DLMF:25.4.E6 (Q7613)

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DLMF:25.4.E6
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    Statements

    Defining formula
    c ≡ - ln ⁡ ( 2 ⁢ π ) - 1 2 ⁢ π ⁢ i . equal-by definition 𝑐 2 𝜋 1 2 𝜋 imaginary-unit {\displaystyle{\displaystyle c\equiv-\ln\left(2\pi\right)-\tfrac{1}{2}\pi% \mathrm{i}.}}
    0 references
    DLMF id
    DLMF:25.4.E6
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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.m2addec
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    Q10769
    Defining formula
    ≡ equal-by definition {\displaystyle{\displaystyle\equiv}}
    xml-id
    introduction.Sx4.p1.t1.r9.m2adec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
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    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
    Q12155
    Defining formula
    c 𝑐 {\displaystyle{\displaystyle c}}
    xml-id
    C25.S4.XMD1.m1adec
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