Volume Form
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Beschrijving
Bol
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a volume form on a differentiable manifold is a nowhere vanishing differential form of top degree. A volume form provides a means to define the integral of a function on a differentiable manifold. In other words, a volume form gives rise to a measure with respect to which functions can be integrated by the appropriate Lebesgue integral. The absolute value of a volume form is a volume element, which is also known variously as a twisted volume form or pseudo-volume form. It also defines a measure, but exists on any differentiable manifold, orientable or not.
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a volume form on a differentiable manifold is a nowhere vanishing differential form of top degree. A volume form provides a means to define the integral of a function on a differentiable manifold. In other words, a volume form gives rise to a measure with respect to which functions can be integrated by the appropriate Lebesgue integral. The absolute value of a volume form is a volume element, which is also known variously as a twisted volume form or pseudo-volume form. It also defines a measure, but exists on any differentiable manifold, orientable or not.
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