mirage   mirage   mirage

# Browsing Master's Theses (Mathematics) by Issue Date

Sort by: Order: Results:

• (1952-04-25)
• (1961-05-16)
• (1966-06-23)
• (1966-07-18)
This paper is the record of an exploration of two quadratic number fields. The first section is devoted to the field with elements of the form a +b√3 where a and b are rational numbers. This field contains an integral ...
• (1966-07-18)
This thesis studies the question of unique factorization in quadratic integral domains. In the first chapter many general theorems and definitions from algebraic number theory are introduced. The second chapter consid ...
• (1966-07-20)
This thesis describes and develops from an axiomatic basis three principles of logic and some forms of indirect proof. The three principles are: (1) the law of the excluded middle, (2) the law of contradiction, and (3 ...
• (1966-07-26)
Before we apply the laws of probability to hiring practices, a foundation of basic probability theory will be presented. In this presentation a number of theorems related to probability will be proven. These theorems ...
• (1966-07-27)
In this paper we present a model of Non-Euclidean geometry in three dimensions. This will show that the axioms of Non-Euclidean geometry are consistent if Euclidean geometry and, hence, arithmetic is consistent. Howev ...
• (1966-08-09)
Various properties of the integers in two quadratic number fields will be examined. Among these will be the property of unique prime factorization. When unique prime factorization breaks down, as will be the case in o ...
• (1966-08-10)
• (1966-08-11)
This thesis contains a collection of summation formulas for the greatest integer part function. Proofs are supplied for original results and for those formulas which are stated without proof in the literature. Referen ...
• (1966-08-12)
In this thesis, we study conditions not involving density which guarantee that a given positive integer is contained in a sum of sets of nonnegative integers. We survey the literature, give more detailed proofs of som ...
• (1967-03-13)
The computation of symmetric functions can be tedious. For this reason, the object of this paper is to devise a computer program so that these symmetric functions can be handled automatically. The contribution of this ...
• (1967-05-04)
A numerical solution to Hodgkin and Huxley's partial differential system for the propagated action potential is presented. In addition a three dimensional demonstration of the absolute refractory period is given. Last ...
• (1967-05-05)
Consider a transformation group G operating on a space X and a G- invariant function f defined on a G- invariant subset of X. By imposing suitable conditions on X, G, f and A, the author derives sufficient conditions ...
• (1967-07-31)
In this thesis we consider computer techniques for inverting n X n matrices and linear Fredholm integral operators of the second kind. We develop techniques which allow us to prove the existence of and find approximat ...
• (1967-08-08)
• (1967-08-10)
It is well -known that a topology for a space can be described in terms of neighborhood systems, closed sets, closure operator or convergence as well as open sets. In fact, it is also possible to describe a topology i ...
• (1967-08-31)
In this paper we investigate the Lyapunov mapping P --> AP + PA * where A is a positive stable matrix and P is a hermitian matrix. In particular, for special positive stable A we characterize the image of the cone of ...
• (1967-11-13)
This paper is a continuation of William Zell's thesis, A Model of Non-Euclidean Geometry in Three Dimensions. The purpose of that thesis was to show that the axioms of non-Euclidèan geometry are consistent if Euclidean g ...