DLMF:1.9.E34 (Q309): 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: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2agdec

Revision as of 16:08, 1 January 2020

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DLMF:1.9.E34
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    Statements

    u ( r e i θ ) = 1 2 π 0 2 π ( R 2 - r 2 ) h ( R e i ϕ ) d ϕ R 2 - 2 R r cos ( ϕ - θ ) + r 2 𝑢 𝑟 superscript 𝑒 𝑖 𝜃 1 2 𝜋 subscript superscript 2 𝜋 0 superscript 𝑅 2 superscript 𝑟 2 𝑅 superscript 𝑒 𝑖 italic-ϕ italic-ϕ superscript 𝑅 2 2 𝑅 𝑟 italic-ϕ 𝜃 superscript 𝑟 2 {\displaystyle{\displaystyle u(re^{i\theta})=\frac{1}{2\pi}\int^{2\pi}_{0}% \frac{(R^{2}-r^{2})h(Re^{i\phi})\mathrm{d}\phi}{R^{2}-2Rr\cos\left(\phi-\theta% \right)+r^{2}}}}
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    DLMF:1.9.E34
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2agdec
    0 references