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• AuSin
  [[File:Ausinplot1.jpg|300px|thumb|\(y=\mathrm{AuSin}(x)\)]] [[File:Ausinmap52r5.jpg|300px|thumb|\(u+\mathrm i v=\mathrm{AuSin}(x\!+\!\mathrm i y)\) ]]
  5 KB (761 words) - 18:48, 30 July 2019

Page text matches

• Место науки в человеческом знании
  [[Complex map]] of function [[AuSin]]</small> !-->
  111 KB (2,581 words) - 16:54, 17 June 2020
• Table of superfunctions
  | \(~ \mathrm{AuSin}(z)\) | [[sin]], [[SuSin]], [[AuSin]]
  11 KB (1,565 words) - 18:26, 30 July 2019
• Iteration
  ...nctions [[SuSin]] and [[AuSin]]; \( \sin^n(z)=\mathrm{SuSin}\big(n+\mathrm{AuSin}(z)\big)\) [[AuSin]],
  14 KB (2,203 words) - 06:36, 20 July 2020
• Superfunctions
  [[Complex map]]: truncated Taylor expansion of abelsine [[AuSin]], Fig.22.2</p></center></small>
  15 KB (2,166 words) - 20:33, 16 July 2023
• Arcsin.cin
  ...ing of routines for [[iteration]] of [[sin]], see articles [[SuSin]] and [[AuSin]].
  4 KB (488 words) - 06:58, 1 December 2018
• AuSin
  [[File:Ausinplot1.jpg|300px|thumb|\(y=\mathrm{AuSin}(x)\)]] [[File:Ausinmap52r5.jpg|300px|thumb|\(u+\mathrm i v=\mathrm{AuSin}(x\!+\!\mathrm i y)\) ]]
  5 KB (761 words) - 18:48, 30 July 2019
• Ausin.cin
  // [[ausin.cin]] is [[complex double]] implementation of function [[AuSin]], which is inverse of [[SuSin]] and the [[Abel function]] for [[sin]]. z_type ausin(z_type z){ int m,M;
  1 KB (156 words) - 06:58, 1 December 2018
• Conjecture on superfunctions
  ...in(AuSin(z))=z holds. Iteration of sin is expressed with sinˆn(z)=SuSin(n+AuSin(z)), where the number n of iteration has no need to be integer. .. ...in(AuSin(z))=z holds. Iteration of sin is expressed with sinˆn(z)=SuSin(n+AuSin(z)), where the number n of iteration has no need to be integer. ..
  7 KB (1,031 words) - 03:16, 12 May 2021
• Exotic iteration
  ...in(AuSin(z))=z holds. Iteration of sin is expressed with sinˆn(z)=SuSin(n+AuSin(z)), where the number n of iteration has no need to be integer. ..
  11 KB (1,715 words) - 18:44, 30 July 2019
• Sin
  ==Representation through [[SuSin]] and [[AuSin]] and iterations== ...umb|Range of validity of representation of [[sin]] through [[SuSin]] and [[AuSin]]; \(u\!+\!\mathrm i v =\sin(z)\); \(z\!=\!x\!+\!\mathrm i y\) ]]
  4 KB (680 words) - 18:43, 30 July 2019
• Special function
  [[File:Ausinmap52r5.jpg|300px|thumb|\(u+\mathrm i v =\,\) [[AuSin]]\((x\!+\!\mathrm i y)\)]] ...ot defined (nor implemented) outside some range. Complex map of function [[AuSin]] is shown in figure at right.
  7 KB (991 words) - 18:48, 30 July 2019
• SuSin
  These coefficients are evaluated inverting the expansion of [[AuSin]] at \(\pi/2\). ...uSin}\) is [[Abel function]] of sin; let it be called [[AuSin]], \(\mathrm{AuSin}=\mathrm{SuSin}^{-1}\),
  15 KB (2,314 words) - 18:48, 30 July 2019
• Суперфункции
  [[AuSin]], [[Category:AuSin]]
  19 KB (1,132 words) - 20:36, 16 July 2023
• Nemtsov function and its iterates
  ...\sin\), considered in 2014; the superfunction [[SuSin]] and abelfunction [[AuSin]] are constructed <ref name="sin"/>:
  15 KB (2,392 words) - 11:05, 20 July 2020