DLMF:28.31.E12 (Q8529): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎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 15:38, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:28.31.E12
No description defined

    Statements

    Defining formula
    1 π ⁢ ∫ 0 2 ⁢ π ( C p m ⁢ ( x , ξ ) ) 2 ⁢ d x = 1 π ⁢ ∫ 0 2 ⁢ π ( S p m ⁢ ( x , ξ ) ) 2 ⁢ d x = 1 , 1 𝜋 superscript subscript 0 2 𝜋 superscript superscript subscript 𝐶 𝑝 𝑚 𝑥 𝜉 2 𝑥 1 𝜋 superscript subscript 0 2 𝜋 superscript superscript subscript 𝑆 𝑝 𝑚 𝑥 𝜉 2 𝑥 1 {\displaystyle{\displaystyle\dfrac{1}{\pi}\int_{0}^{2\pi}\left(C_{p}^{m}(x,\xi% )\right)^{2}\mathrm{d}x=\dfrac{1}{\pi}\int_{0}^{2\pi}\left(S_{p}^{m}(x,\xi)% \right)^{2}\mathrm{d}x=1,}}
    0 references
    DLMF id
    DLMF:28.31.E12
    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.m2adec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q8529&oldid=59545"