For those who don’t know, and correct me if I’m wrong, Euler’s Formula is e^(xi) = cos(x) + isin(x) and Euler’s Identity is where “x” is equal to pi, therefore e^(πi) = -1. It’s fascinating to me how something so complex can be equal to something so simple (talking about Euler’s Identity). But what I don’t get is how they’re practical. What are they used for, and why are they important?
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Pretty sure its used a lot in signal processing too.
Basically there’s a law where any signal, no matter how distorted or weird, it can be summed up as a series of added cosine and sinus waves with different periods and amplitudes.
So if you are looking for some specific signal you can essentially isolate it using math, which is super fucking useful for any kind of communication. Google fourier transform for more.
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