Birkhoff's Theorem for Panstochastic Matrices

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The panstochastic analogue of Birkhoff's Theorem on doubly-stochastic matrices is proved in the case $n=5$. It is shown that this analogue fails when $n>1$, $n \ne 5$.
13 pages, no figures, AMSTeX, uses amsppt.sty. Version 4 has a few minor rewordings

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