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Physical Intuition, Not Mathematics (2011)
“What we call Man's power over Nature turns out to be a power exercised by some men over other men with Nature as its instrument.”
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The Simulated Annealing Algorithm
Simulated annealing is a method for finding a good (not necessarily perfect) solution to an optimization problem. If you're in a situation where you want to maximize or minimize something, your problem can likely be tackled with simulated annealing.
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Why telephone keypads are arranged the way they are
Why are the push buttons on a telephone arranged the way they are?
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Finding an Optimal Keyboard Layout for Swype
An overview of my work on optimizing phone keyboard layouts for Swype and T9. There's some interesting history here as well as a novel simulation-based approach to keyboard optimization.
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Brainfuck Optimization Strategies
In almost every computation a great variety of arrangements for the succession of the processes is possible, and various considerations must influence the selection amongst them for the purposes of a Calculating Engine. One essential object is to choose that arrangement which shall tend to reduce to a minimum the time…
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Maze Generation in Thirteen Bytes (2012)
Update 12/7/2012 @ 13:46: Peter Ferrie smashed my record by a single byte, so the record is now held by him at 12 bytes. Congrats, and I feel like a fool for missing it :-) I’ve tacked on h…
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Calculating the intersection area of 3 or more circles
While attempting to learn Javascript and D3.js a couple months ago, I wrote a little library for displaying area proportional venn diagrams .
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Implementing Levenshtein Automata
Thanks to Ken Hironaka for kindly taking a lot of time to read and fix countless errors in this blog post!
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Energy Is Not Conserved (2010)
I’ve been meaning to link to this post at the arXiv blog , which is a great source of quirky and interesting new papers. In this case they are pointing to a speculative but interesting paper by Martin Perl and Holger Mueller, which suggests an experimental search for gradients in dark energy by way of atom…
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Discrete Analysis – A new type of math journal
This post is to announce the start of a new mathematics journal, to be called Discrete Analysis. While in most respects it will be just like any other journal, it will be unusual in one important w…
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Are You Living In a Computer Simulation? (2003)
The original paper that introduced the simulation argument
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Stephen Wolfram, A New Kind of Science
Attention conservation notice : Once, I was one of the authors of a paper on cellular automata . Lawyers for Wolfram Research Inc. threatened to sue me, my co-authors and our employer, because one of our citations referred to a certain mathematical proof, and they claimed the existence of this proof was a trade secret…
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From 1,000,000 to Graham's Number
Graham's number is so big, we need a whole new set of tools to even discuss it.