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 documentation:ref:fullysymmetrize [2015/11/21 10:42]poslavskysv [Examples] documentation:ref:fullysymmetrize [2015/11/21 12:33] (current) Both sides previous revision Previous revision 2015/11/21 10:44 poslavskysv [Examples] 2015/11/21 10:42 poslavskysv [Examples] 2015/11/21 10:42 poslavskysv [Examples] 2015/11/21 10:42 poslavskysv [Examples] 2015/11/21 10:37 poslavskysv [Examples] 2015/11/21 10:35 poslavskysv created Next revision Previous revision 2015/11/21 10:44 poslavskysv [Examples] 2015/11/21 10:42 poslavskysv [Examples] 2015/11/21 10:42 poslavskysv [Examples] 2015/11/21 10:42 poslavskysv [Examples] 2015/11/21 10:37 poslavskysv [Examples] 2015/11/21 10:35 poslavskysv created Line 26: Line 26: +(1/​6)*t^{cd}_{e}*f_{bacd}+(1/​6)*t^{cd}_{b}*f_{aecd} +(1/​6)*t^{cd}_{e}*f_{bacd}+(1/​6)*t^{cd}_{b}*f_{aecd} +(1/​6)*t^{cd}_{b}*f_{eacd}+(1/​6)*t^{cd}_{a}*f_{becd} +(1/​6)*t^{cd}_{b}*f_{eacd}+(1/​6)*t^{cd}_{a}*f_{becd} - (1/​3)*f_{iab}*f^{i}_{cd}+(1/​3)*f_{iad}*f^{i}_{bc}+(1/​3)*f_{iac}*f^{i}_{bd} ​ ---- ---- Line 41: Line 40: Symmetries will be taken into account: Symmetries will be taken into account: - println FullySymmetrize >> 'f_abc'.t + setSymmetric '​f_abc'​ + println FullySymmetrize >> 'f_iab*f^i_cd'.t - > (1/6)*f_{bac}+(1/6)*f_{cab}+(1/6)*f_{abc}+(1/6)*f_{bca}+(1/6)*f_{acb}+(1/6)*f_{cba} + > (1/3)*f_{iad}*f^{i}_{bc}+(1/3)*f_{iac}*f^{i}_{bd}+(1/3)*f_{iab}*f^{i}_{cd} ​ + + ====See also==== + * Related guides: [[documentation:​guide:​applying_and_manipulating_transformations]],​ [[documentation:​guide:​symmetries_of_tensors]],​ [[documentation:​guide:​tensors_and_indices]], ​ [[documentation:​guide:​list_of_transformations]] + * Related transformations:​ [[documentation:​ref:​symmetrize]], ​ [[documentation:​ref:​fullyantisymmetrize]] +