Tue Nov 14 16:30:46 2023

set_theory_test():
  Python version: 3.8.10
  set_theory() demonstrates some set theory operations.

  Let U be the "universal" set.
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50}

  len(U) counts the elements.
50

  Find A: x in u with mod(x,5)=2.
{32, 2, 37, 7, 42, 12, 47, 17, 22, 27}

  Define B as 3, 6, 9, 12, ..., 48.
{33, 3, 36, 6, 39, 9, 42, 12, 45, 15, 48, 18, 21, 24, 27, 30}

  Define C as complement of B relative to U.
{1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 47, 49, 50}

  Define D is intersection of A and B.
{42, 27, 12}

  Define E is union of A and B.
{2, 3, 6, 7, 9, 12, 15, 17, 18, 21, 22, 24, 27, 30, 32, 33, 36, 37, 39, 42, 45, 47, 48}

  Define F is symmetric difference of A and B.
{2, 3, 6, 7, 9, 15, 17, 18, 21, 22, 24, 30, 32, 33, 36, 37, 39, 45, 47, 48}

  Define G is the complement of B with respect to A.
         H is the complement of A with respect to B.
{32, 2, 37, 7, 47, 17, 22}
{33, 3, 36, 6, 39, 9, 45, 15, 48, 18, 21, 24, 30}

  x in A reports whether x is a member of A

   10  is not a member of A.
   11  is not a member of A.
   12  is a member of A.
   13  is not a member of A.
   14  is not a member of A.
   15  is not a member of A.
   16  is not a member of A.
   17  is a member of A.
   18  is not a member of A.
   19  is not a member of A.
   20  is not a member of A.

  ( I < A ) reports whether I is a proper subset of A

{42, 27, 12}
  I is a proper subset of A.

  J is set to numbers ending in 1.
{1, 41, 11, 21, 31}
  J.add(x) adds an item to the set.
{1, 6, 41, 11, 21, 31}
  J.remove(x) removes an item from the set.
{1, 6, 41, 11, 31}

  J.pop() returns an entry at random.
1
6
41
11
31

set_theory_test():
  Normal end of execution.

Tue Nov 14 16:30:47 2023