BUILT-IN MATHEMATICA SYMBOL
TensorReduce
TensorReduce[texpr]
attempts to return a canonical form for the symbolic tensor expression texpr.
- TensorReduce converts polynomials of symbolic tensor expressions containing arbitrary combinations of TensorProduct, TensorContract, and TensorTranspose into a canonical form with respect to symmetries.
- If an expression is found to be equivalent to a zero tensor due to symmetry, the result will be 0.
- If TensorDimensions[ten] does not return a list of dimensions, then the expression ten is returned unchanged.
Specify the properties of symbolic arrays:
The trace of an antisymmetric matrix vanishes:
| Out[2]= |  |
The contraction of a symmetric and an antisymmetric pair vanishes:
| Out[3]= |  |
Reorder tensor products lexicographically:
| Out[4]= |  |
New in 9
