A partition of a graph is a collection of pairwise disjoint sets of vertices whose union is the vertex set of the graph.
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It states that sum of the sizes of a finite collection of pairwise disjoint sets is the size of the union of these sets.
23.
The corresponding " multi-interval arithmetic " maintains a disjoint set of intervals and also provides for overlapping intervals to unite.
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The Jordan decomposition in measure theory says that every signed measure can be expressed as the difference of two positive measures supported on disjoint sets.
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Each bipartite graph consists of two disjoint sets of vertices with the condition that no vertex is connected to another vertex of the same set.
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The set of those translates partitions the circle into a countable collection of disjoint sets, which are all pairwise congruent ( by rational rotations ).
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When you form the union of two disjoint sets, one would expect the measure of the result to be the sum of the measure of the two sets.
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The optimization version of the problem, "'maximum set packing "', asks for the maximum number of pairwise disjoint sets in the list.
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In mathematics, a "'separoid "'is a binary relation between disjoint sets which is stable as an minimal Radon partitions " ).
30.
The tautology is true for every choice of y, and after fixing y the evaluation of A and B are independent because are defined on disjoint sets of variables.
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