Definition:Real Function/Multivariable

Definition
Let $f: S_1 \times S_2 \times \cdots \times S_n \to \R$ be a mapping where $S_1, S_2, \ldots, S_n \subseteq \R$.

Then $f$ is defined as a (real) function of $n$ (independent) variables.

The expression:
 * $y = \map f {x_1, x_2, \ldots, x_n}$

means:
 * (The dependent variable) $y$ is a function of (the independent variables) $x_1, x_2, \ldots, x_n$.

Also see

 * Definition:Real-Valued Function