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Now showing items 21-30 of 73

#### Sangaku: A Mathematical, Artistic, Religious, and Diagrammatic Examination

(University of Canterbury, 2016)

Between the 17th and 19th centuries, mathematically orientated votive tablets appeared
in Shinto shrines and Buddhist temples all over Japan. Known as sangaku, they contained
problems of a largely geometrical nature.
The ...

#### Topics in Lipschitz global optimisation

(University of Canterbury. Mathematics and Statistics, 1995)

The global optimisation problem has received much attention in the past twenty-five years. The problem is to find an algorithm which will locate the overall, or global, optimum of a function. It can be viewed as a computer-age ...

#### Embeddable Spherical Circle Planes

(University of Canterbury. Mathematics and Statistics, 2009)

Spherical circle planes are topological incidence geometries; one has a 2-
sphere P and a collection of 1-spheres in P such that any three points in P determine
exactly one of these 1-spheres (the ‘circles’ of the spherical ...

#### Maximal quotient rings of prime nonsingular group algebras

(University of Canterbury. Mathematics, 1977)

Recent work by Goodearl and Handelman has shown that a prime, regular, right self-injective ring Q must be precisely one of the following: (a) a full linear ring (being either simple Artinian; or infinite dimensional full ...

#### Spatial moment models for collective cell behaviour

(University of Canterbury, 2016)

The ability of cells to undergo collective movement plays a fundamental role in tissue
repair, development and cancer. Interactions occurring at the level of individual cells may
give rise to spatial structure, such as ...

#### Combinatorial Aspects of Leaf-Labelled Trees

(University of Canterbury. Mathematics and Statistics, 2008)

Leaf-labelled trees are used commonly in computational biology and in other disciplines, to depict the ancestral relationships and present-day similarities between both extant and extinct species. Studying these trees from ...

#### The web and the tree : on the interplay between ecological processes and evolutionary histories.

(University of Canterbury, 2016)

In this thesis, we introduce and explore a mathematical framework in which to
study the evolution of and within ecological networks. Hence, we focus on a peculiar
interpretation of the “biodiversity” concept, namely one ...

#### Miura transformations and symmetry groups of differential equations

(University of Canterbury. Mathematics, 1993)

The main aim of this work is to develop a generalization of the Miura transformation based on symmetry groups of differential equations. Some applications of the resulting transformations are presented.
The central idea ...

#### Modelling spiral waves in Xenopus laevis oocyte

(University of Canterbury. Mathematics and Statistics, 1997)

An investigation was made into the spiral waves solutions for the Atri et al model, a partial differential equation model for Ca²⁺ dynamics in the Xenopus laevis oocyte. Spiral wave solutions, both stable and unstable, ...

#### Fast algorithms and preconditioning techniques for fitting radial basis functions.

(University of Canterbury. Mathematics and Statistics, 2001)

Radial basis functions are excellent interpolators for scattered data in Rd. Previously the use of RBFs had been restricted to small or medium sized data sets due to the high computational cost of solving the interpolation ...