It is 18 November, so below is my solution Table to Linda's challenge. 
It is the same as Raul's.  However, it does not handle extreme cases 
well, and I leave it as a further challenge to repair Table.

The difficulty:

    1 Table 2 3
+-+------+
| |2     |
+-+------+
|1| 3 3 4|
+-+------+

    1 2 Table 3
+-+----+
| |3   |
+-+----+
|1| 4 5|
|2|    |
+-+----+

Flawed solution to Linda's puzzle:

    Over
[: ({. ; }.) [: ": ,

    By
(' ' ; [: ,. [) ,. ]

    Table
[ By ] Over +/

    Table f.
[ ((' ' ; [: ,. [) ,. ]) ] ([: ({. ; }.) [: ": ,) +/

    a Table b
+-+-------+
| |0 1 2 3|
+-+-------+
|2|2 3 4 5|
|3|3 4 5 6|
|5|5 6 7 8|
+-+-------+

Over and Bye can produce any operation table, but Table can only produce 
addition tables.

    a By b Over a */ b
+-+---------+
| |0 1  2  3|
+-+---------+
|2|0 2  4  6|
|3|0 3  6  9|
|5|0 5 10 15|
+-+---------+


-------- Original Message --------
Subject: [Jprogramming] table  challenge in simple J
Date: Sun, 13 Nov 2011 20:51:50 -0500
From: Linda Alvord <[email protected]>
Reply-To: Programming forum <[email protected]>
To: 'Programming forum' <[email protected]>

In the dictionary in the section on "Verbs and Adverbs" there are two
definitions designed to produce a table:



        over=:({.;}.)@":@,

        by=:' '&;@,.@[,.]

       a=: 2 3 5

       b=: 0 1 2 3

     a by b over a +/ b

--T-------┐

│ │0 1 2 3│

+-+-------+

│2│2 3 4 5│

│3│3 4 5 6│

│5│5 6 7 8│

L-+--------



Here is the challenge.  Use the arguments a and b and define a single tacit
function in "simple J" that does not use  @  and provides the same result.



     a table b

--T-------┐
│ │0 1 2 3│
+-+-------+
│2│2 3 4 5│
│3│3 4 5 6│
│4│4 5 6 7│
L-+--------



To give a little time for thought, do not post a solution until November
18th. I'll post mine then too.



Linda

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