DLMF:32.11.E15 (Q9450): Difference between revisions

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‎Changed an Item: Add constraint
‎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
 
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 14:14, 2 January 2020

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DLMF:32.11.E15
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    Statements

    Defining formula
    χ + 3 2 ⁢ d 2 ⁢ ln ⁡ 2 - 1 4 ⁢ π - ph ⁡ Γ ⁡ ( 1 2 ⁢ i ⁢ d 2 ) = n ⁢ π , 𝜒 3 2 superscript 𝑑 2 2 1 4 𝜋 phase Euler-Gamma 1 2 𝑖 superscript 𝑑 2 𝑛 𝜋 {\displaystyle{\displaystyle\chi+\tfrac{3}{2}d^{2}\ln 2-\tfrac{1}{4}\pi-% \operatorname{ph}\Gamma\left(\tfrac{1}{2}id^{2}\right)=n\pi,}}
    0 references
    DLMF id
    DLMF:32.11.E15
    0 references
    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2aadec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
    0 references
     
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