Browsing Doctoral Degrees (Mathematical Sciences) by Title
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A topological framework for modeling belief revision
(Stellenbosch : University of Stellenbosch, 201012)ENGLISH ABSTRACT: Classical formulations model belief revision as a deterministic process. Under certain circumstances, the process may have more than one outcome, which suggests that belief revision is nondeterministi ... 
Torsion bounds for Drinfeld modules with complex multiplication
(Stellenbosch : Stellenbosch University., 202004)ENGLISH ABSTRACT: The main objective of the present thesis is to prove an analogue for Drinfeld modules of a theorem due to Clark and Pollack. The cardinality of the group of Krational torsion points of an elliptic curve ... 
Two new combinatorial problems involving dominating sets for lottery schemes
(Stellenbosch : University of Stellenbosch, 200412)Suppose a lottery scheme consists of randomly selecting an unordered winning nsubset from a universal set of m numbers, while a player participates in the scheme by purchasing a playing set of any number of unordered ... 
A videobased traffic monitoring system
(Stellenbosch : University of Stellenbosch, 200612)This thesis addresses the problem of bulding a videobased traffic monitoring system. We employ clustering, trackiing and threedimensional reconstruction of moving objects over a long image sequence. We present an ... 
Weighted centrality, and a further approach to categorical commutativity
(Stellenbosch : Stellenbosch University, 201912)ENGLISH ABSTRACT: We investigate weighted commutators, that is, weighted subobject commutator and weighted normal commutator, as well as commutators in the sense of Huq, Higgins, Ursini and Smith, which are all special ...