DLMF:1.9.E10 (Q284): 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 16:05, 1 January 2020

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DLMF:1.9.E10
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    Statements

    Defining formula
    e i ⁢ θ = cos ⁡ θ + i ⁢ sin ⁡ θ ; superscript 𝑒 𝑖 𝜃 𝜃 𝑖 𝜃 {\displaystyle{\displaystyle e^{i\theta}=\cos\theta+i\sin\theta;}}
    0 references
    DLMF id
    DLMF:1.9.E10
    0 references
    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aadec
    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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