Definition:Homogeneous Function/Real Space/Degree

Definition
Let $f: \R^2 \to \R$ be a homogeneous function of two variables:


 * $\exists n \in \Z: \forall t \in \R: \map f {t x, t y} = t^n \map f {x, y}$

The integer $n$ is known as the degree of $f$.