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 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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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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On Uniform Convergence

On Uniform Convergence

Date: 1951
Creator: Drew, Dan Dale
Description: In this paper, we will be concerned primarily with series of functions and a particular type of convergence which will be described. The purpose of this paper is to familiarize the reader with the concept of uniform convergence. In the main it is a compilation of material found in various references and revised to conform to standard notation.
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A Theorem on the Convergence of a Continued Fraction

A Theorem on the Convergence of a Continued Fraction

Date: 1953
Creator: Kostelec, John C.
Description: This thesis discusses a theorem on the convergence of a continued fraction.
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Metric Spaces

Metric Spaces

Date: 1957
Creator: Bilyeu, Russell Gene
Description: This thesis covers fundamental properties of metric spaces, as well as completeness, compactness, and separability of metric spaces.
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Elements of Boolean Algebra Theory

Elements of Boolean Algebra Theory

Date: 1957
Creator: Harvill, John Bowman
Description: The primary purpose of this paper is to state a set of postulates for Boolean algebra and show the characteristic theorems derivable from them, and to unify in one paper the more important methods of representing Boolean algebra and show their equivalence.
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Some Fundamental Theorems on Infinite Products

Some Fundamental Theorems on Infinite Products

Date: 1957
Creator: Gonzalez, Genaro B.
Description: Since infinite products are seldom encountered in elementary mathematics, it is the purpose of this paper to familiarize the reader with their concept and properties. In the main, it is the compilation of material found in various references and revised to conform to standard notation.
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Mechanization of Aircraft Performance

Mechanization of Aircraft Performance

Date: 1956
Creator: Cotten, Frances Patterson
Description: The purpose of this paper is to describe the mechanization of the basic equations of motion for the performance and maneuver characteristics of an airplane with some simplifications which render solutions more practicable. The results of a study made to program these equations for calculation by the IBM MODEL 650 digital computer are presented as well as the steps to be taken in using this method of calculation.
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Solutions of Algebraic Equations

Solutions of Algebraic Equations

Date: 1956
Creator: Voyles, Gilbert E.
Description: It is the object of this paper to present a method for finding the roots of any algebraic equation.
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Investigation of the Possible Application of High and Low Frequency Conductance Measurements to the Analysis of Poly-Component Systems

Investigation of the Possible Application of High and Low Frequency Conductance Measurements to the Analysis of Poly-Component Systems

Date: 1956
Creator: Pinkerton, K. Allan
Description: The immediate goal of this thesis was the analysis of a three-component system whose major component was water. This analysis was to be the result of a procedure which could be readily extended to more complex systems.
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Orthogonal Functions

Orthogonal Functions

Date: 1956
Creator: Harrison, Ivan
Description: In this study the idea of orthogonality of two lines will be generalized to the idea of orthogonality of two functions. In particular, the orthogonality of two lines may be treated from the standpoint of the orthogonality of two vectors in two-dimensional space.
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Abstract Measure

Abstract Measure

Date: 1957
Creator: Bridges, Robert Miller
Description: This study of abstract measure covers classes of sets, measures and outer measures, extension of measures, and planer measure.
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A Numerical Method for the Calculation of the Inertial Loads on an Airplane

A Numerical Method for the Calculation of the Inertial Loads on an Airplane

Date: 1958
Creator: Williams, Glen R.
Description: This paper is an extension of various projects that the writer has been associated with at Chance Vought Aircraft, Incorporated.
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Improper Integrals

Improper Integrals

Date: 1957
Creator: Hildebrand, Shelby K.
Description: In this paper a definitions shall be given for different types of improper integrals and several theorems concerning them shall be proved.
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Linear and Planar Jordan Content

Linear and Planar Jordan Content

Date: 1957
Creator: Hodge, James E.
Description: This paper considers the concept of inner and outer content, which was introduced by Camille Jordan and Giuseppe Peano near the end of the nineteenth century.
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An Investigation of Points About the Circle of Convergence

An Investigation of Points About the Circle of Convergence

Date: 1958
Creator: Gray, Brucy Clothus
Description: This paper will be concerned with the convergence of complex power series.
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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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Some Amine Derivatives of 1,4-naphthoquinone

Some Amine Derivatives of 1,4-naphthoquinone

Date: August 1959
Creator: Cunningham, Robert Gipson
Description: It was the aim of this investigation to prepare derivatives of 1,4-naphthoquinone substituted at the 2- and 3- positions with various amino groups. 2,3-Dichloro-1,4-naphthoquinone was selected as the starting material because of the possibility of replacing the chloro groups in direct substitution reactions with amines.
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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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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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