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File:B271a.png [[Complex map]] of [[ArcTetration]] to base $\mathrm e \approx 2.71~$: ...nchpoints $L\!\approx \! 0.2+1.3 \mathrm i$ and $L^*$ are [[fixed point]]s of [[logarithm]].(1,609 × 1,417 (506 KB)) - 08:30, 1 December 2018File:B271t.png ...p]] of tetration to base $\mathrm e$, isolines of real and imaginary parts of ==C++ generator of curves==(1,609 × 1,417 (791 KB)) - 08:30, 1 December 2018File:E1efig09abc1a150.png [[Complex map]]s of [[tetration]] $\mathrm{tet}_b$ to base<br> ...on of the Two Regular Super-Exponentials to base exp(1/e). (Mathematics of Computation, 2011, in press)(2,234 × 711 (883 KB)) - 08:34, 1 December 2018File:Esqrt2iterMapT.png [[Complex map]] of 1/3 th iteration of the [[exponential]] to [[base sqrt(2)]]. ...ait of the four regular super-exponentials to base sqrt(2). Mathematics of Computation, v.271, July 2010, p.1727-1756.</ref>,(1,092 × 1,080 (1.36 MB)) - 09:43, 21 June 2013File:ExpQ2mapT.png [[Complex map]] of [[exponential]] to [[base sqrt2]], id est, $b=\sqrt{2}$; ...ion to base sqrt(2)]] in 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 2018File:ExpQ2plotT.png [[Explicit plot]] of [[exponential]] to base $b\!=\!\sqrt{2} \approx 1.414213562373095$ The [[fixed point]]s $L\!=\!2$ and $L\!=\!4$ are solutions of the equation(2,512 × 1,744 (175 KB)) - 08:35, 1 December 2018File:Filogbigmap100.png [[File:Filogmap300.png|right|300px|thumb|The zoom-in of the central part of the map]] [[Complex map]] of function [[Filog]].(2,870 × 2,851 (847 KB)) - 08:36, 1 December 2018File:Filogmap300.png [[Complex map]] of function [[Filog]]. ==Semantics of Filog==(893 × 897 (292 KB)) - 09:40, 21 June 2013File:IterEq2plotU.png ...f [[exponential]] to [[base sqrt(2)]] for various values of the number $c$ of iterations. ...ion, the plotter uses the implementation through the [[superfunction]] $F$ of the exponential to base $\sqrt{2}$, constructed at the fixed point $L\!=\!4(2,944 × 2,944 (986 KB)) - 21:42, 27 September 2013File:LogQ2mapT2.png [[Complex map]] of [[logarithm]] to base $b\!=\!\sqrt{2}$; The cut of the range of holomorphism is marked with dashed line. Lines $u\!=\!1$, $u\!=\!2$, $u\!=\(1,765 × 1,729 (1.43 MB)) - 09:43, 21 June 2013File:SqrtExpZ.jpg [[Complex map]]s of function <math>f=\exp^c(z)</math> in the <math>z</math> plane for some real values of <math>c=\pm 1, \pm 0.9, \pm 0.5, \pm 0.1</math>.(842 × 953 (83 KB)) - 11:56, 21 June 2013File:Sqrt2figf45bT.png [[Complex map]] of the primary expansion of the growing [[superexponential]] to base $b\!=\!\sqrt{2}$ built up at the [ :$a_0=L=4$ is fixed point of the exponential transfer function $T$,(2,180 × 2,159 (1.01 MB)) - 08:52, 1 December 2018File:Sqrt2figf45eT.png [[Complex map]] of the real-holomorphic [[superfunction]] $F$ of the [[exponential]] to base $b\!=\!\sqrt{2}$ built up at its fixed point $L ...is almost Figure 2 (left at the bottom) of publication in [[Mathematics of Computation]](2,180 × 2,159 (1.18 MB)) - 08:52, 1 December 2018File:Sqrt2figL45eT.png [[Complex map]] of the [[Abel function]] $G$ of the [[exponential]] to base $b\!=\!\sqrt{2}$ constructed at the fixed point In the [[Mathematics of computation]](2,180 × 2,159 (1.07 MB)) - 12:53, 20 July 2020File:TetSheldonImaT.png The holomorphic solution $F$ of equation where [[Filog]] is [[fixed point]] of the [[logarithm]].(4,359 × 980 (598 KB)) - 09:40, 21 June 2013File:IterEq2plotT.jpg ...f [[exponential]] to [[base sqrt(2)]] for various values of the number $c$ of iterations. ...ion, the plotter uses the implementation through the [[superfunction]] $F$ of the exponential to base $\sqrt{2}$, constructed at the fixed point $L\!=\!4(2,922 × 2,922 (1.35 MB)) - 08:38, 1 December 2018File:Ack3a600.jpg [[Complex map]] of [[tetration]] to base $b\!=\!\sqrt{2}\!\approx\!1.41$ ==[[C++]] Generator of map]==(5,130 × 1,793 (1.09 MB)) - 08:28, 1 December 2018File:Ack3b600.jpg [[Complex map]] of [[tetration]] to base $b\!=\!\exp(1/\mathrm e)\!\approx\!1.44$ ==[[C++]] Generator of map]==(5,130 × 1,776 (1 MB)) - 08:28, 1 December 2018File:Ack3c600.jpg [[Complex map]] of [[tetration]] to base $b\!=\!3/2\!=1.5$ ==[[C++]] Generator of map]==(5,130 × 1,776 (1.5 MB)) - 08:28, 1 December 2018File:Ack4a600.jpg [[Complex map]] of [[tetration]] to base $b\!=\!2$ ==[[C++]] Generator of map==(5,130 × 1,776 (1.65 MB)) - 11:57, 21 July 2020