- #1
Hassan2
- 426
- 5
Dear all,
I have two vector fields [itex] \vec{B}[/itex] and [itex]\vec{A}[/itex] related by:
[itex] \vec{B}=\nabla \times \vec{A}[/itex]
How can I simplify the following term:
[itex]\frac{\partial }{\partial \vec{A}} B^{2}[/itex]
where [itex]\frac{\partial }{\partial \vec{A}}=(\frac{\partial }{\partial A_{x}} \frac{\partial }{\partial A_{y}} \frac{\partial }{\partial A_{z}} )[/itex]
I would also like to know what are this kind of derivatives ( derivatives with respect to a vector field) called.
Thanks.
I have two vector fields [itex] \vec{B}[/itex] and [itex]\vec{A}[/itex] related by:
[itex] \vec{B}=\nabla \times \vec{A}[/itex]
How can I simplify the following term:
[itex]\frac{\partial }{\partial \vec{A}} B^{2}[/itex]
where [itex]\frac{\partial }{\partial \vec{A}}=(\frac{\partial }{\partial A_{x}} \frac{\partial }{\partial A_{y}} \frac{\partial }{\partial A_{z}} )[/itex]
I would also like to know what are this kind of derivatives ( derivatives with respect to a vector field) called.
Thanks.