Last Updated：2025/11/29

(mathematics, mathematical analysis) The divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n.

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harmonic series

Source Word

harmonic series

(mathematics, mathematical analysis) The divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n.

Japanese Meaning

調和級数: 数学において、正の整数の逆数の和として定義される、発散する無限級数。

見た目は単純でも、正の整数の逆数からなる級数1 + 1/2 + 1/3 + …は発散し、直感に反する古典的な例を示します。

Sense（1）

(mathematics, mathematical analysis) The divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n.

Sense（2）

(music, physics) The sequence of all positive integer multiples of a base frequency.

harmonic series

（ plural ）