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Breaking functions down to their constituent parts is nice and all, but this is a step too far. (fedia.io)
submitted 11 months ago by to c/science_memes@mander.xyz
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Top right: finger pressing button labeled "upgrade." Top left: Taylor series. Middle right: Finger pressing button labeled "go back." Middle left: Fourier transform. Bottom right: Finger pressing button labeled "I SAID GO BACK." Bottom left: Laplace transform
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[–] [S] 4 points 11 months ago* (1 child)

It is, but conceptually it's a lot weirder than the Fourier transform, whose idea at least is very straightforward. I mean, when doing Laplace transforms you do have to assume that int(e^tdt){0}{∞}=-1. I'd definitely rather use the Laplace transform, but you couldn't pay me to explain how that shit actually works to an undergrad student.

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  • [–] 4 points 11 months ago

    Basically the assumption is that the signal x(t) is equal to 0 for all t < 0 and that the integral converges. And what is a bit counter-intuitive: Laplace transformations can be regarded as generalizations of Fourier transformations, since the variable s is not only imaginary but fully complex. But yeah... I would have to brush up on it again, before explaining it as well. It's... been a while.

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