pairwise disjoint
MutuallyDisjoint
2004-02-29 03:15:21
2007-06-27 02:36:44
Definition
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{\bf Definition}
Suppose $\{ E_\alpha\mid \alpha \in I \}$ is an arbitrary collection of sets.
These sets are said to be \emph{pairwise disjoint}
if for every pair of distinct elements $\alpha,\beta\in I$,
we have $E_\alpha \cap E_\beta= \emptyset$.
\subsubsection*{Remark}
The synonym \emph{mutually disjoint} is also used.