Definition:Square/Function/Definition 2

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:

$\forall x \in \F: \map f x = x^2$

where $x^2$ denotes the $2$nd power of $x$.

Also see

• Equivalence of Definitions of Square Function