Now showing items 72-91 of 151

    • Kinematic controllability and motion planning for the snakeboard 

      Bullo, Francesco; Lewis, Andrew D. (IEEE, 2003)
      The snakeboard is shown to be kinematically controllable. Associated with the two decoupling vector fields for the problem, a constrained static nonlinear programming problem is posed whose solutions provide a solution to ...
    • Lagrangian submanifolds and an application to the reduced Schrödinger equation in central force problems 

      Lewis, Andrew D. (D. Reidel, 1992)
      In this Letter, a Lagrangian foliation of the zero energy level is constructed for a family of planar central force problems. The dynamics on the leaves are explicitly computed and these dynamics are given a simple ...
    • Lifting distributions to tangent and jet bundles 

      Lewis, Andrew D. (1998)
      We provide two natural ways to lift a distribution from a manifold to its tangent bundle, and show that they agree if and only if the original distribution is integrable. The case when the manifold is the total space ...
    • Linear Programming Decoding for Non-Uniform Sources and for Binary Channels With Memory 

      Cohen, Adam (2008-12-09)
      Linear programming (LP) decoding of low-density parity-check codes was introduced by Feldman et al. in [1]. In his formulation it is assumed that communication takes place over a memoryless channel and that the source is ...
    • The linearisation of a simple mechanical control system 

      Bullo, Francesco; Lewis, Andrew D. (2002)
      A geometric interpretation is given for the linearisation of a mechanical control system with a kinetic minus potential energy Lagrangian.
    • Local controllability of affine distributions 

      Aguilar, Cesar (2010-01-12)
      In this thesis, we develop a feedback-invariant theory of local controllability for affine distributions. We begin by developing an unexplored notion in control theory that we call proper small-time local controllability ...
    • Lossless Coding of Markov Random Fields with Complex Cliques 

      Wu, Szu Kuan Steven (2013-08-14)
      The topic of Markov Random Fields (MRFs) has been well studied in the past, and has found practical use in various image processing, and machine learning applications. Where coding is concerned, MRF specific schemes have ...
    • Low-order controllability and kinematic reductions for affine connection control systems 

      Bullo, Francesco; Lewis, Andrew D. (2002)
      Controllability and kinematic modeling notions are investigated for a class of mechanical control systems. First, low-order controllability results are given for a class of mechanical control systems. Second, a ...
    • Management and Sensing of Spectrum in Cognitive Radio 

      Akhavan Astaneh, Saeed (2013-06-04)
      Under the contemporary spectrum usage regulations, radio frequency bands are allocated statically to licensed users in a large geographical area and over a long period of time. Recent investigations have revealed that such ...
    • Marginal Models for Modeling Clustered Failure Time Data 

      Niu, Yi (2013-02-01)
      Clustered failure time data often arise in biomedical and clinical studies where potential correlation among survival times is induced in a cluster. In this thesis, we develop a class of marginal models for right censored ...
    • A Mathematical Discussion of Corotational Finite Element Modeling 

      Craighead, John Wesley (2011-03-31)
      This thesis discusses the mathematics of the Element Independent Corotational (EICR) Method and the more general Unified Small-Strain Corotational Formulation. The former was developed by Rankin, Brogan and Nour-Omid [106]. ...
    • Mathematics Problems and Thinking Mathematically in Undergraduate Mathematics 

      Matthews, Asia R. (2015-05-01)
      Mathematics is much more than a formal system of procedures and formulae; it is also a way of thinking built on creativity, precision, reasoning, and representation. I present a model for framing the process of doing ...
    • MEASURING DEPENDENCE VIA MUTUAL INFORMATION 

      Lu, Shan (2011-10-03)
      Considerable research has been done on measuring dependence between random variables. The correlation coefficient is the most widely studied linear measure of dependence. However, the limitation of linearity limits its ...
    • Minimal Presentations of Sofic Shifts and Properties of Periodic-Finite-Type Shifts 

      Manada, Akiko (2009-08-12)
      Constrained codes have been used in data storage systems, such as magnetic tapes, CD’s and DVD’s, in order to reduce the likelihood of errors by predictable noise. The study of constrained codes is based on the study of ...
    • The Minimum Witt Index of a Graph 

      Elzinga, Randall J. (2007-09-17)
      An independent set in a graph G is a set of pairwise nonadjacent vertices, and the maximum size, alpha(G), of an independent set in G is called the independence number. Given a graph G and weight matrix A of G with entries ...
    • Modeling and Analysis of Dynamic Computer Experiments 

      Zhang, Ru
      Dynamic computer experiments which refer to computer experiments with time series outputs have increasingly gained popularity in both science and engineering. Analysis of dynamic computer experiments through statistical ...
    • Modelling of Dynamic Computer Experiments with Both Qualitative and Quantitative Variables 

      Liang, Jingyi
      Computer experiments are utilized as a popular tool of studying the relationship between responses and the factors that affect them. They are widely used in scientific researches and applications. Dynamic computer experiments ...
    • Modelling Pathogen Evolution with Branching Processes 

      Alexander, Helen (2010-07-28)
      Pathogen evolution poses a significant challenge to public health, as efforts to control the spread of infectious diseases struggle to keep up with a shifting target. To better understand this adaptive process, we turn ...
    • Moduli Spaces of K3 Surfaces with Large Picard Number 

      Harder, Andrew (2011-08-15)
      Morrison has constructed a geometric relationship between K3 surfaces with large Picard number and abelian surfaces. In particular, this establishes that the period spaces of certain families of lattice polarized K3 surfaces ...
    • Moduli spaces of vector bundles on toric surfaces 

      Ren, Owen
      The moduli spaces parametrizing isomorphism classes of vector bundles are poorly understood. For certain choices of the first Chern class and a suitable second Chern class, we show that there exists an ample line bundle ...