Browsing Technical Papers - DO NOT EDIT by Title
Now showing items 133-152 of 349
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The Laplace Transform of the Linear Car-following Model
(University of Texas at ArlingtonDepartment of Mathematics, 2008)**Please note that the full text is embargoed** ABSTRACT: Laplace transform is used to analyze the differential-difference equation for the linear car-following model. The car-following model has been developed to describe ... -
The Least Square Values and the Shapley Value for Cooperative TU Games
(University of Texas at ArlingtonDepartment of Mathematics, 2003-05)**Please note that the full text is embargoed** ABSTRACT: The Least Square Values (briefly LS-values), represent a family of values for cooperative transferable utility games, introduced by L. Ruiz. F. Valenciano and ... -
Linear Algebraic Computational Procedures for System Identification Problems
(University of Texas at ArlingtonDepartment of Mathematics, 1977-05)**Please note that the full text is embargoed** ABSTRACT: An algorithm is presented for identifying exponentials sums [see pdf for notation] from discrete data [see pdf for notation] The algorithm determines the number ... -
Linear Monotone Method for Nonlinear Boundary Value Problems in Banach Spaces
(University of Texas at ArlingtonDepartment of Mathematics, 1981-05)**Please note that the full text is embargoed** ABSTRACT: One of the most useful techniques in proving the existence of multiple solutions of nonlinear boundary value problems (BVP for short) is the monotone iterative ... -
Local Atomic Temperature
(University of Texas at ArlingtonDepartment of Mathematics, 1989-10)**Please note that the full text is embargoed** ABSTRACT: For the study of phase-transition by molecular dynamics, the concept of local temperature is desirable. Such a concept is defined and studied in this paper. From ... -
Local Molecular Temperature
(University of Texas at ArlingtonDepartment of Mathematics, 1989-11)**Please note that the full text is embargoed** ABSTRACT: For the study of phase-transition by molecular dynamics, the concept of local temperature is desirable. Such a concept, defined and studied previously for atoms, ... -
Lyapunov-like Vector Functions Using Pointwise Degenerate Systems as Comparison Functions
(University of Texas at ArlingtonDepartment of Mathematics, 1974-04)**Please note that the full text is embargoed** ABSTRACT: The use of Lyapunov-like vector functions is recognized as an important tool for estimating the behavior of a dynamical system. In applications, one needs to determine ... -
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 ...