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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

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

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

ScholarsArchive@OSU

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

On the Cauchy-Davenport inequality for the sum of subsets of a cyclic group

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

On the enumeration of certain equivalence classes of Euler paths of full graphs

An algorithm for determining the convex hull of N points in 3-space

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

The greatest integer part function

Proofs and comparisons of the Mann-Dyson estimation theorems

A synthesis of significant developments in the history, calculation, and properties of the number pi

Khinchin's theorem on the Schnirelmann density of sums of sets of integers

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