So I've seen quite a variety of notations that deviate from what we've learned in our "normal" math courses.(adsbygoogle = window.adsbygoogle || []).push({});

In math classes we write a volume integral as:

[tex]\iiint_W \rho\, d V[/tex]

but somehow once we start doing E&M and QM, professors often just drop the extra integral signs:

[tex]\int_W \rho\, d V[/tex]

Is this justifiable? Or just a short-hand? I've seen this happen to both volume and surface integrals.

Then there's this stranger notation which is more rarely used:

[tex]\int \frac{1}{|\vec{r}-\vec{r'}|} \, d^3 r'[/tex]

Is there some particular reason why this is used over something simpler [itex]dV'[/itex]?

Maybe I'm just being too picky/OCD about notations, I dunno.

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# Multiple integral notation (or abuse of?)

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