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## Laplace Operator and Harmonic Functions |

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 twice differentiable scalar function. Then

As divergence and curl the operator is invariant under orthogonal coordinate transformations.

is called harmonic provided

A typical example of a harmonic function is

()

**see also:**

- Keyword: Laplace operator
- Keyword: Differential operator

[Examples]

automatically generated 7/ 5/2005 |