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• C++
  ...n of the previously developed language '''C''', that allows to deal with [[complex number]]s and has many other advantages. ...ne [[conto.cin]] generates the [[contour plot]]s; and in particular, the [[complex map]]s of functions of compex variables
  4 KB (608 words) - 15:01, 20 June 2013
• AuTra
  are directed to the left hand side of the complex plane, parallel to the real axis. In [[TORI]], this is default choice of th This section describe the [[complex double]] numerical implementation of AuTra. For \(M=9\), the figure at rig
  6 KB (1,009 words) - 18:48, 30 July 2019
• Maps of tetration
  Article [[Maps of tetration]] collects some [[complex map]]s of [[tetration]] \(\mathrm{tet}_b\) to different values of base \(b\ At the complex maps, the following cases are represented:
  5 KB (761 words) - 12:00, 21 July 2020
• Abelpower
  The [[complex map]]s of them are shown below with levels of constant real part and levels In the most of the complex plane, values of functions
  3 KB (470 words) - 18:47, 30 July 2019
• Algebra of generalized functions
  be the space of complex-valued functions, including the necessary generalized functions, complex conjugation for ordinary functions and commutes with differentiation.<br>
  38 KB (6,232 words) - 18:46, 30 July 2019
• Iterate of exponential
  ...ve can be used for non-integer \(n\). The exponential can be iterated even complex number of times. ...ion [[tet]] and [[ate]] defines the \(n\)th iterate of exponential for any complex number \(n\) of iterations.
  7 KB (1,161 words) - 18:43, 30 July 2019
• Superfunctions
  [[Complex map]]: truncated Taylor expansion of abelsine [[AuSin]], Fig.22.2</p></cent At the front cover, the [[complex map]] of [[natural tetration]] is shown.
  15 KB (2,166 words) - 20:33, 16 July 2023
• Morias
  [[File:Moriaamap1.jpg|300px|thumb|Overlaping of the two maps above]] [[Complex map]] of function [[mori]] is shown in the top figure with
  3 KB (456 words) - 18:44, 30 July 2019
• Arcsin.cin
  ...mplex double]] routine in [[C++]] for evaluation of function [[ArcSin]] of complex argument. ...ome reason, the compiler recognises [[exp]], [[log]], [[sin]], [[cos]], of complex argument, but fails with asin and acos.
  4 KB (488 words) - 06:58, 1 December 2018
• ArqNem
  ==Complex maps== Complex maps of function \(\mathrm{ArqNem}_q(z)\) is shown in figures at right for
  7 KB (1,319 words) - 18:46, 30 July 2019
• AuNem
  For \(q\!=\!0\), \(q\!=\!1\) and \(q\!=\!2\), [[complex map]] of function \(\mathrm{AuNem}_q\) is shown in figures 2,3,4. ==Extension to the whole complex plane==
  9 KB (1,441 words) - 18:45, 30 July 2019
• Base e1e
  [[File:Expe1emapT1000.jpg|200px|thumb|[[Complex map|Map]] of \(~f\!=\!\eta\!=\!\exp_{\exp(1/\mathrm e)}~\); here \(~u+\math [[File:Loge1emapT1000.jpg|200px|thumb|[[Complex map|Map]] of \(~f\!=\!\log_{\exp(1/\mathrm e)}~\); here \(~u+\mathrm i v=f(
  4 KB (559 words) - 17:10, 10 August 2020
• Maga
  ...n, the holomorphic properties of the functions involved (and their complex maps) should be analysed. ...tation indicates the way of holomorphic extension of function [[maga]] for complex values of the argument \(z\); the appropriate paths of integration should b
  8 KB (1,256 words) - 18:44, 30 July 2019
• Nemtsov function
  [[Complex map]] of \(\mathrm{Nem}_q\) is shown in figure 2 for \(q\!=\!0\) and in fig ...ive real parameter. Then, Nemtsov Function \(\mathrm{Nem}\) is defined for complex argument \(z\) as follows:
  14 KB (2,157 words) - 18:44, 30 July 2019
• StraRo
  For \(q\!=\!0.5\), \(q\!=\!1\) and \(q\!=\!2\), the complex maps of function \(\mathrm{StraR}_q\) are shown in figures 2,3,4: Then, evaluation of \(\mathrm{StraRo}_q(z)\) for complex \(z\) can be performed with the short code below:
  4 KB (646 words) - 18:47, 30 July 2019
• SuSin
  [[Complex map]] of \(~f=\mathrm{SuSin}(x\!+\!\mathrm i y)~ ~\) is shown at right with ...ro; the cut line along the negative part of the real axis is marked at the complex map. Then,
  15 KB (2,314 words) - 18:48, 30 July 2019
• Alien in a foreign sea 1
  ...the island of Katav, there is a university and a campus - an architectural complex resembling a cluster of frozen bubbles of a mud geyser (the analogy is corr ...sius, so that the balcony is the second living-room). The "REF-Nido Cereb" complex is financed by one of the largest mega-state public investment funds "Hawai
  367 KB (65,743 words) - 15:48, 1 February 2019
• Nemtsov function and its iterates
  The Superfunction, Abelfunction and iterates \(\mathrm{Nem}_q^n\) for complex \(n\) are constructed. G. Szekeres. Regular iteration of real and complex functions. Acta Mathematica, September 1958, Volume 100, Issue 3, pp 203-25
  15 KB (2,392 words) - 11:05, 20 July 2020
• Hellmuth Kneser
  BRIAN LEHMANN AND JIAN XIAO. CORRESPONDENCES BETWEEN CONVEX GEOMETRY AND COMPLEX GEOMETRY. (2019) [[Complex map]]
  12 KB (1,732 words) - 14:01, 12 August 2020
• Map
  ==[[Complex map]]== In TORI, the [[complex map]]s are used to illustrate [[holomorphic function]]s.
  2 KB (222 words) - 16:00, 28 May 2021

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