DLMF:1.17.E5 (Q664)

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DLMF:1.17.E5
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    Statements

    Defining formula
    δ n ⁡ ( x - a ) = n π ⁢ e - n ⁢ ( x - a ) 2 . Dirac-delta-sequence 𝑛 𝑥 𝑎 𝑛 𝜋 superscript 𝑒 𝑛 superscript 𝑥 𝑎 2 {\displaystyle{\displaystyle\delta_{n}\left(x-a\right)=\sqrt{\frac{n}{\pi}}e^{% -n(x-a)^{2}}.}}
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    DLMF id
    DLMF:1.17.E5
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    Symbols used
    Q10917
    Defining formula
    δ n ⁡ ( x ) Dirac-delta-sequence 𝑛 𝑥 {\displaystyle{\displaystyle\delta_{n}\left(\NVar{x}\right)}}
    xml-id
    C1.S17.SS1.p1.m6abdec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
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