How can I implement the function arrow notation in a multivariable function?
I know that $f:\mathbb{R}\rightarrow\mathbb{Z}$ means that the domain is $\mathbb{R}$ and the range is $\mathbb{Z}$ for example a function $f(x)=\lfloor x \rfloor$, but what in a multivariable function, for example:
$$f(z,x)=w$$ $$z,w\in\mathbb{C},x\in\mathbb{R}$$
How would this be expressed?
It would be expressed as $$f: \mathbb{C} \times \mathbb{R} \to \mathbb{C}$$ where $(z,x) \in \mathbb{C} \times \mathbb{R}$. This means the function maps an ordered pair $(z,x)$, where the first entry is a complex number and the second entry is a real number, to a complex number $w \in \mathbb{C}$.