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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
  • 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
  • Linear fuction
    where \(A\) and \(B\) are constants (for example some complex numbers) ...r. As other holomophic functions, the linear function can be iterated even complex number of times.
    2 KB (234 words) - 18:43, 30 July 2019
  • Ackermann function
    For given complex number \(b\), called "base", and given integer number \(n\), called "number ...this case is easier to interpret and to apply in physics, than cases with complex \(b\).
    10 KB (1,534 words) - 06:44, 20 July 2020
  • Amos
    Below the complex map of function [[Amos]] is shown with lines of its content real part and l ...necessary for [[summation of the asymptotic series]], the extension to the complex plane is essential. For this reason, the special name is required for the h
    6 KB (883 words) - 18:44, 30 July 2019
  • 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. Coefficients \(c\) can be found from the asymptotic analysis of equaiton \(\mathrm{SuNe}_q(\mathrm{AuNe}(z))=0\).
    9 KB (1,441 words) - 18:45, 30 July 2019
  • AuSin
    ...n of the expansion to the Abel equation and the straightforward asymptotic analysis. ...nt of this implementation with that of function [[SuSin]] is seen from the complex map of function
    5 KB (761 words) - 18:48, 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 \(~u+\mathrm i v=f(
    4 KB (559 words) - 17:10, 10 August 2020
  • Kori
    Explicit plot and [[complex map]] of function [[kori]] are shown in figures at right. Kori is [[entire function]], it is holomorphic in the whole complex plane. The zero in the denominator in the definition is compensated with th
    14 KB (1,943 words) - 18:48, 30 July 2019
  • Lof
    ...\big(\)[[Factorial]]\((z)\big)~\) , that is holomorphic in the most of the complex \(z\) plane (except \(z\!\le\!-1\)). [[Complex map]] of function [[lof]] is shown in figure at right with lines \(u\!+\!\m
    3 KB (478 words) - 18:43, 30 July 2019
  • Maga
    ...st option, 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
  • Mathematics of Computation
    numerical analysis, computational discrete mathematics, number theory, algebra, combinatorics, D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation, v.78 (2009), 1647-1670.
    2 KB (344 words) - 07:02, 1 December 2018
  • Morinaga function
    Below, the [[complex map]] of the [[Morinaga function]] is compared to that of function [[Bessel ...errors limit the range of applicability of this expansion. With double (or complex double) variables, with \(M\!=\!16\) , while last term with coefficient \(c
    15 KB (2,303 words) - 18:47, 30 July 2019
  • Naga
    For complex \(p\), expression ...cation mentioned above refers only to the real values of the argument. The analysis of the holomorphic properties of the functions involved is supposed to reve
    5 KB (750 words) - 10:00, 20 July 2020
  • NemBran
    ...[Nemtsov function]] \(\mathrm{Nem}_q\) versus parameter \(q\). While, only analysis for the real \(q\) is presented. For real \(q\) function \(\mathrm{Nem}_q\) ...ns should be implemented in the most of the complex plane, id est, for the complex argument.
    3 KB (400 words) - 18:48, 30 July 2019
  • Alien in a foreign sea 1
    - I was not focused on financial analysis, - Riven said. ...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
    367 KB (65,743 words) - 15:48, 1 February 2019
  • Meganesia.Deportation
    This makes the analysis of his texts difficult. For this reason, for the analysis, the English version is more suitable; the English characters are easy to i
    143 KB (24,042 words) - 12:47, 3 April 2021
  • 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
  • Mystic weakness
    The «[[Mystic weakness]]» is important for the analysis of historic events ...re was a real threat that a lot of serious guys in the military-industrial complex would be removed from the feeder. In the face of this obvious threat, the a
    24 KB (2,765 words) - 11:40, 8 March 2024
  • Hellmuth Kneser
    ...s involving Dirichlet energies and the surface measure, we perform a local analysis of strictly convex portions of the boundary via second order shape derivati BRIAN LEHMANN AND JIAN XIAO. CORRESPONDENCES BETWEEN CONVEX GEOMETRY AND COMPLEX GEOMETRY. (2019)
    12 KB (1,732 words) - 14:01, 12 August 2020
  • COVID-19 not Bioengineered
    ...a guy is someone’s father, but scientists can use more advanced genetic analysis to figure out the origins, the “family tree” of SARS-CoV2.
    11 KB (1,207 words) - 21:47, 31 March 2020
  • 1961.ProgramKPSS
    the correctness of the Marxist-Leninist analysis of capitalism and its highest stage, imperialism, given in the first this analysis are also given below in the present Programme. <!--
    287 KB (44,593 words) - 02:17, 10 July 2020
  • Will the Soviet Union Survive until 1984
    ...of its supporters is the social composition of the movement. The following analysis is based on a representative sample: those who protested against the trial This, too, becomes apparent from an analysis of the authors and signers of the various protests and petitions against th
    73 KB (12,262 words) - 23:38, 4 July 2020
  • Place of science
    ...can Civil Religion? Journal article by James A. Mathisen; SA. Sociological Analysis, 50 1989, pp. 129-146. Published: 01 July 1989 J.-F.Bisson, D.Kouznetsov. Comments on "Study of the Complex Atomic Susceptibility of Erbium-Doped Fiber Ampli ers" Journal of Lightwave
    101 KB (14,271 words) - 20:58, 25 September 2020
  • Theorem on increment of tetration
    ...009analuxpRepri.pdf D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. [[Mathematics of Computation]], v.78 (2009), 1647-1670. ...-1 [[William Paulsen]] and [[Samuel Cowgill]]. Solving F(z+1)=bF(z) in the complex plane. Advances in Computational Mathematics, 2017 March 7, p. 1–22
    4 KB (548 words) - 14:27, 12 August 2020
  • 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
    101 KB (14,846 words) - 00:35, 21 March 2023
  • Precision
    is performed using the complex double arithmetics. In such a calculus, the internal rounding error of eval ...ed with precision \(P=14\) that is close to the maximal achievable for the complex double variables.
    10 KB (1,491 words) - 18:09, 11 June 2022
  • Jankoy airbase
    Neither evidences collected in the cited literature not the analysis appeal to the physical elimination of ...the ability to accept and release aircraft of all classes day and night in complex meteorological conditions.[1]
    12 KB (966 words) - 01:01, 19 August 2022
  • 1941.01.30.HitlerSpeech
    ...members of the League, and later German participation amounted in the last analysis to nothing but the payments of yearly installments. That was the only posit ...other world, or do the English perhaps believe that we have an inferiority complex when we compare ourselves with them. (Several words drowned in applause.)
    62 KB (10,485 words) - 10:03, 27 August 2022
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