Now showing items 21-40 of 135

  • Convergence of an infinite series 

    Hamlin, Truman Leigh (University of Missouri, 1902)
    This thesis gives some of the more important tests for the convergence of an infinite series; also the conditions that must be fulfilled in order that certain operations and transformations may be applied to an infinite series.
  • Convergence of infinite series 

    Moore, Carl Manford (University of Missouri, 1900)
    We shall define an infinite series as a succession of series formed after sum definite law. Most generally the series are actual numbers or are at least regarded as constraints, and we are concerned with their sum. There ...
  • Counterexamples to Strichartz Type Inequalities 

    Alhazaa, Khalifa (University of Missouri--Columbia, 2013)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The study of Strichartz s inequality is very important in the theory of nonlinear Shrodinger equations. The inequalities do not hold for all choice of ...
  • Counting theorems and inverse function theorems for analytic functions 

    Delibas, Hakan (University of Missouri--Columbia, 2017)
    In this master's thesis, we discuss the counting and Rouche's theorems. These theorems are used to find the roots of complex analytic functions.Also, we investigate the existence of the inverse function of an analytic ...
  • Definition of improper groups by means of axioms : a dissertation 

    Hurwitz, Wallie Abraham, 1886-1958 (University of Missouri, 1906)
    Essentially, a group is an associative field, in which the inverse combinations are uniquely possible. This is a concise statement of the classical definition of a group. The conditions which it connotes will be used here ...
  • Dichotomy theorems for evolution equations 

    Pogan, Alexandru Alin, 1976- (University of Missouri--Columbia, 2008)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] In the first part of this work, under minimal assumptions, we characterize the Fredholm property and compute the Fredholm index of abstract differential ...
  • Directional time-frequency analysis with applications 

    Sansing, Christopher, 1979- (University of Missouri--Columbia, 2006)
    The purpose of this dissertation is to introduce a new directionally-sensitive time frequency representation of a function. It is shown that we may break up a function (or signal) into individual time-frequency-direction ...
  • The Dirichlet problem for elliptic and degenerate elliptic equations, and related results 

    Le, Phi Long (Postdoctoral fellow) (University of Missouri--Columbia, 2016)
    In this thesis, we first prove the solvability of Dirichlet problem with Lp data on the boundary for degenerate elliptic equations. Second, We obtain Lp bounds semi-groups and their gradients, and then we get Lp bounds for ...
  • Distributional estimates for multilinear operators 

    Bilyk, Dmytro, 1979- (University of Missouri--Columbia, 2005)
    We prove that if a multilinear operator and all its adjoints map L1 x x L1 to L1/m,oo, then the distribution function of the operator applied to characteristic functions of sets of finite measure has exponential decay at ...
  • Elliptic curves and their applications in cryptography 

    Pemberton, Michael Paul, 1983- (University of Missouri--Columbia, 2009)
    In 1985, Koblitz and Miller proposed elliptic curves to be used for public key cryptosystems. This present thesis examines the role of elliptic curves on cryptography and basic problems involving implementation and security ...
  • Endpoint solvability results for divergence form, complex elliptic equations 

    Mourgoglou, Michail (University of Missouri--Columbia, 2011)
    We consider divergence form elliptic equations Lu := ∇ • (A∇u) = 0 in the half space ℝn+1+ := {(x,t)∈ ℝn x (0,∞)}, whose coeffi cient matrix A is complex elliptic, bounded and measurable. In addition, we suppose that A ...
  • Erdős distance problem in the hyperbolic half-plane 

    Senger, Steven, 1982- (University of Missouri--Columbia, 2009)
    The Erd̋os distance problem asks for the minimum number of distinct distances determined by large finite point sets in the plane. The aim of this work is to investigate how the classical techniques employed in the study ...
  • Errors in graphical methods 

    Bruton, Fred David (University of Missouri, 1914)
    The author suggests methods for determining errors in graphical computations and discusses errors in the graphical methods in the infinitesimal calculus.
  • The Evans function, the Weyl-Titchmarsh function, and the Birman-Schwinger operators 

    Sukhtayev, Alim (University of Missouri--Columbia, 2012)
    We focus on the spectral stability of travelling wave solutions of partial differential equations. First, we use the Gohberg-Rouche Theorem to prove equality of the algebraic multiplicity of an isolated eigenvalue of an ...
  • Existence and construction of real-valued equiangular tight frames 

    Redmond, Daniel Joseph (University of Missouri--Columbia, 2009)
    This paper presents results on real-valued equiangular tight frames (ETFs) and related topics. Some geometric theorems are developed, and aspects of frame theory are used to gain insight into ETFs. We develop a projection ...
  • Expectation of p-norm of random matrices with heavy tails 

    Vaidyanathan, Chandrasekar, 1975- ([University of Missouri--Columbia], 2014)
    The p-norm (p > 2) of a random matrix whose entries are gaussian, subgaussian and log concave have been studied previously. We conjecture the following generalization of the above results for heavy tailed random matrices: ...
  • Explorations of geometric combinatorics in vector spaces over finite fields 

    Hart, Derrick, 1980- (University of Missouri--Columbia, 2008)
    We study how large a set of points needs to be in a vector space over a finite field in order for the points to determine all of a certain type of geometric structure. In addition we show that there are key differences ...
  • Exponential sums, character sums, sieve methods and distribution of prime numbers 

    Guo, Victor Zhenyu (University of Missouri--Columbia, 2017)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] This thesis is focus on the methods of exponential sums and sieve methods applying to distribution of primes numbers in several forms, such as ...
  • An extension of Green's theorem with application 

    Judd, Kristin N. (University of Missouri--Columbia, 2008)
    The main result of this thesis is a generalization of Green's Theorem. Green' s Theorem states: If Omega is an open subset of R[logical and]2 containing a compact subset K with smooth boundary. Let P and Q be two real ...
  • Extension theorems in vector spaces over finite fields 

    Koh, Doowon, 1972- (University of Missouri--Columbia, 2008)
    We study the L[superscript p] - L[superscript r] boundedness of the extension operator associated with algebraic varieties such as nondegenerate quadratic surfaces, paraboloids, and cones in vector spaces over finite fields. ...