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MathGroup Archive 2002

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Re: Integrating over a Minimum

  • To: mathgroup at smc.vnet.net
  • Subject: [mg32969] Re: Integrating over a Minimum
  • From: Steve Luttrell <luttrell at signal.qinetiq.com>
  • Date: Fri, 22 Feb 2002 01:48:52 -0500 (EST)
  • References: <a526ik$264$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Use the Calculus`Integration` package. Here is how your example would be 
done:

<< Calculus`Integration`

Integrate[Min[x, y], {x, 0, 1}, {y, 0, 1}]

which gives the result 1/3


Steve Luttrell


Moritz Meyer-ter-Vehn <meyerter at pool.uni-mannheim.de> wrote in 
news:a526ik$264$1 at smc.vnet.net:

> Hi,
> 
> I want to integrate piecewise linear functions over a highdimensional
> space. The ranges where the function is linear are given by linear
> inequality constraints.
> 
> Example: Integrate[Min[x,y],{y,0,1},{x,0,1}]
> (of course that is not the one I really want to solve)
> 
> I could not get matematica to do this.
> 
> Moritz Meyer-ter-Vehn



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