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A few days ago I wrote a post on Newton’s diameter theorem. The theorem says to plot the curve formed by the solutions to f(x, y) = 0 where f is a polynomial in x and y of degree n...
Let f(x, y) be an nth degree polynomial in x and y. In general, a straight line will cross the zero set of f in n locations [1]. Newton defined a diameter to be any line that cross...
Ravi Kant’s recent Asia Times essay argues that the next world order will not be built like the old ones. Pax Britannica rested on sea lanes and finance. Pax Americana rested on ma...
In the last episode of my column in Notices of the American Mathematical Society, we looked at a particle moving in an attractive central force whose strength is proportional to th...
I'm working on a custom 3D software rendering engine in C# .NET. I originally started this project about 4 years ago and haven't done much since then. Yesterday, I finally took the...
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