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www.encyclopediaofmath.org | ||
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alanrendall.wordpress.com
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| | | | | In a previous post I discussed the Brouwer fixed point theorem and I mentioned the fact that it applies to any non-empty closed bounded convex subset of a Euclidean space, since a subset of this kind is homeomorphic to a closed ball in a Euclidean space. However I did not prove the latter statement. I... | |
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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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terrytao.wordpress.com
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| | | | | In these notes we quickly review the basics of abstract measure theory and integration theory, which were covered in the previous course but will of course be relied upon in the current course. Th... | |
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www.psychedelicbabymag.com
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| | | Independent music magazine, covering alternative, underground, non-commercial and non-mainstream artists in variety of shapes and genres. | ||
