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 Decade: 1950-1959
 Degree Discipline: Mathematics
 Collection: UNT Theses and Dissertations
Convergence Tests for Infinite Series

Convergence Tests for Infinite Series

Date: 1950
Creator: Latimer, Philip W.
Description: The field of infinite series is so large that any investigation into that field must necessarily be limited to a particular phase. An attempt has been made to develop a number of tests having a wide range of applications. Particular emphasis has been placed on tests for series of positive terms.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
Semi-continuity and Related Properties

Semi-continuity and Related Properties

Date: 1950
Creator: Huggins, Frank N.
Description: The elementary notion of a function originated in the work of mathematicians of the seventeenth century, and was somewhat closely connected with investigations in the field of algebra. This paper will be concerned with an investigation of a generalized type of continuity known as semi-continuity.
Contributing Partner: UNT Libraries
The Riemann Definite Integral of a Bounded Real Function

The Riemann Definite Integral of a Bounded Real Function

Date: 1950
Creator: Hendrick, H. Wayne
Description: The object of this paper is to define, to establish necessary and sufficient conditions for the existence of, and to consider the elementary properties of the Riemann definite integral of a bounded function.
Contributing Partner: UNT Libraries
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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Some Properties of Derivatives

Some Properties of Derivatives

Date: 1951
Creator: Dibben, Philip W.
Description: This paper is concerned with certain properties of derivatives and some characterizations of linear point sets with derivatives. In 1946, Zygmunt Zahorski published a letter on this topic listing a number of theorems without proof, and no proof of these assertions has been published. Some of the theorems presented here are paraphrases of Zahorski's statements, developed in a slightly different order.
Contributing Partner: UNT Libraries
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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The Development of the Natural Numbers by Means of the Peano Postulates

The Development of the Natural Numbers by Means of the Peano Postulates

Date: 1951
Creator: Baugh, Orvil Lee
Description: This thesis covers the development of the natural numbers by means of the peano postulates.
Contributing Partner: UNT Libraries
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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The Analytical Development of the Trigonometric Functions

The Analytical Development of the Trigonometric Functions

Date: 1951
Creator: Mackey, Pearl Cherrington
Description: This thesis is a study of the analytical development of the trigonometric functions.
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Some Properties of a Lebesgue-Stieltjes Integral

Some Properties of a Lebesgue-Stieltjes Integral

Date: 1951
Creator: Dean, Lura C.
Description: It is the purpose of this paper to define a Lebesgue integral over a measurable set, the integration being performed with respect to a monotone non-decreasing function as in the Stieltjes integral, and to develop a few of the fundamental properties of such an integral.
Contributing Partner: UNT Libraries
Certain Properties of Functions Related to Exhaustibility

Certain Properties of Functions Related to Exhaustibility

Date: 1952
Creator: Bradford, James C.
Description: In this thesis, we shall attempt to present a study of certain properties of real functions related to the set property exhaustible.
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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.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
A Development of the Exponential and Logarithmic Functions

A Development of the Exponential and Logarithmic Functions

Date: 1953
Creator: Mackey, Benford B.
Description: This thesis discusses a development of the exponential and logarithmic functions.
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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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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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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.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
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
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.
Contributing Partner: UNT Libraries
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