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Summary Of: Divergence

the divergence of a vector field is a... the divergence of the velocity field would have a positive value because the air expands... The divergence could be thought of as a measure of the change in density... A vector field that has zero divergence everywhere is called... the divergence of a three dimensional vector field is the extent to which the vector field flow... If the divergence is nonzero at some point then there must be a source or sink at that... is the divergence of the field... with zero divergence is defined on a ball in... One can establish a parallel between the divergence and a particular case of the exterior derivative... The divergence of a vector field can be defined in any number of dimensions... the divergence is a linear operator... The divergence can be defined on any manifold of dimension... The divergence is then the function defined by... This means that the divergence measures the rate of expansion of a volume element as we let it flow with... On a Riemannian or Lorentzian manifold the divergence with respect to the metric volume form can be computed in terms of the... DIVERGENCE of a Vector Field... DIVERGENCE of a Vector Field...

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Divergence (disambiguation) | div (disambiguation) | vector calculus | operator | vector field | sink | vector field | velocity | solenoidal | Cartesian coordinates | Euclidean space | basis | unit vectors | continuously differentiable | vector field | scalar | orthogonal transformations | dot product | del | abuse of notation | derivative | net flow | sphere | volume | surface integral | divergence theorem | Helmholtz decomposition | Curl | electrodynamics | Helmholtz decomposition | calculus | linear operator | real numbers | product rule | cross product | curl | Laplacian | scalar field | curl | Poincaré lemma | homology | chain complex | de Rham cohomology | exterior derivative | Hodge star operator | Riemannian | Lorentzian manifold | Lie derivative | Levi Civita connection | Divergence theorem | Curl | Gradient | Nabla in cylindrical and spherical coordinates | 1999 | 04-07 | 2007 | 09-28 | ISBN 0-486-41147-8 | Categories | Vector calculus |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Divergence".