Linear Algebras (open access)

Linear Algebras

This paper is primarily concerned with the fundamental properties of a linear algebra of finite order over a field. A discussion of linear sets of finite order over a field is used as an introduction to these properties.
Date: August 1961
Creator: Smith, Nickie Lee
System: The UNT Digital Library
Abstract Vector Spaces and Certain Related Systems (open access)

Abstract Vector Spaces and Certain Related Systems

The purpose of this paper is to make a detailed study of vector spaces and a certain vector-like system.
Date: August 1961
Creator: Goddard, Alton Ray
System: The UNT Digital Library
On Envelopes and Extraneous Loci of Differential Equations of Order One and Higher Degree (open access)

On Envelopes and Extraneous Loci of Differential Equations of Order One and Higher Degree

The purpose of this paper is to examine the properties of the envelope and the extraneous loci associated with the solution curves of ordinary differential equations of the first order and degree greater than one.
Date: August 1961
Creator: Lane, Hal Burns
System: The UNT Digital Library
Convergence Preserving Matrices (open access)

Convergence Preserving Matrices

This paper is the result of a study of triangular matrices with particular emphasis on those which are convergence preserving transformations.
Date: August 1961
Creator: Line, Harrell Harvey
System: The UNT Digital Library
A Development of the Real Number System (open access)

A Development of the Real Number System

The purpose of this paper is to construct the real number system. The foundation upon which the real number system will be constructed will be the system of counting numbers.
Date: August 1961
Creator: Matthews, Ronald Louis
System: The UNT Digital Library