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GRAM MATRIX REPRESENTATION

2007
There are several ways of characterizing nonnegative polynomials that may be interesting for a mathematician. However, not all of them are appropriate for computational purposes, by “computational” understanding primarily optimization methods. Nonnegative polynomials have a basic property extremely useful in optimization: They form a convex set. So, an
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On Matrix Representations of Participation Constraints

2009
We discuss the existence of matrix representations for generalised and minimum participation constraints which are frequently used in database design and conceptual modelling. Matrix representations, also known as Armstrong relations, have been studied in literature e.g. for functional dependencies and play an important role in example-based design and
Sven Hartmann, Uwe Leck, Sebastian Link
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MATRIX PROBLEMS AND INTEGRAL REPRESENTATIONS

Mathematics of the USSR-Izvestiya, 1974
Given a linear matrix problem, an order is constructed whose representations are classified by the matrices of this problem. It is shown that problems about representations of partially ordered sets are included in this scheme.
Drozd, Ju. A.   +2 more
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The S-Matrix in the Heisenberg Representation

Physical Review, 1950
A method is described whereby the S-matrix can be formulated directly in the Heisenberg representation. This has the advantage over the customary formulation in the interaction representation in that the concepts of space-like surfaces and their normals need never be introduced.
Yang, C. N., Feldman, David
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Representation of Graphs on a Matrix Layout

Ninth International Conference on Information Visualisation (IV'05), 2006
The need to visualize network data becomes increasingly crucial, as it appears in numerous domains like Web visualization, computer network monitoring, or social studies. Graphs and matrices are two well-known techniques to visualize network data.
Benoît Otjacques, Fernand Feltz
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Matrix representation in pattern classification

Expert Systems with Applications, 2012
Highlights? Texture descriptors are used in standard pattern classification problems. ? Local ternary patterns and local phase quantization permits to handle the correlation among the original features. ? Texture descriptors along with the vector-based descriptors can be combined to improve the performance of support vector machine.
L. Nanni, S. Brahnam, LUMINI, ALESSANDRA
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MATRIX REPRESENTATIONS OF AMPLE SEMIGROUPS

Journal of Algebra and Its Applications, 2013
An 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 Thermodynamic Fundamentals

American Journal of Physics, 1957
The 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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Matrix representation of a w-graph

Journal of the Franklin Institute, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The matrix representation of pharmacokinetic models

Journal of Theoretical Biology, 1979
Abstract 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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