Browsing Technical Papers - DO NOT EDIT by Title
Now showing items 282-301 of 349
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Rapid Approximation of the Energy States of Three-Electron Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1985-03)**Please note that the full text is embargoed** ABSTRACT: In this paper, we show how to approximate rapidly the energy states of systems with one electron in the second ring. Using known energy states and average radii of ... -
Rapid Computation of the Energy States of Two-Electron Atoms and Ions with an Explicit Formula for the Excited States of Helium
(University of Texas at ArlingtonDepartment of Mathematics, 1985-05)**Please note that the full text is embargoed** ABSTRACT: A new computational approach is developed for the energy states of two electron atoms and ions. The theory incorporates a classical interpretation of electron ... -
Rapid Computation of the Energy States of Two-Electron Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1985)**Please note that the full text is embargoed** ABSTRACT: A new deterministic approach to modelling atoms and molecules is developed which uses static and dynamic numerical methods. The estimate for the ground state energy ... -
Ray Optics on Surfaces
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Variational techniques are used to find path of light rays on surfaces. Using Fermat's principle of least time the problem is treated as a constraint optimization ... -
Reaction-Diffusion Inequalities in Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1978-02)**Please note that the full text is embargoed** ABSTRACT: Recently there has been a growing interest in the study of nonlinear reaction-diffusion equations [2,3,4,7] because of the fact examples of such equations occur ... -
The Reflection Property in Normed Linear Planes with Applications to Generalized Conics
(University of Texas at ArlingtonDepartment of Mathematics, 2005-07)**Please note that the full text is embargoed** ABSTRACT: The ancient Greek mathematician Heron was the first to solve the problem of finding the shortest path from point A to point B on one side of the line L, subject to ... -
Relationship Between Stochastic and Differential Models of Compartmental Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1978)**Please note that the full text is embargoed** ABSTRACT: This paper shows that the differential equations model for compartmental systems is consistent with a stochastic description. Consequently, we may employ either a ... -
Remarks on Bellman's Structural Identifiability
(University of Texas at ArlingtonDepartment of Mathematics, 1985-03)**Please note that the full text is embargoed** ABSTRACT: This paper remarks on unidentifiable compartmental systems. Emphasis is placed on detecting properties of the system directly from the compartmental diagram without ... -
Remarks on First and Second Order Periodic Boundary Value Problems
(University of Texas at ArlingtonDepartment of Mathematics, 1982-05)**Please note that the full text is embargoed** ABSTRACT: We consider the first and second order periodic boundary value problems (PBVP for brevity)[see pdf for notation] and [see pdf for notation]and obtain the existence ... -
Remarks on Nonlinear Contraction and Comparison Principle in Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1975-06)**Please note that the full text is embargoed** ABSTRACT: The contraction mapping principle and the Schauder principle can both be viewed as a comparison of maps. For the former one has a condition of the type [see pdf for ... -
Remarks on Numerical Computations Using the Alternative Method
(University of Texas at ArlingtonDepartment of Mathematics, 1977-12)**Please note that the full text is embargoed** ABSTRACT: Recently Cesari and Bowman [1] have demonstrated the applicability of the alternative method to obtain approximate solutions of nonlinear equations. They provided ... -
Restricted Curvature in the Minkowski Plane
(University of Texas at ArlingtonDepartment of Mathematics, 2008)**Please note that the full text is embargoed** ABSTRACT: A geometric proof for the following problem is given: Let E be the unit circle in a Minkowski plane. Let C be any continuously differentiable closed curve with ... -
The Riccati Equation Arising in the Control Theory
(University of Texas at ArlingtonDepartment of Mathematics, 1980-06)**Please note that the full text is embargoed** -
The Role of Nonreal Eigenvalues in the Identification of Cycles in a Compartmental System
(University of Texas at ArlingtonDepartment of Mathematics, 1983-11)**Please note that the full text is embargoed** ABSTRACT: The paper concerns the relationship between the cycles in the graph of a compartmental system and the modes of the impulse response function associated with an ... -
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 ... -
[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 ...