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Formula:10160

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Digital Library of Mathematical Functions ID 32.11.E33

w h ⁢ ( x ) = - 2 3 ⁢ x + 4 3 ⁢ d ⁢ 3 ⁢ sin ⁡ ( ϕ ⁢ ( x ) - θ 0 ) + O ⁡ ( x - 1 ) , subscript 𝑤 ℎ 𝑥 2 3 𝑥 4 3 𝑑 3 italic-ϕ 𝑥 subscript 𝜃 0 Big-O superscript 𝑥 1 {\displaystyle{\displaystyle w_{h}(x)=-\tfrac{2}{3}x+\tfrac{4}{3}d\sqrt{3}\sin% \left(\phi(x)-\theta_{0}\right)+O\left(x^{-1}\right),}}


Constraint(s)

x → - ∞ → 𝑥 {\displaystyle{\displaystyle x\to-\infty}}

Symbols List

  • O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}} : order not exceeding
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • x 𝑥 {\displaystyle{\displaystyle x}} : 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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