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(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
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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

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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