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open access

Abstract Measure

Description: This study of abstract measure covers classes of sets, measures and outer measures, extension of measures, and planer measure.
Date: 1957
Creator: Bridges, Robert Miller
open access

Elements of Boolean Algebra Theory

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.
Date: 1957
Creator: Harvill, John Bowman
open access

Improper Integrals

Description: In this paper a definitions shall be given for different types of improper integrals and several theorems concerning them shall be proved.
Date: 1957
Creator: Hildebrand, Shelby K.
open access

Linear and Planar Jordan Content

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.
Date: 1957
Creator: Hodge, James E.
open access

Metric Spaces

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

Random Sampling

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.
Date: January 1957
Creator: Booker, Aaron Hicks
open access

Some Fundamental Theorems on Infinite Products

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.
Date: 1957
Creator: Gonzalez, Genaro B.
open access

Infinite Matrices

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.
Date: August 1957
Creator: Smallwood, James D.
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