Category:Examples of Square Function

This category contains examples of Square Function.

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

Definition 1

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.

Definition 2

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 $x$.