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MathGroup Archive 2006

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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.
> 


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