Meta nitpick: the Gibbs phenomenon is a statement about any arbitrary *finite* d... | Hacker News

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		ajross on Sept 10, 2019 \| parent \| context \| favorite \| on: An Interactive Introduction to Fourier Transforms Meta nitpick: the Gibbs phenomenon is a statement about any arbitrary finite decomposition. The limit of the wave form as the number of terms goes to infinity is in fact exactly a square wave.

kragen on Sept 11, 2019 [–]

As usual, infinity complicates things; the series has pointwise convergence but not uniform convergence in such cases.

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