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Old   June 7, 2005, 21:13
Default tensor terms
  #1
student
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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

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Old   June 8, 2005, 03:05
Default Re: tensor terms
  #2
upwind
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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.
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Old   June 8, 2005, 03:50
Default Re: tensor terms
  #3
Praveen
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It is equal to the following triple sum, where each summation is over the entire range of the index value

&sum;<sub>i</sub> &sum;<sub>j</sub> &sum;<sub>k</sub>A<sub>ij</sub> B<sub>jk</sub> S<sub>ki</sub>

If the indices vary over 1,2,3 then there are 27 terms in the above sum. The resultant is a scalar quantity.
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Old   June 8, 2005, 04:15
Default Re: tensor terms
  #4
student
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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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