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Display information for equation id:math.224220.68 on revision:224220

* Page found: Student's t-distribution (eq math.224220.68)

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Hash: fc4b947a5e34c93c58c19ca5607aed4b

TeX (original user input):

p(x\mid \nu,\mu,\sigma^2) = \frac{\Gamma(\frac{\nu + 1}{2})}{\Gamma(\frac{\nu}{2})\sqrt{\pi\nu\sigma^2}} \left(1+\frac{1}{\nu}\frac{(x-\mu)^2}{\sigma^2}\right)^{-\frac{\nu+1}{2}}

TeX (checked):

p(x\mid \nu ,\mu ,\sigma ^{2})={\frac {\Gamma ({\frac {\nu +1}{2}})}{\Gamma ({\frac {\nu }{2}}){\sqrt {\pi \nu \sigma ^{2}}}}}\left(1+{\frac {1}{\nu }}{\frac {(x-\mu )^{2}}{\sigma ^{2}}}\right)^{-{\frac {\nu +1}{2}}}

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p times left-parenthesis x bar nu comma mu comma sigma squared right-parenthesis equals StartStartFraction normal upper Gamma times left-parenthesis StartFraction nu plus 1 Over 2 EndFraction right-parenthesis OverOver normal upper Gamma times left-parenthesis StartFraction nu Over 2 EndFraction right-parenthesis times StartRoot pi times nu times sigma squared EndRoot EndEndFraction times left-parenthesis 1 plus StartFraction 1 Over nu EndFraction times StartFraction left-parenthesis x minus mu right-parenthesis squared Over sigma squared EndFraction right-parenthesis Superscript minus StartFraction nu plus 1 Over 2 EndFraction

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Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Unknown relation. Cannot translate: \mid - Reason: No translation possible for given token

Translation to Mathematica

In Mathematica:

Unknown relation. Cannot translate: \mid - Reason: No translation possible for given token

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