Hostname: page-component-848d4c4894-8kt4b Total loading time: 0 Render date: 2024-07-06T15:29:39.125Z Has data issue: false hasContentIssue false
  • English
  • Français

(29/25)×(73/43)×(77/65)×(101/75) is close to π

Published online by Cambridge University Press:  01 August 2016

P. Goetgheluck
P. Goetgheluck*
Affiliation:
Université de Paris-Sud, Mathématiques, Bât 425, 91405 Orsay Cedex, France, goetghe@iut-orsay.fr
Get access Rights & Permissions [Opens in a new window]

Extract

The aim of this paper is to give some elementary tools to solve problems of the following type: let x be a real number, n a positive integer and ε a positive real number; to find the best approximation of x by a fraction in the interval Iε = [x - ε, x + ε], with denominator at most n and possibly satisfying some additional constraints.

Type
Articles
Information
The Mathematical Gazette , Volume 86 , Issue 506 , July 2002 , pp. 228 - 232
Copyright
Copyright © The Mathematical Association 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Keng, Hua Loo, Introduction to number theory, Springer Verlag (1982).Google Scholar
2. Mathews, J., Gear trains and continued fractions, Amer. Math. Monthly, 97(1990) pp. 505–510.Google Scholar