DLMF:28.30.E4 (Q8509)

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DLMF:28.30.E4
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    Statements

    Defining formula
    f m = 1 2 ⁢ π ⁢ ∫ 0 2 ⁢ π f ⁢ ( x ) ⁢ w m ⁢ ( x ) ⁢ d x . subscript 𝑓 𝑚 1 2 𝜋 superscript subscript 0 2 𝜋 𝑓 𝑥 subscript 𝑤 𝑚 𝑥 𝑥 {\displaystyle{\displaystyle f_{m}=\frac{1}{2\pi}\int_{0}^{2\pi}f(x)w_{m}(x)% \mathrm{d}x.}}
    0 references
    DLMF id
    DLMF:28.30.E4
    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.m2aadec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
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    Q12284
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C28.S1.XMD1.m1cdec
    0 references
    Q12285
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C28.S1.XMD4.m1cdec
    0 references
     
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