Browsing Doctoral Degrees (Mathematical Sciences) by Title

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Browsing Doctoral Degrees (Mathematical Sciences) by Title

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  • Karumbidza, Archie (Stellenbosch : Stellenbosch University, 2013-03)
    ENGLISH ABSTRACT: This thesis deals with a function eld analog of the André-Oort conjecture. The (classical) André-Oort conjecture concerns the distribution of special points on Shimura varieties. In our case we consider ...
  • Theron, Willem F.D. (Stellenbosch : University of Stellenbosch, 2008-03)
    This dissertation contains a detailed report on the results of a research project on the behaviour of a dynamical system consisting of a hoop to which a heavy particle is fixed at the rim. This loaded hoop rolls on a ...
  • Muller, Rikus (Stellenbosch : University of Stellenbosch, 2009-03)
    The replacement of the standard discrete cosine transform (DCT) of JPEG with the windowed modifed DCT (MDCT) is investigated to determine whether improvements in numerical quality can be achieved. To this end, we employ ...
  • Bezuidenhout, Johannes Abraham (Stellenbosch : Stellenbosch University, 2012-02)
    ENGLISH ABSTRACT: The general goal of this thesis is the investigation of a technique that allows model checking to be directly integrated into the software development process, preserving the benefits of model checking ...
  • Van der Bijl, Rinske (Stellenbosch : Stellenbosch University, 2012-03)
    ENGLISH ABSTRACT: Multi-resolution analysis (MRA) has become a very popular eld of mathematical study in the past two decades, being not only an area rich in applications but one that remains lled with open problems. ...
  • Woudberg, Sonia (Stellenbosch : Stellenbosch University, 2012-12)
    ENGLISH ABSTRACT: Research on transfer processes in various types of porous media has become important for the optimization of high technology engineering devices and processes. In this study the micro-structural parameters ...
  • Marais, Magdaleen Suzanne (Stellenbosch : University of Stellenbosch, 2010-12)
    ENGLISH ABSTRACT: THE concept of a k-matrix in the full 2 2 matrix ring M2(R=hki), where R is an arbitrary unique factorization domain (UFD) and k is an arbitrary nonzero nonunit in R, is introduced. We obtain a concrete ...
  • Wild, Marcel Wolfgang (University of Zurich, 1987-05)
    ABSTRACT: A linear representation of a modular lattice L is a homomorphism from L into the lattice Sub(V) of all subspaces of a vector space V. The representation theory of lattices was initiated by the Darmstadt school ...
  • Rakotoniaina, Tahina (Stellenbosch : Stellenbosch University, 2008-12)
    Class field theory describes the abelian extensions of a given field K in terms of various class groups of K, and can be viewed as one of the great successes of 20th century number theory. However, the main results in ...
  • Muller, Neil (Stellenbosch : Stellenbosch University, 2000-12)
    ENGLISH ABSTRACT: In this thesis we examine some aspects of automatic face recognition, with specific reference to the eigenface technique. We provide a thorough theoretical analysis of this technique which ...
  • Murrel, Benjamin (Stellenbosch : Stellenbosch University, 2012-12)
    ENGLISH ABSTRACT: Computational molecular evolution is a field that attempts to characterize how genetic sequences evolve over phylogenetic trees – the branching processes that describe the patterns of genetic inheritance ...
  • Hunter, Karin M. (Stellenbosch : University of Stellenbosch, 2005-03)
    Subdivision is an important iterative technique for the efficient generation of curves and surfaces in geometric modelling. The convergence of a subdivision scheme is closely connected to the existence of a corresponding ...
  • Ralaivaosaona, Dimbinaina (Stellenbosch : Stellenbosch University, 2012-03)
    ENGLISH ABSTRACT: Various properties of integer partitions are studied in this work, in particular the number of summands, the number of ascents and the multiplicities of parts. We work on random partitions, where all ...
  • Ssebuliba, Doreen (Stellenbosch : Stellenbosch University, 2013-12)
    ENGLISH ABSTRACT: Nurses, midwives and clinical officers referred to as Mid-level Practioners (MLPs) play an important role in the health care system especially in rural Africa. With particular reference to rural Uganda, ...
  • Marijani, Theresia (Stellenbosch : Stellenbosch University, 2012-12)
    Please refer to full text for abstract.
  • Gerber, Erick D. B. (Stellenbosch : Stellenbosch University, 2007-03)
    ENGLISH ABSTRACT: Computer aided veri cation techniques, such as model checking, can be used to improve the reliability of software. Model checking is an algorithmic approach to illustrate the correctness of temporal ...
  • Cloete, Maret (Stellenbosch : Stellenbosch University, 2013-03)
    ENGLISH ABSTRACT: Different generalized Newtonian fluids (where the normal stresses were neglected) were considered in this study. Analytical expressions were derived for time independent, fully developed velocity profiles ...
  • Wilms, Josefine Maryna (Stellenbosch : Stellenbosch University, 2012-03)
    ENGLISH ABSTRACT: See full text for abstract
  • Kajunguri, Damian (Stellenbosch : Stellenbosch University, 2013-03)
    ENGLISH ABSTRACT: In Uganda, cattle are an important reservoir of Trypanosoma brucei rhodesiense, a parasite that causes human African trypanosomiasis or sleeping sickness. We developed mathematical models to examine the ...
  • Razafindrakoto, Ando Desire (Stellenbosch : Stellenbosch University, 2013-03)
    ENGLISH ABSTRACT: While the notions of open and closed subsets in a topological space are dual to each other, they take on another meaning when points and complements are no longer available. Closure operators have ...