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  • On Small Heights of Totally p-adic Numbers

    Creator:
    Stacy, Emerald T.
    Abstract:
    The height of an algebraic number A is a measure of how arithmetically complicated A is. We say A is totally p-adic if the minimal polynomial of A splits completely over the field of p-adic numbers. In this paper, we investigate what can be said about the smallest nonzero height...
    Resource Type:
    Dissertation
    Full Text:
    the degree of Doctor of Philosophy in Mathematics presented on June 13, 2018. Title: On Small

  • A general theory of density in additive number theory

    Creator:
    Freedman, Allen Roy
    Abstract:
    See PDF for abstract.
    Resource Type:
    Dissertation
    Full Text:
    the Ph. D. in Mathematics (Name) (Degree) (Major) Date thesis is presented May 13, 1965 Title A

  • A reinterpretation, and new demonstrations of, the Borel Normal Number Theorem

    Creator:
    Rockwell, Daniel Luke
    Abstract:
    The notion of a normal number and the Normal Number Theorem date back over 100 years. Émile Borel first stated his Normal Number Theorem in 1909. Despite their seemingly basic nature, normal numbers are still engaging many mathematicians to this day. In this paper, we provide a reinterpretation of the...
    Resource Type:
    Dissertation
    Full Text:
    , and New Demonstrations of, the Borel Normal Number Theorem Abstract approved: Robert M. Burton The

  • 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:
    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.1 Absolute values on number fields

  • Heat transfer in magnetic fluids at low Reynolds number

    Creator:
    Choi, Sang Hyouk
    Abstract:
    This study was concerned with the flow of a magnetic self-propelled ferrohydrodynamic fluid in a horizontal circular tube subjected to axially varying temperature and magnetic field. The first phase of the study involved the analytical solution to the governing equations for the velocity and temperature profiles within the fully developed...
    Resource Type:
    Dissertation
    Full Text:
    Heat transfer in magnetic fluids at low Reynolds number

  • Mahler's order functions and algebraic approximation of p-adic numbers

    Creator:
    Dietel, Brian Christopher
    Abstract:
    If P is an integer polynomial denote the degree of P by ∂(P) and let H(P) be the maximum of the absolute value of the coefficients of P. Define Λ(P)=2[superscript ∂(P)]H(P) and for a fixed prime p let C[subscript p] denote the completion of the algebraic closure of the p-adic...
    Resource Type:
    Dissertation
    Full Text:
    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3 Properties of O on Cp

  • Zeros of Certain Combinations of Products of Eisenstein Series

    Creator:
    Klangwang, Jetjaroen
    Abstract:
    In this dissertation, we begin by presenting the result of F. K. C. Rankin and Swinnerton-Dyer on the location of the zeros of the Eisenstein series for the full modular group in the standard fundamental domain. Their simple but beautiful argument shows that all zeros are located on the lower...
    Resource Type:
    Dissertation
    Full Text:
    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.3 Definition of sample points

  • The effects of actinomycin D on the primary and secondary immune responses induced in vitro

    Creator:
    Thompson, William Carl
    Abstract:
    In order to assess the importance of RNA synthesis in the induction and antibody-producing phases of immune responses, actinomycin D was used to inhibit the primary and secondary in vitro immune responses of mouse spleen cells against heterologous erythrocytes. The presence of actinomycin D (0.1 or 0.125 μg /ml) throughout...
    Resource Type:
    Dissertation
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    the number of PFCs on the fourth day by 81-99%. Utilizing cultures of spleen cells from mice already

  • Students' Understanding of Complex Numbers in Middle-Division Physics

    Creator:
    Smith, Emily M.
    Abstract:
    Mathematical sophistication increases rapidly as students transition from lower- to upper-division physics courses. Complex algebra is one of the mathematical tools that is not introduced or used in lower-division physics courses but is pervasive throughout upper-division courses. In this dissertation, I study middle-division physics students' developing fluency with complex number...
    Resource Type:
    Dissertation
    Full Text:
    physics students’ developing fluency with complex number algebra as they transition from lower- to upper

  • An analysis of the effect of mathematics readiness education at the kindergarten level on the growth of conceptual ability of number as measured by Piaget's stages of the development of number

    Creator:
    Anderson, Doloris Gerkewicz
    Abstract:
    The purpose of this study was to test two assumptions. They are that factors in a child's background correlate with the notion of conservation and that additional mathematical instruction will result in a higher level of maturity of the notion of conservation as well as increased achievement in mathematical skills....
    Resource Type:
    Dissertation
    Full Text:
    education at the kindergarten level on the growth of conceptual ability of number as measured by Piaget's