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Browsing Department of Mathematical Sciences by Title

Browsing Department of Mathematical Sciences by Title

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  • Quasi-orthogonality and real zeros of some 2F2 and 3F2 polynomials 
    Johnston, Sarah Jane; Jordaan, Kerstin (Elsevier, 2015)
    In this paper, we prove the quasi-orthogonality of a family of 2F2 polynomials and several classes of 3F2 polynomials that do not appear in the Askey scheme for hypergeometric orthogonal polynomials. Our results include, ...
  • The queen's domination problem 
    Burger, Alewyn Petrus (1998-11)
    The queens graph Qn has the squares of then x n chessboard as its vertices; two squares are adjacent if they are in the same row, column or diagonal. A set D of squares of Qn is a dominating set for Qn if every square ...
  • Radio astronomy techniques : the use of radio instruments from single dish radio telescopes to radio interferometers 
    De Witt, Aletha (2012-03)
    New radio telescopes under development, will significantly enhance the capabilities of radio astronomy in the Southern Hemisphere. South Africa, in particular, is actively involved in the development of a new array ...
  • Remoteness in the category of locales 
    Nxumalo, Mbekezeli Sibahle (2023-05)
    This thesis is concerned with the study of remote sublocales which are a pointfree version of remote subsets which we de ne using van Mill's de nition of a remote collection. Unlike in van Mill's case though, the remote ...
  • Risk properties and parameter estimation on mean reversion and Garch models 
    Sypkens, Roelf (2010-09)
    Most of the notations and terminological conventions used in this thesis are Statistical. The aim in risk management is to describe the risk factors present in time series. In order to group these risk factors, one needs ...
  • The role of the pedagogical content knowledge in the learning of quadratic functions 
    Ibeawuchi, Emmanuel Ositadinma (2010-06)
    This study investigates to what extent educators’ pedagogical content knowledge affects learners’ achievement in quadratic functions. The components of pedagogical content knowledge (PCK) examined are: (i) mathematical ...
  • A simulation study of the effect of therapeutic horseback riding : a logistic regression approach 
    Pauw, Jeanette (1998-11)
    Therapeutic horseback riding (THR) uses the horse as a therapeutic apparatus in physical and psychological therapy. This dissertation suggests a more appropriate technique for measuring the effect of THR. A research ...
  • Solving multiobjective mathematical programming problems with fixed and fuzzy coefficients 
    Ruzibiza, Stanislas Sakera (2011-04)
    Many concrete problems, ranging from Portfolio selection to Water resource management, may be cast into a multiobjective programming framework. The simplistic way of superseding blindly conflictual goals by one objective ...
  • Some properties of the Kermack-McKendrick epidemic model with fractional derivative and nonlinear incidence 
    Doungmo Goufo, Emile F; Maritz, Riëtte; Munganga, Justin (2014-10-30)
    Abstract Kermack-McKendrick epidemic model is considered as the basis from which many other compartmental models were developed. But the development of fractional calculus applied to mathematical epidemiology ...
  • Some stochastic problems in reliability and inventory 
    Hargreaves, Carol Anne (2009-08-25)
    An attempt is made in this thesis to study some stochastic models of both reliability and inventory systems with reference to the following aspects: (i) the confidence limits with the introduction of common-cause ...
  • Spectral factorization of matrices 
    Gaoseb, Frans Otto (2020-06)
    The research will analyze and compare the current research on the spectral factorization of non-singular and singular matrices. We show that a nonsingular non-scalar matrix A can be written as a product A = BC where the ...
  • Stable matching in preference relationships 
    Philpin, Elizabeth Mary (2009-08-25)
    It is the aim of this paper to review some of the work done on stable matching, and on stable marriage problems in particular. Variants of the stable marriage problem will be considered, and the similarities and differences ...
  • Static and dynamic traversable wormholes 
    Adamiak, Jaroslaw Pawel (2009-08-25)
    The aim of this work is to discuss the effects found in static and dynamic wormholes that occur as a solution of Einstein equations in general relativity. The ground is prepared by presentation of "faster than light" ...
  • Statistical modelling by neural networks 
    Fletcher, Lizelle (2002-06)
    In this thesis the two disciplines of Statistics and Artificial Neural Networks are combined into an integrated study of a data set of a weather modification Experiment. An extensive literature study on artificial neural ...
  • Statistical modelling of return on capital employed of individual units 
    Burombo, Emmanuel Chamunorwa (2014-10)
    Return on Capital Employed (ROCE) is a popular financial instrument and communication tool for the appraisal of companies. Often, companies management and other practitioners use untested rules and behavioural approach ...
  • A strategic model for planning and implementing an on-line approach for continuous professional development 
    Van der Merwe, Thomas Mc Donald (2008-06)
    The poor performance by South African pupils in The Third International Mathematics and Science Study highlighted the importance of and need for Continuing Professional Development (CPD) for South African mathematics ...
  • Structural equation modelling 
    Mohanlal, Pramod (1997-06)
    Over the past two decades there has been an upsurge in interest in structural equation modelling (SEM). Applications abound in the social sciences and econometrics, but the use of this multivariate technique is not so ...
  • A study on the analysis of two-unit redundant repairable complex systems 
    Mohoto, Seth Themba (1998-06)
    Two well-known methods of improving the reliability of a system are (i) provision of redundant units, and (ii) repair maintenance. In a redundant system more units made available for performing the system function when ...
  • Sublocale-based ideals of rings of integer-valued functions 
    Tlharesakgosi, Batsile (2021-07)
    Let L be a zero-dimensional frame and ZL be the ring of continuous integer-valued functions on L. We associate with each sublocale of L, the Banaschewski compacti cation of L, an ideal of ZL, and study the behaviour of ...
  • Sums and products of square-zero matrices 
    Hattingh, Christiaan Johannes (2018-03)
    Which matrices can be written as sums or products of square-zero matrices? This question is the central premise of this dissertation. Over the past 25 years a signi - cant body of research on products and linear combinations ...

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