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Video / Animation

Result thumbnailThe Brain Science of Making Decisions

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When it’s time to vote on Election Day, how do you decide on a candidate? In this video, neuroscientist Michael Shadlen explains how our brains secretly do math in order to make decisions. Credit: Columbia University’s Zuckerman Institute

Video / Animation

Result thumbnailChaotic System

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This animation shows how chaotic systems are unpredictable because of their extreme sensitivity to their initial conditions.

Video / Animation

Result thumbnailCycloid

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This animation explains what a cylcoid is and shows how the size of a cycloid relates to the size of the rolling circle that generates it.

Video / Animation

Result thumbnailFractal

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This animation explains that fractals are self-similar geometrical objects at different scales and magnifications and shows how fractals can be generated by applying simple mathematical rules repetitively.

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from article Conic section

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Four conic sections. (a) Circle. (b) Ellipse. (c) Parabola. (d) Hyperbola.

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from article Catenary

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Catenary and force triangle which keeps a portion of the string in equilibrium.

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from article Catenary

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Relation of catenary to the tractrix which is its involute.

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from article Legendre functions

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Legendre functions of the second kind, Qn(x). (After E. Jahnke and F. Emde, Tables of Functions with Formulae and Curves, 4th ed., Dover Publications, 1945)

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from article Circle

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A circle, with radius, diameter, and circumference indicated. (Credit: McGraw-Hill Education)

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