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set theory



SET THEORY – A set is an unordered collection of unique elements.

Let:

A = {1, 2, 3}

B = {3, 4, 5}

Notation Operation Python Result
A∩B Intersection print(A & B) { 3 }
A∪B Union print(A | B) { 1, 2, 3, 4, 5 }
A-B Difference (or relative complement) print(A – B) { 1, 2 }
B-A Difference (or relative complement) print(B – A) { 4, 5 }
A∆B Symmetric difference print(A ^ B) { 1, 2, 4, 5 }
A = {1, 2, 3}
B = {3, 4, 5}

print(A & B)
print(A | B)
print(A - B)
print(B - A)
print(A ^ B)