Browsing Mathematics electronic theses and dissertations (MU) by Thesis Semester "2009 Fall"
Now showing items 1-6 of 6
-
Elliptic curves and their applications in cryptography
(University of Missouri--Columbia, 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 half-plane
(University of Missouri--Columbia, 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 real-valued equiangular tight frames
(University of Missouri--Columbia, 2009)This paper presents results on real-valued 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 two-body field theory problem
(University of Missouri--Columbia, 2009)Motivated by the two-body 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 Missouri--Columbia, 2009)Cryobiology is the study of life anddeath at low temperatures and provides a fascinating setting for applied mathematics. The interdisciplinary nature of cryobiology mirrors the diversity of applications ranging from animal ... -
A priori estimates for solutions of elliptic partial differential equations on surfaces
(University of Missouri--Columbia, 2009)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] Let S be an ([lowercase nu ? 1)-dimensional bounded surface of class C[superscript 2] in [double-struck R][superscript n] and let [uppercase delta]S ...