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Formula:10531

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Digital Library of Mathematical Functions ID 36.2.E4

Ψ K ⁡ ( 𝐱 ) = ∫ - ∞ ∞ exp ⁡ ( i ⁢ Φ K ⁡ ( t ; 𝐱 ) ) ⁢ d t . canonical-integral 𝐾 𝐱 superscript subscript 𝑖 cuspoid-catastrophe 𝐾 𝑡 𝐱 𝑡 {\displaystyle{\displaystyle\Psi_{K}\left(\mathbf{x}\right)=\int_{-\infty}^{% \infty}\exp\left(i\Phi_{K}\left(t;\mathbf{x}\right)\right)\mathrm{d}t.}}


Constraint(s)

Symbols List

  • Φ K ⁡ ( t ; 𝐱 ) cuspoid-catastrophe 𝐾 𝑡 𝐱 {\displaystyle{\displaystyle\Phi_{\NVar{K}}\left(\NVar{t};\NVar{\mathbf{x}}% \right)}} : cuspoid catastrophe of codimension $$K$$
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}} : exponential function
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • t 𝑡 {\displaystyle{\displaystyle t}} : variable
  • K 𝐾 {\displaystyle{\displaystyle K}} : codimension
  •  Edit this on Wikidata

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