Browsing Mathematics & Statistics Theses by Title
Now showing items 120 of 162

Adaptive distance sampling
(University of St Andrews, 2002)  ThesisWe investigate mechanisms to improve efficiency for line and point transect surveys of clustered populations by combining the distance methods with adaptive sampling. In adaptive sampling, survey effort is increased when ... 
Alfvén waves in lowmass starforming regions
(University of St Andrews, 1999)  ThesisLowmass starforming regions have a lifetime which is greater than their dynamical time and must therefore be, in an average sense, in mechanical equilibrium. The work presented here proposes that an equilibrium exists ... 
An algebraic formulation of asmptotically separable quantum mechanics
(University of St Andrews, 1984)  ThesisThis thesis explores the possibility of an algebraic formulation of nonrelativistic quantum theory in which certain paradoxes associated with nonlocality may be resolved. It is shown that the localisation of a free quantum ... 
Algorithms for subgroup presentations: computer implementation and applications
(University of St Andrews, 1991)  ThesisOne of the main algorithms of computational group theory is the ToddCoxeter coset enumeration algorithm, which provides a systematic method for finding the index of a subgroup of a finitely presented group. This has been ... 
Alternating direction implicit methods for partial differential equations
(University of St Andrews, 1966)  Thesis 
Alternating direction methods for hyperbolic systems
(University of St Andrews, 1966)  Thesis 
Application of the ToddCoxeter coset enumeration algorithm
(University of St Andrews, 1975)  ThesisThis thesis is concerned with a topic in combinatorial group theory and, in particular, with a study of some groups with finite presentations. After preliminary definitions and theorems we describe the ToddCoxeter coset ... 
Approximate methods in high speed flow
(University of St Andrews, 1962)  ThesisIn many problems arising in the theory of compressible flow, the equations characterising the solution of the system are so intractable that recourse must be made to some approximate method which allows the essential ... 
The Arabic translation of Theodosius's Sphaerica
(University of St Andrews, 1975)  ThesisThe thesis "The Arabic Translation of Theodosius's Sphaerica" is an edition of the Istanbul manuscript Topkapi Seray Ahmet III 3464.2. Included is a comparative apparatus of the Greek and Arabic texts showing possible ... 
Aspects of current sheet theory
(University of St Andrews, 1977)  ThesisCurrent sheets are widely believed to play an important role in astrophysics when regions of magnetic flux are in motion. Several models based on the formation of current sheets have been proposed to explain such phenomena ... 
Aspects of magnetic field theory in solar and laboratory plasmas
(University of St Andrews, 1990)  ThesisUsing the Magnetohydrodynamic model, two problems in the behaviour of magnetic field structures are investigated. Firstly, the stability of tokamak equilibria to coupled tearing modes is calculated. Secondly, the equilibrium ... 
Aspects of MHD wave propagation in solar atmospheric studies
(University of St Andrews, 1998)  ThesisThe theme of this thesis is ideal linear MHD wave propagation in structured media, using models relevant to structures in the solar atmosphere. We derive dispersion relations governing the ideal linear MHD modes for ... 
Aspects of natural convention and of nonlinear hydridynamic stability
(University of St Andrews, 1974)  ThesisIn Part I of this thesis, steady and timedependent, naturalconvection similarity flows with mass transfer are discussed. Similarity flows for natural convection on families of twodimensional bodies with closed lower ... 
Aspects of solar coronal stability theory
(University of St Andrews, 1991)  ThesisSolar coronal stability theory is a powerful tool for understanding the complex behaviour of the Sun's atmosphere. It enables one to discover the driving forces behind some intriguing phenomena and to gauge the soundness ... 
Aspects of the MHD stability of coronal and laboratory plasmas
(University of St Andrews, 1993)  ThesisThe magnetohydrodynamic (MHD) model is a simple mathematical model that treats a plasma as a perfectly conducting fluid acted upon by magnetic and pressuredriven forces. Many instabilities in plasmas can be predicted using ... 
The asymptotic distribution and robustness of the likelihood ratio and score test statistics
(University of St Andrews, 1995)  ThesisCordeiro & Ferrari (1991) use the asymptotic expansion of Harris (1985) for the moment generating function of the score statistic to produce a generalization of Bartlett adjustment for application to the score statistic. ... 
Automated theorem proving for mathematics : real analysis in PVS
(University of St Andrews, 2002)  ThesisComputer Algebra Systems (CASs), such as Maple and Mathematica, are now widely used in both industry and education. In many areas of mathematics they perform well. However, many wellestablished methods in mathematics, ... 
Automatic Sacts and inverse semigroup presentations
(University of St Andrews, 2005)  ThesisTo provide a general framework for the theory of automatic groups and semigroups, we introduce the notion of an automatic semigroup act. This notion gives rise to a variety of definitions for automaticity depending on the ... 
Automatic semigroups : constructions and subsemigroups
(University of St Andrews, 2002)  ThesisIn this thesis we start by considering conditions under which some standard semigroup constructions preserve automaticity. We first consider Rees matrix semigroups over a semigroup, which we call the base, and work on the ... 
Basic magnetic field configurations for solar filament channels and filaments
(University of St Andrews, 1997)  ThesisThe threedimensional magnetic structure of solar filament channels and filaments is considered. A simple analytical potential model of a filament channel is setup with line sources representing the overlying arcades and ...