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