Degree Department
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Some Generalizations in the Theory of Summable Series
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.
System:
The UNT Digital Library
Some Properties of Dini Derivatives
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.
System:
The UNT Digital Library
A Development of a Set of Functions Analogous to the Trigonometric and the Hyperbolic Functions
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.
Date:
August 1954
Creator:
Allen, Alfred I.
System:
The UNT Digital Library
Fundamental Properties of Fourier Series
This thesis is intended as an introduction to the study of one type of trigonometric series, the Fourier series.
Date:
August 1954
Creator:
Hubbard, Geogre U.
System:
The UNT Digital Library
The Lebesgue and Equivalent Integrals
The purpose of this thesis is to present a study of the Lebesgue definite integral, defined in four different ways.
Date:
August 1954
Creator:
Lewis, Leslie L.
System:
The UNT Digital Library
Some Results of Two Topological Spaces
This thesis explores some results of two topological spaces.
Date:
August 1955
Creator:
Boyd, James Robert
System:
The UNT Digital Library
Infinite Matrices
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.
System:
The UNT Digital Library
Atmospheric Gusts and Their Effect on Aircraft
This thesis investigates atmospheric gusts and their effect on aircraft.
Date:
August 1958
Creator:
Walling, Waunnetta Keene
System:
The UNT Digital Library
On Continuity of Functions Defined on Unrestricted Point Sets
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
System:
The UNT Digital Library
Random Variables of One Dimension
This thesis examines random variables of one dimension.
Date:
August 1958
Creator:
Casler, Burtis Griffin
System:
The UNT Digital Library
Stieljes Integral and Related Topics
The principal purpose of this paper is to develop the properties of Riemann-Stieljes Integrals. Consequently, a knowledge of the terminology and theory of point sets and functions of real variables shall be assumed.
Date:
August 1958
Creator:
Willis, Charles L.
System:
The UNT Digital Library
Linear Order
This paper will be concerned with some fundamental properties of a line. In particular, fundamental ordering properties of a line segment are covered.
Date:
August 1959
Creator:
Gipson, John Samuel
System:
The UNT Digital Library
Properties of Commutators
This paper is a study of the properties of commutators, and deals exclusively with finite groups.
Date:
August 1959
Creator:
Roach, Merle Dean
System:
The UNT Digital Library
The Ultraspherical Polynomials
This study involves the ultraspherical polynomials, the Legendre polynomials, the Tchebichef polynomials of the first kind, and the Tchebichef polynomials of the second kind.
Date:
August 1959
Creator:
Moore, John Bowman
System:
The UNT Digital Library