File:PowIteT.jpg: Revision history

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11 March 2022

25 November 2012

24 November 2012

  • curprev 23:5823:58, 24 November 2012imported>Dmitrii Kouznetsov 1,330 bytes +1,330 →‎Summary
  • curprev 23:5123:51, 24 November 2012imported>Dmitrii Kouznetsov 1,186 bytes +1,186 {{Image_Details|user |description = Explicit plot of <math>n</math>th Iteration of the quadratic function, id est, power function for power 2; <math>y=\mathrm{Pow}_2^{~n}(z)=T^n(x)~</math> for various values of number <math>n</math> of iteration. Here, : $\!\!\!\!\!\!\!\!\!\!\ (1) ~ ~ ~ T(z)=\mathrm{Pow}_2(z)=z^2=\exp\Big(\ln(z)\,2\Big)$ The iteration of $T$ is implemented in the following way: :$\!\!\!\!\!\!\!\!\!\!\ (2) ~ ~ ~y=T^n(x)={\mathrm{Pow}_2}^n(z)=F\Big(n+G(x)\Big)$ wh...