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  Partner: UNT Libraries
 Decade: 1940-1949
 Degree Discipline: Mathematics
 Collection: UNT Theses and Dissertations
The Dyadic Operator Approach to a Study in Conics, with some Extensions to Higher Dimensions

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

Date: 1940
Creator: Shawn, James Loyd
Description: 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.
Contributing Partner: UNT Libraries
The Elementary Transcendental Functions of a Complex Variable as Defined by Integration

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

Date: 1940
Creator: Wilson, Carroll K.
Description: 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.
Contributing Partner: UNT Libraries
Lebesgue Linear Measure

Lebesgue Linear Measure

Date: 1940
Creator: Beeman, William Edwin
Description: 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.
Contributing Partner: UNT Libraries
Number Theoretic Analogies for Certain Theorems and Processes in the Theory of Equations

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

Date: 1940
Creator: Witt, F. L.
Description: The aim of this paper is to exhibit analogs in Number Theory of certain well known theorems and methods of the Theory of Equations.
Contributing Partner: UNT Libraries
Some Properties of Transfinite Cardinal and Ordinal Numbers

Some Properties of Transfinite Cardinal and Ordinal Numbers

Date: 1940
Creator: Cunningham, James S.
Description: Explains properties of mathematical sets, algebra of sets, and set order types.
Contributing Partner: UNT Libraries
The Analogues for t-Continuity of Certain Theorems on Ordinary Continuity

The Analogues for t-Continuity of Certain Theorems on Ordinary Continuity

Date: 1941
Creator: Parrish, Herbert C.
Description: This study investigates the relationship between ordinary continuity and t-continuity.
Contributing Partner: UNT Libraries
Some Fundamental Properties of Gamma and Beta Functions

Some Fundamental Properties of Gamma and Beta Functions

Date: 1941
Creator: Nolen, Robert L.
Description: This paper consists of a discussion of the properties and applications of certain improper integrals, namely the gamma function and the beta function. There are also specific examples of application of these functions in certain fields of applied science.
Contributing Partner: UNT Libraries
Some Properties of Certain Generalizations of the Sum of an Infinite Series

Some Properties of Certain Generalizations of the Sum of an Infinite Series

Date: 1941
Creator: Hill, William F.
Description: This thesis attempts to establish properties of Hölder and Cesàro summable series analogous to those of ordinary convergent series and also to establish properties that are possibly different from those of convergent series.
Contributing Partner: UNT Libraries
The Cantor Ternary Set and Certain of its Generalizations and Applications

The Cantor Ternary Set and Certain of its Generalizations and Applications

Date: 1942
Creator: Hembree, Gwendolyn
Description: This thesis covers the Cantor Ternary Set and generalizations of the Cantor Set, and gives a complete existential theory for three set properties: denumerability, exhaustibility, and zero measure.
Contributing Partner: UNT Libraries
Some Properties and Applications of Elliptic Integrals

Some Properties and Applications of Elliptic Integrals

Date: 1944
Creator: Townsend, Bill B.
Description: The object of this paper is to present the properties and some of the applications of the Elliptic Integrals.
Contributing Partner: UNT Libraries
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