Weierstrass function
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Wikidata facts
- Instance of
- continuous function
- Named after
- Karl Weierstraß
- Image
- WeierstrassFunction.svg
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- Commons category
- Weierstrass function
- maintained by WikiProject
- WikiProject Mathematics
- different from
- Weierstrass functions
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Encyclopedic overview
Plot of Weierstrass function over the interval [−2, 2]. Like some other fractals, the function exhibits self-similarity: every zoom (red circle) is similar to the global plot.
In mathematics, the Weierstrass function, named after its discoverer, Karl Weierstrass, is an example of a real-valued function that is continuous everywhere but differentiable nowhere. It is also an example of a fractal curve.
Excerpted from Wikipedia’s “Weierstrass function” article, available under the CC BY-SA 4.0 licence.