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Now showing items 51-59 of 59

### A Peano Continuum which is Homogeneous but not Bihomogeneous

(2008-09-09)

The author describes in detail the construction of a Peano continuum which is homogeneous and non-bihomogeneous. This continuum was originally constructed by G. Kuperberg in the paper Another homogeneous, non-bihomogeneous ...

### A Comparison of Two Proofs of Yamamoto's Theorem Relating Eigenvalue Moduli and Singular Values of a Matrix

(2008-09-09)

We examine two proofs of Yamamoto’s theorem regarding the asymptotic relationship
between singular values and eigenvalue moduli of a matrix. The first proof is by T.
Yamamoto in 1967 and makes use of compound matrices. ...

### Triangle Centers and Kiepert's Hyperbola

(2008-09-09)

In this paper, we discuss the proofs of the primary classical triangle centers and Kiepert's Hyperbola as a solution to Lemoine's Problem. The definitions of terms which will be used throughout the paper are presented. ...

### 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 ...

### The Triangle Intersection Problem For Hexagon Triple Systems

(2008-09-09)

The Triangle Intersection Problem for Hexagon Triple Systems
Carl S. Pettis, Auburn University
A hexagon triple is the graph
and a hexagon triple system is an edge disjoint decomposition of ...

### On Frobenius numbers in three variables

(2008-09-09)

Given a set of relatively prime positive integers
$\{a_1,a_2,\ldots, a_n\}$, after some point all positive integers are representable as a linear combination of the set with nonnegative coefficients. Which integer is the ...

### On the Spectrum of Minimal Covers By Triples

(2008-09-09)

A Minimal Cover by Triples is an ordered pair (V,T) where V is a finite set and T is a
collection of three element subsets of V with two properties. First, that every pair of elements
of V appear together in at least ...

### Iteration Methods for Approximation of Solutions of Nonlinear Equations in Banach Spaces

(2008-09-09)

The objective in this manuscript is to study some iterative methods used to approximate
solutions of nonlinear equations in Banach Spaces. In particular, we study a Halperntype
iterative scheme in relation to nonexpansive ...

### On The Lattice Boltzmann Method: Implementation and Applications

(2008-09-09)

We studied the development and different types of the Lattice Boltzmann method. We gave several implementations. Then we presented two moving boundary treatments for the Lattice Boltzmann method, the second one is new. We ...