The work presented in this dissertation is concerned with the application of Chaos
Theory to the field of Electrical and Electronic Engineering. A comprehensive study on electrical and electronic systems which exhibit ...
In this thesis aspects of continuous symmetries of differential equations are studied. In
particular the following aspects are studied in detail: Lie algebras, the Lie derivative, the
jet bundle formalism for differential ...
Some important ideas froni classical control theory are introduced with the intention of applying them to chaotic dynamical systems, in particular the coupled logistic equations. The structure of this dissertation is such ...
One of the earliest results (1955) in the theory of derivations is the celebrated
theorem of I. M. Singer and J. Wermer [14] which asserts that every bounded
derivation on a commutative Banach algebra has range contained ...
Let G be a graph and D a set of vertices such that every vertex in G is in D or adjacent to at least one vertex in D. Then D is called a dominating set of G and the smallest cardinality of such a dominating set of G is ...
Domination in graphs is now well studied in graph theory and the literature on this
subject has been surveyed and detailed in the two books by Haynes, Hedetniemi, and
Slater [45, 46]. In this thesis, we continue the study ...
The aim of this thesis is to investigate the topic of edge-colourings of graphs in the
context of hereditary graph properties. We particularly aim to investigate analogues
of reducibility, unique factorization and some ...
In this study we consider the problem ofestiniating the slope in the simple linear errors-in-variables model. There are two different types of relationship that can he specified in the errors-in-variables model: one that ...
In Chapter 1, we consider the relevant theory pertaining to graphs and digraphs
that will be used in the study of flows in networks. Warshall’s algorithm for
reachability is also considered since it will allow us to ...
The aim of the thesis is to develop game-theoretic techniques for dealing with common
problems in model theory, mainly that of showing logical equivalence between structures,
and to illustrate the effectiveness of the ...
In this thesis we investigate generalized chromatic numbers in the context of hereditary
graph properties. We also investigate the general topic of invariants of graphs as well as
graph properties.
In Chapter 1 we give ...
Important ideas from dynamical systems theory and the restricted three-body
problem are introduced. The intention is the application of dynamical systems
theory techniques to the restricted three-body problem to better ...
The basis for this study rests upon the question whether typical human reasoning is reliant upon the application of formal inference rules or not. Two major approaches on this topic, formal logic and mental model theory, ...
In this thesis, the ranks of many types of regular and strongly regular graphs are
determined. Also determined are ranks of regular graphs under unary operations: the line
graph, the complement, the subdivision graph, ...
Die leerder met Wiskunde sukkel omdat hy nie 'n metode het om Wiskunde te leer nie. Groot druk word op die onderwyser geplaas, want hy moet nou vir die leerder leer hoe
om Wiskunde te leer. Die vraag ontstaan of daar 'n ...
In this work we will need the basic knowledge of Graph Theory as our background and as we
go along we will state and prove some of the Lattice and Set Theory results. Every graph in
this work is considered as a finite ...
In this thesis we study the techniques used to calculate the Hamilton operators related to linear optical quantum computing. We also discuss the basic building blocks of linear optical quantum computing (LOQC) by looking ...