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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 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...
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....
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...
\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.