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Formula:10133

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Digital Library of Mathematical Functions ID 32.11.E6

w k ⁢ ( x ) = d ⁢ | x | - 1 / 4 ⁢ sin ⁡ ( ϕ ⁢ ( x ) - θ 0 ) + o ⁡ ( | x | - 1 / 4 ) , subscript 𝑤 𝑘 𝑥 𝑑 superscript 𝑥 1 4 italic-ϕ 𝑥 subscript 𝜃 0 little-o superscript 𝑥 1 4 {\displaystyle{\displaystyle w_{k}(x)=d|x|^{-1/4}\sin\left(\phi(x)-\theta_{0}% \right)+o\left(|x|^{-1/4}\right),}}


Constraint(s)

Symbols List

  • o ⁡ ( x ) little-o 𝑥 {\displaystyle{\displaystyle o\left(\NVar{x}\right)}} : order less than
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • x 𝑥 {\displaystyle{\displaystyle x}} : real
  • k 𝑘 {\displaystyle{\displaystyle k}} : real
  • ϕ ⁢ ( z ) italic-ϕ 𝑧 {\displaystyle{\displaystyle\phi(z)}} : function
  • d 𝑑 {\displaystyle{\displaystyle d}} : constant
  • θ 0 subscript 𝜃 0 {\displaystyle{\displaystyle\theta_{0}}} : constant
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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