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Fourier Transforms blew my mind in college. Don't have the clicks now to read the link now but will do so. Thanks, mk!
FTs and perhaps moreso the related Fourier series blew my mind as well. To think that any arbitrary function can be represented as the sum of a weighted series of periodic functions was not something I had considered (and why would I? its not exactly obvious), but after I felt like I had discovered some kind of deeper truth.
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