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  • ...g|500px]]<small> Explicit plot of real and imaginary parts of tetration to base \(b\!=\!s\)</small> ...Sheldon base]] refers to the specific case of [[tetration]] to the complex base \(b=s\), where
    5 KB (707 words) - 21:33, 13 July 2020

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  • [[Tetration]] (or Tetrational) \({\rm tet}_b\) to base \(b \in \mathbb R\), \(b\!>1\)<br> ...tions above, \(\mathrm{tet}_b\) is [[superfunction]] of [[exponential]] to base \(b\). Exponential is [[transfer function]] of tetration.
    21 KB (3,175 words) - 23:37, 2 May 2021
  • ...g|500px]]<small> Explicit plot of real and imaginary parts of tetration to base \(b\!=\!s\)</small> ...Sheldon base]] refers to the specific case of [[tetration]] to the complex base \(b=s\), where
    5 KB (707 words) - 21:33, 13 July 2020
  • The Iterated Cauchi is used to evaluate the [[tetration]] to base \(b=\mathrm e\approx 2.71~\) ...ImaT.png|500px|right|thumb|First iterations for the [[Tetration to Sheldon base]]; \(f=f(x)\) versus \(x\) ]]
    6 KB (987 words) - 10:20, 20 July 2020
  • File:TetSheldonImaT.png
    Few iterations at the [[Iterated Cauchi]] for the [[Tetration to Sheldon base]]. where $s$ is the [[Sheldon number]].
    (4,359 × 980 (598 KB)) - 09:40, 21 June 2013
  • File:Tetsheldonmap03.png
    [[Complex map]] of [[tetration to Sheldon base]] [[Category:Tetration to Sheldon base]]
    (2,549 × 702 (982 KB)) - 08:53, 1 December 2018
  • File:TetSheldonTestImaT.png
    Test of the evaluation of the [[tetration to Sheldon base]] [[Category:Tetration to Sheldon base]]
    (4,318 × 980 (322 KB)) - 08:53, 1 December 2018
  • [[File:Ack3a600.jpg|400px|thumb|Base \(b=\sqrt{2}\approx 1.41\)]] [[File:Ack3b600.jpg|400px|thumb|Henryk base, \(b=\exp(1/\mathrm e)\approx 1.44\)]]
    5 KB (761 words) - 12:00, 21 July 2020
  • File:Ack4c.jpg
    [[Complex map]] of [[tetration to Sheldon base]] $b\!=\! \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font
    (5,130 × 1,760 (1.92 MB)) - 08:28, 1 December 2018
  • File:Shelima600.png
    Explicit plot of real and imaginary part of [[tetration to Sheldon base]] of imaginary argument. [[Category:Tetration to Sheldon base]]
    (1,693 × 531 (83 KB)) - 08:51, 1 December 2018
  • File:Shelr80.png
    Explicit plot of [[tetration to Sheldon base]] for real values of the argument. Sheldon vase is defined with
    (1,563 × 1,454 (237 KB)) - 08:51, 1 December 2018
  • File:Shelre60.png
    Explicit plot of [[tetration to Sheldon base]] for real values of the argument. [[Sheldon Levenstein]] has suggested this number, but he did not provide any way of e
    (1,172 × 1,090 (142 KB)) - 08:51, 1 December 2018
  • File:TetsheldonmapT600.jpg
    [[Complex map]] of [[Tetration]] to the [[Sheldon base]] $b= 1.52598338517 + 0.0178411853321\, \mathrm i$. Constants $L_1$ and $L_2$ are [[fixed point]]s of logarithm to base $b$; they are determined (and evaluated) through function [[filog]]:
    (5,130 × 1,776 (1.02 MB)) - 08:54, 1 December 2018
  • File:Tetsheldonzoo.jpg
    [[Complex map]] of [[tetration to Sheldon base]], zoom-in from the central part of figure [[Category:Tetration to Sheldon base]]
    (4,337 × 4,317 (1.73 MB)) - 08:54, 1 December 2018
  • // [[TetSheldonIma.inc]] is file of values of the [[Tetration to Sheldon base]] along a line in the direction of the imaginary axis, calculated with the // [[Category:C++]] [[Category:Tetration]] [[Category:Tetration to Sheldon base]]
    98 KB (5,162 words) - 07:06, 1 December 2018
  • We say that the base \(b\) is in the [[Shell-Thron region]] if the sequence of values We say that the base \(b\) is in the [[Shell-Thron region]] if the sequence of values
    7 KB (1,082 words) - 07:03, 13 July 2020