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Now showing items 11-20 of 73

#### Global optimization: theory versus practice

(University of Canterbury. Mathematics, 1997)

This thesis looks at some theoretical and practical aspects of global optimization - as we shall see they do not always coincide.
Chapter 1 defines the global optimization problem, discusses applications, concluding there ...

#### Specializations of generalized Drinfel'd-Sokolov hierarchies

(University of Canterbury. Mathematics, 1996)

The primary objective of this work is to extend the existing body of research on specializations of Drinfel'd-Sokolov hierarchies of partial differential equations and to provide some examples thereof.
The hitherto ...

#### Empirical Bayes with a changing prior

(University of Canterbury. Mathematics, 1979)

This thesis examines a modified empirical Bayes decision problem in which the a priori distribution is assumed to change with each successive component problem. Firstly, the usual empirical Bayes problem and associated ...

#### Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group

(University of Canterbury. Mathematics and Statistics, 2012)

Let G be a reductive algebraic group defined over an algebraically closed field of characteristic p. A subgroup H of G is called G-complete reducible whenever H is contained in a parabolic subgroup P of G, it is contained ...

#### Recognising two planar objects under a projective transformation

(University of Canterbury. Mathematics and Statistics, 2001)

This thesis involves solving problems associated with object recognition
for two dimensional images under a projective transformation.
In order to recognise an object under any viewing angle requires invariant
features ...

#### Aspects of Matroid Connectivity

(University of Canterbury. School of Mathematics and Statistics, 2014)

Connectivity is a fundamental tool for matroid theorists, which has become increasingly important in the eventual solution of many problems in matroid theory. Loosely speaking, connectivity can be used to help describe a ...

#### Existence theorems for floorplans

(University of Canterbury. Mathematics, 1987)

The existence of floorplans with given areas and adjacencies for the rooms cannot always be guaranteed. Rectangular, isometric and convex floorplans are considered. For each, the areas of the rooms and a graph representing ...

#### On Reductive Subgroups of Algebraic Groups and a Question of Külshammer

(University of Canterbury. Mathematics and Statistics, 2013)

This Thesis is motivated by two problems, each concerning representations (homomorphisms)
of groups into a connected reductive algebraic group G over an algebraically
closed field k. The first problem is due to B. ...

#### Mathematical Modelling of Cancer Cell Population Dynamics

(University of Canterbury. Mathematics and Statistics, 2012)

Mathematical models, that depict the dynamics of a cancer cell population growing out of the human body (in vitro) in unconstrained microenvironment conditions, are considered in this thesis. Cancer cells in vitro grow and ...

#### Type D spaces and quasi-diagonalizability

(University of Canterbury. Mathematics, 1976)

The coordinate system of Kerr and Debney is used to find the empty Type D metrics with a diverging principal null vector. These spaces are shown to be precisely that subclass of the diverging, empty, algebraically special ...