DLMF:22.19.E6 (Q7180): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q12039 / rank
 
Normal rank
Property / Symbols used: Q12039 / qualifier
 
Defining formula:

t 𝑡 {\displaystyle{\displaystyle t}}

t
Property / Symbols used: Q12039 / qualifier
 
xml-id: C22.S19.XMD6.m1adec
Property / Symbols used
 
Property / Symbols used: Q12041 / rank
 
Normal rank
Property / Symbols used: Q12041 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q12041 / qualifier
 
xml-id: C22.S19.XMD8.m1dec
Property / Symbols used
 
Property / Symbols used: Q12042 / rank
 
Normal rank
Property / Symbols used: Q12042 / qualifier
 
Defining formula:

η 𝜂 {\displaystyle{\displaystyle\eta}}

\eta
Property / Symbols used: Q12042 / qualifier
 
xml-id: C22.S19.XMD9.m1dec

Latest revision as of 15:40, 2 January 2020

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DLMF:22.19.E6
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    Statements

    x ( t ) = a cn ( t 1 + 2 η , k ) . 𝑥 𝑡 𝑎 Jacobi-elliptic-cn 𝑡 1 2 𝜂 𝑘 {\displaystyle{\displaystyle x(t)=a\operatorname{cn}\left(t\sqrt{1+2\eta},k% \right).}}
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    DLMF:22.19.E6
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    cn ( z , k ) Jacobi-elliptic-cn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}
    C22.S2.E5.m2adec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C22.S1.XMD4.m1adec
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    x ( t ) 𝑥 𝑡 {\displaystyle{\displaystyle x(t)}}
    C22.S19.XMD5.m1bdec
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    t 𝑡 {\displaystyle{\displaystyle t}}
    C22.S19.XMD6.m1adec
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    a 𝑎 {\displaystyle{\displaystyle a}}
    C22.S19.XMD8.m1dec
    0 references
    η 𝜂 {\displaystyle{\displaystyle\eta}}
    C22.S19.XMD9.m1dec
    0 references