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Re: How to integrate a function over a polygon

  • To: mathgroup at smc.vnet.net
  • Subject: [mg123309] Re: How to integrate a function over a polygon
  • From: DrMajorBob <btreat1 at austin.rr.com>
  • Date: Thu, 1 Dec 2011 05:50:35 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com
  • References: <201111291203.HAA05398@smc.vnet.net>
  • Reply-to: drmajorbob at yahoo.com

When I plot that:

Plot3D[{x^2 + y^2, 0}, {x, -3, 3}, {y, -3, 3},
  RegionFunction -> Function[{x, y, z}, 0 < x < 1 && 0 < y <= x]]

I see the 3D surface and, in addition, I see a triangle on the z == 0  
plane marking the region.

I didn't expect the triangle. What am I missing in the documentation?

Bobby

On Wed, 30 Nov 2011 02:20:39 -0600, Andrzej Kozlowski <akoz at mimuw.edu.pl>  
wrote:

>
> On 29 Nov 2011, at 13:03, Mikael wrote:
>
>> In a related question I wonder how one can plot g[x,y] over only the
> 2-dimensional unit simplex.
>
>
> Do you mean something like this:
>
> Plot3D[{x^2 + y^2, 0}, {x, -3, 3}, {y, -3, 3},
>  RegionFunction -> Function[{x, y, z}, 0 < x < 1 && 0 < y <= x]]
>
> ?=
>


-- 
DrMajorBob at yahoo.com



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