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Sep 21, 2022 at 18:42 comment added Pietro Majer Well, for the $n$-dimensional Lebesgue measure and $f\in \mathcal L^1(\mathcal R^n)$ we do use the notation $\int_{\mathbb R^n}f(x)dx$, where the dimension of the measure is clear from the domain rather than from "$dx$". So $\int_{\mathbb C} f(z)dz$ is not out of this word; I don't see a big danger of confusion with a path integral $\int_{\gamma} f(z)dz$.
Sep 21, 2022 at 18:31 history edited zoran Vicovic CC BY-SA 4.0
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Sep 21, 2022 at 18:16 history edited zoran Vicovic CC BY-SA 4.0
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Sep 18, 2022 at 15:14 history edited LSpice CC BY-SA 4.0
More informative title; removed "Thank you"
Sep 18, 2022 at 14:37 comment added Daniele Tampieri Since you are performing a volume integration in $\Bbb C$, you should use the notation $\mathrm{d}z\wedge\mathrm{d}\bar{z}$ which is a multiple of $\mathrm{d}x \mathrm{d} y$.
Sep 18, 2022 at 13:17 comment added Fedor Petrov Usually $dz$ is used for contour integration, where it has another sense
Sep 18, 2022 at 11:35 comment added zoran Vicovic $z=(x,y)\in\Bbb R^2$ so $dz=dxdy$ @Fedor Petrov.
Sep 18, 2022 at 11:27 comment added Fedor Petrov By $dz$ you mean $dxdy$, where $z=x+iy$?
Sep 18, 2022 at 10:58 comment added zoran Vicovic it is $z$ not $w$ see again. Thank you
Sep 18, 2022 at 10:56 history edited zoran Vicovic CC BY-SA 4.0
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Sep 18, 2022 at 10:42 history asked zoran Vicovic CC BY-SA 4.0