Last Updated
:2025/11/22
continued fraction
Noun
Japanese Meaning
数学や数論における用語で、整数に加えて、分子が正の整数であり、分母がさらに連分数(再帰的に整数と分数からなる表現)となる分数の和として表される数表現。有限もしくは無限の再帰構造を持つ。
( plural )
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(mathematics, number theory) 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.
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continued fraction
To approximate irrational numbers with great accuracy, mathematicians often express them as a continued fraction and study its convergents.
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To approximate irrational numbers with great accuracy, mathematicians often express them as a continued fraction and study its convergents.
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