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  Partner: UNT Libraries
 Department: Department of Mathematics
 Decade: 1940-1949
 Collection: UNT Theses and Dissertations
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
The Buckling of a Uniformly Compressed Plate with Intermediate Supports

The Buckling of a Uniformly Compressed Plate with Intermediate Supports

Date: 1949
Creator: Dean, Thomas S.
Description: This problem has been selected from the mathematical theory of elasticity. We consider a rectangular plate of thickness h, length a, and width b. The plate is subjected to compressive forces. These forces act in the neutral plane and give the plate a tendency to buckle. However, this problem differs from other plate problems in that it is assumed that there are two intermediate supports located on the edges of the plate parallel to the compressive forces.
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
Conditions under which Certain Inequalities Become Equalities

Conditions under which Certain Inequalities Become Equalities

Date: 1948
Creator: Vaughan, Nick H.
Description: The object of this paper is to consider necessary and sufficient conditions in order for certain important inequalities, which are frequently used in analysis, to reduce to equalities.
Contributing Partner: UNT Libraries
Continuation of Real Functions Defined by Power Series

Continuation of Real Functions Defined by Power Series

Date: 1948
Creator: Strickland, Warren, G.
Description: This thesis looks at power series, particularly in the areas of: radius of convergence, properties of functions represented by power series, algebra of power series, and Taylor's Theorem and continuation by means of power series.
Contributing Partner: UNT Libraries
A Development of the Real Number System by Means of Nests of Rational Intervals

A Development of the Real Number System by Means of Nests of Rational Intervals

Date: 1949
Creator: Williams, Mack Lester
Description: The system of rational numbers can be extended to the real number system by several methods. In this paper, we shall extend the rational number system by means of rational nests of intervals, and develop the elementary properties of the real numbers obtained by this extension.
Contributing Partner: UNT Libraries
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
The Exponential Functions

The Exponential Functions

Date: 1947
Creator: Sloan, Robert S.
Description: The purpose of this paper is to clarify the problems of exponents by introducing notation not customarily used and by demonstrating certain theorems in regard to the properties of the exponential functions.
Contributing Partner: UNT Libraries
A Generalization of Newton's Method

A Generalization of Newton's Method

Date: 1948
Creator: LeBouf, Billy Ruth
Description: It is our purpose here to investigate the method of solving equations for real roots by Newton's Method and to indicate a generalization arising from this method.
Contributing Partner: UNT Libraries
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