Browsing Technical Papers - DO NOT EDIT by Title
Now showing items 140-159 of 349
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Mathematical Analysis of Stress Relaxation in Articular Cartilage During Compression
(University of Texas at ArlingtonDepartment of Mathematics, 1977-02)**Please note that the full text is embargoed** ABSTRACT: Articular cartilage is the avascular bearing material covering the articulating ends of the mating bony segments of synovial joints. Functionally articular cartilage ... -
A Mathematical Curiosity in Estimating the Radius of the First Ring Electrons of an Arbitary Atom
(University of Texas at ArlingtonDepartment of Mathematics, 1984)**Please note that the full text is embargoed** ABSTRACT: In this note, we explore an elementary method for approximating the radii and speeds of first ring electrons in atoms. The approach uses only a single algebraic ... -
Mathematical Modeling in Medicine
(University of Texas at ArlingtonDepartment of Mathematics, 1976-09)**Please note that the full text is embargoed** ABSTRACT: Although the involvement of mathematics in medicine is still relatively recent, the discipline has become attractive to the mathematics community, and in fact, ... -
Mathematical Models of Porous Flow
(University of Texas at ArlingtonDepartment of MathematicsDepartment of Mathematics, 1978-10)**Please note that the full text is embargoed** ABSTRACT: In this paper a new, viable mathematical approach to the analysis of porous flow is developed. Liquids and solids are modeled as sets of particles which interact ... -
Matrix Fields Over the Integers Modulo m
(University of Texas at ArlingtonDepartment of Mathematics, 1974-10)**Please note that the full text is embargoed** ABSTRACT: Let Zm denote the ring of integers modulo m and let [see pdf for notation] denote the complete ring of all [see pdf for notation] matrices over Zm under the usual ... -
Maximal and Minimal Solutions and Comparison Principle for Differential Equations in Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1975-06)**Please note that the full text is embargoed** ABSTRACT: Existence of maximal and minimal solutions for differential equations in abstract cones is established without requiring uniform continuity. Utilizing such a result ... -
Maximal and Minimal Solutions and Comparison Results for Differential Equations in Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1974-04)**Please note that the full text is embargoed** ABSTRACT: As is well known, an important technique in the theory of differential equations is concerned with estimating a function satisfying a differential inequality by ... -
Melting Points of Atomic and Homogeneous, Diatomic Molecular Solids Via the Four-Body Problem
(University of Texas at ArlingtonDepartment of Mathematics, 1992-10)**Please note that the full text is embargoed** ABSTRACT: For a regular tetrahedral arrangement of four identical atoms, the minimum velocity of one atom, required for that atom to pass through the plane of the other three, ... -
A Method for Approximating the Solution Set of a System of Convex Inequalities by Polytopes
(University of Texas at ArlingtonDepartment of Mathematics, 1990-12)**Please note that the full text is embargoed** ABSTRACT: In this note a method for computing approximations by polytopes of the solution set [see pdf for notation] of a system of convex inequalities is presented. It ... -
The Method of Nonlinear Variation of Constants for Difference Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1977-06)**Please note that the full text is embargoed** ABSTRACT: A method of nonlinear variation of constants for discrete difference equations is developed, which generalizes a well-known linear variation of constants formula. ... -
Method of Quasi-Upper and Lower Solutions in Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1981-05)**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with ||•|| and let E* denote the dual of E. Let K C E be a cone, that is, a closed convex subset such that ^K C K for every ^ ≥ 0 and ... -
The Method of Quasilinearization and Positivity of Solutions in Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1976-03)**Please note that the full text is embargoed** ABSTRACT: The method of quasilinearization was first introduced by Bellman (Ref. 1) and was developed further by Kalaba (Ref. 2). More detailed information concerning the ... -
The Method of Upper, Lower Solutions and Volterra Integral Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1980-12)**Please note that the full text is embargoed** ABSTRACT: In employing the method of upper and lower solutions to dynamical systems, one is required to impose a certain monotone property on the given system [5,6,11] When ... -
Methodology for Testing Homogeneity of Variances
(University of Texas at ArlingtonDepartment of Mathematics, 1979-02)**Please note that the full text is embargoed** ABSTRACT: Suppose random samples are drawn from each of n populations with unknown means and variances. Developing procedures to test the claim that the population variances ... -
Minimal and Maximal Solutions of Nonlinear Boundary Value Problems
(University of Texas at ArlingtonDepartment of Mathematics, 1976-08)**Please note that the full text is embargoed** ABSTRACT: This paper is concerned with the construction of the minimal and the maximal solutions of the nonlinear boundary value problem [see PDF for equation] under ... -
Minimum Path Problems in Normed Spaces, Reflection and Refraction
(University of Texas at ArlingtonDepartment of Mathematics, 1996)**Please note that the full text is embargoed** ABSTRACT: The main minimum (or extremum) path problem in this paper deals with the "law of refraction" at a curve separating the plane into two parts with different norms. ... -
Minkowski's Inequality for Convex Curves
(University of Texas at Arlingtonhttp://hdl.handle.net/10106/2458, 2001-05)**Please note that the full text is embargoed** ABSTRACT: Minkowski's inequality is a relation between mixed areas of two curves and their respective areas. The concept of mixed area is defined. A variational technique is ... -
A Modified Greenberg Speed-flow Traffic Model
(University of Texas at ArlingtonDepartment of Mathematics, 2008)**Please note that the full text is embargoed** ABSTRACT: A modified Greenberg speed-flow model is proposed. We assume speed is a logarithmic function of free-flow speed, concentration and a minimum constant density. ... -
Molecular Cavity Flow
(University of Texas at ArlingtonDepartment of Mathematics, 1998-01)**Please note that the full text is embargoed** ABSTRACT: Using molecular mechanics, cavity flow is studied in a basin of 4235 water molecules at 15°C. Primary vortices are generated with wallspeeds [see pdf for notation]. ... -
A Molecular Mechanics Simulation of Cracks and Fractures in a Sheet of Ice
(University of Texas at ArlingtonDepartment of Mathematics, 1998-07)**Please note that the full text is embargoed** ABSTRACT: Rectangular, two dimensional sheets of ice molecules are both stressed and compressed. Computer examples compare dynamical responses when the plate has a slot or ...