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On Recurring Continued Fractions

Published online by Cambridge University Press:  03 November 2016

Extract

Notation. By (x/y, X/Y) = a1.a2a3 … are let it be understood that after a vulgar fraction X/Y has been converted into a continued fraction (CF.), a1.a2a3 … are the partial quotients, and x/y is the penultimate convergent. The point placed after a1 is intended to show that, in the case of a proper fraction, the first partial quotient must be taken as zero.

Type
Research Article
Copyright
Copyright © The Mathematical Association 1934

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