UNT Theses and Dissertations - Browse

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Mechanization of Aircraft Performance

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.
Date: 1956
Creator: Cotten, Frances Patterson
Partner: UNT Libraries

Metric Spaces

Description: This thesis covers fundamental properties of metric spaces, as well as completeness, compactness, and separability of metric spaces.
Date: 1957
Creator: Bilyeu, Russell Gene
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

On Continuity of Functions Defined on Unrestricted Point Sets

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.
Date: August 1958
Creator: Wilson, Ural
Partner: UNT Libraries

On Uniform Convergence

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.
Date: 1951
Creator: Drew, Dan Dale
Partner: UNT Libraries

Orthogonal Functions

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.
Date: 1956
Creator: Harrison, Ivan
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

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

Semi-continuity and Related Properties

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.
Date: 1950
Creator: Huggins, Frank N.
Partner: UNT Libraries

Some Fundamental Theorems on Infinite Products

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.
Date: 1957
Creator: Gonzalez, Genaro B.
Partner: UNT Libraries

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 a Lebesgue-Stieltjes Integral

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.
Date: 1951
Creator: Dean, Lura C.
Partner: UNT Libraries

Some Properties of Derivatives

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.
Date: 1951
Creator: Dibben, Philip W.
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

Some Properties of the Perron Integral

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.
Date: June 1955
Creator: McWhorter, Bobby J.
Partner: UNT Libraries