Last Updated:2025/11/29
Sentence

べき乗の和の閉形式を導くとき、オイラーは式の係数の一つを表すためにベルヌーイ数を用いた。

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When deriving the closed form for sums of powers, Euler used a Bernoulli number to express one of the coefficients in the formula.

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When deriving the closed form for sums of powers, Euler used a Bernoulli number to express one of the coefficients in the formula.

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Related words

Bernoulli number

Noun
Japanese Meaning
数学解析や数論の文脈で、整数のべき乗の和の公式や特定の冪級数展開に現れる、有理数からなる数列の一要素として定義される数値
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べき乗の和の閉形式を導くとき、オイラーは式の係数の一つを表すためにベルヌーイ数を用いた。

Related Words

plural

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