DLMF:1.14.E43 (Q535)

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Language	Label	Description	Also known as
English	DLMF:1.14.E43	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathcal{H}\mskip-3.0mu f\mskip 3.0mu \left(x% \right)=\lim_{\epsilon\to 0+}\frac{1}{\pi}\int^{\infty}_{\epsilon}\frac{f(x+t)% -f(x-t)}{t}\mathrm{d}t.}}

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DLMF:1.14.E43

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Defining formula

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

C1.S14.SS5.p1.m2abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ardec

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Defining formula

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

C1.S4.SS4.m1aafdec

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