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xorshammer.com
| | jmanton.wordpress.com
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| | If $latex Y$ is a $latex \sigma(X)$-measurable random variable then there exists a Borel-measurable function $latex f \colon \mathbb{R} \rightarrow \mathbb{R}$ such that $latex Y = f(X)$. The standard proof of this fact leaves several questions unanswered. This note explains what goes wrong when attempting a "direct" proof. It also explains how the standard proof...
| | www.cs.uic.edu
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| | unstableontology.com
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| | (note: some readers may find the LaTeX more readable on LessWrong.) In this post I prove a variant of Gödel's completeness theorem. My intention has been to really understand the theorem, so that I am not simply shuffling symbols around, but am actually understanding why it is true. I hope it is helpful for at...
| | armourersbench.com
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| It's been eight years since Glock introduced the Gen 5 series of pistols. Now they've introduced their next generation. Since its introduction in 1982, Glock has shaped how we think about pistols. And while the pistols introduce since then haven't been as revolutionary they've proven the Glock is good at iterative innovation. The Gen 6...