DLMF:1.8.E15 (Q269)

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DLMF:1.8.E15
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    1 2 f ( 0 ) + n = 1 f ( n ) = 0 f ( x ) d x + 2 n = 1 0 f ( x ) cos ( 2 π n x ) d x . 1 2 𝑓 0 subscript superscript 𝑛 1 𝑓 𝑛 subscript superscript 0 𝑓 𝑥 𝑥 2 subscript superscript 𝑛 1 subscript superscript 0 𝑓 𝑥 2 𝜋 𝑛 𝑥 𝑥 {\displaystyle{\displaystyle\tfrac{1}{2}f(0)+\sum^{\infty}_{n=1}f(n)=\int^{% \infty}_{0}f(x)\mathrm{d}x+2\sum^{\infty}_{n=1}\int^{\infty}_{0}f(x)\cos\left(% 2\pi nx\right)\mathrm{d}x.}}
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    DLMF:1.8.E15
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aidec
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    cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    C4.S14.E2.m2acdec
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aidec
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