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单词 Mobius inversion formula
释义

Mobius inversion formula

中文百科

默比乌斯反演公式 Möbius inversion formula

(重定向自Mobius inversion formula)

假设对于数论函数f(n)和F(n),有以下关系式:

F(n) = \sum_{d|n} f(d)

则将其默比乌斯反转公式定义为:


f(n) = \sum_{d|n} \mu (d) F \left( \frac{n}{d} \right)

英语百科

Möbius inversion formula 默比乌斯反演公式

In mathematics, the classic Möbius inversion formula was introduced into number theory during the 19th century by August Ferdinand Möbius.

Other Möbius inversion formulas are obtained when different locally finite partially ordered sets replace the classic case of the natural numbers ordered by divisibility; for an account of those, see incidence algebra.

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更新时间:2025/6/23 15:11:56