\begin{definition}[Definition:Contour/Closed]
Let $\R^n$ be a real cartesian space of $n$ dimensions.
Let $C$ be the '''contour''' in $\R^n$ defined by the (finite) sequence $\left\langle{C_1, \ldots, C_n}\right\rangle$ of directed smooth curves in $\R^n$.
Let $C_i$ be parameterized by the smooth path $\rho_i: \left[{a_i \,.\,.\, b_i}\right] \to \R^n$ for all $i \in \left\{ {1, \ldots, n}\right\}$.
$C$ is a '''closed contour''' {{iff}} the start point of $C$ is equal to the end point of $C$:
:$\rho_1 \left({a_1}\right) = \rho_n \left({b_n}\right)$
\end{definition}