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The Unreasonable Effectiveness of the Fourier Transform

5mon 9d ago by discuss.online/u/m_f in discuss@discuss.online from joshuawise.com

Obligatory XKCD:

Thought it was a good overview of why Fourier Transforms are interesting and the motivation behind them

So the reason pi is there is because everything gets decomposed into sinewaves?

Yeah, I think that's a good summary. I tried finding an article I read a while back that talked about it more from that angle, as in "Why does π keep showing up everywhere?", but can't track it down.

In consolation, here's the Tau Manifesto, which talks up why τ (i.e. 2π) is the better number to use, and also a post about the evil twin of π, called ϖ:

https://mathstodon.xyz/@johncarlosbaez/113703444230936435

Are you a EE by chance? Not many people dig into domain transformers for fun ;)

Not an EE but I work with a lot of them and I think the enthusiasm rubs off on me