11. With variables, a simple rule is required : parallel processes can only update disjoint sets of variables. 12. Of A into a finite number of disjoint sets , for all A in \ mathcal { F }. 13. More formally, the sum of the sizes of two disjoint sets is equal to the size of their union. 14. The set of those translates partitions the circle into a countable collection of disjoint sets , which are all pairwise congruent. 15. This cannot be true for two disjoint sets . talk ) 14 : 58, 31 January 2011 ( UTC) 16. Events of this kind would not be modeled as disjoint sets in probability space as they are here in mass assignment space. 17. In other words, spatially close sets are not disjoint sets , since they always have at least one element in common. 18. Again, the disjoint set elements are vertices and the set represent sets of neighbors, so the algorithm takes linear time. 19. The partitions that obey this more restrictive definition are the transversal matroids of the family of disjoint sets given by their blocks. 20. The fundamental assumption is that a countably infinite sequence of disjoint sets satisfies the sum formula, a property called ?-additivity.
