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Things of interest in Maths & Science

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The smooth motion of rotating circles can be used to build up any repeating curve even one as angular as a digital square wave. Each circle spins at a multiple of a fundamental frequency, and a method called Fourier analysis shows how to pick the radiuses of the circles to make the picture work. Decomposing signals like this lies at the heart of a lot of signal processing. [more] [code]

The smooth motion of rotating circles can be used to build up any repeating curve even one as angular as a digital square wave. Each circle spins at a multiple of a fundamental frequency, and a method called Fourier analysis shows how to pick the radiuses of the circles to make the picture work. Decomposing signals like this lies at the heart of a lot of signal processing. [more] [code]

  1. brownsteam reblogged this from petervidani and added:
    If you were ever curious how a Fourier Series works… perhaps a visual can help.
  2. inoverthought reblogged this from cielito-lindo
  3. cielito-lindo reblogged this from spockandsex
  4. bunnyliquefaction reblogged this from matthen
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  6. theniggaryan reblogged this from matthen and added:
    The speed of the circle never changes, yet the frequencies get whack. Fourier analysis and square waves? Toooo...
  7. fritokal reblogged this from typewriterchan
  8. typewriterchan reblogged this from nausiwindstrider and added:
    I love this stuff. This was part of my major. Not the circles themselves, but creating sine waves, square waves, doing...
  9. nausiwindstrider reblogged this from 51pegasi-b
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  14. youngnoblewoman reblogged this from messier51 and added:
    This is why I give up with trying to deal with anything involing the word “Fourier” except for FTIR
  15. imrandomaspaper reblogged this from doctorwhoslostcompanion
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  17. marchingatmidnight reblogged this from doctorwhoslostcompanion and added:
    Is this how Gallifreyan writing was developed?
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  23. lightbulbthesis reblogged this from matthen and added:
    Pretty! my second lab’s work basically. We’re investigating light travelling through single, multi and few mode optical...
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  32. sonic417 reblogged this from yoichi13 and added:
    I found a java applet that did basically this when I was first learning about phasors. It was such a huge help. The...
  33. yoichi13 reblogged this from glasslipids
  34. glasslipids reblogged this from b-bender-tele
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Matt Henderson

I post original stuff about maths, space, computational linguistics and other things that I like. This blog is meant to be accessible and interesting to people of all backgrounds. My undergrad was maths in Cambridge, and I'm now starting research in Speech and Language technology. Email me at If you're new, check out this overview of my posts. All code posted is in Mathematica.

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