Karl Weierstrass Biography | Pantheon
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The curious case of the Weierstrass function
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The Weierstrass series is a famous mathematical construction that shows how surprising and counterintuitive functions can be. It was introduced by Karl Weierstrass in the 19th century as an example of a function that is continuous everywhere but differentiable nowhere. This series is built by adding together a carefully chosen infinite sum of cosine waves with shrinking amplitudes but increasing frequencies. The result is a jagged curve that never smooths out, no matter how much you zoom in. Thi
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