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• Superfunction
  [[Superfunction]] comes from iteration of some function. For some function <math>T</math> (which is called [[Transfer function]]) and for some constant <math>t</math>, the superfunction \(F\) could be d
  25 KB (3,622 words) - 08:35, 3 May 2021
• Place of science in the human knowledge
  ...of the statistical significance of a “second” peak at the correlation function, using the Poissonian model of random (independent) distribution, that can ...ture for years 1989-2020, fit them with linear function and with quadratic function, and check, if the raise of mean temperature accelerates during 30 years si
  100 KB (14,715 words) - 16:21, 31 October 2021
• Regular Iteration
  ...or '''regular iterate''' refer to the [[fractional iterate]] a holomorphic function that is holomorphic in vicinity it its fixed point A [[fractional iterate]] $\phi$ of an analytic function $f$ at fixpoint $a$ is called regular, iff $\phi$ is analytic at $a$ or has
  20 KB (3,010 words) - 18:11, 11 June 2022
• Iteration
  ...ерация]]) is function, expressed as repetition of another (iterated) function, that may be called [[iterand]]. Any function by itself is considered as its first iteration.
  14 KB (2,203 words) - 06:36, 20 July 2020
• LogisticSequence
  ...of the special case of quadratic [[transfer function]] called [[Logistic]] function or [[LogisticOperator]] ...Sequence are shown in two figures at right. Below, the [[complex map]]s of function \(\mathrm{LogisticSequence}_s\) are shown for \(s\!=\!3\) and for \(s\!=\!4
  7 KB (886 words) - 18:26, 30 July 2019
• Logistic operator
  [[Logistic operator]] (or '''LogisticOperator''') is quadratic function of specific kind determined with the single parameter \(s\), which is usula ...(u\) or \(q\)). In such a way, \(\mathrm{LogisticOperator}_s\) is [[entire function]].
  6 KB (817 words) - 19:54, 5 August 2020
• Power function
  ...([[Степенная функция]]) is one of the primary [[elementary function]]s; ...parameter; often it is assumed that \(a\) is real. The real-real plot of function \(T(z)\!=\!z^a\) is shown in Fig.1 for several values of \(a\).
  15 KB (2,495 words) - 18:43, 30 July 2019
• Logistic
  </ref>, which is quadratic function \(T\) of special kind: ...uperfunction]]s \(F\) for the [[Logistic operator]], id est, [[holomorphic function|holomorphic]] solution \(F\) of equation
  3 KB (411 words) - 18:26, 30 July 2019

• File:DoyaplotTc.png [[Doya function]] with parameter unity of real argument, $y=T(x)=\mathrm{Doya}_1(x)$ The quadratic approximation in vicinity of zero $y=T'(0) x +\frac{1}{2}T''(0)x^2 =\mathrm (881 × 1,325 (95 KB)) - 09:43, 21 June 2013

• File:IterPowPlotT.png ...licit plot]] of $c$th Iteration of the quadratic function, id est, [[power function]] for power 2; $y=\mathrm{Pow}_2^{~c}(z)=T^c(x)~$ for various values of num is [[superfunction]] for the transfer function $T$ and (2,093 × 2,093 (680 KB)) - 20:50, 28 September 2013

• File:Logi1a345T300.png where [[logisticOperator]] is quadratic functin of special kind, ...e branch should be specified, as the logistic operator is not a monotonous function. (1,636 × 565 (184 KB)) - 08:41, 1 December 2018

• File:PowIteT.jpg ...licit plot]] of $n$th Iteration of the quadratic function, id est, [[power function]] for power 2; $y=\mathrm{Pow}_2^{~c}(z)=T^c(x)~$ for various values of num is [[superfunction]] for the transfer function $T$ and (2,093 × 2,093 (1.01 MB)) - 08:46, 1 December 2018

• Superpower
  [[File:Superpower2plot.jpg|300px|thumb|Fig.1. Quadratic function (black curve) and two its superfunctions]] [[Superpower]] or '''superpower function''' is [[superfunction]] for [[power function]] \(T(z)=z^a\) where \(a\) is parameter; often it is assumed, that \(a\!>\!
  6 KB (903 words) - 18:44, 30 July 2019
• Mandelbrot polynomial
  [[Mandelbrot polynomial]] is special kind of quadratic polynomial, written in form [[Superfunction]] \(\Phi\) for the transfer function \(P_c\) can be constructed from the [[Superfunction]] \(F\) of the [[Logist
  2 KB (229 words) - 18:44, 30 July 2019
• Iterate of linear fraction
  ...rate_of_linear_fraction]] (or [[iteration of linnet friaction]]) refers to function First, consider the special case when the iterated function has only single parameter. Let
  13 KB (2,088 words) - 06:43, 20 July 2020

• File:Z2itmapT.jpg [[Complex map]] of function $T(z)=z^2$. [[Category:Elementary function]] (2,175 × 2,158 (1.74 MB)) - 08:57, 1 December 2018

• File:IterPowPlotT.jpg [[Iterate]]s of quadratic function, $T(z)=z^2$: (2,092 × 2,092 (1.06 MB)) - 08:38, 1 December 2018

• File:2014rubleDollar3param.png Each set is formed with specific four-parametric function $f$, and values of parameters are chosen to minimise the mean square deviat $f(x)=\mathrm{Quadratic}(x)=a + b x +c x^2$ (1,273 × 837 (294 KB)) - 08:26, 1 December 2018

• File:2014specula.png ==Quadratic approximation== The black curve shows the quadratic function (1,502 × 651 (177 KB)) - 08:26, 1 December 2018

• File:Aupower2map.jpg ...ap]] of the [[Abelfunction]] $G$ of the power transfer function (quadratic function) $T(z)\!=\!z^2$ is shown with Abelfunction $G$ is inverse of the [[superpower]] function (2,175 × 2,158 (900 KB)) - 08:30, 1 December 2018

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