Set operation

  1. FiniteSet:{,...,}

    • {1,2,3} >>>{1,2,3}

  2. Interval(left close and right close):[,]

    • [1,3] >>>[1,3]

  3. Interval(left open and right open):(,)

    • (1,3) >>>(1,3)

  4. Interval(left close and right open):[,)

    • [1,3) >>>[1,3)

  5. Interval(left open and right close):(,]

    • (1,3] >>>(1,3]

  6. EmptySet:Φ

    • Φ >>>Φ

  7. Naturals set:N

    • N >>>N

  8. Positive integers set:N+

    • N+ >>>N+

  9. Integers set:Z

    • Z >>>Z

  10. Reals set:R

    • R >>>R

  11. Contain:∈

    • ∈(1,N) >>>True

  12. Subset:⊆

    • ⊆(Φ,N) >>>True

    • ⊆([1,3],[1,9]) >>>True

  13. Proper subset:⫋

    • ⫋(Φ,R) >>>True

    • ⫋([1,3],[1,3]) >>>False

  14. Intersection:∩

    • ∩(N,N) >>>N

    • ∩([1,3],[1,2]) >>>[1,2])

  15. Union:∪

    • ∪([1,3],[1,9]) >>>[1,9])

  16. Complement:CA(B)

    • A=[1,3] B=[1,2] CA(B) >>>(2,3]

  17. +

    • [1,3]+{12} >>>[1,3]∪{12}

  18. -

    • [1,3]-{2} >>>[1,2)∪(2,3]