Relative scalar

In mathematics, a relative scalar (of weight w) is a scalar-valued function whose transform under a coordinate transform,

on an n-dimensional manifold obeys the following equation

where

that is, the determinant of the Jacobian of the transformation. A scalar density refers to the $w=1$ case.

单词	Scalar density
释义	Scalar density 英语百科 Relative scalar In mathematics, a relative scalar (of weight w) is a scalar-valued function whose transform under a coordinate transform, on an n-dimensional manifold obeys the following equation where that is, the determinant of the Jacobian of the transformation. A scalar density refers to the $w=1$ case.
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Scalar density