UNT Theses and Dissertations - Browse

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Linear Order

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

The Ultraspherical Polynomials

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.
Date: August 1959
Creator: Moore, John Bowman
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Introduction to the Theory of Games

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.
Date: June 1959
Creator: Taylor, James Lyle
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Quadratic Forms

Description: This paper shall be mostly concerned with the development and the properties of three quadratic polynomials. The primary interest will by with n-ary quadratic polynomials, called forms.
Date: June 1959
Creator: Cadenhead, Clarence Tandy
Partner: UNT Libraries

On Continuity of Functions Defined on Unrestricted Point Sets

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.
Date: August 1958
Creator: Wilson, Ural
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Stieljes Integral and Related Topics

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.
Date: August 1958
Creator: Willis, Charles L.
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Infinite Matrices

Description: This paper will be mostly concerned with matrices of infinite order with elements which lie in Hilbert Space. All the properties of real and complex numbers and all the properties of infinite series and infinite sequences that are not listed will be assumed.
Date: August 1957
Creator: Smallwood, James D.
Partner: UNT Libraries

Abstract Measure

Description: This study of abstract measure covers classes of sets, measures and outer measures, extension of measures, and planer measure.
Date: 1957
Creator: Bridges, Robert Miller
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Elements of Boolean Algebra Theory

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.
Date: 1957
Creator: Harvill, John Bowman
Partner: UNT Libraries

Improper Integrals

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

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.
Date: 1957
Creator: Hodge, James E.
Partner: UNT Libraries

Metric Spaces

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

Description: The purpose of this study is to show the use of random sampling in solving certain mathematical problems. The origin of random numbers to be used in sampling is discussed and methods of sampling from known distributions are then given together with an indication that the sampling procedures are unbiased.
Date: January 1957
Creator: Booker, Aaron Hicks
Partner: UNT Libraries

Some Fundamental Theorems on Infinite Products

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.
Date: 1957
Creator: Gonzalez, Genaro B.
Partner: UNT Libraries

Electronic Analog Computer Study of Effects of Motor Velocity and Driving Voltage Limits upon Servomechanism Performance

Description: The object of this thesis is (1) to demonstrate the value of an electronic analog computer for the solution of non-linear ordinary differential equations particularly when a large family of solutions is required; and (2) to obtain as a by-product results of practical applicability to servomechanism selection and analysis.
Date: 1956
Creator: Haynes, Joe Preston
Partner: UNT Libraries

Mechanization of Aircraft Performance

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.
Date: 1956
Creator: Cotten, Frances Patterson
Partner: UNT Libraries