# Definition:Reversed Contour

## Contents

## Definition

Let $\R^n$ be a real cartesian space of $n$ dimensions.

Let $C$ be a contour in $\R^n$.

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

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 Contour is Contour: demonstration that this defines a contour.

## Sources

- 2001: Christian Berg:
*Kompleks funktionsteori*: $\S 2.2$