Last Updated：2025/12/05
Sentence
トゥシャール多項式は、T_n(x)=∑_{k=0}^n S(n,k)x^k（ここでS(n,k)はn個の元をk個の非空で互いに交わらない部分集合に分割する方法の数を表す第2種スターリング数）で定義される二項型の多項式列であり、集合をブロック数で数えるときの組合せ論においてしばしば現れます。
Quizzes for review
The Touchard polynomial frequently appears in combinatorics when counting set partitions by the number of nonempty blocks.
See correct answer
The Touchard polynomial frequently appears in combinatorics when counting set partitions by the number of nonempty blocks.
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Related words
Touchard polynomial
Noun
Japanese Meaning
数学において、Touchard多項式は、二項型多項式列の一群を指し、Tₙ(x)=∑ₖ₌₀ⁿ S(n,k)xᵏという形で定義される。ここで、S(n,k)は第2種スターリング数で、n個の要素をk個の互いに素な非空な部分集合に分割する方法の数を表す。
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