Browsing Department of Mathematics by Title
Now showing items 175-194 of 570
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Functionality and Robustness of Injured Connectomic Dynamics in C. elegans: Linking Behavioral Deficits to Neural Circuit Damage
(PLOS, 2017-01-05)**Please note that the full text is embargoed** ABSTRACT: Using a model for the dynamics of the full somatic nervous system of the nematode C. elegans, we address how biological network architectures and their functionality ... -
A Further Look at the Comparison of Normal Percentile Estimators
(University of Texas at ArlingtonDepartment of Mathematics, 1978-03)**Please note that the full text is embargoed** ABSTRACT: For the purpose of making a pairwise comparison of point estimators of normal percentiles, a twofold technique is introduced which basically examines ,(a) the "odds" ... -
General Moment Methods for a Class of Nonlinear Models
(University of Texas at ArlingtonDepartment of Mathematics, 1977)**Please note that the full text is embargoed** ABSTRACT: This paper deals with the following problems: (i) the development of a general theory which incorporates several methods as special cases; (ii) the applicability ... -
General Uniqueness Criteria for Ordinary Differential Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1982-02)**Please note that the full text is embargoed** ABSTRACT: This paper generalizes various uniqueness results and offers very general uniqueness criteria which include different types of results considered so far. -
A Generalized Approach To Darboux Transformations For Differential Equations
(Mathematics, 2014-07-14)A Darboux transformation is a mathematical procedure to produce a solution to a differential equation when the solution to a related differential equation is known. The basic idea behind a Darboux transformation is to ... -
Generalized Gradient Methods for Solving Locally Lipschitz Feasibility Problems
(University of Texas at ArlingtonDepartment of Mathematics, 1990-12)**Please note that the full text is embargoed** ABSTRACT: In this paper we study the behavior of a class of iterative algorithms for solving feasibility problems, that is finite systems of inequalities [see pdf for ... -
Generalized Hopf Bifurcation and h-Asymptotic stability
(University of Texas at ArlingtonDepartment of Mathematics, 1979-11)**Please note that the full text is embargoed** ABSTRACT: The prevalent approach to the Hopf bifurcation problem is to prove directly the existence of the bifurcating periodic orbits by using such standard procedures as ... -
Generalized Hopf Bifurcation in Rn and h-Asymptotic Stability
(University of Texas at ArlingtonDepartment of Mathematics, 1979-10)**Please note that the full text is embargoed** -
Generalized Inverse Scattering Transform For The Nonlinear Schrödinger Equation
(Mathematics, 2008-08-08)The nonlinear Schrödinger (NLS) equation describes wave propagation in optical fibers, and it is one of the most well-known nonlinear partial differential equations. In 1972 Zakharov and Shabat introduced a powerful method ... -
Generalized Stability of Motion and Vector Lyapunov Functions
(University of Texas at ArlingtonDepartment of Mathematics, 1976-06)**Please note that the full text is embargoed** ABSTRACT: The direct theory for stability of motion in terms of vector Lyapunov functions and the general comparison method is well-developed [4, 5, 6, 7] and ... -
Generalized Transversality, Exchange of Stability and Hopf Bifurcation
(University of Texas at ArlingtonDepartment of Mathematics, 1981-02)**Please note that the full text is embargoed** ABSTRACT: In Hopf bifurcation theory often an exchange of stability of an equilibrium gives rise to the creation of periodic orbits for a one parameter family of differential ... -
The Generalized Two-component Hunter-Saxton System
(Mathematics, 2013-07-22)This thesis is concerned with the generalized two-component Hunter-Saxton system. In the periodic setting, we study the wave-breaking phenomenon and global existence for the generalized two-component Hunter-Saxton system. ... -
The Generation of Turbulence in a Compressed Gas
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: A molecular mechanics type formulation is applied to generate turbulence in a compressed gas. Turbulence is defined in terms of the rapid appearance and disappearance ... -
A Geometric Inequality for Convex Polygons
(University of Texas at ArlingtonDepartment of Mathematics, 2001-05)**Please note that the full text is embargoed** ABSTRACT: Consider a regular polygon with vertices P1, P2, , Pn. Assume P is an interior point. Let [see pdf for notation] denote the Euclidean distance from P to Pi, i = ... -
A Geometric Inequality in Pharmacokinetics
(University of Texas at ArlingtonDepartment of Mathematics, 2006-02)**Please note that the full text is embargoed** ABSTRACT: The arithmetic-geometric mean inequality is used to give a lower bound for the average concentration in a two-compartmental model in pharmacokinetics. A geometric ... -
Geometrical Problems in Engineering Mechanics
(University of Texas at ArlingtonDepartment of Mathematics, 2005-11)**Please note that the full text is embargoed** ABSTRACT: Four problems in two dimensional geometry are presented, which are applicable to education of the basic courses, statics. These problems represent geometrical ... -
Geometry of Post's Correspondence Problem
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Orthogonality of vectors with integer coordinates in an n-dimensional Euclidean space is used to show that Post's correspondence problem is solvable for words over ... -
A Globally Convergent Numerical Method For Coefficient Inverse Problems
(Mathematics, 2009-09-16)In our terminology "globally convergent numerical method" means a numerical method, whose convergence to a good approximation for the correct solution is independent of the initial approximation. A new numerical imaging ... -
Graphical analysis of evolutionary trade-off in sylvatic Trypanosoma cruzi transmission modes
(ElsevierDepartment of Mathematics, University of Texas at Arlington, 2014-07)**Please note that the full text is embargoed** ABSTRACT: The notion of evolutionary trade-off (one attribute increasing at the expense of another) is central to the evolution of traits, well-studied especially in life-history ... -
Greedy and Optimal Paths in a Weighted Graph Without Circuits and Applications to a Class of Optimization Problems on Finite Posets
(University of Texas at ArlingtonDepartment of Mathematics, 1983-05)**Please note that the full text is embargoed** ABSTRACT: In several recent papers B. Korte and L. Lovasz considered a mathematical structure called a simple language on which a greedy algorithm can operate (see [31,J41, ...