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marc-b-reynolds.github.io
| | blog.demofox.org
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| | An irrational number is a number that can't be represented as a fraction using integers for the numerator and denominator. I'm a big fan of irrational numbers, and one of the biggest reasons for that is that they are great at making low discrepancy sequences, which give amazing results when used in stochastic (randomized) algorithms,...
| | blog.reverberate.org
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| | Author's note: this article used to be called "What Every ComputerProgrammer Should Know About Floating Point, part 1". Some peoplenoted that this was perh...
| | www.bearssl.org
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| | almostsuremath.com
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| The aim of this post is to motivate the idea of representing probability spaces as states on a commutative algebra. We will consider how this abstract construction relates directly to classical probabilities. In the standard axiomatization of probability theory, due to Kolmogorov, the central construct is a probability space $latex {(\Omega,\mathcal F,{\mathbb P})}&fg=000000$. This consists...