Search
Now showing items 1-5 of 5
A Quadratic Volterra Integral Equation and Its Solution for Various Kernels
(University of Texas at Arlington, 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
(University of Texas at Arlington, 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 ...
Controlling Curvature in the Minkowski Plane
(University of Texas at Arlington, 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 ...
Snell's Law in Normed Linear Planes
(University of Texas at Arlington, 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 ...
Geometry of Post's Correspondence Problem
(University of Texas at Arlington, 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 ...