The Ben Paul Thurston Blog

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

Monday, September 28, 2015

Odd even Triangle Square theorem

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First you have the triangular numbers: T(i) = 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55 Then the square numbers both indexed with the first n...

pi from recursive square roots of 2

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For example: In general the coefficient should be the nth power of 2  and the recursive square root has log_2(n) 2's when it...
Wednesday, September 16, 2015

Recurrence grids

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First you have a set of points that make lines like so: This represents the line from (x1, y1) to (x2, y2) and we give it an initial valu...
Monday, September 14, 2015

Euler's theorem for non planar graphs

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I noticed: Where V is the number of vertices, E is the number of edges, X is the number of times a line crosses one or more other lines...
Sunday, September 13, 2015

12 depth sorting network that might extend to any power of 2

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This wikipedia article gives a pretty good introduction to the topic: https://en.wikipedia.org/wiki/Sorting_network The above is a ve...
Friday, August 28, 2015

Function cipher

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Suppose you have a message m that is in an alphabet with n symbols indexed as x symbols... H e l l o ,   t h i  s     i  s     t  h  e    ...
Monday, August 3, 2015

72 comparator 9 depth 16 item possibly extensible to power of 2 sorting network

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The above is a sorting network for 16 items that I haven't yet proven works every time; but it correctly sorted many random lists c...
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