Cartesian product

$Example sets A=y∈ℝ:1≤y≤4, B=x∈ℝ:2≤x≤5, and C=x∈ℝ:4≤x≤7, demonstrating A×(B∩C)=(A×B)∩(A×C), A×(B∪C)=(A×B)∪(A×C), and A×(B\C)=(A×B)\(A×C).$

In mathematics, a Cartesian product is a mathematical operation which returns a set (or product set or simply product) from multiple sets. That is, for sets A and B, the Cartesian product A × B is the set of all ordered pairs (a, b) where a ∈ A and b ∈ B. Products can be specified using set-builder notation, e.g.

单词	Product of sets
释义	Product of sets 英语百科 Cartesian product $Example sets A=y∈ℝ:1≤y≤4, B=x∈ℝ:2≤x≤5, and C=x∈ℝ:4≤x≤7, demonstrating A×(B∩C)=(A×B)∩(A×C), A×(B∪C)=(A×B)∪(A×C), and A×(B\C)=(A×B)\(A×C).$ In mathematics, a Cartesian product is a mathematical operation which returns a set (or product set or simply product) from multiple sets. That is, for sets A and B, the Cartesian product A × B is the set of all ordered pairs (a, b) where a ∈ A and b ∈ B. Products can be specified using set-builder notation, e.g.
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Product of sets

Cartesian product