3 ms·
In Fourier analysis, everything is just a bunch of sinusoids ;) And it seems to me that there are also sawtooth patterns that aren't clearly the alignment of lo
by moyix 11y ago
In Fourier analysis, everything is just a bunch of sinusoids ;) And it seems to me that there are also sawtooth patterns that aren't clearly the alignment of lots of sinusoidal patterns, such as market bubbles.
- jmount 11y agoThere are definitely graphs that can only be approximated by Fourier methods (such as square waves). The issue is related to Gibbs phenomena: https://en.wikipedia.org/wiki/Gibbs_phenomenon https://en.wikipedia.org/wiki/Gibbs_phenomenon
- moyix 11y agoYou're correct; I was thinking of L^p (p > 1) convergence almost everywhere.
- phreeza 11y agoThe emphasis was supposed to be on the part with the phases being aligned (at the point of the steepest slope) :)