Browsing Department of Mathematics by Title
Now showing items 482-501 of 570
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Sample Solutions of Stochastic Boundary Value Problems
(University of Texas at ArlingtonDepartment of Mathematics, 1984-11)**Please note that the full text is embargoed** ABSTRACT: We prove existence theorems for nonlinear stochastic Sturmiouville problems which improve results from [4]. In the simplest case this is done by means of a known ... -
Sample Solutions of Stochastic Ordinary Differential Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1984-11)**Please note that the full text is embargoed** ABSTRACT: Motivated by the stochastic differential equation[see pdf for notation] in [see pdf for notation] we prove a measurable dependence on parameters theorem for ODEs ... -
Scattering and Inverse Scattering on the Line for a First-Order System with Energy-Dependent Potentials
(University of Texas at Arlington, 2018-05)A first-order system of two linear ordinary differential equations is analyzed. The linear system contains a spectral parameter, and it has two coefficients that are functions of the spatial variable 𝑥. Those two functions ... -
[see pdf for notation]-Reularity for the Solution of Strongly Nonlinear Eigenvalue Problems on Orlicz-Sobolev Spaces
(University of Texas at ArlingtonDepartment of Mathematics, 1984-08)**Please note that the full text is embargoed** ABSTRACT: We present a new method to prove the [see pdf for notation]-regularity of the eigenfunctions for Dirichlet problems with strictly convex Young functionnonlinearities ... -
Self-Circumference of Rotors
(University of Texas at ArlingtonDepartment of Mathematics, 1996)**Please note that the full text is embargoed** ABSTRACT: The law of cosines from trigonometry is used to obtain elliptic integrals of the second kind to calculate the "self-circumference" of a Reuleaux triangle and the ... -
Semiclassical Modeling of the H2 Covalent Bond
(University of Texas at ArlingtonDepartment of Mathematics, 1985)**Please note that the full text is embargoed** ABSTRACT: A semiclassical model is developed for the covalent bond of the H2 molecule. The model utilizes a classical analogue of electron pairing and requires an electron ... -
Semiclassical Modeling of the States and Spectra of Para Hellium Singlets
(University of Texas at ArlingtonDepartment of Mathematics, 1985-12)**Please note that the full text is embargoed** ABSTRACT: It is commonly believed that the excited states of helium are solutions of the Schroedinger equation for helium. We show first that this is, in general, false by ... -
A Semiclassical, Dynamical Model of Methane
(University of Texas at ArlingtonDepartment of Mathematics, 1993)**Please note that the full text is embargoed** ABSTRACT: In this paper we present a semiclassical, dynamical model of the ground state methane molecule. The resulting 13-body problem is solved numerically using energy ... -
A Semiclassical, Dynamical Model of the Water Molecule
(University of Texas at ArlingtonDepartment of Mathematics, 1995)**Please note that the full text is embargoed** ABSTRACT: A model of the ground state water molecule is formulated dynamically and studied by computer simulations. Excellent approximations of NMR determined bond angles and ... -
SENDing MORE MONEY in any base
(Mathematical Association of AmericaDepartment of Mathematics, University of Texas at Arlington, 2006)One of the most significant conceptual jumps involved in algebra is the use of letters (and other symbols) to represent numbers. One way to get students used to this notion is via puzzles. This paper describes a ... -
Separation and Monotonicity Results for the Roots of the Moment Problem
(University of Texas at ArlingtonDepartment of Mathematics, 1978-05)**Please note that the full text is embargoed** ABSTRACT: Consider the system identification problem [see pdf for notation] [see pdf for notation] where u(t) and y(t) are given discretely on the interval [see pdf for ... -
Shape Parameters for the Parametric Cubic Curve
(University of Texas at ArlingtonDepartment of Mathematics, 1982-01)**Please note that the full text is embargoed** -
Sharpness of saturation in harvesting and predation
(American Institute of Mathematical SciencesMathematics Department, University of Texas at Arlington, 2009-10)Harvesting and predation occur through contact processes in which the rate at which the managed (prey) population can be found depends on the population size, usually saturating at high densities. Many models incorporate ... -
A simple vaccination model with multiple endemic states
(ElsevierDepartment of Mathematics, University of Texas at Arlington, 2000)A simple two-dimensional SIS model with vaccination exhibits a backward bifurcation for some parameter values. A two-population version of the model leads to the consideration of vaccination policies in paired border towns. ... -
Simple Weight Modules of the Lie Algebra of Vector Fields of C2
(2017-08-14)Classification of the weight modules of the Lie algebra Wn of vector fields on C n has been a long-standing problem in the area of representation theory. In this thesis, a classification of all simple weight modules of W2 ... -
Smooth Quantile Processes For Right Censored Data
(Mathematics, 2013-07-22)The development of an estimator of a quantile function Q(p) is discussed. The smooth nonparametric estimator Qn(p) of a quantile function Q(p) is defined as the solution to Fn(Qn(p)) = p, where Fn is a smooth Kaplan-Meier ... -
A Snapshot Of Advanced High School Students' Understanding Of Continuity
(Mathematics, 2011-07-14)We report on a study of sixteen high school calculus and seven precalculus students' concept image and concept definition of continuity after one-trimester of instruction at a large suburban high school in the southwestern ... -
Snell's Law in Normed Linear Planes
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: The method of Lagrange multipliers is used to find a reflection principle in a real normed linear plane with smooth unit circle. A generalization of Snell's law of ... -
Sobolev Type Differential Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1977-06)**Please note that the full text is embargoed** ABSTRACT:An imbedding method for solving linear Fredholm integral equations was introduced by Sobolev [3] which involves the solution of the following differential equation ... -
Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions
(American Institute of Mathematical SciencesDepartment of Mathematics, University of Texas at Arlington, 2013)Mathematical models are well-established as metaphors for biological and epidemiological systems. The framework of epidemic modeling has also been applied to sociological phenomena driven by peer pressure, notably in two ...