Index Catalog // ScholarsArchive@OSU

University Press Use of E-publishing Platforms for Monographs

Creator:: Mellinger, Margaret and Nichols, Jane
Abstract:: This white paper gives an overview of the software applications used by university presses to publish digital monographs. In addition, we will look at routes taken by university presses to move from all print to some e-publishing and list the supplemental online content that is typically offered for a fee.
Resource Type:: Technical Report
Full Text:: Amazon/B&N Buy Link Publisher BUY Link + optional Amazon/B&N Buy Link Number of Titles Up to 1,000 Up

A construction of the real numbers using nested closed intervals

Creator:: Huang, Nancy Mang-ze
Abstract:: It is well- known that a real number can be defined as an equivalence class of fundamental rational sequences. In fact, it is also possible to define a real number as an equivalence class of sequences of nested closed rational intervals. This paper is devoted to the latter case.
Resource Type:: Masters Thesis
Full Text:: number can be defined as an equiva- lence class of fundamental rational sequences. In fact, it is also

A reinterpretation, and new demonstrations of, the Borel Normal Number Theorem

Creator:: Rockwell, Daniel Luke
Abstract:: The notion of a normal number and the Normal Number Theorem date back over 100 years. Émile Borel first stated his Normal Number Theorem in 1909. Despite their seemingly basic nature, normal numbers are still engaging many mathematicians to this day. In this paper, we provide a reinterpretation of the...
Resource Type:: Dissertation
Full Text:: , and New Demonstrations of, the Borel Normal Number Theorem Abstract approved: Robert M. Burton The

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

Creator:: Beecroft, James Lewis
Abstract:: This thesis brings together under one cover a survey of the history of the real number e along with a study of the present state of its theory and calculation.
Resource Type:: Masters Thesis
Full Text:: DEVELOPMENTS IN THE HISTORY, CALCULATION, AND PROPERTIES OF THE NUMBER e Abstract Approved (B. H. Arnold

Modulo m properties of the Fibonacci sequence

Creator:: Vinson, John Ellsworth
Resource Type:: Masters Thesis
Full Text:: 2 positive integers, that is, a number theoretic function. We now define another number theoretic

Class Number One Problems

Creator:: Bunnell, Elijah
Abstract:: In this paper we examine some of the developments concerning the Gauss class number problems and build a solid understanding of the class number. First we will develop some background knowledge necessary to understand the problem, specifically the theory of quadratic forms and quadratic fields and how the class number...
Resource Type:: Capstone Project
Full Text:: Class Number One Problems Elijah Bunnell April 24, 2009

Arithmetic dynamical questions with local rationality conditions

Creator:: Noytaptim, Chatchai
Abstract:: We introduce a numerical criterion which allows us to bound the degree of any algebraic integer having all of Galois conjugates in an interval of length less than 4. Using this criterion, we study two arithmetic dynamical questions with local rationality conditions. First, we classify all unicritical polynomials defined over...
Resource Type:: Dissertation
Full Text:: algebraic number is totally real (respectively, totally p-adic) if its minimal polynomial over Q splits

On Small Heights of Totally p-adic Numbers

Creator:: Stacy, Emerald T.
Abstract:: The height of an algebraic number A is a measure of how arithmetically complicated A is. We say A is totally p-adic if the minimal polynomial of A splits completely over the field of p-adic numbers. In this paper, we investigate what can be said about the smallest nonzero height...
Resource Type:: Dissertation
Full Text:: number α is a measure of how arithmetically compli- cated α is. We say α is totally p-adic if the

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

The distribution of partial quotients in the simple continued fraction expansion of a real number

Creator:: Bland, Steven Andrew
Abstract:: By using continued fractions the set of positive irrationals can be put in one to one correspondence with the set of sequences of positive integers. The entries of an arbitrary sequence of integers can be any subset of Z and each integer appearing can occur once, infinitly often, or anything...
Resource Type:: Masters Thesis
Full Text:: continued fraction expansion of a real number AN ABSTRACT OF THE THESIS OF STEVEN BLAND for the degree of

ScholarsArchive@OSU

University Press Use of E-publishing Platforms for Monographs

A construction of the real numbers using nested closed intervals

A reinterpretation, and new demonstrations of, the Borel Normal Number Theorem

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

Modulo m properties of the Fibonacci sequence

Class Number One Problems

Arithmetic dynamical questions with local rationality conditions

On Small Heights of Totally p-adic Numbers

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

The distribution of partial quotients in the simple continued fraction expansion of a real number

Limit your search

Academic Affiliation

Advisor

Commencement Year

Committee Member

Conference Name

Conference Section/Track

Creator

Contributor

Date

Decade

Degree Field

Degree Level

Degree Name

File Format

Funding Body

Language

License

Location

Non-Academic Affiliation

Peer Reviewed

Resource Type

Rights Statement

Subject

Search Constraints

Search Results

Limit your search