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- 13:40, 30 January 2026 diff hist -16 m File:FactorialAsymPlotT.png current
- 13:37, 30 January 2026 diff hist +6,069 N File:FactorialAsymPlotT.png {{oq|FactorialAsymPlotT.png|FactorialAsymPlotT.png (708 × 487 pixels, file size: 48 KB, MIME type: image/png) |}} Explicit plot of Factorial and its primitive Stirling asymptotic \[ A(x)=\sqrt{2\pi x} \exp\!\big(\log(x/\mathrm e)\ x\big) \] The green curve shows he Residual \[ R(x) = x! - A(x) \] The blue curve shoes the Logarithmic residual \[ r(x) = \log(x!) - \log(A(x)) \] A large \(x\) the residual \( R(x) \) becomes infinite, but \[ \lim_{x\to +\infty} r(x)=0 \]...
- 21:03, 29 January 2026 diff hist +2 Asymptotic →Apology
- 21:02, 29 January 2026 diff hist -1 Asymptotic
- 21:02, 29 January 2026 diff hist 0 m Asymptotic
- 21:01, 29 January 2026 diff hist +1 Asymptotic
- 21:01, 29 January 2026 diff hist +1 Asymptotic
- 21:01, 29 January 2026 diff hist +1 m Asymptotic
- 21:00, 29 January 2026 diff hist +6 m Asymptotic →Warning
- 20:59, 29 January 2026 diff hist +1 m Asymptotic →Warning
- 20:58, 29 January 2026 diff hist +4 m Asymptotic
- 20:57, 29 January 2026 diff hist +3,673 Asymptotic rewritten
- 20:55, 29 January 2026 diff hist +4,606 N File:AteSuFacPlotU.png {{oq|AteSuFacPlotU.png|AteSuFacPlotU.png (487 × 487 pixels, file size: 30 KB, MIME type: image/png)|}} Explicit plot of combination of natural ArcTetration and SuperFactorial: \(y=\mathrm{ate}\Big(\mathrm{SuFac}(x)\Big)\) For comparison the line \(y=x+0.8\) is also shown. ==C++== →files [[ado.cin]], [[fac.cin]], [[SuFac.cin]], [[fslog.cin]] should be loaded in order to compile the code below.: <pre> =#include <math.h> #include <stdio.h> #include <stdlib.h> #define DB doub... current
- 20:25, 29 January 2026 diff hist +10,670 N 2026.01.26.GreenlandPetition Created page with "{{top}} 2026.01.26.GreenlandPetition is copipast of the Avaa opinion about the attempt of Donald Trump to trough the USA into the Putin world war at the side o..." current
- 20:24, 29 January 2026 diff hist +10,623 N File:2026y01m17makeAmericaGoAwayGreenland600x367.jpg {{oq|2026y01m17makeAmericaGoAwayGreenland600x367.jpg||}} Thumbnail of photo of rally with banner Make America Go Away, Copenhagen, Denmark 2026 January 17. REUTERS Original title<ref> https://www.reuters.com/world/europe/protesters-denmark-support-greenland-after-trumps-takeover-threat-2026-01-17/ Protesters rally in Denmark and Greenland against Trump annexation threat By Stine Jacobsen and Jacob Gronholt-Pedersen January 18, 20262:46 AM GMT+9Updated January 18, 2026 </ref>: [1/6] Prot... current
- 10:13, 29 January 2026 diff hist +5,900 N File:AteSuFacMapV.png {{oq|AteSuFacMapV.png|Original file (1,319 × 1,295 pixels, file size: 125 KB, MIME type: image/png)|480}} Complex map of combination of natural ArcTetration and SuperFactorial: \(f(z)=\mathrm{ate}\Big(\mathrm{SuFac}(z)\Big)\) The map is shown in the top picture with lines \(u=\Re \big(\mathrm{f}(x\!+\!\mathrm i y)\big)\) and lines \(v=\Im \big(\mathrm{f}(x\!+\!\mathrm i y)\big)\) in the \(x,y\) plane. The view of the map hints the conjecture about the asymptotic of... current
- 21:32, 28 January 2026 diff hist +7,027 N File:AteSuExq2plotU.png == Summary == {{oq|AteSuExq2plotU.png|AteSuExq2plotU.png (737 × 438 pixels, file size: 11 KB, MIME type: image/png)}} Explicit plot of combination of natural ArcTetration and growing SuperExponential to base \(\sqrt{2}\): \(y=\mathrm{ate}\Big(\mathrm{SuExq2}(x)\Big)\) Here \(\mathrm{SuExq2}\) is SuperExponential to base \(\sqrt{2}\) constricted as regular iteration at fixed point 4 and placed so that \(\ \mathrm{SuExq2}(0)\!=\!1\ \). == C++ == /* ado.cin, <!--[[Con... current
- 21:31, 28 January 2026 diff hist +6,255 N File:AteSuExq2mapU.png {{oq|AteSuExq2mapU.png|Original file (2,511 × 1,706 pixels, file size: 183 KB, MIME type: image/png)|400|}} Complex map of combination of two functions: natural ArcTetration «ate» and growing superexponential to base \(\sqrt{2}\). \(f(z)=\mathrm{ate}\Big(\mathrm{SuExq2}(z)\Big)\) The map is shown with lines \(u=\Re \big(f(x\!+\!\mathrm i y)\big)\) and lines \(v=\Im \big(f(x\!+\!\mathrm i y)\big)\) in the \(x,y\) plane. ==C++ generator of curves== /* files ado.cin, [[Co... current
- 15:44, 28 January 2026 diff hist +1,090 Stirling current
- 15:29, 28 January 2026 diff hist +6,397 N File:FactoriAsymp9ageeT.png {{oq|FactoriAsymp9ageeT.png|Original file (800 × 667 pixels, file size: 68 KB, MIME type: image/png)|400}} Map of agreement \(a_9\) for displaced Stirling asymptotic for Factorial: \[ A(z)= \sqrt{2\pi z}\ \exp\left(\log\left(\frac{z}{\mathrm e} \right) z + \frac{1}{12 z}\left(1+ \frac{1}{z^2}\left(\frac{-1}{30}+ \frac{1}{z^2}\left(\frac{1}{105}+ \frac{1}{z^2}\left(\frac{-1}{140}+ \frac{1}{z^2}\left(\frac{1}{99}+ \frac{1}{z^2}\left(\frac{-691}{30030} \right) \right) \right) \right)... current
- 21:20, 24 January 2026 diff hist +292 m File:Mathematics.jpeg ref,fer current
- 21:19, 24 January 2026 diff hist +203 m File:Im rutgers.jpg ref, fer current
- 21:19, 24 January 2026 diff hist +56 m Урок квантовой топологии keywords current
- 21:17, 24 January 2026 diff hist +1,395 m Урок квантовой топологии wording, ref, format
- 21:16, 24 January 2026 diff hist +786 m Lesson of quantum topology pic current
- 21:14, 24 January 2026 diff hist +936 Lesson of quantum topology miprints, ref
- 11:13, 23 January 2026 diff hist +325 m Stirling reflection formula
- 10:31, 23 January 2026 diff hist -2,782 Factorial cut the most of section "Stirling formula"; torilink to Stirling current
- 10:16, 23 January 2026 diff hist +302 Vodka Fig -> pic, noon -> noun current
- 10:11, 23 January 2026 diff hist +7,203 N Evaluation terminology Created page with "{{to}} This article is under construction. Evaluation terminology is technical article loaded in order to prevent at very beginning the potential quarrel between the Edit..." current
- 16:58, 22 January 2026 diff hist +1 m Main Page current
- 16:57, 22 January 2026 diff hist +804 Main Page FAKE TORI
- 16:55, 22 January 2026 diff hist +2 Stirling →Gamma function and LoGamma
- 16:54, 22 January 2026 diff hist +231 m Stirling principal branch
- 14:02, 22 January 2026 diff hist +9,524 N Stirling Created page with "{{top}} Stirling («Stirling's Approximation», StirlingsApproximation <ref>https://mathworld.wolfram.com/StirlingsApproximation.html Stirling's approximation gives an..."
- 05:42, 22 January 2026 diff hist +1 Factorial add "0" missed
- 20:38, 21 January 2026 diff hist +8,136 N File:GammaAsymptoBgreeT.png {{oq|GammaAsymptoBgreeT.png|Original file (800 × 667 pixels, file size: 26 KB, MIME type: image/png)|400}} Agreement of Gamma function (implemented through the Factorial from fac.cin) with its asymptotic by <ref name="DLMF"> https://dlmf.nist.gov/5.11 About the Project 5 Gamma Function .. The expansion (5.11.1) is called Stirling’s series (Whittaker and Watson (1927, §12.33)), whereas the expansion (5.11.3), or sometimes just its leading term, is known as Stirling’s formula... current
- 00:47, 21 January 2026 diff hist +1 Factorial →LogFactorial: misprint
- 00:24, 21 January 2026 diff hist +319 Factorial redefine B; add picture
- 18:23, 20 January 2026 diff hist +286 m File:FactoriAsymptoBgreeT.png →Notes by ChatGPT current
- 18:03, 20 January 2026 diff hist +9,760 N File:FactoriAsymptoBgreeT.png {{oq|FactoriAsymptoBgreeT.png|Original file (800 × 667 pixels, file size: 24 KB, MIME type: image/png) |400}} Map of agreement \[ b(z) = - \lg \left(\frac {|z!-B(z)|} {|z!|+|B(z)|} \right) \] of the asymptotic \( B(z)= \sqrt{2\pi z}\ \exp\left(\log\left(\frac{z}{\mathrm e} \right) z \right) \left(1+ \frac{1}{z}\left(\frac{1}{12}+ \frac{1}{z}\left(\frac{1}{288}+ \frac{1}{z}\left(\frac{-139}{51840}+ \frac{1}{z}\left(\frac{-571}{2488320}+ \frac{1}{z}\left(\frac{163879}{209018880}+ \frac...
- 20:37, 19 January 2026 diff hist +6 Factorial
- 19:48, 19 January 2026 diff hist 0 File:FactoriAsymptoAgreeT.png T uploaded a new version of File:FactoriAsymptoAgreeT.png current
- 16:10, 19 January 2026 diff hist +69 Factorial
- 15:43, 19 January 2026 diff hist +185 Factorial mistake about ! and Gamma
- 15:03, 19 January 2026 diff hist +58 m Factorial
- 14:53, 19 January 2026 diff hist +2,451 Factorial add pic and formulas
- 00:46, 19 January 2026 diff hist +270 File:FactoriAsymptoAgreeT.png misprints
- 22:39, 18 January 2026 diff hist +2 m Asymptotic
- 22:24, 18 January 2026 diff hist +1,551 File:FactoriAsymptoAgreeT.png
![→files [[ado.cin]], [[fac.cin]], [[SuFac.cin]], [[fslog.cin]] should be loaded in order to compile the code below.](/t/index.php/File:AteSuFacPlotU.png#files_ado.cin.2C_fac.cin.2C_SuFac.cin.2C_fslog.cin_should_be_loaded_in_order_to_compile_the_code_below.){kind=link}
