UNT Theses and Dissertations - 49 Matching Results

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Some Generalizations in the Theory of Summable Series

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.
Date: August 1950
Creator: Penner, Jimmie G.
Partner: UNT Libraries

Some Properties of Dini Derivatives

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.
Date: August 1953
Creator: Pinkerton, Jane W.
Partner: UNT Libraries

Random Sampling

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.
Date: January 1957
Creator: Booker, Aaron Hicks
Partner: UNT Libraries

Infinite Matrices

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.
Date: August 1957
Creator: Smallwood, James D.
Partner: UNT Libraries

The Moore-Smith Limit

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.
Date: 1952
Creator: Alexander, Donnie B.
Partner: UNT Libraries

Quadratic Forms

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.
Date: June 1959
Creator: Cadenhead, Clarence Tandy
Partner: UNT Libraries

Introduction to the Theory of Games

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.
Date: June 1959
Creator: Taylor, James Lyle
Partner: UNT Libraries