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Filtering by: Advisor Stalley, R. D. Remove constraint Advisor: Stalley, R. D. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics

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Proofs of the a (divided by) b theorem based on Mann's transformation

Creator:

Damewood, Leroy Mitchell

Resource Type:

Masters Thesis

Full Text:

) + d(B) • ¢l'(A)d(B) • . He then der1Te4 the r•ault that e'f'el~Y sot. or poa1t1T• 4ea. s1tr 1fh1oh
On the Cauchy-Davenport inequality for the sum of subsets of a cyclic group

Creator:

Chisum, Clayton Herbert

Resource Type:

Masters Thesis

Full Text:

proof of Chowla's Theorem by R. D. Stalley, which uses a second transforma- tion attributed to Mann
Sums of subsets of certain algebraic systems

Creator:

Higdem, Roger Leon

Abstract:

In this thesis we investigate the extension of certain theorems of additive number theory to three algebraic systems. A generalization of a theorem by Cauchy and Davenport on the cardinality of the sum of two sets of residue classes is given. We obtain and compare estimates for the order of...

Resource Type:

Dissertation
Continuous analogues of density theorems

Creator:

VanEnkevort, Ronald Lee

Abstract:

See pdf

Resource Type:

Dissertation
Density space theory : discrete spaces

Creator:

Olson, Arthur Eugene

Abstract:

Allen Freedman defined a density space to be the ordered pair (S,𝓕) where S is a certain kind of semigroup called an s-set and 𝓕 is a special type of family of finite subsets of S called a fundamental family on S. Several properties for density spaces are obtained, and...

Resource Type:

Dissertation
An inequality for the number of integers in the sum of two sets of integers

Creator:

Lim, Yeam Seng

Resource Type:

Masters Thesis

Full Text:

. LDGi!T The author wishes to thank Professor Robert D. Stalley for his su'jgestions and assistance
On the enumeration of certain equivalence classes of Euler paths of full graphs

Creator:

Prothero, Stephen Kerron

Abstract:

This thesis treats the problem of enumerating equivalence classes of Euler paths of full graphs. A full graph is a complete, unordered, graph with no loops or repeated edges. Two Euler paths are equivalent if and only if one can be transformed into the other by a finite sequence of...

Resource Type:

Masters Thesis

Full Text:

. Robert Stalley for his help and guidance in the preparation of this thesis. TABLE OF CONTENTS
An algorithm for determining the convex hull of N points in 3-space

Creator:

Butler, Karen Jensen

Abstract:

An algorithm is described for determining the vertices and supporting planes (or lines) of the convex hull of a given set of N distinct points in 3-space. The method involves determining a finite sequence of convex hulls, each successive convex hull being a better approximation to the convex hull of...

Resource Type:

Masters Thesis

Full Text:

presented June 7, 1963 Typed by Ola Gara ACKNOWLEDGMENTS The author wishes to thank Dr. Robert D
The solutions of certain equations in a variable and its greatest integer part

Creator:

Golden, Robert Ray

Resource Type:

Masters Thesis

Full Text:

IB ACKNOW I EDGMENT The author wishes to thank Professor Robert D. Stalley for his assistance
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

Full Text:

(+) i=1 (23, p.262l, proof given. 4. Io rf a, d, o, and p are integers and r, = [*] , then'p nh I r#r

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Academic Affiliation

Mathematics[remove]21

Advisor

Stalley, Robert D.16
Stalley, R. D.5

Commencement Year

Commencement Year range begin – Commencement Year range end

Current results range from 1960 to 1990

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Creator

Bregel, Maurice Leonard1
Burdg, Donald Eugene1
Butler, Karen Jensen1
Chisum, Clayton Herbert1
Daily, Mary Lou1
more Creators »

Date

Date range begin – Date range end

Current results range from 1960 to 1989

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Decade

1980-19892
1970-19794
1960-196915

Degree Field

Mathematics21

Degree Level

Master's16
Doctoral5

Degree Name

Master of Science (M.S.)13
Doctor of Philosophy (Ph.D.)5
Master of Arts (M.A.)3

Language

English [eng]21

Non-Academic Affiliation

Oregon State University. Graduate School21

Peer Reviewed

No21

Resource Type

Masters Thesis16
Dissertation5

Rights Statement

Copyright Not Evaluated20
In Copyright1

Subject

Number theory12
Functions2
Algebra, Boolean1
Algebraic number theory1
Algorithms1
more Subjects »

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