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  • File:Ack4d.jpg
    [[Complex map]] of [[tetration]] to base 10. $u+\mathrm i v=\mathrm{tet}_{10}(x\!+\!\mathrm i y)$
    (1,282 × 440 (266 KB)) - 08:28, 1 December 2018
  • File:Ack4dFragment.jpg
    [[Complex map]] of [[tetration]] to base 10. $u+\mathrm i v=\mathrm{tet}_{10}(x\!+\!\mathrm i y)$
    (3,457 × 1,776 (1.4 MB)) - 08:28, 1 December 2018
  • File:Analuxp01t400.jpg
    This corresponds to the displacement of the map for unity to the right, along the real axis. In this case, it is easier to guess the asymptotic behaviour of the function (last picture, d) from its p
    (2,083 × 3,011 (1.67 MB)) - 08:29, 1 December 2018
  • File:E1eAuMap600.jpg
    [[Complex map]]s of the [[abel function]] of the [[exponent]] to the [[Henryk base]] fprintf(o,"101 151 translate\n 10 10 scale\n");
    (3,543 × 5,338 (1.57 MB)) - 08:34, 1 December 2018
  • File:E1eghalfm3.jpg
    [[Complex map]] of upper half iterate of exponential to base $\eta=\exp(1/\mathrm e)$ ...ppmann, D.Kouznetsov. Computation of the Two Regular Super-Exponentials to base exp(1/e). [[Mathematics of Computation]], v.81 (2012), p. 2207-2227.
    (1,750 × 1,341 (1.24 MB)) - 08:34, 1 December 2018
  • File:E1eSuMap600.jpg
    [[Complex map]]s of two superexponentials to the [[Henryk base]] for [[tetration]] $F\!=\! \mathrm{tet}_\eta$
    (3,377 × 5,055 (1.37 MB)) - 08:34, 1 December 2018
  • File:E1etetma8.jpg
    [[Complex map]] of [[tetration]] to [[base e1e]] [[Tetration]] $F=\mathrm{tet}_{\eta}$ is real-holomorphic solution of equation
    (4,472 × 3,320 (1.69 MB)) - 08:34, 1 December 2018
  • File:E1eti4.jpg
    [[Complex map]] of [[arctetration]] to [[base e1e]], $\eta=\exp(1/\mathrm e)$ fprintf(o,"101 151 translate\n 10 10 scale\n");
    (2,236 × 1,660 (1.02 MB)) - 08:34, 1 December 2018
  • File:Shelima600.png
    Explicit plot of real and imaginary part of [[tetration to Sheldon base]] of imaginary argument. -10.00 2.2202212609 -1.3393771522
    (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. For comparison, the black line shows the graphic for real base $b=1.5$, id est, $y=\mathrm{tet}_{1.5}(x)$
    (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. should be loaded in order to compile the code below:
    (1,172 × 1,090 (142 KB)) - 08:51, 1 December 2018
  • File:Sqrt27u.png
    ...k of the approximate symmetry of the [[explicit plot]] of [[tetration]] to base $\sqrt{2}$ in figure http://mizugadro.mydns.jp/t/index.php/File:Sqrt27t.jpg http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html <br>
    (856 × 507 (50 KB)) - 08:52, 1 December 2018
  • File:Sqrt2atemap.jpg
    [[Complex map]] of [[arctetration]] to base $\sqrt{2}$: http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html <br>
    (1,758 × 1,741 (723 KB)) - 08:52, 1 December 2018
  • File:Sqrt2diimap80.jpg
    [[Complex map]] of iterate number i of exponent to base $\sqrt{2}$ constructed at its lower ("down") fixed point 2: http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html <br>
    (2,302 × 2,306 (1.27 MB)) - 08:52, 1 December 2018
  • File:Sqrt2eitet.jpg
    [[iterate]]s of the [[esponent]] to base $\sqrt{2}$, constructed with [[tetration]] and [[arctetration]] to thie base.
    (3,051 × 3,022 (1.36 MB)) - 08:52, 1 December 2018
  • File:Sqrt2q2map600.jpg
    [[Complex map]] of the half iterate of exponent to base $\sqrt{2}$ regular at its lowest fixed point. This function is expressed through [[tetration]] and [[arctetration]] to base $\sqrt{2}$:
    (1,766 × 1,750 (1.43 MB)) - 08:52, 1 December 2018
  • File:Sqrt2srav.png
    Comparison or two half iterate of exponent to base \( \sqrt{2} \) constructed at fixed point 2 and at fixed point 4. scaled with factor \(10^{24} \).
    (2,532 × 1,639 (263 KB)) - 10:53, 24 June 2020
  • File:Sqrt2sufuplot.png
    Four superexponentials to base \(b=\sqrt{2}\) scaled with factor \(10^{24} \) is shown with violet sinusoidal bell.
    (3,520 × 2,507 (408 KB)) - 10:11, 10 June 2022
  • File:Sqrt2tetatemap.jpg
    for the [[tetration]] and [[arctetration]] to base $\sqrt{2}$
    (1,758 × 1,741 (1,008 KB)) - 08:52, 1 December 2018
  • File:Sqrt2tetmap.jpg
    [[Complex map]] of [[tetration]] to base $\sqrt{2}$: http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html <br>
    (1,758 × 1,741 (656 KB)) - 08:52, 1 December 2018

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