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Conservative Motion of Discrete, Hexahedral Gyroscope
(University of Texas at Arlington, 1996)
**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 Central Limit Theorem for Certain Nonlinear Statistics in Repeated Sampling of a Finite Population
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: We prove a central limit theorem for the asymptotic joint distribution of non-linear
statistics of the form [see pdf for notation] and linear statistics of the ...
Continuous Deformation of a Developable Surface
(University of Texas at Arlington, 1996-02)
**Please note that the full text is embargoed** ABSTRACT: A developable surface can be developed from a piece of planar region, or vice versa. Several methods are known to construct an isometric mapping between the developable ...
Dynamical Simulation of the Simplest Hydrides
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: In agreement with recent results of Gell-Mann and Hartle, we approximate electron motions in ground state Li7H1 and Li7H2 using an energy conserving numerical method ...
Dynamical Generation of Electron Motions in Ground State H2+, in Ground State H2, and in the First Excited State of H2
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: Using the recent formulation of Gell-Mann and Hartle for approximating quantum dynamical phenomena by means of classical equations, we simulate electron motions in ...
Conservative Motion of Discrete, Tetrahedral Top on a Smooth Horizontal Plane
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: Tetrahedral tops are simulated as discrete, rigid bodies in rotation by introducing a molecular mechanics formulation. The contact point of the top with the XY plane ...
Conservative Motion of Discrete, Tetrahedral Tops and Gyroscopes
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: Tetrahedral tops and gyroscopes are simulated as discrete, rigid bodies in rotation by introducing a molecular mechanics formulation. The conservative, dynamical ...
New Mathematical Properties of the Least Square Value
(University of Texas at Arlington, 1996-03)
**Please note that the full text is embargoed** ABSTRACT: The Least Square Values for cooperative TU games (briefly, LS-values) represent a family of solutions of the following family of optimization
problems associated ...
Self-Circumference of Rotors
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: The law of cosines from trigonometry is used to obtain elliptic integrals of the second kind to calculate the "self-circumference" of a Reuleaux triangle and the ...
Minimum Path Problems in Normed Spaces, Reflection and Refraction
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: The main minimum (or extremum) path problem in this paper deals with the "law of refraction" at a curve separating the plane into two parts with different norms. ...