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File:Ack4bFragment.jpg [[Category:Natural tetration]](3,457 × 1,776 (1.62 MB)) - 08:28, 1 December 2018File:Ack4c.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(5,130 × 1,760 (1.92 MB)) - 08:28, 1 December 2018File:Ack4d.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(1,282 × 440 (266 KB)) - 08:28, 1 December 2018File:Ackerplot.jpg $A_{\mathrm e,4}(z)=\mathrm{tet}(z)~$ , see [[natural tetration]] $A_{\mathrm e,5}(z)=\mathrm{pen}(z)~$ , see [[natural pentation]](2,800 × 4,477 (726 KB)) - 08:28, 1 December 2018File:Ackerplot400.jpg $A_{\mathrm e,4}(z)=\mathrm{tet}(z)~$ , see [[natural tetration]] $A_{\mathrm e,5}(z)=\mathrm{pen}(z)~$ , see [[natural pentation]](3,355 × 4,477 (805 KB)) - 08:29, 1 December 2018File:Analuxp01t400.jpg Comparison of various fits of the [[natural titration]] with the [[complex map]s For [[Natural tetration]], the increment $k=L$.(2,083 × 3,011 (1.67 MB)) - 08:29, 1 December 2018File:Analuxp01u400.jpg [[Complex map]]s of various approximations $f$ of [[natural tetration]]. For [[Natural tetration]], the increment $k=L$.(2,083 × 3,011 (1.72 MB)) - 08:29, 1 December 2018File:Analuxp02t900.jpg is [[fixed point]] of natural [[logarithm]], $\ln(L)\!=\!L\!=\!\exp(L)$. This is asymptotic value of [[natural tetration]] in the [[Second quadrant]] of the [[complex plane]].(3,362 × 1,295 (987 KB)) - 08:29, 1 December 2018File:Ayu-Dag Mountain.JPG This is a photo of a natural heritage site in Ukraine, id: 01-103-5008(2,000 × 1,397 (1.17 MB)) - 08:30, 1 December 2018File:CHN orthographic.svg.png Source Own work with Natural Earth Data Source Own work with Natural Earth Data(550 × 550 (149 KB)) - 08:31, 1 December 2018File:Dubovichenko-Foto.jpg in RK and Russia, Professor, active member of Russian Academy of Natural History.(1,205 × 1,425 (406 KB)) - 08:34, 1 December 2018File:E1eAuMap600.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(3,543 × 5,338 (1.57 MB)) - 08:34, 1 December 2018File:E1egi4.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(2,236 × 1,660 (828 KB)) - 08:34, 1 December 2018File:E1esuma8.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(4,472 × 3,320 (1.76 MB)) - 08:34, 1 December 2018File:E1eSuMap600.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(3,377 × 5,055 (1.37 MB)) - 08:34, 1 December 2018File:E1etetma8.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(4,472 × 3,320 (1.69 MB)) - 08:34, 1 December 2018File:E1eti4.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(2,236 × 1,660 (1.02 MB)) - 08:34, 1 December 2018File:Exp1exp2t.jpg Evaluation of the natural [[tetration]] tet and the [[arctetration]] ate is described also in the(1,278 × 875 (296 KB)) - 08:35, 1 December 2018File:Expitemap.jpg [[Complex map]]s of iterates of natural exponent; [[Category:Natural tetration]](1,825 × 2,841 (1.88 MB)) - 08:35, 1 December 2018File:Logiha300.jpg \newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font %\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these(1,771 × 2,551 (1.81 MB)) - 08:42, 1 December 2018