I'm encountering the gradient of a vector field in a problem at the moment. Not the divergence, specifically the vector.(adsbygoogle = window.adsbygoogle || []).push({});

My problem at the moment is the represenation of this using the "nabla" notation. Some authors seem to be defining this as [tex]\nabla \otimes \vec{v}[/tex], the tensor or dyadic product. But this doesn't seem to give the correct answer.

Could someone please confirm for me that the dyadic product [tex]\vec{a} \otimes \vec{b} = \vec{a} \vec{b}^T[/tex] if a and b are column vectors? What way is the gradient of a vector normally represented?

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# Gradients of Vectors and Dyadic Products

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