Definition:Reversed Contour/Complex Plane

Definition
Let $C$ be a contour in the complex plane $\C$.

Then $C$ is defined as a concatenation of a finite sequence $\sequence{ C_1, \ldots, C_n }$ of directed smooth curves in $\C$.

The reversed contour of $C$ is denoted $-C$ and is defined as the concatenation of the finite sequence :


 * $-C_n, -C_{n-1}, \ldots, -C_1$

where $-C_i$ is the reversed directed smooth curve of $C_i$ for all $i \in \left\{ {1, \ldots, n}\right\}$.

Also denoted as
The reversed contour of $C$ is denoted as $C^-$ in some texts.

Also see

 * Reversed Complex Contour is Contour: demonstration that this defines a contour.