Formula:10687

Digital Library of Mathematical Functions ID 36.12.E4

${\displaystyle{\displaystyle f(u(t,\mathbf{y});\mathbf{y})=A(\mathbf{y})+\Phi_{K}\left(t;\mathbf{x}(\mathbf{y})\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\Phi_{\NVar{K}}\left(\NVar{t};\NVar{\mathbf{x}}\right)}}$: cuspoid catastrophe of codimension $$K$$
• ${\displaystyle{\displaystyle t}}$: variable
• ${\displaystyle{\displaystyle K}}$: codimension
• ${\displaystyle{\displaystyle f(u,\mathbf{y})}}$: function
• ${\displaystyle{\displaystyle A(\mathbf{y})}}$: function (locally)
 

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