Cylindrical coordinates

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The cylindrical coordinates Hepa img229.gif are related to Cartesian coordinates (x,y,z) by:

Hepa img230.gif

The matrix A ( Hepa img2.gif Coordinate Systems) relating the two sets of unit vectors is:

Hepa img231.gif

The volume element is Hepa img232.gif , and the distance element is Hepa img233.gif .

The Laplace differential equation

Hepa img234.gif

becomes in cylindrical coordinates

Hepa img235.gif




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