Woah. This is a much deeper language than I thought. I expected J to be
like Single Assignment C, or Factor but backwards.

Cheers,

Andrew Pennebaker
www.yellosoft.us

On Wed, Nov 2, 2011 at 3:14 PM, bob therriault <[email protected]>wrote:

> Roger,
>
> The other aspect that I find very powerful is that it is that you can
> define what you want the inverse to be using the obverse conjunction (:.).
> Thus the under conjunction (&.)can be non symmetrical if the programmer
> defines a non-symmetrical inverse when creating a verb.
>
> Cheers, bob
>
> On 2011-11-02, at 12:06 PM, Roger Hui wrote:
>
> > It would not be correct.  It signals domain error on a non-invertible
> function.
> >
> >
> >
> > On Wed, Nov 2, 2011 at 11:37 AM, Andrew Pennebaker
> > <[email protected]> wrote:
> >> Would it be correct to say ^:_1 uses memoization?
> >>
> >> If so, when does the memoization happen? Does J memoize the function to
> be
> >> ^:_1'd as soon as the function is defined, or does J wait to do so when
> >> ^:_1 is called?
> >>
> >> What does J do if you try to ^:_1 a non-injective function? Does it just
> >> return the first correct input it encounters?
> >>
> >> Cheers,
> >>
> >> Andrew Pennebaker
> >> www.yellosoft.us
> >>
> >> On Wed, Nov 2, 2011 at 2:23 PM, Roger Hui <[email protected]>
> wrote:
> >>
> >>>> How powerful is J's ^:_1 operator?
> >>> Very.
> >>>
> >>>> How is it implemented?
> >>> Carefully. ☺  It's a giant table look-up.  Some of the inverses were
> >>> put in to impress particular people, lying in wait for years.  (It
> >>> worked!  Worth all the effort and all the waiting because of who it
> >>> was.)
> >>>
> >>> See http://www.jsoftware.com/jwiki/Essays/Under , the raison d'être
> >>> for having inverses.
> >>>
> >>>
> >>>
> >>> On Wed, Nov 2, 2011 at 11:14 AM, Andrew Pennebaker
> >>> <[email protected]> wrote:
> >>>> Fascinating.
> >>>>
> >>>> How powerful is J's ^:_1 operator? How is it implemented?
> >>>>
> >>>> Cheers,
> >>>>
> >>>> Andrew Pennebaker
> >>>> www.yellosoft.us
> >>>>
> >>>> On Wed, Nov 2, 2011 at 10:02 AM, Roger Hui <[email protected]
> >>>> wrote:
> >>>>
> >>>>> It's better to define functions in the form "F from G" rather than "G
> >>>>> to F", because then the argument and result would be adjacent to the
> >>>>> function whose domain/range they are in:
> >>>>>
> >>>>> f =: FfG g
> >>>>> f =: GtF g
> >>>>>
> >>>>>
> >>>>>
> >>>>> On Wed, Nov 2, 2011 at 1:32 AM, Alan Stebbens <[email protected]>
> wrote:
> >>>>>>> How would one parse a hex string back to an integer?
> >>>>>>
> >>>>>> Two ways:
> >>>>>>
> >>>>>> Hard way:
> >>>>>>
> >>>>>>   H2D =: [: +/ 16 1 * '0123456789abcdef' I. ]
> >>>>>>   H2D 'A0'
> >>>>>> 160
> >>>>>>
> >>>>>> Easy way:
> >>>>>>
> >>>>>>   h2d =: d2h ^:_1
> >>>>>>   h2d 'a0'
> >>>>>> 160
> >>>>>>  h2d d2h i.20
> >>>>>> 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
> >>>>>>
> >>>>>>
> >>>>>>
> ----------------------------------------------------------------------
> >>>>>> 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
> >>>>
> >>> ----------------------------------------------------------------------
> >>> 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
>
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
>
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