Re: Distance from point to set

*To*: mathgroup at smc.vnet.net*Subject*: [mg55307] Re: Distance from point to set*From*: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>*Date*: Sat, 19 Mar 2005 04:45:09 -0500 (EST)*Organization*: Uni Leipzig*References*: <d1eblq$ek7$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Hi, distanceToSet[pnt_, pset_] := Min[Sqrt[#.#] &[# - pnt] & /@ pset] and pointSet = Table[Random[], {10}, {2}]; pnt = {-2, 2}; distanceToSet[pnt, pointSet] Regards Jens "Piotr Kowalski" <pkowalsk at ibspan.waw.pl> schrieb im Newsbeitrag news:d1eblq$ek7$1 at smc.vnet.net... > 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 >