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单词 Farey series
释义

Farey series

中文百科

法里数列 Farey sequence

(重定向自Farey series)

数学上,n阶的法里数列是0和1之间最简分数的数列,由小至大排列,每个分数的分母不大于n。每个法里数列从0开始,至1结束,写作11,但有些人不把这两项包括进去。有时法里数列也称为法里级数,严格来说这名字不正确,因为法里数列的项不会加起来。

英语百科

Farey sequence 法里数列

(重定向自Farey series)
Farey diagram to F9.
Farey diagram to F9.
Ford circles

In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions between 0 and 1 which, when in lowest terms, have denominators less than or equal to n, arranged in order of increasing size.

Each Farey sequence starts with the value 0, denoted by the fraction ⁄1, and ends with the value 1, denoted by the fraction ⁄1 (although some authors omit these terms).

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更新时间:2025/6/20 23:34:55