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documentation:ref:fullysymmetrize [2015/11/21 10:42] poslavskysv [Examples] |
documentation:ref:fullysymmetrize [2015/11/21 12:33] (current) |
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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> | </sxh> | ||
| ---- | ---- | ||
| Line 41: | Line 40: | ||
| Symmetries will be taken into account: | Symmetries will be taken into account: | ||
| <sxh groovy; gutter: false> | <sxh groovy; gutter: false> | ||
| - | println FullySymmetrize >> 'f_abc'.t | + | setSymmetric 'f_abc' |
| + | println FullySymmetrize >> 'f_iab*f^i_cd'.t | ||
| </sxh> | </sxh> | ||
| <sxh plain; gutter: false> | <sxh plain; gutter: false> | ||
| - | > (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} |
| </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]] | ||
| + | |||