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  Partner: UNT Libraries
 Resource Type: Thesis or Dissertation
 Degree Discipline: Mathematics
Divisibility in Abelian Groups

Divisibility in Abelian Groups

Date: August 1966
Creator: Huie, Douglas Lee
Description: This thesis describes properties of Abelian groups, and develops a study of the properties of divisibility in Abelian groups.
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.
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Dynamics, Thermodynamic formalism and Perturbations of Transcendental Entire Functions of Finite Singular Type

Dynamics, Thermodynamic formalism and Perturbations of Transcendental Entire Functions of Finite Singular Type

Date: May 2005
Creator: Coiculescu, Ion
Description: In this dissertation, we study the dynamics, fractal geometry and the topology of the Julia set of functions in the family H which is a set in the class S, the Speiser class of entire transcendental functions which have only finitely many singular values. One can think of a function from H as a generalized expanding function from the cosh family. We shall build a version of thermodynamic formalism for functions in H and we shall show among others, the existence and uniqueness of a conformal measure. Then we prove a Bowen's type formula, i.e. we show that the Hausdorff dimension of the set of returning points, is the unique zero of the pressure function. We shall also study conjugacies in the family H, perturbation of functions in the family and related dynamical properties. We define Perron-Frobenius operators for some functions naturally associated with functions in the family H and then, using fundamental properties of these operators, we shall prove the important result that the Hausdorff dimension of the subset of returning points depends analytically on the parameter taken from a small open subset of the n-dimensional parameter space.
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Electronic Analog Computer Study of Effects of Motor Velocity and Driving Voltage Limits upon Servomechanism Performance

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

Date: 1956
Creator: Haynes, Joe Preston
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.
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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.
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Elements of Boolean Algebra Theory

Elements of Boolean Algebra Theory

Date: 1957
Creator: Harvill, John Bowman
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.
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Elliptic Geometry

Elliptic Geometry

Date: January 1966
Creator: Robertson, Barbara McKinzie
Description: This thesis discusses elliptic geometry including the order and incidence properties, projective properties and congruence properties.
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Equivalence Classes of Cauchy Sequences of Rational Numbers

Equivalence Classes of Cauchy Sequences of Rational Numbers

Date: January 1965
Creator: Darnell, Linda Jane
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.
Contributing Partner: UNT Libraries
Equivalence Classes of Subquotients of Pseudodifferential Operator Modules on the Line

Equivalence Classes of Subquotients of Pseudodifferential Operator Modules on the Line

Date: August 2012
Creator: Larsen, Jeannette M.
Description: Certain subquotients of Vec(R)-modules of pseudodifferential operators from one tensor density module to another are categorized, giving necessary and sufficient conditions under which two such subquotients are equivalent as Vec(R)-representations. These subquotients split under the projective subalgebra, a copy of ????2, when the members of their composition series have distinct Casimir eigenvalues. Results were obtained using the explicit description of the action of Vec(R) with respect to this splitting. In the length five case, the equivalence classes of the subquotients are determined by two invariants. In an appropriate coordinate system, the level curves of one of these invariants are a pencil of conics, and those of the other are a pencil of cubics.
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Euclidean N-space

Euclidean N-space

Date: August 1962
Creator: Horner, Donald R.
Description: This study of the Euclidean N-space looks at some definitions and their characteristics, some comparisons, boundedness and compactness, and transformations and mappings.
Contributing Partner: UNT Libraries