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In this development

[itex](c ∇+ d A)(c ∇+dA)= c^{2} ∇^{2} + d^{2}A^{2} + cd A∇ + cd ∇A[/itex]

[itex](c ∇+ d A)^{2}= c^{2} ∇^{2} + d^{2}A^{2} + cd A∇+ cd A∇+ cd (∇A)[/itex]

I feel like we have "two" different [itex]∇[/itex] operators. At the end of the first line [itex]∇[/itex] acts on A and the test function (not shown). At the second line it acts just on the A operator or the test function.

i was wondering what would be the best way to denote this two different "views" on the operator. Should I consider the first one to be a proper operator and the second one as just a 3-vector?

Thank you for your time.

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# Notation for the nabla operator arguments

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