Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 467 for “"Department of Mathematics and Applied Mathematics"”.
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A cultural-historical activity theory based analysis of lecturer and student understanding of learning in the Department of Mathematics and Applied Mathematics at the University of Cape Town
… I use that framework to investigate teaching and learning in two first-year university mathematics courses at the University of Cape Town. The focus of this investigation is whether the different subjects of this activity system (i.e. the students and the lecturers) have different conceptions …
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Fitted numerical methods for delay differential equations arising in biology
… Arising in Biology E.B.M. Bashier PhD thesis, Department of Mathematics and Applied Mathematics,Faculty of Natural Sciences, University of the Western Cape. This thesis deals with the design and analysis of tted numerical methods for some delay di erential models that arise in biology. Very …
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Radio Frequency Interference: Simulations for Radio Interferometry Arrays
… around the world. Due to the growth of telecommunications and air travel RFI is increasing exactly when the world's radio telescopes are increasing significantly in sensitivity, making RFI one of the most pressing problems for astronomy in the era of the Square Kilometre Array (SKA). …
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Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems
In this thesis we study the chaotic behavior of multidimensional Hamiltonian systems in the presence of nonlinearity and disorder. It is known that any localized initial excitation in a large enough linear disordered system spreads for a finite amount of time and then halts forever. This phenomenon …
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Machine learning in astronomy
… about the Universe has fueled the collection of data for ever larger volumes of our cosmos. The field of supernova cosmology, for example, is seeing continuous development with upcoming surveys set to produce a vast amount of data that will require new statistical inference and machine …
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A review of the Hubble tension
The Hubble constant H0 is the rate of expansion of the universe today. The discrepancy between the early universe H0 value, inferred using ΛCDM from Planck observations of the CMB, and the late universe H0 value, obtained using luminosity and distance measurements from a Type Ia Supernova (SNIa) …
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On one class of extensions of Lie algebras and the Casimir functions related to it
In chapter 1, we introduce the extensions and cohomologies of Lie algebras, followed by the lemmas of Vhitehcad and finally the Levi-decomposition theorem. In chapter 2, we introduce the "universal" extensions of the Lie algebras as originally given in [l] and classify them up to some point (where …
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Evolution of matter density perturbations in viable f (R) theories of gravity
… ΛCDM model, the late-time accelerated expansion of the Universe is explained via a dark energy fluid in the form of a cosmological constant. Such a cosmological constant dominates the energy budget of the Universe today, and yet, it is still a poorly understood species because it is not observed …
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Two dimensional flow of variable viscosity fluids
Includes abstract. Includes bibliographical references (p. 207-218).
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Wavelet analysis of geomagnetic jerks
… impulses, are abrupt changes in the slope of the first time derivative of the Earth's magnetic field. These changes occur on time scales of the order of a year. It has been demonstrated that the jerks might be more singular than previously supposed; their """"regularity"""" is closer to 1.5 …
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An analysis of frictional effects in non-stationary contact problems for metal forming simulations
… method (FEM) is widely used for the simulation of metal forming processes and has been successfully used in contact problems which arise in processes such as deep-drawing, punching, extrusion and rolling. All these processes involve friction between the contact surfaces: the sheet-metal …
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On the evolution of large-scale structure in a cosmic void
… surveys are expected to pin-down the properties of dark energy significantly more by mapping the cosmic web to unprecedented precision. To take advantage of such state-of-the-art technologies, the evermore accurate modelling of structure formation is absolutely necessary. While relativistic …
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Ascent, descent, nullity and defect of linear operators
This thesis is intended to be a survey of nullity and defect of linear operators on the one hand, and ascent and descent on the other, and the relationships between these concepts. These quantities are of considerable use in the discussion of linear operators, e.g. compact operators.
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Distances in planar graphs
… diameter problem asks for the maximum number of vertices a graph with given maximum degree and diameter can have. The face-degree of a face in plane graph is the length of the shortest closed walk traversing the boundary of the face. A plane graph is ρ-face-degree regular if every face has …
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Self-attention policy architectures for reinforcement learning under partial observability
Intermittent unavailability of sensory signals due to sensor failure and/or latency is a problem encountered in production environments such as in large manufacturing plants, for example. Deep reinforcement learning offers a natural solution for process control and optimisation in such …
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An elementary approach to some aspects of Heegaard Floer homology
… homology is a new invariant for 3-manifolds and links introduced by Ozsvath and Szabo. It counts pseudo-holomorphic Whitney disks in the symmetric product of the Heegaard surface of the underlying manifold. This thesis is about showing the existence of a natural complex structure on the …
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New mathematical models of inert gas transport through biological tissue in hyperbaric environments
… with a fundamental mathematical analysis of inert gas transport through biological tissue at a raised ambient partial pressure. Three basic time-scales of transport in tissue are defined and their relationship examined and compared with existing models, which e.re shown to be usually …
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The pullback closure, perfect morphisms and completions
Closure operations within objects of various categories have played an important role in the development of Categorical Topology. Notably they have been used to characterise epimorphisms and investigate cowellpoweredness in specific categories, to generalise Hausdorff separation through diagonal …
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Zero-set spaces and Pseudocompactness
… in this thesis with the intrinsic properties of zero-set spaces and their relationship to other topological-type structures. Our definition of a z-space coincides with that of Gordon's zero set space without the point separation axiom. It is of interest that C:a11fell also omits this axiom.
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