<P> The notion of transformation generalized to partial functions . A partial transformation is a function f: A → B, where both A and B are subsets of some set X . </P> <P> The set of all transformations on a given base set together with function composition forms a regular semigroup . </P> <P> For a finite set of cardinality n, there are n transformations and (n + 1) partial transformations . </P>

What is the difference between transformation and translation in math