Last Updated：2025/12/04

(mathematics) A continued fraction with a sequence of numerators and denominators that repeat indefinitely

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periodic continued fraction

Source Word

periodic continued fraction

(mathematics) A continued fraction with a sequence of numerators and denominators that repeat indefinitely

Japanese Meaning

数学における連分数の一種で、連分数の項（分子および分母）が一定の周期で繰り返される表現

The periodic continued fraction converges to a quadratic irrational, illustrating how repeating patterns determine algebraic properties.

分子と分母の数列が無限に繰り返す連分数は二次無理数に収束し、反復するパターンが代数的性質を決定する様子を示しています。

Sense（1）

(mathematics) A continued fraction with a sequence of numerators and denominators that repeat indefinitely

periodic continued fractions

（ plural ）