Rational approximation of n j-r using ladder arithmetic (with computer program)
Date of Publication
1994
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This thesis introduces the method of ladder approximation which uses basic operations to obtain rational approximation of n j/r where n is a real number greater than 1 but not necessarily an integer, j and r are positive integers ( j r).The ladder representation of n j/r is in the form of a rectangular array satisfying three properties. The main result of this paper is that as one proceeds down the ladder, the quotients of the entries in various columns with those of the first column approach the powers of the rth roof of n. Also, a computer program is designed to aid the computations involved in approximating n j/r. However, the value of n, r, j are limited to 1 n 100, j r respectively due to memory and screen capacity of the computer.
Abstract Format
html
Language
English
Format
Accession Number
TU06655
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
86 numb. leaves
Keywords
Approximation theory; Arithmetic functions; Numbers, Theory of; Programming (Mathematics); Polynomials
Recommended Citation
Nalangan, A. L., & Sinlao, R. A. (1994). Rational approximation of n j-r using ladder arithmetic (with computer program). Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16172