Now showing items 1-20 of 52

  • Affect and Identity: The Mathematical Journeys of Adolescents 

    Ingram, Naomi
    This research captured the mathematical journeys of 31 New Zealand students over two years of their adolescence. The research framework combined a conceptualisation of identities with the notion in the affective domain of ...
  • Analogues of Leavitt path algebras for higher-rank graphs 

    Pangalela, Yosafat Eka Prasetya
    Directed graphs and their higher-rank analogues provide an intuitive framework to study a class of C*-algebras which we call graph algebras. The theory of graph algebras has been developed by a number of researchers and ...
  • Analysis of images of ice floes 

    Liddell, Gerard
    This talk will address the problem of determining the semi-rigid motion of an ice floe from a series of grayscale images of the floe. The analysis will start with the global properties of the images. The next step is to ...
  • Asymptotics of solutions in evolutionary formulations of the Einstein constraint equations. 

    Ritchie, Joshua
    Performing a 2+1 split of an initial data set allows one to formulate the Einstein constraint equations as an initial value problem. There are two possible sets of equations that can arise here, the parabolic-hyperbolic ...
  • Bayesian analysis of oncogenic pathway activation 

    Bryant, Aaron Ian
    Through the use of microarray technology researchers are now able to si- multaneously measure the expression levels of tens of thousands of genes. Amoung other things, this allows the construction of profiles of activation ...
  • The behaviour of sea ice in ocean waves 

    Meylan, Michael
    The entry of ocean waves from the open sea into pack ice is a feature of the marginal ice zone which has important consequences for navigation and the construction of offshore structures in ice-infested seas. In turn it ...
  • C*-algebras generated by semigroups of partial isometries 

    Tolich, Ilija
    This thesis examines the C*-algebras associated to semigroups of partial isometries. There are many interesting examples of C*-algebras generated by families of partial isometries, for example the C*-algebras associated ...
  • Contemporary wave–ice interaction models 

    Mosig, Johannes Ernst Manfred
    Sea ice is an important indicator and agent of changes in the global climate system. The ice is affected by waves that travel into the Marginal Ice Zone (MIZ) and cause floes to raft, deform and, potentially, fracture. The ...
  • The Development of Number Sense and Mental Computation Proficiencies: An Intervention Study with Secondary One Students in Brunei Darussalam 

    Veloo, Palanisamy Kowndar
    This thesis reports on the development of number sense and mental computation proficiencies and their relationship to selected affective variables of Secondary 1 students, following an instructional intervention that lasted ...
  • Effect of chemokine superdiffusion on leucocyte chemotaxis 

    Jalilzadeh, Aidin
    Chemotaxis is the major cytotaxic mechanism that leads the movement of phagocytes in the tissue towards the harmful agents. Loss of phagocytes ability to track and respond to danger signals can lead to chronic infections, ...
  • The efficiency of adaptive cluster sampling 

    Brown, Jennifer A.
    Adaptive cluster sampling has been suggested as an efficient sampling technique for rare and patchy populations. In this thesis the question asked is: how useful is the design for ecologists? Simulated and real ecological ...
  • Environmental stochasticity and density dependence in animal population models 

    Samaranayaka, Ariyapala Hattasinge (Ari)
    Biological management of populations plays an indispensable role in all areas of population biology. In deciding between possible management options, one of the most important pieces of information required by population ...
  • Equilibrium States on Toeplitz Algebras 

    Afsar, Zahra
    This thesis describes the equilibrium states (the KMS states) of dynamical systems arising from local homeomorphisms. It has two main components. First, we consider a local homeomorphism on a compact space and the ...
  • Estimating Overdispersion in Sparse Multinomial Data 

    Afroz, Farzana
    The phenomenon of overdispersion arises when the data are more variable than we expect from the fitted model. This issue often arises when fitting a Poisson or a binomial model. When overdispersion is present, ignoring it ...
  • Features of written proofs from New Zealand IMO students 

    Norrish, Jordana Susan Lea
    This research investigated the linguistic features of written mathematical proofs, and partial proofs, from a small group of secondary school mathematics students in New Zealand. The linguistic features included are ...
  • Flat Embeddings of Genetic and Distance Data 

    Balvočiūtė, Monika
    The idea of displaying data in the plane is very attractive in many different fields of research. This thesis will focus on distance-based phylogenetics and multidimensional scaling (MDS). Both types of method can be viewed ...
  • Focussed Model Averaging in Generalised Linear Models 

    Hong, Chuen Yen
    Model averaging is often used to allow for uncertainty in the model selection process. In the frequentist setting, a model-averaged point estimate is the weighted mean of the estimates from each of the candidate models. ...
  • Frequentist Model-Averaged Confidence Intervals 

    Turek, Daniel Bernard
    Model averaging is a technique used to account for model uncertainty in the process of multimodel inference. A frequentist model-averaged estimator is defined as a weighted average of the single-model estimates resulting ...
  • Grünwald-type approximations and boundary conditions for one-sided fractional derivative operators 

    Sankaranarayanan, Harish
    The focus of this thesis is two-fold. The first part investigates higher order numerical schemes for one-dimensional fractional-in-space partial differential equations in 𝐿₁(ℝ). The approximations for the (space) fractional ...
  • Incorporating Genotype Uncertainty Into Mark-Recapture-Type Models For Estimating Abundance Using DNA Samples 

    Wright, Janine Anne
    The use of non-invasive genetic samples to identify individual animals is becoming increasingly common in wildlife studies. Sampling DNA non-invasively (often from hair or faeces) has advantages for identifying animals for ...