DLMF:9.8.E3 (Q2835): Difference between revisions

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Changed an Item: Wikidata Toolkit example test statement addition
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q10919 / rank
 
Normal rank
Property / Symbols used: Q10919 / qualifier
 
Defining formula:

Ai ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}

\AiryAi@{\NVar{z}}
Property / Symbols used: Q10919 / qualifier
 
xml-id: C9.S2.SS1.m1aadec
Property / Symbols used
 
Property / Symbols used: Q11081 / rank
 
Normal rank
Property / Symbols used: Q11081 / qualifier
 
Defining formula:

Bi ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}

\AiryBi@{\NVar{z}}
Property / Symbols used: Q11081 / qualifier
 
xml-id: C9.S2.SS1.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11382 / rank
 
Normal rank
Property / Symbols used: Q11382 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11382 / qualifier
 
xml-id: C9.S1.XMD2.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11381 / rank
 
Normal rank
Property / Symbols used: Q11381 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11381 / qualifier
 
xml-id: C9.S1.XMD3.m1dec

Latest revision as of 14:37, 2 January 2020

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DLMF:9.8.E3
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    Statements

    M ( x ) = Ai 2 ( x ) + Bi 2 ( x ) , modulus-Airy-M 𝑥 Airy-Ai 2 𝑥 Airy-Bi 2 𝑥 {\displaystyle{\displaystyle M\left(x\right)=\sqrt{{\mathrm{Ai}^{2}}\left(x% \right)+{\mathrm{Bi}^{2}}\left(x\right)},}}
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    DLMF:9.8.E3
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    Ai ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    C9.S2.SS1.m1aadec
    0 references
    Bi ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    C9.S2.SS1.m2aadec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C9.S1.XMD2.m1bdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C9.S1.XMD3.m1dec
    0 references