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You are here		cp4space.hatsya.com The exceptional Jordan algebra \| Complex Projective 4-Space
\|	\|	terrytao.wordpress.com The Golden-Thompson inequality \| What's new	4.2 parsecs away Travel
\|	\|	Let $latex {A, B}&fg=000000$ be two Hermitian $latex {n \times n}&fg=000000$ matrices. When $latex {A}&fg=000000$ and $latex {B}&fg=000000$ commute, we have the identity $latex \dis...	4.2 parsecs away Travel
\|	\|	almostsuremath.com Algebraic Probability - Almost Sure	2.8 parsecs away Travel
\|	\|	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...	2.8 parsecs away Travel
\|	\|	qchu.wordpress.com Meditation on the Sylow theorems II \| Annoying Precision	4.2 parsecs away Travel
\|	\|	In Part I we discussed some conceptual proofs of the Sylow theorems. Two of those proofs involve reducing the existence of Sylow subgroups to the existence of Sylow subgroups of $latex S_n$ and $latex GL_n(\mathbb{F}_p)$ respectively. The goal of this post is to understand the Sylow $latex p$-subgroups of $latex GL_n(\mathbb{F}_p)$ in more detail and...	4.2 parsecs away Travel
\|	\|	alexhwilliams.info Everything you did and didn't know about PCA · Its Neuronal	21.8 parsecs away Travel
\|		[AI summary] A technical blog post explaining the mathematical foundations of Principal Component Analysis (PCA), its various generalizations like Sparse and Non-negative Matrix Factorization, and practical considerations for choosing components and handling missing data.	21.8 parsecs away Travel