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A Neighborhood of Infinity

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Memoizing Polymorphic Functions with High School Algebra and Quantifiers

Nov 5, 2009
A little while back Conal Elliott asked about the memoization of polymorphic types. I thought it'd be fun to describe how to memoize such functions in the same spirit as Ralph Hinze's use of tries to memoize non-polymorphic functions. Along the way...

Buffon's Needle, the Easy Way

Oct 31, 2009
Buffon's needle is a popular probability problem. Rule lines on the floor a distance d apart and toss a needle of length l<d onto it. What is the probability that the needle crosses a line? A solution is described at wikipedia but it involves a double...

"What Category do Haskell Types and Functions Live In?"

Oct 13, 2009
The question in my title is one that is often raised by Haskell programmers and it's a difficult one to answer rigorously and satisfyingly. But you may notice that I've put the question in quotes. This is because I'm not asking the question myself....

Vectors, Invariance, and Math APIs

Oct 10, 2009
Many software libraries, especially those for physics or 3D graphics, are equipped with tools for working with vectors. I'd like to point out how in these libraries the functions for manipulating vectors sometimes have special and useful properties...

test, ignore

Sep 29, 2009
\int_{0}^{1}\frac{x^{4}\left(1-x\right)^{4}}{1+x^{2}}dx =\frac{22}{7}-\pi You know, I think I won't delete this. It's a celebration of my having embedded some TeX using the advice at Bot Cyborg.


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