rule that assigns to every element in X a unique element in Y
Kabangu Kabanguje citiraoпре 3 године
The set X is the domain of the function and the set Y is its codomain. If
Kabangu Kabanguje citiraoпре 3 године
THEOREM 0.1.2 (De Morgan’s Laws)
(a) (A ∩ B)c = Ac ∪ Bc.
(b) (A ∪ B)c = Ac ∩ Bc.
Kabangu Kabanguje citiraoпре 3 године
region in the rectangle (which represents the universal set) that is outside the ellipses that represent the three sets is the absolute complement of the union of these three sets.
Kabangu Kabanguje citiraoпре 3 године
THEOREM 0.1.1 (Distributive Laws)
(a) A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C).
(b) A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).
Kabangu Kabanguje citiraoпре 3 године
A class C(X) of subsets of a set X is called a partition of X if (1) C(X) is pairwise disjoint, and (2) the union of the sets in C(X) is the set X
Kabangu Kabanguje citiraoпре 3 године
Two sets are disjoint if and only if their intersection is empty.
Kabangu Kabanguje citiraoпре 3 године
both set intersection and set union possess the associative property: (1) A ∩ (B ∩ C) = (A ∩ B) ∩ C and (2) A ∪ (B ∪ C) = (A ∪ B) ∪ C.