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  • #REDIRECT [[Levi-Civita symbol]]
    32 bytes (3 words) - 14:19, 1 January 2011
  • The '''Levi-Civita symbol''', usually denoted as &epsilon;<sub>''ijk''</sub>, is a notational conveni ...s are interchanged, that is, it is antisymmetric. In different words, the Levi-Civita symbol with three indices equals the ''sign'' of the [[permutation]] (''ijk'').<re
    3 KB (390 words) - 11:35, 12 March 2011
  • ...with three indices in three dimensions. Its components are given by the [[Levi-Civita symbol]].
    167 bytes (21 words) - 22:43, 2 January 2011
  • ...h three indices in three dimensions, and its components are given by the [[Levi-Civita symbol]]. Both the symbol and the tensor are named after the Italian mathematician ...id=Kg2ZjUmOB9EC&pg=PT386 |pages=p. 370|chapter=§9.2 Alternating tensor (or Levi-Civita symbol) |isbn=8120338669 |publisher=Prentice-Hall of India Pvt.Ltd |year=2009}}
    2 KB (332 words) - 04:25, 12 October 2013
  • {{r|Levi-Civita symbol}}
    852 bytes (136 words) - 21:22, 2 January 2011
  • In terms of the antisymmetric [[Levi-Civita symbol]] &epsilon;<sub>&alpha;&beta;&gamma;</sub>:
    7 KB (1,067 words) - 07:27, 23 October 2021
  • where <math>\varepsilon_{klm}</math> is the [[Levi-Civita permutation symbol|Levi-Civita symbol]],
    16 KB (2,632 words) - 04:33, 23 September 2021
  • ...operator. The quantity <math>\scriptstyle \epsilon_{klm} </math> is the [[Levi-Civita symbol]].
    11 KB (1,759 words) - 10:02, 2 August 2008
  • :where <math>\varepsilon_{ijk}</math> is the [[Levi-Civita symbol]], <math>\delta_{ij}</math> is the [[Kronecker delta]], and I is the ident
    7 KB (1,096 words) - 05:49, 17 October 2013
  • where &epsilon;<sub>&alpha;&beta;&gamma;</sub> is the antisymmetric [[Levi-Civita symbol]].
    12 KB (1,961 words) - 13:04, 11 June 2009
  • where &epsilon;<sub>ijk</sub> is the [[Levi-Civita symbol]]. These relations define a [[#Lie algebra|Lie algebra]], as discussed late for any choices of subscripts. Here ε<sub>ijk</sub> is the Levi-Civita symbol mentioned above. The commutation relations express the fact that the order
    34 KB (5,282 words) - 14:21, 1 January 2011
  • antisymmetric [[Levi-Civita symbol]],
    22 KB (3,624 words) - 01:45, 26 October 2013
  • for any choices of subscripts. Here ε<sub>ijk</sub> is the [[Levi-Civita symbol]].
    20 KB (3,045 words) - 11:21, 29 June 2011
  • Here ε<sub>αβγ</sub> is the [[Levi-Civita symbol]]. The terms quadratic in the <math>\mathcal{P}_\alpha</math> are centrifug
    31 KB (4,757 words) - 02:20, 27 October 2013