DLMF:1.5.E27 (Q150)

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DLMF:1.5.E27
No description defined

    Statements

    Defining formula
    ∬ R f ⁢ ( x , y ) ⁢ d A = lim ⁡ ∑ j , k f ⁢ ( ξ j , η k ) ⁢ ( x j + 1 - x j ) ⁢ ( y k + 1 - y k ) subscript double-integral 𝑅 𝑓 𝑥 𝑦 𝐴 subscript 𝑗 𝑘 𝑓 subscript 𝜉 𝑗 subscript 𝜂 𝑘 subscript 𝑥 𝑗 1 subscript 𝑥 𝑗 subscript 𝑦 𝑘 1 subscript 𝑦 𝑘 {\displaystyle{\displaystyle\iint_{R}f(x,y)\mathrm{d}A={\lim\sum_{j,k}f(\xi_{j% },\eta_{k})(x_{j+1}-x_{j})(y_{k+1}-y_{k})}}}
    0 references
    DLMF id
    DLMF:1.5.E27
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
    Q10763
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C1.S1.XMD3.m1dec
    0 references
    Q10756
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C1.S1.XMD4.m1dec
    0 references
     
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