## Search

Now showing items 101-109 of 109

#### Developing a hidden Markov model for assessing the health of preterm babies

(University of Canterbury. Mathematics and Statistics, 2006)

Premature babies, because of their underdeveloped biological systems, often display cardiorespiratory instabilities. Yet, at the same time, many paediatric illnesses also affect cardiorespiratory functions. For a certain ...

#### 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) ...

#### Pollard's rho-algorithm, and its applications to elliptic curve cryptography

(University of Canterbury. Mathematics and Statistics, 2007)

This project aims to describe Pollard's rho-Algorithm for solving the Discrete Logarithm Problem in a group, and to look at how this algorithm applies to Elliptic Curve Cryptography. We start with a general definition of ...

#### Fibonacci numbers and some applications to digital image scrambling

(University of Canterbury. Mathematics and Statistics, 2007)

An analysis of some recently proposed methods of digital image scrambling that use Fibonacci numbers. This report describes the mathematics required to understand why these methods work.

#### 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 ...

#### Hybridization networks

(University of Canterbury. Dept. of Mathematics, 2006)

Reticulate evolution is a fundamental process in the evolution of certain groups of taxa. Consequently, conflicting signals in a data set may not be the result of sampling or modelling errors, but due to the fact that ...

#### Modelling populations with a case study on orange roughy in New Zealand

(University of Canterbury. Mathematics and Statistics, 2005)

The dynamics of mathematical models used for modelling populations will be investigated. Mathematical models have many applications, these will be mentioned throughout the paper. Mathematical models are particularly useful ...

#### A Comparison of BWT Approaches to Compressed-Domain Pattern Matching

(University of Canterbury. Mathematics and Statistics, 2002)

A number of algorithms have recently been developed to search files compressed with the Burrows-Wheeler Transform (BWT) without the need for full decompression first. This allows the storage requirement of data to be reduced ...

#### On an inverse problem from magnetic resonance elastic imaging

(University of Canterbury. Dept. of Mathematics, 2006)

The imaging problem of elastography is an inverse problem. The nature of an inverse problem is that it is illconditioned. We consider properties of the mathematical map which describes how the elastic properties of the ...