# Definition:Real Function/Two Variables

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## Definition

Let $f: S \times T \to \R$ be a mapping where $S, T \subseteq \R$.

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

The expression:

- $z = f \left({x, y}\right)$

means:

- (The dependent variable) $z$ is a function of (the independent variables) $x$ and $y$.