DLMF:25.12.E9 (Q7728): Difference between revisions

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Latest revision as of 13:49, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:25.12.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{n=1}^{\infty}\frac{\sin\left(n\theta\right)}% {n^{2}}=-\int_{0}^{\theta}\ln\left(2\sin\left(\tfrac{1}{2}x\right)\right)% \mathrm{d}x.}}

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DLMF:25.12.E9

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Defining formula

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

C1.S4.SS4.m1aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aadec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2addec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle n}}

C25.S1.XMD3.m1cdec

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Defining formula

{\displaystyle{\displaystyle x}}

C25.S1.XMD5.m1ddec

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Defining formula

{\displaystyle{\displaystyle\theta}}

C25.S12.XMD1.m1bdec

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Sitelinks

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