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Browsing Theses and Dissertations - Department of Mathematics by Issue Date

Browsing Theses and Dissertations - Department of Mathematics by Issue Date

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  • Curved surfaces of right cones 
    Milner, Robert Toombs (University of Alabama Libraries, 1919)
    It is the purpose of this article to derive a formula for finding the curved surface of a right cone with any plain curve as a base.
  • On the Theory of Structures in Sets 
    Hall, Japheth Jr. (University of Alabama Libraries, 1970)
    In many branches of mathematics the property of being a subspace receives considerable attention. The subspaces of a given space might be regarded as values of a structure in a set, that is, a function P on the subsets of ...
  • A corona theorem for certain subalgebras of H∞(D) 
    Ryle, Julie (University of Alabama Libraries, 2009)
    [NOTE: Text or symbols not renderable in plain text are indicated by [...]. See PDF document for full abstract.] The corona theorem for the space of bounded analytic functions on the unit disk, [...], which was proven by ...
  • Managing risk with short term futures contracts 
    Yu, Chunhui (University of Alabama Libraries, 2009)
    [NOTE: Text or symbols not renderable in plain text are indicated by [...]. See PDF document for full abstract.] In this dissertation, we search for an optimal strategy to reduce the running risk in hedging a long-term ...
  • A graph theoretical model for the analysis of the game of football and a discussion of applications thereof 
    Taylor, Patrick (University of Alabama Libraries, 2009)
    In this dissertation an epidemiological approach is used to develop a graph theoretical model for the game of football. This model is a preliminary model due to the limitation of available resources. Even in its preliminary ...
  • The hidden subgroup problem for generalized quaternions 
    Upton, Julia Tumasova (University of Alabama Libraries, 2009)
    The hidden subgroup problem is a pivotal problem in quantum computation since it reflects the structure of tasks for which quantum algorithms significantly outperform classical algorithms. In this dissertation, a quantum ...
  • The Corona Theorem for the multiplier algebras on weighted Dirichlet spaces 
    Kidane, Berhanu Tekle (University of Alabama Libraries, 2009)
    In this dissertation we give a proof of "The Corona Theorem for Infinitely Many Functions for the Multiplier Algebras on Weighted Dirichlet Spaces", and we obtain explicit estimates on the size of the solution. We denote ...
  • Volatility analysis for high frequency financial data 
    Zheng, Xiaohua (University of Alabama Libraries, 2009)
    Measuring and modeling financial volatility are key steps for derivative pricing and risk management. In financial markets, there are two kinds of data: low-frequency financial data and high-frequency financial data. Most ...
  • Three assets model for portfolio selection under a constrained consumption rate process 
    Thagunna, Karan Singh (University of Alabama Libraries, 2009)
    [NOTE: Text or symbols not renderable in plain text are indicated by [...]. See PDF document for full abstract.] In this dissertation, we consider a particular case of an optimal consumption and portfolio selection problem ...
  • P-algebras and Q-algebras 
    Mahawanniarachchi, Padmal Sathyajith (University of Alabama Libraries, 2010)
    We define two classes of algebras P- and Q-, which are derived from the definitions of BCK- and BCI- algebras. The birth of P-algebras is based on the symmetric difference in set theory. We prove that the class of P-algebras ...
  • A non-geometric Brownian motion model estimated by Markov chain approximation 
    Chang, Hung Yu (University of Alabama Libraries, 2011)
    The pricing of most contingent claims is continuously monitored the movement of the underlying assets that follow geometric Brownian motion. However, for exotic options, the pricing of the underlying assets is difficult ...
  • Capping the variance of cash flow of hedging strategy 
    Ginting, Maydison (University of Alabama Libraries, 2011)
    This dissertation consolidates previous research on an optimal strategy to reduce the running risk in hedging a long-term supply commitment with short-dated futures contracts. By introducing a cap function, this dissertation ...
  • Matched interface and boundary enhanced multiresolution time-domain algorithm for electromagnetic simulations 
    Yao, Pengfei (University of Alabama Libraries, 2011)
    The present work introduces a new boundary closure treatment for the wavelet based multiresolution time-domain (MRTD) solution of Maxwell's equations [1]. Accommodating nontrivial boundary conditions, such as the Robin ...
  • Performance evaluation of inexact GMRES 
    Winkles, Nathan (University of Alabama Libraries, 2011)
    Iterative methods are aimed at sparse linear systems that arise in many applications (e.g., PDEs, biology, computer science, technology, engineering, etc). These applications give rise to matrices that differ in terms of ...
  • Estimation of the Weibull distribution with applications to tornado climatology 
    McClellan, Michael B. (University of Alabama Libraries, 2012)
    Some general properties of the Weibull distribution are discussed. The mathematical development of the distribution is linked to the family of extreme value distributions, and the origins in science are found to be related ...
  • Groups whose non-permutable subgroups satisfy certain conditions 
    Karatas, Zekeriya Yalcin (University of Alabama Libraries, 2012)
    In this dissertation, we determine the structure of groups whose non-permutable subgroups satisfy certain conditions. In Chapter 1, we give the definitions and well-known results that we will use during the dissertation. ...
  • Wolff's Theorem on ideals for matrices 
    Holloway, Caleb Daniel (University of Alabama Libraries, 2012)
    We extend Wolff's theorem on ideals in the space H^∞ to the case involving matrices. Our work is based off the results of Andersson (1989) and Trent and Zhang (2007). At the end we show how the estimates in our theorem can ...
  • The road trip property: an aid in classifying groups with quadratic isoperimetric inequalities 
    Bishop-Ross, Rachel (University of Alabama Libraries, 2012)
    A property of geodesic metric spaces, called the road trip property, that generalizes hyperbolic and convex metric spaces is introduced. This property is shown to be invariant under quasi-isometry. Thus, it leads to a ...
  • Graphs of groups 
    Green, Michael Timothy (University of Alabama Libraries, 2012)
    Graphs of groups were first introduced by Jean-Pierre Serre in his book entitled Arbres, Amalgames, SL2 (1977), whose first English translation was Trees in 1980. In 1993, Hyman Bass wrote a paper called Covering theory ...
  • Most likely path to the shortfall risk under the optimal hedging strategy 
    Chen, Jing (University of Alabama Libraries, 2012)
    In this dissertation, we search for the most likely path to the shortfall risk in hedging a long-term supply commitment with short-term futures contracts, which leads to a class of optimization problems. Motivated by a ...

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