GW 005 linear approximation to the Riemann Christoffel tensor part two

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Believe it or not, your series of GW helps me a lot.

小江-ji
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why isnt the (del mu )(del beta)h alpha nu and the (del mu )(del alpha)h beta nu cancel off, we can replace the dummy index alpha and beta in any one of them and cancel it right ? ( refer 11:55 )

cheriyanhomey