Last Updated：2025/11/22

(mathematics) The rational number obtained when a continued fraction has been terminated after a finite number of terms.

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convergent

Source Word

convergent

(mathematics) The rational number obtained when a continued fraction has been terminated after a finite number of terms.

Japanese Meaning

有限項までの連分数展開を打ち切ったときに得られる有理数。 / 連分数による中間収束値（中間収束分数）。

The convergent of the continued fraction 1 + 1/(2 + 1/3) is 7/5.

連分数 1 + 1/(2 + 1/3) を有限項で打ち切って得られる有理数は 7/5 です。

Sense（1）

(mathematics) The rational number obtained when a continued fraction has been terminated after a finite number of terms.

convergents

（ plural ）