\begin{definition}[Definition:Homogeneous Function/Zero Degree]
Let $V$ and $W$ be two vector spaces over a field $F$.
Let $f: V \to W$ be a function from $V$ to $W$.
$f$ is a '''homogeneous function of degree zero''' {{iff}}:
:$\map f {\alpha \mathbf v} = \alpha^0 \map f {\mathbf v} = \map f {\mathbf v}$
Category:Definitions/Homogeneous Functions
\end{definition}