DLMF:1.10.E9 (Q334): Difference between revisions

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‎Changed an Item: Remove DLMF prefix from DLMF id
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
DLMF defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2abdec

Revision as of 09:13, 21 December 2021

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DLMF:1.10.E9
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    Statements

    DLMF defining formula
    N - P = 1 2 ⁢ π ⁢ i ⁢ ∫ C f ′ ⁢ ( z ) f ⁢ ( z ) ⁢ d z = 1 2 ⁢ π ⁢ Δ C ⁢ ( ph ⁡ f ⁢ ( z ) ) , 𝑁 𝑃 1 2 𝜋 𝑖 subscript 𝐶 superscript 𝑓 ′ 𝑧 𝑓 𝑧 𝑧 1 2 𝜋 subscript Δ 𝐶 phase 𝑓 𝑧 {\displaystyle{\displaystyle N-P=\frac{1}{2\pi i}\int_{C}\frac{f^{\prime}(z)}{% f(z)}\mathrm{d}z=\frac{1}{2\pi}\Delta_{C}(\operatorname{ph}f(z)),}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
    0 references

    Identifiers

     
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