Technical Papers - DO NOT EDIT: Recent submissions
Now showing items 21-40 of 349
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New Mathematical Properties of the Banzhaf Value
(University of Texas at ArlingtonDepartment of Mathematics, 1995-01)**Please note that the full text is embargoed** ABSTRACT: In a paper by P. Dubey and L.S. Shapley an axiomatic definition of the Banzhaf value has been extracted from an axiomatic definition of the Banzhaf power index (see ... -
Computer Modelling of a Dynamical Water Molecule
(University of Texas at ArlingtonDepartment of Mathematics, 1995)**Please note that the full text is embargoed** ABSTRACT: A model of a ground state water molecule is formulated dynamically and studied by computer simulations. The enigmatic 104.5° bond angle is approximated by introducing ... -
Fixed Point Theorems on Closed Sets Through Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1976-03)**Please note that the full text is embargoed** ABSTRACT: Let D be a closed subset of a complete metric space (X,p). We seek (i) conditions upon which a map T : D -> X has a fixed point in D and (ii) the construction of ... -
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 ... -
A New Method for Approximating Quantum Dynamical Phenomena Over Short (and Sometimes Long) Time Periods
(University of Texas at ArlingtonDepartment of Mathematics, 1995)**Please note that the full text is embargoed** ABSTRACT: Approximate electron and proton motions are simulated for short time periods for using a special case of the quantum mechanical Ehrenfest equations. Attention is ... -
Computer Experiments for Molecular Motions and Chemical Bonding
(University of Texas at ArlingtonDepartment of Mathematics, 1995-12)**Please note that the full text is embargoed** ABSTRACT: It is shown how to simulate first the ground state molecule H. The correct bond length, period, and electron cloud result. The method is then extended to ground ... -
A New Computer Approach to Atomic and Molecular Dynamics with Application to the Water Molecule
(University of Texas at ArlingtonDepartment of Mathematics, 1981-07)**Please note that the full text is embargoed** ABSTRACT: A new computer oriented theory for atomic and molecular dynamics is developed. In it are incorporated modifications of classical ideas which are motivated by modern ... -
The Energy States of Helium via Bohr-Einstein Determinism
(University of Texas at ArlingtonDepartment of Mathematics, 1984-12)**Please note that the full text is embargoed** ABSTRACT: Correct ground, ionization, singly excited and doubly (excited energy states are deduced deterministically by a direct extension of Bohr's method for hydrogen. ... -
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 ... -
Existence and Monotone Method for Periodic Solutions of First Order Differential Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1981-09)**Please note that the full text is embargoed** ABSTRACT: An attempt was made recently in [3] to combine fruitfully the two basic techniques, namely the method of upper and lower solutions and the Lyapunov-Schmitt method ... -
Bounded Solutions for some Gradient Type Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1981-04)**Please note that the full text is embargoed** ABSTRACT: C. Corduneanu in [3,TH.1] investigated the existence of a unique bounded solution of the system [see pdf for notation] (1.1) with [see pdf for notation] continuous ... -
On the Theory of Terminal Value Problems for Ordinary Differential Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1981-02)**Please note that the full text is embargoed** ABSTRACT: It is well known [2] that the comparison principle for initial value problems of ordinary differential equations is a very useful tool in the study of qualitative ... -
Non-Splitting Unitary Perfect Polynomials Over GF(q)t
(University of Texas at ArlingtonDepartment of Mathematics, 1978-10)**Please note that the full text is embargoed** ABSTRACT: It has been conjectured that there are infinitely many distinct pd-equivalence classes of non-splitting unitary perfect polynomials over GF(pd) for each prime ... -
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 ... -
Existence of Solutions in a Closed Set for Delay Differential Equations in Banach Spaces
(University of Texas at ArlingtonDepartment of Mathematics, 1977-01)**Please note that the full text is embargoed** ABSTRACT: The study of the Cauchy problem for ordinary differential equations in a Banach space has been extensive [1,3-7,9-12]. The two main directions that are followed ... -
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 ... -
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 ... -
The Compensatory Bargaining Set of a Cooperative N-Person Game with Side Payments
(University of Texas at ArlingtonDepartment of Mathematics, 1988-12)**Please note that the full text is embargoed** ABSTRACT: The bargaining sets have been introduced as solution concepts for cooperative n-person games with side payments by R. J. Aumann and M. Maschler (1964). A further ... -
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 ... -
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 ...