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Filtering by: Advisor Stalley, R. D. Remove constraint Advisor: Stalley, R. D. Degree Name Master of Science (M.S.) Remove constraint Degree Name: Master of Science (M.S.)

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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
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
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
Proofs and comparisons of the Mann-Dyson estimation theorems

Creator:

Bregel, Maurice Leonard

Abstract:

Let A and B be two subsets of the set of all non-negative integers with 0 ε A and O ε B. The sum of the sets A and B is the set C = A + B = {a + b: a ε A, b ε B). For n...

Resource Type:

Masters Thesis

Full Text:

and form the differences d. = nr - ni, 1 < i < r. Define a sequence of numbers el, e2, ... , eJ and
A synthesis of significant developments in the history, calculation, and properties of the number pi

Creator:

Burdg, Donald Eugene

Abstract:

This thesis brings together under one cover a survey of the history of the real number pi along with a study of the present state of its theory, application, and calculation.

Resource Type:

Masters Thesis

Full Text:

extend to Professor Robert D. Stalley and to the library staff his appreciation for their invaluable
Khinchin's theorem on the Schnirelmann density of sums of sets of integers

Creator:

Gregersen, Gordon Stanley

Abstract:

In 1932 A. Ya. Khinchin gave the first partial solution of the celebrated 1931 αβ Conjecture of L.G. Schnirelmann and E. Landau of the density of sums of sets on integers, which was completely proved in 1942 by H.B. Mann. Khinchin's theorem is proved along with theorems of P. Scherk...

Resource Type:

Masters Thesis

Full Text:

the set A+B given bY (L.zl A*B = A r-,lB r.-r{a+b : aeA, beB }. (The schnirelmanndensities d(A), d
Gaussian integer analogues of two theorems of Mann for positive integers

Creator:

Morgali, Ronald Ralph

Resource Type:

Masters Thesis

Full Text:

Baker ACKNOWLEDGMENTS The author wishes to express gratitude to Dr. Robert D. Stalley for his

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Academic Affiliation

Mathematics13
Civil Engineering3
Forest Products2
Horticulture2
Agricultural Economics1
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Advisor

Stalley, Robert D.11
Layton, R. D.3
Graham, R. D.2
Stalley, R. D.2
William, R. D.2
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Commencement Year

Commencement Year range begin – Commencement Year range end

Current results range from 1960 to 1991

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Committee Member

Becker, R. R.1
Hicks, R.G.1
Karow, Russell S.1
Mansour, Bill1
Mansour, N. S.1
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Creator

Bregel, Maurice Leonard1
Burdg, Donald Eugene1
Butler, Karen Jensen1
Chastain, Edward Oran1
Chilanga, Thomson G.1
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Date

Date range begin – Date range end

Current results range from 1960 to 1991

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Decade

1990-19992
1980-19892
1970-19797
1960-196914

Degree Field

Mathematics13
Civil Engineering3
Forest Products2
Horticulture2
Agricultural Economics1
more Degree Fields »

Degree Level

Master's25

Degree Name

Master of Science (M.S.)[remove]25

Language

English [eng]25

Non-Academic Affiliation

Oregon State University. Graduate School25

Peer Reviewed

No25

Resource Type

Masters Thesis25

Rights Statement

Copyright Not Evaluated24
In Copyright1

Subject

Number theory7
Functions2
Algorithms1
Apples -- Harvesting1
Cabbage1
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