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  1. Newsgroups: sci.math
  2. Path: sparky!uunet!haven.umd.edu!ames!sun-barr!cs.utexas.edu!sdd.hp.com!zaphod.mps.ohio-state.edu!pacific.mps.ohio-state.edu!linac!att!news.cs.indiana.edu!noose.ecn.purdue.edu!mentor.cc.purdue.edu!news
  3. From: ags@seaman.cc.purdue.edu (Dave Seaman)
  4. Subject: Re: Do you know ?
  5. Message-ID: <Bw7y1r.FuJ@mentor.cc.purdue.edu>
  6. Sender: news@mentor.cc.purdue.edu (USENET News)
  7. Organization: Purdue University
  8. References: <1992Oct16.050019.25103@noose.ecn.purdue.edu>
  9. Date: Fri, 16 Oct 1992 14:39:27 GMT
  10. Lines: 13
  11.  
  12. In article <1992Oct16.050019.25103@noose.ecn.purdue.edu>  
  13. kavuri@lips.ecn.purdue.edu (Surya N Kavuri ) writes:
  14. >   
  15. >   Can you give me a function on an interval [a b] which is
  16. >   not differentiable anywhere on that interval ?
  17.  
  18. Sure. Let f(x) = 0 if x is irrational, and f(x) = 1 if x is rational.
  19.  
  20. Oh... you probably wanted a *continuous* function. :-)
  21.  
  22. --
  23. Dave Seaman
  24. ags@seaman.cc.purdue.edu
  25.