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Approximation of Irrationals By Rationals

Published online by Cambridge University Press:  03 November 2016

E.M. Wright
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Extract

Professor Forder’s elegantly simple method in Note 3068 (Math. Gazette 47 (1963), 237-8) can be extended to prove a more general result. Let k be any positive integer, ξ any irrational number, ar the (r + l)-th quotient in the simple continued fraction for ξ and pr/qr the (r+ l)-th convergent, so that

Type
Research Article
Information
The Mathematical Gazette , Volume 48 , Issue 365 , October 1964 , pp. 288 - 289
Copyright
Copyright © Mathematical Association 1964

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