DLMF:4.4.E10 (Q1544): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
Normal rank
 
Property / Symbols used: imaginary unit / qualifier
test:

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

\iunit
 
Property / Symbols used: imaginary unit / qualifier
xml-id: C1.S9.E1.m2agdec
 

Latest revision as of 17:06, 1 January 2020

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DLMF:4.4.E10
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    Statements

    test
    e ± π ⁢ i / 4 = 1 2 ± i ⁢ 1 2 , superscript 𝑒 plus-or-minus 𝜋 imaginary-unit 4 plus-or-minus 1 2 imaginary-unit 1 2 {\displaystyle{\displaystyle e^{\pm\pi\mathrm{i}/4}=\frac{1}{\sqrt{2}}\pm% \mathrm{i}\frac{1}{\sqrt{2}},}}
    0 references
    DLMF id
    DLMF:4.4.E10
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2afdec
    0 references
     
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