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[Photograph of Dr. H. C. Parrish]

Description: Photograph of Dr. H. C. Parrish of the North Texas Math Department. He sits at a desk, and looks toward the camera. A shelf of cubbies can be seen in the background.
Date: unknown
Item Type: Photograph
Partner: UNT Libraries Special Collections

[Photograph of Dr. H. C. Parrish]

Description: Photograph of Dr. H. C. Parrish of the North Texas Math Department. He wears a suit and tie, and sits on a stool in front of a pegboard.
Date: unknown
Item Type: Photograph
Partner: UNT Libraries Special Collections

Two Axiomatic Definitions of the Natural Numbers

Description: The purpose of this thesis is to present an axiomatic foundation for the development of the natural numbers from two points of view. It makes no claim at originality other than at the point of organization and presentation of previously developed works.
Date: June 1970
Creator: Rhoads, Lana Sue
Partner: UNT Libraries

Some Fundamental Properties of Valuations Defined on a Field

Description: The purpose of this thesis is to develop some properties of a special class of functions called valuations. The study begins with and examination of the properties of valuations defined on an arbitrary field, F, and later, consideration is given to valuations defined on the field of rational numbers. The concept of a pseud-valuation is introduced and an investigation is made of the properties of pseudo-valuations.
Date: January 1969
Creator: Doerr, James C.
Partner: UNT Libraries

A Genesis for Compact Convex Sets

Description: This paper was written in response to the following question: what conditions are sufficient to guarantee that if a compact subset A of a topological linear space L^3 is not convex, then for every point x belonging to the complement of A relative to the convex hull of A there exists a line segment yz such that x belongs to yz and y belongs to A and z belongs to A? Restated in the terminology of this paper the question bay be given as follow: what conditions may be imposed upon a compact subset A of L^3 to insure that A is braced?
Date: May 1969
Creator: Ferguson, Ronald D.
Partner: UNT Libraries

Some Fundamental Properties of Categories

Description: This paper establishes a basis for abelian categories, then gives the statement and proof of two equivalent definitions of an abelian category, the development of the basic theory of such categories, and the proof of some theorems involving this basic theory.
Date: June 1968
Creator: Gardner, Harold L.
Partner: UNT Libraries

Separation Properties

Description: The problem with which this paper is concerned is that of investigating a class of topological properties commonly called separation properties. A topological space which satisfies only the definition may be very limited in open sets. By use of the separation properties, specific families of open sets can be guaranteed.
Date: December 1970
Creator: Garvin, Billy Ray
Partner: UNT Libraries

Some Properties of Ideals in a Commutative Ring

Description: This thesis exhibits a collection of proofs of theorems on ideals in a commutative ring with and without a unity. Theorems treated involve properties of ideals under certain operations (sum, product, quotient, intersection, and union); properties of homomorphic mappings of ideals; contraction and extension theorems concerning ideals and quotient rings of domains with respect to multiplicative systems; properties of maximal, minimal, prime, semi-prime, and primary ideals; properties of radicals of ideals with relations to quotient rings, semi-prime, and primary ideals.
Date: August 1973
Creator: Hicks, Gary B.
Partner: UNT Libraries

Regular Semigroups

Description: This thesis describes semigroups and the properties of both regular and inverse semigroups.
Date: August 1967
Creator: Penn, Howard L.
Partner: UNT Libraries

On Lane's Integral

Description: The problem and purpose of this paper is to develop Lane's Integral in two-space, and then to expand these concepts into three-space and n-space. Lane's Integral can be used by both mathematicians and statisticians as one of the tools in the calculation of certain probabilities and expectations. The method of presentation is straightforward with the basic concepts of integration theory and Stieltjes Integral assumed.
Date: August 1971
Creator: Hill, William James
Partner: UNT Libraries

Some Properties of Valuation Rings

Description: This thesis investigates some of the properties of valuation rings. It is assumed that the reader is familiar with the basic properties of commutative rings and ideals in rings. Unless otherwise stated, all rings considered in this thesis are commutative rings with a unity.
Date: August 1971
Creator: Miller, Linda C.
Partner: UNT Libraries

Semitopological Groups

Description: This thesis is a study of semitopological groups, a similar but weaker notion than that of topological groups. It is shown that all topological groups are semitopological groups but that the converse is not true. This thesis investigates some of the conditions under which semitopological groups are, in fact, topological groups. It is assumed that the reader is familiar with basic group theory and topology.
Date: December 1971
Creator: Scroggs, Jack David
Partner: UNT Libraries

Uniform Locally Compact Spaces

Description: The purpose of this paper is to develop some properties of uniformly locally compact spaces. The terminology and symbology used are the same as those used in General Topology, by J. L. Kelley.
Date: December 1971
Creator: Page, Perman Hutson
Partner: UNT Libraries

Some Properties of the Fibonacci Numbers

Description: This thesis is presented as an introduction to the Fibonacci sequence of integers. It is hoped that this thesis will create in the reader more interest in this type of sequence and especially the Fibonacci sequence. It seems that this particular area of mathematics is often ignored in the classroom or touched upon far too briefly to stimulate curiosity and develop further interest in this field.
Date: June 1967
Creator: Willey, Wm. Riley
Partner: UNT Libraries

A Study of Functions on Metric Spaces

Description: This thesis describes various forms of metric spaces and establishes some of the properties of functions defined on metric spaces. No attempt is made in this paper to examine a particular type of function in detail. Instead, some of properties of several kinds of functions will be observed as the functions are defined on various forms of metric spaces such as connected spaces, compact spaces, complete spaces, etc.
Date: January 1968
Creator: Brice, Richard S.
Partner: UNT Libraries

Sume calculabile prin serii de puteri

Description: This article investigates an efficient way of evaluating sums and series, based on a result of Abel applied to associated power series.
Date: 2004
Creator: Anghel, Nicolae
Item Type: Article
Partner: UNT College of Arts and Sciences