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qchu.wordpress.com
| | ncatlab.org
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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...
| | bartoszmilewski.com
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| | Abstract: I derive a free monoidal (applicative) functor as an initial algebra of a higher-order functor using Day convolution. I thought I was done with monoids for a while, after writing my Monoids on Steroids post, but I keep bumping into them. This time I read a paper by Capriotti and Kaposi about Free Applicative...
| | uncommongenders.home.blog
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| [AI summary] The post discusses the creation of a moodboard featuring soft, floral elements and gender-neutral themes, with a focus on aesthetic design and personal expression.