# File:FactoReal.jpg

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## Summary

 Title / Description Graphic of factorial versus real , red; , green; , blue. The extremal points are marked with pink: ; . Dmitrii Kouznetsov Dmitrii KouznetsovSee below for license/re-use information. Factorial/Code January 2009 Japan You can edit this page and add notes here which may be useful to people who wish to re-use this media. If there are other versions of this media on CZ, please list them here. Please click here to add the credit line, then copy the code below to add this image to a Citizendium article, changing the size, alignment, and caption as necessary. {{Image|FactoReal.jpg|right|350px|Add image caption here.}}
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Date/Time Thumbnail Dimensions User Comment current 08:56, 19 January 2009 915 × 1,310 (141 KB) Dmitrii Kouznetsov (Talk | contribs) {{Image notes |Description=Graphic of factorial$(x)=x!$ versus real $x$, red; $\mathrm{factoria}l^{-1}(x)$, green; $\mathrm{factorial}(x)^{-1}$, blue.
The extremal points are marked with pink: $\mathrm{factorial}'(\nu_n)=0$; $\mu_n=\mathrm{factorial}(\nu_n)$. |Author= Dmitrii Kouznetsov |Date= January 2009 |Source= FactoReal.jpg/code |Country first published in= Japan |Copyright holder=Dmitrii Kouznetsov |Notes= |Other versions=}} 08:43, 19 January 2009 925 × 1,319 (129 KB) Dmitrii Kouznetsov (Talk | contribs) {{Image notes |Description=Graphic of factorial$(x)=x!$ versus real $x$, red; $\mathrm{factorial^{-1}(x)$, green; $\mathrm{factorial(x)^{-1}$, blue.
The first extremal points are marked with pink: $\mathrm{factorial}'(\nu_n)=0$; $\mu_n=\mathrm{factorial}(\nu_n)$. |Author= Dmitrii Kouznetsov |Date= January 2009 |Source= FactoReal.jpg/code |Country first published in= Japan |Copyright holder=Dmitrii Kouznetsov |Notes= |Other versions=}}