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Now showing items 1-8 of 8

#### Chaos from simplicity : an introduction to the double pendulum

(University of Canterbury, 2008)

The fusion of two pendulums give rise to a simple mechanical system that on contrary to its deceptively
simple appearances exhibit extremely unpredictable and complex behaviour. The equations of motion
for the simple ...

#### Visualizing coalescent theory

(University of Canterbury. Mathematics and Statistics, 2008)

Coalescent theory is a field of statistical genetics that can offer insight to molecular evolutionary biologists. In order to apply Coalescent Theory in their field studies, biologists must understand the coalescent models. ...

#### Non-linear dynamics

(University of Canterbury. Mathematics and Statistics, 2008)

Non-linear dynamics are a vast and complex field, relevant to many scientific disciplines. How systems change within parameter space is fundamental to understanding much real world phenomena, often revealing behaviour more ...

#### A cluster reduction for computing the subtree distance between phylogenies

(University of Canterbury, 2008)

Calculating the rooted subtree prune and regraft (rSPR) distance
between two rooted binary phylogenetic trees is a frequently applied process in
various areas of molecular evolution. However, computing this distance is ...

#### Hybridization in non-binary trees

(University of Canterbury, 2008)

Reticulate evolution-the umbrella term for processes like hybridization,
horizontal gene transfer, and recombination-plays an important
role in the history of life of many species. Although the occurrence of such
events ...

#### Dimensional analysis

(University of Canterbury. Mathematics and Statistics, 2008)

The Π-theorem was proved and dimensional analysis was used to derive basic formulae for various physical phenomena. Dimensional analysis was used to non-dimensionalize equations leading to the appearance of key dimensionless ...

#### Losing Lotto, a mathematical approach

(University of Canterbury. Mathematics and Statistics, 2008)

An (n, k, p, t) lotto design is a set of k sets (called blocks) of an n set such that any p set intersects at least one block in at least t points. We will denote the minimal number of blocks needed to make an (n, k,p, t) ...

#### The effects of network structure and geography on the spread of epidemics in finite populations

(University of Canterbury. Mathematics and Statistics, 2008)

In this paper we create a new model of disease transmission that combines a branching process from epidemiology with a geographic network structure. We present two versions of this geographic network model, the first is a ...