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 Decade: 1950-1959
 Year: 1957
 Degree Discipline: Mathematics
 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.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
Improper Integrals

Improper Integrals

Date: 1957
Creator: Hildebrand, Shelby K.
Description: In this paper a definitions shall be given for different types of improper integrals and several theorems concerning them shall be proved.
Contributing Partner: UNT Libraries
Infinite Matrices

Infinite Matrices

Date: August 1957
Creator: Smallwood, James D.
Description: 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.
Contributing Partner: UNT Libraries
Linear and Planar Jordan Content

Linear and Planar Jordan Content

Date: 1957
Creator: Hodge, James E.
Description: This paper considers the concept of inner and outer content, which was introduced by Camille Jordan and Giuseppe Peano near the end of the nineteenth century.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
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.
Contributing Partner: UNT Libraries
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