DLMF:4.2.E20 (Q1516): 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.m2addec

Revision as of 18:02, 1 January 2020

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English
DLMF:4.2.E20
No description defined

    Statements

    Defining formula
    exp ⁡ ( z + 2 ⁢ π ⁢ i ) = exp ⁡ z . 𝑧 2 𝜋 𝑖 𝑧 {\displaystyle{\displaystyle\exp\left(z+2\pi i\right)=\exp z.}}
    0 references
    DLMF id
    DLMF:4.2.E20
    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.m2addec
    0 references
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2aadec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2addec
    0 references
     
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