A Method for Approximating the Distributed Loads of an Airplane by Sets of Point Loads (open access)

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

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.
Date: 1957
Creator: Austin, Charles Wayne
System: The UNT Digital Library
Some Theorems and Product Spaces (open access)

Some Theorems and Product Spaces

This thesis is a study of some axioms and theorems, and product spaces.
Date: 1957
Creator: Bethel, Edward Lee
System: The UNT Digital Library
Metric Spaces (open access)

Metric Spaces

This thesis covers fundamental properties of metric spaces, as well as completeness, compactness, and separability of metric spaces.
Date: 1957
Creator: Bilyeu, Russell Gene
System: The UNT Digital Library
Random Sampling (open access)

Random Sampling

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
System: The UNT Digital Library
Abstract Measure (open access)

Abstract Measure

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
System: The UNT Digital Library
On Ordered Pairs of Cardinal Numbers (open access)

On Ordered Pairs of Cardinal Numbers

This thesis is on ordered pairs of cardinal numbers.
Date: 1957
Creator: Dickinson, John Dean
System: The UNT Digital Library
Some Fundamental Theorems on Infinite Products (open access)

Some Fundamental Theorems on Infinite Products

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.
System: The UNT Digital Library
Elements of Boolean Algebra Theory (open access)

Elements of Boolean Algebra Theory

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
System: The UNT Digital Library
Improper Integrals (open access)

Improper Integrals

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.
System: The UNT Digital Library
Linear and Planar Jordan Content (open access)

Linear and Planar Jordan Content

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.
System: The UNT Digital Library
Infinite Matrices (open access)

Infinite Matrices

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.
System: The UNT Digital Library