Cartesian Product of Sets
The Cartesian product of set A by set B is the set of all ordered pairs for which the origin is an element of set A and the endpoint is an element in set B.
Symbol
The symbolism "A ☓ B" is read as: "A Cartesian product B".- The Cartesian product is not commutative.
- The Cartesian product is also defined by: A ☓ B = {(x, y) | x ∈ A ∧ y ∈ B}.
- The Cartesian product A ☓ A is generally noted as A[latex]^{2}[/latex] and is called the Cartesian square of A.