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Re: Manipulating list

  • To: mathgroup at
  • Subject: [mg101544] Re: [mg101486] Manipulating list
  • From: "David Park" <djmpark at>
  • Date: Thu, 9 Jul 2009 02:01:09 -0400 (EDT)
  • References: <208967.1247052114442.JavaMail.root@n11>


First, let's change your second list to use small case letters. Mathematica
always uses an initial capital for its own symbols and by starting our
symbols with small case letters we know we won't inadvertently use a
built-in Mathematica symbol. Specifically, in Mathematica I stands for the
unit imaginary number.

list1 = {{a, b, c}, {d, e, f}, {g, h, i}};
list2 = {{1, 2}, {3, 4}, {5, 6}};

Then we can combine your two list by the following:

MapThread[Prepend[#2, Last[#1]] &, {list1, list2}]
{{c, 1, 2}, {f, 3, 4}, {i, 5, 6}}

MapThread is a functional programming command. If you haven't seen these
before they are a little difficult at first but well worth learning because
they are so nice. MapThread generates elements of a new list by working
itself through the two lists by pairs. Look it up in Help.

Prepend[#2, Last[#1]] & is a pure function (Look up Function in Help) that
instructs Mathematica how to combine the elements of the two lists. #1
stands for an element from the first list, {a,b,c} say, and #2 stands for an
element from the second list, {1,2} say. So Prepend[{1,2},Last[{a,b,c}]
gives {c,1,2} etc.

David Park
djmpark at  

From: kosal lee [mailto:leekosal at] 

Hello Mathematica users

I am new to Mathematica and I have one particular problem I would like you
to help me.
Suppose I have two lists:

    list1 = {{A,B,C},{D,E,F},{G,H,I}}
    list2 = {{1,2},{3,4},{5,6}}

I want to have the third elements in each of member list in list1 (that is,
C,F,I) to appear in the first position in each member list in list2

that is, i want to have  list ={{C,1,2},{F,3,4},{I,5,6}}

 Thank you.

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