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DLMF:1.9.E10 - MaRDI portal

DLMF:1.9.E10 (Q254)

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DLMF:1.9.E10
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    Statements

    DLMF 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
    Symbols used
    cosine function
    DLMF defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
    0 references
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aadec
    0 references
    imaginary unit
    DLMF defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2abdec
    0 references
    sine function
    DLMF defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aadec
    0 references
    angle
    DLMF defining formula
    θ 𝜃 {\displaystyle{\displaystyle\theta}}
    xml-id
    C1.S9.XMD2.m1ddec
    0 references

    Identifiers

     
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