Browsing Theses and Dissertations - Department of Mathematics by Title

Browsing Theses and Dissertations - Department of Mathematics by Title

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  • Cai, Chen (University of Alabama Libraries, 2013)
    In financial market, interest rate is crucially important. Its changes and moves have a great impact on consumer's products, inflation rate, bond and stock market, and almost all the aspects in the financial world. An ideal ...
  • Milligan-Williams, Essence (University of Alabama Libraries, 2020)
    Tensors are multi-dimensional arrays that can represent large datasets. Acquiring large data sets has its pros and cons; a pro being the bigger the data set, the more information could potentially be generated. A con would ...
  • Homan, Timothy Adam (University of Alabama Libraries, 2019)
    The aim of this work is to take the combinatorial construction put forward by Petkova and Vértesi for tangle Floer homology and show that many of the arguments that apply to grid diagrams for knots can be applied to grid ...
  • Netyanun, Anupan (University of Alabama Libraries, 2014)
    In this dissertation, we will take an effective approach to prove the Hilbert's Nullstellensatz in a special case where we have univariate polynomials $f_{i}(z)'s$ for $i\in\{1,2,...,m\}$. This approach will explicitly ...
  • 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 ...
  • Acharyya, Soumyadip (University of Alabama Libraries, 2015)
    Let us consider the operator-theoretic difference of two composition operators acting on a weighted Hilbert Bergman space. In 2011, Choe , Hosokawa and Koo [CHK] proved a necessary and sufficient condition under which the ...
  • 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 ...
  • 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 ...
  • Neal, Todd (University of Alabama Libraries, 2016)
    In 2014, Banjade and Trent proved an analog of Wolff's theorem for the multiplier algebra of the Dirichlet space, which gives conditions for the cube of a function to be in a generated ideal. This dissertation investigates ...
  • Hazra, Tania (University of Alabama Libraries, 2018)
    Calculations of electrostatic potential and solvation energy of macromolecules are essential for understanding the mechanism of many biological processes. In the classical implicit solvent Poisson-Boltzmann (PB) model, the ...
  • Chen, Qiang (University of Alabama Libraries, 2014)
    In this dissertation, we create a portfolio of simple vanilla put and call options as an optimal approximation of nonlinear payoffs by using static replication (1995, 1998) [1, 2] under certain measure which is called ...
  • Dar Assi, Mahmoud H. (University of Alabama Libraries, 2014)
    The threshold conditions for the onset of convection in colloidal suspensions is investigated using the particulate medium formulation. We consider a dilute liquid suspension of solid spherical particles that is confined ...
  • Chen, Mengpu (University of Alabama Libraries, 2016)
    Euler's elastica is widely applied in digital image processing. It is very challenging to minimize the Euler's elastica energy functional due to the high-order derivative of the curvature term. The computational cost is ...
  • Morris, Peyton (University of Alabama Libraries, 2019)
    The aim of this work is to present the Forster-Swan bound on the number of generators of a module. It is not our intention to present a novel finding or research discovery. Instead, we will develop the commutative algebra ...
  • 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 ...
  • Das, Bikash Chandra (University of Alabama Libraries, 2013)
    We generalize the work of B. Hartley, to the category of topological graphs. The completion of a topological group in Hartley's work can be thought of as a particular example of the completion of a general uniform space. ...
  • Wang, Xuan (University of Alabama Libraries, 2020)
    Complex analytic functions have astonishing and amazing properties. Their real parts and imaginary parts are deeply connected by the Cauchy-Riemann equations. It is natural to ask if we obtain some information about the ...
  • Acharyya, Amrita (University of Alabama Libraries, 2013)
    We define a covering of a profinite graph to be a projective limit of a system of covering maps of finite graphs. With this notion of covering, we develop a covering theory for profinite graphs which is in many ways analogous ...
  • 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.
  • Liu, Sijie (University of Alabama Libraries, 2018)
    Multi-objective optimization problems are pervasive across many diverse disciplines in engineering, economics, management and design where optimal decisions need to be made in the presence of tradeoffs between two or more ...

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