DLMF:1.6.E55 (Q236): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10799 / rank
 
Normal rank
Property / Symbols used: Q10799 / qualifier
 
test:

S 𝑆 {\displaystyle{\displaystyle S}}

S
Property / Symbols used: Q10799 / qualifier
 
xml-id: C1.S6.XMD12.m1edec
Property / Symbols used
 
Property / Symbols used: Q10800 / rank
 
Normal rank
Property / Symbols used: Q10800 / qualifier
 
test:

D 𝐷 {\displaystyle{\displaystyle D}}

D
Property / Symbols used: Q10800 / qualifier
 
xml-id: C1.S6.XMD14.m1cdec

Latest revision as of 15:01, 1 January 2020

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DLMF:1.6.E55
No description defined

    Statements

    test
    ∬ S 𝐅 ⋅ d 𝐒 = ∬ D 𝐅 ⋅ ( 𝐓 u × 𝐓 v ) ⁢ d u ⁢ d v , subscript double-integral 𝑆 ⋅ 𝐅 𝐒 subscript double-integral 𝐷 ⋅ 𝐅 subscript 𝐓 𝑢 subscript 𝐓 𝑣 𝑢 𝑣 {\displaystyle{\displaystyle\iint_{S}\mathbf{F}\cdot\mathrm{d}\mathbf{S}=\iint% _{D}\mathbf{F}\cdot(\mathbf{T}_{u}\times\mathbf{T}_{v})\mathrm{d}u\mathrm{d}v,}}
    0 references
    DLMF id
    DLMF:1.6.E55
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1amdec
    0 references
    Q10799
    test
    S 𝑆 {\displaystyle{\displaystyle S}}
    xml-id
    C1.S6.XMD12.m1edec
    0 references
    Q10800
    test
    D 𝐷 {\displaystyle{\displaystyle D}}
    xml-id
    C1.S6.XMD14.m1cdec
    0 references
     
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