Ordered Pairs, Tuples, and Set Products
Ordered Pair
Two elements written in a specific order inside brackets.
Example: (A, △)
Set Product (×)
Combines every element of one set with every element of another set.
Example: {A, B} × {□, △} = {(A, □), (A, △), (B, □), (B, △)}
Tuple
A list of elements written in a specific order.
Example: (1, 2, 3)
k-Tuple
A tuple containing k number of elements.
Example: (x1, x2, x3, x4) is a 4-tuple
Sᵏ Notation
Repeats the same set product k times.
Example: N² means all pairs of natural numbers