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DLMF:1.9.E9 - MaRDI portal

DLMF:1.9.E9 (Q253)

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DLMF:1.9.E9
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    Statements

    DLMF defining formula
    z = r ⁢ e i ⁢ θ , 𝑧 𝑟 superscript 𝑒 𝑖 𝜃 {\displaystyle{\displaystyle z=re^{i\theta},}}
    0 references
    comment
    Warning: Falling back to standard tex;
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    Symbols used
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
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    imaginary unit
    DLMF defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aadec
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    variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1ddec
    0 references
    radius
    DLMF defining formula
    r 𝑟 {\displaystyle{\displaystyle r}}
    xml-id
    C1.S9.XMD1.m1cdec
    0 references
    angle
    DLMF defining formula
    θ 𝜃 {\displaystyle{\displaystyle\theta}}
    xml-id
    C1.S9.XMD2.m1cdec
    0 references

    Identifiers

     
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