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3.5.E48 - MaRDI portal

3.5.E48 (Q1275)

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3.5.E48
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    Statements

    DLMF defining formula
    1 4 ⁢ h 2 ⁢ ∬ S f ⁢ ( x , y ) ⁢ d x ⁢ d y = ∑ j = 1 n w j ⁢ f ⁢ ( x j , y j ) + R . 1 4 superscript ℎ 2 subscript double-integral 𝑆 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}{4h^{2}}\iint_{S}f(x,y)\mathrm{d}x\mathrm{% d}y=\sum_{j=1}^{n}w_{j}f(x_{j},y_{j})+R.}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1atdec
    0 references
    Q10751
    DLMF defining formula
    ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
    xml-id
    introduction.Sx4.p1.t1.r29.m6abdec
    0 references
    remainder
    DLMF defining formula
    R 𝑅 {\displaystyle{\displaystyle R}}
    xml-id
    C3.S5.XMD23.m1adec
    0 references
    weights
    DLMF defining formula
    w k subscript 𝑤 𝑘 {\displaystyle{\displaystyle w_{k}}}
    xml-id
    C3.S5.XMD6.m1abdec
    0 references

    Identifiers

     
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