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 Decade: 1950-1959
 Degree Discipline: Mathematics
 Collection: UNT Theses and Dissertations
Some Generalizations in the Theory of Summable Series

Some Generalizations in the Theory of Summable Series

Date: August 1950
Creator: Penner, Jimmie G.
Description: It will be our purpose to study a generalized definition of sum of a series and the restrictions which must be placed upon it in order that it shall satisfy the generally accepted requirements of any generalized definition of sum of a series. We shall then proceed to investigate the possibilities of further generalizing this process.
Contributing Partner: UNT Libraries
Some Properties of Dini Derivatives

Some Properties of Dini Derivatives

Date: August 1953
Creator: Pinkerton, Jane W.
Description: The purpose of this paper is to derive certain of the fundamental properties of the Dini derivatives of an arbitrary real function. To this end it will be necessary to investigate the properties of the limits superior and inferior of real functions and to prove the Vitali Covering Theorem as well as a fundamental theorem on the metric density of arbitrary point sets.
Contributing Partner: UNT Libraries
A Development of a Set of Functions Analogous to the Trigonometric and the Hyperbolic Functions

A Development of a Set of Functions Analogous to the Trigonometric and the Hyperbolic Functions

Date: August 1954
Creator: Allen, Alfred I.
Description: The purpose of this paper is to define and develop a set of functions of an area in such a manner as to be analogous to the trigonometric and the hyperbolic functions.
Contributing Partner: UNT Libraries
Some Properties of the Perron Integral

Some Properties of the Perron Integral

Date: June 1955
Creator: McWhorter, Bobby J.
Description: The purpose of this thesis is to restate the definition of the integral as given by O. Perron, to establish some of the fundamental properties of the Perron integral, and to prove the equivalence between the Perron and Lebesgue integrals in the bounded case.
Contributing Partner: UNT Libraries
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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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.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
Some Results of Two Topological Spaces

Some Results of Two Topological Spaces

Date: August 1955
Creator: Boyd, James Robert
Description: This thesis explores some results of two topological spaces.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
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