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Browsing Department of Mathematics (Pure and Applied Mathematics) (ETDs) by Issue Date

Browsing Department of Mathematics (Pure and Applied Mathematics) (ETDs) by Issue Date

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  • Kartal, Ozgül (2004)
    In this dissertation, a symmetry analysis of a third order non-linear partial differential equation which describes the filtration of a non-Newtonian liquid in porous media is performed. A review of the derivation of ...
  • Kellerman, Ruaan (2005)
    The geometric relation of orthogonality - when the angle determined by two lines is a right angle - has a rich and interesting theory. We investigate geometric orthogonality structures from a formal logical and model ...
  • Hattingh, Carel Pieter (2010)
  • Le Roux, Jaco (2011-10-04)
    In this thesis we study the techniques used to calculate the Hamilton operators related to linear optical quantum computing. We also discuss the basic building blocks of linear optical quantum computing (LOQC) by looking ...
  • Cawdery, John Alexander (2011-10-04)
    The aim of this dissertation will be an investigation into a classical result which asserts the uniqueness of the norm topology on a semi-simple Banach algebra. For a commutative semi-simple Banach algebra, say A, it is ...
  • Burnard, Chantel (2011-10-04)
  • McDonald, Ruth Leigh (2011-10-14)
    The innovative work of Black and Scholes [1, 2] extended the mathematical understanding of the options pricing model, beginning the deliberate study of the theory of option pricing. Its impact on the nancial markets was ...
  • Musekiwa, Alfred. (2005-11)
    In this study we consider the problem ofestiniating the slope in the simple linear errors-in-variables model. There are two different types of relationship that can he specified in the errors-in-variables model: one that ...
  • Van der Straaten, Sjané Monique (2003)
    The basis for this study rests upon the question whether typical human reasoning is reliant upon the application of formal inference rules or not. Two major approaches on this topic, formal logic and mental model theory, ...
  • Southey, Justin Gilfillan (2012-05-23)
    Domination in graphs is now well studied in graph theory and the literature on this subject has been surveyed and detailed in the two books by Haynes, Hedetniemi, and Slater [45, 46]. In this thesis, we continue the study ...
  • Wright, Warren Peter (2004)
    General Relativity, as defined by Einstein's equations, defines the geometry of the universe. In Numerical Relativity, Einstein's equations are solved with the aid of numerical methods and computers. This dissertation ...
  • Van Wyk, Michael Antonie (1996-06)
    The work presented in this dissertation is concerned with the application of Chaos Theory to the field of Electrical and Electronic Engineering. A comprehensive study on electrical and electronic systems which exhibit ...
  • Bedeker, Johanna Catharina (1999-10)
    The research conducted for the purpose of this study clearly showed that outcomes-based education (OBE) potentially offers a remedy for this country's ineffective education system which often fails to equip learners ...
  • Dorfling, Michael Jacobus (1999-02)
    The aim of the thesis is to develop game-theoretic techniques for dealing with common problems in model theory, mainly that of showing logical equivalence between structures, and to illustrate the effectiveness of the ...
  • Garner, Charles R. (2004)
    In this thesis, the ranks of many types of regular and strongly regular graphs are determined. Also determined are ranks of regular graphs under unary operations: the line graph, the complement, the subdivision graph, ...
  • Desormeaux, Wyatt Jules (2012-05-23)
    In this thesis, our primary objective is to investigate the effects that various graph modifications have on the total domination number of a graph. In Chapter 1, we introduce basic graph theory concepts and preliminary ...
  • Raubenheimer, Fredrika Susanna (2012-05-23)
    Within the field of Graph Theory the many ways in which graphs can be coloured have received a lot of attention over the years. T.R. Jensen and B. Toft provided a summary in [8] of the most important results and research ...
  • Scholes, Michael Timothy (2005-11)
    Roels [1] showed that on a two dimensional symplectic manifold, an arbitrary vector field can be locally decomposed into the sum of a gradient vector field and a Hamilton vector field. The Roels decomposition was extended ...
  • Swarts, Jacobus Stephanus (2000)
    This thesis is concerned with one possible interplay between commutative algebra and graph theory. Specifically, we associate with a commutative ring R a graph and then set out to determine how the ring's properties ...
  • Ungerer, Elna (1996)
    In Chapter 1 we will give a brief historical account of domination theory and define the necessary concepts which we use in the remainder of the thesis. In Chapter 2 we establish a lower bound for the minus k-subdomination ...

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