DLMF:1.16.E51 (Q659)

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Language	Label	Description	Also known as
English	DLMF:1.16.E51	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left\langle\mathscr{F}\left(H\right),\phi\right% \rangle=\sqrt{\frac{\pi}{2}}\phi(0)+\frac{\mathrm{i}}{\sqrt{2\pi}}\pvint^{% \infty}_{-\infty}\frac{\phi(x)}{x}\mathrm{d}x.}}

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DLMF:1.16.E51

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Heaviside function

Defining formula

{\displaystyle{\displaystyle H\left(\NVar{x}\right)}}

C1.S16.E13.m2ajdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aldec

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Defining formula

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

C1.S4.SS4.m1ajdec

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Defining formula

{\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}

C1.S16.SS1.p5.m5asdec

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Fourier transform of a tempered distribution

Defining formula

{\displaystyle{\displaystyle\mathscr{F}\left(\NVar{u}\right)}}

C1.S16.E35.m2aldec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2aldec

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Cauchy principal value

Defining formula

{\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}

C1.S4.E24.m2aadec

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Sitelinks

Wikipedia(0 entries)

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