Finite row-column exchangeable arrays.
Bassan, Bruno, Scarsini, Marco (1998)
Commentationes Mathematicae Universitatis Carolinae
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Finite row-column exchangeable arrays.
Generating functions for the number of permutations with limited displacement.
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In this article, we first define finite sequences of probability distribution and matrices of joint probability and conditional probability. We discuss also the concept of marginal probability. Further, we describe some theorems of matrices of real elements including quadratic form.
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Lubomír Kubáček (1970)
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This note presents a new proof of an important result due to Bourgain and Tzafriri that provides a partial solution to the Kadison-Singer problem. The result shows that every unit-norm matrix whose entries are relatively small in comparison with its dimension can be paved by a partition of constant size. That is, the coordinates can be partitioned into a constant number of blocks so that the restriction of the matrix to each block of coordinates has norm less than one half. The original...
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