Weierstrass function
function that is continuous everywhere but differentiable nowhere
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Weierstrass function
Summary
Weierstrass function is a teragon[1]. It draws 633 Wikipedia views per month (teragon category, ranking #1 of 1).[2]
Key Facts
- Weierstrass function's video is recorded as Weierstrass Animation.gif[3].
- Weierstrass function's image is recorded as WeierstrassFunction.svg[4].
- Weierstrass function's instance of is recorded as teragon[5].
- Weierstrass function's instance of is recorded as continuous function[6].
- Karl Weierstraß is named after Weierstrass function[7].
- Weierstrass function's Commons category is recorded as Weierstrass function[8].
- Weierstrass function's Freebase ID is recorded as /m/02963y[9].
- Weierstrass function's different from is recorded as Weierstrass functions[10].
- Weierstrass function's defining formula is recorded as \begin{aligned}&f(x)=\sum_{n=0}^\infty a^n\cos(b^n\pi x)\&0<a<1\&b\in{1,3,5,\dotsc}\&ab>1+\frac32\pi\end{aligned}<sup id="cite-C14" class="cite-ref" title="Weierstrass function — defining formula (P2534): \begin{aligned}&f(x)=\sum_{n=0}^\infty a^n\cos(b^n\pi x)\&0<a<1\&b\in{1,3,5,\dotsc}\&ab>1+\frac32\pi\end{aligned}">[11].
- Weierstrass function's MathWorld ID is recorded as WeierstrassFunction[12].
- Weierstrass function's maintained by WikiProject is recorded as WikiProject Mathematics[13].
- Weierstrass function's Microsoft Academic ID is recorded as 2777723054[14].
- Weierstrass function's in defining formula is recorded as f[15].
- Weierstrass function's in defining formula is recorded as \cos[16].
- Weierstrass function's in defining formula is recorded as \pi[17].
- Weierstrass function's in defining formula is recorded as b[18].
- Weierstrass function's in defining formula is recorded as a[19].
- Weierstrass function's Namuwiki ID is recorded as 바이어슈트라스 함수[20].
Why It Matters
Weierstrass function draws 633 Wikipedia views per month (teragon category, ranking #1 of 1).[2] It has Wikipedia articles in 22 language editions, a strong signal of global cultural recognition.[21] It is known by 11 alternative names across languages and contexts.[22]