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'pairwise disjoint'
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| Title of object: |
pairwise disjoint |
| Canonical Name: |
MutuallyDisjoint |
| Type: |
Definition |
| Created on: |
2004-02-29 03:15:21 |
| Modified on: |
2004-05-01 04:15:18 |
| Classification: |
msc:03E99 |
| Synonyms: |
pairwise disjoint=mutually disjoint |
Revision comment (for changes between this and next version):
Preamble:
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Content:
{\bf Definition}
Suppose $\{ E_\alpha\mid \alpha \in I \}$ is an arbitrary
collection of sets. Then these sets are \emph{pairwise disjoint} if
for distinct $\alpha,\beta$ in $I$, we have $E_\alpha \cap E_\beta= \emptyset$.
\subsubsection*{Remark}
The synonym \emph{mutually disjoint} is also used. |
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