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MathGroup Archive 2005

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Distance from point to set

  • To: mathgroup at smc.vnet.net
  • Subject: [mg55273] Distance from point to set
  • From: Piotr Kowalski <pkowalsk at ibspan.waw.pl>
  • Date: Fri, 18 Mar 2005 05:33:49 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello,

I would like to compute distance d(x,A) from a point 'x' to a set 'A',
(all in R^n, where n=2 or n=3) that is:

   d(x,A) = min ||x - a|| (forall a in A)
   where: n=2 or n=3,
          x is point in R^n, A is subset of R^n
          ||  || is norm (euclidean, max, etc).

Can I find Mathematica function or package for such problem ?

Thank you in advance,
P. Kowalski


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