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Disjoint sets
A collection of sets is pairwise disjoint or mutually disjoint if, given any two ... Then the family of sets {Ai : i ∈ I} is pairwise disjoint if for any i and j in I with i ≠ j, ...
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are disjoint, but {A,B,C} and {C,D,E} are not. Disjoint sets are also said to be mutually exclusive or independent. SEE ALSO: Empty Set, Independent Set, ...
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This rule states that the number of elements in a union of mutually disjoint finite sets equals the sum of the number of each of the component sets. Theorem 6.3.1 ...
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Dec 7, 1994 ... Sets are pairwise-disjoint if and only if every set is disjoint from every ... Note that mutually-disjoint sets need not be pairwise disjoint; in fact, ...
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Aug 4, 2009 ... Let (X, B1), (X, B2),..., (X, B35) be 35 mutually disjoint 5-(24, 12, 48) designs. Then for any non-empty subset S ⊂ {1, 2,..., 35}, (X, ∪i∈SBi) is a ...
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If a finite set S equals the union of n distinct and mutually disjoint subsets, then ... A3, and the subsets are distinct, and the subsets are mutually disjoint, we can ...
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Two sets are mutually exclusive (also called disjoint) if they do not have any elements in common; they need not together comprise the universal set.
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disjoint subsets. This means that A is a union of certain subsets of A and that the distinct subsets here are mutually disjoint. The converse is also true: whenever ...
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A partition of X is a collection of disjoint subsets of X whose union is all of X. For simplicity, .... It is clear that the sets B1, B2, ... are mutually disjoint. Since S is a ...
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Subsets are sets. Union of two sets A and B is a set C which consists of all elements in A and B. Two sets are mutually disjoint if they do not have a common ...
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