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On the Semivalues and the Power Core of Cooperative TU Games
(University of Texas at Arlington, 1999-09)
**Please note that the full text is embargoed** ABSTRACT: The Semivalues were introduced axiomatically by P.Dubey, A.Neyman and R.J.Weber (1981) as an important class of values for cooperative TU games. This class contains ...
Heating Water Vapor in a Square Cavity Using Molecular and Particle Mechanics
(University of Texas at Arlington, 1999-02)
**Please note that the full text is embargoed** ABSTRACT: This paper explores the computer simulation of heating water vapor in a square cavity. Both molecular and particle mechanics are applied. A particular parameter ...
A Quadratic Fredholm Integral Equation and its Solution for Various Kernels
(University of Texas at Arlington, 1999-02)
**Please note that the full text is embargoed** ABSTRACT:Consider the Fredholm integral equation [see pdf for notation], a parameter.
The solution of this equation is discussed for separable, difference and distribution ...
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 ...
Molecular Mechanics Simulations of the Three Dimensional Cavity Problem
(University of Texas at Arlington, 1999-03)
The rapid development of computer technology has resulted in broad interest in three dimensional fluid simulation, which is known to have more complex force interactions than occur in two dimensions (see, e.g., refs. [1-6], ...
Tennis, Geometric Progression, Probability and Basketball
(University of Texas at Arlington, 1999-03)
The following problem about a tennis match is well—known. See Halmos [1, 2]. Consider 2n tennis players playing a single elimination match. Ask the question: what are the number of games played? The answer can be obtained ...