Browsing Department of Mathematical Sciences by Title

Now showing items 1-20 of 345

    • 3D numerical techniques for determining the foot of a continental slope 

      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 ...

    • 3D position estimation of sports players through multi-view tracking 

      Vos, Robert (Robbie) (Stellenbosch : University of Stellenbosch, 2010-12)
      ENGLISH ABSTRACT: Extracting data from video streams and using the data to better understand the observed world allows many systems to automatically perform tasks that ordinarily needed to be completed by humans. One ...

    • A 3D Virtual Environment Development Platform for ASD Therapy Tools 

      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 ...

    • An adaptive feature-based tracking system 

      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 ...

    • Adaptive occupancy grid mapping with measurement and pose uncertainty 

      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 ...

    • An algebraic framework for reasoning about security 

      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 ...

    • American Monte Carlo option pricing under pure jump levy models 

      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 ...

    • 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 ...

    • Analysing ranking algorithms and publication trends on scholarly citation networks 

      Dunaiski, Marcel Paul (Stellenbosch : Stellenbosch University, 2014-12)
      ENGLISH ABSTRACT: Citation analysis is an important tool in the academic community. It can aid universities, funding bodies, and individual researchers to evaluate scientific work and direct resources appropriately. With ...

    • Analysis of the effects of growth-fragmentation-coagulation in phytoplankton dynamics 

      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 ...

    • 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 ...

    • Analytic methods in combinatorial number theory 

      Baker, Liam Bradwin (Stellenbosch : Stellenbosch University, 2015-12)
      ENGLISH ABSTRACT : Two applications of analytic techniques to combinatorial problems with number-theoretic flavours are shown. The first is an application of the real saddle point method to derive second-order asymptotic ...

    • Analytic models of TCP performance 

      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 ...

    • An application of photogrammetry in the petrochemical industry 

      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 ...

    • Applications of change of numéraire for option pricing 

      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 ...

    • 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 ...

    • The architecture of antagonistic networks 

      Nuwagaba, Savannah (Stellenbosch : Stellenbosch University, 2013-03)
      ENGLISH ABSTRACT: Designing a mechanistic model that can give rise to realistic architecture of ecological networks is central to the understanding of how species assemble and function in ecosystems. As species are ...

    • 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 ...

    • The asymptotic number of binary codes and binary matroids 

      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.