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Math Help - epsilon delta?

  1. #1
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    epsilon delta?

    The epsilon delta rule states

    EijkEpqk=(delta(ip)delta(jq)-delta(iq)delta(jp))

    I am constantly using this but get stuck when it is applied.

    For example

    EijkEpqkA(j)B(l)C(m)=(delta(ip)delta(jq)-delta(iq)delta(jp))A(j)B(l)C(m)

    This then becomes

    A(j)B(i)C(j)-A(j)B(j)C(i)

    Can anybody please explain this result????
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  2. #2
    No one in Particular VonNemo19's Avatar
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    I think you may have had some trouble when you did your latex, because I can't understand a word of what you wrote. My specialty is epsilon-delta proofs so I would love to help. Let me know when you fix the glitch.
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  3. #3
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    do you mean writing it in math type. I don't know how to do that.
    Is there an option on the posting screen?
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  4. #4
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    The epsilon delta rule states

    \epsilon_{ijk}\epsilon_{pqk}=\delta_{ip}\delta_{jq  }-\delta_{iq}\delta_{jp}

    I am constantly using this but get stuck when it is applied.

    For example

    \epsilon_{ijk}\epsilon_{pqk}A_{j}B_{l}C_{m}=(\delt  a_{ip}\delta_{jq}-\delta_{iq}\delta_{jp})A_{j}B_{l}C_{m}

    This then becomes

    A_{j}B_{i}C_{j}-A_{j}B_{j}C_{i}

    Can anybody please explain this result????

    Is it true that

    \delta_{ij}a_{i}=a_{j}

    If so does this not apply to the above

    Thank you for your reply
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