Intersection (set theory)
The intersection of two or more sets is the set of elements that are common to all of them. Thus, the intersection of the sets and is the set .
Intersection is denoted by the symbol , so the preceding example could be written . One can also use the symbol for intersection in the way one uses a capital sigma () for sums, i.e. is the intersection of the sets .
Properties
- For any sets , and . Thus if and only if .
See also
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