Hi Bob,

I hope this doesn't confuse the situation more (and I hope i am right in this 
information), but it is worth keeping in mind that the adverb Insert (/), 
inserts the verb between the ITEMS of whatever argument it is working on. So 
/"1 works on lists and inserts the verb between atoms, /"2 works on blocks and 
inserts its verb between lists. This means that /"1 will total a row and /"2 
will total the columns. 

*"1/ on the other hand applies * between lists (as long as the argument items 
are of rank 1, remember the verb is now *"1 but the / adverb still applies the 
verb between items of its argument). Henry Rich's chapter 6 in J for C 
programmers is really a good read for how ranks work. 
Link: 
http://www.jsoftware.com/help/jforc/loopless_code_i_verbs_have_r.htm#_Toc191734331

Hope that helps. 

cheers, bob
 
On -Apr29-2010, at -Apr29-20101:38 PM, Robert O'Boyle wrote:

> II have come across a feature of J that I didn't expect. When I add rows of
> a matrix, I use +/"1 
> 
>   a
> 
> 1 2 3 4
> 
> 1 2 3 4
> 
> 1 2 3 4
> 
> 
> 
>   +/"1 a
> 
> 10 10 10
> 
> 
> 
> And columns,
> 
>  +/"2 a
> 
> 3 6 9 12
> 
> 
> 
> By chance, I happened to 'misplace' insert and got an unexpected result
> 
> 
> 
>   +"1/a
> 
> 3 6 9 12
> 
> 
> 
> which is the addition of the columns. However, 
> 
> 
> 
>   +"2/ a
> 
> 3 6 9 12
> 
> 
> 
> Now take another matrix b
> 
>   b
> 
> 1 1 1 1
> 
> 2 2 2 2
> 
> 3 3 3 3
> 
> 4 4 4 4
> 
> 
> 
> I would like to multiply every row of b by every row of a, but 
> 
> 
> 
>   a*/"1 b
> 
> |length error
> 
> |   a    */"1 b
> 
> 
> 
> While 
> 
> 
> 
>   a*"1 / b
> 
> 1 2  3  4
> 
> 2 4  6  8
> 
> 3 6  9 12
> 
> 4 8 12 16
> 
> 
> 
> 1 2  3  4
> 
> 2 4  6  8
> 
> 3 6  9 12
> 
> 4 8 12 16
> 
> 
> 
> 1 2  3  4
> 
> 2 4  6  8
> 
> 3 6  9 12
> 
> 4 8 12 16
> 
> 
> 
> Which appears to work.
> 
> 
> 
> I am obviously missing something with rank and insert. Could someone
> enlighten me? Any insight is much appreciated, as always.
> 
> 
> 
> Bob
> 
> 
> 
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