Last Updated :2025/11/29

Kempner series

Noun
Japanese Meaning
数学におけるキンプナー級数:10進数表記で分母に数字9が含まれる項を除いた調和級数の変形である。
What is this buttons?

10進法で表した分母に数字9が含まれる項をすべて除いた調和級数の変形は、有限の値に収束する。

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(mathematics) A modification of the harmonic series, formed by omitting all terms whose denominator expressed in base 10 contains the digit 9.

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Kempner series

The Kempner series, obtained by removing all harmonic series terms whose denominators contain the digit 9 when written in base ten, converges to a finite value.

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The Kempner series, obtained by removing all harmonic series terms whose denominators contain the digit 9 when written in base ten, converges to a finite value.

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