DLMF:28.5.E5 (Q8226): Difference between revisions

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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.m2abdec

Revision as of 14:43, 2 January 2020

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DLMF:28.5.E5
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    Defining formula
    ( C n ⁢ ( q ) ) 2 ⁢ ∫ 0 2 ⁢ π ( f n ⁢ ( x , q ) ) 2 ⁢ d x = ( S n ⁢ ( q ) ) 2 ⁢ ∫ 0 2 ⁢ π ( g n ⁢ ( x , q ) ) 2 ⁢ d x = π . superscript subscript 𝐶 𝑛 𝑞 2 superscript subscript 0 2 𝜋 superscript subscript 𝑓 𝑛 𝑥 𝑞 2 𝑥 superscript subscript 𝑆 𝑛 𝑞 2 superscript subscript 0 2 𝜋 superscript subscript 𝑔 𝑛 𝑥 𝑞 2 𝑥 𝜋 {\displaystyle{\displaystyle(C_{n}(q))^{2}\int_{0}^{2\pi}(f_{n}(x,q))^{2}% \mathrm{d}x=(S_{n}(q))^{2}\int_{0}^{2\pi}(g_{n}(x,q))^{2}\mathrm{d}x=\pi.}}
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    DLMF id
    DLMF:28.5.E5
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
    0 references
     
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