# Definition:Homogeneous Function/Real Space/Degree

Let $f: \R^2 \to \R$ be a homogeneous function of two variables:
$\exists n \in \Z: \forall t \in \R: f \left({t x, t y}\right) = t^n f \left({x, y}\right)$
The integer $n$ is known as the degree of $f$.