The Ben Paul Thurston Blog

Math, Movies, Science, Computers, and so on...

Monday, April 27, 2015

Distributed bubble sorting

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I was trying to think of a way to split a sorting task over many processors like for instance on a gpu, my rough idea is this... First th...
Thursday, March 5, 2015

Telling whether a point is in a simple polygon in O(n) time

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This algorithm combines two other algorithms that have been developed to make a very fast way to tell whether a point is inside a simple pol...
Monday, March 2, 2015

Area by continuously scaling generalized radius

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Suppose you have a square... Imagine you start with a square of a sort of generalized idea of radius R, the perimeter will be 8*r, and s...
Thursday, February 26, 2015

Record surface interpolation

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Just thinking that the spiral groove on a record is a sort of space filling curve in the limit in polar coordinates... here dividing coeffic...
Sunday, February 22, 2015

Plane cross theorem

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Some definitions: The centroid of all the points is C The centroid of all the points except point A is C(A) V is the normalized vector fr...
Friday, February 20, 2015

Lattice for nearest neighbor

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Supposing you have some metric space with well defined midpoints, here just a plane with points... Start making a latice by picking a poi...
Monday, February 16, 2015

Dissolution of a polynomial

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Suppose you have a polynomial of, for example, degree 3: Because the first term is 5, you can imagine that it had 3 roots like: Then ...
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