DLMF:4.4.E3 (Q1537)

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DLMF:4.4.E3
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    Statements

    Defining formula
    ln ⁡ ( ± i ) = ± 1 2 ⁢ π ⁢ i . plus-or-minus imaginary-unit plus-or-minus 1 2 𝜋 imaginary-unit {\displaystyle{\displaystyle\ln\left(\pm\mathrm{i}\right)=\pm\tfrac{1}{2}\pi% \mathrm{i}.}}
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    DLMF id
    DLMF:4.4.E3
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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.m2aadec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aadec
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    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2abdec
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