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 Decade: 1950-1959
 Degree Discipline: Mathematics
 Collection: UNT Theses and Dissertations
Exhaustibility and Related Set Properties

Exhaustibility and Related Set Properties

Date: 1950
Creator: Cargal, Buchanan
Description: The purpose of this paper is to develop certain fundamental properties of exhaustible sets and their complements and to examine various set properties which are generalizations, with respect to exhaustible neglect, or well-known set properties.
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Fundamental Properties of Fourier Series

Fundamental Properties of Fourier Series

Date: August 1954
Creator: Hubbard, Geogre U.
Description: This thesis is intended as an introduction to the study of one type of trigonometric series, the Fourier series.
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L'Hospital's Rule

L'Hospital's Rule

Date: 1950
Creator: Spidell, William H.
Description: The purpose of this paper is to present proofs for six cases of L'Hospital's Rule for the evaluation of indeterminate forms. It is also a purpose to reduce to one of these six cases some other indeterminate forms to which L'Hospital's Rule is applicable. In the course of presenting these proofs several theorems and definitions will be used without proof.
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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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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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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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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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The Lebesgue and Equivalent Integrals

The Lebesgue and Equivalent Integrals

Date: August 1954
Creator: Lewis, Leslie L.
Description: The purpose of this thesis is to present a study of the Lebesgue definite integral, defined in four different ways.
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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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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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Means and Mean Value Theorems

Means and Mean Value Theorems

Date: 1951
Creator: Blummer, Raymond O.
Description: This study covers means, mean value theorems of the differential calculus, and mean value theorems of integral calculus.
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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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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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The Moore-Smith Limit

The Moore-Smith Limit

Date: 1952
Creator: Alexander, Donnie B.
Description: It is the purpose of this thesis to indicate in more detail how various limits defined in analysis, as well as other concepts not ordinarily defined as limits, may be obtained as special cases of the Moore-Smith limit.
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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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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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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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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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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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Planar Lebesgue Measure

Planar Lebesgue Measure

Date: 1950
Creator: Martin, Nat G.
Description: This thesis attempts to prove the Lebesgue measure is a concrete realization of measure.
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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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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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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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