Last Updated
:2025/11/29
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
( plural )
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(mathematical analysis, number theory) Any one of the rational numbers in a sequence of such that appears in numerous contexts, including formulae for sums of integer powers and certain power series expansions.
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Bernoulli number
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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