Definition:Square/Function/Definition 1

Definition

Let $\GF$ denote one of the standard number systems: $\N$, $\Z$, $\Q$, $\R$, $\C$.

The square (function) on $\GF$ is the mapping $f: \GF \to \GF$ defined as:

$\forall x \in \GF: \map f x = x \times x$

where $\times$ denotes multiplication.

Also see

• Equivalence of Definitions of Square Function