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matheuscmss.wordpress.com
| | 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....
| | terrytao.wordpress.com
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| | Many modern mathematical proofs are a combination of conceptual arguments and technical calculations. There is something of a tradeoff between the two: one can add more conceptual arguments to try ...
| | mattbaker.blog
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| | In my last blog post, I discussed a simple proof of the fact that pi is irrational. That pi is in fact transcendental was first proved in 1882 by Ferdinand von Lindemann, who showed that if $latex \alpha$ is a nonzero complex number and $latex e^\alpha$ is algebraic, then $latex \alpha$ must be transcendental. Since...
| | qchu.wordpress.com
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| As an undergraduate the proofs I saw of the Sylow theorems seemed very complicated and I was totally unable to remember them. The goal of this post is to explain proofs of the Sylow theorems which I am actually able to remember, several of which use our old friend The $latex p$-group fixed point theorem...