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MATRIX REPRESENTATIONS OF AMPLE SEMIGROUPS
Journal of Algebra and Its Applications, 2013An adequate semigroup S is said to be ample if for any e2 = e, a ∈ S, ae = (ae)†a and ea = a(ea)*. It is well known that inverse semigroups are ample semigroups. The purpose of this paper is to study matrix representations of an ample semigroup. Some properties of ample semigroups are obtained.
Guo, Xiaojiang, Shum, K. P.
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Matrix representation of a w-graph
Journal of the Franklin Institute, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Matrix Representation of Thermodynamic Fundamentals
American Journal of Physics, 1957The use of matrices for representing fundamental thermodynamic relations is demonstrated. Maxwell's relations and other thermodynamic derivatives are readily obtained by differentiation of the matrices defined.
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The matrix representation of pharmacokinetic models
Journal of Theoretical Biology, 1979Abstract An equation is developed from the matrix of rate constants which describes the behaviour of linear pharmacokinetic models for any initial condition as a function of time. This general matrix equation is then used to derive analogous expressions for drug distribution after a period of infusion, at the steady state, or during a multiple ...
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A Matrix of Material Representation.
Proceedings of DRS, 2004Zuo, H., Jones, Mark, Hope, Tony
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A matrix representation of phylogenetic trees
1997In this paper we begin by describing two currently used methods for evaluating phylogenetic trees, one proposed by Fitch and Margoliash [5] and the other proposed by Saitou and Nei [7]. Both methods are heuristic in the sense that not all possible trees are tested to ensure that the best solution has been reached.
Sanzheng Qiao, William S.-Y. Wang
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Finiteness Properties of Matrix Representations
The Annals of Mathematics, 1986Let \(\Gamma_ n={\mathbb{Z}}[x_{ij}:\) \(i,j=1,...,n]\) be the polynomial ring in \(n^ 2\) variables with integer coefficients. For each polynomial \(\phi \in \Gamma_ n\) there is a map of \(M_ n(A)\), of the set of \(n\times n\) matrices over the commutative ring A with 1, into A, where to each matrix \([a_{ij}]\) there corresponds the element \(\phi (
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MATRIX REPRESENTATIONS OF SEMIGROUPS
The Quarterly Journal of Mathematics, 1958openaire +2 more sources