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单词 Union
释义

Union

The union of two sets and is the set obtained by combining the members of each. This is written , andis pronounced `` union '' or `` cup .'' The union of sets through is written .


Let , , , ... be sets, and let denote the probability of . Then

(1)

Similarly,
(2)
If and are Disjoint, by definition , so
(3)

Continuing, for a set of disjoint elements , , ...,
(4)

which is the Countable Additivity Probability Axiom. Now let
(5)

then
(6)

See also Intersection, Or
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更新时间:2024/11/15 1:50:54