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## Main Question or Discussion Point

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,

How do we

Thanks in advance.

**I conclude that the elementary differential operator must describe a change with respect to space-time,**How do we

**know**that the elementary differential operator does this, instead of describing a change wrt a coordinate system?Thanks in advance.