disjoint set in a sentence

Examples

1. A partition of a graph is a collection of pairwise disjoint sets of vertices whose union is the vertex set of the graph.
2. It states that sum of the sizes of a finite collection of pairwise disjoint sets is the size of the union of these sets.
3. The corresponding " multi-interval arithmetic " maintains a disjoint set of intervals and also provides for overlapping intervals to unite.
4. 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.
5. 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.
6. The set of those translates partitions the circle into a countable collection of disjoint sets, which are all pairwise congruent ( by rational rotations ).
7. 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.
8. The optimization version of the problem, "'maximum set packing "', asks for the maximum number of pairwise disjoint sets in the list.
9. In mathematics, a "'separoid "'is a binary relation between disjoint sets which is stable as an minimal Radon partitions " ).
10. 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.