Skip to main content

Research Repository

Advanced Search

On the membership of invertible diagonal and scalar matrices (2007)
Journal Article
Bell, P. (2007). On the membership of invertible diagonal and scalar matrices. Theoretical Computer Science, 37 - 45. https://doi.org/10.1016/j.tcs.2006.11.011

In this paper, we consider decidability questions that are related to the membership problem in matrix semigroups. In particular, we consider the membership of a given invertible diagonal matrix in a matrix semigroup and then a scalar matrix, which h... Read More about On the membership of invertible diagonal and scalar matrices.

Infinity (2007)
Book Chapter
(2007). Infinity. In Philosophy of Logic, vol. 5 of the Handbook of the Philosophy of Science (523 -585)

This essay surveys the different types of infinity that occur in pure and applied mathematics, with emphasis on: 1. the contrast between potential infinity and actual infinity; 2. Cantor's distinction between transfinite sets and absolute infinity; 3... Read More about Infinity.

Improved Bayesian Approach for Face Recognition (2005)
Presentation / Conference Contribution
Jiang, X.-D., Mandal, B., & Kot, A. (2005, December). Improved Bayesian Approach for Face Recognition. Presented at International Conference on Information, Communications and Signal Processing, Bangkok, Thailand

In subspace face recognition, PCA, LDA and Bayesian are the most commonly used methods. Each of them has their own advantages and disadvantages in recognizing human faces. Their recognition rates depend much on the methodologies used in selecting/tra... Read More about Improved Bayesian Approach for Face Recognition.

Mathematical Theory of Recursive Symbol Systems. Technical Report GEN-0401. (2004)
Book
(2004). Mathematical Theory of Recursive Symbol Systems. Technical Report GEN-0401

This paper introduces a new type of graph grammar for representing recursively structured two-dimensional geometric patterns, for the purposes of syntactic pattern recognition. The grammars are noise-tolerant, in the sense that they can accommodate p... Read More about Mathematical Theory of Recursive Symbol Systems. Technical Report GEN-0401..

Connectionist learning of regular graph grammars (2001)
Journal Article
Fletcher. (2001). Connectionist learning of regular graph grammars. Connection science, 127 - 188. https://doi.org/10.1080/09540090110072327

This paper presents a new connectionist approach to grammatical inference. Using only positive examples, the algorithm learns regular graph grammars, representing two-dimensional iterative structures drawn on a discrete Cartesian grid. This work is i... Read More about Connectionist learning of regular graph grammars.

Contributions to the theory of correspondences and hyperspaces
Thesis
Berthiaume, G. Contributions to the theory of correspondences and hyperspaces. https://keele-repository.worktribe.com/output/413530

The object of this thesis is to study topological properties of. correspondences, or set-valued mappings, and hyperspaces, i.e, spaces of subsets of given sets.
In chapter 1, we study correspondences under their purely set-theoretical aspect. We int... Read More about Contributions to the theory of correspondences and hyperspaces.

Some theoretical problems related to flows induced in liquid metals by linear motors
Thesis
Rae, I. C. Some theoretical problems related to flows induced in liquid metals by linear motors. https://keele-repository.worktribe.com/output/413646

We obtain results which describe the electromagnetic (EM) field and some aspects of the fluid flow induced in a liquid metal by a linear induction motor. The need for a theoretical description of the motor and its influence arises from recent develop... Read More about Some theoretical problems related to flows induced in liquid metals by linear motors.

Some graphical problems related to score sequences, partial orders and finite topologies
Thesis
Some graphical problems related to score sequences, partial orders and finite topologies. https://keele-repository.worktribe.com/output/414407

This thesis presents a study of some topics and problems of graph theory that are related to partial orders. It is an attempt to develop and utilise the links between score sequences of oriented graphs, different types of partial orders, and combinat... Read More about Some graphical problems related to score sequences, partial orders and finite topologies.

The application of iterative, decomposition and comparison methods to dual extremum principles
Thesis
The application of iterative, decomposition and comparison methods to dual extremum principles. https://keele-repository.worktribe.com/output/415012

ii.is thesis is concerned with dual extremum principles and their applications. Dual extremum principles provide bounds to a functional associated with a given equation, and in some cases this functional is a measure oi a physical quantity. These bou... Read More about The application of iterative, decomposition and comparison methods to dual extremum principles.

A statistical study of lung function and chest cancer data
Thesis
A statistical study of lung function and chest cancer data. https://keele-repository.worktribe.com/output/415019

This thesis consists of an application of different approaches namely numerical and grahical methods, to the analysis of two sets of multivariate medical data, containing qualitative and quantitative variables. the two sets of data are described and... Read More about A statistical study of lung function and chest cancer data.

The kinematics and physical properties for some H II regions to the North-East of NGC 4945**
Presentation / Conference
Van Loon. The kinematics and physical properties for some H II regions to the North-East of NGC 4945**. Presented at 3rd International Scientific Conference of Alkafeel University (ISCKU 2021)

We study the ionized outflows to the North-East of the edge-on spiral galaxy NGC 4945 with the combination of the Fabry-Perot (FP) and long-slit (LS) observations at the South African Large Telescope (SALT). The FP observation was used to analyse Ha... Read More about The kinematics and physical properties for some H II regions to the North-East of NGC 4945**.