M.Fattah Discrete Mathematics 1.Sets workbook - 1

• The power set is a set which includes all the subsets including the empty set and the original set itself. It is usually denoted by P.
• Z denotes the set of integers
• An integer is the number zero (0), a positive natural number (1, 2, 3, etc.) or a negative integer with a minus sign (−1, −2, −3, etc.).

Real Number

Subset

• Cardinality is the number of elements in a given mathematical set
• The power set is the set that contains all subsets of a given set.

Cartesian Product 1

Cartesian Product 2

• A × A × A = {(a, b, c) : a, b, c ∈ A}