Definition:Generator for Pythagorean Triple

Definition
Let $P = \left\{ {a, b, c}\right\}$ be a Pythagorean triple

A generator for $P$ is an ordered pair:
 * $G = \left({m, n}\right)$

where $m, n \in \Z$ such that:
 * $a = 2 m n$
 * $b = m^2 - n^2$
 * $c = m^2 + n^2$

Also see

 * Solutions of Pythagorean Equation
 * Definition:Generator for Primitive Pythagorean Triple