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## Main Question or Discussion Point

Hi, basic cartesian coordinates and we want to know the gradient of a scalar function of x,y, and z. So we can use the most basic basis there is of three orthogonal unit vectors and come up with the gradient of the scalar function. Now without rescaling the coordinate system or altering it in any way just double the length of each basis vector. If it is the same scalar function as before then each component of gradient is reduced by half

Isn't that contravariance?

Isn't that contravariance?