Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
1996
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 1996

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Inverse Functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg3239] Re: Inverse Functions
  • From: John Tanner <john at janacek.demon.co.uk>
  • Date: Mon, 19 Feb 1996 03:01:27 -0500
  • Sender: owner-wri-mathgroup at wolfram.com

In article <4fpdob$f9r at dragonfly.wolfram.com>, Julian Charko
<jcharko at microage-ll.awinc.com> writes
>As a relatively inexperienced user of Mathematica, could someone inform me
>how to get a closed-form expression--in terms of elementary functions if
>possible--for the inverse of the function
>
>                           f(x) = x^x
>
>Since the function is one-to-one over its domain, it does have a
>mathematical inverse.
>
>Thank You,
>
>Julian P. Charko, P. Eng.
>
>
>

Because all variables are assumed as complex, there are inherently
multiple solutions: for example x=I and x=-I.

However, even for real cases there are multiple solutions: for example
x=0 and x=1 (and points in between).

I wish you luck in trying to disentangle this: you may get a specific
solution for a given range but there seems not to be a general solution.
More info required: you have our interest.

--
I hate this 'orrible computer :  from -  John Tanner
I really ought to sell it     :  home -  john at janacek.demon.co.uk
It never does what I want     :  $$$$ -  100344.3241 at compuserve.com 
but only what I tell it.      :  work -  john.tanner at gecm.com


==== [MESSAGE SEPARATOR] ====


  • Prev by Date: Re: What is Mathmatica
  • Next by Date: Re: Inverse Functions
  • Previous by thread: Re: Inverse Functions
  • Next by thread: Re: Inverse Functions