Word for two collections that do not have any elements in common


I'm looking for a word for when you have a collection A and a collection B and they have no overlap.


In mathematical terms: the relation between two sets where the intersection is empty. Like in this Venn diagram:


Empty intersection


The word that keeps popping up in my mind is disparate sets, but I don't feel that completely covers the meaning when I look at the definition, because that doesn't seem to preclude overlapping sets that are different:



disparate 1. distinct in kind; essentially different; dissimilar: disparate ideas.




Answer



You want disjoint, as in "disjoint sets".


From Wolfram Mathworld:



Disjoint Sets


Two sets A1 and A2 are disjoint if their intersection A1 ∩ A2 = ∅, where ∅ is the empty set.


Disjoint sets are also said to be mutually exclusive or independent.



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