DLMF:4.8.E4 (Q1595)

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DLMF:4.8.E4
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    Statements

    Defining formula
    ln ⁡ z 1 z 2 = ln ⁡ z 1 - ln ⁡ z 2 , subscript 𝑧 1 subscript 𝑧 2 subscript 𝑧 1 subscript 𝑧 2 {\displaystyle{\displaystyle\ln\frac{z_{1}}{z_{2}}=\ln z_{1}-\ln z_{2},}}
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    DLMF id
    DLMF:4.8.E4
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    constraint
    - π ≤ ph ⁡ z 1 - ph ⁡ z 2 ≤ π 𝜋 phase subscript 𝑧 1 phase subscript 𝑧 2 𝜋 {\displaystyle{\displaystyle-\pi\leq\operatorname{ph}z_{1}-\operatorname{ph}z_% {2}\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.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.m2aadec
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    Q10817
    Defining formula
    ph phase {\displaystyle{\displaystyle\operatorname{ph}}}
    xml-id
    C1.S9.E7.m1aadec
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    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1cdec
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