product

The word   in mathematics generally means the result of some of multiplication operation, i.e. (http://planetmath.org/Ie) of certain of mapping$X\!\times\!X\rightarrow Y$; such operations are commonly distributive over the addition operation of $X$ if it is defined.

If $x_{1}$ and $x_{2}$ are two elements of the set $X$, giving the product  $y\in Y$, then $x_{1}$ and $x_{2}$ are in general called the factors of this product.

Some most usual products are

Such kinds of product that are associative, allow to form a product of more than two factors, which is justified by the theorem in the entry general associativity.  E.g. the usual product of the integers from 1 to $n$ is the factorial of $n$.

Title product Product 2013-03-22 15:45:22 2013-03-22 15:45:22 pahio (2872) pahio (2872) 10 pahio (2872) Definition msc 03E20 Multiplication RuleOfProduct FrobeniusProduct factor factor of a product