DLMF:1.8.E16 (Q270): Difference between revisions

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Latest revision as of 16:05, 1 January 2020

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Language	Label	Description	Also known as
English	DLMF:1.8.E16	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{n=-\infty}^{\infty}e^{-(n+x)^{2}\omega}={% \sqrt{\frac{\pi}{\omega}}\*\left(1+2\sum_{n=1}^{\infty}e^{-n^{2}\pi^{2}/\omega% }\cos\left(2n\pi x\right)\right)},}}

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DLMF:1.8.E16

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{\displaystyle{\displaystyle\Re\omega>0}}

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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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cosine function

Defining formula

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

C4.S14.E2.m2addec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2addec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C1.S1.XMD7.m1mdec

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Sitelinks

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