DLMF:7.8.E8 (Q2394)

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DLMF:7.8.E8
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    Statements

    Defining formula
    erf ⁡ x < 1 - e - 4 ⁢ x 2 / π , error-function 𝑥 1 4 superscript 𝑥 2 {\displaystyle{\displaystyle\operatorname{erf}x<\sqrt{1-{\mathrm{e}^{-4x^{2}/% \pi}}},}}
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    DLMF id
    DLMF:7.8.E8
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    constraint
    x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
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    error function
    Defining formula
    erf ⁡ z error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erf}\NVar{z}}}
    xml-id
    C7.S2.E1.m2adec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2acdec
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