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MathGroup Archive 2005

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Re: Question about Plotting with boundary constriants

  • To: mathgroup at smc.vnet.net
  • Subject: [mg58248] Re: Question about Plotting with boundary constriants
  • From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
  • Date: Fri, 24 Jun 2005 02:50:16 -0400 (EDT)
  • Organization: The Open University, Milton Keynes, England
  • References: <d9e0pk$gce$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

HUAFANG CUI wrote:
> Hi,
> 
> I have a question about plotting a 3d graph with some boundary constraints.
> 
> for example,
> 
> feasible area of function f(x, y) is 0 <= x <= 1 and 0 <= y <= 1-x.
> 
> Thanks alot.
> 
> HC
> 
Hi,

Have a look at the functions *Boole* (if you have Mathematica 5.1) or 
*UnitStep*. For example

First we define a function of two variables, say

In[1]:=
f[x_, y_] := Sin[x]^2 + Cos[y]

Then we plot it with your boundary conditions

In[2]:=
Plot3D[f[x, y]*Boole[0 <= y <= 1 - x], {x, 0, 1}, {y, -1, 1}];

Best regards,
/J.M.


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