Browsing Technical Papers - DO NOT EDIT by Author "Ghandehari, Mostafa"
Now showing items 1-18 of 18
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Controlling Curvature in the Minkowski Plane
Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Pontryagin's maximum principle is used to find the curve of shortest length with bounded Minkowskian curvature passing through two points with given initial and ... -
A Geometric Inequality for Convex Polygons
Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 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 = ... -
A Geometric Inequality in Pharmacokinetics
Holyk, Jennifer; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Geometrical Problems in Engineering Mechanics
Kashefi, Feraydune; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Geometry of Post's Correspondence Problem
Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Orthogonality of vectors with integer coordinates in an n-dimensional Euclidean space is used to show that Post's correspondence problem is solvable for words over ... -
Heron's Problem in the Minkowski Plane
Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
The Laplace Transform of the Linear Car-following Model
Ardekani, Siamak; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Minimum Path Problems in Normed Spaces, Reflection and Refraction
Golomb, Michael; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 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. ... -
Minkowski's Inequality for Convex Curves
Ghandehari, Mostafa (University of Texas at Arlingtonhttp://hdl.handle.net/10106/2458, 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 ... -
A Modified Greenberg Speed-flow Traffic Model
Ardekani, Siamak; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 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 Quadratic Fredholm Integral Equation and its Solution for Various Kernels
Nestell, Merlynd K.; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
A Quadratic Volterra Integral Equation and Its Solution for Various Kernels
Nestell, Merlynd K.; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Consider the Volterra integral equation [see pdf for notation], ^ is a parameter Solutions of this equation are discussed for separable and difference kernels using ... -
Ray Optics on Surfaces
Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Variational techniques are used to find path of light rays on surfaces. Using Fermat's principle of least time the problem is treated as a constraint optimization ... -
The Reflection Property in Normed Linear Planes with Applications to Generalized Conics
O'Neill, Edward J.; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Restricted Curvature in the Minkowski Plane
Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Self-Circumference of Rotors
O'Neill, Edward J.; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Snell's Law in Normed Linear Planes
Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: The method of Lagrange multipliers is used to find a reflection principle in a real normed linear plane with smooth unit circle. A generalization of Snell's law of ... -
Tennis, Geometric Progression, Probability and Basketball
Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 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 ...