DLMF:24.7.E10 (Q7486): Difference between revisions

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Latest revision as of 01:35, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:24.7.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle E_{2n+1}\left(x\right)=(-1)^{n+1}4\*\int_{0}^{% \infty}\frac{\cos\left(\pi x\right)\sinh\left(\pi t\right)}{\cosh\left(2\pi t% \right)-\cos\left(2\pi x\right)}t^{2n+1}\mathrm{d}t.}}

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DLMF:24.7.E10

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Defining formula

{\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}}

C24.S2.SS2.m2aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aidec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2acdec

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Defining formula

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

C1.S4.SS4.m1aidec

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hyperbolic cosine function

Defining formula

{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2acdec

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hyperbolic sine function

Defining formula

{\displaystyle{\displaystyle\sinh\NVar{z}}}

C4.S28.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aidec

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Defining formula

{\displaystyle{\displaystyle n}}

C24.S1.XMD5.m1idec

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Defining formula

{\displaystyle{\displaystyle t}}

C24.S1.XMD6.m1idec

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Defining formula

{\displaystyle{\displaystyle x}}

C24.S1.XMD7.m1cdec

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