DLMF:1.16.E49 (Q657)

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Language	Label	Description	Also known as
English	DLMF:1.16.E49	No description defined

Statements

Defining formula

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

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DLMF:1.16.E49

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ajdec

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Defining formula

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

C1.S4.SS4.m1aidec

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Defining formula

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

C1.S16.SS1.p5.m5ardec

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Fourier transform of a tempered distribution

Defining formula

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

C1.S16.E35.m2ajdec

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Defining formula

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

C1.S9.E1.m2ajdec

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Cauchy principal value

Defining formula

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

C1.S4.E24.m2adec

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Sitelinks

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