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throwing shade on the weierstrass function
re: Weierstrass function
Submitted by Americakills:
http://www.math.washington.edu/~conroy/general/weierstrass/weier01.gif when I first started, this is about how I felt trying to identify patterns on stock charts.
Here's the Weierstrass function post that is being referred to!
The Weierstrass function is continuous everywhere but differentiable nowhere. In 1872, Karl Weierstrass defined it as f(x) = Σakcos(b kπx) where the sum is from k=0 to ∞. The shape displays increasing detail with progressive magnification, like other fractal forms.
Weierstrass Functions
Continuous everywhere, differentiable no where.
Source: www.math.washington.edu/~conroy/general/weierstrass/weier.htm
A famous pathological example of a function that is continuous everywhere but differentiable nowhere. Via Brown Sharpie.