• A categorical approach to lattice-like structures 

      Hoefnagel, Michael Anton (Stellenbosch : Stellenbosch University, 2018-12)
      ENGLISH ABSTRACT : This thesis is a first step in a categorical approach to lattice-like structures. Its central notion, that of a majority category, relates to the category of lattices, in a similar way as Mal’tsev ...
    • 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 ...
    • The eco-evolutionary dynamics of mutualistic networks: from pattern of emergence to stability 

      Minoarivelo, Henintsoa Onivola (Stellenbosch : Stellenbosch University, 2016-03)
      ENGLISH ABSTRACT: Mutualistic interactions, such as the interactions between flowering plants and their pollinators are ubiquitous in nature. A community in which members are involved in multiple mutualistic interactions ...
    • 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 ...