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From the title I expected an article on pre-Copernican planetary models and its connection to approximation by Fourier series. Strangely enough that connection
by srean 11y ago
From the title I expected an article on pre-Copernican planetary models and its connection to approximation by Fourier series. Strangely enough that connection is not as popular as one would think in retrospect. It took me by surprise when I finally made the connection, "why the hell didn't I realize that before."
- jamessb 11y agoI don't think the connection is obvious if the fourier transform is simply presented through equations, but it is after seeing an animation like https://en.wikipedia.org/wiki/File:Fourier_series_square_wave_circles_animation.gif https://en.wikipedia.org/wiki/File:Fourier_series_square_wav... or http://blog.matthen.com/post/42112703604/the-smooth-motion-of-rotating-circles-can-be-used http://blog.matthen.com/post/42112703604/the-smooth-motion-o...
- kbart 11y agoMatthen's blog is really good one, he presents various math subjects in a very clear and illustrated way. My personal favorite: http://blog.matthen.com/post/111638712111/how-a-series-of-waves-with-increasing-frequencies http://blog.matthen.com/post/111638712111/how-a-series-of-wa...
- agumonkey 11y agoWhile I expected a wooden version of Michelson's analyzer : http://imgur.com/gyeR4A0 http://imgur.com/gyeR4A0