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- The existence of an inverse function is important in mathematics often because the function and its inverse give1 KB (173 words) - 20:09, 27 November 2008
- 137 bytes (20 words) - 09:00, 4 September 2009
- Auto-populated based on [[Special:WhatLinksHere/Inverse function]]. Needs checking by a human.739 bytes (92 words) - 17:31, 11 January 2010
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- The existence of an inverse function is important in mathematics often because the function and its inverse give1 KB (173 words) - 20:09, 27 November 2008
- They are [[inverse function]]s of [[Sin]], [[Cos]], [[Tan]] and [[Cot]] The name of the inverse function is created adding the prefix [[Arc]] to the name of the function. Such a ru2 KB (283 words) - 09:25, 10 October 2013
- ...identity function is [[invertible function|invertible]] (and is its own [[inverse function]]). It is a [[permutation]] of the set, and is the [[identity element]] of425 bytes (64 words) - 15:38, 7 February 2009
- ...hat it is [[bijective function|bijective]] and both the function and its [[inverse function|inverse]] are [[continuity#Continuous function|continuous]] with respect to #The inverse function <math>\scriptstyle f^{-1}:(Y,O_Y) \rightarrow (X,O_X)</math> is a continuou2 KB (265 words) - 07:44, 4 January 2009
- ...ferential equation]] or an integral of an [[elementary function]], or an [[inverse function]] of some [[elementary function]]. There exist algorithms for the efficient716 bytes (101 words) - 16:51, 8 December 2009
- Auto-populated based on [[Special:WhatLinksHere/Inverse function]]. Needs checking by a human.739 bytes (92 words) - 17:31, 11 January 2010
- ...s a [[holomorphic function]] <math> g=f^{-1}</math> which is a two-sided [[inverse function]]: that is,2 KB (293 words) - 17:36, 25 January 2009
- ...ation from the domain to the codomain and back again. The existence of an inverse function often forces the domain and codomain to have common properties. ...ion]]s on relevant sets. In this case we call function <math>g</math> an [[inverse function]] of <math> f</math> and denote it by <math>f^{-1}</math>.4 KB (618 words) - 22:24, 7 February 2010
- ==Inverse function== In this case, the solution <math>x</math> is considered as an [[inverse function]] of <math>b</math>, which can be written as6 KB (951 words) - 05:01, 8 December 2009
- ...nius map]] is an [[field automorphism|automorphism]] of ''F'' and so its [[inverse function|inverse]], the ''p''-th root map is defined everywhere, and ''p''-th roots2 KB (295 words) - 15:43, 7 December 2008
- Since <math>T_y</math> is thus a [[bijective function]], with [[inverse function]] <math>T_{y^{-1}}</math>, it is an [[automorphism]] of ''G'', termed an '2 KB (294 words) - 04:53, 19 November 2008
- ==Inverse function== The inverse function of the exponential is the [[logarithm]]; for any complex <math>z\ne 0</math6 KB (1,021 words) - 12:18, 11 June 2009
- ...r function <math>~z^a\!=\!1/z~</math> and the power function is its own [[inverse function]]. For this case, often <math>~f\!=\! f^{-1}~</math> is called "inverse function" (without to indicate, for which function it is "inverse"); using such a te8 KB (1,339 words) - 13:11, 8 August 2021
- ...of <math>f</math> can be expressed through the logistic sequence and its [[inverse function]]. ...he logistic transfer function, the [[Abel function]] <math>G</math> is the inverse function of the logistic sequence <math>F</math>. The Abel function satisfies the Ab9 KB (1,388 words) - 11:08, 20 November 2011
- Essentially, quantiles are the values of the inverse function to3 KB (436 words) - 08:38, 21 January 2010
- // [[ArcTetration]] to base e, inverse function of [[tetration]].5 KB (279 words) - 01:01, 25 November 2012
- ...etry|isometries]]''. Rigid motions are [[invertible function]]s, whose [[inverse function]]s are also rigid motions, and hence form a [[group (mathematics)|group]],3 KB (392 words) - 14:42, 28 November 2008
- If the inverse function is also holomorphic, this property is called [[biholomorphism]]. The domain9 KB (1,434 words) - 15:35, 7 February 2009
- ...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]]21 KB (3,134 words) - 09:12, 10 October 2013
- ...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 n10 KB (1,580 words) - 08:52, 4 March 2009