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$Butterfly Filter. Graphical description of the Fast Fourier Transform process which systematically continues to factor the problem in two. This process allows the FFT routine to drop to O(N log N ) operations.$

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Butterfly Filter. Graphical description of the Fast Fourier Transform process which systematically continues to factor the problem in two. This process allows the FFT routine to drop to O(N log N ) operations.

butterfly filter fast fourier transform math science algorithm

$Midterms$
$Angles of an Orange$
$The soup norm (aka Sup norm or Suprema norm). Also the triangle inequality carefully formed from alphabet soup.$
$Sensing Spirals$
$ENGINEER.$
$Butterfly Filter. Graphical description of the Fast Fourier Transform process which systematically continues to factor the problem in two. This process allows the FFT routine to drop to O(N log N ) operations.$
$Cactus Calculus$
$2.5 mm water droplet impact on a surface. Collaboration photo with Danny Bolleddula. <br /> <br /> Images of this type are being used to research droplet impact features at the University of Washington. Droplet impact is a phenomena prevalent in numerous industrial applications spanning from spraying insecticides to internal combustion engines. However, many applications such as inkjet printing and the spray coating of pharmaceutical drugs involve complex rheological solutions.$
$Rate of decay$
$Vorticity Streamfunction solution for two opposite charge Gaussians (How a waterskipper moves). I did a matlab project to solve the partial differential equation and make a video of the vortex flow shown above. Movie link: <a href="http://www.heatherdillon.com/Science/Math/2008-12-AMATH581/6795384_xetLy#434825075_PyDYQ">http://www.heatherdillon.com/Science/Math/2008-12-AMATH581/6795384_xetLy#434825075_PyDYQ</a>$

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