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 mattbaker.blog
A p-adic proof that pi is transcendental | Matt Baker's Math Blog
| | terrytao.wordpress.com
245B, Notes 12: Continuous functions on locally compact Hausdorff spaces | What's new
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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
| | almostsuremath.com
Algebraic Probability - Almost Sure
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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...
| | qchu.wordpress.com
The man who knew partition asymptotics | Annoying Precision
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| | (Part I of this post ishere) Let $latex p(n)$ denote the partition function, which describes the number of ways to write $latex n$ as a sum of positive integers, ignoring order. In 1918 Hardy and Ramanujan proved that $latex p(n)$ is given asymptotically by $latex \displaystyle p(n) \approx \frac{1}{4n \sqrt{3}} \exp \left( \pi \sqrt{ \frac{2n}{3}...
| | vankessel.io
Introduction to Neural Networks | Kara van Kessel
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| A blog for my thoughts. Mostly philosophy, math, and programming.