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Density on a manifold

In mathematics, and specifically differential geometry, a density is a spatially varying quantity on a differentiable manifold that can be integrated in an intrinsic manner. Abstractly, a density is a section of a certain line bundle, called the density bundle. An element of the density bundle at x is a function that assigns a volume for the…

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Motivation (densities in vector spaces)

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Density on a manifold

Nodes39
Edges38
Triples0
Avg. degree1.95
Density0.051282
Components1

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density bundle vector densities space s-densities coordinate volume tensor manifold displaystyle vectors 1-densities manifolds product multiplied jacobian section parallelotope general

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