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Filtering by: Contributor advisor sim Stalley, Robert D. Remove constraint Contributor advisor sim: Stalley, Robert D. Resource Type Masters Thesis Remove constraint Resource Type: Masters Thesis

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

Creator:

Lim, Yeam Seng

Resource Type:

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

Creator:

Golden, Robert Ray

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
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
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
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
Gaussian integer analogues of two theorems of Mann for positive integers

Creator:

Morgali, Ronald Ralph

Resource Type:

Masters Thesis
Summation formulas for the greatest integer part function

Creator:

Haertel, Raymond Delbert

Abstract:

This thesis contains a collection of summation formulas for the greatest integer part function. Proofs are supplied for original results and for those formulas which are stated without proof in the literature. References are given for formulas and proofs which appear in the literature.

Resource Type:

Masters Thesis

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Academic Affiliation

Mathematics14

Advisor

Stalley, Robert D.14

Commencement Year

Commencement Year range begin – Commencement Year range end

Current results range from 1962 to 1990

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Creator

Bregel, Maurice Leonard1
Burdg, Donald Eugene1
Butler, Karen Jensen1
Golden, Robert Ray1
Green, Dale E.1
more Creators »

Date

Date range begin – Date range end

Current results range from 1962 to 1989

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Decade

1980-19892
1960-196912

Degree Field

Mathematics14

Degree Level

Master's14

Degree Name

Master of Science (M.S.)11
Master of Arts (M.A.)3

Language

English [eng]14

Non-Academic Affiliation

Oregon State University. Graduate School14

Peer Reviewed

No14

Resource Type

Masters Thesis[remove]14

Rights Statement

Copyright Not Evaluated14

Subject

Number theory7
Functions2
Algorithms1
Convex surfaces1
Differential equations1
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