Browsing Doctoral Degrees (Mathematical Sciences) by Title

Now showing items 1-20 of 42

    • An analogue of the Andre-Oort conjecture for products of Drinfeld modular surfaces 

      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 ...

    • Analysis of the rolling motion of loaded hoops 

      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 ...

    • Applying the MDCT to image compression 

      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 ...

    • Arithmetic of carlitz polynomials 

      Bamunoba, Alex Samuel (Stellenbosch : Stellenbosch University, 2014-12)
      ENGLISH ABSTRACT: See pdf for abstract

    • Aspects of the pre- and post-selection classification performance of discriminant analysis and logistic regression 

      Louw, Nelmarie (Stellenbosch : Stellenbosch University, 1997-12)
      ENGLISH ABSTRACT: Discriminani analysis and logistic regression are techniques that can be used to classify entities of unknown origin into one of a number of groups. However, the underlying models and assumptions for ...

    • Automated program generation : bridging the gap between model and implementation 

      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 ...

    • Bivariate wavelet construction based on solutions of algebraic polynomial identities 

      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. ...

    • Combinatorics of oriented trees and tree-like structures 

      Okoth, Isaac Owino (Stellenbosch : Stellenbosch University, 2015-03)
      ENGLISH ABSTRACT : In this thesis, a number of combinatorial objects are enumerated. Du and Yin as well as Shin and Zeng (by a different approach) proved an elegant formula for the number of labelled trees with respect ...

    • Comparative analysis of predictive equations for transfer processes in different porous structures 

      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 ...

    • Contributions to centralizers in matrix rings 

      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 ...

    • Dreieckverbande : lineare und quadratische darstellungstheorie 

      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 ...

    • Explicit class field theory for rational function fields 

      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 ...

    • Facial recognition, eigenfaces and synthetic discriminant functions 

      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 ...

    • Improved models of biological sequence evolution 

      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 ...

    • Interpolatory refinable functions, subdivision and wavelets 

      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 ...

    • Limit theorems for integer partitions and their generalisations 

      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 ...

    • Mathematical modelling of the effectiveness of two training interventions on infectious diseases in Uganda 

      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, ...

    • Mathematical modelling on interaction between malaria parasites and the host immune system 

      Marijani, Theresia (Stellenbosch : Stellenbosch University, 2012-12)
      Please refer to full text for abstract.

    • A model checker for the LF system 

      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 ...

    • Modelling of non-Newtonian fluid flow through and over porous media with the inclusion of boundary effects 

      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 ...