Search results

Create the page "Asymptotic expansion" on this wiki! See also the search results found.

• SuZex approximation
  ==Taylor expansion at zero== [[File:SuZexoMapJPG.jpg|600px|thumb|Fig.4. Map od the Asymptotic approximation \(Q_{20}~\) by equation (\(~\)); \(~u\!+\!\mathrm i v= Q_{20
  14 KB (2,037 words) - 18:25, 30 July 2019
• AuZex
  ...along the real axis. For this reason, namely this fixed point is chosen as asymptotic value of [[SuZex]] at minus infinity. Correspondently, its inverse function ...expansion of the [[Abel function]]. For the transfer function [[zex]], the expansion of the Abel function begins with minus first power and logarithmic terms:
  6 KB (899 words) - 18:44, 30 July 2019
• Power function
  and the asymptotic analysis. For \(a_1\!=\!1\), these coefficients can be calculated with the This code confirms, that the primary expansion is just truncated series go expansion of exponent in the exact [[superfunction]] [[SuPow]]
  15 KB (2,495 words) - 18:43, 30 July 2019
• Zooming equation
  ==Asymptotic expansion== ...\(g\) are not known, these \(f\) and \(g\) can be constructed thrush their asymptotic expansions at small values of the argument. Assuming that \(T\) is regular
  10 KB (1,627 words) - 18:26, 30 July 2019
• Regular iterate
  ...sion of the [[Abel function]] \(G\) in vicinity of \(L\) and corresponding expansion of the [[superfunction]] \(F=G^{-1}\), ...ument of the [[superfunction]] to the range of values where the asymptotic expansion provides the required precision.
  1 KB (178 words) - 06:42, 20 July 2020
• SuTra
  D.Kouznetsov. Entire Function with Logarithmic Asymptotic. ...(z)|>\varepsilon\), \( |z| \rightarrow \infty\), [[SuTra]] has logarithmic asymptotic behavior
  9 KB (1,285 words) - 18:25, 30 July 2019
• ArcTra
  However the independent implementation of ArcTra can be arranged using its asymptotic properties. ==Expansion at unity==
  10 KB (1,442 words) - 18:47, 30 July 2019
• AuTra
  ==Asymptotic expansion== The asymptotic expansion for AuTra for large negative values of the argument can be obtained, invert
  6 KB (1,009 words) - 18:48, 30 July 2019
• Nori
  ==Expansion at zero== if evaluated with complex double variables, the first 24 terms of this expansion provide of order of 15 correct decimal digits for \(|z|<8\).
  13 KB (1,759 words) - 18:45, 30 July 2019
• Superfunctions
  [[Complex map]]: truncated Taylor expansion of abelsine [[AuSin]], Fig.22.2</p></center></small> D.Kouznetsov. Entire function with logarithmic asymptotic. Applied Mathematical Sciences, 2013, v.7, No.131, p.6527-6541.
  15 KB (2,166 words) - 20:33, 16 July 2023
• Morias
  [[morias]] is asymptotic approximation of function [[mori]] at large values of its argument. The coefficients \(f\) and \(g\) can be calculated from the asymptotic expansion of the [[Hankel function]];
  3 KB (456 words) - 18:44, 30 July 2019
• Amos
  ...cplot.jpg|256px|thumb|\(y\!=\!\mathrm{Amos}(x)\), black curve, and two its asymptotic approximaitons]] For comparison, the two its asymptotic approximations are also plotted with coloured curves.
  6 KB (883 words) - 18:44, 30 July 2019
• AuNem
  ==Asymptotic behaviour of [[AuNem]]== ...ative values of the real part of the argument. Inverting the corresponding expansion for [[SuNem]], the asymptic can be written as follows. For some positive in
  9 KB (1,441 words) - 18:45, 30 July 2019
• AuSin
  ==Expansion at \(\pi/2\)== Expansion at \(\pi/2\) has the following form:
  5 KB (761 words) - 18:48, 30 July 2019
• Base e1e
  For the base \(b=\eta=\exp(1/\mathrm e)\), the asymptotic expansion of the superexponential can be written in the following form: and performing the asymptotic analysis at large \(|z|\).
  4 KB (559 words) - 17:10, 10 August 2020
• Exotic iteration
  ...ase, the [[Regular iteration]] is not possible: in the leading term of the expansion of superfunction with exponentials, the increment \(k\!=\!\ln(T'(L)\) becom ...ents, that may (and should) depend on the coefficients \(b\), \(c\), .. of expansion of the transfer function \(T\) at zero.
  11 KB (1,715 words) - 18:44, 30 July 2019
• Kneser expansion
  [[Kneser expansion]] is asymptotic representation of superexponential constructed at its fixed point. [[Category:Kneser expansion]]
  2 KB (325 words) - 22:50, 15 August 2020
• Kori
  ==Expansion at zero== In particular, the expansion at zero can be written as follows:
  14 KB (1,943 words) - 18:48, 30 July 2019
• Korias
  [[korias]] is asymptotic approximation of function [[kori]]. At large values of the argument, \(|z|\gg 1\), the asymptotic approximation appears as [[korias]] defined with
  2 KB (328 words) - 10:27, 20 July 2020
• Lesson of quantum topology
  ...per subgroup of the Poincare group. .. COROLLARY 5: the zeroth term of the expansion has sense of the metrics. Its average value can be interpreted as curvature
  4 KB (696 words) - 07:02, 1 December 2018

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)