• 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 ...
    • 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 of Tumour-Immune Interactions and Cancer Therapy 

      Mahasa, Khaphetsi Joseph (Stellenbosch : Stellenbosch University, 2017-12)
      ENGLISH ABSTRACT : The immune system plays a key role against the development and progression of tumor cells mainly because of its capability of recognizing and destroying cancerous cells. While incredible research efforts ...
    • 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 ...
    • Modeling the impact of early HIV treatment on the HIV epidemic in South Africa 

      Bekele, Bewketu Teshale (Stellenbosch : Stellenbosch University, 2016-03)
      ENGLISH SUMMARY: Amajor international randomized clinical trial fromStrategic Timing of AntiRetroviral Treatment (START) has found that HIV-infected individuals have a considerably lower risk of developing AIDS if they ...
    • 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 ...
    • Modelling of the motion of a mixture of particles and a Newtonian fluid 

      Wilms, Josefine Maryna (Stellenbosch : Stellenbosch University, 2012-03)
      ENGLISH ABSTRACT: See full text for abstract
    • Modelling the control of tsetse and African trypanosomiasis through application of insecticides on cattle in Southeastern Uganda 

      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 ...
    • Modelling water-borne infections : the impact of hygiene, metapopulation movements and the biological control of cholera 

      Njagarah, Hatson John Boscoh (Stellenbosch : Stellenbosch University, 2014-12)
      ENGLISH ABSTRACT: Water-borne infections have been a menace in many countries around the globe, claiming millions of lives. Cholera in particular has spread to all continents and now on its seventh epidemic. Although ...
    • Neighbourhood operators on Categories 

      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 ...
    • Off-line signature verification 

      Coetzer, Johannes (Stellenbosch : University of Stellenbosch, 2005-03)
      A great deal of work has been done in the area of off-line signature verification over the past two decades. Off-line systems are of interest in scenarios where only hard copies of signatures are available, especially ...