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File:ArcKellerMapT.png z_type Shoka(z_type z) { return z + log(exp(-z)+(M_E-1.)); } ..._type Keller(z_type z) { return z + log(exp(-z)+(M_E-1.));} // The same as Shoka???(1,773 × 1,752 (924 KB)) - 08:29, 1 December 2018File:ArcShokaMapT.png z_type Shoka(z_type z) { return z + log(exp(-z)+(M_E-1.)); } // c=Shoka(c);(1,773 × 1,752 (1,010 KB)) - 08:29, 1 December 2018File:ExpQ2mapT.png // c=Shoka(c);(1,765 × 1,729 (1.15 MB)) - 08:35, 1 December 2018File:KellerDoyaT.png z_type Shoka(z_type z) { return z + log(exp(-z)+(M_E-1.)); } DO(n,154){x=.005+.02*n;y=Re(Shoka(1.+ArcShoka(x)));if(n==0)M(x,y)else L(x,y)} fprintf(o,".02 W 0 0 .6 RGB S\n(661 × 881 (70 KB)) - 08:39, 1 December 2018File:KellerMapT.png z_type Shoka(z_type z) { return z + log(exp(-z)+(M_E-1.)); } [[Category:Shoka function]](1,773 × 1,752 (1 MB)) - 08:39, 1 December 2018File:KellerPlotT.png : $ y=\mathrm{Keller}^t(x)=\mathrm{Shoka}\Big( t + \mathrm{ArcShoka}(x)\Big)$ ...c, the iterations of the [[Keller function]] are implemented through the [[Shoka function]] and the [[ArcShoka]] function.(870 × 885 (118 KB)) - 08:39, 1 December 2018File:ShokaMapT.png [[Complex map]] of the [[Shoka function]], $\mathrm{Shoka}(z)=z-\ln\!\Big( \mathrm e^{-z} +\mathrm e -1 \Big)$ : $u\!+\! \mathrm i v = \mathrm{Shoka}(x\!+\! \mathrm i y)$(1,773 × 1,752 (992 KB)) - 08:51, 1 December 2018File:ShokotaniaT.png [[Category:Shoka function]](1,669 × 955 (119 KB)) - 08:51, 1 December 2018File:03355shokaMargo.jpg [[Category:Shoka]](2,048 × 1,536 (1.28 MB)) - 08:24, 1 December 2018File:Expq2mapT1000.jpg // c=Shoka(c);(2,333 × 2,333 (1.8 MB)) - 08:35, 1 December 2018File:KelleriteT.jpg $y=\mathrm{Keller}^{n}(x) =\mathrm{Shoka}\Big(n+\mathrm{ArcShoka}(x)\Big)~$ versus $x$ for various number $n$ of ite z_type Shoka(z_type z) { return z + log(exp(-z)+(M_E-1.)); }(871 × 880 (493 KB)) - 08:39, 1 December 2018File:04341shokoNowawaPeppe.jpg Shoka at Nogawa, 2020 November. [[Category:Shoka]](1,539 × 1,153 (818 KB)) - 15:03, 18 November 2020File:04707shokaFence.jpg Shoka jumps across the fence at Nogawa. [[Category:Shoka]](2,408 × 1,806 (1.74 MB)) - 18:13, 16 May 2021File:04708shokaStairs.jpg Shoka jumped across the fence at Nogawa. [[Category:Shoka]](2,408 × 1,806 (1.66 MB)) - 21:57, 16 May 2021File:04710shokaSakura.jpg Sakura and Shoka at Nogawa [[Category:Shoka]](2,408 × 1,806 (1.81 MB)) - 22:00, 16 May 2021File:04711shokaSakura.jpg Shoka and sakura at Nogawa. [[Category:Shoka]](2,408 × 1,806 (1.75 MB)) - 22:02, 16 May 2021File:04724shokaHana.jpg [[Category:Shoka]](2,408 × 1,806 (1.66 MB)) - 22:14, 16 May 2021File:04743shokaJitensha.jpg [[Category:Shoka]](2,408 × 1,806 (1.64 MB)) - 22:33, 16 May 2021File:04744shoa.jpg [[Category:Shoka]](2,408 × 1,806 (1.77 MB)) - 22:35, 16 May 2021File:04749ShoikaVelo.jpg Shoka jitenshing. [[Category:Shoka]](2,408 × 1,806 (1.75 MB)) - 22:39, 16 May 2021