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UNT Theses and Dissertations
Atmospheric Gusts and Their Effect on Aircraft
Date: August 1958
Creator: Walling, Waunnetta Keene
Description: This thesis investigates atmospheric gusts and their effect on aircraft.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc108016/
Basic Fourier Transforms
Date: January 1962
Creator: Cumbie, James Randolph
Description: The purpose of this paper is to develop some of the more basic Fourier transforms which are the outgrowth of the Fourier theorem. Although often approached from the stand-point of the series, this paper will approach the theorem from the standpoint of the integral.
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Permallink:digital.library.unt.edu/ark:/67531/metadc130482/
Borel Determinacy and Metamathematics
Date: December 2001
Creator: Bryant, Ross
Description: Borel determinacy states that if G(T;X) is a game and X is Borel, then G(T;X) is determined. Proved by Martin in 1975, Borel determinacy is a theorem of ZFC set theory, and is, in fact, the best determinacy result in ZFC. However, the proof uses sets of high set theoretic type (N1 many power sets of ω). Friedman proved in 1971 that these sets are necessary by showing that the Axiom of Replacement is necessary for any proof of Borel Determinacy. To prove this, Friedman produces a model of ZC and a Borel set of Turing degrees that neither contains nor omits a cone; so by another theorem of Martin, Borel Determinacy is not a theorem of ZC. This paper contains three main sections: Martin's proof of Borel Determinacy; a simpler example of Friedman's result, namely, (in ZFC) a coanalytic set of Turing degrees that neither contains nor omits a cone; and finally, the Friedman result.
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Permallink:digital.library.unt.edu/ark:/67531/metadc3061/
The Buckling of a Uniformly Compressed Plate with Intermediate Supports
Date: 1949
Creator: Dean, Thomas S.
Description: This problem has been selected from the mathematical theory of elasticity. We consider a rectangular plate of thickness h, length a, and width b. The plate is subjected to compressive forces. These forces act in the neutral plane and give the plate a tendency to buckle. However, this problem differs from other plate problems in that it is assumed that there are two intermediate supports located on the edges of the plate parallel to the compressive forces.
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Permallink:digital.library.unt.edu/ark:/67531/metadc83479/
The Cantor Ternary Set and Certain of its Generalizations and Applications
Date: 1942
Creator: Hembree, Gwendolyn
Description: This thesis covers the Cantor Ternary Set and generalizations of the Cantor Set, and gives a complete existential theory for three set properties: denumerability, exhaustibility, and zero measure.
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Permallink:digital.library.unt.edu/ark:/67531/metadc70344/
Certain Properties of Functions Related to Exhaustibility
Date: 1952
Creator: Bradford, James C.
Description: In this thesis, we shall attempt to present a study of certain properties of real functions related to the set property exhaustible.
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Permallink:digital.library.unt.edu/ark:/67531/metadc107821/
A characterization of homeomorphic Bernoulli trial measures.
Date: August 2006
Creator: Yingst, Andrew Q.
Description: We give conditions which, given two Bernoulli trial measures, determine whether there exists a homeomorphism of Cantor space which sends one measure to the other, answering a question of Oxtoby. We then provide examples, relating these results to the notions of good and refinable measures on Cantor space.
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Permallink:digital.library.unt.edu/ark:/67531/metadc5331/
Characterizations of Continua of Finite Degree
Date: August 2006
Creator: Irwin, Shana
Description: In this thesis, some characterizations of continua of finite degree are given. It turns out that being of finite degree (by formal definition) can be described by saying there exists an equivalent metric in which Hausdorff linear measure of the continuum is finite. I discuss this result in detail.
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Permallink:digital.library.unt.edu/ark:/67531/metadc5367/
A Collapsing Result Using the Axiom of Determinancy and the Theory of Possible Cofinalities
Date: May 2001
Creator: May, Russell J.
Description: Assuming the axiom of determinacy, we give a new proof of the strong partition relation on ω1. Further, we present a streamlined proof that J<λ+(a) (the ideal of sets which force cof Π α < λ) is generated from J<λ+(a) by adding a singleton. Combining these results with a polarized partition relation on ω1
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Permallink:digital.library.unt.edu/ark:/67531/metadc2789/
Compact Operators and the Schrödinger Equation
Date: December 2006
Creator: Kazemi, Parimah
Description: In this thesis I look at the theory of compact operators in a general Hilbert space, as well as the inverse of the Hamiltonian operator in the specific case of L2[a,b]. I show that this inverse is a compact, positive, and bounded linear operator. Also the eigenfunctions of this operator form a basis for the space of continuous functions as a subspace of L2[a,b]. A numerical method is proposed to solve for these eigenfunctions when the Hamiltonian is considered as an operator on Rn. The paper finishes with a discussion of examples of Schrödinger equations and the solutions.
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Permallink:digital.library.unt.edu/ark:/67531/metadc5453/