DLMF:10.71.E1 (Q3902): 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.m1adec

Revision as of 14:32, 2 January 2020

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DLMF:10.71.E1
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    Statements

    x 1 + ν f ν d x = - x 1 + ν 2 ( f ν + 1 - g ν + 1 ) = - x 1 + ν ( ν x g ν - g ν ) , superscript 𝑥 1 𝜈 subscript 𝑓 𝜈 𝑥 superscript 𝑥 1 𝜈 2 subscript 𝑓 𝜈 1 subscript 𝑔 𝜈 1 superscript 𝑥 1 𝜈 𝜈 𝑥 subscript 𝑔 𝜈 superscript subscript 𝑔 𝜈 {\displaystyle{\displaystyle\int x^{1+\nu}f_{\nu}\mathrm{d}x=-\frac{x^{1+\nu}}% {\sqrt{2}}(f_{\nu+1}-g_{\nu+1})=-x^{1+\nu}\left(\frac{\nu}{x}g_{\nu}-g_{\nu}^{% \prime}\right),}}
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    DLMF:10.71.E1
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1adec
    0 references