Search
Now showing items 81-90 of 90
Pairings of binary reflexive relational structures
(University of the Western Cape, 2007)
The main purpose of this thesis is to study the interplay between relational structures and topology, and to portray pairings in terms of some finite poset models and order preserving maps. We show the interrelations between ...
Character tables of some groups of extension type
(University of the Western Cape, 2002)
The main aim of this mini-thesis is to give a description of some of the basic methods and techniques
that have been developed to calculate the character tables of groups of extension type. We restrict
our attention to ...
The non-cancellation groups of certain groups which are split extensions of a finite abelian group by a finite rank free abelian group
(University of the Western Cape, 2008)
The groups we consider in this study belong to the class Xo of all finitely generated groups with finite commutator subgroups. We shall eventually narrow down to the groups of the form T)<lw zn for some nE N and some finite ...
Character Tables Of Some Groups of Extension Type
(University of the Western Cape, 2002)
The main aim of this mini-thesis is to give a description of some of the basic methods and techniques that have been developed to calculate the character tables of groups of extension type. We restrict our attention to ...
Codes Related to and Derived from Hamming Graphs
(University of the Western Cape, 2013)
For integers n, k 2:: 1, and k ~ n, the graph r~has vertices the 2n vectors of lF2 and adjacency defined by two vectors being adjacent if they differ in k coordinate positions. In particular, r~is the classical n-cube, ...
Pairings of binary reflexive relational structures
(University of the Western Cape, 2007)
The main purpose of this thesis is to study the interplay between relational structures and topology, and to portray pairings in terms of some finite poset models and order preserving maps. We show the interrelations between ...
Conjugacy classes of some projective linear groups
(University of the Western Cape, 1992)
Given a finite set X of distinct symbols the symmetric group S* and the alternating group A* are obtained without further constructions. More interesting groups are contrived, however, by imposing a certain structure on ...
Mathematical modeling of the population dynamics and optimal control of COVID-19 disease
(2024)
Since the onset of the COVID-19 pandemic, researchers speculated that this virus would create numerous challenges in the daily lives of individuals, especially medical and governmental authorities as they are put under ...
A categorical study of persistent homology for closure space
(University of the Western Cape, 2023)
We begin with the concept of closure space and show how it relates to other objects like graphs and metric spaces in categorical terms. We also study the notion of simplicial sets and show that there is an adjunction between ...
Modelling the basel III capital adequacy and net stable funding ratios for a commercial bank following an optimal investment strategy
(University of the Western Cape, 2024)
Commercial banks have a significant impact on a country’s economy as they raise capital, create liquidity by converting their customers’ deposits into loans, and deliver essential services such as loans, certificates of ...