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Now showing items 21-30 of 47

#### On algebraic geometric codes and some related codes

(Stellenbosch : University of Stellenbosch, 2006-12)

The main topic of this thesis is the construction of the algebraic geometric
codes (Goppa codes), and their decoding by the list-decoding, which allows
one to correct beyond half of the minimum distance. We also consider ...

#### Local class field theory via Lubin-Tate theory

(Stellenbosch : Stellenbosch University, 2008-12)

This is an exposition of the explicit approach to Local Class Field Theory
due to J. Tate and J. Lubin. We mainly follow the treatment given in [15]
and [25]. We start with an informal introduction to p-adic numbers. ...

#### 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, ...

#### Support vector machines, generalization bounds, and transduction

(Stellenbosch : University of Stellenbosch, 2003-12)

Please refer to full text for abstract.

#### Geometric actions of the absolute Galois group

(Stellenbosch : University of Stellenbosch, 2006-03)

This thesis gives an introduction to some of the ideas originating from A. Grothendieck's
1984 manuscript Esquisse d'un programme. Most of these ideas are related to a new
geometric approach to studying the absolute ...

#### On the computation of freely generated modular lattices

(Stellenbosch : Stellenbosch University, 2008-12)

Please refer to full text for abstract.

#### Modelling the impact of TB superinfection on the dynamics of HIV-TB coinfection

(Stellenbosch : University of Stellenbosch, 2009-03)

ENGLISH ABSTRACT: In this thesis, a mathematical model describing the interaction between HIV and TB
in the presence of TB superinfection is presented. The model takes into account two
strains of Mycobacterium tuberculosis ...

#### Interpolatory refinement pairs with properties of symmetry and polynomial filling

(Stellenbosch : University of Stellenbosch, 2008-03)

Subdivision techniques have, over the last two decades, developed into a powerful
tool in computer-aided geometric design (CAGD). In some applications it is
required that data be preserved exactly; hence the need for ...

#### 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 ...

#### Interpolatory refinable functions, subdivision and wavelets

(Stellenbosch : University of Stellenbosch, 2005-03)

Subdivision is an important iterative technique for the efficient generation of curves and
surfaces in geometric modelling. The convergence of a subdivision scheme is closely connected
to the existence of a corresponding ...