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  • 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)
  • 15:11, 11 January 2026 T talk contribs moved page Asymtotic to Asymptotic without leaving a redirect (misprint)
  • 13:51, 11 January 2026 T talk contribs created page Sectorial asymptotic (Created page with "{{top}} This article is under construction. In complex analysis, the term Sectorial asymptotic refers to the asymptotic behavior of a complex-valued function along rays c...")
  • 12:52, 11 January 2026 T talk contribs created page Asymtotic (Created page with "{{top}} Warning: this article is under construction. Asymptotic is statement about behaviors of a function (usually a holomorphic function) in some vicinity of some i...")
  • 18:52, 10 January 2026 T talk contribs created page Examples of sectorial and strip asymptotics (load draft by ChatGPT, slightly edited.)
  • 18:10, 10 January 2026 T talk contribs created page Strip asymptotic (draft by ChatGPT with cosmetic corrections.)
  • 15:47, 9 January 2026 T talk contribs created page Entire Function with Logarithmic Asymptotic (Created page with "{{top}} Term Entire Function with Logarithmic Asymptotic appears as title of publication <ref name="hikari"> https://www.m-hikari.com/ams/ams-2013/ams-129-132-2013/kouz...")
  • 15:44, 9 January 2026 T talk contribs created page File:SuTraMapN.png (== Summary == {{oq|SuTraMapN.png||480px}} Complex map of the Entire Function with Logarithmic Asymptotic. This function is defined thought the SuTra function <ref> https://www.m-hikari.com/ams/ams-2013/ams-129-132-2013/kouznetsovAMS129-132-2013.pdf <br> https://mizugadro.mydns.jp/PAPERS/2013hikari.pdf D.Kouznetsov. Entire Function with Logarithmic Asymptotic. Applied Mathematical Sciences, Vol. 7, 2013, no. 131, 6527 - 6541 </ref><ref> https://www.morebooks.de/store/ru/b...)
  • 15:44, 9 January 2026 T talk contribs uploaded File:SuTraMapN.png (== Summary == {{oq|SuTraMapN.png||480px}} Complex map of the Entire Function with Logarithmic Asymptotic. This function is defined thought the SuTra function <ref> https://www.m-hikari.com/ams/ams-2013/ams-129-132-2013/kouznetsovAMS129-132-2013.pdf <br> https://mizugadro.mydns.jp/PAPERS/2013hikari.pdf D.Kouznetsov. Entire Function with Logarithmic Asymptotic. Applied Mathematical Sciences, Vol. 7, 2013, no. 131, 6527 - 6541 </ref><ref> https://www.morebooks.de/store/ru/b...)
  • 15:42, 9 January 2026 T talk contribs created page File:SuTraMapLT.png ({{oq|SuTraMapLT.png|Original file ‎(2,010 × 2,008 pixels, file size: 153 KB, MIME type: image/png)|480}} Complex map of Logarithm prepared for comparison to that for the example(s) of an Entire Function with Logarithmic Asymptotic. The natural logarithm is shown assuming \(u+\mathrm i v= \log(x+\mathrm i y) \) in the \(x,y\) plane with lines \(u=\rm const\) and lines \(v=\rm const\) . ==C++ generator of curves== /* files ado.cin and conto.cin sould be loaded in order...)
  • 15:42, 9 January 2026 T talk contribs uploaded File:SuTraMapLT.png ({{oq|SuTraMapLT.png|Original file ‎(2,010 × 2,008 pixels, file size: 153 KB, MIME type: image/png)|480}} Complex map of Logarithm prepared for comparison to that for the example(s) of an Entire Function with Logarithmic Asymptotic. The natural logarithm is shown assuming \(u+\mathrm i v= \log(x+\mathrm i y) \) in the \(x,y\) plane with lines \(u=\rm const\) and lines \(v=\rm const\) . ==C++ generator of curves== /* files ado.cin and conto.cin sould be loaded in order...)
  • 09:05, 7 January 2026 T talk contribs created page File:TrumpiaMap800x450.jpg ({{oq|TrumpiaMap800x450.jpg|TrumpiaMap800x450.jpg ‎(800 × 450 pixels, file size: 45 KB, MIME type: image/jpeg)}} New World Order map, 2026. Screenshot from movie <ref> https://www.youtube.com/watch?v=q8H8WgQvU94&t=17 Uncensored! Top Trump Parody & Funny American Political Comics | Daily United States Cartoon | JAN 4 ameriCArtoon Jan 5, 2026 </ref> ==References== {{ref}} {{fer}} ==Keywords== «Annexation of Canada», «Annexation of Crimea», «Annexation of Greenland», «[[Donald...)
  • 09:05, 7 January 2026 T talk contribs uploaded File:TrumpiaMap800x450.jpg ({{oq|TrumpiaMap800x450.jpg|TrumpiaMap800x450.jpg ‎(800 × 450 pixels, file size: 45 KB, MIME type: image/jpeg)}} New World Order map, 2026. Screenshot from movie <ref> https://www.youtube.com/watch?v=q8H8WgQvU94&t=17 Uncensored! Top Trump Parody & Funny American Political Comics | Daily United States Cartoon | JAN 4 ameriCArtoon Jan 5, 2026 </ref> ==References== {{ref}} {{fer}} ==Keywords== «Annexation of Canada», «Annexation of Crimea», «Annexation of Greenland», «[[Donald...)
  • 23:16, 6 January 2026 T talk contribs created page File:2024naWashingron600.jpg ({{oq|2024naWashingron600.jpg|2024naWashingron600.jpg ‎(600 × 328 pixels, file size: 41 KB, MIME type: image/jpeg)}} «Для победы в СВО», «Нацелить ракеты на США», «Сарматы на Штаты», «На Вашингтон» Fascist rally at Moscovia, no later than 2024.12.09. Screenshot from movie <ref> https://www.youtube.com/watch?v=Mk5-p8tZhBw&t=45 ТОЙ НОЧЬЮ! НОВЕЙШИЕ морские дроны ВСУ уничтожили десятки самолетов и вертолетов! ДОЛГО ОРАЛ Алёна Курбанова 2024.12.10. </ref> ==References== {{ref}} {{fer}} ==...)
  • 23:16, 6 January 2026 T talk contribs uploaded File:2024naWashingron600.jpg ({{oq|2024naWashingron600.jpg|2024naWashingron600.jpg ‎(600 × 328 pixels, file size: 41 KB, MIME type: image/jpeg)}} «Для победы в СВО», «Нацелить ракеты на США», «Сарматы на Штаты», «На Вашингтон» Fascist rally at Moscovia, no later than 2024.12.09. Screenshot from movie <ref> https://www.youtube.com/watch?v=Mk5-p8tZhBw&t=45 ТОЙ НОЧЬЮ! НОВЕЙШИЕ морские дроны ВСУ уничтожили десятки самолетов и вертолетов! ДОЛГО ОРАЛ Алёна Курбанова 2024.12.10. </ref> ==References== {{ref}} {{fer}} ==...)
  • 23:15, 6 January 2026 T talk contribs created page RedPu (Created page with "{{top}} <div style="float:right; margin:-72px 0px 0px 8px; width:160px"> {{pic|Pepel.jpg|160px}}<small><center>Киселев Дмитрий Константинович|...")
  • 14:29, 6 January 2026 T talk contribs created page ChatGPT in TORI (Created page with "{{top}} ChatGPT in TORI is statement generated by ChatGPT about its contribution to TORI. Initially, the statement had been designed as section Нападен...")
  • 14:20, 6 January 2026 T talk contribs created page Category:ChatGPT (Created page with "This category refers to articles generated by ChatGRT or edited with assistance of ChatGRP. The technical descriptions of the articles and their discussions are suppo...")
  • 04:03, 6 January 2026 T talk contribs created page Президент войны (Created page with "{{top}} Президент войны есть чиновник, offee, оффи, занимающий самый высокий пост в своей стр...")
  • 00:15, 5 January 2026 T talk contribs created page Нападение США на Венесуэлу (Created page with "{{top}} {{fig|MaduroFlores620x496.jpg|168|-84|4|8|Мадуро и Флорес Хилия Хулиевна|Флоре...")
  • 00:14, 5 January 2026 T talk contribs created page File:VenezuelaMapSc720x420.jpg ({{oq|VenezuelaMapSc720x420.jpg|VenezuelaMapSc720x420.jpg ‎(720 × 420 pixels, file size: 39 KB, MIME type: image/jpeg) }} Map of the USA attack on Venezuela 2026.01.03. Screenshot from movie <ref>https://www.youtube.com/watch?v=19YQ1-I8whQ&t=238 Как американцы захватили Николаса Мадуро СВО made in USA: что операция США в Венесуэле значит для России и мира Dmitry Kolezev Jan 4, 2026 🌟Легальная иммиграция в США США провели чрезвычайно эффективную и успешную — по крайней мере на первый взгляд...)
  • 00:14, 5 January 2026 T talk contribs uploaded File:VenezuelaMapSc720x420.jpg ({{oq|VenezuelaMapSc720x420.jpg|VenezuelaMapSc720x420.jpg ‎(720 × 420 pixels, file size: 39 KB, MIME type: image/jpeg) }} Map of the USA attack on Venezuela 2026.01.03. Screenshot from movie <ref>https://www.youtube.com/watch?v=19YQ1-I8whQ&t=238 Как американцы захватили Николаса Мадуро СВО made in USA: что операция США в Венесуэле значит для России и мира Dmitry Kolezev Jan 4, 2026 🌟Легальная иммиграция в США США провели чрезвычайно эффективную и успешную — по крайней мере на первый взгляд...)
  • 00:13, 5 January 2026 T talk contribs created page File:VenezuelaMapScr720x360.png ({{oq|VenezuelaMapScr720x360.png|VenezuelaMapScr720x360.png ‎(720 × 360 pixels, file size: 22 KB, MIME type: image/png)}} Caracas, Venezuela map. Screenshot from movie <ref> https://www.youtube.com/watch?v=WhaMqSXe4a4&t=952 Повлияют ли эти события на мировые цены на нефть?// Нападение США на Венесуэлу: последствия атаки и ареста Мадуро// Владимир Милов Jan 4, 2026// Экспресс-комментарий Владимира Милова по горячим следам нападения США на Венесуэлу и захвата Николаса Мадуро 00:00 Всех...)
  • 00:13, 5 January 2026 T talk contribs uploaded File:VenezuelaMapScr720x360.png ({{oq|VenezuelaMapScr720x360.png|VenezuelaMapScr720x360.png ‎(720 × 360 pixels, file size: 22 KB, MIME type: image/png)}} Caracas, Venezuela map. Screenshot from movie <ref> https://www.youtube.com/watch?v=WhaMqSXe4a4&t=952 Повлияют ли эти события на мировые цены на нефть?// Нападение США на Венесуэлу: последствия атаки и ареста Мадуро// Владимир Милов Jan 4, 2026// Экспресс-комментарий Владимира Милова по горячим следам нападения США на Венесуэлу и захвата Николаса Мадуро 00:00 Всех...)
  • 00:10, 5 January 2026 T talk contribs created page File:MaduroFlores620x496.jpg ({{oq|VenezuelaMapSc720x420.jpg|VenezuelaMapSc720x420.jpg ‎(720 × 420 pixels, file size: 39 KB, MIME type: image/jpeg) }} Map of the USA attack on Venezuela 2026.01.03. Screenshot from movie <ref>https://www.youtube.com/watch?v=19YQ1-I8whQ&t=238 Как американцы захватили Николаса Мадуро СВО made in USA: что операция США в Венесуэле значит для России и мира Dmitry Kolezev Jan 4, 2026 🌟Легальная иммиграция в США США провели чрезвычайно эффективную и успешную — по крайней мере на первый взгляд...)
  • 00:10, 5 January 2026 T talk contribs uploaded File:MaduroFlores620x496.jpg ({{oq|VenezuelaMapSc720x420.jpg|VenezuelaMapSc720x420.jpg ‎(720 × 420 pixels, file size: 39 KB, MIME type: image/jpeg) }} Map of the USA attack on Venezuela 2026.01.03. Screenshot from movie <ref>https://www.youtube.com/watch?v=19YQ1-I8whQ&t=238 Как американцы захватили Николаса Мадуро СВО made in USA: что операция США в Венесуэле значит для России и мира Dmitry Kolezev Jan 4, 2026 🌟Легальная иммиграция в США США провели чрезвычайно эффективную и успешную — по крайней мере на первый взгляд...)
  • 12:40, 4 January 2026 T talk contribs created page File:Veslo.png ({{oq|Veslo.png|Original file ‎(1,414 × 969 pixels, file size: 24 KB, MIME type: image/png)|360}} Fig.19.8 from page 267 of book «Superfunctions»<ref> https://mizugadro.mydns.jp/BOOK/468.pdf D.Kouznetsov. Superfunctions. Lambert Academic Publishing, 2020.</ref> ==Description== ラフティングは禁止！ パソコンの前に座って、素晴らしい本「Superfunctions」を書き上げましょう！ ==English== No rafting! Sit at your computer and finish your genius book "Superfunctions"! ==Russian== Никакого каякинга! Иди умойся и сад...)
  • 12:40, 4 January 2026 T talk contribs uploaded File:Veslo.png ({{oq|Veslo.png|Original file ‎(1,414 × 969 pixels, file size: 24 KB, MIME type: image/png)|360}} Fig.19.8 from page 267 of book «Superfunctions»<ref> https://mizugadro.mydns.jp/BOOK/468.pdf D.Kouznetsov. Superfunctions. Lambert Academic Publishing, 2020.</ref> ==Description== ラフティングは禁止！ パソコンの前に座って、素晴らしい本「Superfunctions」を書き上げましょう！ ==English== No rafting! Sit at your computer and finish your genius book "Superfunctions"! ==Russian== Никакого каякинга! Иди умойся и сад...)
  • 05:21, 4 January 2026 T talk contribs uploaded a new version of File:Penzoo25t400.jpg (reduce size)
  • 03:23, 3 January 2026 T talk contribs created page Weekday vs Day-of-Week (Created page with "{{top}} The terms weekday and day of the week are often confused in natural languages, including English, Japanese, and Russian. This article clarifies t...")
  • 03:09, 3 January 2026 T talk contribs created page 平日 (Created page with "{{top}} 平日 (へいじつ, Heijitsu) denotes a weekday in Japanese, that is, a day from 月曜日 (Monday) to 金曜日 (Friday), excluding...")
  • 03:08, 3 January 2026 T talk contribs created page GoogleTranslate (Created page with "{{top}} GoogleTranslation (commonly known as GoogleTranslate) is an online machine translation service provided by Google and available at: https://translate.goog...")
  • 18:19, 2 January 2026 T talk contribs created page Bug (Created page with "{{top}} In TORI, term bug denotes a "temporary error in the software." The empiric observations show that any non-trivial software have bugs. In such a way, ter...")
  • 17:00, 2 January 2026 T talk contribs created page File:MokuyoubiErrorScr1170x470.png ({{oq|MokuyoubiErrorScr1170x470.png|Original file ‎(1,170 × 470 pixels, file size: 18 KB, MIME type: image/png)|360}} <b><big><center>WARNING: Wrong interpretation in the picture</center></big></b> Screenshot of the error of the GoogleTranslate <ref> https://translate.google.com/?sl=ja&tl=en&text=もくようび&op=translate もくようび Mo ku yō bi Wednesday </ref> at the translation of word «もくようび» from Japanese to English. ==Error== The wrong translation is shown in the scree...)
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