DLMF:1.15.E44 (Q586): 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.m2akdec

Revision as of 16:32, 1 January 2020

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DLMF:1.15.E44
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    Statements

    Defining formula
    σ R ⁢ ( θ ) = 1 2 ⁢ π ⁢ ∫ - R R ( 1 - | t | R ) ⁢ e - i ⁢ θ ⁢ t ⁢ F ⁢ ( t ) ⁢ d t , subscript 𝜎 𝑅 𝜃 1 2 𝜋 subscript superscript 𝑅 𝑅 1 𝑡 𝑅 superscript 𝑒 𝑖 𝜃 𝑡 𝐹 𝑡 𝑡 {\displaystyle{\displaystyle\sigma_{R}(\theta)=\frac{1}{\sqrt{2\pi}}\int^{R}_{% -R}\left(1-\frac{|t|}{R}\right)e^{-i\theta t}F(t)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:1.15.E44
    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.m2akdec
    0 references
     
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