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Filtering by: Creator Krankina, Olga N. Remove constraint Creator: Krankina, Olga N. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics

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  • Errors in linear nonhomogeneous algebraic systems

    Creator:
    Oeder, Robert Donald
    Resource Type:
    Masters Thesis
    Full Text:
    . The purpose of this thesis is to consider a system of linear nonhomogeneous algebraic equations in n

  • 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:
    in the cornplex plane of the eigen- values of an n by n cornplex valued rnatrix. The theory

  • A classification of determinants whose evaluations have appeared in periodical literature

    Creator:
    Liebetrau, Albert M.
    Abstract:
    This paper is a classification of 181 problems, each of which involves the evaluation or application of determinants. The problems are those which have appeared in the "Problems and Solutions" sections of the American Mathematical Monthly, Deutsche Mathematiker-Vereinigung Jahresbricht, Mathematics Magazine, and School Science and Mathematics. The problems are classified,...
    Resource Type:
    Masters Thesis
    Full Text:
    If we have quantities arranged in a square of rows 3 and n colurnns, .then the surn of all the

  • A cone associated with the Lyapunov mapping

    Creator:
    Lindberg, Charles Gordon
    Abstract:
    In this paper we investigate the Lyapunov mapping P --> AP + PA * where A is a positive stable matrix and P is a hermitian matrix. In particular, for special positive stable A we characterize the image of the cone of positive definite matrices under this mapping. In Section...
    Resource Type:
    Masters Thesis
    Full Text:
    matrices under this mapping. In Section V we give five conditions on an nX n hermitian matrix H and a

  • 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:
    /2 ak a.k (i = n-1).i- k=1 Proof: Let n > 1 be arbitrary. Let S and H be defined as above. Since 0

  • The heuristics college students use and the difficulties they encounter solving conditional probability problems : a case study analysis

    Creator:
    Bamberger, Mary E.
    Abstract:
    The purpose of this descriptive case study analysis was to provide portraits of the heuristics students used and difficulties they encountered solving conditional probability problems prior to and after two-week instruction on sample space, probability, and conditional probability. Further analysis consisted of evaluating the data in relation to a previously...
    Resource Type:
    Masters Thesis
    Full Text:
    . I would also like to thank my friend Olga. If it were not for her guidance and wit, I would have

  • Skew Brownian motion and branching processes applied to diffusion-advection in heterogenous media and fluid flow

    Creator:
    Ramirez, Jorge M.
    Abstract:
    This thesis contains three manuscripts addressing the application of stochastic processes to the analysis and solution of partial differential equations (PDEs) in mathematical physics. In the first manuscript, one dimensional diffusion and Burgers equation are considered. The Fourier transform of the solution to each PDE is represented as the expected...
    Resource Type:
    Dissertation
    Full Text:
    − S0. Let N be the number of vertices in τ , and define X as the following multiplicative functional

  • Nonlinear finite difference schemes for the Klausmeier system

    Creator:
    McClellan, Natalia A.
    Abstract:
    In this work we consider a model for pattern-producing vegetation in semi-arid regions of the world proposed by Klausmeier. It is a coupled nonlinear diffusion-advection evolutionary PDE system describing the vegetation density and water amount. The model was studied extensively by J.Sherratt who took into consideration the field data for...
    Resource Type:
    Masters Thesis
    Full Text:
    Aleksandr and Olga Glaznevi raised me to value education and that deserves a special mention. I love my

  • Modeling Flow and Transport at Pore Scale with Obstructions

    Creator:
    Umhoefer, Joseph G.
    Abstract:
    In this thesis we study mathematical and computational models for phenomena of flow and transport in porous media in the presence of changing pore scale geometries. The differential equations for the flow and transport models at Darcy scale involve the coefficients of permeability, porosity, and tortuosity which depend on the...
    Resource Type:
    Dissertation
    Full Text:
    as the following ∂f ∂n = ∇xf · n. Let f : D×R→ R, f(x, λ) where x ∈ D, λ ∈ R. For d = 2, we denote