tbh one of the biggest obstacles to me learning Fourier transforms is my inability to legibly write ξ as in

F(ξ) = ∫f(x)e^(-2πiξx) dx

it looks like that's just one form of the FT, though, and there's a second one with different characteristics but is more popular in EE
@cascode @er1n I did see a formulation of the FT using ω = 2πf, so you'd end up with

F(ω) = ∫f(x)e^(-ωix) dx

but I gather that's using a different notion of frequency

@ninjawedding @er1n yeah, that's what i'm used to, it's... maybe mathier than using f?

it's also useful for analog signal stuff bc you dont have to modify all your time constants by factors of 2pi if you're using radians, you can just convert to hertz once at the end

@ninjawedding @cascode ONE OF MY PROFESSORS USED ω FOR RADIAL DIGITAL FREQUENCY AND IT WAS THE WORST

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