Definition:Homogeneous Function/Zero Degree
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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 if and only if:
- $\map f {\alpha \mathbf v} = \alpha^0 \map f {\mathbf v} = \map f {\mathbf v}$