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pairwise disjoint

pairwise disjoint adjective: 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.

pairwise disjoint: let A_λ_(λ∈Λ) be any collection of sets indexed by a set Λ. We call the indexed collection pairwise...
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Adjective

pairwise disjoint (not comparable)

  1. 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.2007, Pierre Antoine Grillet, Abstract Algebra, 2nd edition, Springer, page 61
    • For example, if we had a collection of pairwise disjoint intervals of length 1/2,1/4,1/8,…1/2ⁿ,…,etc., then we would certainly like to be able to say that the measure of their union we is the sum ∑1/2ⁿ=1 which would not follow from finite additivity.2009, John M. Franks, A (Terse) Introduction to Lebesgue Integration, American Mathematical Society, page 27
    Synonyms:
    mutually disjoint

pairwise disjoint meaning in Indonesian

pairwise disjoint in Indonesian

such that any two distinct sets are disjoint
saling terlepas

Synonyms of pairwise disjoint

  • mutually disjoint

Questions about pairwise disjoint

What does pairwise disjoint mean?
Pairwise disjoint means 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.
What is pairwise disjoint in Indonesian?
Pairwise disjoint in Indonesian is saling terlepas. See Pairwise disjoint meaning in Indonesian.
What part of speech is pairwise disjoint?
Pairwise disjoint is an adjective.

Words near pairwise disjoint in the dictionary

  1. pairs off
  2. pairs royal
  3. pairs up
  4. pairson
  5. pairwise
  6. pairwise disjoint
  7. pairwise linkage disequilibrium diagram
  8. pairwise linkage disequilibrium diagrams
  9. pairwised
  10. pairwisely
  11. pairwork

Source and license

Adapted from Wiktionary: pairwise disjoint (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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