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| | ncatlab.org
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| | 11011110.github.io
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| | Suppose that \( f \) is a function that maps a set \( X \) to the positive real numbers. Then we can define a metric space from \( f \) by defining the dista...
| | 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...
| | brettjtalley.com
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| The Horror of Brett J. Talley