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Now showing items 21-30 of 71
Controlling Curvature in the Minkowski Plane
(University of Texas at Arlington, 1997)
**Please note that the full text is embargoed** ABSTRACT: Pontryagin's maximum principle is used to find the curve of shortest length with bounded Minkowskian curvature passing through two points with given initial and ...
Snell's Law in Normed Linear Planes
(University of Texas at Arlington, 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 ...
The Generation of Turbulence in a Compressed Gas
(University of Texas at Arlington, 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 ...
Estimating Transition Probabilities from Aggregate Samples Augmented by Haphazard Recaptures II. The Case of Covariates.
(University of Texas at Arlington, 1997)
**Please note that the full text is embargoed** ABSTRACT: The paper extends the authors' earlier methods for estimating transition probabilities, by combining aggregate and haphazard recapture data, to the case of categorical ...
Geometry of Post's Correspondence Problem
(University of Texas at Arlington, 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 Semiclassical, Dynamical Model of the Water Molecule
(University of Texas at Arlington, 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 ...
Computer Experiments for Molecular Motions and Chemical Bonding
(University of Texas at Arlington, 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 Method for Approximating Quantum Dynamical Phenomena Over Short (and Sometimes Long) Time Periods
(University of Texas at Arlington, 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 ...
On Electron Attraction & Newtonian Methodology for Approximating Quantum Mechanical Phenomena
(University of Texas at Arlington, 1992-04)
**Please note that the full text is embargoed** ABSTRACT: Classical dynamical computations for ground state [see pdf for notation], and [see pdf for notation] have been shown to yield correct vibrational frequencies and ...
Melting Points of Atomic and Homogeneous, Diatomic Molecular Solids Via the Four-Body Problem
(University of Texas at Arlington, 1992-10)
**Please note that the full text is embargoed** ABSTRACT: For a regular tetrahedral arrangement of four identical atoms, the minimum velocity of one atom, required for that atom to pass through the plane of the other three, ...