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## Main Question or Discussion Point

Greetings,

can somebody show me how to calculate such a term?

P= X E² where X is a third order tensor and E and P are 3 dimensional vectors.

Since the result is supposed to be a vector, the square over E is not meant to be the scalar product. But the tensor product of E with itself yields a matrix, and a 3 rank tensor times a matrix cannot be a vector, can it?

According to a book, the result for the components is P

Regards

can somebody show me how to calculate such a term?

P= X E² where X is a third order tensor and E and P are 3 dimensional vectors.

Since the result is supposed to be a vector, the square over E is not meant to be the scalar product. But the tensor product of E with itself yields a matrix, and a 3 rank tensor times a matrix cannot be a vector, can it?

According to a book, the result for the components is P

_{i}=∑_{j,k}X_{i,j,k}E_{j}E_{k}Regards