English Dictionary

pairwise disjoint

adj

(mathematics, set theory, of a collection of two or more sets) Let A_𝜆_(𝜆∈𝛬) be any collection of sets indexed by a set 𝛬. We call the indexed collection pairwise disjoint if for any two distinct indices, 𝜆,𝜇∈𝛬, the sets A_𝜆 and A_𝜇 are disjoint.

The sets A and B are pairwise disjoint.

意味（1）

(mathematics, set theory, of a collection of two or more sets) Let A_𝜆_(𝜆∈𝛬) be any collection of sets indexed by a set 𝛬. We call the indexed collection pairwise disjoint if for any two distinct indices, 𝜆,𝜇∈𝛬, the sets A_𝜆 and A_𝜇 are disjoint.

Proposition 4.5. Every permutation is a product of pairwise disjoint cycles, and this decomposition is unique up to the order of the terms.