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• ArcSin
  ...:AsimapT.png|400px|right|thumb|[[complex map]] of \(u\!+\!\mathrm i v\!=\!\arcsin(x\!+\!\mathrm i y)\)]] '''ArcSin''', or '''asign''', or '''arcsin''' is [[holomorphic function]], inverse of [[sin]];
  9 KB (982 words) - 18:48, 30 July 2019

Page text matches

• Quantum Mechanics
  ...iterated \</math>c\\]times. For example, here, \\[\sin^{-1}(z)\\]means \\[\arcsin(z)<math>, id est, operation "sin" iterated minus once (not \</math>1/\sin(z
  7 KB (1,006 words) - 18:26, 30 July 2019
• ArcCos
  ArcCos can be expressed through function [[ArcSin]]: :\( \displaystyle \arccos(z)=\frac{\pi}{2} - \arcsin(z)\)
  5 KB (754 words) - 18:47, 30 July 2019
• ArcSin
  ...:AsimapT.png|400px|right|thumb|[[complex map]] of \(u\!+\!\mathrm i v\!=\!\arcsin(x\!+\!\mathrm i y)\)]] '''ArcSin''', or '''asign''', or '''arcsin''' is [[holomorphic function]], inverse of [[sin]];
  9 KB (982 words) - 18:48, 30 July 2019
• Путаница
  ...аций. В частности, \(\sin^{-1}(z)\) обозначает \(\arcsin(x)\), a не \(\sin(x)^{-1}\);<br>
  8 KB (210 words) - 18:33, 30 July 2019
• Power function
  In particular, at \(~a\!=\!-1~\), this writing may refer also to the [[ArcSin]] function.
  15 KB (2,495 words) - 18:43, 30 July 2019

• File:AsimapT.png [[Complex map]] of function [[ArcSin]]. : $ f=\arcsin(x+\mathrm i y)$ (1,759 × 1,746 (746 KB)) - 09:41, 21 June 2013

• File:AsinplotT.png [[Explicit plot]] of function [[ArcSin]]; : $y=\mathrm{arcsin}(x)$ (897 × 1,381 (70 KB)) - 09:41, 21 June 2013

• Susin.cin
  ...correct signigificant figures, although the primitive implementation of [[arcsin]] used could be improved. DO(n,m) d=arcsin(d);
  3 KB (269 words) - 18:48, 30 July 2019

• File:Ausin1susinmapt70.jpg // files [[ado.cin]], [[conto.cin]], [[arcsin.cin]], [[susin.cin]], [[ausin.cin]] should be loaded to the working directo #include "arcsin.cin" (2,274 × 2,871 (1.47 MB)) - 08:30, 1 December 2018

• File:Ausinmap52r5.jpg [[arcsin.cin]], //z_type arcsin(z_type z){ return -I* log(I*z + sqrt(1.-z*z) ); } (2,274 × 2,871 (1.24 MB)) - 08:30, 1 December 2018

• File:Ausinsusinmapt50.jpg #include "arcsin.cin" // c=arcsin(z); (2,274 × 2,871 (1,015 KB)) - 08:30, 1 December 2018

• File:Ausintay40t50.jpg [[arcsin.cin]], #include "arcsin.cin" (2,274 × 2,871 (1.7 MB)) - 08:30, 1 December 2018

• File:Hermigaaplot.jpg $\mathrm{qua}(z)=\frac{1}{2}\big( z\,\sqrt{1\!-\!z^2}+\arcsin(z)\big)$ // #include"arcsin.cin" (1,672 × 477 (247 KB)) - 08:37, 1 December 2018

• File:Quaplot.jpg $y=\,$[[qua]]$(x)=\frac{1}{2}\big( x\sqrt{1\!-\!x^2}+\arcsin(x)\big)$ (2,096 × 1,681 (291 KB)) - 08:48, 1 December 2018

• File:Susinmap8t.jpg $\displaystyle F(z)=\lim_{k\rightarrow \infty} \arcsin^k(F_M(z\!+\!k))$ //z_type arcsin(z_type z){ return -I* log(I*z + sqrt(1.-z*z) ); } (4,312 × 4,283 (1.78 MB)) - 08:53, 1 December 2018

• File:Susinplot.jpg ...6 significant figures. In addition, the complex double implementation of [[ArcSin]] used is not robust. In such a way, the algorithm below allows to plot the // Files [[ado.cin]], [[arcsin.cin]], and [[susin.cin]] should be loaded to the working directory in order (2,129 × 466 (112 KB)) - 08:53, 1 December 2018

• Arcsin.cin
  ...is the [[complex double]] routine in [[C++]] for evaluation of function [[ArcSin]] of complex argument. z_type arcsin(z_type z){
  4 KB (488 words) - 06:58, 1 December 2018
• AuSin
  Then, \(\mathrm{AuSin}(\pi/2)=\mathrm{AuSin}(\arcsin(1))=\mathrm{AuSin}(1)-1=0\) Both the explicit plot of ArcSin and its map are symmetric with respect to reflection from the line \(x=\pi
  5 KB (761 words) - 18:48, 30 July 2019
• Elementary function
  [[Arcsin]]\(\, =\sin^{-1}\) as well as \(~\arcsin(x)~\), and only from the context the reader is supposed to guess, which cas
  3 KB (496 words) - 18:45, 30 July 2019
• Inverse function
  \(~\arcsin(x)~\)
  3 KB (444 words) - 18:43, 30 July 2019

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