\begin{definition}[Definition:Divergence Operator/Geometrical Representation]
Let $R$ be a region of space embedded in a Cartesian coordinate frame.
Let $\mathbf V$ be a vector field acting over $R$.
The '''divergence''' of $\mathbf V$ at a point $A$ in $R$ is defined as:
:$\operatorname {div} \mathbf V = \dfrac {\partial V_x} {\partial x} + \dfrac {\partial V_y} {\partial y} + \dfrac {\partial V_z} {\partial z}$
where:
:$V_x$, $V_y$ and $V_z$ denote the magnitudes of the components of $\mathbf V$ in the directions of the coordinate axes $x$, $y$ and $z$ respectively.
\end{definition}