# Category:Homogeneous Functions

This category contains results about Homogeneous Functions.
Definitions specific to this category can be found in Definitions/Homogeneous Functions.

Let $V$ and $W$ be two vector spaces over a field $F$.

Let $f: V \to W$ be a function from $V$ to $W$.

Then $f$ is homogeneous of degree $n$ if and only if:

$f \left({\alpha \mathbf v}\right) = \alpha^n f \left({\mathbf v}\right)$

for all nonzero $\mathbf v \in V$ and $\alpha \in F$.

## Pages in category "Homogeneous Functions"

This category contains only the following page.