As we can not meaningfully compare a vector at 2 points acted upon by this operator , because it does not take into account the change due to the coordinate system constantly changing,(adsbygoogle = window.adsbygoogle || []).push({}); I conclude that the elementary differential operator must describe a change with respect to space-time,

How do weknowthat the elementary differential operator does this, instead of describing a change wrt a coordinate system?

Thanks in advance.

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# Covariant derivative motivation quick Q Concept

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