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...se functions allow evaluation of not only minus-first power of a function (inverse function), but also any real and even complex iteration of the function. Historicall The inverse function, id est <math>F=\mathcal \chi^{-1}</math> is an [[entire function|entire]]

...of characteristic two. The Frobenius map is an automorphism and so its [[inverse function|inverse]], the square root map is defined everywhere, and square roots do n

<math>\mathrm{factorial}(x)=x!</math>; the inverse function, id est, This expansion can be used for the precise evaluation of the inverse function of factorial (arcfactorial) in vicinity of the branchpoint.

...er]] <math>\scriptstyle z</math>. Equivalently, it may be defined as the [[inverse function]] of <math>f(w) = we^w</math>. Thus, the equation <math>C = we^w</math> is

...[[matrix (mathematics)|matrices]] under multiplication and the group of [[Inverse function|invertible functions]] under [[Function composition|composition]]. Group t

...phere are complicated functions of height, and because gravitation is an inverse function of distance to the center of the planet, a completely general barometric Taking the exponent (the inverse function of the natural logarithm) of both sides of equation (2)

The minus first iteration of a function is its [[inverse function]]

::: My instinct is that the definition of a logarithm as the inverse function to an exponential ("undoing" the exponential) is both the most fundamental

...ing it as <math>f(x) - g(x) = 0</math>. It can also be used to calculate [[inverse function]]s. If <math>f</math> and <math>f^{-1}</math> are inverse functions of each ...on <math>x^2 - y = 0</math> for <math>x</math> (<math>x^2</math> being the inverse function of <math>\sqrt x</math>).

The inverse function of Tania can be called "ArcTania"; ArcTania = Tania⁻¹. The ''A

While writing formal expressions (and assuming existence of the inverse function <math>F^{-1}</math>), the ===Inverse function and group properties===

...th>K</math> of function <math>g</math> is implemented, together with its [[inverse function]]

...nce neither is this complex [[exponential function]]. Therefore it has no inverse function, as the concept of "function" is generally defined in the present day. How

...atica, as Maple seem to fail to do it. I would include a section about the inverse function to every article about a specific function. [[User:Dmitrii Kouznetsov|Dmitr

*The [[inverse function theorem]] states that if ''m'' = ''n'' and '''f''' is continuously differen

..., such a notation leads to confusions as soon as one needs to consider the inverse function ...n <math>\,f</math>, it is common to use notation <math>\,f^{-1}</math> for inverse function, such that <math>\,f\Big(f^{-1}(z)\Big)=z</math>)

and v as the inverse function, the "eduction"

...ive name "superexponential" for this function and "superlogarithm" for the inverse function. ...e found, iterating equation <math>z=\mathrm{slog}(z)</math>, where slog is inverse function of tetration.

...'uniform homeomorphism''' of these two spaces) if it is bijective, and the inverse function <math>\ f^{-1} : Y \rightarrow X</math>&nbsp; is a uniform map of<math>(Y,\

and v as the inverse function, the "eduction"