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DLMF:1.6.E48 - MaRDI portal

DLMF:1.6.E48 (Q200)

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DLMF:1.6.E48
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    Statements

    DLMF defining formula
    A ⁢ ( S ) = ∬ D ∥ 𝐓 u × 𝐓 v ∥ ⁢ d u ⁢ d v , 𝐴 𝑆 subscript double-integral 𝐷 norm subscript 𝐓 𝑢 subscript 𝐓 𝑣 𝑢 𝑣 {\displaystyle{\displaystyle A(S)=\iint_{D}\|\mathbf{T}_{u}\times\mathbf{T}_{v% }\|\mathrm{d}u\mathrm{d}v,}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ahdec
    0 references
    parameterized surface
    DLMF defining formula
    S 𝑆 {\displaystyle{\displaystyle S}}
    xml-id
    C1.S6.XMD12.m1dec
    0 references
    open set in the plane
    DLMF defining formula
    D 𝐷 {\displaystyle{\displaystyle D}}
    xml-id
    C1.S6.XMD14.m1dec
    0 references

    Identifiers

     
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