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Some Recursive Definitions of the Shapley Value and Other Linear Values of Cooperative TU Games
(University of Texas at Arlington, 1997)
**Please note that the full text is embargoed** ABSTRACT: Let N be a finite set of players, |N| = n; a cooperative TU game in coalitional form is a function v : P(N) -> R, with v(ø) = 0. It is well known that the set of ...
On a Proximal Point Method for Optimization in Banach Spaces
(University of Texas at Arlington, 1997-02)
**Please note that the full text is embargoed** ABSTRACT: We analyze the behavior of a parallel proximal point method for solving convex optimization problems in reflexive Banach spaces. Similar algorithms were known to ...
Conservative Motion of a Discrete, Nonsymmetric, Hexahedral Gyroscope
(University of Texas at Arlington, 1997)
**Please note that the full text is embargoed** ABSTRACT: Gyroscopic motion is simulated by applying a molecular dynamics formulation to a rigid hexahedron. The conservative dynamical differential equations are solved ...
A Quadratic Volterra Integral Equation and Its Solution for Various Kernels
(University of Texas at Arlington, 1997)
**Please note that the full text is embargoed** ABSTRACT: Consider the Volterra integral equation [see pdf for notation], ^ is a parameter Solutions of this equation are discussed for separable and difference kernels using ...
A Molecular Mechanics Type Approach to Turbulence
(University of Texas at Arlington, 1997)
**Please note that the full text is embargoed** ABSTRACT: A molecular mechanics type formulation is applied to the cavity problem to generate primary vortices, secondary vortices, and turbulent flow. The fluid considered ...
Ray Optics on Surfaces
(University of Texas at Arlington, 1997)
**Please note that the full text is embargoed** ABSTRACT: Variational techniques are used to find path of light rays on surfaces. Using Fermat's principle of least time the problem is treated as a constraint optimization ...
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 ...