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Formula:210

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Digital Library of Mathematical Functions ID 1.6.E58

∭ V ( βˆ‡ β‹… 𝐅 ) ⁒ d V = ∬ S 𝐅 β‹… d 𝐒 , subscript triple-integral 𝑉 β‹… βˆ‡ 𝐅 𝑉 subscript double-integral 𝑆 β‹… 𝐅 𝐒 {\displaystyle{\displaystyle\iiint_{V}(\nabla\cdot\mathbf{F})\mathrm{d}V=\iint% _{S}\mathbf{F}\cdot\mathrm{d}\mathbf{S},}}


Constraint(s)

Symbols List

  • d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • S 𝑆 {\displaystyle{\displaystyle S}} : parameterized surface
  • V 𝑉 {\displaystyle{\displaystyle V}} : closed region
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