DLMF:36.12.E10 (Q10002): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:36.12.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle G_{n}(\mathbf{y})=g(t_{n}(\mathbf{y}),\mathbf{y})% \sqrt{\frac{\ifrac{{\partial}^{2}\Phi_{K}\left(t_{n}(\mathbf{x}(\mathbf{y}));% \mathbf{x}(\mathbf{y})\right)}{{\partial t}^{2}}}{\ifrac{{\partial}^{2}f(u_{n}% (\mathbf{y}))}{{\partial u}^{2}}}}.}}

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DLMF:36.12.E10

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cuspoid catastrophe of codimension $$K$$

Defining formula

{\displaystyle{\displaystyle\Phi_{\NVar{K}}\left(\NVar{t};\NVar{\mathbf{x}}% \right)}}

C36.S2.E1.m2abdec

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partial derivative of $$f$$ with respect to $$x$$

Defining formula

{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}

C1.S5.E3.m4abdec

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partial differential of $$x$$

Defining formula

{\displaystyle{\displaystyle\partial\NVar{x}}}

C1.S5.E3.m2abdec

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Defining formula

{\displaystyle{\displaystyle m}}

C36.S1.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle t}}

C36.S1.XMD5.m1adec

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Defining formula

{\displaystyle{\displaystyle K}}

C36.S1.XMD7.m1fdec

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Defining formula

{\displaystyle{\displaystyle g(u,\mathbf{y})}}

C36.S12.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle f(u,\mathbf{y})}}

C36.S12.XMD3.m1edec

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mapping (locally)

Defining formula

{\displaystyle{\displaystyle u(t;\mathbf{y})}}

C36.S12.XMD5.m1edec

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Defining formula

{\displaystyle{\displaystyle t_{j}(\mathbf{x})}}

C36.S4.XMD1.m1cdec

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Sitelinks

Wikipedia(0 entries)

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