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Formula:7813

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Digital Library of Mathematical Functions ID 22.16.E1

am ⁡ ( x , k ) = Arcsin ⁡ ( sn ⁡ ( x , k ) ) , Jacobi-elliptic-amplitude 𝑥 𝑘 multivalued-inverse-sine Jacobi-elliptic-sn 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{am}\left(x,k\right)=\operatorname{% Arcsin}\left(\operatorname{sn}\left(x,k\right)\right),}}


Constraint(s)

x ∈ ℝ 𝑥 {\displaystyle{\displaystyle x\in\mathbb{R}}}

Symbols List

  • sn ⁡ ( z , k ) Jacobi-elliptic-sn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}} : Jacobian elliptic function
  • ∈ {\displaystyle{\displaystyle\in}} :
  • Arcsin ⁡ z multivalued-inverse-sine 𝑧 {\displaystyle{\displaystyle\operatorname{Arcsin}\NVar{z}}} : general arcsine function
  • ℝ {\displaystyle{\displaystyle\mathbb{R}}} :
  • x 𝑥 {\displaystyle{\displaystyle x}} : real
  • k 𝑘 {\displaystyle{\displaystyle k}} : modulus
  •  Edit this on Wikidata

Resources that cite this formula

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This page was last edited on 28 January 2024, at 10:02.
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