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A compound numerical expression consisting of an integer plus a fraction whose numerator is a positive integer and whose denominator is a continued fraction (an integer plus a fraction), and so on, with finite or infinite recursion.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, number-theory, sciences
Examples
- 2000, Andrew Zardecki, 18: Continued Fractions in Time Series Forec[a]sting, Da Ruan (editor), Fuzzy Systems and Soft Computing in Nuclear Engineering, Physica-Verlag, Studies in Fuzziness and Soft Computing, page 397, We achieve this by using well-known examples from the number theory pertaining to the continued fractions. Any sequence of natural numbers drawn from the probability distribution of the quotients of the continued fraction corresponding to an irrational number represents a typical sequence, in the sense that almost all sequences of quotients have this distribution.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Broader terms: fraction
No etymology was provided for this word.
Across languages
Translations
9 source translations are retained for this English entry.
-
Chinese Mandarin:
連分數 /连分数
(liánfēnshù)
— number theory
-
Finnish:
ketjumurtoluku
— number theory
-
French:
fraction continue
— number theory
-
German:
Kettenbruch
— number theory
-
Icelandic:
keðjubrot
— number theory
-
Italian:
frazione continua
— number theory
-
Korean:
연분수
(yeonbunsu)
— number theory
-
Polish:
ułamek łańcuchowy
— number theory
-
Swedish:
kedjebråk
— number theory
