--------------103911D6C4E03E1BF96809D4 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit > > Gradients of functions and Normals to surfaces > are "Covariant" vectors. > > Differences between points are "Contravariant" > vectors. > Dear Luis, Is this what you mean? Since gradients are "intensity per unit distance," changing units from feet to inches makes the gradient get smaller (in numbers), while it makes distance get larger (in numbers). George --------------103911D6C4E03E1BF96809D4 Content-Type: text/html; charset=us-ascii Content-Transfer-Encoding: 7bit <!doctype html public "-//w3c//dtd html 4.0 transitional//en"> >
> Gradients of functions and Normals to surfaces
> are "Covariant" vectors.
>
> Differences between points are "Contravariant"
> vectors.
>Dear Luis,
Is this what you mean?
Since gradients are "intensity per unit distance," changing units from feet to inches makes the
gradient get smaller (in numbers), while it makes distance get larger (in numbers).George