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Now showing items 41-50 of 50
Topogenous structures on categories
(University of the Western Cape, 2016)
Although the interior operators correspond to a special class of neighbourhood operators,
the closure operators are not nicely related to the latter. We introduce and study the
notion of topogenous orders on a category ...
Model theory of algebraically closed fields and the Ax-Grothendieck Theorem
(University of Western Cape, 2020)
We introduce the concept of an algebraically closed field with emphasis of the basic model-theoretic
results concerning the theory of algebraically closed fields. One of these nice results about algebraically
closed ...
The impact of using technology through cooperative learning on learners’ performance on grade 11 circle geometry
(University of the Western Cape, 2019-11)
Euclidean geometry was recently re-introduced as a compulsory topic in the Mathematics
Curriculum for learners in the Further Education and Training (FET) band in 2012. The
diagnostic analysis reports on the National ...
Estimating the cost of deposit insurance for a commercial bank following an optimal investment strategy
(University of Western Cape, 2020)
Commercial banks play a dominant role in facilitating the economic growth of a country by acting
as an intermediary between the de cit spending unit (borrowers) and the surplus spending
unit (lenders). In particular, ...
Boundedness and pseudocompactness in pointfree topology
(University of Western Cape, 2019)
This dissertation is a presentation to generalize boundedness and pseudocompactness
in pointfree topology. We rst obtain and introduce a boundedness
notion for elements of a frame. This is then further inspiration to ...
On the numerical integration of singularly perturbed Volterra integro-differential equations
(University of the Western Cape, 2017)
Efficient numerical approaches for parameter dependent problems have been an inter-
esting subject to numerical analysts and engineers over the past decades. This is due
to the prominent role that these problems play in ...
The paradox of enrichment in predator-prey systems
(University of Western Cape, 2020)
In principle, an enrichment of resources in predator-prey systems show prompts
destabilisation of a framework, accordingly, falling trophic communication, a phenomenon
known to as the \Paradox of Enrichment" [54]. After ...
Ultrafilters and Compactification
(UWC, 2020)
In this thesis, we construct the ultrafilter space of a topological space using ultrafilters as points, study some of its properties and describe a method of generating compactifications through the ultrafilter space. As ...
Codes, graphs and designs related to iterated line graphs of complete graphs
(University of the Western Cape, 2011)
In this thesis, we describe linear codes over prime fields obtained from incidence
designs of iterated line graphs of complete graphs Li(Kn) where
i = 1,2. In the binary case, results are extended to codes from ...
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, ...