If you insist in a version of

 (=&{: |.)

with caps then you'll have to use something like this
(written out version)

LAT=: 13 :'( {: x ) = {:  |. y'

   LAT
([: {: [) = [: {: [: |. ]

Then insert this into my cleaned code (thanks to Raul):

zlav=:[: ;([: < LAT"1 # (, }.)"1)"1 _

   A zlav B
0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2

   zlav f.
[: ; ([: < (([: {: [) = [: {: [: |. ])"1 # (, }.)"1)"1 _



On 22-10-12 03:46, Linda Alvord wrote:
Check your message below, Raul, which indicate that both m and n should work on 
your new version:

    i=:[: ;([: < (=&{: |.)"1 # (, }.)"1)"1 _
    i
[: ; ([: < (=&{: |.)"1 # (, }.)"1)"1 _
    A i B
0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2
m=: 13 :';x ([:< (([:={: :[:) |.)"1 # (, }.)"1)"1 _ y'
    m
[: ; ([: < (([: = {: :[:) |.)"1 # (, }.)"1)"1 _
    A m  B
|domain error: m
|   A     m B
    n=: 13 :';x ([:< (([:={: :[:) |.)"1 # (, }.)"1)"1 _ y'
    n
[: ; ([: < (([: = {: :[:) |.)"1 # (, }.)"1)"1 _
    A n  B
|domain error: n
|   A     n B
Spacing of [:={: similar to =&{: would be geat.
    So I could write an explicit definition of  o  that will have the following 
result and produce the correct result that  i  does.
    o=:
[: ;  ([: < ([:={: |.)"1 # (, }.)"1)"1 _


-----Original Message-----
From: programming-boun...@forums.jsoftware.com 
[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Raul Miller
Sent: Saturday, October 20, 2012 12:19 PM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] stitching matrices

If you actually wanted to only be using monadic definitions for f and g, these 
would be equivalent definitions:

  f=: =&{: :[:

g=: ([:={:) :[:

Here, you would be declaring that these verbs have empty dyadic domains.

You could even get away with

g=: [:={: :[:

(Do you see why?)

--
Raul

On Sat, Oct 20, 2012 at 2:57 AM, Linda Alvord <lindaalv...@verizon.net> wrote:
I am using them monadically.

Linda

-----Original Message-----
From: programming-boun...@forums.jsoftware.com
[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of km
Sent: Saturday, October 20, 2012 2:54 AM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] stitching matrices

Identical?

    f =: =&{:
    g =: [:={:
    1 4 f 2 3 4
1
    1 4 g 2 3 4
|domain error: g
|   1 4     g 2 3 4

Kip Murray

Sent from my iPad


On Oct 20, 2012, at 1:11 AM, "Linda Alvord" <lindaalv...@verizon.net> wrote:

Here's a problem that bothers me about this example before I leave it.



First establish that  =&{:  and  [:={:  are identical and compare
tree and boxed versions:





    ]'A B'=:3|L:0(([:<i.)"1)3 5,:5 4

----------T-------┐
│0 1 2 0 1│0 1 2 0│
│2 0 1 2 0│1 2 0 1│
│1 2 0 1 2│2 0 1 2│
│         │0 1 2 0│
│         │1 2 0 1│
L---------+--------

   f=:=&{:

   g=:[:={:

   5!:4 <'f'

      -- =
-- & -+- {:

   5!:4 <'g'

  -- [:
--+- =
  L- {:

   B

0 1 2 0
1 2 0 1
2 0 1 2
0 1 2 0
1 2 0 1

   f B

1 0 0 1
0 1 0 0
0 0 1 0

   g B

1 0 0 1
0 1 0 0
0 0 1 0



Now look at two "trees":



   elm=: 13 :'((=&{:)|.)"1 y'

   oak=: 13 :'(([:={:)|.)"1 y'

   5!:4 <'elm'

                -- =
          -- & -+- {:
      ----+- |.
-- " -+- 1

   5!:4 <'oak'

               -- [:
          -----+- =
      ----+    L- {:
-- " -+   L- |.
      L- 1

   5!:2 <'elm'

--------------T-T-┐
│---------T--┐│"│1│
││--T-T--┐│|.││ │ │
│││=│&│{:││  ││ │ │
││L-+-+---│  ││ │ │
│L--------+---│ │ │
L-------------+-+--

   5!:2 <'oak'

---------------T-T-┐
│----------T--┐│"│1│
││---T-T--┐│|.││ │ │
│││[:│=│{:││  ││ │ │
││L--+-+---│  ││ │ │
│L---------+---│ │ │
L--------------+-+--

   B

0 1 2 0
1 2 0 1
2 0 1 2
0 1 2 0
1 2 0 1

   elm B

1 1 1 1 1

   oak B

ran with error:
|domain error: oak
|       oak B
|[-16] c:\users\owner\j701-user\temp\42.ijs



I'm not troubled by the fact that these results are different. I am
bothered that their differences do not appear in the tree and boxed
version, because I expect them both to be elm trees!



If these versions don't show any differences shouldn't the results
agree.  I think the tree versions must be missing some way to tell them apart.



Any thoughts?



Linda



Linda







-----Original Message-----

From:  <mailto:programming-boun...@forums.jsoftware.com>
programming-boun...@forums.jsoftware.com

[ <mailto:programming-boun...@forums.jsoftware.com>
mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Raul
Miller

Sent: Friday, October 19, 2012 9:30 AM

To:  <mailto:programm...@jsoftware.com> programm...@jsoftware.com

Subject: Re: [Jprogramming] stitching matrices



On Fri, Oct 19, 2012 at 4:00 AM, Linda Alvord <
<mailto:lindaalv...@verizon.net> lindaalv...@verizon.net>

wrote:

   G B
1 1 1 1 1
   H B
ran with error:
|domain error: H
|       H B
|[-30] c:\users\owner\j701-user\temp\37.ijs

G WORKS!  H DOESN'T!

How can I write the function  H  without & and get 1 1 1 1  ?


Here's G B

   ((=&{:)|.)"1 $~&5 4 i.3

1 1 1 1 1



Here, I rephrase G by eliminating the &

   (({:@[ = {:@])|.)"1 $~&5 4 i.3

1 1 1 1 1



Note that I am testing the result at each step, here, to make sure
I've not made any bad assumptions (for example, hypothetically
speaking some intermediate results in these kinds of transformations
might need some explicit treatment of rank).



Here, I further rephrase G by also eliminating both of the @
conjunctions

   ((([: {: [) = ([: {: ]))|.)"1 $~&5 4 i.3

1 1 1 1 1



Here, I simplify slightly by using a hook

   (((([: {: [) = ]) {:)|.)"1 $~&5 4 i.3

1 1 1 1 1



Here, I simplify again by using a cross hook

   (((= {:)~ {:) |.)"1 $~&5 4 i.3

1 1 1 1 1



Good enough?



Thanks,



--

Raul

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