Mathematics & Statistics Theses: Recent submissions
Now showing items 6-10 of 179
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Solar cycle variation of photospheric and chromospheric magnetic and ultraviolet emission features observed by the Solar Dynamics Observatory
(2022-11-29) - ThesisThe solar magnetic field exhibits cyclic behaviour over a period of 22 years, continually reprocessing the poloidal, dipolar magnetic field into toroidal, quadrupolar magnetic field and vice versa. The cyclic behaviour of ... -
Limit sets, Julia sets and Sullivan’s dictionary : a dimension theoretic analysis
(2023-06-13) - ThesisThis thesis includes work from four papers that were written during the author’s time as a PhD student with Jonathan Fraser, namely [40, 41, 42, 43]. Chapter 1 introduces the two main settings that will be studied ... -
Computer-assisted proofs and the F[super](a,b,c) conjecture
(University of St Andrews, 2006) - ThesisThis thesis studies finitely presented groups and the process known as coset enumeration, which finds the index of a finitely generated subgroup in a finitely presented group, provided this index is finite. The Todd-Coxeter ... -
Generation and presentations of semigroup constructions : Bruck-Reilly extensions and P-semigroups
(University of St Andrews, 2006) - ThesisIn this thesis we study problems regarding finite presentability of Bruck-Reilly extensions, finite generation of the underlying monoids, and finite generation of P-unitary inverse semigroups. The first main question we ... -
Quasi-Newton methods for unconstrained function minimization and the solution of systems of nonlinear equations
(University of St Andrews, 1974) - ThesisThis thesis is concerned with the unconstrained minimization of a function of n variables, and, to a lesser extent, with the numerical solution of systems of nonlinear equations. The first chapter contains an account of ...