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The Energy States of Helium via Bohr-Einstein Determinism
(University of Texas at Arlington, 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 Arlington, 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 ...
A New Mathematical Approach to Biological Cell Rearrangement with Applications to the Inversion of Volvox
(University of Texas at Arlington, 1980-05)
**Please note that the full text is embargoed** ABSTRACT: This paper develops a new method for modeling cell rearrangement in both two and three dimensions. The method uses classical molecular type forces and is computer ...
Stochastic Parameters in Compartmental Systems
(University of Texas at Arlington, 1980-05)
**Please note that the full text is embargoed** ABSTRACT: Let [see pdf for notation] denote the
probability that a particle in compartment j
will reach (or enter) compartment i. We present
several formulas for ...
Quasimolecular Simulation of Pendent Water Drops
(University of Texas at Arlington, 1989)
**Please note that the full text is embargoed** ABSTRACT: Pendent water drops are simulated by molecular aggregates, called quasimolecules. The quasimolecules interact in accordance with classical molecular type formulas. ...
Stability and Asymptotic Equivalence of Perturbations of Nonlinear Systems of Differential Equations
(University of Texas at Arlington, 1980-08)
**Please note that the full text is embargoed** ABSTRACT: A nonlinear variation of constants method was introduced by Alekseev [1] and applications of this formula to questions of stability and asymptotic equivalence of ...
A New Computer Approach to the Modeling of Close Binary Stars
(Department of Mathematics, 1983-01)
**Please note that the full text is embargoed** ABSTRACT: A new, n-body approach is developed for the modeling of close binary systems, the most commonly occurring star systemsknown. Both local and long range forces are ...
Some Theorems on Fixed Points in Lipschitz and Kannan Type Mappings
(University of Texas at Arlington, 1980-01)
**Please note that the full text is embargoed**
Variation of Constants, Vector Lyapunov Functions and Comparison Theorem
(University of Texas at Arlington, 1980-04)
**Please note that the full text is embargoed** ABSTRACT: In this paper we combine the above ideas to obtain a new comparison result and discuss its relation to known results. A simple application to stability theory is ...
On the Discrimination Between the Lognormal and the Weibull Distributions With Applications to Offshore Oil/Gas Lease Bids
(University of Texas at Arlington, 1980-05)
**Please note that the full text is embargoed** ABSTRACT: The competitive sealed bids on an individual offshore oil and gas lease are often assumed to follow a lognormal distribution (Brown, 1969). However, under the ...