# 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

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topBo 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 -

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