product vs Cartesian product

product and Cartesian product both are nouns.

Word	Noun	Adjective	Verb	Adverb
product	Yes	No	No	No
Cartesian product	Yes	No	No	No

As nouns, product and Cartesian product are synonyms defined as:

product and Cartesian product: the set of elements common to two or more sets

Other synonyms of product include intersection.

product (noun)	Cartesian product (noun)
an artifact that has been created by someone or some process	the set of elements common to two or more sets
items for sale to the individual consumer
a quantity obtained by multiplication
the set of elements common to two or more sets
a consequence of someone's efforts or of a particular set of circumstances
a chemical substance formed as a result of a chemical reaction