DLMF:4.4.E10 (Q1544)

From DRMF
Revision as of 18:06, 1 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:4.4.E10
No description defined

    Statements

    Defining formula
    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
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2afdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1544&oldid=26658"