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grossack.site | ||
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bartoszmilewski.com
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| | | | | This is part 9 of Categories for Programmers. Previously: Functoriality. See the Table of Contents. So far I've been glossing over the meaning of function types. A function type is different from other types. Take Integer, for instance: It's just a set of integers. Bool is a two element set. But a function type a->b... | |
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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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www.jeremykun.com
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| | | | | Last time we investigated the (very unintuitive) concept of a topological space as a set of "points" endowed with a description of which subsets are open. Now in order to actually arrive at a discussion of interesting and useful topological spaces, we need to be able to take simple topological spaces and build them up into more complex ones. This will take the form of subspaces and quotients, and through these we will make rigorous the notion of "gluing" and "building" spaces. | |
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stupidityhole.com
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| | | 1 post published by Stupidity Hole on August 6, 2024 | ||
