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File:Expe1eplotT.jpg [[Explicit plot]] of [[exponential]] to [[base e1e]] (thick green curve) and that of the [[exponential]] to [[base sqrt2]] (thin red curve)(2,515 × 1,751 (350 KB)) - 08:35, 1 December 2018
File:Expq2mapT1000.jpg [[Complex map]] of [[exponential to base sqrt2]] $u+\mathrm i v=\exp_{\sqrt{2}}(x+\mathrm i y)$(2,333 × 2,333 (1.8 MB)) - 08:35, 1 December 2018
File:Loge1emapT1000.jpg [[Complex map]] of [[logarithm]] to [[base sqrt2]], $b=\sqrt{2}\approx 1.41421356237$; $u+\mathrm i v=\log_{\sqrt{2}}(x+\mathrm i y)$(2,361 × 2,333 (1.67 MB)) - 08:41, 1 December 2018
File:Logq2mapT1000.jpg [[Complex map]] of [[logarithm]] to [[base sqrt2]], $b=\sqrt{2}\approx 1.41421356237$; $u+\mathrm i v=\log_{\sqrt{2}}(x+\mathrm i y)$(2,361 × 2,333 (1.49 MB)) - 08:42, 1 December 2018
File:Sqrt23uplot.jpg Explicit plot of the growing superexponential to base $\sqrt{2}$ , thick curve, and the exponential to this base, thin curve:(1,569 × 4,381 (240 KB)) - 08:52, 1 December 2018
File:Sqrt27t.jpg [[Explicit plot]] of [[tetration]] to base $\sqrt{2}$ $y=\mathrm{tet}_{\sqrt{2}}(x)$(3,401 × 3,401 (475 KB)) - 08:52, 1 December 2018
File:Sqrt27u.png ...roximate symmetry of the [[explicit plot]] of [[tetration]] to base $\sqrt{2}$ in figure http://mizugadro.mydns.jp/t/index.php/File:Sqrt27t.jpg $y=\mathrm{devi}(x)=\mathrm{tet}_{\sqrt{2}}(x) + \mathrm{ate}_{\sqrt{2}}(-x) ~$(856 × 507 (50 KB)) - 08:52, 1 December 2018
File:Sqrt2atemap.jpg [[Complex map]] of [[arctetration]] to base $\sqrt{2}$: $u\!+\!\mathrm i v = \mathrm{ate}_{\sqrt{2}}(x\!+\!\mathrm i y)$(1,758 × 1,741 (723 KB)) - 08:52, 1 December 2018
File:Sqrt2diimap80.jpg ...exponent to base $\sqrt{2}$ constructed at its lower ("down") fixed point 2: $u\!+\!\mathrm i v= \exp_{\sqrt{2},\mathrm d}(x\!+\!\mathrm i y)$(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. $u\!+\!\mathrm i v= \exp_{\sqrt{2},\mathrm d}^{~ 1/2}(x\!+\!\mathrm i y)$(1,766 × 1,750 (1.43 MB)) - 08:52, 1 December 2018
File:Sqrt2srav.png ...half iterate of exponent to base \( \sqrt{2} \) constructed at fixed point 2 and at fixed point 4. \( y=\exp_{\sqrt{2},\mathrm u}^{~1/2}(x) \) , solid line(2,532 × 1,639 (263 KB)) - 10:53, 24 June 2020
File:Sqrt2sufuplot.png Four superexponentials to base \(b=\sqrt{2}\) \(F_{2,3} \) and(3,520 × 2,507 (408 KB)) - 10:11, 10 June 2022
File:Sqrt2tetatemap.jpg $\mathrm{tet}_{\sqrt{2}}(\mathrm{ate}_{\sqrt{2}}(z))=z$ 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 $\sqrt{2}$: $u\!+\!\mathrm i v = \mathrm{tet}_{\sqrt{2}}(x\!+\!\mathrm i y)$(1,758 × 1,741 (656 KB)) - 08:52, 1 December 2018
File:Sqrt2uiimap80.jpg [[Complex map]] of iterate number i of exponent to base $\sqrt{2}$ constructed at its upper fixed point 4: $u\!+\!\mathrm i v= \exp_{\sqrt{2},\mathrm u}(x\!+\!\mathrm i y)$(2,302 × 2,306 (1.84 MB)) - 08:52, 1 December 2018
File:Tet5loplot.jpg $\mathrm e\!=\!\exp(1)\!\approx\!2.71$ is base of the natural logarithm, $\tau\!\approx\! 1.63532$ is crytical base; at $b\!=\!\tau$, tetration has 2 real fixed points:(1,477 × 1,486 (283 KB)) - 08:53, 1 December 2018- ...pg|200px|thumb|Thick green curve: \(y=\eta^x\); thin red curve: \(y=(\sqrt{2})^x\)]] [[Base e1e]] refers to the value of base \(b= \eta =\exp(1/\mathrm e)\approx 1.4446678610\)4 KB (559 words) - 17:10, 10 August 2020
- ...apT.png|300px|thumb|[[Complex map|Map]] of [[exponent]] to base \(b=\sqrt{2}\); lines of constant \(u\) and lines of constant \(v\) show ...00.jpg|300px|thumb|[[Complex map|Map]] of [[Logarithm]] to base \(b=\sqrt{2}\); lines of constant \(u\) and lines of constant \(v\) show3 KB (557 words) - 18:46, 30 July 2019
- </ref> and \(~y=\sin^n(\pi/2)-\sin^n(x)~\) with \(~n\!=\!100~\) http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html<br>7 KB (1,031 words) - 03:16, 12 May 2021
