vol22_pp448-465. 191KB Jun 04 2011 12:06:13 AM
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In this paper, we find an explicit formula for the generating function for the number of partitions of [ n ] with exactly k blocks according to the number of peaks (valleys) in terms
The following proposition is a consequence of [V], p.140, Theorem 2’ (the quoted theorem of Varopoulos is stronger than this statement):..
Polar decomposition, unitary factor, positive semidenite factor, unitarily invariant norm, Hadamard product, perturbation bound.. Our main result (Theorem 3.2) is a general
In the main Theorem 4.1 we show that regularity of interval matrices can be characterized in terms of determinants (Theorem 4.1, condition (xxxii)), matrix inverses (xxx),
Lemma 2.2 follows from [11, Theorem 1] (or see [12, Theorem 3.1]), in which the problem of classifying systems of forms and linear mappings over a field of characteristic not 2
In this paper, by investigating the Perron vector of G, we show that type-I-a graphs are not λ 1 -extremal graphs, and type-I-b (resp. type-II-a) graphs with some.. specified
In this paper, we will establish the above conjecture (Theorem 2.3) and also characterize all sign patterns that require eventual nonnegativity (Theorem 2.6) in terms of
In this paper, we generalize the asymptotic result of Esseen (1958) concerning the Wasserstein distance of order one in the mean central limit theorem to the Wasserstein distances
