tensor quantity造句

The duality between covariance and contravariance intervenes whenever a vector or tensor quantity is represented by its components, although modern differential geometry uses more sophisticated index-free methods to represent tensors.
The split between the time component and the spatial components is a useful one to make when determining contractions of one four vector with other tensor quantities, such as for calculating Lorentz invariants in inner products ( examples are given below ), or raising and lowering indices.
These observations generalize in an obvious way to more factors, and using the fact that a general tensor on a vector space can be written as a sum of a coefficient ( component ! ) times tensor products of basis vectors and basis covectors, one arrives at the transformation law for any tensor quantity.
The "'stress energy tensor "'( sometimes "'stress energy momentum tensor "'or "'energy momentum tensor "') is a tensor quantity in physics that describes the density and flux of energy and momentum in spacetime, generalizing the force fields.
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