cartesian product in English

noun
1
the product of two sets: the product of set X and set Y is the set that contains all ordered pairs ( x , y ) for which x belongs to X and y belongs to Y.
A joint paper on symmetric products introduced an idea that modifies the definition of Cartesian product and leads to the construction of some curious manifolds.

Use "cartesian product" in a sentence

Below are sample sentences containing the word "cartesian product" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "cartesian product", or refer to the context using the word "cartesian product" in the English Dictionary.

1. Since the Cartesian product \(\mathbb{R} ^2\) corresponds to the Cartesian plane, the Cartesian product of two subsets of \(\mathbb{R}\) corresponds to a subset of the Cartesian plane

2. Cartesian Product is the multiplication of two sets to form the set of all ordered pairs

3. The Cartesian JOIN or CROSS JOIN returns the Cartesian product of the sets of records from two or more joined tables

4. There are other cases that reflect that A may not be a simple abelian variety (it might be a cartesian product of elliptic curves, for example).