DLMF:36.9.E8 (Q9961): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:36.9.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left|\Psi^{(\mathrm{H})}\left(x,y,z\right)\right|% ^{2}=8\pi^{2}\left(\frac{2}{9}\right)^{1/3}\int_{-\infty}^{\infty}\int_{-% \infty}^{\infty}\mathrm{Ai}\left(\left(\frac{4}{3}\right)^{1/3}(x+zv+3u^{2})% \right)\mathrm{Ai}\left(\left(\frac{4}{3}\right)^{1/3}(y+zu+3v^{2})\right)% \mathrm{d}u\mathrm{d}v.}}

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DLMF:36.9.E8

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Defining formula

{\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}

C9.S2.SS1.m1aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1agdec

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hyperbolic umbilic canonical integral function

Defining formula

{\displaystyle{\displaystyle\Psi^{(\mathrm{H})}\left(\NVar{\mathbf{x}}\right)}}

C36.S2.E5.m4adec

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