Disjoint events (or mutually exclusive events) are a collection of events where at most one of the events can happen.
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Disjoint sets - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Disjoint_sets
Then the family of sets {Ai : i ∈ I} is pairwise disjoint if for any i and j in I with i ≠ j, . A_i \cap A_j = \varnothing.\,. For example, the collection of sets { {1}, {2}, {3}, . |
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Disjoint union - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Disjoint_union
Formally, let {Ai : i ∈ I} be a family of sets indexed by I. The disjoint union of this ... union” is simply a shorthand for “union of sets which are pairwise disjoint”. |
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The object of this note is to find the maximum number of pairwise disjoint families and to determine the maximum possible number of distinct fixed positions.
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Since jv(X) is Hausdorff, there exists a mutually disjoint family { G! }1 of open subsets of Nv(X) where ? iC Gi for each i. Let Gi = G-{ i}. Since X is dense in Nv(X ), ...
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SH is a planar surface if and only if there exists a family F of mutually disjoint simple closed curves in SH which is G-invariant and which generates the ...
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In the plane, a family consisting of mutually disjoint translates of a compact convex set cannot have such a large number of G.P.s. In [7] we showed that, with ...
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(A disjoint family is a family whose members are mutually disjoint.) This conjecture is still open. A weaker conjecture, to be called the weak Griinbaum conjecture ...
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Principle 1.1 (Sum Principle) The size of a union of a family of mutually disjoint finite sets is the sum of the sizes of the sets. Thus we were, in effect, using the ...
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The axiom of choice may also be formulated in the following way: corresponding to any family B of mutually disjoint nonempty sets there is a choice set, that is, a ...
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