Two Axiomatic Definitions of the Natural Numbers

Two Axiomatic Definitions of the Natural Numbers

Date: June 1970
Creator: Rhoads, Lana Sue
Description: The purpose of this thesis is to present an axiomatic foundation for the development of the natural numbers from two points of view. It makes no claim at originality other than at the point of organization and presentation of previously developed works.
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Some Properties of Topological Spaces

Some Properties of Topological Spaces

Date: August 1968
Creator: Smith, Bayard M., Jr.
Description: This thesis presents a development of some useful concepts concerning topological spaces. Most of the theorems given apply to the most general form of topological space.
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Preparation of 4-Amino-3-Hydrazino-5-Methyl-s-Triazole Dihydrochloride and Condensation Products

Preparation of 4-Amino-3-Hydrazino-5-Methyl-s-Triazole Dihydrochloride and Condensation Products

Date: August 1965
Creator: Westmoreland, Thomas D.
Description: The procedure of Takimoto, Denault, and Hotta was followed in order to prepare 4-amino-3-hydrazino-5-methyl-s-triazole hydrochloride (II) and its precursor, triamino-guanidine hydrochloride (I).
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Some Properties of the Perron Integral

Some Properties of the Perron Integral

Date: June 1955
Creator: McWhorter, Bobby J.
Description: The purpose of this thesis is to restate the definition of the integral as given by O. Perron, to establish some of the fundamental properties of the Perron integral, and to prove the equivalence between the Perron and Lebesgue integrals in the bounded case.
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Some Results of Two Topological Spaces

Some Results of Two Topological Spaces

Date: August 1955
Creator: Boyd, James Robert
Description: This thesis explores some results of two topological spaces.
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Some Diophantine Equations

Some Diophantine Equations

Date: January 1960
Creator: Pressly, Kirby Smith
Description: This paper will be devoted to an examination of several general and specific equations and systems of equations of the diophantine type. Only algebraic equations with integral coefficients, not all zero, will considered. The elementary properties of the integers will be assumed.
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Topological Groups

Topological Groups

Date: May 1960
Creator: Carry, Laroy Ray
Description: The notion of a topological group follows naturally from a combination of the properties of a group and a topological space. Since a group consists of a set G of elements which may be either finite or infinite and since this is also common to a topological space, a question is opened as to whether or not it is possible to assign a topology to a set of elements which form a group under a certain operation. Now it is possible to assign a topology to any set of elements if no restriction is placed on the topology assigned and hence this study would be of little value from the standpoint of the group itself. If however it is required that the group operation be continuous in the topological space then a very interesting theory is developed.
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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.
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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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Theory of Congruences

Theory of Congruences

Date: June 1961
Creator: Green, Harold Rugby
Description: This thesis presents a series of theorems along with proofs to establish a theory of congruences.
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