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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 ...
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 ...
A Modified Greenberg Speed-flow Traffic Model
(University of Texas at Arlington, 2008)
**Please note that the full text is embargoed** ABSTRACT: A modified Greenberg speed-flow model is proposed. We assume speed is a logarithmic function of free-flow speed, concentration and a minimum constant density. ...
A Geometric Inequality in Pharmacokinetics
(University of Texas at Arlington, 2006-02)
**Please note that the full text is embargoed** ABSTRACT: 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 ...
The Laplace Transform of the Linear Car-following Model
(University of Texas at Arlington, 2008)
**Please note that the full text is embargoed** ABSTRACT: 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 Reflection Property in Normed Linear Planes with Applications to Generalized Conics
(University of Texas at Arlington, 2005-07)
**Please note that the full text is embargoed** ABSTRACT: 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 ...