The function $$f(u,v,w) = \left(uv,w,uw,v,vw,u\right)$$ has input variables and a dimensional output. Thus it is of the form $$f \colon \mathcal{U}\subseteq\mathbb{R}^n \to \mathbb{R}^m$$ where $\mathcal{U}$ is a nonempty open subset on which $f$ is defined, and $n$ = and $m$ = .