XPost: sci.math   
   From: invalid@invalid.com   
      
   On 9/20/2014 3:50 PM, IV wrote:   
   > "Dale" wrote in news:lvkn85$eo9$1@speranza.aioe.org...   
   >>> I am interested here in *symbolically* given functions, that means in   
   >>> expressions of some Special functions (Named functions) (Wikipedia:   
   >>> Special functions), e.g. the Elementary functions (Wikipedia: Elementary   
   >>> function).   
   >> try just (since it is a function);   
   >> y = f(x)   
   >   
   >>> When (under what conditions) is the inverse of a symbolically given   
   >>> function also a function which can be represented symbolically?   
   >> f−1(f(x)) = x = f(f−1(x))   (the f is followed by superscripted -1   
   >> meaning inverse, not exponentation)   
   >> thar you go. all done.   
   >   
   > You are right. Each inverse function can be represented symbolically if   
   > we name the inverse. But is it possible to name all ever imaginable   
   > functions? Please consider, I am interested in the *general*   
   > mathematical problem, not only in the problem for only one given   
   > function! Therefore my hint to Liouville's theorem!   
   >   
   >   
      
   it is general functional form, symbolic.   
   applies to any function.   
      
   Cant get any simpler,   
   except it dosent have to be a "function", but could be multi valued.   
      
   cant name them all, WM into that,   
      
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