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The Dyadic Operator Approach to a Study in Conics, with some Extensions to Higher Dimensions (open access)

The Dyadic Operator Approach to a Study in Conics, with some Extensions to Higher Dimensions

The discovery of a new truth in the older fields of mathematics is a rare event. Here an investigator may hope at best to secure greater elegance in method or notation, or to extend known results by some process of generalization. It is our purpose to make a study of conic sections in the spirit of the above remark, using the symbolism developed by Josiah Williard Gibbs.
Date: 1940
Creator: Shawn, James Loyd
System: The UNT Digital Library
The Elementary Transcendental Functions of a Complex Variable as Defined by Integration (open access)

The Elementary Transcendental Functions of a Complex Variable as Defined by Integration

The object of this paper is to define the elementary transcendental functions of a complex variable by means of integrals, and to discuss their properties.
Date: 1940
Creator: Wilson, Carroll K.
System: The UNT Digital Library
Lebesgue Linear Measure (open access)

Lebesgue Linear Measure

This paper discusses the concept of a general definition of measure, and shows that the Lebesgue measure satisfies the requirements set forth for the ideal definition.
Date: 1940
Creator: Beeman, William Edwin
System: The UNT Digital Library
Number Theoretic Analogies for Certain Theorems and Processes in the Theory of Equations (open access)

Number Theoretic Analogies for Certain Theorems and Processes in the Theory of Equations

The aim of this paper is to exhibit analogs in Number Theory of certain well known theorems and methods of the Theory of Equations.
Date: 1940
Creator: Witt, F. L.
System: The UNT Digital Library
Some Properties of Transfinite Cardinal and Ordinal Numbers (open access)

Some Properties of Transfinite Cardinal and Ordinal Numbers

Explains properties of mathematical sets, algebra of sets, and set order types.
Date: 1940
Creator: Cunningham, James S.
System: The UNT Digital Library