Simple Continued Fractions and Their Convergents

Bo Li; Yan Zhang; Artur Korniłowicz

Formalized Mathematics (2006)

  • Volume: 14, Issue: 3, page 71-78
  • ISSN: 1426-2630

Abstract

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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.

How to cite

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Bo Li, Yan Zhang, and Artur Korniłowicz. "Simple Continued Fractions and Their Convergents." Formalized Mathematics 14.3 (2006): 71-78. <http://eudml.org/doc/266747>.

@article{BoLi2006,
abstract = {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.},
author = {Bo Li, Yan Zhang, Artur Korniłowicz},
journal = {Formalized Mathematics},
language = {eng},
number = {3},
pages = {71-78},
title = {Simple Continued Fractions and Their Convergents},
url = {http://eudml.org/doc/266747},
volume = {14},
year = {2006},
}

TY - JOUR
AU - Bo Li
AU - Yan Zhang
AU - Artur Korniłowicz
TI - Simple Continued Fractions and Their Convergents
JO - Formalized Mathematics
PY - 2006
VL - 14
IS - 3
SP - 71
EP - 78
AB - 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.
LA - eng
UR - http://eudml.org/doc/266747
ER -

References

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