Now showing items 33-52 of 151

    • Embeddings of flag manifolds and cohomological components of modules 

      Tsanov, Valdemar Vasilev (2011-08-23)
      This thesis is a study in Representation Theory and Geometry. These two branches of mathematics have a fruitful interaction, with many applications to Physics and other sciences. Central objects of interest are homogeneous ...
    • Energy-preserving affine connections 

      Lewis, Andrew D. (1997)
      A Riemannian affine connection on a Riemannian manifold has the property that is preserves the ``kinetic energy'' associated with the metric. However, there are other affine connections which have this property, and ...
    • Error-Resilient Tile Sets for DNA Self-Assembly 

      Meng, Ya (2009-08-25)
      Experiments have demonstrated that DNA molecules can compute like a machine to solve mathematical problems, which is significant because of their parallel computation ability. However, due to the nature of biochemical ...
    • The evolution of mimicry in parasites 

      Hurford, Amy Louise (2011-04-06)
      Parasites may express proteins that mimic host proteins such that the host immune system cannot discriminate between host and parasite. An immune response to host proteins results in autoimmunity, and therefore, mechanisms ...
    • Evolutionarily Stable Learning and Foraging Strategies 

      Cownden, Daniel (2012-02-01)
      This thesis examines a series of problems with the goal of better understanding the fundamental dilemma of whether to invest effort in obtaining information that may lead to better opportunities in the future versus ...
    • Evolvability and Pleiotropic Constraint 

      Rowe, Taylor
      Evolvability is a population's ability to change its underlying genetic makeup through natural selection, to evolve. Most measures of short-term evolvability relate genetic change to the abundance and geometry of standing ...
    • An example with interesting controllability and stabilisation properties 

      Hirschorn, Ron M.; Lewis, Andrew D. (2005)
      A simple three-state system with two inputs is considered. The system's controllability is determined using properties of vector-valued quadratic forms. The quadratic structure is then used as the basis for the design of ...
    • Exploring the Evolutionary Relationship Between Virulence and Drug Resistance 

      van den Hoogen, Josée
      One of the many possible negative outcomes of pathogen evolution is the emergence of a virulent drug resistant strain. A pathogen may exploit plasmid-mediated gene transfer to gain drug resistance and virulence genes in ...
    • Feedback Stabilisation of Locally Controllable Systems 

      Isaiah, Pantelis (2012-09-25)
      Controllability and stabilisability are two fundamental properties of control systems and it is intuitively appealing to conjecture that the former should imply the latter; especially so when the state of a control system ...
    • Filter Stability, Observability and Robustness for Partially Observed Stochastic Dynamical Systems 

      Mcdonald, Curtis
      Filter stability refers to the correction of an incorrectly initialized filter for a partially observed stochastic dynamical system with increasing measurements. In this thesis, we study the filter stability problem, develop ...
    • Forecasting and Non-Stationarity of Surgical Demand Time Series 

      Moore, Ian (2014-02-04)
      Surgical scheduling is complicated by naturally occurring, and human-induced variability in the demand for surgical services. We used time series methods to detect, model and forecast these behaviors in surgical demand ...
    • A Framework for the Meta-Analysis of Survey Data 

      Fox, Karla Michelle Phillips Cooper (2011-12-06)
      The research outlined in this thesis covers various different statistical issues relating to meta-analysis of survey data. These issues include the creation of an original comprehensive methodological framework for combining ...
    • Generalization of Ruderman's Problem to Imaginary Quadratic Fields 

      Rundle, Robert John (2012-04-13)
      In 1974, H. Ruderman posed the following question: If $(2^m-2^n)|(3^m-3^n)$, then does it follow that $(2^m-2^n)|(x^m-x^n)$ for every integer $x$? This problem is still open. However, in 2011, M. R. Murty and V. K. Murty ...
    • Geodesic reduction via frame bundle geometry 

      Bhand, Ajit (2007-07-25)
      Reduction theory for systems with symmetry deals with the problem of understanding dynamics on a manifold with an action of a Lie group. In geometric mechanics, this problem can be formulated in the Lagrangian, Hamiltonian ...
    • A Geometric Approach to Energy Shaping 

      Gharesifard, Bahman (2009-09-02)
      In this thesis is initiated a more systematic geometric exploration of energy shaping. Most of the previous results have been dealt wih particular cases and neither the existence nor the space of solutions has been discussed ...
    • Geometric Jacobian Linearization 

      Tyner, David (2007-12-21)
      For control systems that evolve on Euclidean spaces, Jacobian linearization is a common technique in many control applications, analysis, and controller design methodologies. However, the standard linearization method ...
    • Geometric local controllability: second-order conditions 

      Hirschorn, Ron M.; Lewis, Andrew D. (2002)
      In a geometric point of view, a nonlinear control system, affine in the controls, is thought of as an affine subbundle of the tangent bundle of the state space. In deriving conditions for local controllability from ...
    • Geometric sliding mode control: The linear and linearised theory 

      Hirschorn, Ron M.; Lewis, Andrew D. (2002)
      The idea of sliding mode control for stabilisation is investigated to determine its geometric features. A geometric definition is provided for a sliding submanifold, and for various properties of a sliding submanifold. Sliding ...
    • Geometry of Dirac Operators 

      Beheshti Vadeqan, Babak (2016-07-05)
      Let $M$ be a compact, oriented, even dimensional Riemannian manifold and let $S$ be a Clifford bundle over $M$ with Dirac operator $D$. Then \[ \textsc{Atiyah Singer: } \quad \text{Ind } \mathsf{D}= \int_M ...
    • The geometry of the Gibbs-Appell equations and Gauss's Principle of Least Constraint 

      Lewis, Andrew D. (1995)
      We present a generalisation of the Gibbs-Appell equations which is valid for general Lagrangians. The general form of the Gibbs-Appell equations is shown to be valid in the case when constraints and external forces ...