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DLMF:1.6.E58 - MaRDI portal

DLMF:1.6.E58 (Q210)

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DLMF:1.6.E58
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    Statements

    DLMF defining formula
    ∭ V ( ∇ ⋅ 𝐅 ) ⁢ d V = ∬ S 𝐅 ⋅ d 𝐒 , subscript triple-integral 𝑉 ⋅ ∇ 𝐅 𝑉 subscript double-integral 𝑆 ⋅ 𝐅 𝐒 {\displaystyle{\displaystyle\iiint_{V}(\nabla\cdot\mathbf{F})\mathrm{d}V=\iint% _{S}\mathbf{F}\cdot\mathrm{d}\mathbf{S},}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1apdec
    0 references
    parameterized surface
    DLMF defining formula
    S 𝑆 {\displaystyle{\displaystyle S}}
    xml-id
    C1.S6.XMD12.m1gdec
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    closed region
    DLMF defining formula
    V 𝑉 {\displaystyle{\displaystyle V}}
    xml-id
    C1.S6.XMD19.m1dec
    0 references

    Identifiers

     
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