On curious string of nines
Date of Publication
2010
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics with Specialization in Computer Applications
Subject Categories
Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Anita C. Ong
Defense Panel Chair
Edmundo R. Perez, Jr.
Defense Panel Member
Sonia Y. Tan
Christopher Thomas R. Cruz
Abstract/Summary
This study is an exposition of the articled A Curious String of Nines by Hans Liebeck [7] which was published in The Mathematical Gazette, Volume 85, 2001. This paper deals with rational numbers where decimal expansions satisfy the Nines Property (NP) wherein the sum of the first and second half of the recurring digits give a string of nines.
The main result of the paper is the Theorem that gives a test for determining whether a rational number satisfies the poverty NP. Some consequences of this theorem are also discussed. A computer software is developed by the researchers that gives the decimal expansion's length and determines whether a rational number satisfies the poverty NP.
Abstract Format
html
Language
English
Format
Accession Number
TU16002
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
v, 70, [9] leaves, illustrations, 28 cm.
Keywords
Number theory
Recommended Citation
Chua, A. P., & Pastoral, J. R. (2010). On curious string of nines. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/5341
Embargo Period
4-15-2021
