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matheuscmss.wordpress.com | ||
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mycqstate.wordpress.com
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| | | | | [7/9/17 Update: Following a suggestion by Oded Regev I upgraded Section 1 from "probabilistic functions" to "matrix-valued functions". This hopefully makes it a more useful, and interesting, mid-point between the classical analysis of BLR and the non-abelian extension discussed afterwards. I also fixed a bunch of typos -- I apologize for the many remaining ones.... | |
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lucatrevisan.wordpress.com
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| | | | | In which we show how to find the eigenvalues and eigenvectors of Cayley graphs of Abelian groups, we find tight examples for various results that we proved in earlier lectures, and, along the way, we develop the general theory of harmonic analysis which includes the Fourier transform of periodic functions of a real variable, the... | |
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qchu.wordpress.com
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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}... | |
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dismalsci.wordpress.com
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| | | As an experiment, I have recently started using Vim as my primary text editor. While I have been an Emacs aficionado for a very, very long time - clocking in at almost 16 years - Vim is something that I have always been curious about, and tinkered with from time to time, while ending up... | ||
