Browsing Doctoral Degrees (Mathematical Sciences) by Title

Now showing items 1-20 of 56

    • 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 ...

    • Binary closure operators 

      Abdalla, Abdurahman Masoud (Stellenbosch : Stellenbosch University, 2016-03)
      ENGLISH ABSTRACT : In this thesis we provide a new foundation to categorical closure operators, using more elementary binary closure operators on posets. The original goal of the thesis was to study a categorical closure ...

    • 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. ...

    • Centrality in random trees 

      Durant, Kevin (Stellenbosch : Stellenbosch University, 2017-12)
      ENGLISH ABSTRACT : We consider two notions of centrality—namely, the betweenness centrality of a node and whether or not it is a centroid—in families of simply generated and increasing trees. Both of these concepts are ...

    • 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 ...

    • Contributions to the analysis of approximate counting 

      Prodinger, Helmut (Stellenbosch : Stellenbosch University, 2016-03)
      ENGLISH ABSTRACT : Approximate Counting is a classical technique with very challenging questions re- lated to its performance analysis. It is also somewhat similar to parameters around Digital Search trees. Surprising ...

    • 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 ...

    • Fredholm theory in ordered Banach algebras 

      Benjamin, Ronalda Abigail Marsha (Stellenbosch : Stellenbosch University, 2016-03)
      ENGLISH ABSTRACT : Since its inception, Fredholm theory has become an important aspect of spectral theory. Among the spectra arising within Fredholm theory is the Weyl spectrum which has been intensively studied by several ...

    • Generalised sequences and compactness notions in point-free topology 

      Masuret, Jacques (Stellenbosch : Stellenbosch University, 2017-12)
      ENGLISH ABSTRACT : While sequences and naturally associated notions like convergence and clustering have received extensive attention in classical topology, the same cannot be said for the point-free setting. The aim of ...

    • 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 ...

    • Integration of multifunctions with respect to a multimeasure 

      Brink, Harry Edward (Stellenbosch : Stellenbosch University, 1999-12)
      ENGLISH SUMMARY: The main objective of this thesis is to define and investigate the properties of the integral of a multifunction F (where F is from a point set T into a Banach space X) with respect to a multimeasure M ...