File:SquareRootOfFactorial.png

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Graphical representation of the Square root of factorial: functions
$y\!=\! \mathrm{factorial}(x)=x!$, thin black line, and
$y\!=\!\mathrm{factorial}^{1/2}(x)\!=\!\sqrt{\mathrm{factorial}}(x) \!=\!\sqrt{!\,}(x)$, thick red line, versus $x$.

For $x\!>\!1$ the relation below holds:

$\sqrt{!\,}\!\Big( \sqrt{!\,}(x) \Big)=x!$


Copyleft 2011 by Dmitrii Kouznetsov.

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current17:50, 20 June 2013Thumbnail for version as of 17:50, 20 June 2013538 × 1,050 (34 KB)Maintenance script (talk | contribs)Importing image file