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This link recently saved by nik.silver on August 10, 2012
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"That was the question on my mind while walking out of an hour and a half meeting which was attended by 6 people. The problem wasn’t that complicated, we went into the meeting with 3 alternative solutions: so why did it take so long to pick one? It kept nagging me a bit and then I recalled the “Simple Architectures for Complex Enterprises
” book by Roger Sessions. By applying his approach I was able to determine if we made the right choice and I’ll describe the results below."
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This link recently saved by nik.silver on December 27, 2010
"One of the most interesting patterns that has ever been constructed in Conway’s Game of Life is primer, a gun that fires lightweight spaceships that represent exactly the prime numbers. [...] The gun works by firing lightweight spaceships westward, and destroying them via glider guns that emulate the Sieve of Eratosthenes. A lightweight spaceship makes it past the left edge of the gun at generation 120N if and only if N is a prime number (though for technical reasons, 2 and 3 are not outputted)." Holy moly. I had no idea Conway's Game of Life had any significant mathematical uses, let alone this.
This link recently saved by nik.silver on August 17, 2010
So, maybe the P=NP problem remains open: "There are two camps in our community on Deolalikar's [P != NP] paper. Those of us who saw Deolalikar's paper as just another in a long series of bad attempts at P v NP and wondering what all the fuss was about. [...] Deolalikar at this point should retract his P ≠ NP claim until he can address all these issues. In an email Deolalikar sent out to the gang of 22 on Friday the 13th, he restates his claim and overview of the proof and says he "fixed the issues in the finite model theory portion of the proof". He promises a revised version on his homepage in a couple of days. Deolalikar is following the script, currently at stage 5 of the 12 stage process. Stage 6 will happen soner than he expects." The 12 stage process, linked, is particularly damning.