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Filtering by: Decade 1960-1969 Remove constraint Decade: 1960-1969 Degree Field Mathematics Remove constraint Degree Field: Mathematics Resource Type Masters Thesis Remove constraint Resource Type: Masters Thesis

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Vector sums of line segments

Creator:

Ogard, Steven Phillip

Abstract:

The author shows that a necessary and sufficient condition for a convex polyhedron to be representable as a finite vector sum of line segments is that each of its faces possesses central symmetry.

Resource Type:

Masters Thesis
Universal algebra

Creator:

Sekino, Junpei

Abstract:

In this paper, we are concerned with the very general notion of a universal algebra. A universal algebra essentially consists of a set A together with a possibly infinite set of finitary operations on. A. Generally, these operations are related by means of equations, yielding different algebraic structures such as...

Resource Type:

Masters Thesis
Uniform convergence on classes of subsets

Creator:

Shiflett, Ray Calvin

Abstract:

In the study of uniform convergence, one is led naturally to the question of how uniform convergence on subsets relates to uniform convergence on the whole space. This paper develops theorems on how pointwise convergence relates to uniform convergence on finite sets, how uniform convergence on finite subsets relates to...

Resource Type:

Masters Thesis
Two-parameter chart for selecting empirical density functions

Creator:

Hirunraks, Anek

Resource Type:

Masters Thesis
Two finite Tchebichef transformations

Creator:

Normann, Søren Frederick

Resource Type:

Masters Thesis
The solutions of certain equations in a variable and its greatest integer part

Creator:

Golden, Robert Ray

Resource Type:

Masters Thesis
The solution of singular volterra integral equations by successive approximations

Creator:

James, Ralph Leland

Resource Type:

Masters Thesis
The quadratic integral domains Ra[[square root]3] and Ra[[square root]-15]

Creator:

Waldman, Sue Elaine Hardy

Abstract:

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 domain in which unique factorization holds. The second section is...

Resource Type:

Masters Thesis
The quadratic integral domains Ra[[square root] -11] and Ra[[square root] 10]

Creator:

Miller, William Eugene

Abstract:

This paper records a study of two quadratic number fields. In the first field, denoted by Ra[[square root] 11], the unique factorization theorem holds. In the second field, denoted by Ra[[square root] 10], it is demonstrated that the unique factorization theorem does not hold and therefore ideals are introduced to...

Resource Type:

Masters Thesis
The property of completeness of geometry

Creator:

Chow, Chi-Ming

Abstract:

This thesis presents an analytic proof of the property of completeness for two and three dimensional Euclidean geometries.

Resource Type:

Masters Thesis
The parallel axiom in N-dimensional hyperbolic space

Creator:

Yang, Hwai Nien

Resource Type:

Masters Thesis
The mechanization of logic II

Creator:

Witcraft, Don A.

Resource Type:

Masters Thesis
The mathematical structure of rectangular arrangements

Creator:

Goslin, Dennis Irl

Abstract:

The author studies the class of rectangular arrangements in terms of two binary relations on the objects of the arrangement. He shows how a univalent matrix determines a unique rectangular arrangement, and how each rectangular arrangement is associated with one, two, or four distinct matrices, according to the number of...

Resource Type:

Masters Thesis
The greatest integer part function

Creator:

Murray, Peter John

Abstract:

This thesis contains a collection of properties of the greatest integer part function which were obtained by an extensive literature search. A few original properties are stated and proved and some of the properties which were found unproved in the literature are proved.

Resource Type:

Masters Thesis
The generation of series with higher transcendental functions by means of intergral transforms

Creator:

Gamon, Kenneth Oakland

Resource Type:

Masters Thesis
The four color problem before 1890

Creator:

Waldman, Wilmer Leo

Abstract:

This work contains a brief history of the four color problem from 1840 to 1890. This includes Kempe's attempted proof of the problem as well as maps which illustrate Heawood's discussion of Kempe's error. The remaining part is a discussion of Kempe's and Story's work on patching out maps. Story...

Resource Type:

Masters Thesis
The foundations of trigonometry

Creator:

Borden, Susan Jane (Dobson)

Resource Type:

Masters Thesis
The extension problem for functions invariant under a group

Creator:

Chang, Bai-Ching

Abstract:

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 for extending f invariantly to the whole space, and thus generalizing...

Resource Type:

Masters Thesis
The exponential family of probability distributions generated by Ơ-finite measures

Creator:

Waterman, Michael Spencer

Abstract:

The exponential family of probability distributions is obtained from σ-finite measures on the real line. We choose the parameter space to be one-dimensional and the exponent to be linear. Relationships between the measure, its spectrum, and the parameter space are examined, moments of the exponential family are studied, and the...

Resource Type:

Masters Thesis
The enumeration of strings of a given length in an n-ary non-associative non-commutative algebra

Creator:

Klosinski, Leonard Frank

Abstract:

In his book on abstract algebra, Nathan Jacobson poses and solves the problem of finding the number of ways of inserting parentheses in a string of given length with binary operators. We continue the work of Jacobson and go beyond it in that we no longer consider one binary operator...

Resource Type:

Masters Thesis

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Academic Affiliation

Mathematics120

Advisor

Goheen, Harry20
Arnold, B. H.17
Stalley, Robert D.12
Goheen, Harry E.11
Stone, William M.4
more Advisors »

Commencement Year

Commencement Year range begin – Commencement Year range end

Current results range from 1960 to 1970

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Creator

Aalto, Sergei Kalvin1
Akers, David Warren1
Anderson, Sandra Elaine1
Andrews, George E., 1938 1
Applebee, Ralph Calvin1
more Creators »

Date

Date range begin – Date range end

Current results range from 1960 to 1969

View distribution

Decade

1960-1969[remove]120

Degree Field

Mathematics[remove]120

Degree Level

Master's120

Degree Name

Master of Science (M.S.)93
Master of Arts (M.A.)27

Language

English [eng]120

Non-Academic Affiliation

Oregon State University. Graduate School120

Peer Reviewed

No119

Resource Type

Masters Thesis[remove]120

Rights Statement

Copyright Not Evaluated120

Subject

Number theory10
Matrices9
Topology8
Algorithms7
ALGOL (Computer program language)5
more Subjects »

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