Word info

pairwise disjoint

Adjective

Meaning

pairwise disjoint (not comparable)

(mathematics, set theory, of a collection of two or more sets) Let



{

A

λ



}

λ

Λ




{\displaystyle \{A_{\lambda }\}_{\lambda \in \Lambda }}

be any collection of sets indexed by a set



Λ


{\displaystyle \Lambda }

. We call the indexed collection pairwise disjoint if for any two distinct indices,



λ
,
μ

Λ


{\displaystyle \lambda,\mu \in \Lambda }

, the sets




A

λ




{\displaystyle A_{\lambda }}

and




A

μ




{\displaystyle A_{\mu }}

are disjoint.

Source: en.wiktionary.org

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