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MathGroup Archive 2006

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Re: Any simple way to flatten all but the bottom level?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg72341] Re: Any simple way to flatten all but the bottom level?
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Tue, 26 Dec 2006 07:02:55 -0500 (EST)
  • Organization: Uni Leipzig
  • References: <emb4dh$950$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de

Hi,

myFlattenAux[a_] /; Depth[a] <= 2 := a
myFlattenAux[a_List] := Sequence @@ myFlattenAux /@ a
myFlatten[a_] := {myFlattenAux[a]}

Regards
   Jens

dontdont at gmail.com wrote:
> Am I overlooking something I should be able to see?
> 
> When I Nest Table I sometimes produce things like this
> 
> {{0, 0, 0}, {{0, 0, 13}, {0, 1, 9}, {0, 2, 5}, {0, 3, 1}}, {{1, 0, 4},
> {1, 1, 0}}}
> 
> where each triple is actually one solution I'm looking for.
> But I don't see a simple way to transform this result into
> 
> {{0, 0, 0}, {0, 0, 13}, {0, 1, 9}, {0, 2, 5}, {0, 3, 1}, {1, 0, 4}, {1,
> 1, 0}}
> 
> I would have guessed there would be a way to coax Flatten to do this.
> 
> Thus far I haven't found what looks like a good method.
> I have found a few awkward and bad ways but no simple clean way.
> 
> Would anyone enlighten me?
> 
> thanks
> 


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