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Summation Convention

  1. Mar 20, 2010 #1
    Hello, I think I am fundamentally confused with summation convention. For example, if I have


    Can I sift the levi civita and get


    or sift x and get


    Each gives a different answer. What mistake am I making here?
    Thank you,

  2. jcsd
  3. Mar 20, 2010 #2


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    The fundamental confusion is that you've got an index repeated three times. This is incorrect: an index can only appear once or twice, the latter meaning it is summed over.
  4. Mar 20, 2010 #3
    Ah I see - thanks very much

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