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3d plot's of function's domain

• To: mathgroup at smc.vnet.net
• Subject: [mg63109] 3d plot's of function's domain
• From: "A D'Ignazio" <est1900 at hotmail.com>
• Date: Thu, 15 Dec 2005 03:06:21 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Dear MathGroup,

I would be very grateful if you could help me on this:

I got a function of three variables f(x,y,z). I want to get a 3d plot of the
region A in R^3 such that for any vector of values (x,y,z) in A the function
f is positive. I'm only able to solve this problem in a basic way: I fix one
of the three variables -let's say z=Z -and then I get the 3d plot of the
function f(x,y| z=Z), get the contour plot and define the region of
interest. I can do it for several values of Z, but i think it is not very
elegant.

There is a way to obtain directly the 3d plot of the variables space such 
that the condition of f(.) being positive is satisfied?

Many thanks

A D

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• Follow-Ups:
  • Re: 3d plot's of function's domain
    • From: "Carl K. Woll" <carlw@wolfram.com>