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documentation:ref:fullysymmetrize [2015/11/21 10:37] poslavskysv [Examples] |
documentation:ref:fullysymmetrize [2015/11/21 10:44] poslavskysv [Examples] |
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| +(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} | + | </sxh> |
| + | ---- | ||
| + | Symmetrize only with respect to particular indices: | ||
| + | <sxh groovy; gutter: false> | ||
| + | println FullySymmetrize['_ae'.si] >> 'f_abcd*t^cd_e + f_bacd*t^dc_e + f_becd*t^dc_a'.t | ||
| + | </sxh> | ||
| + | <sxh plain; gutter: false> | ||
| + | > f_{bacd}*t^{dc}_{e}+f_{becd}*t^{dc}_{a}+(1/2)*f_{ebcd}*t^{cd}_{a} | ||
| + | +(1/2)*f_{abcd}*t^{cd}_{e} | ||
| + | </sxh> | ||
| + | |||
| + | ---- | ||
| + | Symmetries will be taken into account: | ||
| + | <sxh groovy; gutter: false> | ||
| + | setSymmetric 'f_abc' | ||
| + | println FullySymmetrize >> 'f_iab*f^i_cd'.t | ||
| + | </sxh> | ||
| + | <sxh plain; gutter: false> | ||
| + | > (1/3)*f_{iad}*f^{i}_{bc}+(1/3)*f_{iac}*f^{i}_{bd}+(1/3)*f_{iab}*f^{i}_{cd} | ||
| </sxh> | </sxh> | ||
| + | ====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]] | ||