Definition:Homogeneous Function/Real Space/Zero Degree
< Definition:Homogeneous Function | Real Space(Redirected from Definition:Homogeneous Real Function of Zero Degree)
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Definition
Let $f: \R^2 \to \R$ be a real-valued function of two variables.
$\map f {x, y}$ is a homogeneous function of degree zero or of zero degree if and only if:
- $\forall t \in \R: \map f {t x, t y} = t^0 \map f {x, y} = \map f {x, y}$