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Re: find inverse of an arbitrary function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg38539] Re: find inverse of an arbitrary function
  • From: atelesforos at hotmail.com (Orestis Vantzos)
  • Date: Tue, 24 Dec 2002 06:40:35 -0500 (EST)
  • References: <au3vob$fds$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

I don't quite understand what exactly it is you're trying to do.
If y==f[x] then Solve[y==f[x],x] _might_ give you a meaningful inverse
of f, _if_ f actualy has an inverse and Solve can find it.
On the other hand, your example seems to me like a linear mapping.
If that is so, then you must find its matrix form and try to inverse
that,in order to get the inverse lin.mapping.
I must note that lin.mappings between vector spaces with different
dimensions (like your example) can NOT be inverted, since they are
effectively projections.
Hope that helped..
Orestis

rasoul asheghi <rasoul_asheghi at yahoo.com> wrote in message news:<au3vob$fds$1 at smc.vnet.net>...
> dear
> hello,how are you
> i am a student that wants to compute inverse an
> arbitrary function and the menu help of mathematica
> donot solve myproblem please guid me ,i needs to your
> contribution
> example if F[1,0,1,1,1]={1,0,0,0,0,0,0,0,0,0}then i
> wish to have
> F^(-1)[{1,0,0,0,0,0,0,0,0,0}]={1,0,1,1,1}.
> thanks very much 
> i am waiting for response
> goodby
>  
> 
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