DLMF:1.5.E42 (Q169): Difference between revisions

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imported>Admin
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.m1ajdec

Revision as of 14:56, 1 January 2020

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DLMF:1.5.E42
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    Statements

    D f ( x , y ) d x d y = D * f ( x ( u , v ) , y ( u , v ) ) | ( x , y ) ( u , v ) | d u d v , subscript double-integral 𝐷 𝑓 𝑥 𝑦 𝑥 𝑦 subscript double-integral superscript 𝐷 𝑓 𝑥 𝑢 𝑣 𝑦 𝑢 𝑣 partial-derivative 𝑥 𝑦 𝑢 𝑣 𝑢 𝑣 {\displaystyle{\displaystyle\iint_{D}f(x,y)\mathrm{d}x\mathrm{d}y=\iint_{D^{*}% }f(x(u,v),y(u,v))\left|\frac{\partial(x,y)}{\partial(u,v)}\right|\mathrm{d}u% \mathrm{d}v,}}
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1ajdec
    0 references