High Quality Content by WIKIPEDIA articles! In mathematics, a volume element provides a means for integrating a function with respect to volume in various coordinate systems such as spherical coordinates and cylindrical coordinates. More generally, a volume element is a measure on a manifold.On an orientable differentiable manifold, the volume element typically arises from a volume form: a top degree differential form. On a non-orientable manifold, the volume element is typically the absolute value of a (locally defined) volume form. It is a 1-density, and a pseudo-form in the sense of pseudotensors.

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