DLMF:4.8.E2 (Q1593): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
test:

ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

\ln@@{\NVar{z}}
Property / Symbols used: principal branch of logarithm function / qualifier
 
xml-id: C4.S2.E2.m2adec

Revision as of 17:10, 1 January 2020

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DLMF:4.8.E2
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    Statements

    test
    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\left(z_{1}z_{2}\right)=\ln z_{1}+\ln z_{2},}}
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    DLMF id
    DLMF:4.8.E2
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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
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    principal branch of logarithm function
    test
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
     
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