DLMF:3.5.E47 (Q1303)

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DLMF:3.5.E47
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    Statements

    Defining formula
    1 π ⁢ h 2 ⁢ ∬ D f ⁢ ( x , y ) ⁢ d x ⁢ d y = ∑ j = 1 n w j ⁢ f ⁢ ( x j , y j ) + R , 1 superscript ℎ 2 subscript double-integral 𝐷 𝑓 𝑥 𝑦 𝑥 𝑦 superscript subscript 𝑗 1 𝑛 subscript 𝑤 𝑗 𝑓 subscript 𝑥 𝑗 subscript 𝑦 𝑗 𝑅 {\displaystyle{\displaystyle\frac{1}{\pi h^{2}}\iint_{D}f(x,y)\mathrm{d}x% \mathrm{d}y=\sum_{j=1}^{n}w_{j}f(x_{j},y_{j})+R,}}
    0 references
    DLMF id
    DLMF:3.5.E47
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2amdec
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    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1asdec
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    Q10777
    Defining formula
    ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
    xml-id
    introduction.Sx4.p1.t1.r29.m6aadec
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    Q11177
    Defining formula
    D 𝐷 {\displaystyle{\displaystyle D}}
    xml-id
    C3.S5.XMD22.m1dec
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    Q11178
    Defining formula
    R 𝑅 {\displaystyle{\displaystyle R}}
    xml-id
    C3.S5.XMD23.m1dec
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    Q11168
    Defining formula
    w k subscript 𝑤 𝑘 {\displaystyle{\displaystyle w_{k}}}
    xml-id
    C3.S5.XMD6.m1aadec
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