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| | nhigham.com
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| | The Cayley-Hamilton Theorem says that a square matrix $LATEX A$ satisfies its characteristic equation, that is $latex p(A) = 0$ where $latex p(t) = \det(tI-A)$ is the characteristic polynomial. This statement is not simply the substitution ``$latex p(A) = \det(A - A) = 0$'', which is not valid since $latex t$ must remain a scalar...
| | 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...
| | rjlipton.com
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| | Can they inform computational complexity theory? Bill Gasarch and Christian Elsholtz both like primes and jokes and graphs and ways of sharing baked goods. Bill is a Professor of Computer Science at the University of Maryland; Elsholtz is an Associate Professor of Mathematics at T.U. Graz in Austria. They recently independently came up with a...
| | blog.hde.design
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