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  • File:Logi2c4T1000.png
    z_type J(z_type z){ return .5-sqrt(.25-z/Q); } z_type H(z_type z){ return Q*z*(1.-z); }
    (1,772 × 1,758 (1.39 MB)) - 08:41, 1 December 2018
  • File:LogQ2mapT2.png
    [[Complex map]] of [[logarithm]] to base $b\!=\!\sqrt{2}$; This function is used as [[transfer function]] for the [[tetration to base sqrt(2)]] in the illustration of the application of the method of [[regular iter
    (1,765 × 1,729 (1.43 MB)) - 09:43, 21 June 2013
  • File:PowIteT.jpg
    ...c function, id est, [[power function]] for power 2; $y=\mathrm{Pow}_2^{~c}(z)=T^c(x)~$ for various values of number $c$ of iteration. Here, : $\!\!\!\!\!\!\!\!\!\!\ (1) ~ ~ ~ T(z)=\mathrm{Pow}_2(z)=z^2=\exp\Big(\ln(z)\,2\Big)$
    (2,093 × 2,093 (1.01 MB)) - 08:46, 1 December 2018
  • File:QFacMapT.png
    [[Complex map]] of function [[Square root of factorial]], $\sqrt{\,!\!}$, id est $f(z)=\mathrm{Factorial}^{1/2}(z)$
    (1,412 × 1,395 (1.47 MB)) - 09:43, 21 June 2013
  • File:QFactorialQexp.jpg
    Functions sqrt(!) , left, and sqrt(exp), right, in the complex plane. : <math> H\big(S(z)\big)=S(z\!+\!1)</math>
    (800 × 399 (121 KB)) - 17:23, 11 July 2013
  • File:ShokaMapT.png
    ...]] of the [[Shoka function]], $\mathrm{Shoka}(z)=z-\ln\!\Big( \mathrm e^{-z} +\mathrm e -1 \Big)$ : ...that of the [[Shoko function]], $\mathrm{Shoko}(z)=\ln\!\Big(1+ \mathrm e^z (\mathrm e \!-\! 1) \Big)$
    (1,773 × 1,752 (992 KB)) - 08:51, 1 December 2018
  • File:ShokoMapT.png
    z_type Shoko(z_type z) { return log(1.+exp(z)*(M_E-1.)); } main(){ int j,k,m,n; DB x,y, p,q, t,r; z_type z,c,d;
    (1,773 × 1,752 (964 KB)) - 09:43, 21 June 2013
  • File:Sqrt2figf45bT.png
    ...the primary expansion of the growing [[superexponential]] to base $b\!=\!\sqrt{2}$ built up at the [[fixed point]] $L\!=\!4$. :$ \displaystyle \tilde f(z)= \sum_{n=0}^{N-1} a_n \exp(knz)$
    (2,180 × 2,159 (1.01 MB)) - 08:52, 1 December 2018
  • File:Sqrt2figf45eT.png
    ...l-holomorphic [[superfunction]] $F$ of the [[exponential]] to base $b\!=\!\sqrt{2}$ built up at its fixed point $L\!=\!4$ with condition $F(0)\!=\!5$. ...tsov, H.Trappmann. Portrait of the four regular super-exponentials to base sqrt(2). Mathematics of Computation, 2010, v.79, p.1727-1756.
    (2,180 × 2,159 (1.18 MB)) - 08:52, 1 December 2018
  • File:Sqrt2figL45eT.png
    ...map]] 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 ...etsov, 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:TaniaBigMap.png
    $f=\mathrm{Tania}(z)=$ $ (z\!+\!1)\!-\!\ln(z\!+\!1) +\frac{ \ln(z\!+\!1)}{z+1}$ $
    (851 × 841 (654 KB)) - 08:53, 1 December 2018
  • File:TaniaContourPlot100.png
    z_type ArcTania(z_type z) {return z + log(z) - 1. ;} z_type ArcTaniap(z_type z) {return 1. + 1./z ;}
    (1,182 × 1,168 (931 KB)) - 08:53, 1 December 2018
  • File:TaniaNegMapT.png
    For $|\Im(z)| < \pi$, $\Re(z)\rightarrow - \infty$, :$ \mathrm{Tania}(z) ~ \sim ~
    (1,773 × 1,752 (306 KB)) - 09:39, 21 June 2013
  • File:TaniaSinguMapT.png
    : where $t= \sqrt{\frac{2}{9}(z+2-\mathrm{i})}$ is shown in the $x\!=\!\Re(z)$, $y\!=\!\Im(z)$ plane with<br>
    (851 × 841 (615 KB)) - 08:53, 1 December 2018
  • File:TaniaTaylor0T.png
    +\frac{z}{2}$ $ +\frac{z^2}{16}$ $
    (851 × 841 (650 KB)) - 09:39, 21 June 2013
  • File:Tet10bxr.jpg
    int main(){ int j,k,m,n; DB p,q,t1,t3,u,v,w,x,y; z_type z,c,d; DO(m,400){x=-1.64+.04*m; y=Re(FIT1(log(sqrt(2.)),x)); if(x>11.1) break; if(m==0)M(x,y)else L(x,y)} fprintf(o,".03 W .8
    (2,491 × 1,952 (236 KB)) - 08:53, 1 December 2018
  • File:Tetreal10bx10d.png
    : $b = \sqrt{2}\approx 1.41,$ : $b = \exp(1/ \mathrm e) \approx 1.44,$
    (2,192 × 2,026 (436 KB)) - 13:56, 5 August 2020
  • File:Tetreal2215.jpg
    ~/PicsFromTori>[[convert]] tetreal2215.pdf tetreal2215.jpg // that is convetred to tetreal2215.jpg <br>
    (876 × 881 (130 KB)) - 09:38, 21 June 2013
  • File:QexpMapT400.jpg
    [[Complex map]] of function $\sqrt(\exp)= \exp^{1/2}$, [[Halfiteration]] of [[exp]]onential to base $\mathrm e$.
    (1,881 × 1,881 (1.83 MB)) - 18:26, 11 July 2013
  • File:Exp05mapT200.jpg
    ...x map]] of the $0.5$th iteration (half-iteration) of [[exponent]], $\sqrt{\exp}$ $u+\mathrm i v= \exp^{0.5}(x+\mathrm i y)=\mathrm{tet}(0.5+\mathrm{ate}(x+\mathrm i y))$
    (1,711 × 885 (872 KB)) - 12:20, 28 July 2013

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