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  Partner: UNT Libraries
 Decade: 1950-1959
 Degree Discipline: Mathematics
 Collection: UNT Theses and Dissertations
The Moore-Smith Limit

The Moore-Smith Limit

Date: 1952
Creator: Alexander, Donnie B.
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.
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A Development of a Set of Functions Analogous to the Trigonometric and the Hyperbolic Functions

A Development of a Set of Functions Analogous to the Trigonometric and the Hyperbolic Functions

Date: August 1954
Creator: Allen, Alfred I.
Description: 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.
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A Method for Approximating the Distributed Loads of an Airplane by Sets of Point Loads

A Method for Approximating the Distributed Loads of an Airplane by Sets of Point Loads

Date: 1957
Creator: Austin, Charles Wayne
Description: This paper gives the derivation of a method for determining the forces to be applied to these points which will simulate the load distributed over all the airplane.
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The Development of the Natural Numbers by Means of the Peano Postulates

The Development of the Natural Numbers by Means of the Peano Postulates

Date: 1951
Creator: Baugh, Orvil Lee
Description: This thesis covers the development of the natural numbers by means of the peano postulates.
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Some Theorems and Product Spaces

Some Theorems and Product Spaces

Date: 1957
Creator: Bethel, Edward Lee
Description: This thesis is a study of some axioms and theorems, and product spaces.
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Metric Spaces

Metric Spaces

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

Means and Mean Value Theorems

Date: 1951
Creator: Blummer, Raymond O.
Description: This study covers means, mean value theorems of the differential calculus, and mean value theorems of integral calculus.
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Random Sampling

Random Sampling

Date: January 1957
Creator: Booker, Aaron Hicks
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.
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Some Results of Two Topological Spaces

Some Results of Two Topological Spaces

Date: August 1955
Creator: Boyd, James Robert
Description: This thesis explores some results of two topological spaces.
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Certain Properties of Functions Related to Exhaustibility

Certain Properties of Functions Related to Exhaustibility

Date: 1952
Creator: Bradford, James C.
Description: In this thesis, we shall attempt to present a study of certain properties of real functions related to the set property exhaustible.
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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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Quadratic Forms

Quadratic Forms

Date: June 1959
Creator: Cadenhead, Clarence Tandy
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.
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Exhaustibility and Related Set Properties

Exhaustibility and Related Set Properties

Date: 1950
Creator: Cargal, Buchanan
Description: The purpose of this paper is to develop certain fundamental properties of exhaustible sets and their complements and to examine various set properties which are generalizations, with respect to exhaustible neglect, or well-known set properties.
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Random Variables of One Dimension

Random Variables of One Dimension

Date: August 1958
Creator: Casler, Burtis Griffin
Description: This thesis examines random variables of one dimension.
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Mechanization of Aircraft Performance

Mechanization of Aircraft Performance

Date: 1956
Creator: Cotten, Frances Patterson
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.
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Some Properties of a Lebesgue-Stieltjes Integral

Some Properties of a Lebesgue-Stieltjes Integral

Date: 1951
Creator: Dean, Lura C.
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.
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Some Properties of Derivatives

Some Properties of Derivatives

Date: 1951
Creator: Dibben, Philip W.
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.
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On Ordered Pairs of Cardinal Numbers

On Ordered Pairs of Cardinal Numbers

Date: 1957
Creator: Dickinson, John Dean
Description: This thesis is on ordered pairs of cardinal numbers.
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On Uniform Convergence

On Uniform Convergence

Date: 1951
Creator: Drew, Dan Dale
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.
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Linear Order

Linear Order

Date: August 1959
Creator: Gipson, John Samuel
Description: This paper will be concerned with some fundamental properties of a line. In particular, fundamental ordering properties of a line segment are covered.
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Some Fundamental Theorems on Infinite Products

Some Fundamental Theorems on Infinite Products

Date: 1957
Creator: Gonzalez, Genaro B.
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.
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An Investigation of Points About the Circle of Convergence

An Investigation of Points About the Circle of Convergence

Date: 1958
Creator: Gray, Brucy Clothus
Description: This paper will be concerned with the convergence of complex power series.
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Orthogonal Functions

Orthogonal Functions

Date: 1956
Creator: Harrison, Ivan
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.
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Elements of Boolean Algebra Theory

Elements of Boolean Algebra Theory

Date: 1957
Creator: Harvill, John Bowman
Description: The primary purpose of this paper is to state a set of postulates for Boolean algebra and show the characteristic theorems derivable from them, and to unify in one paper the more important methods of representing Boolean algebra and show their equivalence.
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