Re: distance function

*To*: mathgroup at smc.vnet.net*Subject*: [mg68705] Re: [mg68686] distance function*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Thu, 17 Aug 2006 04:18:12 -0400 (EDT)*Reply-to*: hanlonr at cox.net*Sender*: owner-wri-mathgroup at wolfram.com

pts={{x1,y1},{x2,y2},{x3,y3}}; Norm/@Subtract@@@Subsets[pts,{2}] {Sqrt[Abs[x1 - x2]^2 + Abs[y1 - y2]^2], Sqrt[Abs[x1 - x3]^2 + Abs[y1 - y3]^2], Sqrt[Abs[x2 - x3]^2 + Abs[y2 - y3]^2]} Bob Hanlon ---- dimmechan at yahoo.com wrote: > > In the book of Gaylord et al. (1996) there is one exercise which asks > (see page 113) > > "Given a list of points in the plane, write a function that finds the > set of all distances > between the points." > > Although there is one solution, that solution makes use of the Table > and Length commands. > > Is it a way to define the same function using Higher-Order functions > like Outer, MapThread etc? > > Thanks in advance for any help. >