To Henry:

My apologies, the worst part is that I noticed the misspelling but I
neglected to correct it; I guess watching the playoffs and writing to
the forum do not mix very well.

To Linda:

That is a nice feature; thanks for sharing it. One refreshing thing
about J is that one never seems to stop learning it. Moreover, if one
follows the forums and this one in particular one is shown (or
reminded) how capable the J system really is.

On Mon, Jan 14, 2013 at 3:10 AM, Linda Alvord <[email protected]> wrote:
> Jose, Here's a simper version. Using the aspect ratio helps make the
> derivative more obvious.  I use Chrome and I don't know how this will look
> elsewhere.
>
> Load 'plot'
> u=: -:
> v=: *:
> Y=:_2 + 0.5 * i.9
> f=: 13 :'(] ; [:|:u@v d._2 _1 0 1 2 )y'
> f
> plot f Y
> 'aspect 1'plot f Y
>
> Linda
>
> -----Original Message-----
> From: [email protected]
> [mailto:[email protected]] On Behalf Of Linda Alvord
> Sent: Sunday, January 13, 2013 9:21 PM
> To: [email protected]
> Subject: Re: [Jprogramming] atop continues to puzzle me
>
>    load'plot'
>
>    u=: -:
>    v=: *:
>    Y=: _2 + 0.01 * i.401
>    f=: 13 :'(] ; [:|:u@v d._2 _1 0 1 2 )y'
>    f
> ] ; [: |: u@v d._2 _1 0 1 2
>    plot f Y
>
> If this is in a  jijs  and then run, it will shw the graph you expect bu t
> it will provide a long J error message in a separate window.  I don't know
> how to prevent it.
>
> Also, maybe when  u@v  can be replaced by  ([:u v)"v  that will work also.
>
> Linda
>
>
> -----Original Message-----
> From: [email protected]
> [mailto:[email protected]] On Behalf Of Jose Mario
> Quintana
> Sent: Sunday, January 13, 2013 5:17 PM
> To: [email protected]
> Subject: Re: [Jprogramming] atop continues to puzzle me
>
> To Raul:
>
>> I have no idea what "works reasonably well" means.
>
> That is a very subjective statement, apparently one can make use of
> (@) and (@:) within the scope of (d.) but, of course, that depends on one's
> point of view.
>
>> But consider also:
>>
>> AT=: 2 :0
>> u@v"v
>> )
>>
>> +:AT*: d. 1
>> 0 4x&p."0 0 0
>> +:@*: d. 1
>> 0 4x&p.
>
> This also happens for (at) and I was trying to point it out this difference
> in my first message:
>
> "
>> Rather works almost exactly?
>>
>>    ('*'"_) @ ((+: @ *:) (d.1)) (0 1 2)
>>  *
>>     ('*'"_) @ ((+: at *:) (d.1)) (0 1 2)
>>  ***
>>
>>    ((+: @ *:) (d.1)) b.0
>>  _ _ _
>>     ((+: at *:) (d.1)) b.0
>>  0 0 0
> "
>
> However, (d.) also treats differently (at) and (AT)!  (See below.)
>
>>
>> In both cases the rank of the left argument of d. is the same. So what
>> we see here is that the rank of the result of d. depends on something
>> other than the rank of its arguments. Have you found any documentation
>> that describes the rank of the results of the d.
>> conjunction?
>
> No, hence the words "seems arbitrary" in
>
>> and (@:) works reasonably well, although the rank change from 0 to _
>> seems arbitrary, but it stumbles for (at) and ([:),
>
> To Linda:
>
>> Jose, I'm working on your plot program and I found a ray of hope...
>
> Raul's (AT), unlike (at), does the job of plotting the functions:
>
>    plot @: (] ; |: @: ((u AT v) d. _2 _1 0 1 2)) Y
>
> although in a different fashion, at least for the fixed version according to
> the interpreter:
>
>    plot @: (] ; |: @: ((u AT v)f. d. _2 _1 0 1 2)) Y
>    plot @: (] ; |: @: ((u @ v)f. d. _2 _1 0 1 2)) Y
>
>    (u AT v)f. d. _2 _1 0 1 2
> (0 0 0 0 1r24&p."0 0 0 , 0 0 0 1r6&p."0 0 0 , -:@*:"0 0 0 , ["0 0 0 ,
> 1"0"0 0 0)"0
>    (u @ v)f. d. _2 _1 0 1 2
> (0 0 0 0 1r24&p. , 0 0 0 1r6&p. , -:@*: , [ , 1"0)"0
>
> Although so far it has not been confirmed, there is plenty of evidence that
> (d.) attracted some bugs; Raul's (at) and ([:) do not work well in this
> context but they should have worked.
>
> It seems to me that you would like to use  (2 : '([: u v)"v') instead of (@)
> because the former is more clear to you. But I would like to second Henri's
> advice, if you understand (2 : '([: u v)"v')  then you understand (@).  Why
> would you like then to use a long hand, so to speak, instead of a short hand
> (besides, as this thread shows, (@) is more reliable)?  Similar comments,
> but to lesser extent, apply to ([:) vs. (@:).
>
> ________________________________________________________________________
>
> On Sun, Jan 13, 2013 at 12:06 PM, Raul Miller <[email protected]> wrote:
>> On Sun, Jan 13, 2013 at 10:26 AM, Linda Alvord
>> <[email protected]>
> wrote:
>>> It seems to need  d."0  but I can't seem to figure how to do it.
>>
>> You can use "0 on the result of d.  For example:
>>
>> (d. 1) (" 0)
>>
>> I do not think  you should have to do this, but it works.
>>
>> --
>> Raul
>> ----------------------------------------------------------------------
>> For information about J forums see http://www.jsoftware.com/forums.htm
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
>
> ----------------------------------------------------------------------
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