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" As noted by his former pupil and collaborator André Deprit, Lemaître was one of the inventors of the modern Fast Fourier Transform technique.

Lemaître was well ahead on his time regarding machine computing. As early as the thirties at MIT, he used the machine perfected by Bush to solve the Störmer problem. "

source : http://www.uclouvain.be/en-316446.html

Wow. I hadn't come accross this blog before. It has a fantastic wealth of content, all relevant to my interests. Very impressed.
I stumbled across this site a while ago when learning about Neural Networks. Never even realized what a broad range of other interesting topics he covered.
Love his tutorials. Motivates PCA by walking trough a creepy eigenface decomposition, and solves a political prediction problem with a ID3 implementation of a decision tree. I actually used the latter initial code scrap for writing an entire damn random forest implementation!

Really looking forward to his future discussion of computational topology and persistent homologies.

Seems like a great blog. I'm trying to get through The Road to Reality by Roger Penrose that's supposedly capable of giving a layman an idea of the math and physics behind modern physics including string theory, but I'm finding Jeremy Kun's treatment of some of the same mathematical concepts using animation and colloquial language to be easier to understand.
Great content! Nice mix of math, backstory and practical examples along the way to keep the reader engaged.

I was a little concerned that the Python cmath library might be written in Python but from what I can tell, it's native-code from C.

Yep! In general, any Python library prefixed with a C will be native.
For anyone who doesn't want to roll their own FFT, take a look at this excellent pure C implementation: http://www.fftw.org/
This is a parallel agorithm...
When you present the Fourier transform as frequency spectrum, what are you actually plotting? Magnitude? Real part?