Results 271 to 280 of about 415,107 (313)

Finiteness Properties of Matrix Representations

The Annals of Mathematics, 1986
Let \(\Gamma_ n={\mathbb{Z}}[x_{ij}:\) \(i,j=1,...,n]\) 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 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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Representation of Damping Matrix

Journal of Engineering Mechanics, 1991
This paper deals with the representation of the damping matrix in terms of mass and stiffness matrices. A relationship is proposed that can represent not only Rayleigh damping, but also the general nonproportional damping. This proposed relationship is mathematically based on a theorem of matrix representation that, under certain circumstance (which ...
Z. Liang, G. C. Lee
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SQC Matrix Representation

2010
In this chapter we will report on another direction of investigation for SQC, which has received some attention. Instead of using a differential operator representation for the fermionic momenta (see Chap. 5 of either volume), a matrix representation is employed. The ground-breaking importance of the matrix representation approach should not be ignored.
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Matrix representations of semigroups

Mathematical Proceedings of the Cambridge Philosophical Society, 1957
In a previous paper, the author gave necessary and sufficient conditions for the algebra of a finite semigroup S over a field of suitable characteristic to be semisimple. When this algebra is semisimple, the matrix representations of S over are completely reducible.
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Matrix Representation of Polarization

Reviews of Modern Physics, 1961
The use of density matrix and Stokes parameters to describe polarization enables representation of cross sections of polarization-sensitive interactions in matrix form to be made. An extensive treatment of this representation mode is presented for photons, electrons, neutrons, and for photon-electron interactions. (D.L.C.)
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The biofilm matrix: multitasking in a shared space

Nature Reviews Microbiology, 2022
Hans-Curt Flemming, Eric D Van Hullebusch, Thomas R Neu   +2 more
exaly  

Matrix Representation

2017
Ravi P. Agarwal, Cristina Flaut
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Matrix Representations

2000
Joan M. Aldous, Robin J. Wilson
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Matrix Representations

1986
John E. Hershey, R. K. Rao Yarlagadda
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