Category:Homogeneous Functions
Jump to navigation
Jump to search
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 $\GF$.
Let $f: V \to W$ be a function from $V$ to $W$.
Then $f$ is homogeneous of degree $n$ if and only if:
- $\map f {\alpha \mathbf v} = \alpha^n \map f {\mathbf v}$
for all nonzero $\mathbf v \in V$ and $\alpha \in \GF$.
Pages in category "Homogeneous Functions"
This category contains only the following page.