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• ArcTra
  ArcTra is inverse of the [[Trappmann function]]; \(\mathrm{ArcTra}=\mathrm{tra}^{-1}\), where ...ing of approximation of solution of algebraic equation with differentiable functions:
  10 KB (1,442 words) - 18:47, 30 July 2019
• AuTra
  [[AuTra]] is the [[inverse function]] of [[SuTra]]. The inverse of \(F\), id est, \(G=F^{-1}\) has the following asymptotic:
  6 KB (1,009 words) - 18:48, 30 July 2019
• Abelpower
  [[Abelpower]] appears [[inverse function]] of the [[superpower]] function. For [[superpower]] function \(F\), the inverse function \(G\!=\!F^{-1}\) is solution of the Abel equation,
  3 KB (470 words) - 18:47, 30 July 2019
• Superlogarithm
  ...[ArcTetration]] \(\mathrm{ate}=\mathrm{tet}^{-1}\), reminding that it is [[inverse function]] of [[SuperExponential]]. ...ames of routines for elementary functions coincide with the names of these functions.
  1 KB (173 words) - 19:31, 30 July 2019
• Superpower
  The two real-holomorphic superpower functions are considered here: For \(a\!=\!2\), the explicit plots of these two functions are shown in figure 1 at right.
  6 KB (903 words) - 18:44, 30 July 2019
• Conjugation
  ...ation should be specified with some function \(P\); it is assumed that the inverse function \(Q=P^{-1}\) exists. Then, for some function \(f\), its conjugate ...the application of function \(P\) to the argument of the function and the inverse function \(Q\) to the result:"raise umbrella, walk through rain, lower umbr
  6 KB (921 words) - 18:46, 30 July 2019
• Mathematical notations
  ...n the operations summation, multiplication, exponentiation and the inverse functions. The inverse operations (if exist) of basic arithmetic operations are denoted, correspon
  5 KB (753 words) - 18:47, 30 July 2019
• Iterate of linear fraction
  The inverse function can be written as follows: All functions \(P\), \(t^n\) and \(Q\) are defined above, and \(f^n\) is expressed in a w
  13 KB (2,088 words) - 06:43, 20 July 2020
• Linear fraction
  ==Inverse function== The inverse function \(T^{-1}\) of the linear fraction \(T\) by (1) is also linear frac
  5 KB (830 words) - 18:44, 30 July 2019
• Superfunctions
  ...on]]s, [[superfunction]]s, and the non-integer [[iterate]]s of holomorphic functions. Non-integer iterates of holomorphic functions.<br>
  15 KB (2,166 words) - 20:33, 16 July 2023
• Ackermann function
  The first ackermann functions have special names: ...lysis]] are based on the first 3 [[ackermann functions]] and their inverse functions in various combinations.
  10 KB (1,534 words) - 06:44, 20 July 2020
• AdPow
  [[AdPow]] is [[inverse function]] of [[SdPow]], that, in its turn, is [[superfunction]] of the [[p For \(a\!=\!2\), both functions [[AdPow]] and [[AuPow]] are shown in Fig.1
  2 KB (271 words) - 18:43, 30 July 2019
• Arcsin.cin
  ...the name of the function here is arcsin, not asin. Comparison of these two functions for 201 real values of the argument can be performed with the routine below [[ArcSin]], [[C++]], [[Inverse function]]
  4 KB (488 words) - 06:58, 1 December 2018
• ArqNem
  [[ArqNem]] is one of the [[inverse function]]s of the [[Nemtsov function]] Nem: The branch points for all inverse functions of the [[Nemtsov function]] \(\mathrm {Nem}_q\) are the same.
  7 KB (1,319 words) - 18:46, 30 July 2019
• AuNem
  [[AuNem]] is [[inverse function]] of function [[SuNem]]; ...be extended, using the inverse function of the [[Nemtsov function]]; this inverse function is denoted as
  9 KB (1,441 words) - 18:45, 30 July 2019
• AuPow
  [[AuPow]] is [[inverse function]] of [[SuPow]], that, in its turn, is [[superfunction]] of the [[p For \(a\!=\!2\), both functions [[AdPow]] and [[AuPow]] are shown in Fig.1
  2 KB (284 words) - 18:43, 30 July 2019
• Base e1e
  ...], [[SuperExponential]] (in particular, the [[tetration]]) and the inverse functions.
  4 KB (559 words) - 17:10, 10 August 2020
• Chebyshev polynomial
  In [[Mathematica]], the [[Chebyshev polynomial]]s are built-in functions; \(T_n(x)\) is denoted with ChebyshevT[n,x] However, these polynomials do not form a group, as the inverse elements cannot be provided.
  1 KB (186 words) - 18:48, 30 July 2019
• Elementary function
  ...ion of the first three [[Ackermann function]]s functions and their inverse functions. The first three ackermann functions are
  3 KB (496 words) - 18:45, 30 July 2019
• Inverse function
  [[Inverse function]] of some function \(f\) is sigh function \(g\!=\!f^{-1}\), that i ==Self-inverse functions==
  3 KB (444 words) - 18:43, 30 July 2019

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