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disjoint union : ウィキペディア英語版
disjoint union

In set theory, the disjoint union (or discriminated union) of a family of sets is a modified union operation that indexes the elements according to which set they originated in. Or slightly different from this, the disjoint union of a family of subsets is the usual union of the subsets which are pairwise disjointdisjoint sets means they have no element in common.
Note that these two concepts are different but strongly related. Moreover, it seems that they are essentially identical to each other in category theory. That is, both are realizations of the coproduct of category of sets.
==Example==
Disjoint union of sets A_0 = and A_1 = can be computed by finding:
:
\begin
A^
*_0 & = \ \\
A^
*_1 & = \
\end

so
:
A_0 \sqcup A_1 = A^
*_0 \cup A^
*_1 = \


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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