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Now showing items 1-10 of 71

#### Melting Points of Atomic and Homogeneous, Diatomic Molecular Solids Via the Four-Body Problem

(University of Texas at Arlington, 1992-10)

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, is used to define the melting point of any solid composed ...

#### A Method for Approximating the Solution Set of a System of Convex Inequalities by Polytopes

(University of Texas at Arlington, 1990-12)

In this note a method for computing approximations by polytopes
of the solution set [see pdf for notation] of a system of
convex inequalities is presented. It is shown that such
approximations can be determined by ...

#### New Mathematical Properties of the Banzhaf Value

(University of Texas at Arlington, 1995-01)

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 [6]). Briefly speaking, the Banzhaf value axioms can be ...

#### Heating Water Vapor in a Square Cavity Using Molecular and Particle Mechanics

(University of Texas at Arlington, 1999-02)

This paper explores the computer simulation of heating water vapor in a square cavity. Both molecular and particle mechanics are applied. A particular parameter called vel, found on the micro level, is shown to be applicable ...

#### A Molecular Mechanics Simulation of Cracks and Fractures in a Sheet of Ice

(University of Texas at Arlington, 1998-07)

Rectangular, two dimensional sheets of ice molecules are both stressed and compressed. Computer examples compare dynamical responses when the plate has a slot or does not have a slot. The mechanisms for both crack and ...

#### Particle Simulation in Contact Mechanics of a Bouncing Elastic Ball

(University of Texas at Arlington, 1999-05)

An elastic ball is simulated by considering lumped mass molecular sets called particles. Particles are allowed to interact only locally in a fashion similar to that employed in molecular mechanics. Under local and gravity ...

#### Estimating Transition Probabilities from Aggregate Samples Augmented by Haphazard Recaptures

(University of Texas at Arlington, 1995)

Transition probabilities provide a convenient summary of changes in a categorical trait over time in a population. The difficulties of estimating such probabilities based on only aggregate data from repeated sampling are ...

#### On Attractive Force Between Electrons in the Same Molecular Orbital

(University of Texas at Arlington, 1991)

Is is assumed, on the basis of recent studies in particle theory, that two electrons in the same molecular orbital attract, rather than repel, and the consequences are explored by means of three dimensional, supercomputer, ...

#### A Quadratic Fredholm Integral Equation and its Solution for Various Kernels

(University of Texas at Arlington, 1999-02)

Consider the Fredholm integral equation [see pdf for notation], a parameter.
The solution of this equation is discussed for separable, difference and distribution kernels. Existence, uniqueness and bifurcation questions ...

#### Geometry of Post's Correspondence Problem

(University of Texas at Arlington, 1997)

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 one-symbol alphabet. We also use orthogonality to discover ...