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Summing tensors in mathematica
How do I perform the following summation in mathematica?
\begin{equation}
\Sigma_{m=1}^5 e_{ijklm}A^{mn}
\end{equation}
I have the $e_{ijklm}$ tensor of rank 5 in 5 dimension as a array and $A^{mn}$ ...
5
votes
3answers
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Ways to compute inner products of tensors
One way to evaluate the following sums is combining Table and Sum:
$u_{abcd} = \sum_{e=1}^3 v_{aeb}w_{ced}$
$q_{ab} = \sum_{d,e=1}^3 v_{d e a}w_{deb}$
It will look like
...
