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Browsing Department of Mathematics (Pure and Applied Mathematics) (ETDs) by Issue Date

Browsing Department of Mathematics (Pure and Applied Mathematics) (ETDs) by Issue Date

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  • Ras, Charl John (2003)
    In this thesis we study some of the propertie of a clas called automatic structures. Automatic structures are structures that can be encoded (in some defined way) into a set of regular languages. This encoding allows one ...
  • Hoffman, Lance Douglas
    Some important ideas froni classical control theory are introduced with the intention of applying them to chaotic dynamical systems, in particular the coupled logistic equations. The structure of this dissertation is such ...
  • Loubser, Anelda (1997)
    Die leerder met Wiskunde sukkel omdat hy nie 'n metode het om Wiskunde te leer nie. Groot druk word op die onderwyser geplaas, want hy moet nou vir die leerder leer hoe om Wiskunde te leer. Die vraag ontstaan of daar 'n ...
  • Jonck, Elizabeth (1997)
    The induced path number p(G) of a graph G is defined as the minimum number of subsets into which the vertex set V(G) of G can be partitioned such that each subset induces a path. In this thesis we determine the induced ...
  • Dorfling, Samantha (1998)
    Let G be a graph and D a set of vertices such that every vertex in G is in D or adjacent to at least one vertex in D. Then D is called a dominating set of G and the smallest cardinality of such a dominating set of G is ...
  • Van Wyk, Gertruida Petronella (2004)
    An overview of the process of mathematical logic's growth is depicted in this dissertation. Man began at the very beginning, distinguishing only between truth and falsity (a huge leap in those days, and definitely one in ...
  • Moagi, Samuel John Teboho (1998)
    In this work we will need the basic knowledge of Graph Theory as our background and as we go along we will state and prove some of the Lattice and Set Theory results. Every graph in this work is considered as a finite ...
  • Prentice, Justin Steven Calder (2001)
    A class of numerical methods for solving nonstiff initial value problems in ordinary differential equations has been developed. These methods, designated RKrGLn, are based on a Runge-Kutta method of order r (RKr), and ...
  • Schamm, Rainer Franz (2002)
    This short dissertation is intended to give a brief account of the history and current state of affairs in the field of study called 'Zero-one Laws'. The probability of a property P on a class of finite relational structures ...
  • Anderson, Keegan Doig (2011-11)
    Important ideas from dynamical systems theory and the restricted three-body problem are introduced. The intention is the application of dynamical systems theory techniques to the restricted three-body problem to better ...
  • Dlamini, Phumlani Goodwill (2012-02)
    There have been an extensive study on solutions of differential equations modeling physical phenomena that blows up in finite time. The blow-up time often represents an important change in the properties of such models and ...
  • Marcon, Sinclair Antony (2012)
    In chapter 1, we give the reader some background concerning digraphs that are used in the discussion of Markov chains; namely, their Markov digraphs. Warshall’s Algorithm for reachability is also introduced as this is ...
  • Marcon, Alister Justin (2012)
    In Chapter 1, we consider the relevant theory pertaining to graphs and digraphs that will be used in the study of flows in networks. Warshall’s algorithm for reachability is also considered since it will allow us to ...
  • McCoy, John Patrick (2013)
    Domination and its variants are now well studied in graph theory. One of these variants, paired-domination, requires that the subgraph induced by the dominating set contains a perfect matching. In this thesis, we further ...
  • De Greef, Jacqueline (2013)
    Entanglement is a quantum resource with applications in quantum communication as well as quantum computing amongst others. Since quantum entanglement is such an abstract concept numerous mathematical measures exist. ...
  • Ndzinisa, Dumsani Raymond (2013)
    Explicit schemes for integrating ODEs and time–dependent partial differential equations (in the method of lines–MoL–approach) are very well–known to be stable as long as the maximum sizes of their timesteps remain below a ...
  • Korostenski, Mareli (1975)
    Die eienskappe van 'n ring het 'n bepalende invloed op die eienskappe van die module oor daardie ring. So kan belangrike klasse van ringe gekarakteriseer word met behulp van module oar sodanige ringe. Origens blyk dat ...
  • Brink, Chris (1992)
    This thesis reports on an interdisciplinary research programme: an investigation of power structures, and their applications in various fields. A power construction is an attempt to lift whatever structure may exist ...
  • Hattingh, Johannes Hendrik (1985)
    Please refer to full text to view abstract

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