Two quantities are said to be different (or ``unequal'') if they are not Equal.

The term ``different'' also has a technical usage related to Modules. Let a Module in an
Integral Domain for be expressed using a two-element basis as

where and are in . Then the different of the Module is defined as

The different Iff and are linearly independent. The Discriminant is defined as the square of the different.

**References**

Cohn, H. *Advanced Number Theory.* New York: Dover, pp. 72-73, 1980.

© 1996-9

1999-05-24