منابع مشابه
Pseudo Kronecker Expressions for Symmetric Functions
ÐPseudo-Kronecker Expressions (PSDKROs) are a class of AND/ EXOR expressions. In this paper, it is proven that exact minimization of PSDKROs for totally symmetric functions can be performed in polynomial time. A new implementation method for PSDKROs is presented. Experimental results are given to show the efficiency of the presented approach in comparison to previously published work on AND/EXO...
متن کاملKronecker Products and BIBDs
Recursive constructions are given which permit, under conditions described in the paper, a (v, b, r, k, lambda)configuration to be used to obtain a (v', b', r', k, lambda)-configuration. Although there are many equivalent definitions we will mean by a (v, b, r, k, lambda)-configuration or BIBD that (0, 1)-matrix A of size v x b with row sum r and column sum k satisfying AAT = (r lambda)I + lamb...
متن کاملUnimodality via Kronecker Products
We present new proofs and generalizations of unimodality of the q-binomial coefficients ( n k ) q as polynomials in q. We use an algebraic approach by interpreting the differences between numbers of certain partitions as Kronecker coefficients of representations of Sn. Other applications of this approach include strict unimodality of the diagonal q-binomial coefficients and unimodality of certa...
متن کاملOn Kronecker products, tensor products and matrix differential calculus
The algebra of the Kronecker products of matrices is recapitulated using a notation that reveals the tensor structures of the matrices. It is claimed that many of the difficulties that are encountered in working with the algebra can be alleviated by paying close attention to the indices that are concealed beneath the conventional matrix notation. The vectorisation operations and the commutation...
متن کاملAnalyzing Markov Chains Based on Kronecker Products
Kronecker products are used to define the underlying Markov chain (MC) in various modeling formalisms, including compositional Markovian models, hierarchical Markovian models, and stochastic process algebras. The motivation behind using a Kronecker structured representation rather than a flat one is to alleviate the storage requirements associated with the MC. With this approach, systems that a...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2010
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2010.248.31