Simple Continued Fractions and Their Convergents

• Autorzy: Bo Li , Yan Zhang , Artur Korniłowicz
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2006
• Tom: 14
• Numer: 3
• Strony: 71-78

Daty

wydano

2006-01-01

online

2008-06-09

Twórcy

autor

Bo Li

• Qingdao University of Science and Technology, China

autor

Yan Zhang

• Qingdao University of Science and Technology, China

autor

Artur Korniłowicz

• Institute of Computer Science, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-006-0009-9