Symmetric tensor: Difference between revisions

Revision as of 01:28, 9 March 2014

Revision as of 21:32, 30 March 2014

Line 2:

:<math>T(v_1,v_2,\dots,v_r) = T(v_{\sigma 1},v_{\sigma 2},\dots,v_{\sigma r})</math>

for every permutation &sigma; of the symbols {1,2,...,''r''}.

Alternatively, ana symmetric tensor of order ''r''^th order symmetric tensor represented in coordinates as a quantity with ''r'' indices satisfies

:<math>T_{i_1i_2\dots i_r} = T_{i_{\sigma 1}i_{\sigma 2}\dots i_{\sigma r}}.</math>