Weierstrass function

$Plot of Weierstrass function over the interval [−2, 2]. Like fractals, the function exhibits self-similarity: every zoom (red circle) is similar to the global plot.$

In mathematics, the Weierstrass function is an example of a pathological real-valued function on the real line. The function has the property of being continuous everywhere but differentiable nowhere. It is named after its discoverer Karl Weierstrass.

单词	Nowhere differentiable function
释义	Nowhere differentiable function 英语百科 Weierstrass function $Plot of Weierstrass function over the interval [−2, 2]. Like fractals, the function exhibits self-similarity: every zoom (red circle) is similar to the global plot.$ In mathematics, the Weierstrass function is an example of a pathological real-valued function on the real line. The function has the property of being continuous everywhere but differentiable nowhere. It is named after its discoverer Karl Weierstrass.
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Nowhere differentiable function

Weierstrass function