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  Partner: UNT Libraries
 Language: English
 Degree Discipline: Mathematics
 Degree Level: Master's
 Collection: UNT Theses and Dissertations
Abstract Measure

Abstract Measure

Date: 1957
Creator: Bridges, Robert Miller
Description: This study of abstract measure covers classes of sets, measures and outer measures, extension of measures, and planer measure.
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Abstract Vector Spaces and Certain Related Systems

Abstract Vector Spaces and Certain Related Systems

Date: August 1961
Creator: Goddard, Alton Ray
Description: The purpose of this paper is to make a detailed study of vector spaces and a certain vector-like system.
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Additive Functions

Additive Functions

Date: June 1963
Creator: McNeir, Ridge W.
Description: The purpose of this paper is the analysis of functions of real numbers which have a special additive property, namely, f(x+y) = f(x)+f(y).
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Algebraic Integers

Algebraic Integers

Date: August 1969
Creator: Black, Alvin M.
Description: The primary purpose of this thesis is to give a substantial generalization of the set of integers Z, where particular emphasis is given to number theoretic questions such as that of unique factorization. The origin of the thesis came from a study of a special case of generalized integers called the Gaussian Integers, namely the set of all complex numbers in the form n + mi, for m,n in Z. The main generalization involves what are called algebraic integers.
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Algebraic Properties of Semigroups

Algebraic Properties of Semigroups

Date: May 1971
Creator: Lumley, Robert Don
Description: This paper is an algebraic study of selected properties of semigroups. Since a semigroup is a result of weakening the group axioms, all groups are semigroups. One facet of the paper is to demonstrate various semigroup properties that induce the group axioms.
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A*-algebras and Minimal Ideals in Topological Rings

A*-algebras and Minimal Ideals in Topological Rings

Date: May 1973
Creator: Wei, Jui-Hung
Description: The present thesis mainly concerns B*-algebras, A*-algebras, and minimal ideals in topological rings.
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The Analogues for t-Continuity of Certain Theorems on Ordinary Continuity

The Analogues for t-Continuity of Certain Theorems on Ordinary Continuity

Date: 1941
Creator: Parrish, Herbert C.
Description: This study investigates the relationship between ordinary continuity and t-continuity.
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The Analytical Development of the Trigonometric Functions

The Analytical Development of the Trigonometric Functions

Date: 1951
Creator: Mackey, Pearl Cherrington
Description: This thesis is a study of the analytical development of the trigonometric functions.
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Applications in Fixed Point Theory

Applications in Fixed Point Theory

Date: December 2005
Creator: Farmer, Matthew Ray
Description: Banach's contraction principle is probably one of the most important theorems in fixed point theory. It has been used to develop much of the rest of fixed point theory. Another key result in the field is a theorem due to Browder, Göhde, and Kirk involving Hilbert spaces and nonexpansive mappings. Several applications of Banach's contraction principle are made. Some of these applications involve obtaining new metrics on a space, forcing a continuous map to have a fixed point, and using conditions on the boundary of a closed ball in a Banach space to obtain a fixed point. Finally, a development of the theorem due to Browder et al. is given with Hilbert spaces replaced by uniformly convex Banach spaces.
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An Approximate Solution to the Dirichlet Problem

An Approximate Solution to the Dirichlet Problem

Date: August 1964
Creator: Redwine, Edward William
Description: In the category of mathematics called partial differential equations there is a particular type of problem called the Dirichlet problem. Proof is given in many partial differential equation books that every Dirichlet problem has one and only one solution. The explicit solution is very often not easily determined, so that a method for approximating the solution at certain points becomes desirable. The purpose of this paper is to present and investigate one such method.
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