Fr.: densité de tenseur
A generalization of the tensor concept that like a tensor transforms, except for the appearance of an extra factor, which is the → Jacobian matrix of the transformation of the coordinates, raised to some power, in transformation law. The exponent, which is a positive or negative integer, is called the weight of the tensor density. → weight of a tensor density. Ordinary tensors are tensor densities of weight 0. Tensor density is also called → relative tensor.
weight of a tensor density
vazn-e cagâli-ye tânsor
Fr.: poids d'une densité de tenseur
A constant the value of which is characteristic for any given → tensor density.