STAT W21 Lecture Notes - Lecture 14: Empty Set, Disjoint Sets
Document Summary
A set is a collection of things without regard to their order. Called the elements of the set or the members of the set. P(x) is called the predicate function of membership function. Venn diagrams represent sets and the relationships among sets pictorially. Complement of the set a is the set of all things in s that are not in a. Empty set: the set that has no elements. Intersection: the collection of elements they all have in common; the set of things. Complement of the universal set s say that a is a subset of b contained in each and every one of the sets. Union: the collection of things that are in at least one of the sets. Useful in untangling complicated relationships among sets. Disjoint or mutually exclusive: if their intersection is the empty set; that is, if the two.
