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ZixuanZhang
ZixuanZhang
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Cartesian Product

is the set of ordered pairs with and .

Definition 2.7 (Cartesian Product)
Given sets and , we can form their Cartesian product , which is the set of ordered pairs with and .

Ordered pairs and tuples

An ordered pair can be defined set-theoretically as . The product extends to ordered triples and beyond: for instance .

Related

Stated in