Last Updated:2025/12/05
Sentence

n頂点のラベル付き木の個数を調べるため、組合せ論者はしばしば、その係数が階乗で割られた項からなる一変数の形式的べき級数、すなわち指数生成関数を考える。

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To study the number of labelled trees on n vertices, combinatorialists often consider the exponential generating function whose coefficients are the terms of the sequence divided by factorials.

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To study the number of labelled trees on n vertices, combinatorialists often consider the exponential generating function whose coefficients are the terms of the sequence divided by factorials.

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Related words

exponential generating function

Noun
Japanese Meaning
(数学)指数的生成関数とは、1つの不定元を持つ形式的冪級数であり、各係数は、その不定元の冪に対応する階乗で割られた分数の形を取り、各分子は解析対象となる数列の項を表す。
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n頂点のラベル付き木の個数を調べるため、組合せ論者はしばしば、その係数が階乗で割られた項からなる一変数の形式的べき級数、すなわち指数生成関数を考える。

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