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Results tagged with tensors
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user 63584
Use this tag for questions that involve tensors. Tensors are fundamental tools for linear computations, generalizing vectors and matrices to higher ranks. Mathematica 9 introduces powerful methods to algebraically manipulate tensors with any rank and symmetry.
6
votes
Accepted
Efficient way to MapApply for Tensor
Note that f[#1, #2, #3, #4] & is just f—this substitution by itself saves some time—and that Apply (@@@) has a secret levelspec argument! You want {2}, i.e. Apply[f, ATensor, {2}].
Note also that you' …
- 9,080
2
votes
Accepted
Simplifying cross product expressions II
Note that you can give assumptions to TensorExpand:
TensorExpand[Cross[F3[R + 3 a], F[R + 4 a] - F2[R + 2 a]],
Assumptions -> {a \[Element] Reals}]
(* Out:
-F[R]\[Cross]F3[R] - 3 a F[R]\[Cross]De …
- 9,080
6
votes
Accepted
How to state nontrivial tensor symmetry assumptions?
From a small note in the documentation for Arrays,
The symmetry sym can be given in several forms. First, it can be given as expressions like Symmetric[{s_i, ..., s_k}] or Antisymmetric[{s_i,...,s …
- 9,080