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  Partner: UNT Libraries
 Decade: 1940-1949
 Degree Discipline: Mathematics
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.
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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.
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The Investigation of Some Properties of the Gamma Function

The Investigation of Some Properties of the Gamma Function

Date: 1949
Creator: Darnell, Billy R.
Description: The purpose of this paper is to prove the existence of the Gamma function and to give some other properties of the function.
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The Stability of the Solutions of Ordinary Differential Equations

The Stability of the Solutions of Ordinary Differential Equations

Date: 1949
Creator: Richmond, Donald Everett, 1898-
Description: This thesis is a study of stability of the solutions of differential equations.
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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.
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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.
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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.
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Some Properties of Negligible Sets

Some Properties of Negligible Sets

Date: 1948
Creator: Butts, Hubert S.
Description: In the study of sets of points certain sets are found to be negligible, especially when applied to the theory of functions. The purpose of this paper is to discuss three of these "negligible" types, namely, exhaustible sets, denumerable sets, and sets of Lebesgue measure zero. We will present a complete existential theory in q-space for the three set properties mentioned above, followed by a more restricted discussion in the linear continuum by use of interval properties.
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Some Variation Properties of Real-Valued Functions

Some Variation Properties of Real-Valued Functions

Date: 1948
Creator: Dawson, David Fleming
Description: The purpose of this paper is two-fold; we shall first establish a complete existential theory of functions of one real variable with respect to continuity, uniform continuity, absolute continuity, bounded variation, and Lipschitz condition, and second we shall study set-functions in a similar manner, except that the properties to be considered will be continuity, absolute continuity, bounded variation, and additivity.
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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.
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