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Mathematics
Compact Topological Spaces
Date: June 1964
Creator: Conway, Thomas M.
Description: The purpose of this paper is to investigate some properties of compact topological spaces and to relate these concepts to the separation properties.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc130506/
Comparison of Some Mappings in Topology
Date: January 1964
Creator: Aslan, Farhad
Description: The main purpose of this paper is the study of transformations in topological space and relationships between special types of transformations.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc108253/
Complemented Subspaces of Bounded Linear Operators
Date: August 2003
Creator: Bahreini Esfahani, Manijeh
Description: For many years mathematicians have been interested in the problem of whether an operator ideal is complemented in the space of all bounded linear operators. In this dissertation the complementation of various classes of operators in the space of all bounded linear operators is considered. This paper begins with a preliminary discussion of linear bounded operators as well as operator ideals. Let L(X, Y ) be a Banach space of all bounded linear operator between Banach spaces X and Y , K(X, Y ) be the space of all compact operators, and W(X, Y ) be the space of all weakly compact operators. We denote space all operator ideals by O.
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Permallink:digital.library.unt.edu/ark:/67531/metadc4349/
A Computation of Partial Isomorphism Rank on Ordinal Structures
Date: August 2006
Creator: Bryant, Ross
Description: We compute the partial isomorphism rank, in the sense Scott and Karp, of a pair of ordinal structures using an Ehrenfeucht-Fraisse game. A complete formula is proven by induction given any two arbitrary ordinals written in Cantor normal form.
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Permallink:digital.library.unt.edu/ark:/67531/metadc5387/
The Computation of Ultrapowers by Supercompactness Measures
Date: August 1999
Creator: Smith, John C.
Description: The results from this dissertation are a computation of ultrapowers by supercompactness measures and concepts related to such measures. The second chapter gives an overview of the basic ideas required to carry out the computations. Included are preliminary ideas connected to measures, and the supercompactness measures. Order type results are also considered in this chapter. In chapter III we give an alternate characterization of 2 using the notion of iterated ordinal measures. Basic facts related to this characterization are also considered here. The remaining chapters are devoted to finding bounds fwith arguments taking place both inside and outside the ultrapowers. Conditions related to the upper bound are given in chapter VI.
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Permallink:digital.library.unt.edu/ark:/67531/metadc2201/
Conditions under which Certain Inequalities Become Equalities
Date: 1948
Creator: Vaughan, Nick H.
Description: The object of this paper is to consider necessary and sufficient conditions in order for certain important inequalities, which are frequently used in analysis, to reduce to equalities.
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Permallink:digital.library.unt.edu/ark:/67531/metadc83455/
A Constructive Method for Finding Critical Point of the Ginzburg-Landau Energy Functional
Date: August 2008
Creator: Kazemi, Parimah
Description: In this work I present a constructive method for finding critical points of the Ginzburg-Landau energy functional using the method of Sobolev gradients. I give a description of the construction of the Sobolev gradient and obtain convergence results for continuous steepest descent with this gradient. I study the Ginzburg-Landau functional with magnetic field and the Ginzburg-Landau functional without magnetic field. I then present the numerical results I obtained by using steepest descent with the discretized Sobolev gradient.
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Permallink:digital.library.unt.edu/ark:/67531/metadc9075/
Continuation of Real Functions Defined by Power Series
Date: 1948
Creator: Strickland, Warren, G.
Description: This thesis looks at power series, particularly in the areas of: radius of convergence, properties of functions represented by power series, algebra of power series, and Taylor's Theorem and continuation by means of power series.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc83451/
Convergence Preserving Matrices
Date: August 1961
Creator: Line, Harrell Harvey
Description: This paper is the result of a study of triangular matrices with particular emphasis on those which are convergence preserving transformations.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc130470/
Convergence Tests for Infinite Series
Date: 1950
Creator: Latimer, Philip W.
Description: The field of infinite series is so large that any investigation into that field must necessarily be limited to a particular phase. An attempt has been made to develop a number of tests having a wide range of applications. Particular emphasis has been placed on tests for series of positive terms.
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Permallink:digital.library.unt.edu/ark:/67531/metadc83732/