Difference between revisions of "File:SquareRootOfFactorial.png"

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Graphical representation of the [[Square root of factorial]]: functions<br>
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$y\!=\! \mathrm{factorial}(x)=x!$, thin black line, and<br>
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$y\!=\!\mathrm{factorial}^{1/2}(x)\!=\!\sqrt{\mathrm{factorial}}(x)
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\!=\!\sqrt{!\,}(x)$, thick red line, versus $x$.
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For $x\!>\!1$ the relation below holds:
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<!--$\sqrt{\mathrm{factorial}}\!\Big( \sqrt{\mathrm{factorial}}(x) \Big)$.!-->
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: $\sqrt{!\,}\!\Big( \sqrt{!\,}(x) \Big)=x!$
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Copyleft 2011 by Dmitrii Kouznetsov.
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[[Category:Superfunctions]]
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[[Category:Factorial]]
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[[Category:Explicit plots]]

Latest revision as of 09:39, 21 June 2013

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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