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# pairwise disjoint

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.

Synonym:

mutually disjoint

Type of Math Object:

Definition

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03E99*no label found*

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## Comments

## Other common terminology

Such collections are often referred to as "disjoint" (without qualification) or "pairwise disjoint".

## mutually disjoint

Hi Matte, you should write, of course, that

$E_\alpha \cap E_\beta = \emptyset$ =o)

Jussi