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``Proof of the Lagrange Identity?'' by spacechecker on 2005-06-04 09:13:01
Are you sure that equation (1) in the proof is correct?
My guess would be that the factor 2 inside the sum
has to be dropped (since the indexes are running
over ALL i /= j, NOT just over the lower/upper triangle).
This would then multiply the last term on the LHS and
also the last term on the RHS by 1/2, which makes sense
for getting (3). Finally, this gets rid of factor 2
in front of the last term on the RHS, otherwise this
would seem hard to bring in line with the claimed equivalence.
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