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Re: Numerical implicit function plotting

  • Subject: [mg974] Re: Numerical implicit function plotting
  • From: edg at (Ezra Greenberg)
  • Date: Thu, 4 May 1995 05:44:31 -0400
  • Apparently-to: mathgroup-send at
  • Organization: University of Maryland College Park

In <3nv9vq$9g8 at>, Zorro <berriz at> writes:
>Hi.  I have a smooth function f(x,y,z), such that for all (x,y) within
>some rectangular region S, a unique z exists such that f(x,y,z) = 0.
>I would like to have Mathematica *numerically* plot this implicit
>function on S, but I can't figure out how to do it.  I've looked in my
>Mathematica documentation without success (maybe I'm not looking in
>the right places).  Is it possible to do this in Mathematica?  If yes,
>where can I read up on it?
>Thanks in advance!
Perhaps ineffient, but you can create a table Table[{x,y, z /. FindRoot[...]},...]
and then do a ListPlot.  (Note that you will probably have to "Flatten" the
list before you plot).

Ezra D. Greenberg 
Department of Economics
University of Maryland at College Park
edg at

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