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Generalization of Ky Fan-Amir-Moez-Horn-Mirsky's result on the eigenvalues and real singular values of a matrix
(2008-09-09)
Ky Fan's result states that the real part of the eigenvalues of an n by n com-
plex matrix A is majorized by the eigenvalues of the Hermitian part of A. The
converse was established by Amir-Moez and Horn, and Mirsky, ...
The Lattice Gas Model and Lattice Boltzmann Model on Hexagonal Grids
(2008-09-09)
We present an overview of the FHP model and the Lattice BGK model. Details regarding boundary conditions and initial conditions are discussed throught implementations on driven cavity flow, Poiseuille flow, and flow past ...
A Study of Polya's Enumeration Theorem
(2008-09-09)
The controversial lemma, known most commonly as Burnside's Lemma, is stated and proven. The influential Polya's Enumeration Theorem is stated and proven. Computations using Polya's Enumeration Theorem are discussed and ...
Location-Scale Bivariate Weibull Distributions For Bivariate
(2008-09-09)
Much research has been conducted over the last thirty years in the development
and characterization of bivariate survival distributions. Typically, the multivariate
distribution is derived assuming that the marginal ...
Coefficient Space Properties and a Schur Algebra Generalization
(2008-09-09)
Let K be an infinite field and Gamma = GL_(n)(K). If we linearly extend the natural action of Gamma on the set E of n-dimensional column vectors over K to the group algebra KGamma, then E becomes a KGamma-module. We then ...
I-weight, special base properties and related covering properties
(2008-09-09)
Alleche, Arhangel'ski\u{\i} and Calbrix defined the notion of a sharp base and posed the question: Is there a regular space with a sharp base whose product with [0, 1] does not have a sharp base? Chapter 2 contains an ...