Last Updated :2025/12/04

periodic continued fraction

Noun
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
What is this buttons?

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。

plural

Quizzes for review

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

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periodic continued fraction

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

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

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