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 Decade: 1950-1959
 Degree Discipline: Mathematics
 Collection: UNT Theses and Dissertations
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.
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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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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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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Quadratic Forms

Quadratic Forms

Date: June 1959
Creator: Cadenhead, Clarence Tandy
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.
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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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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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Random Variables of One Dimension

Random Variables of One Dimension

Date: August 1958
Creator: Casler, Burtis Griffin
Description: This thesis examines random variables of one dimension.
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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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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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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.
Contributing Partner: UNT Libraries
Infinite Matrices

Infinite Matrices

Date: August 1957
Creator: Smallwood, James D.
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.
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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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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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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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A Method for Approximating the Distributed Loads of an Airplane by Sets of Point Loads

A Method for Approximating the Distributed Loads of an Airplane by Sets of Point Loads

Date: 1957
Creator: Austin, Charles Wayne
Description: This paper gives the derivation of a method for determining the forces to be applied to these points which will simulate the load distributed over all the airplane.
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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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On Ordered Pairs of Cardinal Numbers

On Ordered Pairs of Cardinal Numbers

Date: 1957
Creator: Dickinson, John Dean
Description: This thesis is on ordered pairs of cardinal numbers.
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Random Sampling

Random Sampling

Date: January 1957
Creator: Booker, Aaron Hicks
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.
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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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Some Theorems and Product Spaces

Some Theorems and Product Spaces

Date: 1957
Creator: Bethel, Edward Lee
Description: This thesis is a study of some axioms and theorems, and product spaces.
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Electronic Analog Computer Study of Effects of Motor Velocity and Driving Voltage Limits upon Servomechanism Performance

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

Date: 1956
Creator: Haynes, Joe Preston
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.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
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