| Good. A scalar is a 1-tuple and a tensor of order 0. A vector is an n-tuple or a tensor of order 1. A matrix is an nxm tuple and is a tensor of order 2. Such a tensor is usually used to transform a vector in one vector space to another vector space (coordinate tranformations). However a matrix may also be used to describe the stress of a space in a particular coordinate system. There will then be a higher order tensor that can be used to transform that stress matrix or tensor into another coordinate space. And of course one can concoct physical concepts that require even higher order collections of nxmxp-tuples that will again need to be transformed from one space to another.
Starboy |