The dyad ,&<"r can be used to illustrate rank:

   ] x=: 4 3 2 [EMAIL PROTECTED] 5
0 2
3 4
2 2

0 0
0 3
3 0

0 0
4 1
4 0

1 4
4 3
0 2
   ] y=: 3 2 [EMAIL PROTECTED] 5
4 0
1 2
2 4
   x ,&<"_1 _ y
+---+---+
|0 2|4 0|
|3 4|1 2|
|2 2|2 4|
+---+---+
|0 0|4 0|
|0 3|1 2|
|3 0|2 4|
+---+---+
|0 0|4 0|
|4 1|1 2|
|4 0|2 4|
+---+---+
|1 4|4 0|
|4 3|1 2|
|0 2|2 4|
+---+---+
   x -"_1 _ y
_4  2
 2  2
 0 _2

_4  0
_1  1
 1 _4

_4  0
 3 _1
 2 _4

_3  4
 3  1
_2 _2

Likewise the monad <"r 

   <"_1 x
+---+---+---+---+
|0 2|0 0|0 0|1 4|
|3 4|0 3|4 1|4 3|
|2 2|3 0|4 0|0 2|
+---+---+---+---+
   +/"_1 x
5 8
3 3
8 1
5 9
   <"1 x
+---+---+---+
|0 2|3 4|2 2|
+---+---+---+
|0 0|0 3|3 0|
+---+---+---+
|0 0|4 1|4 0|
+---+---+---+
|1 4|4 3|0 2|
+---+---+---+
   +/"1 x
2 7 4
0 3 3
0 5 4
5 7 2
   


----- Original Message -----
From: Roelof Brouwer <[EMAIL PROTECTED]>
Date: Wednesday, September 5, 2007 7:40
Subject: RE: [Jgeneral] normalize data
To: 'General forum' <[email protected]>

> Thanks. I guess that  -"_1 _     means 
> that subtraction is performed over
> the first dimension of the left argument
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