DLMF:25.12.E9 (Q7728): 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.m1aadec

Revision as of 13:48, 2 January 2020

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DLMF:25.12.E9
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    Statements

    n = 1 sin ( n θ ) n 2 = - 0 θ ln ( 2 sin ( 1 2 x ) ) d x . superscript subscript 𝑛 1 𝑛 𝜃 superscript 𝑛 2 superscript subscript 0 𝜃 2 1 2 𝑥 𝑥 {\displaystyle{\displaystyle\sum_{n=1}^{\infty}\frac{\sin\left(n\theta\right)}% {n^{2}}=-\int_{0}^{\theta}\ln\left(2\sin\left(\tfrac{1}{2}x\right)\right)% \mathrm{d}x.}}
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    DLMF:25.12.E9
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aadec
    0 references