# tensor terms

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 June 7, 2005, 21:13 tensor terms #1 student Guest   Posts: n/a is the term (in tensor notation) A_i_j B_j_k S_k_i equivalent to : ( A_i_1 B_1_k + A_i_2 B_2_k + A_i_3 B_3_k ) S_k_i or if not can someone shed some light how to calculate the above mentioned terms

 June 8, 2005, 03:05 Re: tensor terms #2 upwind Guest   Posts: n/a There will be 27 terms in all since each of i, j, k are repeated and each index will take values 1,2,3. For every selection of two of the indices let the third index cycle through all its 3 values. For instance you could fix i and j and let k vary and then repeat the procedure for all 9 choices for i and j.

 June 8, 2005, 03:50 Re: tensor terms #3 Praveen Guest   Posts: n/a It is equal to the following triple sum, where each summation is over the entire range of the index value ∑ijkAij Bjk Ski If the indices vary over 1,2,3 then there are 27 terms in the above sum. The resultant is a scalar quantity.

 June 8, 2005, 04:15 Re: tensor terms #4 student Guest   Posts: n/a thanks people, if it will have 27 quantities then i have calculated it right, wanted to check with others, thanks again.

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