Browsing Department of Mathematical Sciences by Title

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Browsing Department of Mathematical Sciences by Title

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  • Pantland, Nicolette Ariana (Stellenbosch : Stellenbosch University, 2004-12)
    ENGLISH ABSTRACT: The United Nations Convention on the Law of the Sea (UNCLOS) provides an opportunity for qualifying coastal signatory states to claim extended maritime estate. The opportunity to claim rests on the ...
  • Chamberlain, Morne Edward (Stellenbosch : University of Stellenbosch, 2009-12)
    ENGLISH ABSTRACT: The aim of this thesis is to develop a generic 3D virtual environment development platform for autism spectrum disorder (ASD) therapy tools. The potential of using computerised therapy tools for ASD ...
  • Pretorius, Eugene (Stellenbosch : University of Stellenbosch, 2008-03)
    In this paper, tracking tools are developed based on object features to robustly track the object using particle filtering. Automatic on-line initialisation techniques use motion detection and dynamic background modelling ...
  • Joubert, Daniek (Stellenbosch : Stellenbosch University, 2012-12)
    ENGLISH ABSTRACT: In this thesis we consider the problem of building a dense and consistent map of a mobile robot’s environment that is updated as the robot moves. Such maps are vital for safe and collision-free ...
  • Rajaona, Solofomampionona Fortunat (Stellenbosch : Stellenbosch University, 2013-03)
    ENGLISH ABSTRACT: Stepwise development of a program using refinement ensures that the program correctly implements its requirements. The specification of a system is “refined” incrementally to derive an implementable ...
  • West, Lydia (Stellenbosch : Stellenbosch University, 2013-03)
    ENGLISH ABSTRACT: We study Monte Carlo methods for pricing American options where the stock price dynamics follow exponential pure jump L évy models. Only stock price dynamics for a single underlying are considered. The ...
  • 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 ...
  • Omari, Mohamed (Stellenbosch : Stellenbosch University, 2011-12)
    ENGLISH ABSTRACT: An integro-differential equation describing the dynamical behaviour of phytoplankton cells is considered in which the effects of cell division and aggregation are incorporated by coupling the ...
  • 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 ...
  • Kassa, Debassey Fesehaye (Stellenbosch : University of Stellenbosch, 2011-10)
    ENGLISH ABSTRACT: The majority of tra c on the Internet uses the Transmission Control Protocol (TCP) as a transport layer protocol for the end-to-end control of information transfer. Measurement, simulation and analytical ...
  • Singels, Wynand (Stellenbosch : Stellenbosch University, 2008-03)
    When building or improving a petrochemical plant, drawings are used extensively in the design process. However, existing petrochemical plants seldom match their drawings, or the drawings are lost, forcing the need to ...
  • Le Roux, Gawie (Stellenbosch : University of Stellenbosch, 2007-12)
    The word numéraire refers to the unit of measurement used to value a portfolio of assets. The change of numéraire technique involves converting from one measurement to another. The foreign exchange markets are natural ...
  • 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 ...
  • Wild, Marcel (Society for Industrial and Applied Mathematics (SIAM), 2006-08)
    The asymptotic number of nonequivalent binary n-codes is determined. This is also the asymptotic number of nonisomorphic binary matroids on n elements.
  • Reikeras, Helge (Stellenbosch : University of Stellenbosch, 2011-03)
    Please refer to full text to view abstract.
  • Smal, Eugene (Stellenbosch : Stellenbosch University, 2008-12)
    In this thesis we consider the modelling of a particular layout optimisation problem, namely, the LEGO construction problem. The LEGO construction problem, in short, concerns the optimal layout of a set of LEGO bricks ...
  • Louw, Lloyd A. B. (Stellenbosch : University of Stellenbosch, 2007-03)
    The face is one of the most characteristic parts of the human body and has been used by people for personal identification for centuries. In this thesis an automatic process for frontal face recognition from 2–dimensional ...
  • 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 ...
  • Brewis, Louis Hugo (Stellenbosch : University of Stellenbosch, 2005-12)
    It is an open question whether or not one can always lift Galois extensions of smooth algebraic curves in characteristic p to Galois extensions of smooth relative curves in characteristic 0. In this thesis we study some ...
  • Crous, C. B. (Stellenbosch : University of Stellenbosch, 2009-03)
    In this thesis we consider the dynamic path planning problem for robotics. The dynamic path planning problem, in short, is the task of determining an optimal path, in terms of minimising a given cost function, from one ...