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Torsion bounds for Drinfeld modules with complex multiplication
(Stellenbosch : Stellenbosch University., 2020-04)
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 K-rational torsion points of an elliptic curve ...
Comparison of old and new algorithms for s,t -network reliability
(Stellenbosch : Stellenbosch University., 2020-04)
ENGLISH ABSTRACT: Network reliability is the probability of an operative path connecting the
source s with the terminal t. s, t-network reliability problems have been
proven to be #P-complete. In this thesis we present ...
Calibrating a stochastic SIR-model to simulated data using different calibration methods : a tutorial & comparison of methods
(Stellenbosch : Stellenbosch University., 2020-04)
ENGLISH ABSTRACT: Mathematical models have helped researchers identify and quantify trends in observed
data, which is especially useful in the field of epidemiology. Fitting models to data enhances
the credibility of ...
A simple ecological model captures the transmission pattern of COVID-19 outbreak in China
(BioMed Central, 2020)
Background The rapid spread of the 2019 novel coronavirus disease (COVID-19), initially reported in the city of
Wuhan in China, and quickly transmitted to the entire nation and beyond, has become an international ...
Predicting water quality variables
(Stellenbosch : Stellenbosch University., 2020-03)
ENGLISH ABSTRACT: Water is an important substance for all of life, and can be used in domestic, agricultural and industrial activities. Water quality determines the usefulness of water for particular purposes, ...
Defining and assessing the spectrum of tuberculosis (TB) disease: application to diagnosis and prognosis
(Stellenbosch : Stellenbosch University, 2020-12)
ENGLISH ABSTRACT: Although Tuberculosis (TB) has been a topic of investigation for centuries, a
satisfactory method of identifying patients with clinically active TB is yet to
be discovered. This has two important negative ...
On contributions to the theory of near-vector spaces and graphs thereof
(Stellenbosch : Stellenbosch University, 2020-12)
ENGLISH ABSTRACT: In this thesis, our aim is to add to the existing body of work on near-vector spaces and
their representation using graphs. We introduce two new graphs for constructions of nearvector
spaces using finite ...
The geometry of the moduli space of biquadratic field extensions
(Stellenbosch : Stellenbosch University, 2020-12)
ENGLISH ABSTRACT: Mathematicians are always interested in understanding mathematical objects from
different angles, This makes the task of classifying mathematical objects useful, as it
permits one to study a mathematical ...
Impact of COVID-19 pandemic on mobility in ten countries and associated perceived risk for all transport modes
(PLOS, 2021-02-01)
The restrictive measures implemented in response to the COVID-19 pandemic have triggered sudden massive changes to travel behaviors of people all around the world. This study examines the individual mobility patterns for ...
Formalizing auctions
(Stellenbosch : Stellenbosch University, 2020-12)
ENGLISH ABSTRACT: Auctions have proven to be an efficient economical instrument over the years.
Since the advent of internet-based commerce, some of their many forms have
become important. To avoid problems related to ...