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DLMF:22.18.E4 - MaRDI portal

DLMF:22.18.E4 (Q7861)

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DLMF:22.18.E4
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    Statements

    DLMF defining formula
    l ⁢ ( r ) = ( 1 / 2 ) ⁢ arccn ⁡ ( r , 1 / 2 ) . 𝑙 𝑟 1 2 inverse-Jacobi-elliptic-cn 𝑟 1 2 {\displaystyle{\displaystyle l(r)=(1/\sqrt{2})\operatorname{arccn}\left(r,1/% \sqrt{2}\right).}}
    0 references
    Symbols used
    Q12011
    DLMF defining formula
    arccn ⁡ ( x , k ) inverse-Jacobi-elliptic-cn 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{arccn}\left(\NVar{x},\NVar{k}\right)}}
    xml-id
    C22.S15.SS1.p1.m2adec
    0 references
    radius
    DLMF defining formula
    r 𝑟 {\displaystyle{\displaystyle r}}
    xml-id
    C22.S18.XMD5.m1dec
    0 references
    arc length
    DLMF defining formula
    l ⁢ ( r ) 𝑙 𝑟 {\displaystyle{\displaystyle l(r)}}
    xml-id
    C22.S18.XMD7.m1adec
    0 references

    Identifiers

     
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