DLMF:1.14.E44 (Q536)

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Language	Label	Description	Also known as
English	DLMF:1.14.E44	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle f(x)=-\frac{1}{\pi}\pvint^{\infty}_{-\infty}\frac% {\mathcal{H}\mskip-3.0mu f\mskip 3.0mu \left(u\right)}{u-x}\mathrm{d}u.}}

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DLMF:1.14.E44

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Defining formula

{\displaystyle{\displaystyle\mathcal{H}\left(\NVar{f}\right)\left(\NVar{x}% \right)}}

C1.S14.SS5.p1.m2acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2asdec

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Defining formula

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

C1.S4.SS4.m1aagdec

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Cauchy principal value

Defining formula

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

C1.S4.E24.m2abdec

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Sitelinks

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