Definition:Homogeneous Function/Real Space/Degree

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Definition

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 $f$.


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