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by gus_massa 534 days ago
I mostly agree.

> an even number is equivalent to reapplying the ‘twice’ rule many times

I never heard that extension and in my opinion is a bad idea. One nice property of the Einstein summation notation is that you can reorder the tensors(with their index), and the result does no change. If you allow 4x repetitions this is not valid).

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Also, a nice property of tensors written in paper is that you can write the index as subscripsts or superscripts to remember how they change when there is a base change. You can only colapse a subscripst with a superscript, so the result of the operation does not depend on the choice of the base. (It would be very nice that Python can remember and check this too to avoid silly error.)

1 comments

Ah I think I’m just wrong and the 4x thing shouldn’t be allowed