DLMF:4.8.E12 (Q1603): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
Defining formula:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2abdec

Revision as of 18:12, 1 January 2020

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DLMF:4.8.E12
No description defined

    Statements

    Defining formula
    ln ⁡ ( a z ) = z ⁢ ln ⁡ a + 2 ⁢ k ⁢ π ⁢ i , superscript 𝑎 𝑧 𝑧 𝑎 2 𝑘 𝜋 imaginary-unit {\displaystyle{\displaystyle\ln\left(a^{z}\right)=z\ln a+2k\pi\mathrm{i},}}
    0 references
    DLMF id
    DLMF:4.8.E12
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2abdec
    0 references
     
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