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Maximal left ideals and idealizers in matrix rings
(University of the Western Cape, 1984)
In this chapter we supply all the necessary definitions as well as the required results needed in this work. All the notation and terminology will also be explained carefully. §1 DEFINITIONS AND NOTATION R will always ...
The determination of diffracted wave fields by an annulus according to Braunbek’s method
(University of the Western Cape, 1981)
In this thesis a short wave approximation, the method oI
W Braunbek, is used to determine the diffracted fields
(acoustic and electromagnetic) of plane harmonic waves by
an annular aperture.
Integral representations ...
Generalization of a theorem of fitting on the product of two normal nilpotent subgroups of a group
(University of the Western Cape, 1977)
Fitting proved that if H and K are normal nilpotent
subgroups of G, then so is HK (t1 l'Hilfssatz 10, p. 100).
The question arises if this result could be generalized
to other group theoretical properties
Conjugacy classes of some projective linear groups
(University of the Western Cape, 1992)
Given a finite set X of distinct symbols the symmetric group Sx and the alternating group Ax are obtained without further constructions. More interesting groups are contrived, however, by imposing a certain structure on ...
Left versus right canonical wiener-hopf factorization for rational matrix functions: an alternative version
(University of the Western Cape, 1995)
It is an established fact that both canonical and non-canonical Wiener-hopf factorizations of matrix functions play an important role in various aspects of mathematical analysis and its applications. Indeed, for instance, ...
Computing Mislin genera of certain groups with non-abelian torsion radicals
(University of the Western Cape, 2004)
In this mini-thesis we present some generalities of non-cancellation and localization
and we compute non-cancellation groups. We consider groups belonging to the class
X0 of all finitely generated groups that have finite ...
A critical analysis of the pre-calculus course at U.W.C.
(University of the Western Cape, 2002)
Mathematical knowledge and skills have, over the last few decades, become very important in terms of study and work opportunities. Unfortunately, schools in South Africa have not met the expectations of their pupils or the ...
Singular integral equations and realization: A survey of the state space method
(University of the Western Cape, 1996)
Different methods for solving singular integral equations exist. One of the most recent methods is the so-called state space method. This method is based on the fact that a rational matrix function VV(^) which is analytic ...
Computation of the character tables of certain group extensions
(University of the Western Cape, 1997)
In this chapter some basic theory on group extensions is first given in section 1.1 and then a method for finding the conjugacy classes of group extensions is described in section i.2. In section 1.3 we look at an example ...
Elementary Logic as a Tool in Proving Mathematical Statements
(University of the Western Cape, 2008)
An analysis of South African school mathematics results indicates that one of the problem areas in the mathematical performance of learners is proof and proving. In an endeavour to improve the mathematical proving ability ...