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pairwise disjoint (Definition)

Definition Suppose $ \{ E_\alpha\mid \alpha \in I \}$ is an arbitrary collection of sets. These sets are said to be pairwise disjoint if for every pair of distinct elements $ \alpha,\beta\in I$, we have $ E_\alpha \cap E_\beta= \varnothing $.

Remark

The synonym mutually disjoint is also used.



"pairwise disjoint" is owned by yark. [ full author list (2) | owner history (1) ]
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Other names:  mutually disjoint
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Cross-references: collection
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This is version 6 of pairwise disjoint, born on 2004-02-29, modified 2007-06-27.
Object id is 5653, canonical name is MutuallyDisjoint.
Accessed 7976 times total.

Classification:
AMS MSC03E99 (Mathematical logic and foundations :: Set theory :: Miscellaneous)

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mutually disjoint by pahio on 2004-03-01 10:20:39

Hi Matte, you should write, of course, that
$E_\alpha \cap E_\beta = \emptyset$ =o)

 Jussi
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Other common terminology by ratboy on 2004-02-29 15:15:15
Such collections are often referred to as "disjoint" (without qualification) or "pairwise disjoint".


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