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Now showing items 11-18 of 18
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 ...
A Quadratic Fredholm Integral Equation and its Solution for Various Kernels
(University of Texas at Arlington, 1999-02)
**Please note that the full text is embargoed** ABSTRACT:Consider the Fredholm integral equation [see pdf for notation], a parameter.
The solution of this equation is discussed for separable, difference and distribution ...
Heron's Problem in the Minkowski Plane
(University of Texas at Arlington, 1995)
**Please note that the full text is embargoed** ABSTRACT: Heron's problem in the Euclidean plane is that of minimizing the length of a path
that joins two points on one side of a line and intersects the line. A ...
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. ...
Tennis, Geometric Progression, Probability and Basketball
(University of Texas at Arlington, 1999-03)
The following problem about a tennis match is well—known. See Halmos [1, 2]. Consider 2n tennis players playing a single elimination match. Ask the question: what are the number of games played? The answer can be obtained ...
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 ...