1.2 - Relations between collection

1. Concept

1.1 empty set

  • definition

    Does not contain any element of the collection is called the empty set , denoted by Ø
    empty set can be symbolized as Ø = {x | x ≠ x }
    empty set is absolutely unique
    empty set is non-empty subset of any set of

  • Examples
    set A = {x | x $ \ in $ R, x $ ^ 2 $ <0}, then Ø = A
    | Ø | = 0, | {Ø} |. 1 =

1.2 Collection

  • definition

    For a particular range, we consider the collection of all objects called corpus , referred to as U or E
    is generally rectangular in use the Venn diagram showing corpus
    corpus is relatively unique

  • For example
    in solid geometry, Collection of all points in space is composed
    in our census, corpus is composed of all

2. The relationship between the set

2.1 equal relationship

2.2 contains relations

  • eg1: two sets proved equally

  • N subset element sets: eg2

3. The power set

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Origin www.cnblogs.com/liujiaqi1101/p/12214539.html