DLMF:4.4.E8 (Q1542): Difference between revisions

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‎Changed an Item: Add constraint
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Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2addec

Revision as of 18:05, 1 January 2020

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English
DLMF:4.4.E8
No description defined

    Statements

    Defining formula
    e ± π ⁢ i / 3 = 1 2 ± i ⁢ 3 2 , superscript 𝑒 plus-or-minus 𝜋 imaginary-unit 3 plus-or-minus 1 2 imaginary-unit 3 2 {\displaystyle{\displaystyle e^{\pm\pi\mathrm{i}/3}=\frac{1}{2}\pm\mathrm{i}% \frac{\sqrt{3}}{2},}}
    0 references
    DLMF id
    DLMF:4.4.E8
    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.m2aedec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2addec
    0 references
     
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