DLMF:1.6.E56 (Q237)

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DLMF:1.6.E56
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    Statements

    Defining formula
    ∬ 𝚽 1 ⁢ ( D 1 ) 𝐅 ⋅ d 𝐒 = ∬ 𝚽 2 ⁢ ( D 2 ) 𝐅 ⋅ d 𝐒 ; subscript double-integral subscript 𝚽 1 subscript 𝐷 1 ⋅ 𝐅 𝐒 subscript double-integral subscript 𝚽 2 subscript 𝐷 2 ⋅ 𝐅 𝐒 {\displaystyle{\displaystyle\iint_{\boldsymbol{{\Phi}}_{1}(D_{1})}\mathbf{F}% \cdot\mathrm{d}\mathbf{S}=\iint_{\boldsymbol{{\Phi}}_{2}(D_{2})}\mathbf{F}% \cdot\mathrm{d}\mathbf{S};}}
    0 references
    DLMF id
    DLMF:1.6.E56
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1andec
    0 references
    parameterization (locally)
    Defining formula
    𝚽 ⁢ ( x , y , z ) 𝚽 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle\boldsymbol{{\Phi}}(x,y,z)}}
    xml-id
    C1.S6.XMD13.m1bdec
    0 references
    Q10800
    Defining formula
    D 𝐷 {\displaystyle{\displaystyle D}}
    xml-id
    C1.S6.XMD14.m1ddec
    0 references
     
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