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Now showing items 1-10 of 13

#### Basic properties of models for the spread of HIV/AIDS

(Stellenbosch : Stellenbosch University, 2007-03)

ENGLISH ABSTRACT: While research and population surveys in HIV/AIDS are well established in
developed countries, Sub-Saharan Africa is still experiencing scarce HIV/AIDS
information. Hence it depends on results obtained ...

#### Numerical indefinite integration using the sinc method

(Stellenbosch : University of Stellenbosch, 2007-03)

In this thesis, we study the numerical approximation of indefinite integrals with
algebraic or logarithmic end-point singularities. We show the derivation of the
two quadrature formulas proposed by Haber based on the ...

#### Applications of change of numéraire for option pricing

(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 ...

#### Polynomial containment in refinement spaces and wavelets based on local projection operators

(Stellenbosch : Stellenbosch University, 2007-03)

ENGLISH ABSTRACT: See full text for abstract

#### Idempotente voortbringers van matriksalgebras

(Stellenbosch : University of Stellenbosch, 2007-12)

An exposition is given of [12], a paper by N. Krupnik, which is a discussion of the minimum
number of idempotent generators of a complete matrix algebra Mn(F) over a field F, as
well as direct sums of complete matrix ...

#### Formal specification and verification of safety interlock systems: A comparative case study

(Stellenbosch : University of Stellenbosch, 2007-12)

The ever-increasing reliance of society on computer systems has led to a need for highly reliable
systems. There are a number of areas where computer systems perform critical functions and
the development of such systems ...

#### On the analysis of refinable functions with respect to mask factorisation, regularity and corresponding subdivision convergence

(Stellenbosch : University of Stellenbosch, 2007-12)

We study refinable functions where the dilation factor is not always assumed to be 2. In
our investigation, the role of convolutions and refinable step functions is emphasized as a
framework for understanding various ...

#### The discrete pulse transform and applications

(Stellenbosch : University of Stellenbosch, 2007-03)

Data analysis frequently involves the extraction (i.e. recognition) of parts that are important
at the expense of parts that are deemed unimportant. Many mathematical perspectives
exist for performing these separations, ...

#### On towers of function fields over finite fields

(Stellenbosch : University of Stellenbosch, 2007-03)

Explicit towers of algebraic function fields over finite fields are studied
by considering their ramification behaviour and complete splitting. While
the majority of towers in the literature are recursively defined by a ...

#### Studies on factoring polynomials over global fields

(Stellenbosch : University of Stellenbosch, 2007-12)

In this thesis, we surveyed the most important methods for factorization of polynomials over a global
field, focusing on their strengths and showing their most striking disadvantages. The algorithms we
have selected are ...