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File:B271a.png [[Complex map]] of [[ArcTetration]] to base $\mathrm e \approx 2.71~$: The branchpoints $L\!\approx \! 0.2+1.3 \mathrm i$ and $L^*$ are [[fixed point]]s of [[logarithm]].(1,609 × 1,417 (506 KB)) - 08:30, 1 December 2018
File:B271t.png [[Complex map]] of tetration to base $\mathrm e$, isolines of real and imaginary parts of DB b=sqrt(2);(1,609 × 1,417 (791 KB)) - 08:30, 1 December 2018
File:B271t3T.png [[Complex map]] of [[tetration]] to base $\mathrm e\approx 2.71$ fprintf(o,"1 setlinejoin 2 setlinecap\n");(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> $b\!=\!\sqrt{2}$ , right.(2,234 × 711 (883 KB)) - 08:34, 1 December 2018
File:Esqrt2iterMapT.png [[Complex map]] of 1/3 th iteration of the [[exponential]] to [[base sqrt(2)]]. $T(x) = \Big(\sqrt{2}\Big){^z}= \exp_b(z)$(1,092 × 1,080 (1.36 MB)) - 09:43, 21 June 2013
File:ExpQ2mapT.png [[Complex map]] of [[exponential]] to [[base sqrt2]], id est, $b=\sqrt{2}$; $u\!+\!\mathrm i v=\exp_{\sqrt{2}}(x\!+\!\mathrm i y)$(1,765 × 1,729 (1.15 MB)) - 08:35, 1 December 2018
File: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 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
File:Fukushima 180511.jpg contamination from $3\,\mathrm{MBq/m^2}$ to $30 \, \mathrm{MBq/m^2}$ contamination from $1\,\mathrm{MBq/m^2}$ to $3 \, \mathrm{MBq/m^2}$(650 × 904 (255 KB)) - 09:38, 21 June 2013
File:IterEq2plotU.png [[Explicit plot]] of $c$th [[iteration]] of [[exponential]] to [[base sqrt(2)]] for various values of the number $c$ of iterations. ...tation through the [[superfunction]] $F$ of the exponential to base $\sqrt{2}$, constructed at the fixed point $L\!=\!4$, and the corresponding [[Abel f(2,944 × 2,944 (986 KB)) - 21:42, 27 September 2013
File:Lhades.jpg Generated: 02:50, 2 September 2010 On the base of several messages I got (and would not like to reveal), I suggest the fol(3,344 × 5,184 (1.71 MB)) - 09:44, 21 June 2013
File:LogQ2mapT2.png [[Complex map]] of [[logarithm]] to base $b\!=\!\sqrt{2}$; ...range of holomorphism is marked with dashed line. Lines $u\!=\!1$, $u\!=\!2$, $u\!=\!4$, $u\!=\!6$ pass through the integer values at the real axis.(1,765 × 1,729 (1.43 MB)) - 09:43, 21 June 2013
File:Sqrt2figf45bT.png ...primary expansion of the growing [[superexponential]] to base $b\!=\!\sqrt{2}$ built up at the [[fixed point]] $L\!=\!4$. $T(z)=\exp_{\sqrt{2}}(z)=\Big( \sqrt{2} \Big)^z$(2,180 × 2,159 (1.01 MB)) - 08:52, 1 December 2018
File:Sqrt2figf45eT.png ...omorphic [[superfunction]] $F$ of the [[exponential]] to base $b\!=\!\sqrt{2}$ built up at its fixed point $L\!=\!4$ with condition $F(0)\!=\!5$. The image 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 2018
File:Sqrt2figL45eT.png ...] of the [[Abel function]] $G$ of the [[exponential]] to base $b\!=\!\sqrt{2}$ constructed at the fixed point $L\!=\!4$ with normalization $G(0)\!=\!5$. ..., H.Trappmnn. Portrait of the four regular super-exponentials to base sqrt(2).(2,180 × 2,159 (1.07 MB)) - 12:53, 20 July 2020
File:Tet10bxr.jpg [[Explicit plot]] of [[tetration]] for real values of base $b\!>\!1$. { fprintf(O,"%c!PS-Adobe-2.0 EPSF-2.0\n",'%');(2,491 × 1,952 (236 KB)) - 08:53, 1 December 2018
File:TetPlotU.png [[Explicit plot]] of [[tetration]] to [[base e]]; $y=\mathrm{tet}(x)$ is shown with thick pink line. fprintf(o,"1 setlinejoin 2 setlinecap\n");(838 × 2,088 (124 KB)) - 08:53, 1 December 2018
File:TetSheldonImaT.png Few iterations at the [[Iterated Cauchi]] for the [[Tetration to Sheldon base]]. : $\!\!\!\!\!\! (2) ~ ~ ~(4,359 × 980 (598 KB)) - 09:40, 21 June 2013
File:Tetsheldonmap03.png [[Complex map]] of [[tetration to Sheldon base]] cu=.5-I/(2.*M_PI)*log( (z_type(1.,-A)+z)/(z_type(1., A)-z) );(2,549 × 702 (982 KB)) - 08:53, 1 December 2018
