Search Constraints

Start Over
Filtering by: Creator Rochman, Chelsea M. Remove constraint Creator: Rochman, Chelsea M. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics

Search Results

  • The Partition Function and Ramanujan Congruences

    Creator:
    Bucher, Eric
    Abstract:
    The study into specific properties of the partition function has been a rich topic for number theorists for many years. Much of the current work involving the arithmetic properties of the partition function and their seed in some keen observations of Ramanujan.In particular he discovered what are referred to as...
    Resource Type:
    Capstone Project
    Full Text:
    and this idea was extended to moduli M coprime to 6 by Ahlgren [Ahl00]. Since then Boylan has

  • 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:
    : BOUNDARY LAYER TRANSITION Abstract approved: M. N. L. Nara simhan Transition phenomena commonly occur in

  • 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
    Full Text:
    in Substitution Dynamical Systems Abstract approved: Robert M. Burton There has been a lot of work

  • 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:
    dimensional man- ifolds M , the decomposition space M/G turns out to be an ANR provided M/G is finite

  • Generalization of the Ostrowski-Schneider main inertia theorem

    Creator:
    Hill, Richard David
    Abstract:
    As indicated by the title, this thesis generalizes the Main Inertia Theorem of Ostrowski and Schneider [8]. The first three results concern the formation of a polynomial function f(A, A*, H) so that the existence of an hermitian H for which f(A, A*, H) is positive definite is a necessary...
    Resource Type:
    Masters Thesis
    Full Text:
    AN ABSTRACT OF THE THESIS OF Richard David Hill for the M

  • Efficient Finite Groups Arising in the Study of Relative Asphericity

    Creator:
    Bogley, William A. and Williams, Gerald
    Abstract:
    We study a class of two-generator two-relator groups, denoted J[subscript n](m, k), that arise in the study of relative asphericity as groups satisfying a transitional curvature condition. Particular instances of these groups occur in the literature as finite groups of intriguing orders. Here we find infinite families of non-elementary virtually...
    Resource Type:
    Article and Preprint
    Full Text:
    study a class of two-generator two-relator groups, denoted Jn(m, k), that arise in the study of relative

  • Vector sums of line segments

    Creator:
    Ogard, Steven Phillip
    Abstract:
    The author shows that a necessary and sufficient condition for a convex polyhedron to be representable as a finite vector sum of line segments is that each of its faces possesses central symmetry.
    Resource Type:
    Masters Thesis
    Full Text:
    OF STEVEN PHILLIP OGARD for the M. S. in Mathematics (Name) (Degree) (Major) Date thesis is

  • Two finite Tchebichef transformations

    Creator:
    Normann, Søren Frederick
    Resource Type:
    Masters Thesis
    Full Text:
    . 2, P• 184) [n/2) m y (X) = U (X) = r ( · t) . ta;m P ( 2X) n-2m , 2 n L m. (n- ) • m=O where

  • Lattice point on the boundary of convex bodies

    Creator:
    Andrews, George E., 1938-
    Resource Type:
    Masters Thesis
    Full Text:
    content V > m2, then it contains at least m pairs of lattice points. Thus we are afforded two avenues

  • 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:
    . Steiner's formula gives us the surface area S(K(t)) of K(t): S(K(t)) = S(K) 2tM(K) + 47tt2 where M(K) is