The Ben Paul Thurston Blog

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

Saturday, August 31, 2013

solving for the graceful graph

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Suppose you have a simple graph like so: And what you'd like to know is whether there is a way to label the vertices with integers ...
Wednesday, August 28, 2013

Nested focusing parabolas

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Doge Dish All the light coming in from x=4.5 to 10 gets focused to a spot about .1 across. I figured it out with a great program geogab...
Thursday, August 22, 2013

parametrization of quarter circle and higher dimensional similar curves

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It's easy to see by plugging into x^2 + y^2=1 that these two expressions in t satisfy the relationship. Also changing the square root...
Thursday, August 15, 2013

Examining the delta characteristic

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A month ago or so I defined on my blog that the delta characteristic for a graph such as: will be the solution to the set of equations of...
Thursday, August 8, 2013

Test for graph isomorphism

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I noticed if you translate 2 graphs into an connectivity matrix like so: These two graphs are obviously isomorphic as I've just ...
Thursday, August 1, 2013

Estimation of Gauss's circle problem

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Gauss's circle problem asks how many grid points are inside a circle of a certain radius, like here we have a circle of radius 8 and if ...
Monday, July 29, 2013

Estimating area of irregular region

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Suppose you have an irregular region with continuous boundary like this: I found that you can estimate the area pretty well by finding po...
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