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Browsing School of Mathematics and Statistics · Te Kura Mātai Tatauranga by Title

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Browsing School of Mathematics and Statistics · Te Kura Mātai Tatauranga by Title

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  • Le Gros, Giovanna (Victoria University of Wellington, 2015)
    The Khovanov homology is a knot invariant which first appeared in Khovanov's original paper of 1999, titled ``a categorification of the Jones polynomial.'' This thesis aims to give an exposition of the Khovanov homology, ...
  • Sherley, Brenda Mary (Victoria University of Wellington, 2011)
    A difference between the beliefs and practices about mathematics learning and teaching held by teachers in kindergartens and teachers in new entrant classrooms may lead to problems as teachers and children manage the ...
  • Paea, Sione (Victoria University of Wellington, 2011)
    This thesis uses the kinetic Monte Carlo (KMC) algorithm to examine the growth morphology and structure of nanocrystals. Crystal growth in a supersaturated gas of atoms and in an undercooled binary melt is investigated. First, ...
  • Abreu, Gabriel (Victoria University of Wellington, 2011)
    General Relativity, while ultimately based on the Einstein equations, also allows one to quantitatively study some aspects of the theory without explicitly solving the Einstein equations. These geometrical notions of ...
  • Semple, Charles A (Victoria University of Wellington, 1998)
    The class of matroids representable over all fields is the class of regular matroids. The class of matroids representable over all fields except perhaps GF(2) is the class of near-regular matroids. Let k be a non-negative ...
  • Kvizhinadze, Giorgi (Victoria University of Wellington, 2010)
    The statistical analysis of a large number of rare events, (LNRE), which can also be called statistical theory of diversity, is the subject of acute interest both in statistical theory and in numerous applications. A careful ...
  • Azzato, Jeffrey Donald (Victoria University of Wellington, 2008)
    It is natural to try to extend the results of Robertson and Seymour's Graph Minors Project to other objects. As linked tree-decompositions (LTDs) of graphs played a key role in the Graph Minors Project, establishing the ...
  • Zhai, Xiaoyu (Victoria University of Wellington, 2013)
    The Global Positioning System (GPS) has become widely used in modern life and most people use GPS to find locations, therefore the accuracy of these locations is very important. In this thesis, we will use Longitude and ...
  • Williams, Alan (Victoria University of Wellington, 2010)
    We show that for any 3-connected matroid M on a ground set of at least four elements such that M does not contain any 4-element fans, and any basis B of M, there exists a set K [is a subset of] E(M) of four distinct elements ...
  • Welsh, Melissa (Victoria University of Wellington, 2012)
    Acute rheumatic fever is a major cause of heart disease in many parts of the world. Though it is generally considered rare in developed countries, is remains a large issue in New Zealand. Of particular concern is the ...
  • Peach, Elijah (Victoria University of Wellington, 2019)
    Herein contained is an exploration into mathematical modelling pertaining to blood flow in arteries. Previous models are considered as well as a new model derived. Some properties of these new models are investigated. They ...
  • Li, Qian (Victoria University of Wellington, 2019)
    In this thesis we study model equations that describe the propagation of pulsatile flow in elastic vessels. Since dealing with the Navier-Stokes equations is a very difficult task, we derive new asymptotic weakly non-linear ...
  • Snook, Michael (Victoria University of Wellington, 2013)
    The node deletion problem on graphs is: given a graph and integer k, can we delete no more than k vertices to obtain a graph that satisfies some property π. Yannakakis showed that this problem is NP-complete for an ...
  • Prideaux, Kadin (Victoria University of Wellington, 2016)
    Matroids have a wide variety of distinct, cryptomorphic axiom systems that are capable of defining them. A common feature of these is that they are able to be efficiently tested, certifying whether a given input complies ...
  • Miller, Joel (Victoria University of Wellington, 2014)
    In this thesis, we analyse the matroids which have the property that every pair of elements belongs to both a 4-circuit and a 4-cocircuit. In particular, we show that if a matroid with this property has at least 13 elements, ...
  • Arthur, Katie (Victoria University of Wellington, 2016)
    In [4], Downey and Greenberg define the notion of totally ⍺-c.a. for appropriately small ordinals ⍺, and discuss the hierarchy this notion begets on the Turing degrees. The hierarchy is of particular interest because it ...
  • Walsh, Ernestynne (Victoria University of Wellington, 2012)
    Seismic shear waves emitted by earthquakes can be modelled as plane (transverse) waves. When entering an anisotropic medium they can be split into two orthogonal components moving at different speeds. This splitting ...
  • Makarios, Timothy James McKenzie (Victoria University of Wellington, 2012)
    This thesis describes the mechanization of Tarski's axioms of plane geometry in the proof verification program Isabelle. The real Cartesian plane is mechanically verified to be a model of Tarski's axioms, thus verifying ...
  • Fernández Martínez, Daniel (Victoria University of Wellington, 2015)
    Many of the methods which deal with the reduction of dimensionality in matrices of data are based on mathematical techniques. In general, it is not possible to use statistical inferences or select the appropriateness of a ...
  • Friggens, David (Victoria University of Wellington, 2004)
    The abstract mathematical structures known as coalgebras are of increasing interest in computer science for their use in modelling certain types of data structures and programs. Traditional algebraic methods describe objects ...

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