DLMF:1.5.E27 (Q150): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1acdec
Property / Symbols used
 
Property / Symbols used: Q10763 / rank
 
Normal rank
Property / Symbols used: Q10763 / qualifier
 
test:

j 𝑗 {\displaystyle{\displaystyle j}}

j
Property / Symbols used: Q10763 / qualifier
 
xml-id: C1.S1.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q10756 / rank
 
Normal rank
Property / Symbols used: Q10756 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q10756 / qualifier
 
xml-id: C1.S1.XMD4.m1dec
Property / Symbols used
 
Property / Symbols used: Q10783 / rank
 
Normal rank
Property / Symbols used: Q10783 / qualifier
 
test:

R 𝑅 {\displaystyle{\displaystyle R}}

R
Property / Symbols used: Q10783 / qualifier
 
xml-id: C1.S5.XMD13.m1dec

Latest revision as of 14:55, 1 January 2020

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DLMF:1.5.E27
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    Statements

    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
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1acdec
    0 references
    j 𝑗 {\displaystyle{\displaystyle j}}
    C1.S1.XMD3.m1dec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C1.S1.XMD4.m1dec
    0 references
    R 𝑅 {\displaystyle{\displaystyle R}}
    C1.S5.XMD13.m1dec
    0 references