Visualization of the Weierstrass Function: Continuous Everywhere but Nowhere Differentiable

This visualization illustrates an approximation of the Weierstrass function, a classic example of a function that is continuous everywhere but differentiable nowhere.

Mathematical Visual Proofs365.3K views0:38

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About this video

This is a visualization of an approximation of the Weierstrass function, which is a function that is continuous everywhere but differentiable nowhere. The curve is defined as an infinite sum and there are several curves like this given different parameters. To buy me a coffee, head over to https://www.buymeacoffee.com/VisualProofs Thanks! #manim #math​​ #mathshorts​ #mathvideo​ #construction #calculus #mtbos​ #manim​ #animation​ #theorem​ ​​ #iteachmath #spiral #weierstrass #continuouseverywhere #continuity #differentiation #differentiablenowhere #function To learn more about animating with manim, check out: https://manim.community

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Views
365.3K

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Likes
18.7K

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Duration
0:38

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Published
Oct 18, 2024

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Quality
hd

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