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File:Sqrt(exp)(z).jpg #REDIRECT [[File:SqrtExpZ.jpg]](842 × 953 (83 KB)) - 06:14, 1 December 2018
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File:FactoReal.jpg http://en.citizendium.org/wiki/Image:FactoReal.jpg // FactoReal.cc , source of the figure [[Image:FactoReal.jpg|100px|right]](915 × 1,310 (141 KB)) - 08:35, 1 December 2018File:AcosqplotT100.png :$ \mathrm{acosq}(z)=\mathrm{acosc}\left( \mathrm e^{\mathrm i \pi/4}\, z\right)$ for real values of $z$.(2,231 × 1,215 (152 KB)) - 09:41, 21 June 2013File:AfacmapT800.png z_type fracti(z_type z){ z_type s; int n; DB a[17]= s=a[16]/(z+19./(z+25./(z))); for(n=15;n>=0;n--) s=a[n]/(z+s);(2,355 × 2,334 (1.03 MB)) - 09:41, 21 June 2013File:ArcShokaMapT.png z_type Shoko(z_type z){ return log(1.+exp(z)*(M_E-1.)); } z_type Shoka(z_type z) { return z + log(exp(-z)+(M_E-1.)); }(1,773 × 1,752 (1,010 KB)) - 08:29, 1 December 2018File:AuZexMapT.jpg // z_type zex(z_type z) { return z*exp(z) ; } z_type LambertWo(z_type z){ int n,m=48; z_type d=-z;(4,367 × 4,326 (1.53 MB)) - 08:30, 1 December 2018File:B271t.png main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d, cu,cd; DB b=sqrt(2);(1,609 × 1,417 (791 KB)) - 08:30, 1 December 2018File:Besselk0mapT900.png z_type besselk0o(z_type z){ z_type L=log(z); z_type t=z*z; z_type besselk0O(z_type z){ z_type t=1./z, q=sqrt(t); z_type s;(2,118 × 2,105 (1.62 MB)) - 09:41, 21 June 2013File:DoyaconT70.png z_type ArcTania(z_type z) {return z + log(z) - 1. ;} z_type ArcTaniap(z_type z) {return 1. + 1./z ;}(442 × 817 (98 KB)) - 09:39, 21 June 2013File:DoyaPlotT100.png $ \mathrm{Doya}_t(z)=\mathrm{Tania}(t+\mathrm{ArcTania}(z))$ $\displaystyle \mathrm{Tania}'(z)=(580 × 590 (77 KB)) - 08:34, 1 December 2018File:E1efig09abc1a150.png $b\!=\!\exp(1/\mathrm e)$ , center, and<br> $b\!=\!\sqrt{2}$ , right.(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)]]. $T(x) = \Big(\sqrt{2}\Big){^z}= \exp_b(z)$(1,092 × 1,080 (1.36 MB)) - 09:43, 21 June 2013File:ExpQ2mapT.png [[Complex map]] of [[exponential]] to [[base sqrt2]], id est, $b=\sqrt{2}$; $u\!+\!\mathrm i v=\exp_{\sqrt{2}}(x\!+\!\mathrm i y)$(1,765 × 1,729 (1.15 MB)) - 08:35, 1 December 2018File:FacmapT500.png z_type fracti(z_type z){ z_type s; int n; DB a[17]= s=a[16]/(z+19./(z+25./(z))); for(n=15;n>=0;n--) s=a[n]/(z+s);(2,355 × 2,334 (1.73 MB)) - 09:41, 21 June 2013File:Filogbigmap100.png ...og}(z)$ expresses the [[fixed point]] of [[logarithm]] to base $b\!=\!\exp(z)$. $\mathrm{Filog}(z^*)^*$(2,870 × 2,851 (847 KB)) - 08:36, 1 December 2018File:Filogmap300.png ...og}(z)$ expresses the [[fixed point]] of [[logarithm]] to base $b\!=\!\exp(z)$. $\mathrm{Filog}(z^*)^*$(893 × 897 (292 KB)) - 09:40, 21 June 2013File:IterEq2plotU.png [[Explicit plot]] of $c$th [[iteration]] of [[exponential]] to [[base sqrt(2)]] for various values of the number $c$ of iterations. ...lementation through the [[superfunction]] $F$ of the exponential to base $\sqrt{2}$, constructed at the fixed point $L\!=\!4$, and the corresponding [[Abel(2,944 × 2,944 (986 KB)) - 21:42, 27 September 2013File:IterPowPlotT.png ...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 (680 KB)) - 20:50, 28 September 2013File:LambertWmap150.png z_type ArcTania(z_type z) {return z + log(z) - 1. ;} z_type ArcTaniap(z_type z) {return 1. + 1./z ;}(1,773 × 1,752 (523 KB)) - 08:41, 1 December 2018File:LambertWplotT.png $y=\mathrm{zex}(x)=x\, \exp(x)$, light green curve #define Re(z) z.real()(1,267 × 839 (81 KB)) - 09:43, 21 June 2013File:Logi2c3T1000.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 (1.36 MB)) - 08:41, 1 December 2018