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I've seen the coordinate transformation equation for contravariant vectors given as follows,

V'^{a}=(dX'^{a}/dX^{b})V^{b}

What I don't get is the need for two indices a and b. Wouldn't it be adequate to just write the equation as follows?

V'^{a}=(dX'^{a}/dX^{a})V^{a}

The prime being adequate to indicate the new and the unprimed the old, coordinates and contravariant vector. Or does the second index provide some more information which I am unaware of?

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# Coordinate transformation of contravariant vectors.

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