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djalil.chafai.net | ||
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lucatrevisan.wordpress.com
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| | | | | Welcome to phase two of in theory, in which we again talk about math. I spent last Fall teaching two courses and getting settled, I mostly traveled in January and February, and I have spent the last two months on my sofa catching up on TV series. Hence I will reach back to last Spring,... | |
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nhigham.com
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| | | | | A real $latex n\times n$ matrix $LATEX A$ is symmetric positive definite if it is symmetric ($LATEX A$ is equal to its transpose, $LATEX A^T$) and $latex x^T\!Ax > 0 \quad \mbox{for all nonzero vectors}~x. $ By making particular choices of $latex x$ in this definition we can derive the inequalities $latex \begin{alignedat}{2} a_{ii} &>0... | |
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www.ethanepperly.com
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| | | | | [AI summary] The provided text is a detailed mathematical exploration of Markov chains, focusing on their convergence properties, the role of reversibility in ensuring convergence to a stationary distribution, and the analysis of total variation distance and chi-squared divergence as measures of convergence. It also includes derivations of bounds on the mixing time of Markov chains and the application of spectral properties of the transition matrix to analyze convergence rates. | |
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mathwithbaddrawings.com
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| | | This generalizes, of course, to the Theorem of How You Learn Stokes' Theorem. | ||
