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by peter_d_sherman·6d ago·view on hn ↗
My favorite part of the article:

>"Here is something even more interesting. As you approach α = -1, the time domain approaches a shape of t-1, and the frequency domain approaches a flat magnitude with a zero phase. However, a flat magnitude and zero phase corresponds to a delta function, δ(t), in the time domain."

Related:

https://en.wikipedia.org/wiki/Dirac_delta_function

>"Indeed, Heaviside introduced the δ-function in his work on electromagnetism and electrical engineering.[14] In a 1963 interview, Dirac stated, "All electrical engineers are familiar with the idea of a pulse, and the δ-function is just a way of expressing a pulse mathematically."[15]"