Last Updated:2025/12/03
Sentence

分数乗を近似するために、数学者は任意の複素数αに対する関数 f(x) = (1 + x)^α のマクローリン級数展開を用い、その収束が |x| < 1 で成り立つことを確認した。

Quizzes for review

To approximate fractional powers, the mathematician used the binomial series centered at zero and verified its convergence for |x| < 1.

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To approximate fractional powers, the mathematician used the binomial series centered at zero and verified its convergence for |x| < 1.

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Related words

binomial series

Noun
broadly
Japanese Meaning
二項級数:数学における用語で、関数 f(x) = (1+x)^α のマクローリン級数展開、すなわち Σₖ₌₀∞ (α choose k)x^k として表される級数を指す。
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分数乗を近似するために、数学者は任意の複素数αに対する関数 f(x) = (1 + x)^α のマクローリン級数展開を用い、その収束が |x| < 1 で成り立つことを確認した。

Related Words

plural

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