## Search

Now showing items 1-10 of 109

#### Identifying phylogenetic trees

(University of Canterbury, 2004)

A central problem that arises in evolutionary biology is that of displaying partitions of subsets of a finite set X on a tree whose vertices are partially labelled with the elements of X. Such a tree is called an X-tree ...

#### Grover's quantum algorithm applied to global optimisation

(University of Canterbury. Dept. of Mathematics and Statistics, 2004)

Grover's quantum computational search procedure can provide the basis for implementing
adaptive global optimisation algorithms. A brief overview of the procedure is given and a
framework called Grover Adaptive Search is ...

#### The application of regression trees to detecting multiple structural breaks in the mean of a time series

(University of Canterbury. Dept. of Mathematics and Statistics., 2007)

A non parametric approach is proposed for dating structural breaks whose number and dates of occurrence are a priori unknown. In particular, the case of
level shifts is considered. For the purpose of locating the breakdates ...

#### 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 ...

#### Generalised linear mixed models and its application in R

(University of Canterbury, 2009)

Through the benefits of mixed modeling over the usual fixed effects modeling, certain data sets
can be better understood. Repeated measures data is especially well suited to mixed models. The
repeated measures can be ...

#### 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 ...

#### Fast evaluation of radial basis functions : methods for four-dimensional polyharmonic splines

(University of Canterbury. Department of Mathematics & Statistics, 2000)

As is now well known for some basic functions ϕ, hierarchical and fast multipole like
methods can greatly reduce the storage and operation counts for fitting and evaluating radial
basis functions. In particular for spline ...

#### Uniform diagonalisation of matrices over regular rings

(University of Canterbury. Dept. of Mathematics and Statistics, 2000)

The fundamental Separativity Problem for vorrNeumann regular rings is shown
to be equivalent to a linear algebra problem: for a field F, is there a "uniform formula"
for diagonalising a 2 x 2 matrix A over Mn(F), ...

#### Statistics for environmental monitoring

(University of Canterbury. Dept. of Mathematics and Statistics, 2002)

Environmental studies can be broadly categorised as either:
i) Observational experiments, or
ii) Manipulative experiments.
An observational experiment is one where the data is collected by observing some existing
process ...

#### Phylogenetic signal, phase translations and limits to resolving deep divergences

(University of Canterbury, 2004)

In this chapter we review some recent results that shed light on a fundamental question in
molecular systematics: how much phylogenetic 'signal' can we expect from characters that have
evolved under some Markov process? ...