Difference between revisions of "Takagi function"

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(Created page with "Define the function $s(x)=\min_{n \in \mathbb{Z}} |x-n|$. The Blancmange function is defined by $$\mathrm{blanc}(x)=\displaystyle\sum_{k=0}^{\infty} \dfrac{s(2^n x)}{2^n}.$$")
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Revision as of 14:43, 21 April 2015

Define the function $s(x)=\min_{n \in \mathbb{Z}} |x-n|$. The Blancmange function is defined by $$\mathrm{blanc}(x)=\displaystyle\sum_{k=0}^{\infty} \dfrac{s(2^n x)}{2^n}.$$