DLMF:1.8.E13 (Q267)

From testwiki
Revision as of 15:04, 1 January 2020 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:1.8.E13
No description defined

    Statements

    test
    1 π ⁢ ∫ - π π f ⁢ ( x ) ⁢ g ⁢ ( x ) ⁢ d x = 1 2 ⁢ a 0 ⁢ a 0 ′ + ∑ n = 1 ∞ ( a n ⁢ a n ′ + b n ⁢ b n ′ ) , 1 𝜋 subscript superscript 𝜋 𝜋 𝑓 𝑥 𝑔 𝑥 𝑥 1 2 subscript 𝑎 0 subscript superscript 𝑎 ′ 0 subscript superscript 𝑛 1 subscript 𝑎 𝑛 subscript superscript 𝑎 ′ 𝑛 subscript 𝑏 𝑛 subscript superscript 𝑏 ′ 𝑛 {\displaystyle{\displaystyle\frac{1}{\pi}\int^{\pi}_{-\pi}f(x)g(x)\mathrm{d}x=% \tfrac{1}{2}a_{0}a^{\prime}_{0}+\sum^{\infty}_{n=1}(a_{n}a^{\prime}_{n}+b_{n}b% ^{\prime}_{n}),}}
    0 references
    DLMF id
    DLMF:1.8.E13
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
    0 references
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1agdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q267&oldid=1911"