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On a New Mathematical Model of the Molecular Bond
(University of Texas at Arlington, 2001-05)
**Please note that the full text is embargoed** ABSTRACT: Using a new model of the molecular bond, we produce a set of initial conditions for the ground state H2 molecule which yield, over one complete period, bond length ...
Discrete Spring Solitons
(University of Texas at Arlington, 2001-05)
**Please note that the full text is embargoed** ABSTRACT: A soliton is a local, traveling wave pulse. It is significant in a variety of unrelated areas, like studies of water waves, acoustic waves, electron transfer, gravity ...
A Geometric Inequality for Convex Polygons
(University of Texas at Arlington, 2001-05)
**Please note that the full text is embargoed** ABSTRACT: Consider a regular polygon with vertices P1, P2, , Pn. Assume P
is an interior point. Let [see pdf for notation] denote the Euclidean distance from P to Pi, i = ...
Minkowski's Inequality for Convex Curves
(University of Texas at Arlington, 2001-05)
**Please note that the full text is embargoed** ABSTRACT: Minkowski's inequality is a relation between mixed areas of two curves and their respective areas. The concept of mixed area is defined. A variational technique is ...
Geometrical Problems in Engineering Mechanics
(University of Texas at Arlington, 2005-11)
**Please note that the full text is embargoed** ABSTRACT: Four problems in two dimensional geometry are presented, which are applicable to education of the basic courses, statics. These problems represent geometrical ...
Molecular Study of Turbulence in Three Dimensional Cavity Flow
(University of Texas at Arlington, 2000-04)
**Please note that the full text is embargoed** ABSTRACT: Three dimensional molecular cavity problems are formulated and solved numerically. The fluid considered is water at 15°C. The turbulent flows generated are characterized ...
Fortran Program HH1
(University of Texas at Arlington, 2002-03)
**Please note that the full text is embargoed**
Restricted Curvature in the Minkowski Plane
(University of Texas at Arlington, 2008)
**Please note that the full text is embargoed** ABSTRACT: A geometric proof for the following problem is given: Let E be the unit circle in a Minkowski plane. Let C be any continuously differentiable closed curve with ...
The Least Square Values and the Shapley Value for Cooperative TU Games
(University of Texas at Arlington, 2003-05)
**Please note that the full text is embargoed** ABSTRACT: The Least Square Values (briefly LS-values), represent a family of values for cooperative transferable utility games, introduced by L. Ruiz. F. Valenciano and ...
On the Computation of Weighted Shapley Values for Cooperative TU Games
(University of Texas at Arlington, 2008)
**Please note that the full text is embargoed** ABSTRACT: This paper is considering the problem of dividing fairly the worth of the grand coalition in a transferable utilities game, in case that the coalition is formed. ...