DLMF:1.17.E11 (Q670)

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DLMF:1.17.E11
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    δ n ( x - a ) = 1 2 π - e - t 2 / ( 4 n ) e i ( x - a ) t d t , Dirac-delta-sequence 𝑛 𝑥 𝑎 1 2 𝜋 superscript subscript superscript 𝑒 superscript 𝑡 2 4 𝑛 superscript 𝑒 𝑖 𝑥 𝑎 𝑡 𝑡 {\displaystyle{\displaystyle\delta_{n}\left(x-a\right)=\frac{1}{2\pi}\int_{-% \infty}^{\infty}e^{-t^{2}/(4n)}e^{i(x-a)t}\mathrm{d}t,}}
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    DLMF:1.17.E11
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    δ n ( x ) Dirac-delta-sequence 𝑛 𝑥 {\displaystyle{\displaystyle\delta_{n}\left(\NVar{x}\right)}}
    C1.S17.SS1.p1.m6acdec
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2afdec
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