Del can also be applied to a vector field with the result being a tensor. The tensor derivative of a vector field \vec{v} (in three dimensions) is a 9-term second-rank tensor (that is, a 3×3 matrix), but can be denoted simply as \nabla \otimes \vec{v}, where \otimes represents the dyadic product. This quantity is equivalent to the transpose of the Jacobian matrix of the vector field with respect to space.

Del can also be applied to a vector field with the result being a tensor. The tensor derivative of a vector field  (in three dimensions) is a 9-term second-rank tensor (that is, a 3×3 matrix), but can be denoted simply as , where  represents the dyadic product. This quantity is equivalent to the transpose of the Jacobian matrix of the vector field with respect to space.

Del

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