DLMF:1.9.E32 (Q307): 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.m2aldec

Revision as of 16:08, 1 January 2020

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DLMF:1.9.E32
No description defined

    Statements

    Defining formula
    1 2 ⁢ π ⁢ i ⁢ ∫ C 1 z - z 0 ⁢ d z = 𝒩 ⁢ ( C , z 0 ) , 1 2 𝜋 𝑖 subscript 𝐶 1 𝑧 subscript 𝑧 0 𝑧 𝒩 𝐶 subscript 𝑧 0 {\displaystyle{\displaystyle\frac{1}{2\pi i}\int_{C}\frac{1}{z-z_{0}}\mathrm{d% }z=\mathcal{N}(C,z_{0}),}}
    0 references
    DLMF id
    DLMF:1.9.E32
    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.m2aedec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1addec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aldec
    0 references
     
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