Friday 2 October 2015

A Magical Answer to an 80-Year-Old Puzzle


https://www.quantamagazine.org/20151001-tao-erdos-discrepancy-problem/

Posted by mathematicalcircles on Friday, October 2, 2015

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Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, &a...