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by brendanclune
856 days ago
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The article talks about composing these shapes using variable coefficients to fit the resulting emotional arcs. I'm not convinced this isn't just Fourier decomposition on arbitrary continuous functions. Maybe there's insight there regardless? Hard to say. But the title could easily be "continuous functions are approximated by Fourier series with six terms" in my opinion. |
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Yes and their 6 components are actually more like three components if you allow the sign of the amplitude to go negative.
Interestingly, there doesn't seem to be much variation in phase, so it's akin to a real amplitude (though the highest-frequency component does look a bit like it may be time-reversed rather than simply inverted)