DLMF:32.7.E4 (Q9282): 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: derivative of $$f$$ with respect to $$x$$ / rank
 
Normal rank
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
Defining formula:

d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

\deriv{\NVar{f}}{\NVar{x}}
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
xml-id: C1.S4.E4.m2aadec

Revision as of 13:59, 2 January 2020

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DLMF:32.7.E4
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    Statements

    w 2 ( z ; 0 ) = 2 - 1 / 3 ( W 2 ( ζ ; 1 2 ε ) - ε d d ζ W ( ζ ; 1 2 ε ) + 1 2 ζ ) , superscript 𝑤 2 𝑧 0 superscript 2 1 3 superscript 𝑊 2 𝜁 1 2 𝜀 𝜀 derivative 𝜁 𝑊 𝜁 1 2 𝜀 1 2 𝜁 {\displaystyle{\displaystyle w^{2}(z;0)=2^{-1/3}\left(W^{2}(\zeta;\tfrac{1}{2}% \varepsilon)-\varepsilon\frac{\mathrm{d}}{\mathrm{d}\zeta}W(\zeta;\tfrac{1}{2}% \varepsilon)+\tfrac{1}{2}\zeta\right),}}
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    DLMF:32.7.E4
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    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2aadec
    0 references