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Create the page "Tetration to base 10" on this wiki! See also the search results found.

• Tetration
  Natural [[tetration]] (dashed) and other [[Ackermann function|ackermanns]] [[Tetration]] (or Tetrational) \({\rm tet}_b\) to base \(b \in \mathbb R\), \(b\!>1\)<br>
  21 KB (3,175 words) - 23:37, 2 May 2021
• Regular Iteration
  '''Regular Iteration''' or '''regular iterate''' refer to the [[fractional iterate]] a holomorphic function that is holomorphic in vi ...d the fractional iterates, regular at different fixed points, have no need to coincide <ref name="sqrt2">
  20 KB (3,010 words) - 18:11, 11 June 2022
• Transfer function
  ...ansfer equation]], the [[Abel equation]]; the transfer function is assumed to be given function that appear in these equations. The solutions of these eq ...r a given transfer function, the additional restrictions should be applied to make the [[superfunction]] and the [[Abel function]] unique
  11 KB (1,644 words) - 06:33, 20 July 2020
• B271az.cc
  // showing the [[complex map]] of [[ArcTetration]] to base e. fprintf(o,"46 45 translate\n 10 10 scale\n");
  3 KB (529 words) - 14:32, 20 June 2013
• Tania function
  ...aniaT.png|350px|right|thumb| Comparison of [[Tania function]] (thin curve) to the [[Shoka function]] (thick curve) for real values of the argument]] ...maginary axis and then along the straight line (parallel to the real axis) to the point \(z\).
  27 KB (4,071 words) - 18:29, 16 July 2020
• Doya function
  ...for comparison of superfunctions \(F\) for various cases, it is convenient to keep relation \(F(0)=1\) (as it is accepted for [[tetration]], which is [[superfunction]] of [[exponential]]); for this reason, the [[T
  19 KB (2,778 words) - 10:05, 1 May 2021
• Table of superfunctions
  is called [[superfunction]] with respect to \(T\). ...se function, id est, \(G=F^{-1}\) is called [[Abel function]] with respect to \(T\); it satisfies the [[Abel equation]]
  11 KB (1,565 words) - 18:26, 30 July 2019
• Iteration
  The zeroth iteration of any non-trivial function is supposed to be [[Identity function]]. Similar notations, where the superscript is used to indicate the number of iterate is used also in [[quantum mechanics]] and th
  14 KB (2,203 words) - 06:36, 20 July 2020
• Natural tetration
  \(\mathrm{tet}(x),\mathrm e^x,10(\mathrm{tet}(x)-(x\!+\!1))\) [[Natural tetration]] is [[tetration]] to base \(\mathrm e=\exp(1)\approx 1.71~\).
  14 KB (1,972 words) - 02:22, 27 June 2020
• Tetration to Sheldon base
  ...g|500px]]<small> Explicit plot of real and imaginary parts of tetration to base \(b\!=\!s\)</small> [[File:Shelima600.png|500px]]<small>Distribution of tetration to \(b\!=\!s\) along the imaginary axis</small>
  5 KB (707 words) - 21:33, 13 July 2020
• Iterated Cauchi
  The specific choice of the contour allows to express values f(t) through the left hans side of (9) with the Transfer equ A. integration along the line \(\Re(t)=1\) from \(t = 1−\mathrm i A\) to \(t = 1+\mathrm i A\),<br>
  6 KB (987 words) - 10:20, 20 July 2020
• SuZex approximation
  ...imations of [[SuZex]] with elementary functions. All the maps are supposed to be displayed in the same scale. Also, it is assumed that the solution \(F=\mathrm{SuZex}\) decays to the stationary point 0 of the transfer function \(T\) by (1) at infinity, e
  14 KB (2,037 words) - 18:25, 30 July 2019
• F2048ten.inc
  ...[[F2048ten.inc]] defines the approximations of [[tetration]] to base \(b=10\) along the imaginary axis at the interval (-20,20) in 2048 nodes of the qu // perhaps, Aten=20, and NPO =2048; NPO is supposed to be defined in GLxw.
  89 KB (7,127 words) - 18:46, 30 July 2019
• F4ten.cin
  ...rking directory) and the [[Transfer equation]] for the exponential to base 10 as [[transfer function]]. DB Lten=log(10.);
  2 KB (287 words) - 15:03, 20 June 2013

• File:B271t.png [[Complex map]] of tetration to base $\mathrm e$, isolines of real and imaginary parts of $v\!=\!\Im(f)\!=\!\mathrm {const}$ are plotted; integer values correspond to the thick lines. (1,609 × 1,417 (791 KB)) - 08:30, 1 December 2018

• File:B271t3T.png [[Complex map]] of [[tetration]] to base $\mathrm e\approx 2.71$ ...cin]] and [[conto.cin]] should be loaded to the working directory in order to compile the [[C++]] code below (1,742 × 1,726 (1,007 KB)) - 08:30, 1 December 2018

• File:E1efig09abc1a150.png [[Complex map]]s of [[tetration]] $\mathrm{tet}_b$ to base<br> This image is close to the figure 9 in the article (2,234 × 711 (883 KB)) - 08:34, 1 December 2018

• File:ExpQ2mapT.png [[Complex map]] of [[exponential]] to [[base sqrt2]], id est, $b=\sqrt{2}$; ...the illustration of the application of the method of [[regular iteration]] to construct the [[superfunction]] (1,765 × 1,729 (1.15 MB)) - 08:35, 1 December 2018

• File:Filogbigmap100.png $\mathrm{Filog}(z)$ expresses the [[fixed point]] of [[logarithm]] to base $b\!=\!\exp(z)$. Another fixed point to the same base can be expressed with (2,870 × 2,851 (847 KB)) - 08:36, 1 December 2018

• File:Filogmap300.png $\mathrm{Filog}(z)$ expresses the [[fixed point]] of [[logarithm]] to base $b\!=\!\exp(z)$. Another fixed point to the same base can be expressed with (893 × 897 (292 KB)) - 09:40, 21 June 2013

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