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thehousecarpenter.wordpress.com
| | mattbaker.blog
3.7 parsecs away

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| | On Pi Day 2016, I wrote inthis post about the remarkable fact, discovered by Euler, thatthe probability that two randomly chosen integers have no prime factors in common is $latex \frac{6}{\pi^2}$. The proof makes use of the famous identity $latex \sum_{n=1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}$, often referred to as the "Basel problem", which is also due...
| | mikespivey.wordpress.com
5.3 parsecs away

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| | One of the most important theoretical results in linear programming is that every LP has a corresponding dual program. Where, exactly, this dual comes from can often seem mysterious. Several years ago I answered a question on a couple of Stack Exchange sites giving an intuitive explanation for where the dual comes from. Those posts...
| | qchu.wordpress.com
5.3 parsecs away

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| | This is a post I wanted to write some time ago; I've forgotten why, but it was short and cute enough to finish. Our starting point is the following observation: Theorem 1: Universal lossless compression is impossible. That is, there is no function which takes as input finite strings (over some fixed alphabet) and always...
| | curiousterran.wordpress.com
20.1 parsecs away

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