The article introduces simple continued fractions. They are defined as an infinite sequence of integers. The characterization of rational numbers in terms of simple continued fractions is shown. We also give definitions of convergents of continued fractions, and several important properties of simple continued fractions and their convergents.
@article{bwmeta1.element.doi-10_2478_v10037-006-0009-9,
author = {Bo Li and Yan Zhang and Artur Korni\l owicz},
title = {Simple Continued Fractions and Their Convergents},
journal = {Formalized Mathematics},
volume = {14},
year = {2006},
pages = {71-78},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0009-9}
}
Bo Li; Yan Zhang; Artur Korniłowicz. Simple Continued Fractions and Their Convergents. Formalized Mathematics, Tome 14 (2006) pp. 71-78. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0009-9/
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