Relative scalar: Difference between revisions

Revision as of 21:25, 3 October 2012

Revision as of 21:29, 3 October 2012

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: <math> J = \begin{vmatrix} \displaystyle \frac{\partial(x_1,\ldots,x_n)}{\partial(\bar{x}^1,\ldots,\bar{x}^n)} \end{vmatrix} , </math>

that is, the determinant of the Jacobian of the transformation.<ref name=lovelock>{{cite book| last|last1=Lovelock| first|first1=David |last2=Rund |first2=Hanno |authorlink2=Hanno Rund |title=Tensors, Differential Forms, and Variational Principles |date=1 April 1, 1989 | publisher=Dover | isbn=0-486-65840-6 | pages=400 | url=http://store.doverpublications.com/0486658406.html | coauthors=Rund | accessdate=19 April 2011 | page=103 | format=Paperback | chapter=4 | page=103}}</ref> Relative scalars are an important special case of the more general concept of a [[relative tensor]].

==Ordinary scalar==