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Mathematical set problem: does 0 belong to n set, z set and N* set?
0 belongs to n set, and z set does not belong to N* set.

Here, the definitions of N-set, Z-set and N*-set need to be clear:

1, n set: the set of all non-negative integers is usually called non-negative integer set (or natural number set), and 0 belongs to n set;

2.Z set: the set of all integers is usually called integer set, and 0 belongs to Z set;

3.N* set: a set excluding 0 from the set of non-negative integers, and 0 does not belong to the N* set.

Extended data:

Operation of sets:

1, set the switching rule:

A∩B=B∩A

A∪B=B∪A

2, set associative law:

(A∩B)∩C=A∩(B∩C)

(A∪B)∪C=A∪(B∪C)

3, set the distribution law:

A∩(B∪C)=(A∪B)∩(A∪C)

A ∪( B∪C)=(A∪B)∪( A∪C)