![]() you have to work with finite length and discretized signals where the maths don't strictly apply). Such practical examples seem to be almost banned from university math, I'm guessing to make sure everything is very abstract and rigorous (e.g. To me it was just some by-rote algebra with integrals of exponentials of complex numbers.īut then I happened to do some audio signal analysis, and when I saw a magnitude spectrum of a waveform, it was instantly obvious what's going on (and understanding the phase part after this was no problem). ![]() A clear example I recall was studying Fourier transforms in math and I couldn't make any sense of it. There seems to be something similar in other branches of mathematics too (and lots of other fields).
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