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theorydish.blog | ||
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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... | |
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francisbach.com
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terrytao.wordpress.com
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| | | | | A key theme in real analysis is that of studying general functions $latex {f: X \rightarrow {\bf R}}&fg=000000$ or $latex {f: X \rightarrow {\bf C}}&fg=000000$ by first approximating them b | |
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scottaaronson.blog
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| | | So I've written an article about the above questionfor PBS's website---a sort of tl;dr version of my 2005 survey paperNP-Complete Problems and Physical Reality, butupdated with new material about the simulation of quantum field theories and about AdS/CFT. Go over there, read the article (it's free), then come back here to talk about it if... | ||