DLMF:36.2.E3 (Q9838): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12742 / rank
 
Normal rank
Property / Symbols used: Q12742 / qualifier
 
Defining formula:

t 𝑡 {\displaystyle{\displaystyle t}}

t
Property / Symbols used: Q12742 / qualifier
 
xml-id: C36.S1.XMD5.m1bdec

Revision as of 15:03, 2 January 2020

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DLMF:36.2.E3
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    Statements

    Φ ( H ) ( s , t ; 𝐱 ) = s 3 + t 3 + z s t + y t + x s , hyperbolic-umbilic-catastrophe 𝑠 𝑡 𝐱 superscript 𝑠 3 superscript 𝑡 3 𝑧 𝑠 𝑡 𝑦 𝑡 𝑥 𝑠 {\displaystyle{\displaystyle\Phi^{(\mathrm{H})}\left(s,t;\mathbf{x}\right)=s^{% 3}+t^{3}+zst+yt+xs,}}
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    DLMF:36.2.E3
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    𝐱 = { x , y , z } 𝐱 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle\mathbf{x}=\{x,y,z\}}}
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    y 𝑦 {\displaystyle{\displaystyle y}}
    C36.S1.XMD10.m1adec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C36.S1.XMD11.m1adec
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    t 𝑡 {\displaystyle{\displaystyle t}}
    C36.S1.XMD5.m1bdec
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