What is Cartesian product

The Cartesian product is a concept in set theory that represents the set of all possible ordered pairs in two sets. For example, if A and B are two sets, their Cartesian product A×B is a new set whose elements are ordered pairs of the form (a, b), where a belongs to the set A and b belongs to the set B.

The Cartesian product is a concept in set theory that represents the set of all possible ordered pairs in two sets. For example, if A and B are two sets, their Cartesian product A×B is a new set whose elements are ordered pairs of the form (a, b), where a belongs to the set A and b belongs to the set B.

Specifically, if set A contains elements {a, b} and set B contains elements {1, 2}, then their Cartesian product A×B contains the ordered pair {(a, 1) , (a, 2), (b, 1), (b, 2)}.

In mathematics and computer science, the Cartesian product is often used to describe the combination of multiple sets, such as join operations in relational databases, or in permutation and combination problems in discrete mathematics. The concept of Cartesian product will be involved.

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