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Factorizing the doubly stochastic matrix where all entries are equal such that the factors are all convex combinations of few permutation matrices
Let $N_{n}=(1/n)_{i=1,j=1}^{n}$ be the $n\times n$-matrix where all the entries are equal.
Suppose $n>0$. Let $\delta_{n}$ be the least natural number such that $N_{n}$ can be factored as $N_{n}=A_{...
