The Ben Paul Thurston Blog

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

Friday, July 25, 2014

DC to 60 hz AC square wave converter

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Above: Red, black, green and purple are copper electrodes, copper colored is two separate pieces of solid copper, and blue is non-conduc...
Thursday, July 24, 2014

Smooth step sum of functions

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This function is all operations in base 2 for ease of calculation on a computer... h is the height and a is a point on the x-axis, li...
Friday, July 18, 2014

solar distiller

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I made like five or six improvements to my solar distiller idea... it was hard to get a good picture of the shape of the plastic lid, the ...
Thursday, July 17, 2014

Integral estimate from many short quadratic functions...

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The end result is: The reasoning is, suppose you have your function f(x) and a point a, then these two functions are close to equal a...
Wednesday, July 16, 2014

solar distiller

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I built this to distill dirty water into clean water, you put the 2-liter of bad water into the receiver which is made out of the top of a S...
Tuesday, July 15, 2014

Accurate estimation of arclength

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To show the basic principle with a simple example, let's start with x^2 from 0 to 2: One could use the arclength formula to find the...
Sunday, July 6, 2014

Pick's Theorem and Gauss's Circle problem

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Gauss's circle problem asks a question that at it's heart concerns how many integer lattice points are inside or on the circle on a ...
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