This definition extends to any collection of sets. A collection of sets is pairwise disjoint or mutually disjoint if, given any two sets in the collection, those two sets are disjoint.
Formally, let I be an index set, and for each i in I, let Ai be a set. Then the family of sets {Ai : i ∈ I} is pairwise disjoint if for any i and j in I with i ≠ j,
For example, the collection of sets { {1}, {2}, {3}, ... } is pairwise disjoint. If {Ai} is a pairwise disjoint collection (containing at least two sets), then clearly its intersection is empty:
However, the converse is not true: the intersection of the collection {{1, 2}, {2, 3}, {3, 1}} is empty, but the collection is not pairwise disjoint. In fact, there are no two disjoint sets in this collection.
A partition of a set X is any collection of non-empty subsets {Ai : i ∈ I} of X such that {Ai} are pairwise disjoint and
Sets that are not the same.
the set of every set is that set
The set contained in another set is termed as a sub-set.
null set or empty set, is a set with no elements.
A null set is a set with nothing in it. A set containing a null set is still containing a "null set". Therefore it is right to say that the null set is not the same as a set containing only the null set.
No. An empty set is a subset of every set but it is not an element of every set.
Disjointed Parallels was created in 1995.
"His logic seemed disjointed with the rest of his presentation."
Disjointed syntax is when is the grammatical structure of a sentence has been interrupted
the boy disjointed his arm when he fell off of his skateboard. ;p [: :}:
The enactment of the government policy was disjointed and uncoordinated from the very beginning. His disjointed speech left many listeners wondering what he actually meant to say.
Disappointed
disjointed timelines
The cast of Disjointed Custody - 2012 includes: Britani Bateman as Mommy
Lacking order or coherence.
-5(3n plus 4) 40 is a set of disjointed expressions: it is not a formula and so cannot be solved.
Her answer to the question seemed disjointed.