Hmmm. When you say "atoms", did you mean individual elements of a an
array?

Because I tried it out with a simple sum across:
   i. 3 5
 0  1  2  3  4
 5  6  7  8  9
10 11 12 13 14

A normal sum across would give me the sum of the columns
   +/ i. 3 5
15 18 21 24 27

Doing it with rank 0 would not compute. I assumed that the verb was
applied on each element as you've explained
   +/ "0 i. 3 5
 0  1  2  3  4
 5  6  7  8  9
10 11 12 13 14

Using rank 1 would actually give me a total of each rows
   +/ "1 i. 3 5
10 35 60

This is consistent with your explanation.

Still, I am a bit bewildered on when to use rank 0. What clues or hints
or a guideline should remind me that it's the time to use it? Rank 1 is
very easy because I've easily associated it with the concept that it's
like transposing. 
Example:
   +/ "1 i. 3 5
10 35 60
   +/ |: i. 3 5
10 35 60
   
It never even occurred to me that my problem could use it.

-----Original Message-----
From: [EMAIL PROTECTED]
[mailto:[EMAIL PROTECTED] On Behalf Of Oleg Kobchenko
Sent: Tuesday, July 01, 2008 4:47 PM
To: Programming forum
Subject: RE: [Jprogramming] Formatting then Boxing a vector

It's actually the other way around: rank-0 is atoms or
columns of matrix, and rank-1 is vectors or rows of matrix.

The reason you might have thought of rank-1 as columns is
because it makes verb seem to operate on cells collectively aligned
into columns, as in  {."1 A  will return first column, whereas
it actually returns list of first cell in each row--so it
applies the verb to rows.

This confusion may have resulted from APL axes.

See J Forums for example,
http://www.jsoftware.com/pipermail/programming/2006-June/002509.html


--- On Tue, 7/1/08, Alex Rufon <[EMAIL PROTECTED]> wrote:

most likely I misunderstand it. I only use rank 1 when I try to apply a
verb on the column level of a two dimension matrix. I assume (from what
I've read so far) that rank zero is the rows of a two dimension matrix
and is assumed that its there and is omitted.



      
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