DLMF:1.6.E44 (Q225): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

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

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1agdec

Revision as of 15:59, 1 January 2020

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DLMF:1.6.E44
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    Statements

    S ( F 2 x - F 1 y ) d A = C 𝐅 d 𝐬 = C F 1 d x + F 2 d y . subscript double-integral 𝑆 partial-derivative subscript 𝐹 2 𝑥 partial-derivative subscript 𝐹 1 𝑦 𝐴 subscript 𝐶 𝐅 𝐬 subscript 𝐶 subscript 𝐹 1 𝑥 subscript 𝐹 2 𝑦 {\displaystyle{\displaystyle\iint_{S}\left(\frac{\partial F_{2}}{\partial x}-% \frac{\partial F_{1}}{\partial y}\right)\mathrm{d}A=\int_{C}\mathbf{F}\cdot% \mathrm{d}\mathbf{s}=\int_{C}F_{1}\mathrm{d}x+F_{2}\mathrm{d}y.}}
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    DLMF:1.6.E44
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1agdec
    0 references