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Abstract Measure

Description: This study of abstract measure covers classes of sets, measures and outer measures, extension of measures, and planer measure.
Date: 1957
Creator: Bridges, Robert Miller

Convergence Tests for Infinite Series

Description: The field of infinite series is so large that any investigation into that field must necessarily be limited to a particular phase. An attempt has been made to develop a number of tests having a wide range of applications. Particular emphasis has been placed on tests for series of positive terms.
Date: 1950
Creator: Latimer, Philip W.

Electronic Analog Computer Study of Effects of Motor Velocity and Driving Voltage Limits upon Servomechanism Performance

Description: The object of this thesis is (1) to demonstrate the value of an electronic analog computer for the solution of non-linear ordinary differential equations particularly when a large family of solutions is required; and (2) to obtain as a by-product results of practical applicability to servomechanism selection and analysis.
Date: 1956
Creator: Haynes, Joe Preston

Elements of Boolean Algebra Theory

Description: The primary purpose of this paper is to state a set of postulates for Boolean algebra and show the characteristic theorems derivable from them, and to unify in one paper the more important methods of representing Boolean algebra and show their equivalence.
Date: 1957
Creator: Harvill, John Bowman

Exhaustibility and Related Set Properties

Description: The purpose of this paper is to develop certain fundamental properties of exhaustible sets and their complements and to examine various set properties which are generalizations, with respect to exhaustible neglect, or well-known set properties.
Date: 1950
Creator: Cargal, Buchanan

L'Hospital's Rule

Description: The purpose of this paper is to present proofs for six cases of L'Hospital's Rule for the evaluation of indeterminate forms. It is also a purpose to reduce to one of these six cases some other indeterminate forms to which L'Hospital's Rule is applicable. In the course of presenting these proofs several theorems and definitions will be used without proof.
Date: 1950
Creator: Spidell, William H.

Improper Integrals

Description: In this paper a definitions shall be given for different types of improper integrals and several theorems concerning them shall be proved.
Date: 1957
Creator: Hildebrand, Shelby K.

Infinite Matrices

Description: This paper will be mostly concerned with matrices of infinite order with elements which lie in Hilbert Space. All the properties of real and complex numbers and all the properties of infinite series and infinite sequences that are not listed will be assumed.
Date: August 1957
Creator: Smallwood, James D.

Introduction to the Theory of Games

Description: The purpose of this thesis is to provide a beginning graduate student in mathematics with the general theory underlying competition between rational, intelligent opponents. This competition can be described as a game of opposing strategies; hence, the name game theory.
Date: June 1959
Creator: Taylor, James Lyle

Linear Order

Description: This paper will be concerned with some fundamental properties of a line. In particular, fundamental ordering properties of a line segment are covered.
Date: August 1959
Creator: Gipson, John Samuel

Mechanization of Aircraft Performance

Description: The purpose of this paper is to describe the mechanization of the basic equations of motion for the performance and maneuver characteristics of an airplane with some simplifications which render solutions more practicable. The results of a study made to program these equations for calculation by the IBM MODEL 650 digital computer are presented as well as the steps to be taken in using this method of calculation.
Date: 1956
Creator: Cotten, Frances Patterson

Metric Spaces

Description: This thesis covers fundamental properties of metric spaces, as well as completeness, compactness, and separability of metric spaces.
Date: 1957
Creator: Bilyeu, Russell Gene