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  • Impact of biased movement on marine protected area effectiveness

    Creator:
    Rekow, James Alexander
    Abstract:
    Fish mobility affects the distribution of commercially caught fish species in marine protected areas (MPAs) and unprotected areas, which we will call fishing grounds (FGs). Previous theoretical findings predicted that highly mobile fish would benefit little if at all from protection in MPAs (Demartini 1993, Walters et al. 1999). However,...
    Resource Type:
    Honors College Thesis
    Full Text:
    ical models of fish populations in MPAs and the surrounding FG can be used to predict the affect of an

  • Topological and Dynamical Properties of Cyclically Presented Groups

    Creator:
    McDermott, Kirk M.
    Abstract:
    This dissertation investigates the structure and topological properties of cyclicallypresented groups. First, a family of groups called groups of type Z is considered. Withfew exceptions, the finiteness, asphericity, fixed point, and 3-manifold spine problemsare solved. Most groups of type Z have a central element of infinite order fixed by theshift....
    Resource Type:
    Dissertation
    Full Text:
    including H(9, 4) and H(9, 7). The �rst known examples of in�nite, non-aspherical groups with free shift

  • Persistence of Populations in Environments with an Interface

    Creator:
    Rekow, James A.
    Abstract:
    We model a fish population in a spatial region comprising a marine protected area and a fishing ground separated by an interface. The model assumes conservation of biomass density and takes the form of a reaction diffusion equation with a logistic reaction term. At the interface, in addition to continuity...
    Resource Type:
    Masters Thesis
    Full Text:
    (FG). Here, we identify necessary and sufficient conditions for the persistence of populations in an

  • The enumeration of strings of a given length in an n-ary non-associative non-commutative algebra

    Creator:
    Klosinski, Leonard Frank
    Abstract:
    In his book on abstract algebra, Nathan Jacobson poses and solves the problem of finding the number of ways of inserting parentheses in a string of given length with binary operators. We continue the work of Jacobson and go beyond it in that we no longer consider one binary operator...
    Resource Type:
    Masters Thesis
    Full Text:
    have seen that k can equal 1, 4, 7. And in general, the length of a string with ternary operators is

  • Effectiveness in Stallings' Proof of Grushko's Theorem

    Creator:
    Synhavsky, Paul
    Resource Type:
    Capstone Project
    Full Text:
    in one-to-one corre- spondence with X via x 7−→ x−1. Define the alphabet on X to be X ∪X−1. A word on

  • Sheppard's correction : moment relationships and correction terms

    Creator:
    Jumani, Vishnu Balchand
    Abstract:
    This thesis is concerned with the detailed derivation of Sheppard's Correction Formula relating the true to the raw moments by the use of Euler-MacLaurin formula. Special moment relationships have been derived using different special functions, whose application is made to derive correction formula for the semi-invariants. Special investigation is carried...
    Resource Type:
    Masters Thesis
    Full Text:
    = L x " Ai,i=-m x . + w w i 2 7 A. = ," f ( x ) dx = f f ( x . + y) dy i i w w xi- 2--- -7 2 is

  • On the structure of minimum surfaces at the boundary

    Creator:
    Tjoelker, Cornelius Henry
    Abstract:
    In this paper we consider the behavior of certain surfaces at certain boundary points. The surfaces under consideration satisfy a topological definition and are of 2-dimension in 3-dimensional Euclidean space with the boundary a finite set of straight line segments. It is shown that the surface of minimum area with...
    Resource Type:
    Masters Thesis
    Full Text:
    A THESIS S .0 r '.r6l,¡r.iA;a5..7 1,Li : .. ,.1, 1 o') ; I)' :, :r i5'1 f ,'íy..R1 e

  • Generalized measures of deformation-rates in torsional flows of viscoelastic fluids between two infinite parallel planes

    Creator:
    Park, Moon Up
    Abstract:
    An introduction to the generalized measures of deformation- rates involving not only velocity gradients but also acceleration gradients is given and constitutive equations using these measures have been discussed. These new constitutive equations are then used to study torsional flows of viscoelastic fluids between two infinite parallel planes. In order...
    Resource Type:
    Masters Thesis
    Full Text:
    of the Classical Theory of Continuous Media 7 2.3 Nonlinear Theories of Continuous Media 8 2.4

  • Existence Theory in Sobolev Spaces for an Aggregation Equation

    Creator:
    Barta, Hannah E.
    Abstract:
    Aggregation equations have been used to model phenomena such as insect swarming and chemotaxis. Previous work on aggregation equations in the area of analysis applied to PDE has proven well-posedness of certain classes of aggregation equations in Lebesgue spaces. We will prove local existence of solutions in H^1 to an...
    Resource Type:
    Capstone Project
    Full Text:
    considering this case is from Bodnar [7], who proves local existence and uniqueness of solutions when the

  • New Families of pseudo-Anosov Homeomorphisms with Vanishing Sah-Arnoux-Fathi Invariant

    Creator:
    Do, Hieu Trung
    Abstract:
    Translation surfaces can be viewed as polygons with parallel and equal sides identified. An affine homeomorphism φ from a translation surface to itself is called pseudo-Anosov when its derivative is a constant matrix in SL₂(R) whose trace is larger than 2 in absolute value. In this setting, the eigendirections of...
    Resource Type:
    Dissertation
    Full Text:
    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3 Sah-Arnoux-Fathi invariant

  • The Collision of Quadratic Fields, Binary Quadratic Forms, and Modular Forms

    Creator:
    Smith, Karen
    Abstract:
    As indicated by the title The Collision of Quadratic Fields, Binary Quadratic Forms, and Modular Forms, this paper leads us to an understanding of the relationship between these three areas of study. In [4], Zagier gives the results of an intriguing example of the relationship between these areas. However there...
    Resource Type:
    Capstone Project
    Full Text:
    discriminant, so we also note that the first ten negative fundamental discriminants are -3, -4, -7, -8, -11

  • A synthesis of significant developments in the history, calculation, and properties of the number pi

    Creator:
    Burdg, Donald Eugene
    Abstract:
    This thesis brings together under one cover a survey of the history of the real number pi along with a study of the present state of its theory, application, and calculation.
    Resource Type:
    Masters Thesis
    Full Text:
    unit fractions. Next, in the Bible we find two references (1 Kings 7: 23 and 2 Chronicles 4: 2

  • Maximal operators along surfaces of revolution

    Creator:
    Le, Hung Viet
    Abstract:
    The study of differentiation of integrals has led to the study of maximal functions. In the development of harmonic analysis, the most powerful result connected with Lebesgue's theorem was that of the Hardy-Littlewood Maximal Theorem. This maximal theorem implies Lebesgue's theorem, and the maximal function and its variants have played...
    Resource Type:
    Dissertation
    Full Text:
    in Euclidean Spaces 6 2.1 Introduction 6 2.2 Theorem 1 7 2.3 Corollary 1 7 2.4 Corollary 2 7 2.5

  • Stability of convective flows in porous media

    Creator:
    Ghandour, Nabil Nassib
    Abstract:
    The stability of fluids in porous media subject to various physical and geometrical conditions is studied here. Criteria for the onset of convective motions are given in terms of critical temperature gradients or heat sources. The general method used involves the linearization of the field equations about the hydrostatic solutions...
    Resource Type:
    Dissertation
    Full Text:
    ABSTRACT OF THE THESIS OF May 7, 1973 GUnnar Bodvars son Abstract approved: The stability of fluids in

  • Two finite Tchebichef transformations

    Creator:
    Normann, Søren Frederick
    Resource Type:
    Masters Thesis
    Full Text:
    OPERATIONAL PROPERTIES OF THE 7 FINITE TCHEBICHBF TRANSFORMS IV METHODS OF COMPUTATION AND 25 APPLICATIONS

  • Higher order differential geometry and some related questions

    Creator:
    Fredricks, Gregory Alan
    Abstract:
    A theory of higher order connections is developed as a reduction of the structure group of the jet bundle of sections of a smooth vector bundle. This definition leads naturally to higher order curvatures and covariant derivatives. Curvature Conditions for a second order partial differential operator to have constant coefficients...
    Resource Type:
    Dissertation
    Full Text:
    ). Definition (1.1) An -dimensional vector bundle is a, triple (E,Tr,M), where Tr: E 4 M is a submersion and 7

  • Algebraic Pappus Curves

    Creator:
    Hatase, Tatsuhiko
    Abstract:
    We show that Pappus Curves, introduced by R. Schwartz to study his dynamical system in the real projective plane generated by iterated applications of the classical Pappus Theorem, are algebraic exactly in the linear case. Our approach is to use properties of projective curves such as singular points, genus, number...
    Resource Type:
    Dissertation
    Full Text:
    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.1.3 The Modular Group

  • Fourier analysis of non-sinusoidal waves

    Creator:
    Rickard, LaVerne Edwin
    Resource Type:
    Masters Thesis
    Full Text:
    prep aration of this thesis. TABIS OF CONTESTS 1. Fourier's Theorem 4 2. Orthogonal Functions . 7

  • An investigation of selected generating functions

    Creator:
    Stoebig, Alan
    Resource Type:
    Masters Thesis
    Full Text:
    = 0 for all valid x, (7) 1 -n- l 27ri fn(x) = F(x, z)z dz, n = 0, 1, 2, ... for a sufficiently

  • Arithmetic dynamical questions with local rationality conditions

    Creator:
    Noytaptim, Chatchai
    Abstract:
    We introduce a numerical criterion which allows us to bound the degree of any algebraic integer having all of Galois conjugates in an interval of length less than 4. Using this criterion, we study two arithmetic dynamical questions with local rationality conditions. First, we classify all unicritical polynomials defined over...
    Resource Type:
    Dissertation
    Full Text:
    example [GKN], [GKNY], [GY], and [FG]. Indeed, PCF maps are, in several ways, analogous to notion of CM