The Ben Paul Thurston Blog
Math, Movies, Science, Computers, and so on...
Saturday, June 28, 2014
Electric Game Grid
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The board is constructed as follows, a grid of wires runs across vertically and horizontally, but anywhere two lines intersect is insulated...
Thursday, June 26, 2014
Algebraically solving for musical canon features
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To make a simple musical canon I had to decide first what features I wanted. I decided that I wanted an 8 note melody for voice 1, voice 2 t...
Wednesday, June 11, 2014
Integral equal to sum in the limit with a focus on the zeta function
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Consider this formula: First consider the function inside the integrand without the f(x) as 2*n increases: See that as 2*n gets larg...
Sunday, June 8, 2014
Application of the integral version of a sum I found to the zeta function
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In the last post I showed this formula relating integrals and sums: I found as an application of this formula that it can be used with...
Tuesday, June 3, 2014
A relationship between sums and integrals
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I found this nice formula relating sums and integrals: For example, with f(i) = 1/(2^i) To see why consider this plot for the func...
Sunday, May 25, 2014
180 degree vision
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I took a video panning the camera from left to right and took the very middle column of each frame of the video and stitched them to make th...
Tuesday, May 20, 2014
Rectangle billiard solution
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Suppose you have a table and a linear paramterization for a ball on the table... These equations tell you where on the table you'l...
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