
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????

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 epsilondelta proofs so I would love to help. Let me know when you fix the glitch.(Wink)

do you mean writing it in math type. I don't know how to do that.
Is there an option on the posting screen?

The epsilon delta rule states
$\displaystyle \epsilon_{ijk}\epsilon_{pqk}=\delta_{ip}\delta_{jq }\delta_{iq}\delta_{jp}$
I am constantly using this but get stuck when it is applied.
For example
$\displaystyle \epsilon_{ijk}\epsilon_{pqk}A_{j}B_{l}C_{m}=(\delt a_{ip}\delta_{jq}\delta_{iq}\delta_{jp})A_{j}B_{l}C_{m}$
This then becomes
$\displaystyle A_{j}B_{i}C_{j}A_{j}B_{j}C_{i}$
Can anybody please explain this result????
Is it true that
$\displaystyle \delta_{ij}a_{i}=a_{j}$
If so does this not apply to the above
Thank you for your reply