DLMF:1.15.E46 (Q588)

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DLMF:1.15.E46
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    Statements

    Defining formula
    lim R → ∞ ⁡ ∫ - ∞ ∞ | σ R ⁢ ( θ ) - f ⁢ ( θ ) | ⁢ d θ = 0 . subscript → 𝑅 subscript superscript subscript 𝜎 𝑅 𝜃 𝑓 𝜃 𝜃 0 {\displaystyle{\displaystyle\lim_{R\to\infty}\int^{\infty}_{-\infty}|\sigma_{R% }(\theta)-f(\theta)|\mathrm{d}\theta=0.}}
    0 references
    DLMF id
    DLMF:1.15.E46
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1atdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3atdec
    0 references
    Q10902
    Defining formula
    σ R ⁢ ( θ ) subscript 𝜎 𝑅 𝜃 {\displaystyle{\displaystyle\sigma_{R}(\theta)}}
    xml-id
    C1.S15.XMD11.m1bdec
    0 references
     
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