The Plastic Brain

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Do you like calculus? No? Read on anyway.

Via ilovecharts:

The function y=|x| is continuous, but not differentiable at x=0, because it makes a 90 degree turn there. Would it be possible to construct a function which iscontinuousbut differentiable nowhere? Bolzano’s function is an example of such a curve. The animation shows how it is created by repeating a certain step, then zooms in to show it is infinitely detailedJaggy on all scales

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Author: Rogan Tinsley

Biology, science and maths teacher with a PhD in Neuroscience and passion for education.

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