The Ben Paul Thurston Blog

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

Friday, March 29, 2013

T list of a graph

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So to create this list T, you first label all nodes of a graph as 1 in the first step. Then in the second step each vertex becomes the ...
Thursday, March 21, 2013

estimating Gauss's circle problem series

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Just something I noticed that: The average of the exterior square's number of grid points and the diagonally set interior square...
Wednesday, March 20, 2013

A solution to Gauss's circle problem

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This I'll put forward as the solution to Gauss's circle problem, a previously unsolved problem. See: http://en.wikipedia.org/wiki/G...

Finding the number of integer points on a curve

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I found this function that works very well for indicating whether a number is an integer or not: It evaluates to 1 if a number is an i...
Monday, March 11, 2013

Extruding a polynomial

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I happened to wonder whether you could take any polynomial like for example: and write it like this, as linear factors multiplied an...
Saturday, March 9, 2013

Map from planar graph

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I'll describe the steps I took below this picture... Step 1: start with a planar graph Step 2: Plot the midpoints of every lin...
Tuesday, March 5, 2013

Solving a 2d heat map progression over time

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Starting with the idea that the fundamental solution to the heat equation with one variable is: I've derived this equation for a kerne...
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