Browsing Department of Mathematics (MU) by Thesis Semester "2009 Fall"
Now showing items 16 of 6

Elliptic curves and their applications in cryptography
(University of MissouriColumbia, 2009)In 1985, Koblitz and Miller proposed elliptic curves to be used for public key cryptosystems. This present thesis examines the role of elliptic curves on cryptography and basic problems involving implementation and security ... 
Erdős distance problem in the hyperbolic halfplane
(University of MissouriColumbia, 2009)The Erd̋os distance problem asks for the minimum number of distinct distances determined by large finite point sets in the plane. The aim of this work is to investigate how the classical techniques employed in the study ... 
Existence and construction of realvalued equiangular tight frames
(University of MissouriColumbia, 2009)This paper presents results on realvalued equiangular tight frames (ETFs) and related topics. Some geometric theorems are developed, and aspects of frame theory are used to gain insight into ETFs. We develop a projection ... 
A free boundary gas dynamic model as a twobody field theory problem
(University of MissouriColumbia, 2009)Motivated by the twobody problem in the classical field theories of electrodynamics and gravitation, in which finite propagation speeds lead to radiation reaction and runaway solutions, we develop a free boundary problem ... 
Mathematical problems from cryobiology
(University of MissouriColumbia, 2009)Cryobiology is the study of life and death at low temperatures and provides a fascinating setting for applied mathematics. The interdisciplinary nature of cryobiology mirrors the diversity of ... 
A priori estimates for solutions of elliptic partial differential equations on surfaces
(University of MissouriColumbia, 2009)Let S be an (n1)dimensional bounded surface of class C² in R[real number] [superscript n] and let [set theory][subscript s] be the LaplaceBeltrami operator on S. In this thesis, under suitable geometric assumptions, we ...