Product

noun
1.
a thing produced by labor:
products of farm and factory; the product of his thought.
2.
a person or thing produced by or resulting from a process, as a natural, social, or historical one; result:
He is a product of his time.
3.
the totality of goods or services that a company makes available; output:
a decrease in product during the past year.
4.
Chemistry. a substance obtained from another substance through chemical change.
5.
Mathematics.

the result obtained by multiplying two or more quantities together.
intersection (def 3a).

noun
1.
something produced by effort, or some mechanical or industrial process
2.
the result of some natural process
3.
a result or consequence
4.
a substance formed in a chemical reaction
5.
(mainly US) any substance used to style hair, such as gel, wax, mousse, or hairspray
6.
(maths)

the result of the multiplication of two or more numbers, quantities, etc
Also called set product another name for intersection (sense 3)

7.
See Cartesian product

product prod·uct (prŏd’əkt)
n.

Something produced by human or mechanical effort or by a natural process.

A substance resulting from a chemical reaction.

product
(prŏd’əkt)
A number or quantity obtained by multiplication. For example, the product of 3 and 7 is 21.
mathematics, programming
An expression in mathematics or computer programming consisting of two other expressions multiplied together. In mathematics, multiplication is usually represented by juxtaposition, e.g. “x y”, whereas in programming, “*” is used as an infix operator, e.g. “salary * tax_rate.
In the most common type of product, each operand is a number (integer, real number, fraction or imaginary number) but the term extends naturally to cover more complex operations like multiplying a string by an integer (e.g., in Perl, “foo” x 2) or multiplying vectors and matrices or more than two operands.
In type systems, a tuple is sometimes known as a “product type”.
(2006-10-12)