Some nice things learned: ?~ instead of (?]).

Bo: is it true that (3$3) is not a list of integers but (3#3) is?

Fascinating discussion on ?/... so much intricatness.

Mike

On Thu, Nov 8, 2012 at 11:12 PM, Linda Alvord <lindaalv...@verizon.net>wrote:

> The dawn finally broke.  It's a deal!
>
>     3 10 4 ? 10 10 10
> 8 2 5 0 0 0 0 0 0 0
> 4 1 0 9 3 7 6 8 5 2
> 9 0 1 8 0 0 0 0 0 0
>
>     3 10 4 ?/ 10 10 10
> 6 0 5 0 0 0 0 0 0 0
> 9 5 0 0 0 0 0 0 0 0
> 2 6 1 0 0 0 0 0 0 0
>
> 8 4 9 5 6 1 3 0 2 7
> 9 3 5 8 0 6 4 7 1 2
> 1 6 8 0 4 2 5 3 9 7
>
> 1 9 5 7 0 0 0 0 0 0
> 3 9 8 0 0 0 0 0 0 0
> 1 3 7 0 0 0 0 0 0 0
>
> So:
>
>    8 8 8 8 8 ? 8 8 8 8 8
> 0 1 7 6 5 3 4 2
> 0 7 3 2 5 1 4 6
> 5 0 7 6 4 1 3 2
> 6 1 5 7 3 0 2 4
> 4 7 3 5 6 0 2 1
>
> There is only one zero in each row.
>
> It is nice when the fog lifts.  Thanks to everyone who helped me.
>
>    f=:0 = # ? #
>    5 f 8
> 0 0 0 0 0 1 0 0
> 0 0 0 0 0 0 1 0
> 0 0 1 0 0 0 0 0
> 0 0 0 0 0 0 0 1
> 0 0 0 0 0 1 0 0
>
> 5!:4 <'f'
>   -- 0
>   +- =
> --+   -- #
>   L---+- ?
>       L- #
>
>
> Quite a pretty picture.
>
> Linda
>
>
>
> -----Origineal Message-----
> From: programming-boun...@forums.jsoftware.com
> [mailto:programming-boune...@forums.jsoftware.com] On Behalf Of Peter B.
> Kessler
> Sent: Thursday, November 08, 2012 9:24 PM
> To: programm...@jsoftware.comn
> Subject: Re: [Jprogramming] Arc consistency in J
>
> The shape of the arguments to the verb that's being inserted is 3x4, so
> when
> that verb returns an atom, as dyadic + does, the shape of the result is
> 3x4.
> But dyadic ? (Deal[1]) doesn't return an atom: it returns a list of the
> number of items of its left argument.  So for each of the 3x4 applications
> of dyadic ? returns a list of 3 elements, so the shape of the result is
> 3x4x3.  There's probably a more official way to say that, but that's my
> model of J, so far.
>
> It might be slightly less confusing to use arguments that aren't also the
> shapes of those arguments.  E.g.,
>
> The left argument is a list of length 2, and the right argument is a list
> of
> length 4, so there are 2x4 pairs between each of which is inserted a Deal.
> Each Deal chooses 3 items from i. 6 without replacement.
>
>        3 3 ?/ 6 6 6 6
>     5 0 2
>     3 5 0
>     1 4 5
>     1 0 3
>
>     0 3 2
>     0 5 2
>     1 2 4
>     3 0 1
>
> so the shape of the result is 2x4x3.
>
>        $ 3 3 ?/ 6 6 6 6
>     2 4 3
>
> Does that seem less odd?
>
>                         ... peter
>
> [1] http://www.jsoftware.com/help/dictionary/d640.htm
>
> Linda Alvord wrote:
> >    f=: 13 :'0=?~ x#y'
> >    f
> > 0 = [: ?~ #
> >
> > Maybe someday I'll just write expressions like yours easily.....   The
> idea
> > seems so simple now.
> >
> > However, I discovered this oddity:
> >
> >     3 3 3 +/ 4 4 4 4
> > 7 7 7 7
> > 7 7 7 7
> > 7 7 7 7
> >
> >    3 3 3 ?/ 4 4 4 4
> > 3 2 1
> > 1 3 0
> > 2 3 1
> > 3 2 1
> >
> > 2 3 1
> > 2 1 3
> > 1 3 0
> > 1 0 2
> >
> > 2 0 3
> > 0 3 1
> > 0 1 3
> > 2 3 1
> >
> > This seems odd:
> >
> > Linda
> >
> > -----Original  Message-----
> > From: programming-boun...@forums.jsoftware.com
> > [mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Bo
> > Jacoby
> > Sent: Thursday, November 08, 2012 4:46 AM
> > sTo: programm...@jsoftware.com
> > Subject: Re: [Jprogramming] Arc consistency in J
> >
> > Linda, stick to integer arithmetic:
> >    5 (0=[:?~#) 8
> > 0 0 0 0 0 0 1 0
> > 1 0 0 0 0 0 0 0
> > 0 0 1 0 0 0 0 0
> > 0 0 0 1 0 0 0 0
> > 0 0 0 0 0 1 0 0
> > - Bo
> >
> >
> >
> >
> >> ________________________________
> >> Fra: Linda Alvord <lindaalv...@verizon.net>
> >> Til: programm...@jsoftware.com
> >> Sendt: 10:10 torsdag den 8. november 2012
> >> Emne: Re: [Jprogramming] Arc consistency in J
> >>
> >>    ee=:(]%2) > ?~@$
> >>    ee
> >> 0.5 > ?~@$
> >>    ff=: 13 :'0.5 > ?~x$y'
> >>    ff
> >> 0.5 > [: ?~ $
> >>    5 ff 8
> >> 0 0 0 0 1 0 0 0
> >> 0 0 0 0 0 0 0 1
> >> 0 0 0 0 1 0 0 0
> >> 0 1 0 0 0 0 0 0
> >> 0 0 1 0 0 0 0 0
> >>
> >> J is so smart, it eliminate the need for  *
> >>
> >>    hh=: 13 :' ?~x$y'
> >>    hh
> >> [: ?~ $
> >>    ]A=:5 hh 8
> >> 4 7 1 6 0 5 3 2
> >> 4 2 3 1 5 7 0 6
> >> 7 3 5 4 1 2 6 0
> >> 5 3 2 4 1 7 6 0
> >> 2 5 4 0 3 6 7 1
> >>    0.5 > A
> >> 0 0 0 0 1 0 0 0
> >> 0 0 0 0 0 0 1 0
> >> 0 0 0 0 0 0 0 1
> >> 0 0 0 0 0 0 0 1
> >> 0 0 0 1 0 0 0 0
> >>
> >> Mind boggling!
> >>
> >> Linda
> >>
> >>
> >> -----Original Message-----
> >> From: programming-boun...@forums.jsoftware.com
> >> [mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Devon
> >> McCormick
> >> Sent: Wednesday, November 07, 2012 12:56 PM
> >> To: J-programming forum
> >> Subject: Re: [Jprogramming] Arc consistency in J
> >>
> >> At first glance, I thought the right tine of this fork
> >>    (2 %~ ]) > [: (? ]) $
> >> could be replaced by an idiom I frequently use
> >>    (?@$)
> >> but then realized that what we need is
> >>    (?~@$)
> >> so "dd" can be written as
> >>    (]%2) > ?~@$
> >>
> >>
> >> On Wed, Nov 7, 2012 at 1:31 AM, Michal D.
> > <michal.dobrog...@gmail.com>wrote:
> >>> Thanks Roger, that makes sense now.  The history of J is one of it`s
> >>> intriguing aspects for sure.
> >>>
> >>> Re: Linda: I would call it a v(erb) as opposed to a N(oun).  But
> >>> what do I know? ;-)
> >>>
> >>> Mike
> >>>
> >>> On Tue, Nov 6, 2012 at 8:53 AM, Roger Hui
> >>> <rogerhui.can...@gmail.com>
> >>> wrote:
> >>>
> >>>> 'noun verb verb' is a fork and is interpreted as 'noun"_ verb verb'
> >>> (noun"_
> >>>> is a constant verb whose result is noun).
> >>>> http://keiapl.org/anec/#nvv
> >>>>
> >>>> 'verb verb noun' can not be made into a fork because 'verb noun'
> >>>> already has an interpretation (*viz*., apply verb to noun).
> >>>>
> >>>>
> >>>> On Tue, Nov 6, 2012 at 8:47 AM, Michal D.
> >>>> <michal.dobrog...@gmail.com
> >>>>> wrote:
> >>>>>> Change from a Noun to a verb, view its tacit version and apply it
> >>>>>> to
> >>>>> data:
> >>>>>>      dd=: 13 :'(y%2) > (?]) x$y'
> >>>>>>
> >>>>>>      dd
> >>>>>> (2 %~ ]) > [: (? ]) $
> >>>>>>
> >>>>> That is quite cool.  I'm surprised that you can automatically get
> >>>>> the
> >>>> tacit
> >>>>> definition.  Does this work for any explicitly defined verb?
> >>>>>
> >>>>> I'm also surprised at the way %~ came out.  Do left hand arguments
> >>>>> not require a & to bind the argument?  It is strange to me that
> >>>>> (1) works
> >>> but
> >>>>> (2) does not.  It seems to me that (3) is the logical way to
> >>>>> phrase
> >>>> either
> >>>>> of them (ie. a fork with a constant right / left side).  To
> >>>>> reiterate,
> >>>> why
> >>>>> does (1) work?
> >>>>>
> >>>>> (1)    (2 %~ ]) > [: (? ]) $
> >>>>> (2)    (] % 2) > [: (? ]) $
> >>>>> (3a)   (2: %~ ]) > [: (? ]) $
> >>>>> (3b)   (] %~ 2:) > [: (? ]) $
> >>>>> (4a)   (%&2 ]) > [: (? ]) $      NB. incorrect (hook caught me
> >>>>> out
> >>>> again)!
> >>>>> (4b)   ([: %&2 ]) > [: (? ]) $   NB. correct
> >>>>>
> >>>>> Cheers,
> >>>>>
> >>>>> Mike
> >>>>> -----------------------------------------------------------------
> >>>>> -
> >>>>> ---- For information about J forums see
> >>>>> http://www.jsoftware.com/forums.htm
> >>>>>
> >>>> -------------------------------------------------------------------
> >>>> -
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> >>>> http://www.jsoftware.com/forums.htm
> >>>>
> >>> --------------------------------------------------------------------
> >>> -
> >>> - For information about J forums see
> >>> http://www.jsoftware.com/forums.htm
> >>>
> >>
> >>
> >> --
> >> Devon McCormick, CFA
> >> ^me^ at acm.
> >> org is my
> >> preferred e-mail
> >> ---------------------------------------------------------------------
> >> - For information about J forums see
> >> http://www.jsoftware.com/forums.htm
> >>
> >> ---------------------------------------------------------------------
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> >> http://www.jsoftware.com/forums.htm
> >>
> >>
> >>
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