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Theses and Dissertations (Mathematics and Applied Mathematics): Recent submissions
Now showing items 121-140 of 168
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(University of Pretoria, 2011)It is well known that a classical solution of the initial value problem for a scalar conservation law may fail to exist on the whole domain of definition of the problem. For this reason, suitable generalized solutions of ...
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(University of Pretoria, 2006-09-06)Please read the abstract in the section 00front of this document
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(University of Pretoria, 2005-09-06)No abstract supplied
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(University of Pretoria, 2006-08-26)Please read the abstract/summary in the section 00back of this document.
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(University of Pretoria, 2007-08-24)Abstract available on page 4 of the document
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(University of Pretoria, 2007-08-21)Prime numbers are of the utmost importance in many applications and in particular cryptography. Firstly, number theory background is introduced in order to present the non-deterministic Solovay-Strassen primality test. ...
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(University of Pretoria, 2010-08-17)Credit scoring is a mechanism used to quantify the risk factors relevant for an obligor’s ability and willingness to pay. Credit scoring has become the norm in modern banking, due to the large number of applications received ...
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(University of Pretoria, 2010-08-17)The LULU operators, Ln and Un, are smoothers, that is they smooth data received as a signal. They are nonlinear and this nonlinearity makes them more robust but also more complicated to study since the projection theorem ...
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(University of Pretoria, 2011)Employee share options and Black Economic Empowerment deals are financial instruments found in the South African market. Employee share options (ESOs) are issued as a form of non-cash compensation to the employees of the ...
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(University of Pretoria, 2007-05-15)We study the order convergence of sequences on a vector lattice. It is shown that this mode of convergence is induced by a convergence structure. One such a convergence structure is defined and its properties are studied. ...
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(University of Pretoria, 2007-07-26)Stochastic differential equations (SDE’s) are used to describe systems which are influenced by randomness. Here, randomness is modelled as some external source interacting with the system, thus ensuring that the stochastic ...
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(University of Pretoria, 2010-09-09)In this dissertation we establish results concerning in locally convex spaces-valued measures and measurable functions. The results are explained in three parts: Firstly, we establish Liapounoff convexity-type results for ...
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(University of Pretoria, 2005-07-26)Please read the abstract in the section, 00front, of this document
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(University of Pretoria, 2006-07-26)In this dissertation, we examine current models used to value default-risky bonds. These models include both the structural and the reduced-form approaches. We begin by examining various issues involved in modelling credit ...
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(University of Pretoria, 2006-07-26)We discuss Lojasiewicz's beautiful proof of the division theorem for smooth functions. The standard proofs are based on the Weierstrass preparation theorem for analytic functions and use techniques from the theory of partial ...
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(University of Pretoria, 2012)In the mathematical modeling of the classical option pricing models it is assumed that the underlying stock price process follows a geometric Brownian motion, but through statistical analysis persistency was found in the ...
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(University of Pretoria, 2007-02-01)Understanding abstract concepts and ideas in mathematics if instruction takes place in the first language of the student is challenging as it is. Yet worldwide students often have to master mathematics via a second or even ...
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(University of Pretoria, 1964)Please read the abstract in the thesis
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(University of Pretoria, 2009-10-26)We study the relationship between real and complex tensor norms. The theory of tensor norms on tensor products of Banach spaces, was developed, by A. Grothendieck, in his Resumé de la théorie métrique des produits tensoriels ...
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(University of Pretoria, 2009-10-26)This thesis analyses numerical methods used in finding solutions of diferential equations. Numerical methods are viewed as discrete dynamical systems that give useful information on continuous dynamical systems defined by ...
Now showing items 121-140 of 168