= 1, from which the result stated immediately follows.

This transformation is homogeneous and of the first degree in the

. On account of this transformation, the

, are called components of a tensor of the second rank (the latter on account of the double index). If all the components,

, of a tensor with respect to any system of Cartesian co-ordinates vanish, they vanish with respect to every other Cartesian system. The form and the position of the surface of the second degree is described by this tensor (

).