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Riemann's Example of a Continuous but Nowhere Differentiable Function
Riemann's Example of a Continuous but Nowhere Differentiable Function
Contrary to intuition, functions exist that are continuous everywhere, but differentiable almost nowhere. This shows a plot of partial sums of Riemann's continuous but nowhere differentiable function which can be expressed as .
∞
∑
k=1
αcos(πx)+(1-α)sin(πx)
β
k
β
k
β
k