25 Matching Results

Search Results

Results: 1 - 24 next
open access

Relative Extreme Points

Description: In this paper, elementary properties of relative extreme points are investigated. The properties are defined in linear and topological terms. Proofs of many of these properties require the use of topological concepts.
Date: January 1966
Creator: Matthews, William J.
Partner: UNT Libraries
open access

Linear Programming Using the Simplex Method

Description: This thesis examines linear programming problems, the theoretical foundations of the simplex method, and how a liner programming problem can be solved with the simplex method.
Date: January 1967
Creator: Patterson, Niram F.
Partner: UNT Libraries
open access

A Twenty-Five Point Geometry

Description: This thesis presents a series of theorems and proofs describing a twenty-five point geometry in which exists exactly thirty lines.
Date: January 1967
Creator: Tillerson, Charles W.
Partner: UNT Libraries
open access

A Study of Functions on Metric Spaces

Description: This thesis describes various forms of metric spaces and establishes some of the properties of functions defined on metric spaces. No attempt is made in this paper to examine a particular type of function in detail. Instead, some of properties of several kinds of functions will be observed as the functions are defined on various forms of metric spaces such as connected spaces, compact spaces, complete spaces, etc.
Date: January 1968
Creator: Brice, Richard S.
Partner: UNT Libraries
open access

Polynomial Curve and Surface Fitting

Description: The main problems of numerical analysis involve performing analytical operations, such as integration, differentiation, finding zeroes, interpolation, and so forth, of a function when all the data available are some samples of the function. Therefore, the purpose of this paper is to investigate the following problem: given a set of data points (x[sub i], y[sub i]) which are samples of some function, determine an approximating function. Further, extend the problem to that of determining an appro… more
Date: January 1968
Creator: Capps, Ann Dowdy
Partner: UNT Libraries
open access

Some Fundamental Properties of Valuations Defined on a Field

Description: The purpose of this thesis is to develop some properties of a special class of functions called valuations. The study begins with and examination of the properties of valuations defined on an arbitrary field, F, and later, consideration is given to valuations defined on the field of rational numbers. The concept of a pseud-valuation is introduced and an investigation is made of the properties of pseudo-valuations.
Date: January 1969
Creator: Doerr, James C.
Partner: UNT Libraries
open access

Polynomial Rings and Selected Integral Domains

Description: This thesis is an investigation of some of the properties of polynomial rings, unique factorization domains, Euclidean domains, and principal ideal domains. The nature of some of the relationships between each of the above systems is also developed in this paper.
Date: January 1968
Creator: Kamen, Sam A.
Partner: UNT Libraries
open access

Valuations and Places

Description: The purpose of this paper is devoted to investigating some fundamental properties of valuations and places.
Date: January 1970
Creator: Lo, Louis M. T.
Partner: UNT Libraries
open access

Topological Spaces, Filters and Nets

Description: Explores topological spaces, filters, and nets with definitions and examples.
Date: January 1966
Creator: Cline, Jerry Edward
Partner: UNT Libraries
open access

Random Sampling

Description: The purpose of this study is to show the use of random sampling in solving certain mathematical problems. The origin of random numbers to be used in sampling is discussed and methods of sampling from known distributions are then given together with an indication that the sampling procedures are unbiased.
Date: January 1957
Creator: Booker, Aaron Hicks
Partner: UNT Libraries
open access

Pseudo-groups

Description: This thesis examines pseudo-groups and complex groupable lattices.
Date: January 1965
Creator: Weitner, W. Cleo
Partner: UNT Libraries
open access

Basic Fourier Transforms

Description: The purpose of this paper is to develop some of the more basic Fourier transforms which are the outgrowth of the Fourier theorem. Although often approached from the stand-point of the series, this paper will approach the theorem from the standpoint of the integral.
Date: January 1962
Creator: Cumbie, James Randolph
Partner: UNT Libraries
open access

Equivalence Classes of Cauchy Sequences of Rational Numbers

Description: The purpose of this thesis is to define equivalence classes of Cauchy sequences of rational numbers and the operations of taking a sum and a product and then to show that this system is an uncountable, ordered, complete field. In so doing, a mathematical system is obtained which is isomorphic to the real number system.
Date: January 1965
Creator: Darnell, Linda Jane
Partner: UNT Libraries
open access

Sequences of Real Numbers

Description: The purpose of this thesis is to examine general properties, convergence, and limit points of sequences of real numbers.
Date: January 1965
Creator: Eskew, Mark F.
Partner: UNT Libraries
open access

Ideals in Semigroups

Description: This thesis investigates ideals in semigroups.
Date: January 1965
Creator: Rodgers, Samuel A.
Partner: UNT Libraries
open access

Continued Fractions

Description: The purpose of this paper is to study convergence of certain continued fractions.
Date: January 1966
Creator: Smith, Harold Kermit, Jr.
Partner: UNT Libraries
open access

Topological Properties of Chains

Description: The purpose of this paper is to define and investigate some of the properties of chains. Particular attention is given to a natural topology for chains, called the interval topology, and how the chain properties and topological properties of chains affect each other.
Date: January 1966
Creator: Womack, Robert A.
Partner: UNT Libraries
open access

The Solution of Equations in Integers

Description: This paper is devoted to finding integral solutions of algebraic equations. Only algebraic equations with integral coefficients are considered. The elementary properties of integers are assumed.
Date: January 1964
Creator: Read, Billy D.
Partner: UNT Libraries
open access

Comparison of Some Mappings in Topology

Description: The main purpose of this paper is the study of transformations in topological space and relationships between special types of transformations.
Date: January 1964
Creator: Aslan, Farhad
Partner: UNT Libraries
open access

Plane Curves

Description: The purpose of this thesis is to present a definition and some properties of a curved arc in a plane and to present a definition and some properties of the Jordan curve.
Date: January 1963
Creator: Heflin, Billy M.
Partner: UNT Libraries
open access

The Wave Equation in One Dimension

Description: It is intended that this paper present an acceptable proof of the existence of a solution for the wave equation.
Date: January 1961
Creator: Carlson, Kenneth Emil
Partner: UNT Libraries
open access

Some Diophantine Equations

Description: This paper will be devoted to an examination of several general and specific equations and systems of equations of the diophantine type. Only algebraic equations with integral coefficients, not all zero, will considered. The elementary properties of the integers will be assumed.
Date: January 1960
Creator: Pressly, Kirby Smith
Partner: UNT Libraries
open access

Elliptic Geometry

Description: This thesis discusses elliptic geometry including the order and incidence properties, projective properties and congruence properties.
Date: January 1966
Creator: Robertson, Barbara McKinzie
Partner: UNT Libraries
Back to Top of Screen