DLMF:5.20.E3 (Q2208): Difference between revisions

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Latest revision as of 01:12, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:5.20.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\psi_{n}(\beta)=\int_{{\mathbb{R}^{n}}}e^{-\beta W% }\mathrm{d}x\\ =(2\pi)^{n/2}\beta^{-(n/2)-(\beta n(n-1)/4)}\*\left(\Gamma\left(1+\tfrac{1}{2}% \beta\right)\right)^{-n}\prod_{j=1}^{n}\Gamma\left(1+\tfrac{1}{2}j\beta\right)% .}}

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DLMF:5.20.E3

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Defining formula

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

C1.S4.SS4.m1adec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3adec

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Defining formula

{\displaystyle{\displaystyle\mathbb{R}}}

introduction.Sx4.p2.t1.r14.m2adec

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Defining formula

{\displaystyle{\displaystyle j}}

C5.S1.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C5.S1.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle x}}

C5.S1.XMD5.m1bdec

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Defining formula

{\displaystyle{\displaystyle W}}

C5.S20.XMD1.m1bdec

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Defining formula

{\displaystyle{\displaystyle\psi_{n}(\beta)}}

C5.S20.XMD4.m1dec

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Defining formula

{\displaystyle{\displaystyle\beta=1/(kT)}}

C5.S20.XMD5.m1dec

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Sitelinks

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