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Specifying arguments inside nested functions

• To: mathgroup at smc.vnet.net
• Subject: [mg46107] Specifying arguments inside nested functions
• From: koopman at sfu.ca (Ray Koopman)
• Date: Fri, 6 Feb 2004 04:15:32 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

I have two matrices, A and B, that have the same number of columns.
I want to select the rows of A that differ in every position from
every row of B. So I write

   Select[A, And@@Map[Inner[Unequal,#1,#2,And]&, B]& ]

But that won't work, because I have no way to tell Inner that one of
its arguments should be the row of A that is being tested by Select,
and the other argument should be the row of B from Map.

Now, I realize that there are ways around the problem in this
particular case. For instance, the Select test could be

   And@@Map[FreeQ[Rest[#],First[#]]&, Transpose@Prepend[B,#]]&

which checks B a column at a time and might well be more efficient.
However, this is not the first time I've run into the problem of
specifying arguments inside nested functions, and I wonder how other
people handle it. Is there a general solution, or must I always
ad hoc it?

• Follow-Ups:
  • Re: Specifying arguments inside nested functions
    • From: "Sseziwa Mukasa,,(978) 536-2359" <mukasa@jeol.com>