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Polynomial Harmonic Decompositions

Description: Article on polynomial harmonic decompositions. For real polynomials in two indeterminates a classical polynomial harmonic decomposition is extended from square-norm divisors to conic ones.
Date: January 2017
Creator: Anghel, Nicolae
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Partner: UNT College of Arts and Sciences
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On Morley's miracle theorem

Description: Article on Morley's miracle theorem. The authors use work by A. Connes to explore possible generalizations of Morley's trisector theorem to triangles in arbitrary value fields.
Date: 2004
Creator: Anghel, Nicolae
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Partner: UNT College of Arts and Sciences
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The Levi problem on mixed manifolds

Description: Article discussing the Levi problem on mixed manifolds. This article gives a new proof that the problem of Levi, to mixed varieties have a solution in the sense that every pseudoconvex closely mixed variety, with enough real global morphisms, is a variety of Cartan.
Date: 1984
Creator: Anghel, Nicolae
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Partner: UNT College of Arts and Sciences
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SL₂-polynomial invariance

Description: Article on SL₂-polynomial invariance. The purpose of this article is to describe completely, in a constructive way, the structure of these invariant polynomials in the particular case n = 2, for an arbitrary field k.
Date: 1998
Creator: Anghel, Nicolae
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Partner: UNT College of Arts and Sciences
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Algebraic Numbers and Topologically Equivalent Measures

Description: A set-theoretical point of view to study algebraic numbers has been introduced. We extend a result of Navarro-Bermudez concerning shift invariant measures in the Cantor space which are topologically equivalent to shift invariant measures which correspond to some algebraic integers. It is known that any transcendental numbers and rational numbers in the unit interval are not binomial. We proved that there are algebraic numbers of degree greater than two so that they are binomial numbers. Algebra… more
Date: December 1983
Creator: Huang, Kuoduo
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Gateaux Differentiable Points of Simple Type

Description: Every continuous convex function defined on a separable Banach space is Gateaux differentiable on a dense G^ subset of the space E [Mazur]. Suppose we are given a sequence (xn) that Is dense in E. Can we always find a Gateaux differentiable point x such that x = z^=^anxn.for some sequence (an) with infinitely many non-zero terms so that Ση∞=1||anxn|| < co ? According to this paper, such points are called of "simple type," and shown to be dense in E. Mazur's theorem follows directly from the res… more
Date: December 1982
Creator: Oh, Seung Jae
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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The Steepest Descent Method Using Finite Elements for Systems of Nonlinear Partial Differential Equations

Description: The purpose of this paper is to develop a general method for using Finite Elements in the Steepest Descent Method. The main application is to a partial differential equation for a Transonic Flow Problem. It is also applied to Burger's equation, Laplace's equation and the minimal surface equation. The entire method is tested by computer runs which give satisfactory results. The validity of certain of the procedures used are proved theoretically. The way that the writer handles finite elements is… more
Date: August 1981
Creator: Liaw, Mou-yung Morris
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Newton flow of the Riemann zeta function: separatrices control the appearance of zeros

Description: This article applies the continuous Newton method to the Riemann zeta function and discusses the emerging patterns emphasizing especially the structuring of the non-trivial zeros by the separatrices.
Date: October 14, 2014
Creator: Neuberger, J. W.; Feiler, C.; Llopis, A.; Maier, H. & Schleich, W. P.
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Partner: UNT College of Arts and Sciences
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Role of Exponential Type Random Invexities for Asymptotically Sufficient Efficiency Conditions in Semi-Infinite Multi-Objective Fractional Programming

Description: This article introduces several notions of random exponential type asymptotic invexities to establish results to the context of a class of asymptotically sufficient efficiency conditions in semi-infinite multi-objective fractional programing.
Date: September 2, 2016
Creator: Verma, Ram U. & Seol, Youngsoo
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Partner: UNT College of Arts and Sciences
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Existence and Nonexistence of Solutions for Semilinear Equations on Exterior Domains

Description: This article studies radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball of radius R > 0 centered at the origin in ℝᴺ where ƒ is odd with ƒ < 0 on (0,ß), ƒ > 0 on (β, δ), ƒ ≡ 0 for u > δ, and where the function K(r) is assumed to be positive and K(r) → 0 as r → ∞.
Date: August 22, 2016
Creator: Iaia, Joseph A.
Item Type: Refine your search to only Article
Partner: UNT College of Arts and Sciences
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