Definition:Homogeneous Function/Zero Degree

Definition
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 :
 * $f \left({\alpha \mathbf v}\right) = \alpha^0 f \left({\mathbf v}\right) = f \left({\mathbf v}\right)$