Intersection

\cap

The intersection of two sets is the set consisting of only the elements that appear in both sets.

  • ABA \cap B denotes the intersection of sets AA and BB.
    • ex. GD={Alice}G \cap D = \{Alice\} means that "Alice is a part of both set AA and set BB".

Two sets whose intersection is the empty set (in other words, have no element in common) are called disjoint.

Example: Yelp

  • A=A = The set of Yelp users who like Biz1
  • B=B = The set of Yelp users who like Biz2

The set ABA \cap B is the set of users that liked both Biz1 and Biz2


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