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Filtering by: Creator McConnell, Chelsea A. Remove constraint Creator: McConnell, Chelsea A. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics Degree Name Doctor of Philosophy (Ph.D.) Remove constraint Degree Name: Doctor of Philosophy (Ph.D.)

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  • Application of the Puiseux polygon to the solution of nonlinear integral equations

    Creator:
    Wirshup, Arthur D.
    Abstract:
    See pdf
    Resource Type:
    Dissertation
    Full Text:
    °(s)j K(s,ti,,tp)u a a a (Major Professor) The investigations of this paper are concerned with

  • A thin codimension-one decomposition of the Hilbert Cube

    Creator:
    Phon-On, Aniruth
    Abstract:
    For cell-like upper semicontinuous(usc) decompositions G of finite dimensional manifolds M, the decomposition space M/G turns out to be an ANR provided M/G is finite dimensional ([Dav07], page 129 ). Furthermore, if M/G is finite dimensional and has the Disjoint Disks Property (DDP), then M/G is homeomorphic to M ([Dav07],...
    Resource Type:
    Dissertation
    Full Text:
    Mathematics presented on April 29, 2010. Title: A Thin Codimension-one Decomposition of the Hilbert Cube

  • Zero-rest-mass fields from the formula of a tube in complex projective three-space

    Creator:
    Bashir, Mohammed
    Abstract:
    See pdf
    Resource Type:
    Dissertation
    Full Text:
    Doctor of Philosophy A TUBE IN COMPLEX PROJECTIVE THREE-SPACE Abstract approved: ncis J. Flaher y The

  • The integro-geometric tangent measures of euclidean n-space

    Creator:
    Zelver, Jack Solomon
    Abstract:
    A technique of differentiation with respect to the distance to the boundary of an outer parallel-body is applied to known measures of sets of p-dimensional linear spaces which intersect a general convex body in n-dimensional euclidean space in order to obtain an appropriate definition of the measures of sets of...
    Resource Type:
    Dissertation
    Full Text:
    Philosophy Harry heen A technique of differentiation with respect to the distance to the boundary of an

  • Isoconjunctivity of hermitian matrices

    Creator:
    Vander Beek, John Wayne
    Abstract:
    In this thesis we define two nxn matrices T and S to be isoconjunctive if there exists an nxn nonsingular hermitian matrix H such that T = HSH. We then proceed to establish necessary and sufficient conditions that two nxn matrices T and S be isoconjunctive in the case where...
    Resource Type:
    Dissertation
    Full Text:
    - ular. In Chapter III we first obtain a canonical form, under contragradient conjunctivity, for a pair

  • Initial and boundary value problems via topological methods

    Creator:
    O'Regan, Daniel J.
    Abstract:
    In this thesis a relatively new topological technique, due to A. Granas, called Topological Transversality is used to obtain existence theorems for initial and boundary value problems in a variety of settings. This fixed point result is based on the notions of an essential map and on a priori bounds...
    Resource Type:
    Dissertation
    Full Text:
    Value Problems Via Topological Methods Abstract approved: John Walter Lee In this thesis a relatively

  • Finite geometries without the axiom of parallels

    Creator:
    Henderson, Mason Edward
    Abstract:
    Among the geometries with n points on every line (with n an integer greater than one), those in which there are no parallels and those in which the axiom of parallels holds have been discussed (as finite projective and affine geometries) in the literature. This paper contrasts such geometries with...
    Resource Type:
    Dissertation
    Full Text:
    geometries) in the literature. This paper contrasts such geometries with a Bolyai-Lobatchevski finite

  • Canonical states in quantum statistical mechanics

    Creator:
    Kvarda, Robert Edward
    Abstract:
    This report presents a characterization of the quantum mechanical analog of the Gibbs canonical density. The approach is based on a method developed by D.S. Carter for the case of classical statistical mechanics, which considers composite mechanical systems composed of mechanically and statistically independent components. After a brief introductory chapter,...
    Resource Type:
    Dissertation
    Full Text:
    presents a characterization of the quantum me- chanical analog of the Gibbs canonical density. The

  • Notions of complexity in substitution dynamical systems

    Creator:
    Wing, David Josiah
    Abstract:
    There has been a lot of work done in recent decades in the field of symbolic dynamics. Much attention has been paid to the so-called "complexity" function, which gives a sense of the rate at which the number of words in the system grow. In this paper, we explore this...
    Resource Type:
    Dissertation
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    in Substitution Dynamical Systems Abstract approved: Robert M. Burton There has been a lot of work

  • Boundary layer transition

    Creator:
    Bakhshi, Vidya Sagar
    Abstract:
    Transition phenomena commonly occur in nature. These arise either due to structural or behavioral changes in the medium. Examples for these abound in all applied sciences and to mention a few of these, we have, boundary layer, elastic-plastic deformation, and shocks. The present work is devoted to the study of...
    Resource Type:
    Dissertation
    Full Text:
    abound in all applied sciences and to mention a few of these, we have, boundary layer, elastic-plastic