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  Partner: UNT Libraries
 Department: Department of Mathematics
 Collection: UNT Theses and Dissertations
Finite Dimensional Vector Space

Finite Dimensional Vector Space

Date: August 1960
Creator: Power, Billy Joe
Description: The object of this thesis is to examine properties of an abstract vector space of finite dimension n. The properties of the set of complex numbers are assumed, and the definition of a field and of an abelian group are not stated, although reference to these systems is made.
Contributing Partner: UNT Libraries
Fundamental Properties of the Contingent

Fundamental Properties of the Contingent

Date: August 1960
Creator: Haggard, Paul W.
Description: This thesis explores the fundamental properties of the contingent.
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A Set of Axioms for a Topological Space

A Set of Axioms for a Topological Space

Date: August 1960
Creator: Batcha, Joseph Patrick
Description: Axioms for a topological space are generally based on neighborhoods where "neighborhood" is an undefined term. Then, limit points are defined in terms of neighborhoods. However, limit points seem to be the basic concept of a topological space, rather than neighborhoods. For this reason, it will be attempted to state a set of axioms for a topological space, using limit point as the undefined concept, and to delete the idea of neighborhoods from the theory.
Contributing Partner: UNT Libraries
Properties of Commutators

Properties of Commutators

Date: August 1959
Creator: Roach, Merle Dean
Description: This paper is a study of the properties of commutators, and deals exclusively with finite groups.
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On Continuity of Functions Defined on Unrestricted Point Sets

On Continuity of Functions Defined on Unrestricted Point Sets

Date: August 1958
Creator: Wilson, Ural
Description: This thesis is concerned with an investigation of the generalizations of continuous real functions of a real variable. In particular, the relationship between uniform continuity and ordinary continuity is concerned. The concept of uniform continuity was first introduced by Heine about 1900.
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Linear Order

Linear Order

Date: August 1959
Creator: Gipson, John Samuel
Description: This paper will be concerned with some fundamental properties of a line. In particular, fundamental ordering properties of a line segment are covered.
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The Ultraspherical Polynomials

The Ultraspherical Polynomials

Date: August 1959
Creator: Moore, John Bowman
Description: This study involves the ultraspherical polynomials, the Legendre polynomials, the Tchebichef polynomials of the first kind, and the Tchebichef polynomials of the second kind.
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Atmospheric Gusts and Their Effect on Aircraft

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.
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Stieljes Integral and Related Topics

Stieljes Integral and Related Topics

Date: August 1958
Creator: Willis, Charles L.
Description: The principal purpose of this paper is to develop the properties of Riemann-Stieljes Integrals. Consequently, a knowledge of the terminology and theory of point sets and functions of real variables shall be assumed.
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Introduction to the Theory of Games

Introduction to the Theory of Games

Date: June 1959
Creator: Taylor, James Lyle
Description: The purpose of this thesis is to provide a beginning graduate student in mathematics with the general theory underlying competition between rational, intelligent opponents. This competition can be described as a game of opposing strategies; hence, the name game theory.
Contributing Partner: UNT Libraries