MathGroup Archive 2009

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: volume calculation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg100262] Re: volume calculation
  • From: Sebastian <meznaric at gmail.com>
  • Date: Fri, 29 May 2009 21:00:20 -0400 (EDT)
  • References: <gvn74b$ets$1@smc.vnet.net>

On May 29, 12:35 am, Filippo Miatto <mia... at gmail.com> wrote:
> Dear all,
> I need a way to find the volume of a multidimensional shape in the  
> coordinates (x1,x2,x3,...,xn), that comes from an inequality like  
> D(x1,x2,x3,...,xn) < L (with 3 variables i get a nice weird shape in  
> R^3, with more i don't plot it)
> In other words I let Mathematica calculate where in the space of the  
> solutions the inequality is solved and i'd like to have the numerical  
> "volume of the solutions".
> What strategy should i use? The function D is not invertible...
> Thank you,
> Filippo
>
> ------------------------------------------------------------
> Mobile (IT):    +39 340 6104269
> Mobile (NL):    +31 064 3949827
> Home (IT):      +39 0438 59360
>
> P.O. Box 9504
> NL 2300 RA LEIDEN
>
> msn:                    dr.zio... at hotmail.com
> skype:                  filippo.miatto
> Quantum Optics
> Group Mail:             mia... at molphys.leidenuniv.nl

Try Monte Carlo integration, that's probably the easiest way to do
high dimensional integrals. Of course this will only work if you are
happy with a numerical result.


  • Prev by Date: TIFF file specification
  • Next by Date: Re: volume calculation
  • Previous by thread: Re: Re: volume calculation
  • Next by thread: Re: volume calculation