DLMF:4.2.E36 (Q1533)

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DLMF:4.2.E36
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    Statements

    test
    - π ≤ ℑ ⁡ ( 1 a ⁢ Ln ⁡ w ) ≤ π . 𝜋 1 𝑎 multivalued-natural-logarithm 𝑤 𝜋 {\displaystyle{\displaystyle-\pi\leq\Im\left(\frac{1}{a}\operatorname{Ln}w% \right)\leq\pi.}}
    0 references
    DLMF id
    DLMF:4.2.E36
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
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    Q10901
    test
    ℑ ⁡ absent {\displaystyle{\displaystyle\Im}}
    xml-id
    C1.S9.E2.m2acdec
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    general logarithm function
    test
    Ln ⁡ z multivalued-natural-logarithm 𝑧 {\displaystyle{\displaystyle\operatorname{Ln}\NVar{z}}}
    xml-id
    C4.S2.E1.m2aedec
    0 references
    Q11221
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C4.S1.XMD4.m1hdec
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