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Now showing items 1-10 of 18

#### On a New Mathematical Model of the Molecular Bond

(University of Texas at Arlington, 2001-05)

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 and vibrational frequency which are identical to the ...

#### On the Computation of Semivalues for TU Games

(University of Texas at Arlington, 2008-12)

In an earlier paper, [Dragan,2006a] , we proved that every Least Square Value is the Shapley Value of a game obtained by rescaling from the given game. In the paper where the Least Square Values were introduced by Ruiz, ...

#### On the Computation of Weighted Shapley Values for Cooperative TU Games

(University of Texas at Arlington, 2008)

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. The computational experience for the Shapley Value, the most ...

#### A Geometric Inequality in Pharmacokinetics

(University of Texas at Arlington, 2006-02)

The arithmetic-geometric mean inequality is used to give a lower bound for the average concentration in a two-compartmental model in pharmacokinetics. A geometric interpretation is given to relate concentration to the area ...

#### Geometrical Problems in Engineering Mechanics

(University of Texas at Arlington, 2005-11)

Four problems in two dimensional geometry are presented, which are applicable to education of the basic courses, statics. These problems represent geometrical concepts that are understandable by engineering students. For ...

#### The Laplace Transform of the Linear Car-following Model

(University of Texas at Arlington, 2008)

Laplace transform is used to analyze the differential-difference equation for the linear car-following model. The car-following model has been developed to describe the dynamics of a platoon of vehicles initially traveling ...

#### Restricted Curvature in the Minkowski Plane

(University of Texas at Arlington, 2008)

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 length l(C)(measured in Minkowski metric). Assume [see pdf for ...

#### The Reflection Property in Normed Linear Planes with Applications to Generalized Conics

(University of Texas at Arlington, 2005-07)

The ancient Greek mathematician Heron was the first to solve the problem of finding the shortest path from point A to point B on one side of the line L, subject to the condition that the path goes from A to L and then to ...

#### Minkowski's Inequality for Convex Curves

(University of Texas at Arlington, 2001-05)

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 used to give a proof of Minkowski's inequality. As a special ...

#### Banzhaf Permission Values for Games with Permission Structure

(University of Texas at Arlington, 2000-05)

A game with a permission structure describes a situation in which cooperation possibilities in a cooperative game with transferable utility are limited because there are players that need permission from other players ...