All public logs
Jump to navigation
Jump to search
Combined display of all available logs of TORI. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).
(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)- 21:15, 8 February 2026 T talk contribs created page File:SuExp4termsTestQ2mapT.png ({{oq|SuExp4termsTestQ2mapT.png|Original file (1,544 × 1,524 pixels, file size: 308 KB, MIME type: image/png)|400}} Testing of compatibility of the primitive implementations of the infinitely growing SuperExponential \(F\) and the corresponding growing AbelExponential \(G\) for base \(b \in (1,\exp(1/\mathrm e))\). For the first tests, value \(b=\sqrt{2} \) is chosen: for this specific value, the efficient implementations of the superfinctions and the abelfuncitons are aleady loaded...)
- 21:15, 8 February 2026 T talk contribs uploaded File:SuExp4termsTestQ2mapT.png ({{oq|SuExp4termsTestQ2mapT.png|Original file (1,544 × 1,524 pixels, file size: 308 KB, MIME type: image/png)|400}} Testing of compatibility of the primitive implementations of the infinitely growing SuperExponential \(F\) and the corresponding growing AbelExponential \(G\) for base \(b \in (1,\exp(1/\mathrm e))\). For the first tests, value \(b=\sqrt{2} \) is chosen: for this specific value, the efficient implementations of the superfinctions and the abelfuncitons are aleady loaded...)
- 04:02, 7 February 2026 T talk contribs created page File:2026plumPuddingScr720x416.jpg ({{oq|2026plumPuddingScr720x416.jpg||}} «Plum pudding», forecast about realization of the Witkoff-Lavrov Pact in the Putin world war, 2026. Screenshot from movie <ref> https://www.youtube.com/watch?v=zDWwQEwu-1U&t=4 Top Viral Trump Satire & Funny U.S. Political Cartoons | JANUARY 5 Jan 6, 2026 </ref> ==Original description== https://www.youtube.com/watch?v=zDWwQEwu-1U&t=4 2026 Begins with a Bang! Top Viral Trump Satire & Funny U.S. Political Cartoons | JANUARY 5 Jan 6, 2026 #Sa...)
- 04:02, 7 February 2026 T talk contribs uploaded File:2026plumPuddingScr720x416.jpg ({{oq|2026plumPuddingScr720x416.jpg||}} «Plum pudding», forecast about realization of the Witkoff-Lavrov Pact in the Putin world war, 2026. Screenshot from movie <ref> https://www.youtube.com/watch?v=zDWwQEwu-1U&t=4 Top Viral Trump Satire & Funny U.S. Political Cartoons | JANUARY 5 Jan 6, 2026 </ref> ==Original description== https://www.youtube.com/watch?v=zDWwQEwu-1U&t=4 2026 Begins with a Bang! Top Viral Trump Satire & Funny U.S. Political Cartoons | JANUARY 5 Jan 6, 2026 #Sa...)
- 10:28, 5 February 2026 T talk contribs created page File:SuTraAsy3plotT.png ({{oq|SuTraAsy3plotT.png|Original file (737 × 638 pixels, file size: 22 KB, MIME type: image/png)|360}} ==Summary== Explicit plot of function SuTra of real input, pink curve \(\ y=\mathrm{SuTra}(x) \ \) and its asymptotics. SuTra is superfunction for the Trappmann function \( \ z\mapsto z\!+\!\exp(z)\ \).<br> Function SuTra is specified as «Entire Function with Logarithmic Asymptotic».<br> It is described in book «Superfunctions»<ref name="book"> https://mizug...)
- 10:28, 5 February 2026 T talk contribs uploaded File:SuTraAsy3plotT.png ({{oq|SuTraAsy3plotT.png|Original file (737 × 638 pixels, file size: 22 KB, MIME type: image/png)|360}} ==Summary== Explicit plot of function SuTra of real input, pink curve \(\ y=\mathrm{SuTra}(x) \ \) and its asymptotics. SuTra is superfunction for the Trappmann function \( \ z\mapsto z\!+\!\exp(z)\ \).<br> Function SuTra is specified as «Entire Function with Logarithmic Asymptotic».<br> It is described in book «Superfunctions»<ref name="book"> https://mizug...)
- 09:41, 5 February 2026 T talk contribs uploaded a new version of File:SuTraAsyQ2ateT.png (misprint, there was wrong sign in formula y=x-0.7)
- 16:13, 4 February 2026 T talk contribs created page File:SuTraAsyQ2ateT.png ({{oq|SuTraAsyQ2ateT.png|Original file (644 × 1,235 pixels, file size: 28 KB, MIME type: image/png)|600}} Atemptotic Asym (thick light blue curve) of function SuTra (pink curve) through the growing SuperExponential to base \(\sqrt{2}\). Here, term Atemptotic means the Restrict asymptotic with natural ArcTetration \(\mathrm{ate}\) as the Criterion function. \[ \mathrm{SuTra}(x)\ \underset{\overset{x\to +\infty}{x>0}}{{\overset{\mathrm{ate}}{\Larg...)
- 16:13, 4 February 2026 T talk contribs uploaded File:SuTraAsyQ2ateT.png ({{oq|SuTraAsyQ2ateT.png|Original file (644 × 1,235 pixels, file size: 28 KB, MIME type: image/png)|600}} Atemptotic Asym (thick light blue curve) of function SuTra (pink curve) through the growing SuperExponential to base \(\sqrt{2}\). Here, term Atemptotic means the Restrict asymptotic with natural ArcTetration \(\mathrm{ate}\) as the Criterion function. \[ \mathrm{SuTra}(x)\ \underset{\overset{x\to +\infty}{x>0}}{{\overset{\mathrm{ate}}{\Larg...)
- 03:43, 4 February 2026 T talk contribs created page File:SuTraAsyQplotT.png ({{oq|SuTraAsyQplotT.png|Original file (644 × 1,235 pixels, file size: 27 KB, MIME type: image/png)|480}} Explicit plot of function SuTra and its Abelexponential asymptotic. ==Desciption== The thick curves represent the following Special functions. <big><b><span style="color:#00E">Blue curve: </span></b></big></span></b></big> \(\ y=\mathrm{Asym}(x)=\mathrm{SuExp}_{\sqrt{2},4,5}(x\!-\!x_{\mathrm{stq2}}) \) ; this is ArctetralAsymptotic of function SuTra with growing [[Supe...)
- 03:43, 4 February 2026 T talk contribs uploaded File:SuTraAsyQplotT.png ({{oq|SuTraAsyQplotT.png|Original file (644 × 1,235 pixels, file size: 27 KB, MIME type: image/png)|480}} Explicit plot of function SuTra and its Abelexponential asymptotic. ==Desciption== The thick curves represent the following Special functions. <big><b><span style="color:#00E">Blue curve: </span></b></big></span></b></big> \(\ y=\mathrm{Asym}(x)=\mathrm{SuExp}_{\sqrt{2},4,5}(x\!-\!x_{\mathrm{stq2}}) \) ; this is ArctetralAsymptotic of function SuTra with growing [[Supe...)
- 20:21, 31 January 2026 T talk contribs created page File:2023.09.22.Roskompozor.jpg ({{oq|2023.09.22.Roskompozor.jpg|Original file (573 × 800 pixels, file size: 142 KB, MIME type: image/jpeg)|}} 2023.09.22, «Якутск вечерний» <ref> https://t.me/yakutia14news/14623?embed=1&mode=tme Первая полоса сегодняшнего номера газеты «Якутск вечерний» посвящена запрету Роскомнадзора на прокат фильма «Айта» Sep 22 at 14:35 (2023 ?) </ref> ==Description== https://www.bbc.com/russian/articles/cxx6kyy2de5o У якутского фильма «Айта» отозвали прокатное удостоверение. Как развивался сканд...)
- 20:21, 31 January 2026 T talk contribs uploaded File:2023.09.22.Roskompozor.jpg ({{oq|2023.09.22.Roskompozor.jpg|Original file (573 × 800 pixels, file size: 142 KB, MIME type: image/jpeg)|}} 2023.09.22, «Якутск вечерний» <ref> https://t.me/yakutia14news/14623?embed=1&mode=tme Первая полоса сегодняшнего номера газеты «Якутск вечерний» посвящена запрету Роскомнадзора на прокат фильма «Айта» Sep 22 at 14:35 (2023 ?) </ref> ==Description== https://www.bbc.com/russian/articles/cxx6kyy2de5o У якутского фильма «Айта» отозвали прокатное удостоверение. Как развивался сканд...)
- 12:55, 31 January 2026 T talk contribs created page File:BelyaevAlekseiAnatolievichTelegram.jpg ({{oq|BelyaevAlekseiAnatolievichTelegram.jpg|Original file (1,000 × 667 pixels, file size: 67 KB, MIME type: image/jpeg) |400}} Беляев Алексей Анатольевич (Belyaev Aleksei Anatolievich, 1983.10.06, Дмитровград Ульяновской области - 2026.01.19, Москва) <ref name="scr67"> https://www.youtube.com/watch?v=fpb70Cl3hhM&t=67 Убийство в Роскомнадзоре | Медики без зарплат | На кладбищах кончаются места | Итоги дня Популярная политика Jan 31, 2026. Ведущая: Анастасия Кадетова —...)
- 12:55, 31 January 2026 T talk contribs uploaded File:BelyaevAlekseiAnatolievichTelegram.jpg ({{oq|BelyaevAlekseiAnatolievichTelegram.jpg|Original file (1,000 × 667 pixels, file size: 67 KB, MIME type: image/jpeg) |400}} Беляев Алексей Анатольевич (Belyaev Aleksei Anatolievich, 1983.10.06, Дмитровград Ульяновской области - 2026.01.19, Москва) <ref name="scr67"> https://www.youtube.com/watch?v=fpb70Cl3hhM&t=67 Убийство в Роскомнадзоре | Медики без зарплат | На кладбищах кончаются места | Итоги дня Популярная политика Jan 31, 2026. Ведущая: Анастасия Кадетова —...)
- 09:45, 31 January 2026 T talk contribs created page Беляев Алексей Анатольевич (Created page with "{{top}} {{fig|BelyaevAlekseiAnatolievichScr606x960.jpg|202|-70|2|8|Screenshot from movie <ref name="scr67"> https://www.youtube.com/watch?v=fpb70Cl3hhM&t=67 Убийство...")
- 09:44, 31 January 2026 T talk contribs created page File:BelyaevAlekseiAnatolievichScr606x960.jpg (== Summary == {{oq|BelyaevAlekseiAnatolievichScr606x960.jpg|Original file (606 × 960 pixels, file size: 125 KB, MIME type: image/jpeg) |}} Беляев Алексей Анатольевич (Belyaev Aleksei Anatolievich, 1983.10.06 - 2026.01.30, Москва), росийский чиновник, агент роскомнадзора (цензор), пособник путинского режима. Screenshot from movie <ref> https://www.youtube.com/watch?v=fpb70Cl3hhM&t=67 Убийство в Роскомнадзоре | Медики без зарплат | На кладбищах кончаются места | Итоги дня...)
- 09:44, 31 January 2026 T talk contribs uploaded File:BelyaevAlekseiAnatolievichScr606x960.jpg (== Summary == {{oq|BelyaevAlekseiAnatolievichScr606x960.jpg|Original file (606 × 960 pixels, file size: 125 KB, MIME type: image/jpeg) |}} Беляев Алексей Анатольевич (Belyaev Aleksei Anatolievich, 1983.10.06 - 2026.01.30, Москва), росийский чиновник, агент роскомнадзора (цензор), пособник путинского режима. Screenshot from movie <ref> https://www.youtube.com/watch?v=fpb70Cl3hhM&t=67 Убийство в Роскомнадзоре | Медики без зарплат | На кладбищах кончаются места | Итоги дня...)
- 23:23, 30 January 2026 T talk contribs created page File:SuTraAsy2plotT.png ({{oq|SuTraAsy2plotT.png|Original file (819 × 708 pixels, file size: 75 KB, MIME type: image/png)|400}} Function SuTra of real argument and its asympototics. at large negative values of the input, \[ \mathrm{SuTra}(x) \sim -\ln(-x) \] At large positieve values of the input, \[ \mathrm{SuTra}(x) \underset{\mathrm{ate},\ x\to +\infty}{\sim} \mathrm{tet}(x\!-\!x_{\mathrm {st}} ) \] The finger estimate suggests that \(\ x_{\mathrm {st}} \approx 0.7 \) Function SuTra is specifie...)
- 23:23, 30 January 2026 T talk contribs uploaded File:SuTraAsy2plotT.png ({{oq|SuTraAsy2plotT.png|Original file (819 × 708 pixels, file size: 75 KB, MIME type: image/png)|400}} Function SuTra of real argument and its asympototics. at large negative values of the input, \[ \mathrm{SuTra}(x) \sim -\ln(-x) \] At large positieve values of the input, \[ \mathrm{SuTra}(x) \underset{\mathrm{ate},\ x\to +\infty}{\sim} \mathrm{tet}(x\!-\!x_{\mathrm {st}} ) \] The finger estimate suggests that \(\ x_{\mathrm {st}} \approx 0.7 \) Function SuTra is specifie...)
- 13:37, 30 January 2026 T talk contribs created page 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 \[ \lim_{x\to +\infty} r(x)=0 \]...)
- 13:37, 30 January 2026 T talk contribs uploaded 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 \[ \lim_{x\to +\infty} r(x)=0 \]...)
- 20:55, 29 January 2026 T talk contribs created page 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...)
- 20:55, 29 January 2026 T talk contribs uploaded 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...)
- 20:25, 29 January 2026 T talk contribs created page 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...")
- 20:24, 29 January 2026 T talk contribs created page 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...)
- 20:24, 29 January 2026 T talk contribs uploaded 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...)
- 10:13, 29 January 2026 T talk contribs created page 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...)
- 10:13, 29 January 2026 T talk contribs uploaded 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...)
- 21:32, 28 January 2026 T talk contribs created page 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...)
- 21:32, 28 January 2026 T talk contribs uploaded 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...)
- 21:31, 28 January 2026 T talk contribs created page 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...)
- 21:31, 28 January 2026 T talk contribs uploaded 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...)
- 15:29, 28 January 2026 T talk contribs created page 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)...)
- 15:29, 28 January 2026 T talk contribs uploaded 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)...)
- 10:11, 23 January 2026 T talk contribs created page 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...")
- 14:02, 22 January 2026 T talk contribs created page Stirling (Created page with "{{top}} Stirling («Stirling's Approximation», StirlingsApproximation <ref>https://mathworld.wolfram.com/StirlingsApproximation.html Stirling's approximation gives an...")
- 20:38, 21 January 2026 T talk contribs created page 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...)
- 20:38, 21 January 2026 T talk contribs uploaded 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...)
- 18:03, 20 January 2026 T talk contribs created page 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...)
- 18:03, 20 January 2026 T talk contribs uploaded 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...)
- 19:48, 19 January 2026 T talk contribs uploaded a new version of File:FactoriAsymptoAgreeT.png (misprint in the code had been corrected)
- 18:36, 18 January 2026 T talk contribs created page File:FactoriAsymptoAgreeT.png ({{oq|FactoriAsymptoAgreeT.png|Original file (800 × 667 pixels, file size: 50 KB, MIME type: image/png)|400}} Map of agreement \[ a(z) = - \lg \left(\frac {|z!-A(z)|} {|z!|+|A(z)|} \right) \] of the asymptotic \[ 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{-1}{42} \right) \rig...)
- 18:36, 18 January 2026 T talk contribs uploaded File:FactoriAsymptoAgreeT.png ({{oq|FactoriAsymptoAgreeT.png|Original file (800 × 667 pixels, file size: 50 KB, MIME type: image/png)|400}} Map of agreement \[ a(z) = - \lg \left(\frac {|z!-A(z)|} {|z!|+|A(z)|} \right) \] of the asymptotic \[ 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{-1}{42} \right) \rig...)
- 10:02, 17 January 2026 T talk contribs created page File:Z2sin1zMapT.png ({{oq|Z2sin1zMapT.png|Original file (1,933 × 1,124 pixels, file size: 118 KB, MIME type: image/png)|400}} Complex map of function \(f= z \mapsto z^2\sin(1/z) \ \). Notation: \( u+\mathrm i v = f(x\!+\!\mathrm i y)\ \); levels \(u=\mathrm{const}\) and levels \(v=\mathrm{const}\) are drawn. The conditional asymptotic \( z \mapsto 0\ \) takes place at \( z \to 0 \ , |\Im(z)|<\Re(z)^2\) : \[ \lim_{z\to 0,\ |\Im(z)|<\Re(z)^2 } f(z)=0 \] Range \(|y|<x^2\) in the map is shaded. The [[unco...)
- 10:02, 17 January 2026 T talk contribs uploaded File:Z2sin1zMapT.png ({{oq|Z2sin1zMapT.png|Original file (1,933 × 1,124 pixels, file size: 118 KB, MIME type: image/png)|400}} Complex map of function \(f= z \mapsto z^2\sin(1/z) \ \). Notation: \( u+\mathrm i v = f(x\!+\!\mathrm i y)\ \); levels \(u=\mathrm{const}\) and levels \(v=\mathrm{const}\) are drawn. The conditional asymptotic \( z \mapsto 0\ \) takes place at \( z \to 0 \ , |\Im(z)|<\Re(z)^2\) : \[ \lim_{z\to 0,\ |\Im(z)|<\Re(z)^2 } f(z)=0 \] Range \(|y|<x^2\) in the map is shaded. The [[unco...)
- 21:30, 12 January 2026 T talk contribs moved page File:TraItT.jpg to File:TraitT.jpg (It is declared so in the Book)
- 17:00, 12 January 2026 T talk contribs created page Autran.cin (Created page with "{{to}} Autran.cin is C++ implementation of function AuTra; it is Abelfunction of the elementary Trappmann function \(\mathrm{tra} = z\mapsto z+\exp(z)\) It i...")
- 16:55, 12 January 2026 T talk contribs uploaded a new version of File:AuTraMapT.jpg (smaller size, better view)
- 22:39, 11 January 2026 T talk contribs uploaded a new version of File:Autraplot.jpg (corrected misprint in the label)
