DLMF:1.10.E10 (Q365): Difference between revisions

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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
 
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.m2acdec

Revision as of 16:12, 1 January 2020

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DLMF:1.10.E10
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    Statements

    1 2 π i C z f ( z ) f ( z ) d z = (sum of locations of zeros) - (sum of locations of poles) , 1 2 𝜋 𝑖 subscript 𝐶 𝑧 superscript 𝑓 𝑧 𝑓 𝑧 𝑧 (sum of locations of zeros) (sum of locations of poles) {\displaystyle{\displaystyle\frac{1}{2\pi i}\int_{C}\frac{zf^{\prime}(z)}{f(z)% }\mathrm{d}z=\mbox{(sum of locations of zeros)}-\mbox{(sum of locations of % poles)},}}
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    DLMF:1.10.E10
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2acdec
    0 references