DLMF:36.2.E13 (Q9849): 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.m2aedec

Revision as of 15:05, 2 January 2020

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DLMF:36.2.E13
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    Statements

    Defining formula
    Ψ 1 ⁡ ( x ) = 2 ⁢ π 3 1 / 3 ⁢ Ai ⁡ ( x 3 1 / 3 ) . canonical-integral 1 𝑥 2 𝜋 superscript 3 1 3 Airy-Ai 𝑥 superscript 3 1 3 {\displaystyle{\displaystyle\Psi_{1}\left(x\right)=\frac{2\pi}{3^{1/3}}\mathrm% {Ai}\left(\frac{x}{3^{1/3}}\right).}}
    0 references
    DLMF id
    DLMF:36.2.E13
    0 references
    Symbols used
    Q10919
    Defining formula
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1abdec
    0 references
    canonical integral function
    Defining formula
    Ψ K ⁡ ( 𝐱 ) canonical-integral 𝐾 𝐱 {\displaystyle{\displaystyle\Psi_{\NVar{K}}\left(\NVar{\mathbf{x}}\right)}}
    xml-id
    C36.S2.E4.m2abdec
    0 references
    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
     
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