various types of intersecting lines.  Mr. Angle is actually far more fun than you might initially presume him to be.'] = 'Willkommen. Ich m\u00f6chte dir gerne Herrn Winkel vorstellen. Sch\u00f6n dich kennenzulernen. Ebenso sch\u00f6n dich kennenzulernen. \n\nDieses Tutorial stellt dir Winkel vor. Es beinhaltet, wie man sie misst, wie Winkel sich zueinander verhalten und die Eigenschaften von Winkeln, die durch die verschiedensten Formen sich schneidender Geraden geformt werden. Herr Winkel ist viel spa\u00dfiger, als du ihm anfangs vielleicht zugesprochen h\u00e4ttest.';
catalog['Well, rational expressions are just algebraic expressions formed by dividing one expression by another. In this tutorial, we\'ll see that, even though they may look hairy, adding and subtracting rational expressions involves most of what we know about adding and subtracting numeric fractions.'] = 'Nun, rationale Ausdr\u00fccke sind nur algebraische Ausdr\u00fccke gebildet durch Teilung eines Ausdrucks durch einen anderen. In diesem gar nicht so schweren Tutorial werden wir sehen, dass Addieren und Subtrahieren von  rationalen Ausdr\u00fccke das meiste von dem beinhaltet, was wir schon \u00fcber das Addieren und Subtrahieren von numerischen Br\u00fcchen wissen.';
catalog['Were the Middle Ages really all that dark? Hardly! How could we call the period that saw the building of Chartres Cathedral with its stunning stained-glass windows, dark? Sure, the Roman empire collapsed, but with the Christianization of Europe came magnificent churches, illuminated bibles, and intricately designed broaches. This period also saw the birth of Islam, the third great monotheistic religion.'] = 'War das Mittelalter wirklich nur dunkel? Wohl kaum! Wie k\u00f6nnten wir ein Zeitalter, in dem die Kathedrale von Chartres erbaut wurde, mit all ihren beeindruckenden Glasfenstern, dunkel nennen? Sicher, das r\u00f6mische Reich war zusammengebrochen, aber im Zuge der Christianisierung von Europa entstanden pr\u00e4chtige Kirchen, gl\u00e4nzend illustrierte Bibelausgaben und fein gestaltete Schmuckst\u00fccke. Diese Periode erlebte auch die Geburt des Isalm, der dritten gro\u00dfen monotheistischen Religion.';
catalog['Western and Eastern fronts of World War I'] = 'West- und Ostfront im 1. Weltkrieg';
catalog['What Emerged from the Big Bang?'] = 'What Emerged from the Big Bang?';
catalog['What Greece could have done if it had its own currency'] = 'What Greece could have done if it had its own currency';
catalog['What I can buy with my income'] = 'What I can buy with my income';
catalog['What Is Big History?'] = 'What Is Big History?';
catalog['What Paulson wants to do and why I don\'t like it.'] = 'What Paulson wants to do and why I don\'t like it.';
catalog['What SOPA and PIPA are at face value and what they could end up enabling'] = 'What SOPA and PIPA are at face value and what they could end up enabling';
catalog['What a demand curve with constant unit elasticity would look like'] = 'What a demand curve with constant unit elasticity would look like';
catalog['What a differential equation is and some terminology.'] = 'Was eine Differentialgleichung ist und einige Begriffe.';
catalog['What a fluid is.  Difference between liquids and gasses (both fluids).'] = 'What a fluid is.  Difference between liquids and gasses (both fluids).';
catalog['What a medial triangle is and its properties'] = 'What a medial triangle is and its properties';
catalog['What a mouthful!  Say that 10x fast.. and then do it in half the time.  Wow, you\'re already a rate and ratio expert.  '] = 'What a mouthful!  Say that 10x fast.. and then do it in half the time.  Wow, you\'re already a rate and ratio expert.  ';
catalog['What a radian is.  Converting radians to degrees and vice versa.'] = 'Was ist Bogenma\u00df. Konvertieren von Bogenma\u00df in Grad und umgekehrt.';
catalog['What a ratio is.  Simple ratio problems.'] = 'Was ein Verh\u00e4ltnis ist. Einfache Verh\u00e4ltnis-\u00dcbungen.';
catalog['What a species is and isn\'t.  Ligers, tiglons, mule, hinnies, and dogs'] = 'Welche der folgende sind Arten und welche nicht? Liger, Tiglons, Maultiere, Maulesel und Hunde';
catalog['What a trader means when they say that a market is in contango'] = 'What a trader means when they say that a market is in contango';
catalog['What an angle is.  Angles in a circle.  Complementary and supplementary angles.'] = 'What an angle is.  Angles in a circle.  Complementary and supplementary angles.';
catalog['What an ion is.  Using the periodic table to understand how difficult it is to ionize an atom.'] = 'Was ist ein Ion?  Mit Hilfe des Periodensystems verstehen wie schwierig es ist, ein Atom zu ionisieren.';
catalog['What are conic sections and why are they called "conic sections"?'] = 'Was sind Kegelschnitte und warum nennt man sie "Kegelschnitte"?';
catalog['What are electron carrier molecules? What role do they play in metabolism? Learn how electron carrier molecules capture the flow of electrons from the breakdown of a fuel (e.g. glucose) to produce ATP.<br>'] = 'What are electron carrier molecules? What role do they play in metabolism? Learn how electron carrier molecules capture the flow of electrons from the breakdown of a fuel (e.g. glucose) to produce ATP.<br>';
catalog['What are often thought of as \u201cIndian\u201d art and culture spread not only throughout the modern nation of India but also through Pakistan and Bangladesh. '] = 'What are often thought of as \u201cIndian\u201d art and culture spread not only throughout the modern nation of India but also through Pakistan and Bangladesh. ';
catalog['What are the conditions on the surface of Mars? Does it have life? Does it have water? Was the ancient environment habitable on Mars? This tutorial covers 20th century discoveries.'] = 'What are the conditions on the surface of Mars? Does it have life? Does it have water? Was the ancient environment habitable on Mars? This tutorial covers 20th century discoveries.';
catalog['What are the major forms of regulation in metabolism? How do these apply to glycolysis and gluconeogenesis?'] = 'What are the major forms of regulation in metabolism? How do these apply to glycolysis and gluconeogenesis?';
catalog['What are the reactions that are unique to gluconeogenesis (vs. glycolysis)?<br data-cke-eol="1">Where does gluconeogenesis fit into carbohydrate metabolism? What is the big picture?'] = 'What are the reactions that are unique to gluconeogenesis (vs. glycolysis)?<br data-cke-eol="1">Where does gluconeogenesis fit into carbohydrate metabolism? What is the big picture?';
catalog['What can we learn from volcanic ash in Laetoli? Sanjayan discusses human interaction with the biosphere and how we are reconnecting with nature.<br>'] = 'What can we learn from volcanic ash in Laetoli? Sanjayan discusses human interaction with the biosphere and how we are reconnecting with nature.<br>';
catalog['What can you do with computer science and programming skills once you\'ve learned them? We\'ve invited people from all around the world and the industry to introduce themselves to you. Find out how diverse our field can be!'] = 'What can you do with computer science and programming skills once you\'ve learned them? We\'ve invited people from all around the world and the industry to introduce themselves to you. Find out how diverse our field can be!';
catalog['What causes precession and other orbital changes'] = 'Was verursacht die Kreiselbewegung und andere Orbitalver\u00e4nderungen';
catalog['What causes the seasons?  Even more, can Earth\'s climate change over long period just to "wobbles" in its orbit?  This tutorial explains it all.  You\'ll know more about orbits (and precession and Milankovitch cycles) than you ever thought possible.  Have fun!'] = 'Woher kommen die Jahreszeiten? Kann das Klima der Erde sich \u00e4ndern blo\u00df wegen einiger Ungleichm\u00e4\u00dfigkeiten in ihrer Umlaufbahn? Dieses Tutorial erklart das alles. Du wirst danach mehr \u00fcber Umlaufbahnen (und Pr\u00e4zession und Milankovitch-Zyklen) wissen, als du jemals f\u00fcr m\u00f6glich hieltest. Viel Vergn\u00fcgen!';
catalog['What color is white light?  Want to know how to make it?'] = 'What color is white light?  Want to know how to make it?';
catalog['What country/countries are you hoping to deploy in?'] = 'What country/countries are you hoping to deploy in?';
catalog['What cryptographic hash functions are and what properties are desired of them.'] = 'What cryptographic hash functions are and what properties are desired of them.';
catalog['What did stars give us?'] = 'What did stars give us?';
catalog['What did the curiosity rover find? Follow the mission timeline & findings here.'] = 'What did the curiosity rover find? Follow the mission timeline & findings here.';
catalog['What do you get when you take the sun and divide its circumference by its diameter?\u2026Pi in the sky! How to play with circles using pi!'] = 'What do you get when you take the sun and divide its circumference by its diameter?\u2026Pi in the sky! How to play with circles using pi!';
catalog['What does 13.7 billion years of history tell you about yourself? How does knowing so much about the past change the way you think about the future? These may be the most important questions big history asks. How would you answer them? Big History is an unfinished story.'] = 'What does 13.7 billion years of history tell you about yourself? How does knowing so much about the past change the way you think about the future? These may be the most important questions big history asks. How would you answer them? Big History is an unfinished story.';
catalog['What does it mean for the universe to expand?  Was the "big bang" an explosion of some sort or a rapid expansion of space-time (it was the latter)?  If the universe was/is expanding, what is "outside" it?  How do we know how far/old things are?\n\nThis tutorial addresses some of the oldest questions known to man.'] = 'Was bedeutet die fortw\u00e4hrende Ausdehnung f\u00fcr das Weltall? War der Urknall eine Art Explosion, oder eine Ausdehnung der Raumzeit (es war das Letztere)? Wenn sich das Weltall ausdehnt, was ist dann \'drau\u00dfen\'? Woher wissen wir wie weit weg oder wie alt die Dinge sind?\n\n Dieses Tutorial behandelt einige der \u00e4ltesten Fragen der Menschheit.';
catalog['What does it mean to short a stock?'] = 'Was bedeutet es eine Aktie zu shorten?';
catalog['What drives oil prices'] = 'What drives oil prices';
catalog['What eigenvectors and eigenvalues are and why they are interesting'] = 'Was Eigenvektoren und Eigenwerte sind und warum sie interessant sind';
catalog['What expressions express'] = 'Was Ausdr\u00fccke ausdr\u00fccken';
catalog['What fraction of spider eyes are looking at me?'] = 'Welcher Bruchteil der Spinnenaugen schaut mich an?';
catalog['What fractions mean'] = 'Was Br\u00fcche bedeuten';
catalog['What happens to equity when the value of the assets increase or decrease'] = 'Was mit dem Eigenkapital passiert wenn die Verm\u00f6genswerte steigen oder sinken';
catalog['What happens to the cash payout in a whole life policy when someone dies?'] = 'What happens to the cash payout in a whole life policy when someone dies?';
catalog['What happens to the deflection when we add salt to an electrolyte? Why?'] = 'What happens to the deflection when we add salt to an electrolyte? Why?';
catalog['What happens to the deflection when we attach the penny and zinc in the opposite direction?'] = 'What happens to the deflection when we attach the penny and zinc in the opposite direction?';
catalog['What happens to the determinant when we perform a row operation'] = 'What happens to the determinant when we perform a row operation';
catalog['What happens to the magnetic field of a magnet in the presence of a another material which is attracted to it. Why does this happen?'] = 'What happens to the magnetic field of a magnet in the presence of a another material which is attracted to it. Why does this happen?';
catalog['What happens when 100 perfect logicians have to figure out if they each have a blue forehead?'] = 'Was passiert, wenn 100 perfekte Logiker  herausfinden m\u00fcssen, ob sie jeweils eine blaue Stirn haben?';
catalog['What happens when a good is not finished in a period'] = 'What happens when a good is not finished in a period';
catalog['What happens when the characteristic equation has complex roots?'] = 'Was passiert, wenn die charakteristischen Gleichung komplexe Wurzeln hat?';
catalog['What happens when the characteristic equation only has 1 repeated root?'] = 'What happens when the characteristic equation only has 1 repeated root?';
catalog['What happens when the characteristic equations has complex roots?!'] = 'Was passiert, wenn die charakteristischen Gleichung komplexe Wurzeln hat?!';
catalog['What happens when the museum becomes a studio and the visitor becomes a collaborator? Learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course6" href="http://www.moma.org/learn/courses/online#course6">Modern and Contemporary Art, 1945-1989</a>.'] = 'What happens when the museum becomes a studio and the visitor becomes a collaborator? Learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course6" href="http://www.moma.org/learn/courses/online#course6">Modern and Contemporary Art, 1945-1989</a>.';
catalog['What happens when the ratio between successive terms in a sequence is the same (or it has a "common ratio")?  Well, then we\'d be dealing with a geometric sequence (which comes up extremely frequently in mathematics).'] = 'Was passiert, wenn das Verh\u00e4ltnis zwischen aufeinander folgenden Termen in einer Folge das gleiche ist (oder es gibt ein "gemeinsames Verh\u00e4ltnis")?  Nun, dann handelt es sich um eine geometrische Folge  (die kommen sehr h\u00e4ufig in der Mathematik vor).';
catalog['What happens when there is no equity infusion and the bank goes in to bankruptcy.'] = 'What happens when there is no equity infusion and the bank goes in to bankruptcy.';
catalog['What happens when we change the discount rate?'] = 'What happens when we change the discount rate?';
catalog['What happens when we have many variables but also many constraints.'] = 'Was passiert, wenn wir viele Variablen, aber auch viele Einschr\u00e4nkungen haben.';
catalog['What happens when you mix red, green, and blue light? The results are not always what you might expect. Colored light bulbs can produce some surprising and fun effects.'] = 'What happens when you mix red, green, and blue light? The results are not always what you might expect. Colored light bulbs can produce some surprising and fun effects.';
catalog['What happens when you stay put (the Neolithic revolution & early River Valley civilizations)'] = 'Was passiert, wenn man an Ort und Stelle bleibt (die neolithische Revolution & fr\u00fche Zivilisation in River Valley)';
catalog['What happens when you stay put'] = 'Was passiert, wenn man an Ort und Stelle bleibt';
catalog['What interest is.  Simple versus compound interest.'] = 'Was der Zins ist. Einfacher Zins vs. Zinseszins.';
catalog['What is 2/3 of 2/3? If 4/7 of the class are boys, how many boys are there? Multiplying fractions is not only super-useful, but super-fun as well.\n\nCommon Core Standards: 5.NF.B.4, 5.NF.B.4a, 5.NF.B.4b, 5.NF.B.5, 5.NF.B.5a, 5.NF.B.5b\t'] = 'Was ist 2/3 von 2/3? Wenn 4/7 der Klasse Jungs sind, wie viele Jungs gibt es dann? Br\u00fcche zu multiplizieren ist nicht nur sehr n\u00fctzlich, es macht auch gro\u00dfen Spa\u00df.\n\nCommon Core Standards: 5.NF.B.4, 5.NF.B.4a, 5.NF.B.4b, 5.NF.B.5, 5.NF.B.5a, 5.NF.B.5b\t';
catalog['What is 2/3 of 2/3? If 4/7 of the class are boys, how many boys are there? Multiplying fractions is not only super-useful, but super-fun as well.\n\nDid you also know that fractions can represent division (and the other way around).  We can create fractions by dividing whole numbers and then even divide the fractions themselves.  We\'ll see that dividing by something is the exact same thing as multiplying by that thing\'s reciprocal!\n\nCommon Core Standards: 7.NS.A.2a, 7.NS.A.2b'] = 'Wie viel sind 2/3 von 2/3? Wenn 4/7 der Klasse Jungs sind, wie viele Jungen sind das? Br\u00fcche multiplizieren ist nicht nur super praktisch, sondern macht auch super viel Spa\u00df. \n\n Wusstest du, dass man Br\u00fcche auch als Division darstellen kann (und anders rum nat\u00fcrlich auch)? Wir k\u00f6nnen Br\u00fcche durch ganze Zahlen, die dividiert werden, darstellen und wir k\u00f6nnen sogar Br\u00fcche selbst dividieren. Wir werden sehen, dass die Division durch etwas ist genau das gleiche ist, als wenn wir etwas mit dem Kehrwert multiplizieren. \n\n Basisnormen: 7.NS.A.2a, 7.NS.A.2B';
catalog['What is 2/3 of 2/3? If 4/7 of the class are boys, how many boys are there?\n\nMultiplying fractions is not only super-useful, but super-fun as well.'] = 'Wie viel ist 2/3 von 2/3? Wenn 4/7 der Klasse Jungs sind, wie viele Jungs gibt es dann? \n\nBr\u00fcche multiplizieren zu k\u00f6nnen ist nicht nur super n\u00fctzlich, sondern macht auch super viel Spa\u00df.';
catalog['What is Big History? How does it differ from other courses and what are of the major themes it emphasizes?'] = 'What is Big History? How does it differ from other courses and what are of the major themes it emphasizes?';
catalog['What is Cryptography? A story which takes us from Caesar to Claude Shannon.'] = 'What is Cryptography? A story which takes us from Caesar to Claude Shannon.';
catalog['What is Programming?'] = 'Was ist Programmieren?';
catalog['What is Soap?'] = 'What is Soap?';
catalog['What is TB?'] = 'What is TB?';
catalog['What is a "negative number"?  In this tutorial, you\'ll learn about what happens in the world below zero!\n\nCommon Core Standards: 6.NS.C.6, 6.NS.C.6a, 6.NS.C.6c\t'] = 'Was ist eine "negative Zahl"?  In diesem Tutorial erf\u00e4hrst du, was in der Welt unterhalb von Null passiert! \n\nCommon Core Standards: 6.NS.C.6, 6.NS.C.6a, 6.NS.C.6c\t';
catalog['What is a "negative number"?  What happens when I add or subtract one of these?\n\nIf you come to this tutorial armed with the basics of adding and subtracting numbers, you\'ll learn about what happens in the world below zero!  You will learn what negative numbers are and how we can add and subtract them.\n\n'] = 'Was ist eine "negative Zahl"?  Was passiert, wenn ich so eine Zahl addiere oder subtrahiere?\n\nWenn du ausger\u00fcstet mit Grundkenntnissen des Addierens und Subtrahierens von Zahlen in dieses Tutotial kommst, dann lernst du, was in der Welt unter Null passiert. Du lernst, was negative Yahlen sind und wie man sie addiert und subtrahiert.\n\n';
catalog['What is a biodiversity hotspot?'] = 'What is a biodiversity hotspot?';
catalog['What is a computer? How should we define the time needed to execute an algorithm?'] = 'Was ist ein Computer? Wie sollten wir die Zeit definieren, die f\u00fcr einen Algorithmus ben\u00f6tigt wird?';
catalog['What is a conic other than a jazz singer from New Orleans?  Well, as you\'ll see in this tutorial, a conic section is formed when you intersect a plane with cones.  You end up with some familiar shapes (like circles and ellipses) and some that are a bit unexpected (like hyperbolas).  This tutorial gets you set up with the basics and is a good foundation for going deeper into the world of conic sections.'] = 'Was unterscheidet einen Kegelschnitt von einer Jazz-S\u00e4ngerin aus New Orleans?  Nun, wie du in diesem Tutorial sehen wirst, entsteht ein Kegelschnitt, wenn du eine Ebene mit einem Kegel schneidest.  Am Ende kommen einige vertrauten Formen (wie Kreise und Ellipsen) heraus und einiges Unerwartetes (wie Hyperbeln).  Dieses Tutorial vertraut dich mit den Grundlagen und ist eine gute Grundlage f\u00fcr ein tieferes Verst\u00e4ndnis der Welt der Kegelschnitte.';
catalog['What is a differential equation'] = 'Was ist eine Differentialgleichung';
catalog['What is a function?'] = 'Was ist eine Funktion?';
catalog['What is a variable?'] = 'Was ist eine Variable?';
catalog['What is actually in lymph'] = 'What is actually in lymph';
catalog['What is afterload?'] = 'What is afterload?';
catalog['What is an angle and how do we label, measure and construct them?\n\nCommon Core Standards: 4.MD.C.5, 4.MD.C.5a, 4.MD.C.5b, 4.MD.C.6, 4.MD.C.7, 4.G.A.1\t'] = 'Was ist ein Winkel und wie benennen, messen und konstruieren wir ihn?\n\nCommon Core Standards: 4.MD.C.5, 4.MD.C.5a, 4.MD.C.5b, 4.MD.C.6, 4.MD.C.7, 4.G.A.1\t';
catalog['What is an equivalent?'] = 'What is an equivalent?';
catalog['What is bitcoin?'] = 'Was ist Bitcoin?';
catalog['What is blood pressure?'] = 'Was ist Blutdruck?';
catalog['What is contractility?'] = 'What is contractility?';
catalog['What is cryptography?'] = 'What is cryptography?';
catalog['What is hypertension?'] = 'Was ist Bluthochdruck?';
catalog['What is inflation'] = 'What is inflation';
catalog['What is information theory?'] = 'Was ist Informationstheorie?';
catalog['What is inside a DVD player? (1 of 5)'] = 'Was steckt in einem DVD-Player? (1 von 5)';
catalog['What is inside a DVD player? (2 of 5)'] = 'Was steckt in einem DVD-Player? (2 von 5)';
catalog['What is inside a DVD player? (3 of 5)'] = 'Was steckt in einem DVD-Player? (3 von 5)';
catalog['What is inside a DVD player? (4 of 5)'] = 'Was steckt in einem DVD-Player? (4 von 5)';
catalog['What is inside a DVD player? (5 of 5)'] = 'Was steckt in einem DVD-Player? (5 von 5)';
catalog['What is inside a coffee maker?'] = 'Was steckt in einer Kaffeemaschine?';
catalog['What is inside a digital camera? (1 of 2)'] = 'Was steckt in einer Digitalkamera? (1 von 2)';
catalog['What is inside a digital camera? (2 of 2)'] = 'Was steckt in einer Digitalkamera? (2 von 2)';
catalog['What is inside a hair dryer? (1 of 2)'] = 'Was steckt in einem F\u00f6n? (1 von 2)';
catalog['What is inside a hair dryer? (2 of 2)'] = 'Was steckt in einem F\u00f6n? (2 von 2)';
catalog['What is inside a tap light?'] = 'What is inside a tap light?';
catalog['What is inside a universal remote control?'] = 'What is inside a universal remote control?';
catalog['What is inside an alarm clock radio?'] = 'Was steckt in einem Radiowecker?';
catalog['What is life?'] = 'What is life?';
catalog['What is normal? Exploring folkways, mores, and taboos'] = 'What is normal? Exploring folkways, mores, and taboos';
catalog['What is preload?'] = 'What is preload?';
catalog['What is the Earth made up of and how do we know?  What causes the seasons?  Are there longer-ranging cycles in Earth\'s climate?'] = 'Woraus die Erde besteht, und woher wir das wissen? Was verursacht die Jahreszeiten? Gibt es l\u00e4ngerfristige Zyklen im Klima der Erde?';
catalog['What is the Futures Fair Value and how to traders use it as an indicator for stock price direction at market opening'] = 'What is the Futures Fair Value and how to traders use it as an indicator for stock price direction at market opening';
catalog['What is the acceleration due to gravity at the space station'] = 'What is the acceleration due to gravity at the space station';
catalog['What is the difference between a coin flip and a blind guess?'] = 'Was ist der Unterschied zwischen einem M\u00fcnzwurf und blindem Raten?';
catalog['What is the flu?'] = 'Was ist die Grippe?';
catalog['What is the limit of compression?'] = 'What is the limit of compression?';
catalog['What is the limit of computer memory?'] = 'Was ist die Grenze eines Computerspeichers?';
catalog['What is the most important concept to understand in undergraduate organic chemistry?  Of course, it\'s electronegativity!  In this tutorial, Jay explains the concept of electronegativity and shows how it applies to polarity, intermolecular forces, and physical properties.'] = 'Was ist das wichtigste Konzept, das man in der einfachen organischen Chemie verstehen sollte? Nat\u00fcrlich die Elektronegativit\u00e4t! In diesem Tutorial erkl\u00e4rt Jay das Konzept der Elektronegativit\u00e4t und zeigt, wie es sich auf die Polarit\u00e4t, intermolekulare Kr\u00e4fte und phsyikalische Eigenschaften anwenden l\u00e4sst.';
catalog['What is the probability of getting a diamond or an ace from a deck of cards?  Well I could get a diamond that is not an ace, an ace that is not a diamond, or the ace of diamonds.  This tutorial helps us think these types of situations through a bit better (especially with the help of our good friend, the Venn diagram).'] = 'Wie gro\u00df ist die Wahrscheinlichkeit ein Karo oder ein Ass aus einem Kartenstapel zu ziehen? Naja, du k\u00f6nntest ein Karo ziehen, dass kein Ass ist, ein Ass, dass kein Karo ist oder das Karo Ass. Dieses Turorial hilft dir dabei solche Situationen zu durchdenken (insbesondere mit unserem gutem Freund, dem Venn-Diagramm)';
catalog['What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial).\n\nIn this tutorial, we\'ll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events).'] = 'What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial).\n\nIn this tutorial, we\'ll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events).';
catalog['What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial).\n\nIn this tutorial, we\'ll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events).\n\nCommon Core Standards: 7.SP.C.8, 7.SP.C.8a, 7.SP.C.8b'] = 'Wie gro\u00df ist die Wahrscheinlichkeit f\u00fcr drei Freiw\u00fcrfe in Folge (LeBron fragt dies tats\u00e4chlich in diesem Tutorial).\n\nIn diesem Tutorial erkunden wir zusammenh\u00e4ngende Ereignisse, wenn die Wahrscheinlichkeit eines Ereignisses nicht vom Ergebnis eines anderen abh\u00e4ngig ist (zusammenh\u00e4ngende, unabh\u00e4ngige Ereignisse).\n\nCommon Core Standards: 7.SP.C. 8, 7.SP.C.8a, 7.SP.C.8b';
catalog['What is the probability of winning a 4-number lottery?'] = 'What is the probability of winning a 4-number lottery?';
catalog['What is the purpose of metabolism? Learn about the two major divisions in metabolism: anabolism (building up) and catabolism (breaking down).&nbsp; By Jasmine Rana.'] = 'What is the purpose of metabolism? Learn about the two major divisions in metabolism: anabolism (building up) and catabolism (breaking down).&nbsp; By Jasmine Rana.';
catalog['What is up with noises? (The science and mathematics of sound, frequency, and pitch)'] = 'What is up with noises? (The science and mathematics of sound, frequency, and pitch)';
catalog['What it means for triangles to be congruent'] = 'Was Kongruenz bei Dreiecken bedeutet';
catalog['What it means to buy a bond'] = 'Was es bedeutet eine Anleihe zu kaufen';
catalog['What it means to buy a company\'s stock'] = 'Was es bedeutet die Aktie eines Unternehmens zu kaufen';
catalog['What it means when the market value of a stock is different from its book value.'] = 'What it means when the market value of a stock is different from its book value.';
catalog['What leverage is.  Why it is is good or bad.  Leverage and insolvency.'] = 'What leverage is.  Why it is is good or bad.  Leverage and insolvency.';
catalog['What makes humans different?'] = 'What makes humans different?';
catalog['What makes life so special? Is there life elsewhere in the Universe? And how exactly did life emerge and diversify? In many ways these remain mysteries, but we do have enough evidence to explore some possible answers.'] = 'What makes life so special? Is there life elsewhere in the Universe? And how exactly did life emerge and diversify? In many ways these remain mysteries, but we do have enough evidence to explore some possible answers.';
catalog['What makes living (and nonliving) things tick?'] = 'What makes living (and nonliving) things tick?';
catalog['What makes the endocrine organs tick? Find out in this video about the hypothalamus and pituitary glands! &nbsp;By Ryan Patton.<br>'] = 'What makes the endocrine organs tick? Find out in this video about the hypothalamus and pituitary glands! &nbsp;By Ryan Patton.<br>';
catalog['What might happen to a fragile work of art during an earthquake? Learn how the Getty Museum\'s seismic isolator technology protects inherently unstable objects. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google</a>+'] = 'What might happen to a fragile work of art during an earthquake? Learn how the Getty Museum\'s seismic isolator technology protects inherently unstable objects. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google</a>+';
catalog['What momentum is.  A simple problem involving momentum.'] = 'What momentum is.  A simple problem involving momentum.';
catalog['What other amazing properties of Wau can you think of? Leave them in the comments.'] = 'What other amazing properties of Wau can you think of? Leave them in the comments.';
catalog['What probability is.'] = 'Was Wahrscheinlichkeit ist.';
catalog['What ratios and proportions are.  Using them to solve problems in the real world.'] = 'Was Verh\u00e4ltnisse und Proportionen sind. Deren Verwendung, um Probleme in der realen Welt zu l\u00f6sen.';
catalog['What should we believe? These days we receive information from countless sources. Claim testing empowers us to assess the trustworthiness of a concept, assertion, or story.\n'] = 'What should we believe? These days we receive information from countless sources. Claim testing empowers us to assess the trustworthiness of a concept, assertion, or story.\n';
catalog['What should we learn next?'] = 'Was sollten wir als N\u00e4chstes lernen?';
catalog['What started out as a creative way to spread risk ended up fueling a monster housing bubble.  This tutorial explains what mortgage-backed securities are and how they work.'] = 'What started out as a creative way to spread risk ended up fueling a monster housing bubble.  This tutorial explains what mortgage-backed securities are and how they work.';
catalog['What the angle bisector theorem is and its proof'] = 'What the angle bisector theorem is and its proof';
catalog['What the inverse of a matrix is.  Examples of inverting a 2x2 matrix.'] = 'Was ist die Inverse einer Matrix?  Beispiele, wie man eine 2 x 2 Matrix invertiert.';
catalog['What unit vectors are and how to construct them'] = 'Was Einheitsvektoren sind und wie man sie Konstruiert';
catalog['What values can you and can you not input into a function?  What values can the function output?  The domain is the set of values that the function is defined for (i.e., the values that you can input into a function).  The range is the set of values that the function output can take on.\n\nThis tutorial covers the ideas of domain and range through multiple worked examples.  These are really important ideas as you study higher mathematics.'] = 'Welche Werte kannst du oder kannst du nicht in eine Funktion einsetzen? Welche Werte kann dir die Funktion als Ergebnis ausgeben? Der Definitionsbereich ist der Bereich von Werten, f\u00fcr den die Funktion definiert ist (d.h., die Werte die du eingeben kannst in die Funktion). Der Wertemenge ist die Menge von Werten, die die Funktion ausgeben kann. \n\n Dieses Tutorial behandelt die \u00dcberlegung zu Definitionsbereich und Wertemenge anhand vieler Beispiele. Diese Ideen sind wichtig, wenn du dich mit h\u00f6herer Mathematik besch\u00e4ftigst.';
catalog['What was the young earth like?'] = 'What was the young earth like?';
catalog['What was up with Pythagoras?'] = 'Was war blo\u00df mit Pythagoras los?';
catalog['What would fall faster on the moon?'] = 'Was w\u00fcrde schneller auf dem Mond fallen?';
catalog['What would happen if we have a percentage tax instead of a fixed dollar amount'] = 'What would happen if we have a percentage tax instead of a fixed dollar amount';
catalog['What would happen to a slowly moving frozen sock on a frictionless planet'] = 'What would happen to a slowly moving frozen sock on a frictionless planet';
catalog['What would you call a circle that isn\'t a circle?  One that is is is taller or fatter rather than being perfectly round?  An ellipse. (All circles are special cases of ellipses.)\n\nIn this tutorial we go deep into the equations and graphs of ellipses.'] = 'Wie w\u00fcrdest du einen Kreis nennen, der kein Kreis ist? Einen der schlanker oder breiter ist als perfekt rund? Eine Ellipse. (Alle Kreise sind Sonderf\u00e4lle von Ellipsen.)\n\nIn diesem Tutorial vertiefen wir uns in die Gleichungen und Graphen von Ellipsen.';
catalog['What&#39;s the science behind this activity? A battery is chemical energy converted into electrical energy.'] = 'What&#39;s the science behind this activity? A battery is chemical energy converted into electrical energy.';
catalog['What\'s inside of blood?'] = 'What\'s inside of blood?';
catalog['What\'s the difference between etching and drypoint?&nbsp;Did you know that MoMA offers studio courses online?&nbsp;Check out the&nbsp;<a data-cke-saved-href="http://www.moma.org/learn/courses/online#self" href="http://www.moma.org/learn/courses/online#self">list</a>&nbsp;of offerings including online courses on collage and painting techniques.'] = 'What\'s the difference between etching and drypoint?&nbsp;Did you know that MoMA offers studio courses online?&nbsp;Check out the&nbsp;<a data-cke-saved-href="http://www.moma.org/learn/courses/online#self" href="http://www.moma.org/learn/courses/online#self">list</a>&nbsp;of offerings including online courses on collage and painting techniques.';
catalog['What\'s the difference between one piece of metal and three pieces of metal in our cell. Does deflection change? Why?'] = 'What\'s the difference between one piece of metal and three pieces of metal in our cell. Does deflection change? Why?';
catalog['What\'s the probability of picking two "e" from the bag in scrabble (assuming that I don\'t replace the tiles).  Well, the probability of picking an \'e\' on your second try depends on what happened in the first (if you picked an \'e\' the first time around, then there is one less \'e\' in the bag).  This is just one of many, many type of scenarios involving dependent probability.'] = 'What\'s the probability of picking two "e" from the bag in scrabble (assuming that I don\'t replace the tiles).  Well, the probability of picking an \'e\' on your second try depends on what happened in the first (if you picked an \'e\' the first time around, then there is one less \'e\' in the bag).  This is just one of many, many type of scenarios involving dependent probability.';
catalog['What\'s the weather forecast for 4 billion years ago?'] = 'What\'s the weather forecast for 4 billion years ago?';
catalog['What\u2019s God got to do with it? - a lot (Early Christianity, Byzantium, Islam, and Medieval Europe)'] = 'Was hat Gott damit zu tun? - eine Menge (fr\u00fches Christentum, Byzantion, Islam und mittelalterliches Europa)';
catalog['What\u2019s God got to do with it?'] = 'Was hat Gott damit zu tun?';
catalog['What\u2019s My Universe?'] = 'What\u2019s My Universe?';
catalog['Whats all the matter? Atoms and Molecules'] = 'Whats all the matter? Atoms and Molecules';
catalog['Whats happens when a speeding proton goes through a magnetic field'] = 'Whats happens when a speeding proton goes through a magnetic field';
catalog['Wheel mounts and fenders'] = 'Wheel mounts and fenders';
catalog['When Capitalism is great and not-so-great'] = 'When Capitalism is great and not-so-great';
catalog['When Columbus sailed to the Americas, there was a wave of interconnection that rippled across the world. Unfortunately, this interconnection Included deadly microorganisms.<br>'] = 'When Columbus sailed to the Americas, there was a wave of interconnection that rippled across the world. Unfortunately, this interconnection Included deadly microorganisms.<br>';
catalog['When Dave Smith came to the harsh realization and he alone was in charge of his future, he took a resourceful route to become an expert in his field. Mixing the desire to make it with the imagination to fake it, he went to great lengths to connect with TekScape IT customers and make them believe that his tiny organization was big enough to solve their trickiest problems.'] = 'When Dave Smith came to the harsh realization and he alone was in charge of his future, he took a resourceful route to become an expert in his field. Mixing the desire to make it with the imagination to fake it, he went to great lengths to connect with TekScape IT customers and make them believe that his tiny organization was big enough to solve their trickiest problems.';
catalog['When Vasari wrote his enormously influential book, Lives of the Artists, in the 16th century, he credited Giotto, the 14th century Florentine artist with beginning "the great art of painting as we know it today, introducing the technique of drawing accurately from life, which had been neglected for more than two hundred years." In other words, for Vasari, Giotto was the first artist to leave behind the medieval practice of painting what one knows and believes, for the practice of painting what one sees. This tutorial looks at painting and sculpture in both Pisa and Florence to highlight some of the most forward-thinking art of this century.'] = 'When Vasari wrote his enormously influential book, Lives of the Artists, in the 16th century, he credited Giotto, the 14th century Florentine artist with beginning "the great art of painting as we know it today, introducing the technique of drawing accurately from life, which had been neglected for more than two hundred years." In other words, for Vasari, Giotto was the first artist to leave behind the medieval practice of painting what one knows and believes, for the practice of painting what one sees. This tutorial looks at painting and sculpture in both Pisa and Florence to highlight some of the most forward-thinking art of this century.';
catalog['When a function is positive or negative'] = 'Wenn eine Funktion positiv oder negativ ist';
catalog['When acceleration could involve a change in direction and not speed'] = 'When acceleration could involve a change in direction and not speed';
catalog['When and how did life emerge on Earth?  How did humanity develop a civilization?  Is there other intelligent life out there?'] = 'Wann und wie entstand Leben auf der Erde ? Wie hat die Menschheit eine Zivilisation entwickelt ? Gibt es anderes intelligentes Leben da drau\u00dfen ?';
catalog['When and why you can\'t invert a matrix.'] = 'Wann und warum Du eine Matrix nicht invertieren kannst.';
catalog['When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy).  When you do invest, how do you compare risk to return?  Can capital include human abilities?\n\nThis tutorial hodge-podge covers it all.'] = 'When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy).  When you do invest, how do you compare risk to return?  Can capital include human abilities?\n\nThis tutorial hodge-podge covers it all.';
catalog['When companies issue new shares, many people consider this a share "dilution"--implying that the value of each share has been "watered down" a bit.  This tutorial walks through the mechanics and why--assuming management isn\'t doing something stupid--the shares might not be diluted at all.'] = 'When companies issue new shares, many people consider this a share "dilution"--implying that the value of each share has been "watered down" a bit.  This tutorial walks through the mechanics and why--assuming management isn\'t doing something stupid--the shares might not be diluted at all.';
catalog['When down 3 with 30 seconds left, is it better to take a hard 3 or an easy 2 and try to get another possession? Simulation at: http://www.khanacademy.org/cs/basketball-decisions/1024155511'] = 'When down 3 with 30 seconds left, is it better to take a hard 3 or an easy 2 and try to get another possession? Simulation at: http://www.khanacademy.org/cs/basketball-decisions/1024155511';
catalog['When flu viruses attack!'] = 'When flu viruses attack!';
catalog['When humans began farming, new, more complex ways of living were possible.<br>'] = 'When humans began farming, new, more complex ways of living were possible.<br>';
catalog['When is a particle speeding up'] = 'When is a particle speeding up';
catalog['When multiplying numbers with common base, add exponents'] = 'Wenn wir zwei Potenzen mit gleicher Basis multiplizieren addieren wir die Exponenten';
catalog['When people do great and really terrible things (The Renaissance, Colonialism, & the Slave Trade)'] = 'Wenn Menschen gro\u00dfartige und wirklich schreckliche Dinge tun (Die Renaissance, Kolonialismus & der Sklavenhandel)';
catalog['When people do great and really terrible things'] = 'Wenn Menschen gro\u00dfartige und wirklich schreckliche Dinge tun';
catalog['When people walk into an art museum they often expect to see treasures of their cultural history\u2014beautifully crafted precious objects that express profound truths\u2014images of God, nature, man\u2019s heroism, but Campbell soup cans hawked on TV? Pop art sought to upend our comfortable understanding of what art is and it did just that. Warhol, Lichtenstein, Oldenburg, and others confronted the visual reality of our commercial consumer culture by focusing on the mechanics of representation and the subject matter of daily life in the middle of the 20th Century.'] = 'When people walk into an art museum they often expect to see treasures of their cultural history\u2014beautifully crafted precious objects that express profound truths\u2014images of God, nature, man\u2019s heroism, but Campbell soup cans hawked on TV? Pop art sought to upend our comfortable understanding of what art is and it did just that. Warhol, Lichtenstein, Oldenburg, and others confronted the visual reality of our commercial consumer culture by focusing on the mechanics of representation and the subject matter of daily life in the middle of the 20th Century.';
catalog['When people want to think about the general size of things but not worry about the exact number, they tend to think in terms of "orders of magnitude".  This allows us to analyze and make comparisons between numbers very quickly, which allows us to make decisions about them quickly as well.'] = 'Wenn Menschen die ungef\u00e4hre Gr\u00f6\u00dfe von Dingen meinen, aber sich nicht mit der genauen Zahl befassen wollen, dann denken sie oft in "Gr\u00f6\u00dfenordnungen". Dadurch kann man Zahlen sehr schnell analysieren und vergleichen, wodurch man Entscheidungen \u00fcber sie ebenfalls schnell treffen kann.';
catalog['When people want to think about the general size of things but not worry about the exact number, they tend to think in terms of "orders of magnitude".  This allows us to analyze and make comparisons between numbers very quickly, which allows us to make decisions about them quickly as well.\n\nCommon Core Standard: 8.EE.A.3'] = 'Wenn Menschen die ungef\u00e4hre Gr\u00f6\u00dfe von Dingen meinen, aber die genaue Zahl nicht so wichtig ist, dann denken sie oft in "Gr\u00f6\u00dfenordnungen". Dadurch kann man Zahlen sehr schnell analysieren und vergleichen, wodurch man Entscheidungen \u00fcber sie ebenfalls schnell treffen kann.\n\nCommon Core Standard: 8.EE.A.3';
catalog['When solving equations, there is a natural hunger to figure out what an unknown is equal to.  This is especially the case if we want to evaluate an expression that the unknown is part of.  This tutorial exposes us to a class of solvable problems that challenges this hunger and forces us to be the thinking human beings that we are!\n\nIn case you\'re curious, these types of problems are known to show up on standardized exams to see if you are really a thinking human (as opposed to a robot possum).'] = 'Bei der L\u00f6sung von Gleichungen gibt es ein nat\u00fcrliches Verlangen herauszufinden, was der Wert einer Variablen ist. Das ist insbesondere der Fall, wenn wir einen Ausdruck ermitteln wollen, von dem die Variable ein Teil ist. Dieses Tutorial stellt uns einer Klasse l\u00f6sbarer Probleme gegen\u00fcber, die diesen Hunger herausfordern und uns dazu zwingt, die denkenden menschlichen Wesen zu sein, die wir sind! \nFalls du dich wundern solltest, die Art von Problemstellungen werden in standardisierten Pr\u00fcfungen benutzt, um zu sehen, ob du wirklich ein denkender Mensch bist (im Gegensatz zu einer roboterartigen Beutelratte). ';
catalog['When the moon passes through the Earth\'s shadow, it causes the moon to look very unusual for a short period of time. This event is called a lunar eclipse, and it occurs roughly twice a year. <br>'] = 'When the moon passes through the Earth\'s shadow, it causes the moon to look very unusual for a short period of time. This event is called a lunar eclipse, and it occurs roughly twice a year. <br>';
catalog['When the source and the wave move at the same velocity'] = 'When the source and the wave move at the same velocity';
catalog['When we are trying to make a judgement about a population, it is often impractical (or impossible) to observe every member of the population.  For example, imaging trying to survey all 300+ million Americans to understand the likely outcome of the next presidential election!  Because of this, much of statistics is making estimates about a population based on a random sample.  This tutorial introduces you to the idea of what makes a good random sample.  I\'m sure all of you would enjoy it (but I haven\'t had the time to ask all of you).'] = 'Wenn wir versuchen, eine Aussage \u00fcber eine Bev\u00f6lkerung zu treffen, ist es oft unpraktisch (oder unm\u00f6glich), jedes Mitglied der Bev\u00f6lkerung zu beobachten. Stell dir zum Beispiel vor, man versucht alle 300 Millionen Amerikaner zu befragen, um das wahrscheinliche Ergebnis der n\u00e4chsten Pr\u00e4sidentschaftswahl zu verstehen!  Aus diesem Grund werden in Statistiken anhand einer Stichprobe Annahmen \u00fcber eine Bev\u00f6lkerung getroffen.  Dieses Tutorial gibt dir eine Einf\u00fchrung darin, was eine gute Stichprobe ausmacht.  Ich bin mir sicher, alle von euch werden es genie\u00dfen (obwohl ich nicht die Zeit gehabt habe, um euch alle zu fragen).';
catalog['When we measure anything, we do it in human-defined \'units\'.  Different units were defined in different places and for different scales.  Let\'s think about how to convert between the them!\n\nWe\'ll also get our feet wet in angles and continue thinking about perimeter and area!'] = 'Wenn wir etwas messen, dann machen wir das in von Menschen definierten "Einheiten". Verschiedene Einheiten wurden an verschiedenen Orten und f\u00fcr verschiedene Gr\u00f6\u00dfenordnungen definiert. Lass uns dar\u00fcber nachdenken, wie man zwischen ihnen umrechnen kann!\n\nWir werden uns auch mit Winkeln befassen und weiter \u00fcber Umfang und Fl\u00e4cheninhalt nachdenken!';
catalog['When we think of the Renaissance, we tend to think of Florence (and Rome). But the city of Siena also deserves our attention. Today, the lovely walled city of Siena is one of the best preserved Medieval cities in Europe and it was chosen by the United Nations as a World Heritage Site. In the 14th Century, Siena was an independent nation and often at war with its neighbor, Florence. Some of  the most important art of the 14th Century was commissioned for Siena\u2019s Cathedral and town hall. Duccio and his students, the Lorenzetti Brothers and Simone Martini produced large-scale painting with an intricacy and subtle coloration that is unique in the Renaissance.'] = 'When we think of the Renaissance, we tend to think of Florence (and Rome). But the city of Siena also deserves our attention. Today, the lovely walled city of Siena is one of the best preserved Medieval cities in Europe and it was chosen by the United Nations as a World Heritage Site. In the 14th Century, Siena was an independent nation and often at war with its neighbor, Florence. Some of  the most important art of the 14th Century was commissioned for Siena\u2019s Cathedral and town hall. Duccio and his students, the Lorenzetti Brothers and Simone Martini produced large-scale painting with an intricacy and subtle coloration that is unique in the Renaissance.';
catalog['When we wanted to take the derivative of f(x)g(x) in differential calculus, we used the product rule.  In this tutorial, we use the product rule to derive a powerful way to take the anti-derivative of a class of functions--integration by parts.'] = 'Als wir die Ableitung von f(x)g(x) in der Differentialrechnung berechnen wollten, haben wir die Produkt-Regel benutzt.  In diesem Tutorial verwenden wir die Produkt-Regel als eine leistungsstarke M\u00f6glichkeit, die Stammfunktion einer Klasse von Funktionen zu erhalten - durch partielle Integration.';
catalog['When you first started measuring things in units in 2nd grade, you saw that you might want to you different units depending on the scale, application or culture that you are in.  Well, you could imagine that you\'d want to convert from one unit to another as well.  For example, say you walked 2 kilometers.  How many meters would that be?\n\nCommon Core Standard:  4.MD.A.1\t'] = 'Als du in der zweiten Klasse mit dem Messen von Dingen in Einheiten anfingst, hast du gesehen, dass du m\u00f6glicherweise verschiedene Einheiten je nach Skala, der Anwendung oder der Kultur verwendet magst. Nun, du kannst dir vorstellen, dass du von einer Einheit in eine andere umrechnen m\u00f6chtest.  Angenommen, du bist 2 Kilometer gegangen.  Wie viele Meter w\u00e4ren das? \n\nCommon Core Standard: 4.MD.A.1\t';
catalog['When you want to make a circle, how is it done?  Well you probably will start with the radius one.'] = 'Wenn Du einen Kreis machen willst, wie wird es gemacht?  Nun, Du f\u00e4ngst wahrscheinlich mit dem Radius Eins an.';
catalog['Where a function is not differentiable'] = 'Wo eine Funktion nicht differenzierbar ist';
catalog['Where and why did the first cities and states appear?'] = 'Where and why did the first cities and states appear?';
catalog['Where did everything come from? How did we get to where we are now? Where do humans fit in? Where are things heading? These are questions that origin stories of different cultures have addressed for thousands of years.'] = 'Where did everything come from? How did we get to where we are now? Where do humans fit in? Where are things heading? These are questions that origin stories of different cultures have addressed for thousands of years.';
catalog['Where did the word "Algebra" and its underlying ideas come from?'] = 'Woher kommt das Wort "Algebra" und dessen zugrunde liegende Ideen?';
catalog['Where do we think humans come from?  How and why have we developed as a species.  This tutorial attempts to give an overview of these truly fundamental questions.\n\nFrom human evolution (which is covered in more depth in the biology playlist) to the development of agriculture, this tutorial will give you an appreciation of where we\'ve been (and maybe where we\'re going).'] = 'Wo vermuten wir den Ursprung der Menschen? Wie und warum haben wir uns als eine eigene Art entwickelt? Dieses Tutorial versucht einen \u00dcberblick \u00fcber diese wirklich grundlegenden Fragen zu geben. \n\nVon der menschlichen Evolution (die mit mehr Einzelheiten in der Biologie Playlist erkl\u00e4rt wird) bis hin zur Entwicklung des Ackerbaus wird dir dieses Tutorial nahebringen, wo wir herkommen (und in welche Richtung wir uns vielleicht weiterentwickeln).';
catalog['Where does your blood go after it leaves the heart? Your body has a fantastic pipeline system that moves your blood around to drop off oxygen and food to those hungry cells, and removes cell waste. Learn how arteries carry blood away from the heart, how veins bring blood back to the heart, and about the different layers of cells that make up these blood vessels.'] = 'Where does your blood go after it leaves the heart? Your body has a fantastic pipeline system that moves your blood around to drop off oxygen and food to those hungry cells, and removes cell waste. Learn how arteries carry blood away from the heart, how veins bring blood back to the heart, and about the different layers of cells that make up these blood vessels.';
catalog['Where is Mars? How does it move? How far away is it? What are the conditions on the surface? This tutorial covers our initial observations of the Red Planet'] = 'Where is Mars? How does it move? How far away is it? What are the conditions on the surface? This tutorial covers our initial observations of the Red Planet';
catalog['Where is biodiversity found?'] = 'Where is biodiversity found?';
catalog['Where the dollars at the pump go'] = 'Wohin die Dollars an der Zapfs\u00e4ule gehen';
catalog['Whether a special quadrilateral can exist'] = 'Whether a special quadrilateral can exist';
catalog['Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like "the make-up of change in a troll\'s pocket" or "how can order the right amount of potato chips for a King\'s party."  Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution.  This tutorial will also help you think about when system might have no solution or an infinite number of solutions.  Very, very exciting stuff!'] = 'Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like "the make-up of change in a troll\'s pocket" or "how can order the right amount of potato chips for a King\'s party."  Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution.  This tutorial will also help you think about when system might have no solution or an infinite number of solutions.  Very, very exciting stuff!';
catalog['Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like "the make-up of change in a troll\'s pocket" or "how can order the right amount of potato chips for a King\'s party."  Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution.  This tutorial will also help you think about when system might have no solution or an infinite number of solutions.  Very, very exciting stuff!\n\nIf you want more examples, feel free to look at the other tutorials in this topic.\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c'] = 'Ob in der realen Welt oder einer Fantasie-Welt, Gleichungssysteme sind der Schl\u00fcssel zur L\u00f6sung so wichtiger Themen wie "die Zusammensetzung des Wandels in ein Troll-Tasche" oder "wie bestelle ich die richtige Menge an Kartoffel-Chips f\u00fcr die k\u00f6nigliche Party".  Begleite uns dabei wenn wir die wichtigsten Wege zur L\u00f6sung von Gleichungssystemen durchgehen (und mit Beispielen und \u00dcbungen festigen): grafische L\u00f6sungen, Elimination und Substitution.  Dieses Tutorial hilft dir auch beim Erkennen, wann das System keine L\u00f6sung oder unendlich viele L\u00f6sungen haben k\u00f6nnte.  Sehr, sehr spannende Sachen! \n\nWenn du weitere Beispiele magst, schau dir die anderen Tutorials in diesem Kapitel an.\n\nCommon Core Standards: 8.EE.C. 8, 8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c';
catalog['Whether the normal force balances the force of gravity for a frozen sock or banana'] = 'Whether the normal force balances the force of gravity for a frozen sock or banana';
catalog['Whether with words or numbers, we\'ll try to understand multiple ways of representing a whole number quantity.  We\'ll even play with place value a good bit to make sure that everything is clicking!'] = 'Wir versuchen mehrere M\u00f6glichkeiten zu verstehen, eine ganze Zahl darzustellen, ob mit W\u00f6rtern oder Zahlen, Wir spielen sogar mit Stellenwerten herum um sicherzustellen, dass alles verstanden wurde!';
catalog['Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible!  You will deepen your knowledge of the decimals that you were first exposed to in 4th grade.  In particular, you\'ll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents.  This will be complemented by building your fraction muscles where you\'ll learn to add, subtract, and multiply any fractions (and begin to divide them).  On the measurement front, you\'ll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade.  5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you\'ll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)!\n\n(Content was selected for this grade level based on a typical curriculum in the United States.)'] = 'Egal ob Sie ein Roboter, Opossum, magisches Einhorn oder nur ein normales menschliches Wesen sind, die 5. Klasse ist unglaublich! Sie werden Ihr Wissen \u00fcber Dezimalzahlen vertiefen, mit dem Sie das erste Mal in der 4. Klasse konfrontiert wurden. Insbesondere werden Sie lernen, die arithmetischen Operationen - Addition, Subtraktion, Multiplikation und Division - auf Dezimalzahlen anzuwenden und wirklich zu verstehen, was ein Komma repr\u00e4sentiert. Das alles wird durch Aufbau Ihrer "Bruch-Muskeln", wo Sie lernen, Br\u00fcche zu addieren, zu subtrahieren und zu multiplizieren (und auch schon ein wenig dividieren). Im Bereich der Messung werden Sie Volumen (oder wie viel "Platz" etwas braucht) erkunden und die Einheiten-Umwandlungs-Reise fortsetzen, die Sie in der 4. Klasse begonnen haben. In der 5. Klasse werden Sie auch zum ersten Mal mit dem grundlegenden Konzept, Punkte im Koordinatensystem darzustellen, konfrontiert. Sie werden auch eine sehr kurze Einf\u00fchrung in das Konzept der Exponenten erhalten (Bei der Erkundung von Potenzen der Zahl 10)\n\n(Der Inhalt f\u00fcr diese Klassenstufe basiert auf einem typischen US-Lehrplan.)';
catalog['Whether you are computing mortgage payments or calculating how many users your website will have after a few years,  geometric  series show up in life far more than you imagine.  This tutorial will review all the important concepts and more!'] = 'Ob du Hypothekenzahlungen berechnest oder wie viele Nutzer deine Website nach ein paar Jahren haben wird, geometrischen Reihe zeigen sich im Leben weit \u00f6fter, als du dir vorstellst.  In diesem Lernprogramm werden die wichtigen Konzepte noch einmal durchdacht und vieles mehr!';
catalog['Whether you are computing mortgage payments or calculating the distance traveled by a bouncing ball, geometric  series show up in life far more than you imagine.  This tutorial will review all the important concepts and more!'] = 'Whether you are computing mortgage payments or calculating the distance traveled by a bouncing ball, geometric  series show up in life far more than you imagine.  This tutorial will review all the important concepts and more!';
catalog['Whether you are learning computer science, logic, or probability (or a bunch of other things), it can be very, very useful to have this "set" of skills.  From what a set is to how we can operate on them, this tutorial will have you familiar with the basics of sets!'] = 'Egal ob du gerade Informatik, Logik oder Wahrscheinlihkeitsrechnung (oder einen Haufen anderer Dinge) lernst. Es kann wirklich sehr, sehr n\u00fctzlich sein diese "Menge" an F\u00e4higkeiten zu besitzen. Dieses Tutorial macht dich mit den Grundlagen der Mengenlehre vertraut; von der Erkl\u00e4rung, was eine Menge eigentlich ist, bist hinzu den Operationen, die man mit ihnen durchf\u00fchren kann.';
catalog['Whether you are talking about how force relates to acceleration or how the cost of movie tickets relates to the number of people going, it is not uncommon in this universe for things to vary directly.  Similarly, when you are, say, talking about how hunger might relate to seeing roadkill, things can vary inversely.\n\nThis tutorial digs deeper into these ideas with a bunch of examples of direct and inverse variation.'] = 'Ob du dar\u00fcber nachdenkst, wie sich Kraft zu Beschleunigung verh\u00e4lt oder die Anzahl von Kinokarten zur Anzahl der Leute, die sich den Film angucken m\u00f6chten, es ist in diesem Universum nicht ungew\u00f6hnlich, wenn sich Dinge proportional ver\u00e4ndern. Gleichzeitig kann es m\u00f6glich sein, wenn du zum Beispiel \u00fcber die Relation von Appetit zu \u00fcberfahrenen Tieren auf der Stra\u00dfe betrachtest, das Dinge antiproportional sind.\n\nDieses Tutorial taucht ein in diese Konzepte, mit jeder Menge Beispielen f\u00fcr Proportionalit\u00e4t und Antiproportionalit\u00e4t.';
catalog['Whether you are trying to impress your dog\'s friends (who are obsessed with figuring out number divisibility) or quickly factor a number, it can be very useful to tell whether a number is divisible by another.  This tutorial walks through some of the more standard divisibility methods and describes why they work.'] = 'Wenn du versuchst die Freunde deines Hundes (die besessen sind die Teilbarkeit einer Nummer) zu beeindrucken oder versuchst schnell eine Zahl zu fakturieren, kann es sehr n\u00fctzlich sein zu sagen, ob eine Zahl teilbar ist durch eine andere. Dieses Tutorial f\u00fchrt durch einige der Standard-Teilbarkeit Methoden und beschreibt, warum sie funktionieren.\n';
catalog['Whether you love him or hate him (or just consider him a friend that you respect but disagree with every-now-and-then), Keynes has helped define how many modern governments think about their economies.  This tutorial explains how his thinking was a fundamental departure from classical economics.'] = 'Whether you love him or hate him (or just consider him a friend that you respect but disagree with every-now-and-then), Keynes has helped define how many modern governments think about their economies.  This tutorial explains how his thinking was a fundamental departure from classical economics.';
catalog['Whether you\'re calculating a tip at your favorite restaurant or figuring out how many decades you\'ll be paying your student debt because of the interest, percents will show up again and again and again in your life.  This tutorial will expose you to some of these problems before they show up in your actual life so you can handle them with ease (kind of like a vaccine for the brain).  Enjoy.'] = 'Ob Sie das Trinkgeld in Ihrem Lieblingsrestaurant berechnen oder herausfinden wollen, wie viele Jahrzehnte Sie f\u00fcr Ihre Studentenschulden  bezahlen m\u00fcssen, Prozente werden wieder und wieder in Ihrem Leben auftauchen.  In diesem Lernprogramm zeigen wir Ihnen  einige dieser Probleme bevor sie in Ihrem tats\u00e4chlichen Leben auftauchen, damit Sie sie mit Leichtigkeit (ein bisschen wie ein Impfstoff f\u00fcr das Gehirn) behandeln k\u00f6nnen.  Viel Spa\u00df.';
catalog['Whether you\'re looking at scientific data or stock price charts, box-and-whisker plots can show up in your life.  This tutorial covers what they are, how to read them and how to construct them.  We\'d consider this tutorial very optional, but it is a good application of dealing with medians and ranges.'] = 'Whether you\'re looking at scientific data or stock price charts, box-and-whisker plots can show up in your life.  This tutorial covers what they are, how to read them and how to construct them.  We\'d consider this tutorial very optional, but it is a good application of dealing with medians and ranges.';
catalog['Whether you\'re looking at scientific data or stock price charts, box-and-whisker plots can show up in your life. This tutorial covers what they are, how to read them and how to construct them. \n\nCommon Core Standard: 6.SP.B.4'] = 'Egal ob du wissenschaftliche Daten oder Aktienkurs Charts ansiehst, k\u00f6nntest du \u00fcber Box-Whisker-Plots stolpern. In diesem Tutorial erf\u00e4hrst du, was sie sind, wie sie zu lesen sind und wie man sie erstellt. \n\nCommon Core Standard: 6.SP.B.4';
catalog['Which has more?'] = 'Which has more?';
catalog['Which minions can the wizard reach'] = 'Which minions can the wizard reach';
catalog['Which muscles do we voluntarily control? Which muscles do we have NO control over? What&#39;s the difference between sympathetic and parasympathetic innervation? Learn about how our brain splits its control over the body into autonomic and somatic nervous systems.&nbsp; By Raja Narayan.'] = 'Which muscles do we voluntarily control? Which muscles do we have NO control over? What&#39;s the difference between sympathetic and parasympathetic innervation? Learn about how our brain splits its control over the body into autonomic and somatic nervous systems.&nbsp; By Raja Narayan.';
catalog['Which of the following statements accurately describe the hardware and infrastructure at your planned deployment?'] = 'Which of the following statements accurately describe the hardware and infrastructure at your planned deployment?';
catalog['Which of the following statements accurately describe the internet access at your planned deployment?'] = 'Which of the following statements accurately describe the internet access at your planned deployment?';
catalog['While loops in python'] = 'While loops in python';
catalog['White and Black Dwarfs'] = 'Wei\u00dfe und schwarze Zwerge';
catalog['White and black dwarfs'] = 'White and black dwarfs';
catalog['Who bears the burden for a tax on a good with perfectly elastic demand'] = 'Who bears the burden for a tax on a good with perfectly elastic demand';
catalog['Who bears the burden for the taxes when demand is inelastic'] = 'Who bears the burden for the taxes when demand is inelastic';
catalog['Who doesn\'t like triangles? They\'re useful. They show up a lot. What you\'ll see in this topic is that they are far more magical and mystical than you ever imagined!'] = 'Who doesn\'t like triangles? They\'re useful. They show up a lot. What you\'ll see in this topic is that they are far more magical and mystical than you ever imagined!';
catalog['Whole number and fraction multiplication concept'] = 'Konzept f\u00fcr Multiplikation von ganzen Zahlen und Br\u00fcchen';
catalog['Whole numbers as fractions'] = 'Ganze Zahlen als Br\u00fcche';
catalog['Why 0/0 is considered to be indeterminate'] = 'Warum bezeichnet man 0/0 als unbestimmt';
catalog['Why Carbon is a tramp'] = 'Warum CO2 ein Landstreicher ist';
catalog['Why Cepheids Pulsate'] = 'Why Cepheids Pulsate';
catalog['Why Europe is worried about Greece'] = 'Warum Europa \u00fcber Griechenland besorgt ist';
catalog['Why Gravity Gets So Strong Near Dense Objects'] = 'Warum die Schwerkraft in der N\u00e4he von dichten Objekten so stark wird';
catalog['Why Keynesian thinking might not be ideal sometimes'] = 'Why Keynesian thinking might not be ideal sometimes';
catalog['Why Khan Academy? (higher education math)'] = 'Why Khan Academy? (higher education math)';
catalog['Why S-Waves Only Travel in Solids'] = 'Warum S-Wellen nur durch Festk\u00f6rper laufen';
catalog['Why S-waves only travel in solids'] = 'Why S-waves only travel in solids';
catalog['Why Tau might be a better number to look at than Pi'] = 'Warum Tau vielleicht eine bessere Zahl zum Anschauen ist als Pi';
catalog['Why Warren Buffett called Credit Default Swaps financial weapons of mass destruction'] = 'Why Warren Buffett called Credit Default Swaps financial weapons of mass destruction';
catalog['Why a CDO could be worth nothing even though they are "collateralized".'] = 'Why a CDO could be worth nothing even though they are "collateralized".';
catalog['Why a negative times a negative is a positive'] = 'Warum minus mal minus plus ist';
catalog['Why a negative times a negative makes intuitive sense'] = 'Warum negativ mal negativ intuitiv sinnvoll ist';
catalog['Why all the letters in algebra?'] = 'Warum die ganzen Buchstaben in der Algebra?';
catalog['Why are we going to Mars today, where are we looking, what are we hoping to find?'] = 'Why are we going to Mars today, where are we looking, what are we hoping to find?';
catalog['Why are you sticking to your chair (ignoring the spilled glue)?  Why does the earth orbit the sun (or does it)? How high could I throw my dog on the moon?\n\nGravitation defines our everyday life and the structure of the universe.  This tutorial will introduce it to you in the Newtonian sense.'] = 'Why are you sticking to your chair (ignoring the spilled glue)?  Why does the earth orbit the sun (or does it)? How high could I throw my dog on the moon?\n\nGravitation defines our everyday life and the structure of the universe.  This tutorial will introduce it to you in the Newtonian sense.';
catalog['Why aren\'t we using the multiplication sign'] = 'Warum wir das Multiplizieren-Zeichen nicht benutzen';
catalog['Why biodiversity is distributed unevenly'] = 'Why biodiversity is distributed unevenly';
catalog['Why bond prices move inversely to changes in interest rate'] = 'Warum sich Anleihekurse entegengesetzt von Zinsraten bewegen';
catalog['Why carrying works'] = 'Warum das Merken des \u00dcbertrags funktioniert';
catalog['Why cepheids pulsate'] = 'Why cepheids pulsate';
catalog['Why current and capital accounts net out'] = 'Why current and capital accounts net out';
catalog['Why did civilizations expand?'] = 'Why did civilizations expand?';
catalog['Why did housing prices go up so much from 2000-2006 even though classical supply/demand would not have called for it'] = 'Why did housing prices go up so much from 2000-2006 even though classical supply/demand would not have called for it';
catalog['Why did lending standards become more and more lax from 2000 to 2006?'] = 'Why did lending standards become more and more lax from 2000 to 2006?';
catalog['Why distance is area under velocity-time line'] = 'Why distance is area under velocity-time line';
catalog['Why dividing by zero is undefined'] = 'Warum ist Teilen durch Null nicht definiert';
catalog['Why do Primes make some problems fundamentally hard? Build machines to perform primality tests!'] = 'Warum machen Primzahlen einige Probleme grunds\u00e4tzlich schwer? Erstellen Sie Algorithmen, um Primzahl-Tests durchzuf\u00fchren!';
catalog['Why do astronauts appear weightless despite being near the Earth?'] = 'Why do astronauts appear weightless despite being near the Earth?';
catalog['Why do things move in circles? Seriously.  Why does *anything* ever move in a circle (straight lines seem much more natural). ?  Is something moving in a circle at a constant speed accelerating?  If so, in what direction?  This tutorial will help you get mind around this super-fun topic.'] = 'Why do things move in circles? Seriously.  Why does *anything* ever move in a circle (straight lines seem much more natural). ?  Is something moving in a circle at a constant speed accelerating?  If so, in what direction?  This tutorial will help you get mind around this super-fun topic.';
catalog['Why do we even care about the Drake Equation.  Thinking about the fraction of a planet\'s life when a civilization might be detectable.'] = 'Why do we even care about the Drake Equation.  Thinking about the fraction of a planet\'s life when a civilization might be detectable.';
catalog['Why do we need public key cryptography?'] = 'Warum brauchen wir Kryptografie mit \u00f6ffentlichen Schl\u00fcsseln?';
catalog['Why do we shiver when it&#39;s cold? How do our muscles make sure we don&#39;t freeze or have a heat stroke? Learn how the skin, brain, blood vessels, and muscles work together to maintain our core body temperature.&nbsp; By Raja Narayan.'] = 'Why do we shiver when it&#39;s cold? How do our muscles make sure we don&#39;t freeze or have a heat stroke? Learn how the skin, brain, blood vessels, and muscles work together to maintain our core body temperature.&nbsp; By Raja Narayan.';
catalog['Why does soap work to get the grease and dirt off of dirty pans and other things when water alone can\'t do the job?'] = 'Why does soap work to get the grease and dirt off of dirty pans and other things when water alone can\'t do the job?';
catalog['Why does the deflection change when an electromagnet is attached to the circuit? Does it matter what side of the electromagnet we test?'] = 'Why does the deflection change when an electromagnet is attached to the circuit? Does it matter what side of the electromagnet we test?';
catalog['Why doesn\'t the heart rip?'] = 'Why doesn\'t the heart rip?';
catalog['Why duopolists would benefit to form a cartel and why it makes sense for them to cheat'] = 'Why duopolists would benefit to form a cartel and why it makes sense for them to cheat';
catalog['Why gravity gets so strong near dense objects'] = 'Why gravity gets so strong near dense objects';
catalog['Why is biodiversity distributed unevenly?'] = 'Why is biodiversity distributed unevenly?';
catalog['Why is biodiversity important?'] = 'Why is biodiversity important?';
catalog['Why is factorization hard, yet generating primes easy? Where do we go from here?'] = 'Warum ist die Faktorisierung schwer, w\u00e4hrend es leicht ist, Primzahlen zu generieren? Was machen wir als N\u00e4chstes?';
catalog['Why is that Important?: Looking at Jackson Pollock\n\nA conversation with Sal Khan, Steven Zucker and Beth Harris'] = 'Warum ist das wichtig?: Jackson Pollock\n\nA Gespr\u00e4ch mit Sal Khan, Steven Zucker und Beth Harris';
catalog['Why is that art? Can art be an idea? Does art have to represent the world we see?'] = 'Why is that art? Can art be an idea? Does art have to represent the world we see?';
catalog['Why is that important? Looking at Jackson Pollock'] = 'Why is that important? Looking at Jackson Pollock';
catalog['Why is this art? Andy Warhol, Campbell\'s Soup Cans'] = 'Why is this art? Andy Warhol, Campbell\'s Soup Cans';
catalog['Why it is hard for a monopolisitc competitor to make economic profit in the long run'] = 'Why it is hard for a monopolisitc competitor to make economic profit in the long run';
catalog['Why it is rational to produce at a loss'] = 'Why it is rational to produce at a loss';
catalog['Why lattice multiplication works'] = 'Warum die Gitter-Multiplikation funktioniert';
catalog['Why look at art? This was the question we posed to several of our colleagues at a conference for museum professionals. Special thanks to Laura Mann, Anna Velez, an anonymous professional, and David Torgersen whose voices and insights are included here.'] = 'Warum Kunst betrachten? Diese Frage stellten wir einiger unserer Kollegen bei einer Konferenz von Museums-Experten. Besonderen Dank an Laura Mann, Anna Velez, ein anonymer Experte und David Torgersen, dessen Stimmen und Gedanken hier eingebunden sind.';
catalog['Why look at art?'] = 'Why look at art?';
catalog['Why measuring Hemoglobin A1c levels is an indicator of blood sugar levels (and diabetes)'] = 'Why measuring Hemoglobin A1c levels is an indicator of blood sugar levels (and diabetes)';
catalog['Why negative number products are defined in the way they are.'] = 'Warum das Produkt negativer Zahlen so definiert ist wie es ist.';
catalog['Why our closeness to the sun does not dictate the seasons'] = 'Warum unsere N\u00e4he zur Sonne nicht die Jahreszeiten verursacht';
catalog['Why parties in a cartel will cheat'] = 'Why parties in a cartel will cheat';
catalog['Why parties to cartels cheat'] = 'Why parties to cartels cheat';
catalog['Why people set up corporations'] = 'Warum Menschen Unternehmen gr\u00fcnden';
catalog['Why static friction is harder to overcome than kinetic friction'] = 'Why static friction is harder to overcome than kinetic friction';
catalog['Why subtracting a negative is equivalent to adding a positive'] = 'Warum die Subtraktion einer negativen Zahl das gleiche ist wie die Addition einer positiven Zahl';
catalog['Why synthetic division works'] = 'Warum synthetische Division funktioniert';
catalog['Why the Greek situation is scary for Europe as a whole'] = 'Why the Greek situation is scary for Europe as a whole';
catalog['Why the abstraction of mathematics is so fundamental'] = 'Warum ist die Abstraktion der Mathematik so grundlegend';
catalog['Why the circuit will keep flipping over.'] = 'Why the circuit will keep flipping over.';
catalog['Why the marginal utility for dollar spent should be theoritically equal for the last increment of either good purchased'] = 'Why the marginal utility for dollar spent should be theoritically equal for the last increment of either good purchased';
catalog['Why the opportunity cost may increase as you pursue more rabbits'] = 'Why the opportunity cost may increase as you pursue more rabbits';
catalog['Why the quotient rule is the same thing as the product rule.  Introduction to the derivative of e^x, ln x, sin x, cos x, and tan x'] = 'Warum ist die Quotienten-Regel dasselbe ist wie die Produkt-Regel.  Einf\u00fchrung in die Ableitung von e^x, ln x, sin x, cos x und tan x';
catalog['Why the value per share does not really get diluted when more shares are issued in a secondary offering'] = 'Why the value per share does not really get diluted when more shares are issued in a secondary offering';
catalog['Why there tends to  be moderate inflation during good economies'] = 'Warum es oft moderate Inflation in guten Wirtschaften gibt';
catalog['Why they are called hyperbolic functions'] = 'Why they are called hyperbolic functions';
catalog['Why two not-so-loyal criminals would want to snitch each other out'] = 'Warum zwei nicht besonders loyale Kriminelle sich gegenseitig verpfeifen w\u00fcrden';
catalog['Why was agriculture so important?'] = 'Why was agriculture so important?';
catalog['Why we avoid using the traditional multiplication sign in algebra.'] = 'Warum wir das \u00fcbliche Multiplikations-Zeichen in Algebra nicht benutzen.';
catalog['Why we calculate percent changes in a strange way when calculating elasticities'] = 'Why we calculate percent changes in a strange way when calculating elasticities';
catalog['Why we can represent the unknown mass problem as a simple equation'] = 'Warum wir das unbekannte Gewichtsproblem als eine einfache Gleichung darstellen k\u00f6nnen';
catalog['Why we do the same  thing to both sides basic systems'] = 'Warum wir das Gleiche auf beiden Seiten tun';
catalog['Why we do the same  thing to both sides: Simple equations'] = 'Warum tun wir das Gleiche auf beiden Seiten tun: Einfache Gleichungen';
catalog['Why we do the same thing to both sides: Multi-step equations'] = 'Warum wir das selbe auf beiden Seiten tun m\u00fcssen: Gleichungen in mehreren Stufen l\u00f6sen';
catalog['Why we do the same thing to both sides: Two-step equations'] = 'Warum wir das Gleiche auf beiden Seiten tun: Gleichungen in mehreren Stufen l\u00f6sen';
catalog['Why we got zero flux in divergence theorem example 1'] = 'Why we got zero flux in divergence theorem example 1';
catalog['Why we need a lymphatic system'] = 'Warum brauchen wir ein lymphatisches System';
catalog['Why we solve one-step equations the way we do.'] = 'Wieso wir einstufige Gleichungen so l\u00f6sen.';
catalog['Why we study differential calculus'] = 'Warum wir die Differentialrechnung studieren.';
catalog['Why when you get your money matters as much as how much money. Present and future value also discussed.'] = 'Why when you get your money matters as much as how much money. Present and future value also discussed.';
catalog['Why work from expansion is the area under the curve of a PV-diagram'] = 'Why work from expansion is the area under the curve of a PV-diagram';
catalog['Why yields go down when prices go up'] = 'Warum Renditen sinken wenn die Preise steigen';
catalog['Why you can add the digits to see if something is divisible by 3'] = 'Warum man die Ziffern einer Zahl zusammenrechnen kann um zu sehen ob etwas durch 3 geteilt werden kann';
catalog['Why you can test divisibility by 9 by just adding the digits'] = 'Warum man die Teilbarkeit durch 9 testen kann indem man einfach die Ziffern addiert';
catalog['Why zero divided by zero is undefined/indeterminate'] = 'Warum Null durch Null geteilt undefiniert/unbestimmt ergibt';
catalog['Width of a dog pen'] = 'Breite eines Hundezwingers';
catalog['Wild Beasts! Les Fauve (wild beasts) is what one critic called the brilliant expressive canvases of Matisse and other artists who exhibited together in 1905. This tutorial traces the work of Henri Matisse from his early Fauvist work with its jarringly bright colors to the stricter geometries he introduced during the First World War. It also tracks Expressionist developments in Germany and Austria with videos on Kirchner, Kandinsky and Jawlensky, artists who adopted a rough, \u201cprimitive\u201d style, and on Egon Schiele\u2019s taut, sexually charged paintings from Vienna.'] = 'Wild Beasts! Les Fauve (wild beasts) is what one critic called the brilliant expressive canvases of Matisse and other artists who exhibited together in 1905. This tutorial traces the work of Henri Matisse from his early Fauvist work with its jarringly bright colors to the stricter geometries he introduced during the First World War. It also tracks Expressionist developments in Germany and Austria with videos on Kirchner, Kandinsky and Jawlensky, artists who adopted a rough, \u201cprimitive\u201d style, and on Egon Schiele\u2019s taut, sexually charged paintings from Vienna.';
catalog['Will the power of two magnets stuck together increase the overall force? Why?'] = 'Will the power of two magnets stuck together increase the overall force? Why?';
catalog['Willem de Kooning, Woman I, oil on canvas, 1950-52 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'Willem de Kooning, Woman I, oil on canvas, 1950-52 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['William Butterfield, All Saints Church, 7 Margaret Street, London, begun 1849-50, consecrated 1859.'] = 'William Butterfield, All Saints Church, 7 Margaret Street, London, begun 1849-50, consecrated 1859.';
catalog['William Butterfield, All Saints, Margaret Street'] = 'William Butterfield, All Saints, Margaret Street';
catalog['William Dyce, Pegwell Bay, Kent - a Recollection of October 5th 1858-60, oil on canvas,\n25 x 35 inches  (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = 'William Dyce, Pegwell Bay, Kent - a Recollection of October 5th 1858-60, oil on canvas,\n25 x 35 inches  (Tate Britain, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['William Eggleston, "Red Ceiling," or Greenwood, Mississippi, Dye transfer print, \n12.625 x 19.0625 in. (32.1 x 48.4 cm), 1973 (prints in MoMA and J. Paul Getty Collection)\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris'] = 'William Eggleston, "Red Ceiling," or Greenwood, Mississippi, Dye transfer print, \n12.625 x 19.0625 in. (32.1 x 48.4 cm), 1973 (prints in MoMA and J. Paul Getty Collection)\n\nSpeakers: Dr. Shana Gallagher-Lindsay, Dr. Beth Harris';
catalog['William Eggleston, Red Ceiling, or Greenwood, Mississippi, 1973'] = 'William Eggleston, Red Ceiling, or Greenwood, Mississippi, 1973';
catalog['William Hogarth, Marriage A-la-Mode (including T\u00eate \u00e0 T\u00eate)'] = 'William Hogarth, Marriage A-la-Mode (including T\u00eate \u00e0 T\u00eate)';
catalog['William Holman Hunt, Claudio and Isabella, 1850, oil on mahogany, 758 x 426 x 10 mm (Tate Britain)\n\nFrom William Shakespeare\'s Measure for Measure, Act III, scene 1 (a room in a prison):\n\nISABELLA\n\n    What says my brother?\n\nCLAUDIO\n\n    Death is a fearful thing.\n\nISABELLA\n\n    And shamed life a hateful.\n\nCLAUDIO\n\n    Ay, but to die, and go we know not where;\n    To lie in cold obstruction and to rot;\n    This sensible warm motion to become\n    A kneaded clod; and the delighted spirit\n    To bathe in fiery floods, or to reside\n    In thrilling region of thick-ribbed ice;\n    To be imprison\'d in the viewless winds,\n    And blown with restless violence round about\n    The pendent world; or to be worse than worst\n    Of those that lawless and incertain thought\n    Imagine howling: \'tis too horrible!\n    The weariest and most loathed worldly life\n    That age, ache, penury and imprisonment\n    Can lay on nature is a paradise\n    To what we fear of death.\n\nISABELLA\n\nAlas, alas!'] = 'William Holman Hunt, Claudio and Isabella, 1850, oil on mahogany, 758 x 426 x 10 mm (Tate Britain)\n\nFrom William Shakespeare\'s Measure for Measure, Act III, scene 1 (a room in a prison):\n\nISABELLA\n\n    What says my brother?\n\nCLAUDIO\n\n    Death is a fearful thing.\n\nISABELLA\n\n    And shamed life a hateful.\n\nCLAUDIO\n\n    Ay, but to die, and go we know not where;\n    To lie in cold obstruction and to rot;\n    This sensible warm motion to become\n    A kneaded clod; and the delighted spirit\n    To bathe in fiery floods, or to reside\n    In thrilling region of thick-ribbed ice;\n    To be imprison\'d in the viewless winds,\n    And blown with restless violence round about\n    The pendent world; or to be worse than worst\n    Of those that lawless and incertain thought\n    Imagine howling: \'tis too horrible!\n    The weariest and most loathed worldly life\n    That age, ache, penury and imprisonment\n    Can lay on nature is a paradise\n    To what we fear of death.\n\nISABELLA\n\nAlas, alas!';
catalog['William Holman Hunt, Our English Coasts (\'Strayed Sheep\'), 1852, oil on canvas, 432 x 584 mm (Tate Britain, London)'] = 'William Holman Hunt, Our English Coasts (\'Strayed Sheep\'), 1852, oil on canvas, 432 x 584 mm (Tate Britain, London)';
catalog['William Holman Hunt, The Awakening Conscience, 1853, oil on canvas, 762 x 559 mm (Tate Britain, London)'] = 'William Holman Hunt, The Awakening Conscience, 1853, oil on canvas, 762 x 559 mm (Tate Britain, London)';
catalog['William is 4 times as old as Ben.  12 years ago, William was 7 times as old as Ben.  How old is Ben now?'] = 'William ist 4 Mal \u00e4lter als Ben. Vor 12 Jahren war William 7 Mal \u00e4lter als Ben. Wie alt ist Ben jetzt?';
catalog['William talks about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=144617" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=144617">Paul Gauguin\'s <em>Head with Horns</em></a>, 1895-97. This is from an imaginative audio tour at the Getty Center: The Supernatural in Art. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.'] = 'William talks about <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=144617" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=144617">Paul Gauguin\'s <em>Head with Horns</em></a>, 1895-97. This is from an imaginative audio tour at the Getty Center: The Supernatural in Art. Love art? <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a> to stay in touch.';
catalog['William talks about the angels in <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1062" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1062">Giovanni Battista Tiepolo\'s <em>Miracle of the Holy House of Loreto</em></a>, c. 1744.&nbsp;<span>This is from an imaginative tour at the Getty Center: The Supernatural in Art. <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a></span><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a><span> to stay in touch.</span>'] = 'William talks about the angels in <a data-cke-saved-href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1062" href="http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=1062">Giovanni Battista Tiepolo\'s <em>Miracle of the Holy House of Loreto</em></a>, c. 1744.&nbsp;<span>This is from an imaginative tour at the Getty Center: The Supernatural in Art. <a data-cke-saved-href="http://plus.google.com/113616727255757210405/posts" href="http://plus.google.com/113616727255757210405/posts">Follow us on </a></span><a data-cke-saved-href="https://plus.google.com/113616727255757210405/posts" href="https://plus.google.com/113616727255757210405/posts">Google+</a><span> to stay in touch.</span>';
catalog['Williamson ether synthesis'] = 'Williamson ether synthesis';
catalog['Wilton Diptych'] = 'Wilton Diptych';
catalog['Winning the lottery versus earning billions'] = 'Vergleich zwischen Lotteriegewinn und Milliarden verdienen';
catalog['Winslow Homer, The Fog Warning (Halibut Fishing), 1885, oil on canvas, 30-1/4 x 48-1/2 inches / 76.83 x 123.19 cm (Museum of Fine Arts, Boston)'] = 'Winslow Homer, The Fog Warning (Halibut Fishing), 1885, oil on canvas, 30-1/4 x 48-1/2 inches / 76.83 x 123.19 cm (Museum of Fine Arts, Boston)';
catalog['Winslow Homer, The Life Line, 1884, oil on canvas, 28-5/8 x 44-3/4 inches / 72.7 x 113.7 cm (Philadelphia Museum of Art)'] = 'Winslow Homer, The Life Line, 1884, oil on canvas, 28-5/8 x 44-3/4 inches / 72.7 x 113.7 cm (Philadelphia Museum of Art)';
catalog['Winsor, #1 Rope'] = 'Winsor, #1 Rope';
catalog['Wire the SPDT switches'] = 'Wire the SPDT switches';
catalog['Wise and Foolish Virgins, Sant Quirze de Pedret'] = 'Wise and Foolish Virgins, Sant Quirze de Pedret';
catalog['With Thanksgiving just around the corner here in the US, it is important to know how to arrange mathed potatoes on your plate for maximum gravy. Also shown are bread spheres, butter prism, and gelatinous cranberry cylinder. \n\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw'] = 'With Thanksgiving just around the corner here in the US, it is important to know how to arrange mathed potatoes on your plate for maximum gravy. Also shown are bread spheres, butter prism, and gelatinous cranberry cylinder. \n\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw';
catalog['With a turn of a key, this table transforms into a desk. Learn how it operates and how it may have been used. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'With a turn of a key, this table transforms into a desk. Learn how it operates and how it may have been used. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['With just a compass and a straightedge  (or virtual versions of them), you\'ll be amazed by how many geometric shapes you can construct perfectly.  This tutorial gets you started with the building block of how to bisect angle and lines (and how to construct perpendicular bisectors of lines).'] = 'With just a compass and a straightedge  (or virtual versions of them), you\'ll be amazed by how many geometric shapes you can construct perfectly.  This tutorial gets you started with the building block of how to bisect angle and lines (and how to construct perpendicular bisectors of lines).';
catalog['With the backing of Gates and Google, Khan Academy and its free online educational videos are moving into the classroom and across the world. Their goal: to revolutionize how we teach and learn. Sanjay Gupta reports.'] = 'Mit der Unterst\u00fctzung von Gates und Google, findet die Khan Academy und seine freien Online-Lernvideos Zugang in die Klassenr\u00e4ume und \u00fcber die ganzen Welt. Ihr Ziel: die Art des Lehrens und Lernens zu revolutionieren. Sanjay Gupta berichtet.';
catalog['With the birth of the first stars, a fantastic chain of events occurred that made possible a diversity of elements and chemistry. Anything was possible.'] = 'With the birth of the first stars, a fantastic chain of events occurred that made possible a diversity of elements and chemistry. Anything was possible.';
catalog['With the failure of the French Revolution (Napoleon crowned himself Emperor, and after his defeat, a King was restored to power in France), there was a turn away from public, political life, toward personal, subjective experience. In large part, this turn characterizes the new style of Romanticism (don\u2019t confuse this with our own use of the term romantic!), whether we look to art in France, Spain, England or Germany. Where Neo-Classical painters created virtuous and heroic subjects with figures willing to sacrifice for the public good, Romantic painters asserted the primacy of emotion and the irrational.'] = 'With the failure of the French Revolution (Napoleon crowned himself Emperor, and after his defeat, a King was restored to power in France), there was a turn away from public, political life, toward personal, subjective experience. In large part, this turn characterizes the new style of Romanticism (don\u2019t confuse this with our own use of the term romantic!), whether we look to art in France, Spain, England or Germany. Where Neo-Classical painters created virtuous and heroic subjects with figures willing to sacrifice for the public good, Romantic painters asserted the primacy of emotion and the irrational.';
catalog['With the world\'s finest collection of modern and contemporary art and a dynamic exhibition program, The Museum of Modern Art is a place for discovery and engagement that fuels creativity and inspires art enthusiasts of all ages and experiences. In the MoMA tutorials, you can explore the fascinating world of modern and contemporary artworks through artist interviews, behind-the-scenes, and how-to videos.'] = 'With the world\'s finest collection of modern and contemporary art and a dynamic exhibition program, The Museum of Modern Art is a place for discovery and engagement that fuels creativity and inspires art enthusiasts of all ages and experiences. In the MoMA tutorials, you can explore the fascinating world of modern and contemporary artworks through artist interviews, behind-the-scenes, and how-to videos.';
catalog['With traditional integrals, our "path" was straight and linear (most of the time, we traversed the x-axis).  Now we can explore taking integrals over any line or curve (called line integrals).'] = 'With traditional integrals, our "path" was straight and linear (most of the time, we traversed the x-axis).  Now we can explore taking integrals over any line or curve (called line integrals).';
catalog['Without muscles, we wouldn\'t be able to do much of anything.  This tutorial begins to explore what muscle cells are and how they contract in order to move our bodies (or do things like breath and pump blood).'] = 'Without muscles, we wouldn\'t be able to do much of anything.  This tutorial begins to explore what muscle cells are and how they contract in order to move our bodies (or do things like breath and pump blood).';
catalog['Wolfgang Laib describes the pollen he collected over 27 years "as the beginning of life." &nbsp;To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = 'Wolfgang Laib describes the pollen he collected over 27 years "as the beginning of life." &nbsp;To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['Wolfgang Laib, "Pollen from Hazelnut"'] = 'Wolfgang Laib, "Pollen from Hazelnut"';
catalog['Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>'] = 'Wood panel was the support most often used for painting before canvasreplaced it at the end of the 1500s. Artists applied gold ground and expensive pigments to the most splendid panel paintings. Love art? <a data-cke-saved-href="http://bit.ly/gettygoogleplus" href="http://bit.ly/gettygoogleplus">Follow us on Google+</a>';
catalog['Wood, American Gothic, 1930'] = 'Wood, American Gothic, 1930';
catalog['Woodcuts and etchings'] = 'Woodcuts and etchings';
catalog['Woodrow Wilson\'s Fourteen Points'] = 'Woodrow Wilson\'s Fourteen Points';
catalog['Woody Allen famously said, \u201cI don\'t want to achieve immortality through my work. I want to achieve it through not dying.\u201d The ancient Egyptians on the other hand, confronted death head-on. In fact, the art of the ancient Egyptians was (for the most part) never meant to be seen by the eyes of the living\u2014it was meant to benefit the dead in the afterlife. Throughout human history, art has been recognized for its ability to outlive us and has been used as a receptacle for our fears and hopes about our own mortality.'] = 'Woody Allen famously said, \u201cI don\'t want to achieve immortality through my work. I want to achieve it through not dying.\u201d The ancient Egyptians on the other hand, confronted death head-on. In fact, the art of the ancient Egyptians was (for the most part) never meant to be seen by the eyes of the living\u2014it was meant to benefit the dead in the afterlife. Throughout human history, art has been recognized for its ability to outlive us and has been used as a receptacle for our fears and hopes about our own mortality.';
catalog['Word Problem Solving- Exponential Growth and Decay'] = 'L\u00f6sen ein Textaufgabe - exponentielles Wachstum und Verfall';
catalog['Word problems with simple multiplication and division. Some problems have remainders.'] = 'Textaufgaben mit einfachen Multiplikationen und Divisionen. Einige Aufgaben mit Rest.';
catalog['Word problems with systems of equations.'] = 'Textaufgaben mit Gleichungssysteme.';
catalog['Word problems with units'] = 'Textaufgaben mit Einheiten';
catalog['Work and energy (part 2)'] = 'Work and energy (part 2)';
catalog['Work and energy - Passage 1'] = 'Work and energy - Passage 1';
catalog['Work and energy - Passage 2'] = 'Work and energy - Passage 2';
catalog['Work and energy'] = 'Arbeit und Energie';
catalog['Work and energy.  Potential energy.  Kinetic energy.  Mechanical advantage.  Springs and Hooke\'s law.'] = 'Arbeit und Energie. Potentielle Energie. Kinetische Energie. Mechanik. Federn und das Hooksche Gesetz.';
catalog['Work and the work energy principle'] = 'Work and the work energy principle';
catalog['Work as the transfer of energy'] = 'Work as the transfer of energy';
catalog['Work discussed: \nGiacoma Balla, Dynamism of a Dog on a Leash, oil, 1912 (Albright-Knox, Buffalo) \nGino Severini, Dynamic Hieroglyph of the Bal Tabarin, oil, 1912 (MoMA) \nUmberto Boccioni, Unique Forms of Continuity in Space, bronze, 1913 (MoMA)'] = 'Work discussed: \nGiacoma Balla, Dynamism of a Dog on a Leash, oil, 1912 (Albright-Knox, Buffalo) \nGino Severini, Dynamic Hieroglyph of the Bal Tabarin, oil, 1912 (MoMA) \nUmberto Boccioni, Unique Forms of Continuity in Space, bronze, 1913 (MoMA)';
catalog['Work done by isothermic process'] = 'Work done by isothermic process';
catalog['Work example problems'] = 'Work example problems';
catalog['Work from expansion'] = 'Work from expansion';
catalog['Work needed to compress a spring is the same thing as the potential energy stored in the compressed spring.'] = 'Work needed to compress a spring is the same thing as the potential energy stored in the compressed spring.';
catalog['Work through these problems to solidify your understanding of how angles can relate to each other.'] = 'Work through these problems to solidify your understanding of how angles can relate to each other.';
catalog['Work/energy problem with friction'] = 'Work/energy problem with friction';
catalog['Worked example evaluating sine and cosine using soh cah toa definition.'] = 'Arbeitsbeispiel, das Sinus und Cosinus mit Verwendung der soh-cah-toa Definition bewertet.';
catalog['Worked example of basic divisibility tests'] = '\u00dcbungsbeispiele von einfachen Teilbarkeits-Tests';
catalog['Worked example of calculating displacement from time and velocity'] = 'Worked example of calculating displacement from time and velocity';
catalog['Worked example showing how to convert radians to degrees'] = 'Berechnungsbeispiel, das zeigt, wie  Bogenma\u00df in Grad umzurechnen ist';
catalog['Worked example that thinks about the relationship between an arc length and the angle that is subtended by the arc.'] = 'Worked example that thinks about the relationship between an arc length and the angle that is subtended by the arc.';
catalog['Worked example that uses the unit circle definition to evaluate trig functions'] = 'Berechnungsbeispiel, das die Definition des Einheitskreises verwendet, um die trigonometrischen Funktionen zu bewerten';
catalog['Worked example to help understand how we covert radians to degrees'] = 'Berechnungsbeispiel um zu verstehen, wie wir Bogenma\u00df in Grad umwandeln';
catalog['Worked example using trig ratios to solve for missing information and evaluate other trig ratios'] = 'Arbeitsbeispiel, das die trigonometrischen Beziehungen verwendet, um fehlende Informationen zu finden und andere trigonometrischen Beziehungen zu evaluieren';
catalog['Worked example using trigonometry to solve for the lengths of the sides of a right triangle given one of the non-right angles.'] = 'Berechnungsbeispiel mit Trigonometrie um die Seitenl\u00e4ngen eines rechtwinkligen Dreiecks zu berechnen wenn einer der nicht-rechten Winkel gegeben ist.';
catalog['Worked example where we walk through finding the major trig ratios'] = 'Arbeitsbeispiel, bei dem wir die gro\u00dfen trigonometrischen Beziehungen finden';
catalog['Worked examples comparing improper fractions and mixed numbers'] = 'Beispiele zum Vergleich von unechten Br\u00fcchen und gemischten Zahlen';
catalog['Worked examples of working with newly defined operators'] = 'Beispiele f\u00fcr das Arbeiten mit neu definierten Operatoren';
catalog['Worked examples'] = 'Ausgearbeitete Beispiele';
catalog['Worked examples: geometry'] = '\u00dcbungsbeispiele: Geometrie';
catalog['Working jade'] = 'Working jade';
catalog['Working on the integrals...'] = 'Working on the integrals...';
catalog['Working our way up to multiplying multiple-digit numbers with each other'] = 'Der Weg um zu mehrstellige Zahlen miteinander zu multiplizieren';
catalog['Working out the probability of pulling a yellow marble from a bag of multi-colored marbles.'] = 'Berechnung der Wahrscheinlichkeit eine gelbe Murmel aus einem Beutel mit verschiedenfarbigen Murmeln zu ziehen.';
catalog['Working through a calculation for K-Ar dating (good to have some prior experience with e and logarithms)'] = 'Working through a calculation for K-Ar dating (good to have some prior experience with e and logarithms)';
catalog['Working through a few examples where we need to evaluate an expression, but we don\'t know the individual variable values'] = 'Arbeiten wir uns durch einige Beispiele, wo wir einen Ausdruck l\u00f6sen sollen, ohne die jeweiligen Werte der Variablen kennen zu m\u00fcssen';
catalog['Working through simplifying a polynomial'] = 'sich mithilfe von Polynomvereinfachung durcharbeiten';
catalog['Working with rational numbers'] = 'Arbeiten mit rationalen Zahlen';
catalog['Working with units algebraically'] = 'Algebraisches Arbeiten mit Einheiten';
catalog['World History'] = 'Weltgeschichte';
catalog['World War I Eastern front'] = 'World War I Eastern front';
catalog['World War I Quiz'] = 'Quiz 1. Weltkrieg';
catalog['World War I shapes the Middle East'] = 'World War I shapes the Middle East';
catalog['World War I'] = 'Der Erste Weltkrieg';
catalog['World War II'] = 'Der zweite Weltkrieg';
catalog['World War II, Hitler, Cold War, Bay of Pigs, Cuban Missile Crisis and the Space Race'] = '2. Weltkrieg, Hitler, Kalter Krieg, Schweinebucht, Kuba-Krise und der Wettlauf ins All';
catalog['World war I (or the Great War) was a defining event for the 20th Century.  It marked the end (or beginning of the end) of centuries-old empires and the dawn-of newly independent states based on ethnic and linguistic commonality.   It didn\'t just change the face of Europe, it changed the face of the world.\n\nFrom the Paris Peace Conference and Treaty of Versailles, we\'ll see how the end of World War I may have been just the set up for even more conflict in Europe and the world.'] = 'World war I (or the Great War) was a defining event for the 20th Century.  It marked the end (or beginning of the end) of centuries-old empires and the dawn-of newly independent states based on ethnic and linguistic commonality.   It didn\'t just change the face of Europe, it changed the face of the world.\n\nFrom the Paris Peace Conference and Treaty of Versailles, we\'ll see how the end of World War I may have been just the set up for even more conflict in Europe and the world.';
catalog['Would a brick or feather fall faster?'] = 'Would a brick or feather fall faster?';
catalog['Would a cyclohexatriene by any other name smell as sweet? In this tutorial, Sal and Jay explain how to name benzene derivatives, the sometimes sweet-smelling cyclic molecules that can be used in the synthesis of explosives and plastics.'] = 'Would a cyclohexatriene by any other name smell as sweet? In this tutorial, Sal and Jay explain how to name benzene derivatives, the sometimes sweet-smelling cyclic molecules that can be used in the synthesis of explosives and plastics.';
catalog['Would access to coin flips speed up a primality test? How would this work?'] = 'W\u00fcrden M\u00fcnzw\u00fcrfe einen Primzahltest beschleunigen? Wie w\u00fcrde das funktionieren?';
catalog['Would you be interested in the possibility of a low-cost (~$60), small, self-contained server solution, capable of running KA Lite?'] = 'Would you be interested in the possibility of a low-cost (~$60), small, self-contained server solution, capable of running KA Lite?';
catalog['Would you rather go to a college with a high teacher-to-student ratio or a low one?  What about the ratio of girls-to-boys?  What is the ratio of eggs to butter in your favorite dessert?\n\nRatios show up EVERYWHERE in life.  This tutorial introduces you to what they (and proportions) are and how to make good use of them!'] = 'W\u00fcrdest du lieber in ein College gehen mit einer hohen Lehrer-zu-Sch\u00fcler Rate oder einer niedrigen? Und was h\u00e4lst du vom Verh\u00e4ltnis der Zahl der M\u00e4dchen zur Zahl der Jungs? Wie ist das Verh\u00e4ltnis von Eiern zu Butter in deinem Lieblingsnachtisch? \n\nAuf Verh\u00e4ltnisse trifft man im Leben \u00dcBERALL. Dieses Tutorial erkl\u00e4rt dir, was Verh\u00e4ltnisse (und Proportionen) sind und wie man sie gut verwendet!';
catalog['Would you rather go to a college with a high teacher-to-student ratio or a low one? What about the ratio of girls to boys? What is the ratio of eggs to butter in your favorite dessert? Ratios show up EVERYWHERE in life. This tutorial introduces you to what they (and proportions) are and how to make good use of them!\n\nCommon Core Standards: 6.RP.A.1, 6.RP.A.2'] = 'W\u00fcrdest du lieber in ein College gehen mit einem hohen Lehrer-zu-Sch\u00fcler Verh\u00e4ltnis oder einem niedrigen? Und was h\u00e4lst du vom Verh\u00e4ltnis der Zahl der M\u00e4dchen zur Zahl der Jungs? Wie ist das Verh\u00e4ltnis von Eiern zu Butter in deinem Lieblingsnachtisch? Auf Verh\u00e4ltnisse trifft man im Leben \u00dcBERALL. Dieses Tutorial erkl\u00e4rt dir, was Verh\u00e4ltnisse (und Anteile) sind und wo man sie brauchen kann!\n\nCommon Core Standards: 6.RP.A.1, 6.RP.A.2';
catalog['Write a mathematical expression from a sentence.'] = 'Erstelle aus einem Satz einen mathematischen Ausdruck.';
catalog['Write a mathematical expression from sentences. Requires distribution.'] = 'Einen mathematischen Ausdruck, der in einem Satz beschrieben wird, aufschreiben. Distributivgesetz vorausgesetzt.';
catalog['Write an equation in slope-intercept form based on values given in a table.'] = 'Schreibe eine Gleichung in Steigung-Schnittpunktform, basierend auf einer Wertetabelle.';
catalog['Write an inequality from a given graph'] = 'Schreibe die Ungleichung, die im Graphen dargestellt wird, auf.';
catalog['Write equations of inequalities graphed on number lines. Identify number line graphs of inequalities.'] = 'Zahlenstrahldarstellung von Ungleichungen. Identifiziere die am Zahlenstrahl dargestellte Ungleichung.';
catalog['Write the next term in an arithmetic sequence.'] = 'Bestimme das n\u00e4chste Glied einer Arithmetischen Reihe.';
catalog['Writing a basic program.  Basics of data types, variables and conditional statements'] = 'Ein Basic-Programm schreiben.  Grundlagen \u00fcber Datentypen, Variablen und bedingte Anweisungen';
catalog['Writing a decimal to represent a quantity'] = 'Mit Dezimalzahlen Mengen darstellen';
catalog['Writing a series in sigma notation'] = 'Sigma-Schreibweise f\u00fcr Reihen';
catalog['Writing a simple factorial program (python 2)'] = 'Ein einfaches Programm zur faktoriellen Berechnung schreiben (Python 2)';
catalog['Writing a simple factorial program with a "for" loop'] = 'Ein einfaches Programm zur faktoriellen Berechnung mit einer "For"-Schleife schreiben';
catalog['Writing and interpreting decimals'] = 'Schreiben und Interpretieren von Dezimalzahlen';
catalog['Writing and interpreting expressions'] = 'Schreiben und Interpretieren von Ausdr\u00fccken';
catalog['Writing and using inequalities 2'] = 'Ungleichungen schreiben und benutzen 2';
catalog['Writing and using inequalities 3'] = 'Ungleichungen schreiben und benutzen 3';
catalog['Writing and using inequalities'] = 'Ungleichungen schreiben und benutzen';
catalog['Writing expressions 1'] = 'Terme erstellen 1';
catalog['Writing expressions 2 exercise example'] = 'Terme aufstellen 2 \u00dcbungsbeispiel';
catalog['Writing expressions 2'] = 'Terme erstellen 2';
catalog['Writing expressions 3 exercise example 1'] = 'Terme aufstellen 3 \u00dcbungsbeispiel 1';
catalog['Writing expressions 3 exercise example 2'] = 'Terme aufstellen 3 \u00dcbungsbeispiel 2';
catalog['Writing expressions 3 exercise example 3'] = 'Terme aufstellen 3 \u00dcbungsbeispiel 3';
catalog['Writing expressions with variables word problems'] = 'Schreiben von Ausdr\u00fccken mit Variablen: Textaufgaben';
catalog['Writing expressions'] = 'Mathematische Ausdr\u00fccke aufschreiben';
catalog['Writing fractions as repeating decimals'] = 'Br\u00fcche als periodische Dezimalzahlen schreiben';
catalog['Writing in logarithmic and exponential form'] = 'In logarithmischer und exponentieller Form schreiben';
catalog['Writing numbers to 1000'] = 'Zahlen bis 1000 schreiben';
catalog['Writing numerical expressions with exponents word problems'] = 'Textaufgaben: Numerische Ausdr\u00fccke mit Exponenten schreiben';
catalog['Writing numerical expressions with exponents'] = 'Numerische Ausdr\u00fccke mit Exponenten schreiben';
catalog['Writing numerical inequalities exercise'] = 'Schreiben von numerischen Ungleichungen - \u00dcbung';
catalog['Writing numerical inequalities'] = 'Numerische Ungleichungen schreiben';
catalog['Writing our surface integral as a double integral over the domain of our parameters'] = 'Writing our surface integral as a double integral over the domain of our parameters';
catalog['Writing out a decimal in words 2'] = 'Eine Dezimalzahl zerlegen 2';
catalog['Writing out a decimal in words'] = 'Eine Dezimalzahl zerlegen';
catalog['Writing proportions'] = 'Proportionen aufschreiben';
catalog['Writing systems of equations as matrix equations'] = 'Writing systems of equations as matrix equations';
catalog['X  and Y intercepts'] = 'X und Y-Koordinaten';
catalog['X and Y intercepts 2'] = 'X- und Y-Abschnitte 2';
catalog['X-Axis'] = 'X-Axis';
catalog['X-Rays (1895)'] = 'R\u00f6ntgenstrahlen (1895)';
catalog['Xu Bing, <em>Book from the Sky</em>, c. 1987-91, hand-printed books and ceiling and wall scrolls printed from wood letterpress type; ink on paper, each book, open: 18 1/8 &times; 20 inches / 46 &times; 51 cm; each of three ceiling scrolls 38 inches &times; c. 114 feet 9-7/8 inches / 96.5 &times; 3500 cm; each wall scroll 9 feet 2-1/4 inches &times; 39-3/8 inches / 280 &times; 100 cm (installation at the Metropolitan Museum of Art, 2014), collection of the artist, &copy; Xu Bing<br />\nSpeakers: Allison Young and Steven Zucker'] = 'Xu Bing, <em>Book from the Sky</em>, c. 1987-91, hand-printed books and ceiling and wall scrolls printed from wood letterpress type; ink on paper, each book, open: 18 1/8 &times; 20 inches / 46 &times; 51 cm; each of three ceiling scrolls 38 inches &times; c. 114 feet 9-7/8 inches / 96.5 &times; 3500 cm; each wall scroll 9 feet 2-1/4 inches &times; 39-3/8 inches / 280 &times; 100 cm (installation at the Metropolitan Museum of Art, 2014), collection of the artist, &copy; Xu Bing<br />\nSpeakers: Allison Young and Steven Zucker';
catalog['Xu Bing, Book from the Sky'] = 'Xu Bing, Book from the Sky';
catalog['Y-Axis'] = 'Y-Axis';
catalog['Year 2060: Education Predictions'] = 'Bildung im Jahr 2060 - Eine Vorausschau';
catalog['Yellow and cyan challenge'] = 'Yellow and cyan challenge';
catalog['Yellow and cyan solution'] = 'Yellow and cyan solution';
catalog['Yes, you are right. Haiti is not in Europe.  We put the tutorial here because it was a French colony and its own revolution is closely linked to that of France\'s.\n\nPossibly one of the saddest histories that a nation can have, this tutorial tries to give as much context as possible for the birth of Haiti.'] = 'Ja, du hast Recht. Haiti ist nicht in Europa. Wir haben das Tutorial hier hingesteckt weil Haiti eine franz\u00f6sische Kolonie war und deren Revolution stark mit der Franz\u00f6sische Revolution verbunden ist.\n\nWas folgt ist wahrscheinlich eine der traurigsten Geschichten die eine Nation haben kann und dieses Tutorial versucht so viel Kontext wie m\u00f6glich f\u00fcr die Geburt von Haiti zu geben.';
catalog['Yoga plans'] = 'Yoga Pl\u00e4ne';
catalog['You ain\u2019t the boss of me! Oh, maybe you are (Revolution and Modern Society)'] = 'Du bist nicht mein Chef! Oh, vielleicht bist du es doch (Revolution und die moderne Gesellschaft)';
catalog['You ain\u2019t the boss of me!'] = 'Du bist nicht mein Chef!';
catalog['You already have many tools in your mathematical toolkit.  In this topic, you\'ll use these in settings that you\'re likely to encounter in the real world!'] = 'Du hast schon viele Werkzeuge in deiner mathematischen Werkzeugkiste. In diesem Thema verwendest du diese Werkzeuge in Situationen, denen du wahrscheinlich in der realen Welt begegnest!';
catalog['You already have many tools in your mathematical toolkit.  In this topic, you\'ll use these in settings that you\'re likely to encounter in the real world!\n\nCommon Core Standards: 7.EE.B.3'] = 'Du hast schon eine ganze Menge Werkzeuge in deinem mathematischen Werkzeugkasten.  In diesem Kapitel verwendest du sie in einer Umgebung, die du wahrscheinlich auch in der echten Welt einmal haben wirst! \n\n Common Core Standards: 7.EE.B. 3';
catalog['You already know a bit about multiplying expressions.  We\'ll now reverse course and look at how to think about an expression as the product of simpler ones (just like we did when we find the factors of numbers).'] = 'Du wei\u00dft bereits ein bisschen \u00fcber das Multiplizieren von Ausdr\u00fccken. Wir werden den Kurs nun umdrehen und uns anschauen, wie man \u00fcber einen Ausdruck als Produkt von einfacheren Ausdr\u00fccken denken kann (Genau wie wir es getan haben, als wir die Faktoren von Zahlen gesucht haben).';
catalog['You already know a good bit about hypothesis testing with one or two samples.  Now we take things further by making inferences based on three or more samples.  We\'ll use the very special F-distribution to do it (F stands for "fabulous").'] = 'Wir wissen schon einiges \u00fcber das Testen von Hypothesen mit ein oder zwei Stichproben.  Jetzt gehen wir noch weiter indem Einfl\u00fcsse auf der Grundlage von drei oder mehr Proben anschauen.  Wir verwenden die sehr spezielle F-Verteilung um das zu tun (F steht f\u00fcr "fabelhaft").';
catalog['You already know about area and perimeter of lots of shapes. Now we\'ll round out those concepts by applying them to circles. Mathematicians call the distance around a circle its circumference and the space inside a circle its area.\n \nIn this tutorial, we\'ll learn that there\'s another type of pi in the math world, and it\'s even more awesome than apple pie. We\'ll use pi to find the circumference and area of any circle in the world, no matter how big or how small!\n\nCommon Core Standards: 7.G.B.4'] = 'Wir kennen bereits Fl\u00e4che und Umfang von vielen Formen. Jetzt werden wir diese Konzepte auch auf Kreise anwenden. Mathematiker nennen den Weg um einen Kreis herum seinen Umfang und den Raum innerhalb eines Kreises seine Fl\u00e4che. \n \nIn diesem Tutorial erfahren wir, dass es ein Pi in der Mathe-Welt gibt, das noch toller ist als ein apple pie. Wir verwenden Pi um den Kreisumfang und die Kreisfl\u00e4che f\u00fcr alles in der Welt herauszufinden, egal wie gro\u00df oder wie klein! \n\nCommon Core Standards: 7.G.B.4';
catalog['You already know some basic algebra and you\'ve been exposed to units for some time now.  In this tutorial, we meld these two ideas to think about units within the context of algebraic expressions.'] = 'Du wei\u00dft bereits einiges \u00fcber grundlegende Algebra und du kennst Einheiten auch schon seit einiger Zeit.  In diesem Lernprogramm verschmelzen wir diese beiden Ideen dazu, um \u00fcberEinheiten als algebraische Ausdr\u00fccke nachzudenken.';
catalog['You already know what square roots and cube roots are, now you will apply that knowledge to simplify variable expressions that involve radicals.'] = 'Du weisst schon was Quadratwurzeln und Kubik-Wurzeln sind, jetzt werden wir dieses Wissen anwenden um Terme mit Wurzeln zu vereinfachen.';
catalog['You already understand the circular nature of the economy and how GDP is defined from the last tutorial.  Now let\'s think about how economists define the composition of GDP.  In particular, we\'ll focus on consumption (C), investment (I), government spending (G) and net exports.'] = 'You already understand the circular nature of the economy and how GDP is defined from the last tutorial.  Now let\'s think about how economists define the composition of GDP.  In particular, we\'ll focus on consumption (C), investment (I), government spending (G) and net exports.';
catalog['You already understand what scientific notation is.  Now you\'ll actually use it to compute values and solve real-world problems.'] = 'Du verstehst schon, was die wissenschaftliche Schreibweise ist. Jetzt wirst du sie tats\u00e4chlich anwenden, um Werte zu berechnen und Aufgaben aus dem wirklichen Leben zu l\u00f6sen.';
catalog['You already understand what scientific notation is.  Now you\'ll actually use it to compute values and solve real-world problems.\n\nCommon Core Standard: 8.EE.A.4'] = 'Du wei\u00dft schon, was eine wissenschaftliche Notation ist.  Jetzt nutzt du sie auch tats\u00e4chlich, um Werte zu berechnen und reale Probleme zu l\u00f6sen.\n\nCommon Core Standard: 8.EE.A. 4';
catalog['You are about to delete selected users, they will be permanently deleted.'] = 'You are about to delete selected users, they will be permanently deleted.';
catalog['You are about to move selected users to another group.'] = 'You are about to move selected users to another group.';
catalog['You are about to remove selected users from their current group.'] = 'You are about to remove selected users from their current group.';
catalog['You are absolutely tired of not knowing how to deal with equations that have absolute values in them.  Well, this tutorial might help.'] = 'Du bist es leid, nicht zu wissen wie du mit Gleichungen mit absoluten Werten umzugehen hast? Dieses Tutorial k\u00f6nnte dir helfen.';
catalog['You are already a part of this organization.'] = 'You are already a part of this organization.';
catalog['You are familiar with factoring quadratic expressions and solving quadratic equations.  Well, as you might guess, not everything in life has to be equal.\n\nIn this short tutorial we will look at quadratic inequalities.'] = 'Du bist schon mit der Faktorisierung und L\u00f6sung von quadratischen Termen und Gleichungen vertraut. Aber wie du dir schon gedacht hast, nicht Alles im Leben muss gleich sein. \nIn dieser kurzen Anleitung werden wir einen Blick auf quadratische Ungleichungen werfen.';
catalog['You are familiar with the ideas of slope and distance on the coordinate plane.  You also feel comfortable with congruence an similarity and many of the other core ideas in Euclidean geometry.  In this, tutorial, Descartes and Euclid are forced to work together as we tackle geometry problems on the coordinate plane!'] = 'Du bist vertraut mit den Ideen von Steigung und Abst\u00e4nden im Koordinatensystem.  Sie f\u00fchlst dich auch wohl mit Kongruenz und \u00c4hnlichkeit sowie vielen anderen Kern-Ideen in der euklidischen Geometrie.  In diesem Tutorial sind Descartes und Euklid gezwungen zusammen zu arbeiten, da wir Geometrieprobleme im Koordinatensystem angehen!';
catalog['You are not authorized to access this zone information.'] = 'You are not authorized to access this zone information.';
catalog['You are now familiar with the basic trig ratios.  We\'ll now use them to solve a whole bunch of real-world problems.  Seriously, trig shows up a lot in the real-world.'] = 'Du kennst nun die grundlegenden trigonometrischen Verh\u00e4ltnisse.  Wir verwenden sie nun um eine ganze Reihe von Problemen der realen Welt zu l\u00f6sen.  Im Ernst, Trigonometrie zeigt sich in der realen Welt oft.';
catalog['You are very familiar with taking the derivative of a function.  Now we are going to go the other way around--if I give you a derivative of a function, can you come up with a possible original function.  In other words, we\'ll be taking the anti-derivative!'] = 'Du kennst dich schon gut aus mit Ableitungen einer Funktion.  Jetzt gehen wir in die andere Richtung--wenn ich dir die Ableitung einer Funktion gebe, kannst du die   urspr\u00fcnglichen Funktionen ermitteln.  Mit anderen Worten, wir werden das Gegenteil der Ableitung vornehmen!';
catalog['You can add, subtract and multiply decimals.  You know you\'d feel a bit empty if you couldn\'t divide them as well. But something more powerful is going to happen.  If you are like us, you never quite liked those pesky remainders when dividing whole numbers.  Well, those pesky remainders better watch out because they are going to be divided too!!!! Ah ha ha ha ha!!!!!'] = 'Die kannst Dezialzahlen addieren, subtrahieren und multiplizieren. Dir w\u00fcrde sicher etwas fehlen, wenn du sie nicht auch noch teilen k\u00f6nntest. Aber es passiert sogar noch etwas aufregenderes. Wenn du bist wie wir, dann wirst du diese l\u00e4stigen Reste beim Teilen ganzer Zahlen nie wirklich gemocht haben. Und genau diesen l\u00e4stigen Resten geht es jetzt an den Kragen, den sie werden auch geteilt werden!!! Ah ha ha ha ha!!!!!';
catalog['You can figure out the derivative of f(x).  You\'re also good for g(x).  But what about f(x) times g(x)?  This is what the product rule is all about. \n\nThis tutorial is all about the product rule.  It also covers the quotient rule (which really is just a special case of the product rule).'] = 'Du kannst die Ableitung von f(x) ermitteln.  Du kannst das auch f\u00fcr g(x).  Aber was ist mit f(x) mal g(x)?  Dies ist die Produkt-Regel. \n\nIn diesem Tutorial dreht sich alles um die Produkt-Regel.  Das deckt auch die Quotienten-Regel ab (die tats\u00e4chlich nur ein Spezialfall der Produkt-Regel ist).';
catalog['You can get started with this simple design, then add your own complexity after!'] = 'You can get started with this simple design, then add your own complexity after!';
catalog['You can keep taking the powers of a binomial by hand, but, as we\'ll see in this tutorial, there is a much more elegant way to do it using the binomial theorem and/or Pascal\'s Triangle.'] = 'Du kannst die Potenz eines Binomis wie bisher per Hand ermitteln, aber - wie wir in diesem Tutorial sehen werden - gibt es einen viel eleganteren Weg daf\u00fcr mit Hilfe des binomischen Theorems und/oder Pascal\'schem Dreieck.';
catalog['You can make a simple battery, powerful enough to light an LED, with the change in your pockets!'] = 'You can make a simple battery, powerful enough to light an LED, with the change in your pockets!';
catalog['You can parameterize a line with a position vector valued function and understand what a differential means in that context already.  This tutorial will take things further by parametrizing surfaces (2 parameters baby!) and have us thinking about partial differentials.'] = 'You can parameterize a line with a position vector valued function and understand what a differential means in that context already.  This tutorial will take things further by parametrizing surfaces (2 parameters baby!) and have us thinking about partial differentials.';
catalog['You can solve a system of equations with either substitution or elimination.  This tutorial focuses with a ton of examples on elimination.  It is covered in other tutorials, but we give you far more examples here.  You\'ll learn best if you pause the videos and try to do the problem before Sal does.'] = 'Ein Gleichungssystem kann entweder durch Eliminiation oder Substitution gel\u00f6st werden. Dieses Tutorium enth\u00e4lt eine Reihe von Beispielen, die sich auf Elimination fokusieren. Das Thema wird auch in anderen Tutorien behandelt, aber hier erh\u00e4lst du bei weitem mehr Beispiele. Das beste Lernergebnis erzielst du, wenn du die Videos anh\u00e4lst und versuchst das Problem zu l\u00f6sen bevor Sal es tut.';
catalog['You can solve a system of equations with either substitution or elimination.  This tutorial focuses with a ton of examples on elimination. You\'ll learn best if you pause the videos and try to do the problem before Sal does.  Once you get a hang for things, feel free to skip forward to the exercises.\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b'] = 'Du kannst ein System von Gleichungen entweder mit Substitution oder Elimination l\u00f6sen.  In diesem Tutorial konzentrieren wir uns mit unz\u00e4hligen Beispielen auf Elimination. Am Meisten lernst du, wenn du das Videos anh\u00e4ltst und versuchst, das Problem zu l\u00f6sen, bevor Sal es tut.  Sobald du ein Gef\u00fchl bekommst, wie die Dinge funktionieren, kannst du auch gleich weiter zu den \u00dcbungen springen.\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b';
catalog['You can subtract 21 from 45, but are a bit perplexed trying to subtract 26 from 45 (how do you subtract the 6 in 26 from the 5 in 45).  This tutorial is your answer.  You\'ll see that we can essentially "regroup" the value in a number from one place to another to solve your problem.  This is also often called borrowing (although it is like "borrowing" sugar from your neighbor in that you never give it back).'] = 'Du kannst 21 von 45 subtrahieren, aber du bist ein bisschen ratlos, wenn du 26 von 45 zu subtrahieren versuchst (wie kann man die 6 in  26 von der 5 in 45 subtrahieren).  Dieses Tutorial gibt dir die Antwort. Du wirst im Wesentlichen den Wert einer Stelle zu einer anderen Stellen "\u00fcbertragen" um dein Problem zu l\u00f6sen. Das wirt oft auch Ausleihen genannt (es ist, wie Zucker von deinem Nachbarn "auszuleihen", nur dass du ihn nie wieder zur\u00fcck gibst).';
catalog['You can subtract 21 from 45, but are a bit perplexed trying to subtract 26 from 45 (how do you subtract the 6 in 26 from the 5 in 45). This tutorial is your answer. You\'ll see that we can essentially "regroup" the value in a number from one place to another to solve your problem. This is also often called borrowing (although it is like "borrowing" sugar from your neighbor in that you never give it back).\n\nCommon Core Standard: 3.NBT.A.2'] = 'Du kannst 21 von 45 subtrahieren, aber bist ein bisschen ratlos, wenn du 26 von 45 zu subtrahieren versuchst (wie kann man die 6 in 26 von der 5 in 45 subtrahieren).  Dieses Tutorial ist Deine Antwort. Du wirst im Wesentlichen den Wert einer Stelle zu einer anderen Stelle "\u00fcbertragen" um dein Problem zu l\u00f6sen. Das wird oft auch ausleihen genannt (so wie Zucker von deinem Nachbarn "ausleihen", nur das du ihn nie wieder zur\u00fcck gibst).\n\nCommon Core Standard: 3.NBT.A.2';
catalog['You can take the derivatives of f(x) and g(x), but what about f(g(x)) or g(f(x))?  The chain rule gives us this ability.  Because most complex and hairy functions can be thought of the composition of several simpler ones (ones that you can find derivatives of), you\'ll be able to take the derivative of almost any function after this tutorial.  Just imagine.'] = 'Du kannst die Ableitungen von f(x) und g(x) bilden, doch was ist mit f(g(x)) oder g(f(x))? Die Kettenregel macht es uns m\u00f6glich. Da sich die meisten komplexen und un\u00fcbersichtlichen Funktionen als Zusammenstellung mehrerer einfacherer Funktionen (die, deren Abbildungen du bilden kannst) darstellen lassen, wirst du nach diesem Tutorium in der Lage sein, nahezu jede Funktion abzuleiten. Stell dir das mal vor.';
catalog['You can use a transformation/function to map from one set to another, but can you invert it?  In other words, is there a function/transformation that given the output of the original mapping, can output the original input (this is much clearer with diagrams).  \n\nThis tutorial addresses this question in a linear algebra context.  Since matrices can represent linear transformations, we\'re going to spend a lot of time thinking about matrices that represent the inverse transformation.'] = 'You can use a transformation/function to map from one set to another, but can you invert it?  In other words, is there a function/transformation that given the output of the original mapping, can output the original input (this is much clearer with diagrams).  \n\nThis tutorial addresses this question in a linear algebra context.  Since matrices can represent linear transformations, we\'re going to spend a lot of time thinking about matrices that represent the inverse transformation.';
catalog['You cannot choose a facility outside of your own facility.'] = 'You cannot choose a facility outside of your own facility.';
catalog['You cannot choose a group outside of your group.'] = 'You cannot choose a group outside of your group.';
catalog['You cannot choose a user outside of yourself.'] = 'You cannot choose a user outside of yourself.';
catalog['You cannot choose facility/group-wide data.'] = 'You cannot choose facility/group-wide data.';
catalog['You cannot delete \'%(name)s\' because it has %(num_zones)s sharing network(s) affiliated with it.'] = 'You cannot delete \'%(name)s\' because it has %(num_zones)s sharing network(s) affiliated with it.';
catalog['You cannot delete this zone because it is syncing data with with %d device(s)'] = 'You cannot delete this zone because it is syncing data with with %d device(s)';
catalog['You cannot properly understand current world events without understanding the history of the 20th Century. This topic takes us on a journey from the end of Imperialism through two world wars and the Cold War and brings us to our modern world.'] = 'Sie k\u00f6nnen das aktuelle Weltgeschehen nicht richtig verstehen, ohne die Geschichte des 20. Jahrhunderts zu verstehen, . Dieser Kurs nimmt uns mit auf eine Reise vom Ende des Imperialismus durch zwei Weltkriege und den Kalten Krieg bis zu unserer modernen Welt.';
catalog['You could say that High Renaissance painters had achieved it all\u2014ideally beautiful, graceful figures, rational spaces, and unified compositions with dozens of figures. If you were a young artist in the early decades of the 1500s you might have felt that there was nothing left to accomplish! Renaissance art was always based on the visual world\u2014on representing things as we see them, but Mannerist art was more artificial, it looked to other art rather than to nature, and Mannerist artists purposely looked for complexity and difficulty to showcase their skills. Figures are elongated, the illusion of space that was so important for the Renaissance no longer makes sense, and the human body is often impossibly twisted.'] = 'You could say that High Renaissance painters had achieved it all\u2014ideally beautiful, graceful figures, rational spaces, and unified compositions with dozens of figures. If you were a young artist in the early decades of the 1500s you might have felt that there was nothing left to accomplish! Renaissance art was always based on the visual world\u2014on representing things as we see them, but Mannerist art was more artificial, it looked to other art rather than to nature, and Mannerist artists purposely looked for complexity and difficulty to showcase their skills. Figures are elongated, the illusion of space that was so important for the Renaissance no longer makes sense, and the human body is often impossibly twisted.';
catalog['You currently have no data available.'] = 'You currently have no data available.';
catalog['You currently have no devices that sync data with the central server'] = 'You currently have no devices that sync data with the central server';
catalog['You currently have no facilities that sync data with the central server.'] = 'You currently have no facilities that sync data with the central server.';
catalog['You currently have no facilities. Would you like to create a facility?'] = 'Du hast derzeit keine Einrichtungen. M\u00f6chtest Du eine Einrichtung anlegen?';
catalog['You currently have no facilities. Would you like to'] = 'Du hast derzeit keine Einrichtung. M\u00f6chtest Du ';
catalog['You don\'t have permissions to set the server\'s default language.'] = 'You don\'t have permissions to set the server\'s default language.';
catalog['You feel comfortable solving for an unknown.  But life is all about stepping outside of your comfort zone--it\'s the only way you can grow!  This tutorial takes solving equations to another level by making things a little more abstract.  You will now solve for a variable, but it will be in terms of other variables.  Don\'t worry, we think you\'ll find it quite therapeutic once you get the hang of it.'] = 'Du f\u00fchlst dich sicher beim Finden von Unbekannten. Aber im Leben muss man manchmal aus seiner Komfortzone heraustreten -- nur so kannst du wachsen! Dieses Tutorial bringt das L\u00f6sungen von Gleichungen auf ein h\u00f6heres Niveau, indem es Alles ein bisschen abstrakter macht. Du wirst nun nach einer Variable aufl\u00f6sen, aber im Verh\u00e4ltnis zu anderen Variablen. Aber mach dir keine Sorgen, wir denken, du wirst es recht therapeutisch finden, sobald du es verstanden hast.';
catalog['You feel comfortable with systems of equations, but you begin to realize that the world is not always fair.  Not everything is equal!  In this short tutorial, we will explore systems of inequalities.  We\'ll graph them.  We\'ll think about whether a point satisfies them.  We\'ll even give you as much practice as you need.  All for 3 easy installments of... just kidding, it\'s free (although the knowledge obtained in priceless).  A good deal if we say so ourselves!'] = 'Du f\u00fchlst dich sicher im Umgang mit Gleichungssystemen, aber die Welt ist nicht immer fair. Nicht alles ist gleich! In diesem kurzen Tutorial werden wir Systeme von Ungleichungen erforschen. Wir werden sie mathematisch zeichnen. Wir werden dar\u00fcber nachdenken, ob ein Punkt die Ungleichungen erf\u00fcllt. Wir werden dir sogar soviel \u00dcbung geben, wie du brauchst. Das alles, f\u00fcr nur ... nur ein Scherz, es ist gratis (auch wenn das gewonnene Know-How unbezahlbar ist). Unserer Meinung nach ein unschlagbares Angebot!';
catalog['You feel good about your rapidly developing equation-solving ability.  Now you\'re ready to fully flex your brain.  \n\nIn this tutorial, we\'ll explore equations that don\'t look so simple at first, but that, with a bit of skill, we can turn into equations that don\'t cause any stress!  Have fun!'] = 'Du f\u00fchlst dich gut \u00fcber deine sich rasch entwickelnden F\u00e4higkeiten Gleichungen zu l\u00f6sen.  Jetzt bist du bereit, dein Gehirn auszuquetschen.  \n\nIn diesem Tutorial, erkunden wir Gleichungen, die auf den ersten Blick nicht so einfach sind, aber mit ein bisschen Geschick, k\u00f6nnen wir sie in Gleichungen umwandeln, die keinen Stress verursachen!  Viel Spass!';
catalog['You first learned about perimeter and area when you were in grade school.  In this tutorial, we will revisit those ideas with a more mathy lense.  We will use our prior knowledge of congruence to really start to prove some neat (and useful) results (including some that will be useful in our study of similarity).'] = 'Du hast in der Grundschule das erste Mal vom Umfang und Fl\u00e4cheninhalt geh\u00f6rt. In diesem Tutorial beleuchtest du diese Ideen noch einmal in einem eher mathematischen Licht. Du wirst dein Vorwissen \u00fcber Kongruenz nutzen um damit zu beginnen, einige tolle (und n\u00fctzliche) Ergebnisse zu beweisen (einschlie\u00dflicher solcher, die beim Studium der \u00c4hnlichkeit n\u00fctzlich werden).';
catalog['You get a rational expression when you divide one polynomial by another.  If you have a good understanding of factoring quadratics, you\'ll be able to apply this skill here to help realize where a rational expression may not be defined and how we can go about simplifying it.'] = 'Wenn man ein Polynom durch ein Anderes teilt, erh\u00e4lt man eine rationale Funktion. Wenn du das Faktorisieren von quadratischen Funktionen gut verstanden hast, kannst du dein K\u00f6nnen hier anwenden, um herauszufinden, an welchen Stellen eine rationale Funktion nicht definiert sein k\u00f6nnte und wie man sie vereinfachen kann.';
catalog['You get the general idea of decimal is and what the digits in different places represent (place value).  Now you\'re ready to do something with the decimals.  Adding and subtracting is a good place to start.  This will allow you to add your family\'s expenses to figure out if your little brother is laundering money (perhaps literally).  Have fun!'] = 'Du hast schon eine Ahnung davon, was eine Dezimalzahl ist und was die Ziffern an den verschiedenen Stellen bedeuten (Stellenwert). Jetzt bist du bereit, etwas mit diesen Zahlen anzufangen. Addieren und subtrahieren ist ein guter Anfang. Du k\u00f6nntest zum Beispiel die Ausgaben deiner Familie zusammenrechnen und herausfinden, ob dein kleiner Bruder ein Geldw\u00e4scher ist (vielleicht im w\u00f6rtlichen Sinn). Viel Spa\u00df!';
catalog['You get the general idea of decimal is and what the digits in different places represent (place value). Now you\'re ready to do something with the decimals. Adding and subtracting is a good place to start. This will allow you to add your family\'s expenses to figure out if your little brother is laundering money (perhaps literally). Have fun!\n\nCommon Core Standard: 5.NBT.B.7'] = 'Du bekommst ein ungef\u00e4hre Vorstellung davon, was eine Dezimalzahl ist und was die Ziffern an verschiedenen Stellen darstellen (Stellenwert). Jetzt bist du bereit, etwas mit den Dezimalzahlen zu anzustellen. Addieren und Subtrahieren sind ein guter Einstieg. Das wird dir erm\u00f6glichen, die Ausgaben deiner Familie herauszufinden, wenn dein kleiner Bruder Geld w\u00e4scht (vielleicht im w\u00f6rtlichen Sinne). Viel Spa\u00df!\n\nCommon Core Standard: 5.NBT.B.7';
catalog['You get the general idea that taking a definite integral of a function is related to evaluating the antiderivative, but where did this connection come from.  This tutorial focuses on the fundamental theorem of calculus which ties the ideas of integration and differentiation together.  We\'ll explain what it is, give a proof and then show examples of taking derivatives of integrals where the Fundamental Theorem is directly applicable.'] = 'You get the general idea that taking a definite integral of a function is related to evaluating the antiderivative, but where did this connection come from.  This tutorial focuses on the fundamental theorem of calculus which ties the ideas of integration and differentiation together.  We\'ll explain what it is, give a proof and then show examples of taking derivatives of integrals where the Fundamental Theorem is directly applicable.';
catalog['You have a basic understanding of what a limit is.  Now, in this tutorial, we can explore situation where we take the limit as x approaches negative or positive infinity (and situations where the limit itself could be unbounded).'] = 'Sie haben ein grundlegendes Verst\u00e4ndnis, was ein Limus ist.  In diesem Tutorium k\u00f6nnen wir jetzt Beispiele uns Anschauen wo wir die den Limus nehmen, wenn x richtung positv oder negative unendlich gebracht wird  (und Beispiele nehmen, wo der Limus selbst unbegrenzt ist).';
catalog['You have already been exposed to dividing decimals in the 5th grade.  Now we\'ll make sure that you\'re a pro at it!'] = 'Du hast dich bereits in der 5. Klasse mit Dezimalzahlen besch\u00e4ftigt.  Jetzt werden wir sicherstellen, dass du ein Profi darin bist!';
catalog['You have already sent an invitation email to this user.'] = 'You have already sent an invitation email to this user.';
catalog['You have declined to join '] = 'You have declined to join ';
catalog['You have joined '] = 'You have joined ';
catalog['You have mastered this exercise!'] = 'You have mastered this exercise!';
catalog['You have probably been wondering whether our powers of algebraic problem solving break down if we divide by the variable or we have entire expressions in denominator of a fraction.  Well, they don\'t!   In this topic, you\'ll learn how to interpret and manipulate  rational expressions (when you have one algebraic expression divided by another)!'] = 'Du hast dich wahrscheinlich schon gefragt, ob unsere F\u00e4higkeiten algebraische Aufgaben zu l\u00f6sen zusammenbrechen, wenn wir durch eine Variable teilen oder wenn wir ganze Ausdr\u00fccke im Nenner eines Bruchs haben. Nun, nein das tuen sie nicht. In diesem Themengebiet wirst du lernen, wie du rationale Terme manipulieren kannst (wenn ein algebraischer Ausdruck durch einen Anderen geteilt wird) !';
catalog['You have successfully deleted %(org_name)s.'] = 'You have successfully deleted %(org_name)s.';
catalog['You have successfully deleted '] = 'You have successfully deleted ';
catalog['You have successfully removed '] = 'You have successfully removed ';
catalog['You have successfully revoked the invitation for '] = 'You have successfully revoked the invitation for ';
catalog['You know a bit about slope and intercepts.  Now we will develop that know-how even further to construct the equation of a line in slope-intercept form.\n\n'] = 'Du kennst dich schon ein bisschen aus mit Steigung und Schnittpunkt mit der Y-Achse.  Jetzt werden wir dieses Know-how noch weiterentwickeln um die Gleichung einer Geraden in Steigung-Schnittpunktform zu konstruieren.\n\n';
catalog['You know a function when you see one, but are curious to start looking deeper at their properties. Some functions seem to be mirror images around the y-axis while others seems to be flipped mirror images while others are neither. How can we shift and reflect them?  \n\nThis tutorial addresses these questions by covering even and odd functions.  It also covers how we can shift and reflect them.  Enjoy!'] = 'Du erkennst eine Funktion, wenn sie vor dir steht, aber du bist Neugierig, welche Eigenschaften sie noch haben k\u00f6nnten. Einige Funktionen scheinen an der Y-Achse gespiegelt zu sein, w\u00e4hrend andere um den Ursprung gedreht sind. Wieder Andere haben keine dieser Eigenschaften. Wie kann man sie verschieben und umdrehen??\n\nDieses Tutorial beantwortet diese Fragen indem wir gerade und ungerade Funktionen unter die Lupe nehmen. Au\u00dferdem zeigt es, wie man sie verschiebt und umdreht.';
catalog['You know a good bit about taking Laplace transform and useful properties of the transform.  You are dying to actually apply these skills to an actual differential equation.  Wait no longer!'] = 'Du wei\u00dft schon einiges \u00fcber die Laplace-Transformation und n\u00fctzliche Eigenschaften der Transformation.  Du bist jetzt ganz wild darauf, dein F\u00e4higkeiten bei einer tats\u00e4chlichen Differentialgleichung anzuwenden.  Warte nicht l\u00e4nger darauf!';
catalog['You know a lot of math already.  Let\'s now apply it to make sense of real-world situations and patterns.'] = 'Du weisst bereits viel \u00fcber Mathe.  Jetzt wenden wir das einmal an, damit reale Situationen und Muster Sinn ergeben.';
catalog['You know about inflation, but now want to look at how thing might play out in different scenarios.  This tutorial focuses on when inflation is "acceptable" and when it isn\'t (and the causes and repercussions).'] = 'You know about inflation, but now want to look at how thing might play out in different scenarios.  This tutorial focuses on when inflation is "acceptable" and when it isn\'t (and the causes and repercussions).';
catalog['You know how to add and subtract whole numbers like 7 and 42, but fractions are numbers too. And just like whole numbers, you can add and subtract them. This tutorial will show you how!\n\nCommon Core Standards: 7.NS.A.1'] = 'Du wei\u00dft, wie man ganze Zahlen wie 7 und 42 addiert und subtrahiert , aber Br\u00fcche sind auch Zahlen. Und genau wie ganze Zahlen, kann man sie addieren und subtrahieren. Dieses Tutorial zeigt dir wie das geht! \n\n Common Standards: 7.NS.A. 1';
catalog['You know how to add multi-digit numbers from the 3rd grade.  Now we will give you even more practice (and tackle even larger numbers)!\n\nCommon Core Standard: 4.NBT.B.4'] = 'Aus der 3. Klasse wei\u00dft du, wie man mehrstellige Zahlen addiert. Jetzt geben wir dir noch mehr \u00dcbung (und nehmen noch gr\u00f6\u00dfere Zahlen in Angriff)!\n\nCommon Core Standard: 4.NBT.B.4';
catalog['You know how to find factors of a number.  But what about factors that are common to two numbers?  Even better, imagine the largest factors that are common to two numbers.   I know.  Too exciting!'] = 'Du wei\u00dft, wie man die Teiler einer Zahl findet. Aber was ist mit den gemeinsamen Teilern zweier Zahlen sind? Noch besser, was ist der gr\u00f6\u00dfte gemeinsame Teiler zweier Zahlen? Ich wei\u00df. Aufregend!';
catalog['You know how to find factors of a number. But what about factors that are common to two numbers? Even better, imagine the largest factors that are common to two numbers. I know. Too exciting!\n\nCommon Core Standard: 6.NS.B.4\t'] = 'Du weisst, wie man die Faktoren einer Zahl findet. Aber was ist mit Faktoren, die zwei Zahlen gemeinsam haben? Noch besser, stell dir die gr\u00f6\u00dften Faktoren vor, die zwei Zahlen gemeinsam haben. Ich wei\u00df. Sehr aufregend! \n\nCommon Core Standard: 6.NS.B.4\t';
catalog['You know how to solve systems of equations (for the most part).  This tutorial will take things a bit deeper by exploring cases when you might have no solutions or an infinite number of them.'] = 'Du wei\u00dft (zum gr\u00f6\u00dften Teil), wie man Gleichungssysteme l\u00f6st. Dieses Tutorial geht ein bisschen tiefer in die Materie durch die Erforschung von F\u00e4llen, in denen du keine L\u00f6sungen hast - oder unendlich viele.';
catalog['You know how to solve systems of equations (for the most part).  This tutorial will take things a bit deeper by exploring cases when you might have no solutions or an infinite number of them.\n\nCommon Core Standards: 8.EE.C.8, 8.EE.C.8b'] = 'Du wei\u00dft, wie man Gleichungssysteme l\u00f6st (zum gr\u00f6\u00dften Teil).  Dieses Tutorial geht ein bisschen tiefer und untersucht F\u00e4lle, bei denen es keine L\u00f6sung oder unendliche viele gibt.\n\nCommon Core Standards: 8.EE.C. 8, 8.EE.C.8b';
catalog['You know how to use definite integrals to find areas under curves.  We now take that idea for "spin" by thinking about the volumes of things created when you rotate functions around various lines. \n\nThis tutorial focuses on the "disc method" and the "washer method" for these types of problems.'] = 'You know how to use definite integrals to find areas under curves.  We now take that idea for "spin" by thinking about the volumes of things created when you rotate functions around various lines. \n\nThis tutorial focuses on the "disc method" and the "washer method" for these types of problems.';
catalog['You know how to use the definition of the Laplace transform.  In this tutorial, we\'ll explore some of the properties of the transform that will start to make it clear why they are so useful for differential equations.\n\nThis tutorial is paired well with the tutorial on using the "Laplace transform to solve differential equations".  In fact you  might come back to this tutorial over and over as you solve more and more problems.'] = 'Du weisst die Definition der Laplace-Transformation zu verwenden.  In diesem Tutorial werden wir einige der Eigenschaften der Transformation untersuchen, damit klar wird, warum sie so n\u00fctzlich sind f\u00fcr Differenzialgleichugnen.\n\nDiese Tutorial erg\u00e4nzt sich mit dem Tutorial zur Verwendung der "Laplace-Transformation zur L\u00f6sung von Differentialgleichungen".  In der Tat kannst du dir dieses Tutorial immer und immer wieder ansehen, wenn du mehr und mehr Probleme l\u00f6sen kannst.';
catalog['You know that a circle can be viewed as the set of all points that whose distance from the center is equal to the radius.  In this tutorial, we use this information and the Pythagorean Theorem to derive the equation of a circle.'] = 'Du weisst, das ein Kreis als Menge von Punkten betrachtet werden kann, deren Abstand von der Mitte gleich dem Radius ist.  In diesem Tutorial verwenden wir diese Informationen und Satz des Pythagoras um die Gleichung eines Kreises abzuleiten.';
catalog['You know that converting a fraction into a decimal can sometimes result in a repeating decimal.  For example: 2/3 = 0.666666..., and 1/7 = 0.142857142857... \n\nBut how do you convert a repeating decimal into a fraction?  As we\'ll see in this tutorial, a little bit of algebra magic can do the trick!'] = 'Du wei\u00dft bereits, dass wenn man einen Bruch in eine Dezimalzahl umwandelt, dabei manchmal eine periodische Dezimalzahl entsteht. Zum Beispiel: 2/3=0.6666666..., und 1/7=0.142857142857...\n\nAber wie rechnet man eine periodische Dezimalzahl in einen Bruch um? Wie wir in diesem Tutorial sehen werden, recht uns daf\u00fcr ein bisschen Algebramagie aus.';
catalog['You know that fractions, decimals and percentages are all ways to represent rational numbers.  In this tutorial, you\'ll take things to the next level by using these representations together to solve problems.\n\nCommon Core Standards 7.NS.A.3'] = 'Du wei\u00dft, dass Br\u00fcche, Dezimalzahlen und Prozents\u00e4tze alle M\u00f6glichkeiten sind, um rationalen Zahlen darzustellen.  In diesem Tutorial gehst du einen Schritt weiter und verwendest sie zum L\u00f6sen von Problemen.\n\nCommon Core Standards 7.NS.A. 3';
catalog['You know that the Federal Reserve (or central banks in general) controls the money supply and short-term interest rates.  But how exactly do they do this.  Even more, how is "quantitative easing" different than regular open market operations.\n\nThis tutorial explains it all in the context of the Federal Reserves attempts to stave off deflation during the 2008-2012 recession.'] = 'You know that the Federal Reserve (or central banks in general) controls the money supply and short-term interest rates.  But how exactly do they do this.  Even more, how is "quantitative easing" different than regular open market operations.\n\nThis tutorial explains it all in the context of the Federal Reserves attempts to stave off deflation during the 2008-2012 recession.';
catalog['You know the basics of what mixed numbers are.  You\'re now ready to add and subtract them.  This tutorial gives you plenty of examples and practice in this core skill!'] = 'Du kennst die Grundlagen von gemischten Zahlen. Du bist jetzt bereit sie zu addieren und subtrahieren. Dieses Tutorial gibt dir ganz viele Beispiele und \u00dcbungen f\u00fcr diese wichtige F\u00e4higkeit!';
catalog['You know the slope of a line and you know that it contains a certain point.  Well, in this tutorial, you\'ll see that you can quickly take this information (and that knowledge the definition of what slope is) to construct the equation of this line in point-slope form!  You\'ll also manipulate between point-slope, slope-intercept and standard form.'] = 'Du kennst die Steigung einer Geraden und wei\u00dft, dass sie einen bestimmten Punkt enth\u00e4lt. Nun, in dieser Anleitung wirst du sehen, dass man diese Informationen (und das Wissen dar\u00fcber, was eine Steigung ist) nutzen kannst, um die Gleichung dieser Geraden in Punkt-Steigungs-Form umzuschreiben. Au\u00dferdem wirst du Gleichungen zwischen Punkt-Steigungs-Form, Achsenabschnittsform und Standardform umschreiben.';
catalog['You know what Nash equilibrium is (from the other tutorial).  Now we apply it to a scenario that is fairly realistic--parties to a cartel cheating.\n\nA cartel is a group of actors that agree (sometimes illegally) to coordinate their production/pricing to maximize their collective economic profit.  What we will see, however, is that this is not a "Pareto optimal" state and they will soon start producing more than agreed on.'] = 'You know what Nash equilibrium is (from the other tutorial).  Now we apply it to a scenario that is fairly realistic--parties to a cartel cheating.\n\nA cartel is a group of actors that agree (sometimes illegally) to coordinate their production/pricing to maximize their collective economic profit.  What we will see, however, is that this is not a "Pareto optimal" state and they will soon start producing more than agreed on.';
catalog['You know what Stokes\' theorem is and how to apply it, but are craving for some real proof that it is true.  Well, you\'ve found the right tutorial!'] = 'Du wei\u00dft, was der Satz von Stokes ist  und wie du ihn anwendest, aber sehnst dich nach einem realen Beweis, dass er stimmt.  Nun, bei diesem Tutorial bist du richtig!';
catalog['You know what a fraction is and are now eager to apply this knowledge to real-world situations (especially ones where the denominators aren\'t equal)?  Well, you\'re about to see that adding and subtracting fractions is far more powerful (and fun) then you\'ve ever dreamed possible!'] = 'Du wei\u00dft, was ein Bruch ist und bist nun gespannt darauf, dieses Wissen in realen Situationen (vor allem denjenigen, wo die Nenner nicht gleich sind) anzuwenden?  Nun, du wirst sehen, dass das addieren und subtrahieren von Br\u00fcchen viel m\u00e4chtiger ist (und mehr Spa\u00df macht), als du dir je hast tr\u00e4umen lassen!';
catalog['You know what a fraction is and are now eager to apply this knowledge to real-world situations? Well, you\'re about to see that adding and subtracting fractions is far more powerful (and fun) then you\'ve ever dreamed possible!'] = 'Du wei\u00dft, was ein Bruch ist und bist nun begierig darauf, dieses Wissen auf Situationen des wirklichen Lebens anzuwenden? Nun, du wirst gleich sehen, dass das Addieren und Subtrahieren viel m\u00e4chtiger ist (und viel mehr Spa\u00df macht) als du dir das je ertr\u00e4umt h\u00e4ttest!';
catalog['You know what a fraction is and are now eager to apply this knowledge to real-world situations? Well, you\'re about to see that adding and subtracting fractions is far more powerful (and fun) then you\'ve ever dreamed possible!\n\nCommon Core Standard: 5.NF.A.2'] = 'Du wei\u00dft, was ein Bruch ist und bist jetzt begierig darauf, dieses Wissen in Situationen des echten Lebens anzuwenden? Du wirst sehen, dass das Addieren und Subtrahieren von Br\u00fcchen viel m\u00e4chtiger ist (und viel mehr Spa\u00df macht) als du dir je ertr\u00e4umt h\u00e4ttest!\n\nCommon Core Standard: 5.NF.A.2';
catalog['You know what a matrix is, how to add them and multiply them by a scalar.  Now we\'ll define multiplying one matrix by another matrix.  The process may seem bizarre at first (and maybe even a little longer than that), but there is a certain naturalness to the process.  When you study more advanced linear algebra and computer science, it has tons of applications (computer graphics, simulations, etc.)'] = 'Du wei\u00dft, was eine Matrix ist, wie man sie addiert und wie man sie mit einem Skalar multipliziert.  Jetzt werden wir die Multiplikation einer Matrix mit einer anderen Matrix definieren. Der Prozess mag zun\u00e4chst (und vielleicht sogar ein wenig l\u00e4nger) komisch wirken, aber er folgt einer gewissen Nat\u00fcrlichkeit.  Wenn du komplexere lineare Algebra und Informatik studierst, hat es jede Menge Anwendungen (Computergrafiken, Simulationen usw.)';
catalog['You know what imaginary and complex numbers are, but want to start digging a bit deeper.  In this tutorial, we will explore different ways of representing a complex number and mapping them on the complex plane.'] = 'You know what imaginary and complex numbers are, but want to start digging a bit deeper.  In this tutorial, we will explore different ways of representing a complex number and mapping them on the complex plane.';
catalog['You know what polynomials are.  You know how to add, subtract, and multiply them.  Unless you are completely incurious, you must be wondering how to divide them!\n\nIn this tutorial we\'ll explore how we divide polynomials--both through algebraic long division and synthetic division. (We like classic algebraic long division more since you can actually understand what you\'re doing.)'] = 'Du wei\u00dft, was Polynome sind. Du wei\u00dft, wie man sie addiert, subtrahiert und multipliziert. Aber wie dividiert man sie? Das interessiert dich bestimmt.\n\nIn diesem Tutorial schauen wir uns an, wie man Polynome dividiert - sowohl mit algebraisch langer Division wie mit synthetischer Division. (Wir m\u00f6gen allerdings die algebraische lange Division lieber, weil du damit besser verstehst, was du tust.)';
catalog['You know what prime numbers are and how to identify them.  In this tutorial, we\'ll see that *all* positive whole numbers can be broken down into products of prime numbers (In some way, prime numbers are the "atoms" of the number world that can be multiplied to create any other number).  Besides being a fascinating idea, it is also extremely useful.  Prime factorization can be used to decrypt encrypted information!'] = 'Du wei\u00dft, was die Primzahlen sind und wie du sie erkennen kannst. In diesem Tutorial werden wir sehen, dass *alle* positive ganzen Zahlen in ein Produkt von Primzahlen zerlegt werden k\u00f6nnen (In gewisser Weise sind die Primzahlen die "Atome" der Zahlenwelt. Du kannst alle andere Zahlen aus Primzahlen zusammenbasteln mit Hilfe der Multiplikation.) Au\u00dferdem kann die Primzahlfaktorisierung zur Decodierung verschl\u00fcsselter Informationen verwendet werden!\n             ';
catalog['You know what the divergence theorem is, you can apply it and you conceptually understand it.  This tutorial will actually prove it to you (references types of regions which are covered in the "types of regions in 3d" tutorial.'] = 'You know what the divergence theorem is, you can apply it and you conceptually understand it.  This tutorial will actually prove it to you (references types of regions which are covered in the "types of regions in 3d" tutorial.';
catalog['You know your multiplication tables (and basic division) from the 3rd grade and are ready to learn how to multiply and divide multi-digit numbers.  Imagine the possibilities!  This tutorial will make you unstoppable.\n\nCommon Core Standard: 4.NBT.B.5\t'] = 'Du kennst deine Multiplikationstabellen (und Grundlagen der Division) der 3. Klasse und bist bereit zu lernen, wie man mehrstelligen Zahlen multipliziert und dividiert.  Stell dir vor, welche M\u00f6glichkeiten das er\u00f6ffnet! Mit diesem Lernprogramm bist du nicht mehr aufzuhalten.\n\nCommon Core Standard: 4.NBT.B.5\t';
catalog['You know your multiplication tables and are getting the hang of basic division.  In this tutorial, we will journey into the world of loooong division (sometimes, referred to as "long division", but that\'s not as much fun to say).\n\nAfter this tutorial, you\'ll be able to divide any whole number by any other.  The fun will not stop!'] = 'Du kennst das 1x1 und bist vertraut mit den Grundlagen des Teilens. In diesem Tutorial, werden wir eine Reise machen in die Welt der groooooo\u00dfen Zahlen. \n\nNach diesem Tutorial, wirst du jede beliebige ganze Zahl durch eine andere teilen k\u00f6nnen. Das bedeutet unendlichen Spa\u00df!';
catalog['You know your multiplication tables and are getting the hang of basic division. In this tutorial, we will journey into the world of loooong division (sometimes, referred to as "long division", but that\'s not as much fun to say). After this tutorial, you\'ll be able to divide any whole number by a single digit number. You\'ll also see that sometimes things don\'t divide evenly and you\'ll be left with a remainder. The fun will not stop!\n\nCommon Core Standard: 4.NBT.B.6\t'] = 'Du kennst deine Multiplikationstabellen und bekommst den Dreh mit der Division heraus. In diesem Tutorial reisen wir in die Welt der laaaangen Division (manchmal auch als "lange Division" bezeichnet, aber das klingt nicht halb so lustig). Nach diesem Tutorial wirst du in der Lage sein, eine beliebige ganze Zahl durch eine einstelligen Zahl zu teilen. Du wirst auch sehen, dass manchmal Dinge sich nicht komplett teilen lassen und ein Rest \u00fcbrig bleibt. Der Spa\u00df h\u00f6rt nicht! \n\nCommon Core Standard: 4.NBT.B.6\t';
catalog['You know your multiplication tables and are ready to learn how to multiply *any* number (actually, any whole number).  Imagine the possibilities!  This tutorial will make you unstoppable.'] = 'Du kennst das Einmaleins und bist jetzt bereit zu lernen, wie man jede beliebige Zahl (genauer gesagt, jede ganze Zahl) multipliziert. Stell dir deine k\u00fcnftigen M\u00f6glichkeiten vor! Dieses Tutorial wird dich unaufhaltsam voranbringen.';
catalog['You know your regular trig functions that are defined with the help of the unit circle.  We will now define a new class of functions constructed from exponentials that have an eery resemblance to those classic trig functions (but are still quite different).'] = 'You know your regular trig functions that are defined with the help of the unit circle.  We will now define a new class of functions constructed from exponentials that have an eery resemblance to those classic trig functions (but are still quite different).';
catalog['You made it!  Last section.. you\'re so close to finishing your brush up.  You often use arithmetic to apply these basic statistics concepts. \n'] = 'You made it!  Last section.. you\'re so close to finishing your brush up.  You often use arithmetic to apply these basic statistics concepts. \n';
catalog['You may think you can talk to the animals, but our ability to use language separates us from other species. Without it, we wouldn\u2019t have the talent for collective learning that allows us to dominate the biosphere.'] = 'You may think you can talk to the animals, but our ability to use language separates us from other species. Without it, we wouldn\u2019t have the talent for collective learning that allows us to dominate the biosphere.';
catalog['You might be surprised to realize that only two countries in the world use feet, miles, or yards or a bunch of other "English System" conventions  (the irony being that the English don\'t even use the "English System" any more).   Everyone else, including the English, now use the metric system which is actually much more logical.\n\nLearn about kilo and milli and centi and become a metric unit megastar!'] = 'Als Europ\u00e4er sind wir das Metrische System gewohnt, um L\u00e4nge, Masse und dergleichen anzugeben. Und wie sieht es in den anderen Teilen der Welt aus?\nWie viel ist ein Yard, eine Meile oder ein Fu\u00df (ja, ein Fu\u00df)? Alles Einheiten des "Englischen Systems", das ironischerweise nichtmal mehr von den Engl\u00e4ndern benutzt wird, da das metrische System einfach wesentlich logischer ist.\n\nMach dich also darauf gefasst dieser Logik zu folgen und lerne Kilo und Milli und Centi kennen und werde ein Megastar f\u00fcr metrische Einheiten!';
catalog['You must acknowledge having read these terms.'] = 'You must acknowledge having read these terms.';
catalog['You must be logged in as a student or teacher to view/save progress.'] = 'You must be logged in as a student or teacher to view/save progress.';
catalog['You must be logged in as a superuser to access this endpoint.'] = 'You must be logged in as a superuser to access this endpoint.';
catalog['You must be logged in as an admin to access this page.'] = 'Sie m\u00fcssen als Administrator angemeldet sein, um auf diese Seite zugreifen zu k\u00f6nnen.';
catalog['You must be logged in to access this page.'] = 'Sie m\u00fcssen angemeldet sein, um auf diese Seite zugreifen zu k\u00f6nnen.';
catalog['You must be logged in with an account authorized to view this page.'] = 'You must be logged in with an account authorized to view this page.';
catalog['You must first have the administrator of this server log in below to add a facility.'] = 'Um eine Einrichtung hinzuzuf\u00fcgen muss der Administrator dieser Server zuerst unten einloggen.';
catalog['You must select a valid Zone.'] = 'You must select a valid Zone.';
catalog['You must select a zone from the given choices.'] = 'You must select a zone from the given choices.';
catalog['You must specify an email address.'] = 'You must specify an email address.';
catalog['You probably like triangles.  You think they are useful.  They show up a lot.  What you\'ll see in this topic is that they are far more magical and mystical than you ever imagined!'] = 'Wahrscheinlich magst du Dreiecke. Du glaubst, dass sie n\u00fctzlich sind. Man sieht sie \u00fcberall. In diesem Themengebiet wirst du sehen, dass sie noch wesentlich magischer und mystischer sind, als du dir je vorgestellt hast!';
catalog['You probably remember how to multiply matrices from high school, but didn\'t know why or what it represented.  This tutorial will address this.  You\'ll see that multiplying two matrices can be view as the composition of linear transformations.'] = 'Vielleicht erinnerst du dich von aus deiner Schulzeit daran wie man Matrizen multipliziert, wusstest aber damals nicht warum oder was es repr\u00e4sentiert. In dieser \u00dcbung wird dies klarer werden. Du wirst sehen, dass die Multiplikation zweier Matrizen auch als Zusammensetzung linearer Transformationen betrachtet werden kann.';
catalog['You remember a thing or two about ratios and proportions from you pre-algebra days.  Well, how can we use these same ideas to solve problems in algebra.\n\nThis tutorial re-introduces ratios in an algebraic context and helps us solve some awesome problems!'] = 'Du erinnerst Dich sicher an ein paar Dinge \u00fcber Verh\u00e4ltnisse und Proportionen aus Deiner Zeit vor Algebra. Nun, wie k\u00f6nnen wir diese Ideen nutzen um Probleme der Algebra zu l\u00f6sen? \n\n Dieses Tutorial f\u00fchrt Verh\u00e4ltnisse im algebraischen Kontext neu ein und hilft uns tolle Probleme zu l\u00f6sen!';
catalog['You requested device information for a device without a zone.  Only super users can do this!'] = 'You requested device information for a device without a zone.  Only super users can do this!';
catalog['You requested facility information for a facility with no zone.  Only super users can do this!'] = 'You requested facility information for a facility with no zone.  Only super users can do this!';
catalog['You requested information for a user that you are not authorized to view.'] = 'You requested information for a user that you are not authorized to view.';
catalog['You requested information from an organization that you\'re not authorized on.'] = 'You requested information from an organization that you\'re not authorized on.';
catalog['You saw very basic equations in 6th grade.  Now we\'ll step things up a bit (literally), by tackling 2-step equations.  Yee-Hah!\n\nCommon Core Standard: 7.EE.B.4'] = 'In der 6. Klasse hast du sehr grundlegende Gleichungen gesehen.  Jetzt werden wir (buchst\u00e4blich) eine Stufe weiter gehen und 2-stufige Gleichungen angehen.  Yee-ha! \n\nCommon Core Standard: 7.EE.B. 4';
catalog['You started first solving equations in sixth and seventh grade.  You\'ll now extend this skill by tackling fancier equations that have variables on both sides.\n\nCommon Core Standards: 8.EE.C.7, 8.EE.C.7b'] = 'Du hast  in der sechsten und siebten Klasse begonnen, Gleichungen zu l\u00f6sen.  Du wirst jetzt diese F\u00e4higkeit erweitern, indem du dich an ausgefalleneren Gleichungen versuchst, die Variablen auf beiden Seiten haben.\n\nCommon Core Standards : 8.EE.C. 7, 8.EE.C.7b';
catalog['You successfully created user \'%s\''] = 'You successfully created user \'%s\'';
catalog['You successfully registered.'] = 'You successfully registered.';
catalog['You successfully updated your user settings.'] = 'You successfully updated your user settings.';
catalog['You understand demand and supply.  This tutorial puts it all together by thinking about where the two curves intersect.  This point represents the equilibrium price and quantity which is, in an ideal world, where the market would transact.'] = 'You understand demand and supply.  This tutorial puts it all together by thinking about where the two curves intersect.  This point represents the equilibrium price and quantity which is, in an ideal world, where the market would transact.';
catalog['You understand that a derivative can be viewed as the slope of the tangent line at a point or the instantaneous rate of change of a function with respect to x.  This tutorial will deepen your ability to visualize and conceptualize derivatives through videos and exercises.\n\nWe think you\'ll find this tutorial incredibly fun and satisfying (seriously).'] = 'You understand that a derivative can be viewed as the slope of the tangent line at a point or the instantaneous rate of change of a function with respect to x.  This tutorial will deepen your ability to visualize and conceptualize derivatives through videos and exercises.\n\nWe think you\'ll find this tutorial incredibly fun and satisfying (seriously).';
catalog['You understand that negative numbers represent how far we are "below zero".  Now you are ready to add and subtract them!  In this tutorial, we will explain, give examples, and give practice adding and subtracting negative numbers.  \n\nThis is a super-important concept for the rest of your mathematical career so, no pressure, learn it as well as you can!'] = 'Du verstehst schon, dass negative Zahlen beschreiben, wie weit wir "unter Null" sind. Jetzt bist du bereit, mit diesen Zahlen zu addieren und zu subtrahieren. In diesem Tutorial werden wir das erkl\u00e4ren, Beispiele bearbeiten und \u00fcben.\n\nDas ist super-wichtig f\u00fcr deinen Weiterkommen in der Mathematik, deshalb nimm dir Zeit und lerne das so genau wie nur m\u00f6glich!';
catalog['You understand that negative numbers represent how far we are "below zero".  Now you are ready to add and subtract them! In this tutorial, we will explain, give examples, and give practice adding and subtracting negative numbers.  \n\nThis is a super-important concept for the rest of your mathematical career so, no pressure, learn it as well as you can!\n\nCommon Core Standards: 7.NS.A.1, 7.NS.A.1b, 7.NS.A.1c, 7.NS.A.1d'] = 'Du verstehst schon, dass negative Zahlen beschreiben, wie weit wir "unter Null" sind. Jetzt bist du bereit, mit diesen Zahlen zu addieren und zu subtrahieren. In diesem Tutorial werden wir das erkl\u00e4ren, Beispiele geben und das Addieren und Subtrahieren von negativen Zahlen \u00fcben.\n\nDas ist super-wichtig f\u00fcr dein Weiterkommen in der Mathematik, deshalb nimm dir Zeit und lerne das so genau wie nur m\u00f6glich.\n\nCommon Core Standards: 7.NS.A.1, 7.NS.A.1b, 7.NS.A.1c, 7.NS.A.1d';
catalog['You understand velocity and acceleration well in one-dimension.  Now we can explore scenarios that are even more fun.  With a little bit of trigonometry (you might want to review your basic trig, especially what sin and cos are), we can think about whether a baseball can clear the "green monster" at Fenway Park.'] = 'Du verstehst Geschwindigkeit und Beschleunigung in einer Dimension schon gut. Jetzt k\u00f6nnen wir einige interessantere M\u00f6glichkeiten ausprobieren. Mit ein bisschen Trigonometrie (vielleicht m\u00f6chtest du das einmal wiederholen, besonders den Sinus und den Cosinus werden wir hier brauchen) k\u00f6nnen wir herausfinden, ob ein Baseball das "gr\u00fcne Monster" im Fenway Park vom Platz fegen kann.';
catalog['You understand what sequences and series are and the mathematical notation for them.  This tutorial takes things further by exploring ideas of convergence divergence and other, more challenging topics.'] = 'Du verstehst, was Folgen und Reihen sind und die mathematische Notation f\u00fcr sie.  Dieses Tutorial geht noch weiter und untersucht die Ideen von Konvergenz, Divergenz und andere, anspruchsvollere Themen.';
catalog['You want to display your Chuck Norris dolls on your desk at school and there is only room for five of them.  Unfortunately, you own 50.  How many ways can you pick the dolls and arrange them on your desk?  What if you don\'t care what order they are in or how they are posed (okay, of course you care about their awesome poses)?'] = 'You want to display your Chuck Norris dolls on your desk at school and there is only room for five of them.  Unfortunately, you own 50.  How many ways can you pick the dolls and arrange them on your desk?  What if you don\'t care what order they are in or how they are posed (okay, of course you care about their awesome poses)?';
catalog['You want to display your Chuck Norris dolls on your desk at school and there is only room for five of them.  Unfortunately, you own 50.  How many ways can you pick the dolls and arrange them on your desk?  What if you don\'t what order they are in or how they are posed (okay, of course you care about their awesome poses)?'] = 'You want to display your Chuck Norris dolls on your desk at school and there is only room for five of them.  Unfortunately, you own 50.  How many ways can you pick the dolls and arrange them on your desk?  What if you don\'t what order they are in or how they are posed (okay, of course you care about their awesome poses)?';
catalog['You want to go deeper in your understanding of logarithms.  This tutorial does just that by exploring properties of logarithms that will help you manipulate them in entirely new ways (mostly falling out of exponent properties).'] = 'Du m\u00f6chtest ein tieferes Verst\u00e4ndnis f\u00fcr Logarithmen.  Dieses Tutorial macht genau das durch Untersuchung der Eigenschaften von Logarithmen, mit denen du sie auf v\u00f6llig neue Weise (meist durch Ver\u00e4nderung der Exponentenigenschaften) beeinflussen kannst.';
catalog['You want to rotate a function around a vertical line, but do all your integrating in terms of x and f(x), then the shell method is your new friend.  It is similarly fantastic when you want to rotate around a horizontal line but integrate in terms of y.'] = 'You want to rotate a function around a vertical line, but do all your integrating in terms of x and f(x), then the shell method is your new friend.  It is similarly fantastic when you want to rotate around a horizontal line but integrate in terms of y.';
catalog['You will encounter very factorable quadratics that don\'t always seem so.  This tutorial will expand your arsenal by exposing you to special products like difference-of-squares and perfect square quadratics.'] = 'Du wirst sehr gut faktorisierbaren Termen begegnen, die auf den ersten Blick nicht sofort so wirken. Dieses Tutorial wird dein Arsenal erweitern, indem es dich binomischen Formeln wie der Plus-Minus-Formel und der Plus-Formel aussetzt.';
catalog['You will hear the words "deductive reasoning" and "inductive reasoning" throughout your life.  This very optional tutorial will give you context for what these mean.'] = 'Du wirst die Ausdr\u00fccke "deduktive Argumentation" und "induktive Argumentation" im Laufe deines Lebens immer wieder h\u00f6ren.  Dieses Tutorial ist wirklich optional und vermittelt dir einen Kontext daf\u00fcr, was die beiden Ausdr\u00fccke bedeuten.';
catalog['You will often hear physics professors be careful to say "net force" or "unbalanced force" rather than just "force".  Why?  This tutorial explains why and might give you more intuition about Newton\'s laws in the process.'] = 'You will often hear physics professors be careful to say "net force" or "unbalanced force" rather than just "force".  Why?  This tutorial explains why and might give you more intuition about Newton\'s laws in the process.';
catalog['You'] = 'You';
catalog['You\'ll find absolute value absolutely straightforward--it is just the "distance from zero". If you have a positive number, it is its own absolute value. If you have a negative number, just make it positive to get the absolute value. As you see as you develop mathematically, this idea will eventually extended to more contexts and dimensions, so super important that you understand this core concept now.\n\nCommon Core Standards: 6.NS.C.7, 6.NS.C.7c, 6.NS.C.7d\t'] = 'Du findest den Absolutwert absolut einfach -- es ist nur der ,,Abstand von Null\'\'. Wenn du eine positive Zahl hast, ist sie ihr eigener Absolutwert. Wenn du eine negativ Zahl hast, machst du sie positiv um den Absolutwert zu erhalten. Du wirst w\u00e4hrend du dich mathematisch entwickelst sehen, dass sich diese Idee schlie\u00dflich zu weiteren Kontexten und Dimensionen erweitern l\u00e4sst. Deswegen ist es sehr wichtig, dass du den Kern dieses Konzept jetzt bereits verstehst.\n\nCommon Core Standards: 6.NS.C.7, 6.NS.C.7c, 6.NS.C.7d\t';
catalog['You\'ll find absolute value absolutely straightforward--it is just the "distance from zero."  If you have a positive number, it is its own absolute value.  If you have a negative number, just make it positive to get the absolute value.  \n\nAs you\'ll see as you develop mathematically, this idea will eventually extend to more contexts and dimensions, so it\'s super important that you understand this core concept now.'] = 'Du wirst den absoluten Betrag recht einfach empfinden- es ist schlichtweg der "Abstand zur Null". Hast du eine positive Nummer, ist sie ihr eigener absoluter Betrag. Hast du eine negative Nummer, streiche das Vorzeichen und du erh\u00e4lst ihren absoluten Betrag. \nIm Laufe deiner mathematischen Entwicklung wirst du sehen, dass diese Idee letzten Endes auf mehr Kontexte und Dimensionen Anwendung findet, weswegen es super wichtig ist, dass du sie jetzt bereits im Kern verstehst.';
catalog['You\'ll find absolute value absolutely straightforward--it is just the "distance from zero."  If you have a positive number, it is its own absolute value.  If you have a negative number, just make it positive to get the absolute value.  \n\nAs you\'ll see as you develop mathematically, this idea will eventually extend to more contexts and dimensions, so it\'s super important that you understand this core concept now.\n\nCommon Core Standards: 7.NS.A.1a, 7.NS.A.1b\t\n\n\t'] = 'Du findest den Absolutwert absolut einfach -- es ist einfach der ,,Abstand von Null\'\'. Wenn du eine positive Zahl hast, ist sie ihr eigener Absolutwert. Wenn du eine negativ Zahl hast, machst du sie positiv um den Absolutwert zu erhalten. \n\nDu wirst w\u00e4hrend du dich mathematisch entwickelst sehen, dass sich diese Idee schlie\u00dflich zu weiteren Kontexten und Dimensionen erweitern l\u00e4sst. Deswegen ist es sehr wichtig, dass du den Kern dieses Konzept bereits jetzt verstehst.\n\nCommon Core Standards: 7.NS.A.1a, 7.NS.A.1b\t\n\n\t';
catalog['You\'ll see in this tutorial that multiplying polynomials is just an extension of the same distributive property that you\'ve already learned to multiply simpler expression (that\'s why we think FOIL is lame--it doesn\'t generalize and it is more memorization than real understanding).'] = 'In diesem Tutorial wirst du feststellen, dass das Multiplizieren von Polynomen nur eine Erweiterung derselben distributiven Eigenschaft ist, die du schon benutzt hast, um einfachere Ausdr\u00fccke zu multiplizieren (Deshalb denken wir FOIL ist langweilig--es ist nicht universell und eher eine Merkhilfe, anstelle von Erkenntnis).';
catalog['You\'re already familiar with factoring quadratics, but have begun to realize that it only is useful in certain cases.  Well, this tutorial will introduce you to something far more powerful and general.  Even better, it is the bridge to understanding and proving the famous quadratic formula.\n\nWelcome to the world of completing the square!'] = 'Du sind bereits vertraut mit der Linearfaktorzerlegung, aber du beginnst zu erkennen, dass diese nur in bestimmten F\u00e4llen anwendbar ist. Nun, dieses Tutorial wird dir etwas viel m\u00e4chtigeres mit allgemeinerer G\u00fcltigkeit vorstellen. Noch besser, es schl\u00e4gt die Br\u00fccke zum Verst\u00e4ndnis und Nachweis der bekannten quadratischen L\u00f6sungsformel. Herzlich Willkommen in der Welt der quadratischen Erg\u00e4nzung!  ';
catalog['You\'re already familiar with finite geometric series, but you don\'t want the summation to stop!!  What happens if you keep adding?  The terms are getting small fast!  Can it be that the sum of an infinite number of rapidly shrinking terms can be finite!  Yes, often times it can!  Mind-blowing!  Stupendous!'] = 'Du bist bereits vertraut mit endlichen geometrischen Reihen, aber du willst nicht aufh\u00f6ren die Summe zu bilden!!  Was passiert, wenn du weiter summierst?  Die Terme werden schnell immer kleiner!  Kann es sein, dass die Summe einer unendlichen Anzahl von rasch schrumpfenden Termen begrenzt sein kann!  Ja, oft kann das sein!  Mind-blowing!  Gewaltig!';
catalog['You\'re already familiar with hypothesis testing with one sample.  In this tutorial, we\'ll go further by testing whether the difference between the means of two samples seems to be unlikely purely due to chance.'] = 'Du bist  bereits vertraut mit dem Testen von Hypothesen bei einer Stichprobe.  In diesem Tutorial gehen wir einen Schritt weiter, indem wir testen, ob der Unterschied zwischen zwei  Stichproben nur zuf\u00e4llig ist.';
catalog['You\'re doing a lot more work than you realize (most of which goes unpaid).  This tutorial will have you seeing the world in terms of potentials and energy and work (which is more fun than you can possibly imagine).'] = 'You\'re doing a lot more work than you realize (most of which goes unpaid).  This tutorial will have you seeing the world in terms of potentials and energy and work (which is more fun than you can possibly imagine).';
catalog['You\'re enjoying algebra and equations, but you miss radicals.  Wouldn\'t it be unbelievably awesome if you could solve equations with radicals in them.  Well, your dreams can come true.\n\nIn this tutorial, we work through a bunch of examples to help you understand how to solve radical equations.  As always, pause the videos and try to solve the example before Sal does.'] = 'An Algebra und an Gleichungen hast du jetzt deinen Spa\u00df, aber mit Wurzeln kommst du noch nicht klar. W\u00e4re es nicht toll, wenn du auch Gleichungen mit Wurzeln darin l\u00f6sen k\u00f6nntest? Das ist gar nicht schwer. \n\nIn diesem Tutorial arbeiten wir uns durch einige Beispiele, die dir verstehen helfen, wie man Gleichungen mit Wurzlen l\u00f6st. Wie gewohnt kannst du die Videos anhalten und dich selbst an einer L\u00f6sung versuchen, bevor Sal sie dir zeigt.';
catalog['You\'re familiar with graphing lines, slope and y-intercepts.  Now we are going to go further into analytic geometry by thinking about distances between points, midpoints, parallel lines and perpendicular ones.  Enjoy!'] = 'Die Darstellung von Linien, Steigungen und Y-Achsen Abschnitten ist dir bereits bekannt. Jetzt werden wir uns weiter in die analytische Geometrie wagen indem wir \u00fcber den Abstand von Punkten, Mittelpunkte, parallele senkrechte Linien nachdenken. Viel Spa\u00df!';
catalog['You\'re familiar with sequences and have been eager to sum them up.  Well wait no longer!  In this tutorial, we\'ll see that series are just sums of sequences and familiarize ourselves with the notation.\n'] = 'Du kennst dich aus mit Folgen und sehnst dich danach, sie aufzusummieren.  Warte nicht l\u00e4nger!  In diesem Tutorial werden wir sehen, dass Reihen nichts anderes sind als Summen von Folgen und machen uns vertraut mit der Schreibweise. \n';
catalog['You\'re familiar with supply and demand curves already.  In this tutorial we\'ll explore what implications their steepness (or lack of) implies.  Price elasticity is a measure of how sensitive something is to price.'] = 'Angebots- und Nachfragekurven sind dir bereits bekannt. In diesem Tutorium werden wir die Implikationen der Steigung erforschen. Preiselastizit\u00e4t ist ein Ma\u00df, welches die Sensitivit\u00e4t eines Guts zu einem Preis darstellt.';
catalog['You\'re familiar with the graphs and equations of all of the conic sections.  Now you want practice identifying them given only their equations.  You, my friend, are about to click on exactly the right tutorial.'] = 'Du bist vertraut mit den Graphen und Gleichungen aller Kegelschnitte. Nun m\u00f6chtest du \u00fcben, sie zu erkennen, wenn nur ihre Gleichungen gegeben sind. Du, mein Freund, bist kurz davor, auf genau das richtige Tutorial zu klicken.';
catalog['You\'re feeling spirally today, and math class today is taking place in greenhouse #3...'] = 'Du f\u00fchlst Dich heute spiralf\u00f6rmig, und die Mathe-Klasse findet heute  im Gew\u00e4chshaus 3 statt...';
catalog['You\'re now familiar with sine, cosine and tangent.  Now you\'ll see that mathematicians have also defined functions that are the reciprocal of those: cosecant, secant and cotangent.'] = 'Du bist schon vertraut mit Sinus, Kosinus und Tangens.  Jetzt wirst du sehen, dass Mathematiker auch Funktionen definiert haben, die die Umkehrung von diesen sind:  Kosekans, Sekans und Kotangens.';
catalog['You\'re ready to <a href="%(download_url)s">download and install KA Lite</a>'] = 'You\'re ready to <a href="%(download_url)s">download and install KA Lite</a>';
catalog['You\'re receiving this e-mail because you requested a password reset'] = 'You\'re receiving this e-mail because you requested a password reset';
catalog['You\'re somewhat familar with adding, say, 17+12 or 21+32, but what happens for 13+19?  Essentially, what happens when I max out the "ones place".  In this tutorial, we\'ll introduce you to the powerful tool of carrying and why it works.'] = 'Du kennst dich aus mit den zusammenz\u00e4hlen von, sagen wir mal, 17+12 oder 21+32, aber was kommt raus bei 13+19? Was passiert, wenn ich die Grenzen der Einerstellen \u00fcberschreite? In diesem Tutorial werden wir dir den \u00dcbertrag vorstellen und erkl\u00e4ren, warum das Addieren damit so gut funktioniert.';
catalog['You\'re somewhat familar with adding, say, 17\u00a0+\u00a012 or 21\u00a0+\u00a032, but what happens for 13\u00a0+\u00a019? Essentially, what happens when I max out the "ones place"? In this tutorial, we\'ll introduce you to the powerful tool of regrouping and why it works.\n\nCommon Core Standard: 3.NBT.A.2'] = 'Du kennst dich aus mit Addieren, sagen wir einmal von 17+12 oder 21+32, aber was kommt raus bei 13+19? Was passiert, wenn ich die Grenzen der Einerstellen \u00fcberschreite? In diesem Tutorial werden wir dir das m\u00e4chtige Werkzeug \'\u00dcbertrag\' vorstellen und erkl\u00e4ren, warum das Addieren damit so gut funktioniert.\n\nCommon Core Standard: 3.NBT.A.2';
catalog['You\'re starting to get comfortable with a world where everything isn\'t equal.  In this tutorial, we\'ll add more constraints to think of at the same time.  You may not realize it, but the ability to understand and manipulate compound and absolute value inequalities is key to many areas of science, engineering, and manufacturing (especially when tolerances are concerned)!'] = 'Langsam f\u00e4ngst du an dich in einer Welt in der nicht alles gleich ist wohl zu f\u00fchlen. In diesem Tutrorial werden wir zus\u00e4tzliche Schranken hinzuf\u00fcgen, die gleichzeitig ber\u00fccksichtigt werden m\u00fcssen. Dir ist es vielleicht noch nicht klar, aber die F\u00e4higkeit mehrere Ungleichungen gleichzeitig und Betragsungleichungen zu verstehen und umzuformen ist der Schl\u00fcssel zu vielen Gebieten in Wissenschaft und Technik (insbesondere wenn es Toleranz geht)!';
catalog['You\'ve already got 1/4 cups of sugar in the cupboard. Your grandmother\'s recipe for disgustingly-sweet-fudge-cake calls for 3/4 cups of sugar. How much sugar do you need to borrow from you robot neighbor? Adding and subtracting fractions is key.\n\nCommon Core Standards 4.NF.B.3, 4.NF.B.3a\n\n\t\t\n\n'] = 'Du hast schon 1/4 Tasse Zucker im Schrank. Das Rezept deiner Gro\u00dfmutter f\u00fcr eine ekelhaft-s\u00fc\u00dfe Cremetorte erfordert 3/4 Tassen Zucker. Wieviel Zucker musst du dir von deinem Nachbarn leihen? Hier kommt es darauf an, Br\u00fcche zu addieren und zu subtrahieren.\n\nCommon Core Standards 4.NF.B.3, 4.NF.B.3a\n\n\t\t\n\n';
catalog['You\'ve already got 2 cups of sugar in the cupboard.  Your grandmother\'s recipe for disgustingly-sweet-fudge-cake calls for 3 and 1/3 cups of sugar.  How much sugar do you need to borrow from you robot neighbor?\n\nAdding and subtracting fractions is key.  It might be a good idea to look at the equivalent fractions tutorial before tackling this one.'] = 'Du hast schon 2 Becher mit Zucker im Vorratsschrank. Das Rezept deiner Gro\u00dfmutter f\u00fcr diesen unversch\u00e4mt s\u00fc\u00dfen Kuchen verlangt 3 1/3 Becher mit Zucker. Wieviel Zucker m\u00fcsstest du von deinem Roboter-Nachbarn ausleihen?\n\nAddition und Subtraktion von Br\u00fcchen ist der Schl\u00fcssel. Vielleicht ist es ratsam, das Tutorial f\u00fcr \u00e4quivalente Br\u00fcche anzusehen before du dieses Thema hier angehst.';
catalog['You\'ve already got 2 cups of sugar in the cupboard.  Your grandmother\'s recipe for disgustingly-sweet-fudge-cake calls for 3 and 1/3 cups of sugar.  How much sugar do you need to borrow from you robot neighbor?\n\nAdding and subtracting fractions is key.  It might be a good idea to look at the equivalent fractions tutorial before tackling this one.\n\nCommon Core Standards: 7.NS.A.1d'] = 'Du hast schon 2 Becher Zucker im Vorratsschrank. Das Rezept deiner Gro\u00dfmutter f\u00fcr diesen unversch\u00e4mt s\u00fc\u00dfen Kuchen verlangt 3 1/3 Becher Zucker. Wieviel Zucker m\u00fcsstest du von deinem Roboter-Nachbarn ausleihen?\n\nAddition und Subtraktion von Br\u00fcchen ist der Schl\u00fcssel. Vielleicht ist es eine gute Idee, das Tutorial f\u00fcr \u00e4quivalente Br\u00fcche anzusehen bevor du dieses Thema hier angehst.\n\nCommon Core Standards: 7.NS.A.1d';
catalog['You\'ve already got 2 cups of sugar in the cupboard. Your grandmother\'s recipe for disgustingly-sweet fudge cake calls for 3 and 1/3 cups of sugar. How much sugar do you need to borrow from you robot neighbor? Adding and subtracting fractions with unlike denominators is key. It might be a good idea to look at the equivalent fractions tutorial before tackling this one.\n\nCommon Core Standard: 5.NF.A.1'] = 'Du hast schon 2 Tassen Zucker im Schrank. Das ekelhaft-s\u00fc\u00dfe Cremetorten-Rezept deiner Gro\u00dfmutter erfordert 3 und 1/3 Tassen Zucker. Wieviele Zucker musst du dir von deinem Nachbarn borgen? Hier geht es auf das Addieren und Subtrahieren von Br\u00fcchen mit ungleichen Nennern an. Es k\u00f6nnte eine gute Idee sein, sich das Tutorial \u00fcber \u00e4quivalente Br\u00fcche anzusehen, bevor du dieses in Angriffs nimmst.\n\nCommon Core Standard: 5.NF.A.1';
catalog['You\'ve already graphed functions when you graphed lines and curves in other topics so this really isn\'t anything new.  Now we\'ll do a few more examples in this tutorial, but we\'ll use the function notation to make things a bit more explicit.'] = 'Du hast Funktionen schon grafisch dargestellt, als du Linien und Kurven in anderen Themen gezeichnet hast, also ist dies nicht wirklich etwas Neues.  Jetzt werden wir ein paar mehr Beispiele in diesem Tutorial machen, aber dabei Funktionsnotation verwenden, um es ein bisschen deutlicher zu machen.';
catalog['You\'ve already multiplied decimals in the 5th grade.  Now you\'ll become super good at it with a bit more practice!\n\nCommon Core Standard: 6.NS.B.3\t'] = 'Du hast bereits in der f\u00fcnften Klasse Dezimalzahlen multipliziert.  Jetzt wirst du mit ein bisschen mehr \u00fcben super darin! \n\nCommon Core Standard: 6.NS.B.3\t';
catalog['You\'ve already seen the distributive property in action multiple times.  Now we\'ll use it again!'] = 'Du hast bereits mehrere Male das Distributivgesetz in Aktion gesehen.  Jetzt verwenden wir es wieder!';
catalog['You\'ve been counting for a while now.  It\'s second nature to go from "9" to "10" or "99" to "100", but what are you really doing when you add another digit?  How do we represent so many numbers (really as many as we want) with only 10 number symbols (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)?\n\nIn this tutorial you\'ll learn about place value.  This is key to better understanding what you\'re really doing when you count, carry, regroup, multiply and divide with mult-digit numbers.  If you really think about it, it might change your worldview forever!'] = 'Du kannst schon seit eine Weile z\u00e4hlen. Du kannst wie selbstverst\u00e4ndlich von "9" bis "10" oder von "99" bis "100" zu z\u00e4hlen. Aber was machst du wirklich, wenn du eine weitere Ziffer hinzuf\u00fcgst? Wie k\u00f6nnen wir sehr viele Zahlen schreiben (also wirklich so viele, wie wir wollen) und nur 10 Symbole (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) benutzen? In diesem Tutorial lernst du die Wertigkeit der Stelle. Dies ist der Schl\u00fcssel zu einem besseren Verst\u00e4ndnis, was du wirklich tust, wenn du Multi-stellige Zahlen z\u00e4hlst, \u00fcbertr\u00e4gst, multiplizierst und dividierst. Wenn du wirklich dar\u00fcber nachdenkst, kann es deine Weltsicht f\u00fcr immer ver\u00e4ndern.\n';
catalog['You\'ve been logged in! We hope you enjoy your time with KA Lite '] = 'Du bist eingeloggt! Wir hoffen, dass Du die Zeit mit KA Lite genossen hast. ';
catalog['You\'ve been through "Equation examples for beginners" and are feeling good.  Well, this tutorial continues that journey by addressing equations that are just a bit more fancy.  By the end of this tutorial, you really will have some of the core algebraic tools in your toolkit!'] = 'Du hast "Gleichungsbeispiele f\u00fcr Anf\u00e4nger" abgeschlossen und f\u00fchlst dich gut. Nun, dieses Tutorial macht dort weiter indem wir uns nun etwas komplizierteren Gleichungen widmen. Am Ende dieses Tutorials wirst du wirklich einige Werkzeuge in deinem Repertoire haben, um algebraische Probleme zu l\u00f6sen!';
catalog['You\'ve been using decimals all of your life.  When you pay $0.75 at a vending machine, 0.75 is a decimal.  When you see the ratings of gymnastics judges at the Olympics ("9.5, 9.4, 7.5 (booooo)"), those are decimals.  This tutorial will help you understand this powerful tool all the better.  Before you know it, you\'ll be representing numbers that are in-between whole numbers all the time!'] = 'Sie verwenden Dezimalzahlen in Ihrem ganzen Leben.  Wenn Sie 0,75 Dollar am Automaten bezahlen, ist 0,75 eine Dezimalzahl.  Wenn Sie die Wertungen der Gymnastik Richter bei den Olympischen Spielen sehen (9,5, 9.4, 7.5 (buuuh)) sind das Dezimalzahlen.  Dieses Tutorial hilft Ihnen, dieses m\u00e4chtige Werkzeug besser zu verstehen.  Ehe man sich versieht, werden Sie durch Zahlen repr\u00e4sentiert, die sonst immer ganze Zahlen sind!';
catalog['You\'ve done some work with line integral with scalar functions and you know something about parameterizing position-vector valued functions.  In that case, welcome!  You are now ready to explore a core tool math and physics: the line integral for vector fields.  Need to know the work done as a mass is moved through a gravitational field.  No sweat with line integrals.'] = 'You\'ve done some work with line integral with scalar functions and you know something about parameterizing position-vector valued functions.  In that case, welcome!  You are now ready to explore a core tool math and physics: the line integral for vector fields.  Need to know the work done as a mass is moved through a gravitational field.  No sweat with line integrals.';
catalog['You\'ve explored perpendicular bisectors and angle bisectors, but you\'re craving to study lines that intersect the vertices of a a triangle AND bisect the opposite sides.  Well, you\'re luck because that (medians) is what we are going to study in this tutorial.  We\'ll prove here that the medians intersect at a unique point (amazing!) called the centroid and divide the triangle into six mini triangles of equal area (even more amazing!).  The centroid also always happens to divide all the medians in segments with lengths at a 1:2 ration (stupendous!).'] = 'Du hast senkrechte Seitenhalbierende und Winkelhalbierende erkundet. Aber du sehnst dich danach Geraden zu studieren, die die Ecken UND die gegen\u00fcberliegenden Seiten halbieren. Hey, du hast Gl\u00fcck, weil das (Mediane) genau das Thema dieses Tutorials sind. Du wirst hier beweisen, dass Mediane sich an einem ausgezeichneten Punkt schneiden (beeindruckend!), den man Schwerpunkt nennt und dass sie das Dreieck sechs Minidreicke aufteilt, die alle den gleichen Fl\u00e4cheninhalt haben (noch beeindruckender!). Der Schwerpunkt ist nebenbei auch noch der Punkt, der alle Mediane in Segmente unterteilt, die ein Verh\u00e4ltnis von exakt 1:2 haben (gewaltig!)';
catalog['You\'ve gotten good at hypothesis testing when you can make assumptions about the underlying distributions.  In this tutorial, we\'ll learn about a new distribution (the chi-square one) and how it can help you (yes, you) infer what an underlying distribution even is!'] = 'Du bist gut im Testen von Hypothesen, wenn du Annahmen \u00fcber die zugrunde liegende Verteilungen triffst.  In diesem Tutorial lernen wir eine neue Verteilung (die Chi-Quadrat Verteilung) kennen und wie sie dir helfen kann (Ja, dir) abzuleiten, was eine zugrunde liegenden Verteilung eigentlich ist!';
catalog['You\'ve probably already appreciated that there are many ways to solve a system of equations.  Well, we\'ll introduce you to another one in this tutorial.  Reduced row echelon form has us performing operations on matrices to get them in a form that helps us solve the system.'] = 'Wahrscheinlich hast du schon zu sch\u00e4tzen gelernt, dass es viele M\u00f6glichkeiten gibt ein Gleichungssystem zu l\u00f6sen. In diesem Tutorial werden wir dir eine weitere vorstellen. Die erweiterte Koeffizientenmatrix l\u00e4sst uns Umformungen in Matrizen durchf\u00fchren, um sie in eine Form zu bringen, die uns hilft das Gleichungssystem zu l\u00f6sen.';
catalog['You\'ve probably been learning how to do arithmetic for some time and feel pretty good about it.  This tutorial will make you feel even better once by showing you a bunch of examples of where it can be applied (using multiple skills at a time).  Get through the exercises here and you really are an arithmetic rock star!'] = 'Du hast jetzt bestimmt schon eine Zeit lang damit verbracht, Arithmetik zu lernen, und f\u00fchlst dich ganz wohl damit. Durch dieses Tutorial wirst du dich noch besser f\u00fchlen, weil es dir eine Reihe Beispiele zeigt, wo man Arithmetik anwenden kann (indem man mehrere Fertigkeiten auf einmal verwendet). Machen diese \u00dcbungen hier fertig und du bist wirklich ein Arithmetik-Rockstar!';
catalog['You\'ve probably heard of supply and demand.  Well, this tutorial focuses on the demand part.  All else equal, do people want more or less of something if the price goes down (what would you do)? Not only will you get an intuition for the way we typically depict a demand curve, you\'ll get an understanding for what might shift it.'] = 'Du hast wahrscheinlich schon einmal \u00fcber Angebot und Nachfrage geh\u00f6rt. In diesem Tutorial geht es um den Nachfrageteil. Wollen Menschen mehr oder weniger von einem Gut, wenn sein Preis f\u00e4llt (was w\u00fcrdest Du tun)? Du wirst nicht nur verstehen wie wir typischerweise eine Nachfragekurve zeichnen, sondern auch verstehen welche Einfl\u00fcsse sie verschieben k\u00f6nnen.';
catalog['You\'ve seen circles your entire life.  You\'ve even studied them a bit in math class.  Now we go further, taking a deep look at the equations of circles.'] = 'Sie haben ihr ganzes Leben lang schon Kreise gesehen. Sogar im Mathematikunterricht haben sie sie etwas studiert, Nun gehen wir noch einen Schritt weiter und betrachten die Kreisgleichungen genauer.';
catalog['You\'ve seen parabolas already when you graphed quadratic functions.  Now we will look at them from a conic perspective.  In particular we will look at them as the set of all points equidistant from a point (focus) and a line (directrix).  Have fun!'] = 'Du kennst Parabeln schon von der graphischen Darstellung der quadratischen Funktionen. Jetzt sehen wir sie uns als Kegelschnitte an. Wir sehen sie als Punktmenge mit einem festen Abstand zu einem Punkt (Fokus) und einer Linie (Achse). Viel Spass!';
catalog['You\u2019ve seen the drawing of human evolution showing a procession of monkey, ape, primitive and modern man? Well, somewhere along that line early man could be shown holding a paint brush and a chisel. Mankind has been making art for at least 100,000 years. Why was the earliest art made? What might it have once meant? This tutorial focuses on what we do and do not know about one of the earliest representations of the human body, The Venus of Willendorf.'] = 'You\u2019ve seen the drawing of human evolution showing a procession of monkey, ape, primitive and modern man? Well, somewhere along that line early man could be shown holding a paint brush and a chisel. Mankind has been making art for at least 100,000 years. Why was the earliest art made? What might it have once meant? This tutorial focuses on what we do and do not know about one of the earliest representations of the human body, The Venus of Willendorf.';
catalog['Your Email'] = 'Your Email';
catalog['Your Knowledge Map'] = 'Dein Lernpfad';
catalog['Your Name'] = 'Your Name';
catalog['Your immune system: Natural born killer'] = 'Dein Immunsystem: Der geborene Killer';
catalog['Your installation is offline, and therefore cannot access updates.'] = 'Your installation is offline, and therefore cannot access updates.';
catalog['Your password has been set.  You may go ahead and log in now.'] = 'Your password has been set.  You may go ahead and log in now.';
catalog['Your password was changed.'] = 'Your password was changed.';
catalog['Your personal views are your own, but in this case '] = 'Your personal views are your own, but in this case ';
catalog['Your progress streak bar for this exercise'] = 'Dein Fortschrittsergebnis f\u00fcr diese \u00dcbung';
catalog['Your question was submitted and will be reviewed by for inclusion in the FAQ.'] = 'Your question was submitted and will be reviewed by for inclusion in the FAQ.';
catalog['Your registration is now complete.'] = 'Your registration is now complete.';
catalog['Your username, in case you\'ve forgotten:'] = 'Your username, in case you\'ve forgotten:';
catalog['Z-score practice'] = 'Z-Faktor \u00dcbung';
catalog['Z-scores 1'] = 'Z-Werte 1';
catalog['Z-scores 2'] = 'Z-Werte 2';
catalog['Z-scores 3'] = 'Z-Werte 3';
catalog['Z-statistics vs. T-statistics'] = 'Z-Statistik vs. T-Statistik';
catalog['Zach Kaplan - CEO of Inventables'] = 'Zach Kaplan - CEO von Inventables';
catalog['Zach Kaplan - Digital manufacturing revolution'] = 'Zach Kaplan - Digital manufacturing revolution';
catalog['Zach Kaplan, CEO of Inventables, discusses how the revolution of digital manufacturing and desktop publishing can impact a new generation of entrepreneurs.&nbsp;'] = 'Zach Kaplan, CEO of Inventables, discusses how the revolution of digital manufacturing and desktop publishing can impact a new generation of entrepreneurs.&nbsp;';
catalog['Zach Kaplan, CEO of Inventables, discusses how the revolution of digital manufacturing and desktop publishing can impact a new generation of entrepreneurs.'] = 'Zach Kaplan, CEO of Inventables, discusses how the revolution of digital manufacturing and desktop publishing can impact a new generation of entrepreneurs.';
catalog['Zach Kaplan, CEO of Inventables, talks about how his early education helped shape his entrepreneurial roots and describes how a popular movie taught him an important lesson in entrepreneurship. He then recalls the moment when he had to decide between starting a company and taking a job.&nbsp;'] = 'Zach Kaplan, CEO of Inventables, talks about how his early education helped shape his entrepreneurial roots and describes how a popular movie taught him an important lesson in entrepreneurship. He then recalls the moment when he had to decide between starting a company and taking a job.&nbsp;';
catalog['Zen Buddhism'] = 'Zen Buddhism';
catalog['Zero and identity matrices'] = 'Zero and identity matrices';
catalog['Zero matrix'] = 'Nullmatrix';
catalog['Zero, Negative, and Fractional Exponents'] = 'Null, negative Zahlen und Br\u00fcche als Exponenten';
catalog['Zero, negative, and fractional exponents'] = 'Null, negative Zahlen und Br\u00fcche als Exponenten';
catalog['Zimmermann Telegram'] = 'Zimmermann Telegram';
catalog['Zinc Copper cell - example of reduction-oxidation reaction'] = 'Zink-Kupfer-Zelle - Beispiel einer Reduktion-Oxidation Reaktion';
catalog['Zinc copper cell (reduction-oxidation)'] = 'Zink-Kupfer-Zelle (Reduktion-Oxidation)';
catalog['Zone ID not found: %s'] = 'Zone ID not found: %s';
catalog['Zoom'] = 'Zoom';
catalog['[Pointless at the moment; tracks mastery linearly]'] = '[Pointless at the moment; tracks mastery linearly]';
catalog['[note: to replace Resources - this has updated slug/id] \nDownload the teacher resources from the Big History Project classroom version of this course. Text captions for videos are also available.'] = '[note: to replace Resources - this has updated slug/id] \nDownload the teacher resources from the Big History Project classroom version of this course. Text captions for videos are also available.';
catalog['\\Mimar Sinan, R&uuml;stem Pasha Mosque, Istanbul, 1561-63.&nbsp;Speakers: Dr. Elizabeth Macaulay-Lewis and Dr. Beth Harris'] = '\\Mimar Sinan, R&uuml;stem Pasha Mosque, Istanbul, 1561-63.&nbsp;Speakers: Dr. Elizabeth Macaulay-Lewis and Dr. Beth Harris';
catalog['\u00c9douard Manet, A Bar at the Folies-Berg\u00e8re, 1882 (Courtauld Gallery, London)  \n\nSpeakers: Beth Harris and Steven Zucker\n\nFor more videos see www.smarthistory.org'] = '\u00c9douard Manet, A Bar at the Folies-Berg\u00e8re, 1882 (Courtauld Gallery, London)  \n\nSpeakers: Beth Harris and Steven Zucker\n\nFor more videos see www.smarthistory.org';
catalog['\u00c9douard Manet, Le d\u00e9jeuner sur l\'herbe (Luncheon on the Grass), oil on canvas, 1863 (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = '\u00c9douard Manet, Le d\u00e9jeuner sur l\'herbe (Luncheon on the Grass), oil on canvas, 1863 (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['\u00c9douard Manet, Olympia, oil on canvas, 1863 (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker'] = '\u00c9douard Manet, Olympia, oil on canvas, 1863 (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker';
catalog['\u00c9douard Manet, Plum Brandy, c. 1877, oil on canvas  (National Gallery of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris'] = '\u00c9douard Manet, Plum Brandy, c. 1877, oil on canvas  (National Gallery of Art)\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris';
catalog['\u00c9douard Manet, The Balcony, 1868-69, oil on canvas, 66-1/2 x 44-1/4 inches (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nhttp://www.smarthistory.org/manets-the-balcony.html\n\nThe three principal figures depicted are each a friend of the artist. From left to right they are: the painters Berthe Morisot and Jean Baptiste Antoine Guillemet, and Fanny Claus, a violinist. Some have suggested that the fourth figure, barely visible in the shadows, is the young Leon Leenhoff, the son of Manet\'s wife.'] = '\u00c9douard Manet, The Balcony, 1868-69, oil on canvas, 66-1/2 x 44-1/4 inches (Mus\u00e9e d\'Orsay, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker\n\nhttp://www.smarthistory.org/manets-the-balcony.html\n\nThe three principal figures depicted are each a friend of the artist. From left to right they are: the painters Berthe Morisot and Jean Baptiste Antoine Guillemet, and Fanny Claus, a violinist. Some have suggested that the fourth figure, barely visible in the shadows, is the young Leon Leenhoff, the son of Manet\'s wife.';
catalog['\u00c9douard Manet, The Railway,1872-73,  oil on canvas (National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = '\u00c9douard Manet, The Railway,1872-73,  oil on canvas (National Gallery of Art)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['\u00c9douard Manet, \u00c9mile Zola, 1868, oil on canvas, 57 x 45 inches or 146.5 x 114 cm\n(Mus\u00e9e d\'Orsay, Paris)\n\nThis portrait was painted in appreciation for the support Zola gave to Manet in his\n1866 essay in La Revue du XXe si\u00e8cle and during Manet\'s independent exhibition \nheld along side the Universal Exposition in 1867.'] = '\u00c9douard Manet, \u00c9mile Zola, 1868, oil on canvas, 57 x 45 inches or 146.5 x 114 cm\n(Mus\u00e9e d\'Orsay, Paris)\n\nThis portrait was painted in appreciation for the support Zola gave to Manet in his\n1866 essay in La Revue du XXe si\u00e8cle and during Manet\'s independent exhibition \nheld along side the Universal Exposition in 1867.';
catalog['\u00c9lisabeth-Louise Vig\u00e9e Le Brun, Madame Perregaux, 1789, oil on oak panel,\n99.6 x 78.5 cm (Wallace Collection, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker'] = '\u00c9lisabeth-Louise Vig\u00e9e Le Brun, Madame Perregaux, 1789, oil on oak panel,\n99.6 x 78.5 cm (Wallace Collection, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker';
catalog['\u200b<br>&nbsp;oil on canvas, 4\' 3" x 6\' 4 1/2" (Louvre, Paris).&nbsp;\u200bSpeakers: &nbsp;Dr. Steven Zucker &amp; Dr. Beth Harris<br><br>'] = '\u200b<br>&nbsp;oil on canvas, 4\' 3" x 6\' 4 1/2" (Louvre, Paris).&nbsp;\u200bSpeakers: &nbsp;Dr. Steven Zucker &amp; Dr. Beth Harris<br><br>';
catalog['\u200bJames Rosenquist said about his 1964 painting, <em>F111</em>, "a multiplicity of ideas caused its existence." To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.'] = '\u200bJames Rosenquist said about his 1964 painting, <em>F111</em>, "a multiplicity of ideas caused its existence." To learn more about what artists have to say, take our online course, <a data-cke-saved-href="http://www.moma.org/learn/courses/online#course12" href="http://www.moma.org/learn/courses/online#course12">Modern and Contemporary Art, 1945-1989</a>.';
catalog['\u200bLearn about how cognitive abilities change as we age.'] = '\u200bLearn about how cognitive abilities change as we age.';
catalog['\u200bLearn about how knowledge is organized in the mind.'] = '\u200bLearn about how knowledge is organized in the mind.';
catalog['\u200bLearn about the players involved in the replication of DNA.'] = '\u200bLearn about the players involved in the replication of DNA.';
catalog['\u200bLearn about the stages and developmental milestones in Piaget\'s theory of cognitive development.'] = '\u200bLearn about the stages and developmental milestones in Piaget\'s theory of cognitive development.';
catalog['\u200bThe MoMA Alzheimer\'s Project: Making Art Accessible to People with Dementia. For more information please visit http://www.moma.org/meetme<br>'] = '\u200bThe MoMA Alzheimer\'s Project: Making Art Accessible to People with Dementia. For more information please visit http://www.moma.org/meetme<br>';
catalog['\u200bWhat are the mechanisms that the cell has in place to help repair mutations in DNA that could potentially lead to tumor formation and cancer?'] = '\u200bWhat are the mechanisms that the cell has in place to help repair mutations in DNA that could potentially lead to tumor formation and cancer?';
catalog['\u200bWhat is the central dogma of biology? Learn what it means.&nbsp;'] = '\u200bWhat is the central dogma of biology? Learn what it means.&nbsp;';
catalog['\u201cAsia\u201d is a term invented by the Greeks and Romans, and developed by Western geographers to indicate the land mass east of the Ural Mountains and Ural River, together with offshore islands such as Japan and Java. Culturally, no \u201cAsia\u201d exists, and the peoples who inhabit \u201cAsia\u201d often have little in common with each other. Recognizing the diversity of the huge area conventionally designated \u201cAsia,\u201d the Asian Art Museum has arranged its collections into seven general groupings: South Asia, the Persian World and West Asia, Southeast Asia, the Himalayas and the Tibetan Buddhist World, China, Korea, and Japan. '] = '\u201cAsia\u201d is a term invented by the Greeks and Romans, and developed by Western geographers to indicate the land mass east of the Ural Mountains and Ural River, together with offshore islands such as Japan and Java. Culturally, no \u201cAsia\u201d exists, and the peoples who inhabit \u201cAsia\u201d often have little in common with each other. Recognizing the diversity of the huge area conventionally designated \u201cAsia,\u201d the Asian Art Museum has arranged its collections into seven general groupings: South Asia, the Persian World and West Asia, Southeast Asia, the Himalayas and the Tibetan Buddhist World, China, Korea, and Japan. ';
catalog['\u201cPrimary Structures,\u201d \u201cABC Art,\u201d and \u201cMinimalism\u201d are terms that attempted to categorize the work of Donald Judd, Dan Flavin, Sol Lewitt and other artists who produced hard edged, often geometric and seemingly machined objects in the later 1960s and early 1970s. These stark, often cold and cerebral forms were the very antithesis of the deeply emotive gestural art of the Abstract Expressionists and their followers who had dominated the New York art scene since the 1940s. Here was an art that renounced the authentic \u201chand\u2019 of the artist and sought instead to create forms without reference to the world beyond the object\u2019s own logic except perhaps as Platonic expressions of a pure ideal.'] = '\u201cPrimary Structures,\u201d \u201cABC Art,\u201d and \u201cMinimalism\u201d are terms that attempted to categorize the work of Donald Judd, Dan Flavin, Sol Lewitt and other artists who produced hard edged, often geometric and seemingly machined objects in the later 1960s and early 1970s. These stark, often cold and cerebral forms were the very antithesis of the deeply emotive gestural art of the Abstract Expressionists and their followers who had dominated the New York art scene since the 1940s. Here was an art that renounced the authentic \u201chand\u2019 of the artist and sought instead to create forms without reference to the world beyond the object\u2019s own logic except perhaps as Platonic expressions of a pure ideal.';
catalog['activation key'] = 'activation key';
catalog['alcohols and phenols'] = 'alcohols and phenols';
catalog['alcohols, ethers, epoxides, thiols, sulfides'] = 'Alkohole, Ether, Epoxide, Thiole, Sulfide';
catalog['aldehydes and ketones'] = 'aldehydes and ketones';
catalog['all groups'] = 'all groups';
catalog['all-about-spout'] = 'all-about-spout';
catalog['alpha-carbon chemistry'] = 'alpha-carbon chemistry';
catalog['answer'] = 'answer';
catalog['aromatic compounds, naming derivatives of benzene, electrophilic aromatic substitution reactions'] = 'aromatische Verbindungen, Benennung der Derivate von Benzol, Elektrophile aromatische Substitution';
catalog['bond-line structures, functional groups, formal charges, resonance structures, oxidation and reduction, acid/base chemistry'] = 'bond-line structures, functional groups, formal charges, resonance structures, oxidation and reduction, acid/base chemistry';
catalog['chirality, stereoisomers, assigning absolute configuration using the R,S system, optical activity, diastereomers, meso compounds, fischer projections'] = 'Chiralit\u00e4t, Stereoisomere, Zuweisen der absolute Konfiguration mit R, S System, optische Aktivit\u00e4t, Diastereomere, Meso-Verbindungen, Fischer-Projektionen';
catalog['cis-trans and E-Z naming scheme for alkenes'] = 'cis-trans- und E-Z-Nomenklatur f\u00fcr Alkene';
catalog['cis/trans and the E/Z system'] = 'cis/trans and the E/Z system';
catalog['ck12 Distributive Property example'] = 'CK12 Distributivgesetz Beispiel';
catalog['ck12.org exercise: Standard normal distribution and the empirical rule'] = 'CK12.org \u00dcbung: Standard-Normalverteilung und die empirische Regel';
catalog['ck12.org normal distribution problems: Empirical rule'] = 'CK12.org Normalverteilung Probleme: empirische Regel';
catalog['ck12.org normal distribution problems: Qualitative sense of normal distributions'] = 'CK12.org Normalverteilung Probleme: Qualitative Wahrnehmung der Normalverteilungen';
catalog['ck12.org normal distribution problems: z-score'] = 'ck12.org Normalverteilung Probleme: Z-Faktor';
catalog['ck12.org: More empirical rule and z-score practice'] = 'ck12.org: mehr zu empirischen Regeln und Z-Transformation/z-Faktor - \u00dcbung';
catalog['coach'] = 'coach';
catalog['conjugation, conjugated dienes, addition reactions of conjugated dienes, diels-alder reaction, MO theory, color'] = 'Konjugation, konjugierte Diene, Additionsreaktionen konjugierte Diene, Diels-Alder-Reaktion, MO-Theorie';
catalog['covalent bonds'] = 'covalent bonds';
catalog['create a facility'] = 'eine Einrichtung anlegen';
catalog['created by'] = 'created by';
catalog['created on'] = 'created on';
catalog['crypto challenge'] = 'Krypto-Herausforderung';
catalog['cryptography'] = 'Kryptographie';
catalog['data wires allow you to send values directly from input sensors to output devices'] = 'data wires allow you to send values directly from input sensors to output devices';
catalog['de Kooning\'s Woman I'] = 'de Kooning\'s Woman I';
catalog['deflation'] = 'Deflation';
catalog['demonstration of a basic ant bot<br>'] = 'demonstration of a basic ant bot<br>';
catalog['demonstration of a simple coin detector'] = 'demonstration of a simple coin detector';
catalog['dim(v) + dim(orthogonal complement of v) = n'] = 'dim(v) + dim(orthogonal complement of v) = n';
catalog['e and compound interest'] = 'e and compound interest';
catalog['e as a limit'] = 'e as a limit';
catalog['e is a special number that shows up throughout nature (you will appreciate this more and more as you develop your mathematical understanding).  Given this, logarithms with base e have a special name--natural logarithms.  In this tutorial, we will learn to evaluate and graph this special function.'] = 'e ist eine spezielle Zahl, die in der Natur immer wieder auftaucht, (Sie werden dies mehr und mehr zu sch\u00e4tzen lernen, sowie sich Ihr mathematisches Verst\u00e4ndnis entwickelt).  Deswegen haben Logarithmen mit der Basis e einen besonderen Namen: nat\u00fcrliche Logarithmen.  In diesem Tutorial werden wir lernen, diese spezielle Funktion zu auszuwerten und darzustellen.';
catalog['e.g. number of facilities, number of students at each, grade levels, languages spoken, etc.'] = 'e.g. number of facilities, number of students at each, grade levels, languages spoken, etc.';
catalog['electronegativity'] = 'Elektronegativit\u00e4t';
catalog['electrostatics'] = 'Elektrostatik';
catalog['equations of the form AX=B'] = 'Gleichungen der Form AX = B';
catalog['evolution-today'] = 'evolution-today';
catalog['exercise(s)'] = '\u00dcbung(en)';
catalog['f(x), g(x), etc.  What does this mean?  Well they are ways of referring to "functions of x".  This is an idea that will show up throughout more advanced mathematics and computer science so it is a good idea to understand them now!\n\n'] = 'f(x), g(x), etc.  Was bedeutet das?  Nun, sie sind M\u00f6glichkeiten, "Funktionen von x" auszudr\u00fccken.  Dies ist eine Idee, die in der gesamten fortgeschrittenen Mathematik und Informatik auftauchen wird, es ist also eine gute Idee, sie gleich jetzt zu verstehen! \n\n';
catalog['factoring quadratics'] = 'quadratische Terme in Faktoren zerlegen';
catalog['for your user account at %(site_name)s'] = 'for your user account at %(site_name)s';
catalog['for'] = 'for';
catalog['gas phase'] = 'gas phase';
catalog['how would you know which way is north if you had no reference? Can the direction of stroke alone tell you this? Are you sure?'] = 'how would you know which way is north if you had no reference? Can the direction of stroke alone tell you this? Are you sure?';
catalog['http://mindshift.kqed.org/2011/01/future-school-day-self-paced-learning-creating-and-collaborating/'] = 'http://mindshift.kqed.org/2011/01/future-school-day-self-paced-learning-creating-and-collaborating/';
catalog['i as the principal root of -1 (a little technical)'] = 'i als wesentliche Wurzel von -1 (ein bi\u00dfchen technisch)';
catalog['i as the principal square root of -1'] = 'i als wesentliche Quadratwurzel von -1';
catalog['im(T): Image of a transformation'] = 'im(T): Image of a transformation';
catalog['individuals and society'] = 'individuals and society';
catalog['informationtheory'] = 'Informatik';
catalog['introduction to exponents and exponential growth'] = 'introduction to exponents and exponential growth';
catalog['is protected'] = 'is protected';
catalog['it grows!'] = 'Es w\u00e4chst!';
catalog['magnetic materials seem to have two sides (we could call them poles). Depending on orientation they can be attractive or repulsive. What is the shape of the force between fields?'] = 'magnetic materials seem to have two sides (we could call them poles). Depending on orientation they can be attractive or repulsive. What is the shape of the force between fields?';
catalog['manage'] = 'manage';
catalog['n x n determinant'] = 'n x n Determinante';
catalog['name'] = 'name';
catalog['naming alkanes and cycloalkanes, conformations of alkanes and cycloalkanes, and free radical reactions'] = 'Benennung der Alkane und Cycloalkane, Konformationen der Alkane und Cycloalkane sowie radikalische Reaktionen';
catalog['naming alkenes and alkynes, reactions of alkenes and alkynes, synthesis'] = 'Benennung der Alkene und Alkine, Reaktionen der Alkene und Alkine und deren Synthese';
catalog['naming carboxylic acids, formation of carboxylic acid derivatives'] = 'Benennung von Carbons\u00e4uren, Bildung von Carbons\u00e4ure-Derivate';
catalog['neuron membrane potentials'] = 'neuron membrane potentials';
catalog['no groups'] = 'no groups';
catalog['nomenclature and reactions of aldehydes and ketones'] = 'Nomenklatur und Reaktionen der Aldehyde und Ketone';
catalog['nomenclature and reactions of amines'] = 'Nomenklatur und Reaktionen der Amine';
catalog['of'] = 'von';
catalog['on disk'] = 'on disk';
catalog['pH of .2 M of NH3 (weak base).'] = 'pH-Wert von 0.2 M NH3 (schwache Base).';
catalog['pH of a weak acid'] = 'pH of a weak acid';
catalog['pH of a weak base'] = 'pH of a weak base';
catalog['pH, pOH of strong acids and bases'] = 'pH, pOH of strong acids and bases';
catalog['pKa and pKb relationship'] = 'pKa and pKb relationship';
catalog['parts c and d of problem 1 in the 2008 AP Calculus BC free response'] = 'Teil c und d des Problems 1 in 2008 AP Calculus BC freie Antwort';
catalog['perfect squares integers square root'] = 'Quadratische Ganzzahlen als Quadratwurzeln';
catalog['periodic table'] = 'periodic table';
catalog['private'] = 'private';
catalog['process name'] = 'process name';
catalog['process_id is not numeric.'] = 'process_id is not numeric.';
catalog['question'] = 'question';
catalog['rank(a) = rank(transpose of a)'] = 'rank(a) = rank(transpose of a)';
catalog['refresh this page'] = 'diese Seite aktualisieren';
catalog['registration profile'] = 'registration profile';
catalog['registration profiles'] = 'registration profiles';
catalog['resistance'] = 'resistance';
catalog['resonance structures'] = 'Resonanzstrukturen';
catalog['review probability spaces'] = 'Wiederholung Wahrscheinlichkeitsraum';
catalog['sandbox'] = 'sandbox';
catalog['search'] = 'search';
catalog['self-identity'] = 'self-identity';
catalog['sensory perception'] = 'sensory perception';
catalog['share'] = 'share';
catalog['showing %(shown_count)s of %(total_sessions)s'] = 'showing %(shown_count)s of %(total_sessions)s';
catalog['showing first %(max_results)s results'] = 'showing first %(max_results)s results';
catalog['slightly more complicated equations'] = 'Bisschen kompliziertere Gleichungen';
catalog['slug'] = 'slug';
catalog['social-psychology'] = 'social-psychology';
catalog['solving equations of the form AX+B=C'] = 'L\u00f6sen von Gleichungen der Form AX+B=C';
catalog['sort order'] = 'sort order';
catalog['sp hybrid orbitals'] = 'sp-Hybridorbitale';
catalog['sp2 hybrid orbitals'] = 'sp2-Hybridorbitale';
catalog['sp2, sp clarification'] = 'sp2, sp clarification';
catalog['sp3 Hybridized Orbitals and Sigma Bonds'] = 'SP3 Hybridorbitale und Sigmabindungen';
catalog['sp3 hybrid orbitals'] = 'sp3-Hybridorbitale';
catalog['sp3 hybridized orbitals and sigma bonds'] = 'Sp3 hybridisierte Orbitale und Sigma-Bindungen';
catalog['stage name'] = 'stage name';
catalog['status'] = 'status';
catalog['subtitle(s)'] = 'Untertitel';
catalog['systems of equations'] = 'Gleichungssysteme';
catalog['t2 Find an Unknown in a Proportion 2'] = 't2 Finden einer Unbekannten in einer Verh\u00e4ltnisgleichung 2';
catalog['t2 Find an Unknown in a Proportion'] = 't2 Finden einer Unbekannten in einer Verh\u00e4ltnisgleichung';
catalog['this device'] = 'this device';
catalog['to download'] = 'to download';
catalog['topic'] = 'topic';
catalog['translated'] = 'translated';
catalog['u-substitution and back substitution'] = 'u-substitution and back substitution';
catalog['u-substitution example 2'] = 'u-Substitution - Beispiel 2';
catalog['u-substitution example 3'] = 'u-Substitution - Beispiel 3';
catalog['u-substitution with definite integral'] = 'u-Substitution mit bestimmtem Integral';
catalog['u-substitution with ln(x)'] = 'u-Substitution mit ln(x)';
catalog['u-substitution'] = 'u-Substitution';
catalog['u03_l1_t2_we4 Comparing Decimals'] = 'u03_l1_t2_we4 Vergleichen von Dezimalzahlen';
catalog['u11_l1_t4_we_int Multiplying in Scientific Notation'] = 'u11_l1_t4_we_int Multiplikation in wissenschaftlicher Schreibweise';
catalog['u12 l2 t3 we2 Difference of Cubes Factoring'] = 'u12 l2 t3 we2 Difference of Cubes Factoring';
catalog['u13 l2 t2 we INT Equation of a Line hairier example'] = 'U13 l2 t2 we INT Gleichung f\u00fcr eine Gerade - haarigeres Beispiel';
catalog['u13 l2 t3 we1 Perpendicular Line Slope'] = 'U13 l2 t3 we1 senkrechte Linie und Steigung';
catalog['u14 l3 t1 we4 Solutions to Three Variable System'] = 'u14 l3 t1 we4 L\u00f6sungen f\u00fcr Gleichungssysteme mit 3 Variablen';
catalog['u15_L1_T1_we2 Simplifying Rational Expressions'] = 'U15_L1_T1_we2 Vereinfachung rationaler Ausdr\u00fccke';
catalog['updated by'] = 'updated by';
catalog['updated on'] = 'updated on';
catalog['user'] = 'user';
catalog['video, topic, or exercise...'] = 'video, topic, or exercise...';
catalog['warm up questions on angular measure&nbsp; <br>'] = 'warm up questions on angular measure&nbsp; <br>';
catalog['what is our memory limit? How can save time at the expense of space?'] = 'Was ist unsere Speichergrenze? Wie kann man Zeit sparen auf Kosten von Platz?';
catalog['with British Museum curator Irving Finkel<br>'] = 'with British Museum curator Irving Finkel<br>';
catalog['work and energy'] = 'work and energy';
catalog['x-  and y-intercepts'] = 'X- und Y-Koordinaten';
catalog['x- and y-intercepts 2'] = 'x- und y-Abschnitte 2';
catalog['x-intercepts and y-intercepts of linear functions'] = 'X- und Y-Achsen-Abschnitte von linearen Funktionen';
catalog['y-intercept of tangent line example'] = 'y-intercept of tangent line example';
catalog['you are not allowed to delete yourself.'] = 'you are not allowed to delete yourself.';


function gettext(msgid) {
  var value = catalog[msgid];
  if (typeof(value) == 'undefined') {
    return msgid;
  } else {
    return (typeof(value) == 'string') ? value : value[0];
  }
}

function ngettext(singular, plural, count) {
  value = catalog[singular];
  if (typeof(value) == 'undefined') {
    return (count == 1) ? singular : plural;
  } else {
    return value[pluralidx(count)];
  }
}

function gettext_noop(msgid) { return msgid; }

function pgettext(context, msgid) {
  var value = gettext(context + '\x04' + msgid);
  if (value.indexOf('\x04') != -1) {
    value = msgid;
  }
  return value;
}

function npgettext(context, singular, plural, count) {
  var value = ngettext(context + '\x04' + singular, context + '\x04' + plural, count);
  if (value.indexOf('\x04') != -1) {
    value = ngettext(singular, plural, count);
  }
  return value;
}

function interpolate(fmt, obj, named) {
  if (named) {
    return fmt.replace(/%\(\w+\)s/g, function(match){return String(obj[match.slice(2,-2)])});
  } else {
    return fmt.replace(/%s/g, function(match){return String(obj.shift())});
  }
}

/* formatting library */

var formats = new Array();

formats['DATETIME_FORMAT'] = 'N j, Y, P';
formats['DATE_FORMAT'] = 'N j, Y';
formats['DECIMAL_SEPARATOR'] = '.';
formats['MONTH_DAY_FORMAT'] = 'F j';
formats['NUMBER_GROUPING'] = '0';
formats['TIME_FORMAT'] = 'P';
formats['FIRST_DAY_OF_WEEK'] = '0';
formats['TIME_INPUT_FORMATS'] = ['%H:%M:%S', '%H:%M'];
formats['THOUSAND_SEPARATOR'] = ',';
formats['DATE_INPUT_FORMATS'] = ['%Y-%m-%d', '%m/%d/%Y', '%m/%d/%y', '%b %d %Y', '%b %d, %Y', '%d %b %Y', '%d %b, %Y', '%B %d %Y', '%B %d, %Y', '%d %B %Y', '%d %B, %Y'];
formats['YEAR_MONTH_FORMAT'] = 'F Y';
formats['SHORT_DATE_FORMAT'] = 'm/d/Y';
formats['SHORT_DATETIME_FORMAT'] = 'm/d/Y P';
formats['DATETIME_INPUT_FORMATS'] = ['%Y-%m-%d %H:%M:%S', '%Y-%m-%d %H:%M:%S.%f', '%Y-%m-%d %H:%M', '%Y-%m-%d', '%m/%d/%Y %H:%M:%S', '%m/%d/%Y %H:%M:%S.%f', '%m/%d/%Y %H:%M', '%m/%d/%Y', '%m/%d/%y %H:%M:%S', '%m/%d/%y %H:%M:%S.%f', '%m/%d/%y %H:%M', '%m/%d/%y'];

function get_format(format_type) {
    var value = formats[format_type];
    if (typeof(value) == 'undefined') {
      return format_type;
    } else {
      return value;
    }
}

