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isaacslavitt.com
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| | | | | Mathematical Analysis of Battleship | |
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freerangestats.info
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| | | | | When playing Snakes and Ladders with the common rules actually used, it is more complex than a simple mathematical model; I simulate games and put forward some findings that could be useful in a future high stakes Snakes and Ladders game. | |
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djalil.chafai.net
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| | | Let $X$ be an $n\times n$ complex matrix. The eigenvalues $\lambda_1(X), \ldots, \lambda_n(X)$ of $X$ are the roots in $\mathbb{C}$ of its characteristic polynomial. We label them in such a way that $\displaystyle |\lambda_1(X)|\geq\cdots\geq|\lambda_n(X)|$ with growing phases. The spectral radius of $X$ is $\rho(X):=|\lambda_1(X)|$. The singular values $\displaystyle s_1(X)\geq\cdots\geq s_n(X)$ of $X$ are the eigenvalues of the positive semi-definite Hermitian... | ||