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## Curl |

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z | overview |

Let be a differentiable vector field defined on a region and given by

Then its curl is defined as

Formally with the curl may be calculated as follows

For - dimensional vector fields given by

a scalar curl is defined as

If one extends to a - dimensional vector field putting and computes the curl of , then the scalar curl is just the third component of

()

**Annotation:**

- Beweis: Rotation (german)

automatically generated 8/ 1/2011 |