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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 ...
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, ...
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 ...