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Re: Clever way to manipulate lists

  • To: mathgroup at smc.vnet.net
  • Subject: [mg94385] Re: Clever way to manipulate lists
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Thu, 11 Dec 2008 07:26:59 -0500 (EST)
  • References: <ghqjve$14i$1@smc.vnet.net>

Hi,

list1 = {{x1, y1}, {x2, y2}, {x3, y3}, {x4, y4}, {xN, yN}};
list2 = {{x1, z1}, {x3, z3}, {x4, z4}, {xN, zN}}

and

Intersection[list1, list2, SameTest -> (First[#1] === First[#2] &)]

or

Fold[DeleteCases[#1, #2] &, list1,
  Complement[list1, list2, SameTest -> (First[#1] === First[#2] &)]]

??

Regards
   Jens

guerom00 wrote:
> Hi everyone,
> 
> I'm still struggling through lists manipulation. I'll take a concrete
> example to illustrate my point.
> Let's say I have a first list, say coordinates on a regular grid :
> 
> list1={{x1,y1},{x2,y2},{x3,y3}...{xN,yN}}
> 
> This obviously has a Length of N. Now, let's say I have a second list.
> In this one, there are fewer than N elements, some points are
> missing... Let's say it misses a point at x2 :
> 
> list2 ={{x1,z1},{x3,z3},{x4,z4}...{xN,zN}}
> 
> Now, since those two lists are not of the same length, I cannot add
> them, substract them or something. But list2 is included in list1 (in
> the sense of set theory). Now, what I want to do is, in this example,
> remove the point {x2,y2} from list1 and then the two list will have
> the same length and I'll be able to manipulate them as I want.
> Right now, I do that with For loops (detect elements which are in
> list1 and not in list2 and delete them, etc...) and that works but it
> is not elegant.
> I'm looking for a concise, elegant way to do that if somebody sees
> what I mean...
> 
> Thanks in advance :)
> 


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