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Cartesian Product

The Cartesian product is a mathematical operation that returns a set from multiple sets. It is denoted by the symbol "×" or by the word "cartesian". The resulting set contains all possible combinations of the elements from the sets.

Examples

As a Noun:

1. The cartesian product of set A and set B is written as A × B.
2. The cartesian product of {1, 2} and {a, b} is {(1, a), (1, b), (2, a), (2, b)}.
3. In mathematics, the cartesian product allows us to describe relationships between two or more sets.

As a Verb:

1. To cartesian product two sets, list all possible ordered pairs by combining one element from each set.
2. Once you cartesian product the sets, analyze the resulting combinations.
3. We need to cartesian product the sets to explore all possibilities.

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