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• Tetration
  ...d that \({\rm tet}_b(z^*)={\rm tet}_b(z)^*\), where the asterisk means the complex conjugation. For the case of base \(b \!=\! \mathrm e\), the index may be o Case of complex values of \(b\) is under investigation; conditions, that make the solution
  21 KB (3,175 words) - 23:37, 2 May 2021
• Tetre2215.cc
  // The numerical implementation of the complex tet(complex,complex) <br> // but for the serious numerial analysis the number of terms in the expansion should be increased;<br>
  6 KB (1,030 words) - 18:48, 30 July 2019
• Superfunction
  ...e superfunctions are related with various extensions of superfunction; and analysis of the existence, uniqueness and ways of the evaluation. Analysis of superfunctions came from the application to the evaluation of fractional
  25 KB (3,622 words) - 08:35, 3 May 2021
• Place of science in the human knowledge
  ...ican Civil Religion? Journal article by James A.Mathisen; SA. Sociological Analysis, 50 1989, pp. 129-146. Published: 01 July 1989<br> ...official” scientific (and not so scientific) concepts. The goal is the analysis of the historical events and elaboration of the adequate (non-ambiguous) te
  100 KB (14,715 words) - 16:21, 31 October 2021
• Место науки в человеческом знании
  [[Complex map]] of function [[AuSin]]</small> !--> ...n Civil Religion? Journal article by James A. Mathisen; SA. [[Sociological Analysis]], <b> 50</b> 129-146 (1989).
  111 KB (2,581 words) - 16:54, 17 June 2020
• Square root of factorial
  [[Image:QFactorialQexp.jpg|600px|thumb| [[Complex map]] of <math>\sqrt{!}</math>, left, compared to that of <math>\sqrt{\exp} that gave the hint to the evaluation of any, even the non-integer (and even complex) [[iteration]] of almost every [[holomorphic function]].
  13 KB (1,766 words) - 18:43, 30 July 2019
• Regular Iteration
  ...l axis superexponential. (However, the last choice may be not good for the analysis of the dependence of the resulting growing superexponential on value of the ...xed point]] of the transfer function) either in the right hand side of the complex plane, or in the left hand side. In the opposite direction, the superfuncti
  20 KB (3,010 words) - 18:11, 11 June 2022
• Vladimir Putin
  ...tion fraud in favor of Putin and his party is confirmed by the statistical analysis of the officially reported results<ref name="spilkin"> ...Four-fifths of Russia's Syria strikes don't target Islamic State: Reuters analysis.
  67 KB (6,891 words) - 18:44, 30 July 2019
• Yulya function
  At \(x\!+\!a>1\), the function has complex values; at the figure this range is shaded. ...function, it may have sense to consider it as holomorphic function of the complex argument.
  12 KB (1,754 words) - 18:25, 30 July 2019
• Iterated integral
  ...ple case of natural \(n\) can be generalized for integer rational and even complex values of \(n\); such a generalization is allows to deal with derivatives of arbitrary (negative, fractal and even complex order.
  9 KB (1,321 words) - 18:26, 30 July 2019
• Cosc
  [[File:CoscmapT100.png|800px|right|thumb|[[Complex map]] of [[cosc]], \(u+\mathrm i v = \mathrm{cosc}(x+\mathrm i y)\) ]] ==Complex map of [[cosc]]==
  4 KB (649 words) - 18:26, 30 July 2019
• Absorbing Schroedinger
  ==Modal analysis== Substitution of (25) into (24) gives the equations for the complex parameters \(p\) and \(q\):
  15 KB (2,070 words) - 18:47, 30 July 2019
• BesselJ0
  [[Complex map]] of function BesselJ0 is shown in figure at right. The short notation The series converges in the whole complex plane and, at the complex(double) arithmetics, gives of order of dozen significant figures at least f
  6 KB (913 words) - 18:25, 30 July 2019
• BesselH0
  Below, the [[complex map]] of \(H_0\) is plotted, \(u+\mathrm i v=H_0(x+\mathrm i y)\). Some expansions of square of [[BesselH0]] look counter-intuitive and require analysis.
  4 KB (509 words) - 18:26, 30 July 2019
• Serega function
  '''Serega function''' is nongolomorphic function \(\mathrm{Serega}\) of complex variable \(z\) such that where the asterisk means the [[complex conjugation]].
  5 KB (674 words) - 18:25, 30 July 2019
• Shoko function
  For the analysis of the Keller function, another superfunction, namely, [[Shoka function]] h The [[complex map]] of the [[Shoko function]] is shown in figure at right.
  10 KB (1,507 words) - 18:25, 30 July 2019
• Power function
  [[Complex map]] of the quadratic function (\(a\!=\!2\)) is shown in figure 2 at right ...may be some problems while one of arguments are integer and another one is complex. In some programming languages, including [[Mathematica]], [[Maple]], [[Mat
  15 KB (2,495 words) - 18:43, 30 July 2019
• Schroeder equation
  [[Journal of thermal analysis and Calorimetry]], v.91,(2008), p.569-573 In this expression, \(~n~\) can be interpreted as any [[complex number]]. Then, for given \(~f~\), \(~g~\) and \(~s~\), equation (9) provid
  8 KB (1,239 words) - 11:32, 20 July 2020
• Nori
  Complex map of function nori is shown at rites with levels \(u=\mathrm{const}\) and if evaluated with complex double variables, the first 24 terms of this expansion provide of order of
  13 KB (1,759 words) - 18:45, 30 July 2019
• Mandelbrot polynomial
  whrere \(c\) is parameter. Usially, it is assumed to be a [[complex number]]. ...be integer; the [[Mandelbrot polynomial]] can be iterated arbitrary (even complex) number of times.
  2 KB (229 words) - 18:44, 30 July 2019

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