DLMF:4.8.E6 (Q1597)

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DLMF:4.8.E6
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    Statements

    Defining formula
    ln ⁡ ( z n ) = n ⁢ ln ⁡ z , superscript 𝑧 𝑛 𝑛 𝑧 {\displaystyle{\displaystyle\ln\left(z^{n}\right)=n\ln z,}}
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    DLMF id
    DLMF:4.8.E6
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    constraint
    n ∈ ℤ 𝑛 {\displaystyle{\displaystyle n\in\mathbb{Z}}}
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    - π ≤ n ⁢ ph ⁡ z ≤ π 𝜋 𝑛 phase 𝑧 𝜋 {\displaystyle{\displaystyle-\pi\leq n\operatorname{ph}z\leq\pi}}
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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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