I would not be the one arguing for empty frame vs zero frame terminology :)
(thanks for providing the context).
Regarding frame, I meant it in the sense that Ken Chakahwata did: "to have
a J definition of that fictitious primitive."
Your executable model can, of course, readily address Ken's question and
other similar questions for specific instances (pointing out, albeit rather
tacitly, that such J definition already existed, was my main reason for
mentioning your article):
rk =. #@$
er =. (0:>.(+rk))`(<.rk) @. (0:<:[)
fr =. -@er }. $@]
cs =. -@er {. $@]
(Y=. i.2 3 4)
0 1 2 3
4 5 6 7
8 9 10 11
12 13 14 15
16 17 18 19
20 21 22 23
3 (er;fr;cs) Y NB. effective rank; frame; cell shape
┌─┬┬─────┐
│3││2 3 4│
└─┴┴─────┘
2 (er;fr;cs) Y NB. effective rank; frame; cell shape
┌─┬─┬───┐
│2│2│3 4│
└─┴─┴───┘
_1 (er;fr;cs) Y NB. effective rank; frame; cell shape
┌─┬─┬───┐
│2│2│3 4│
└─┴─┴───┘
On Sun, Jan 17, 2016 at 11:33 PM, Roger Hui <[email protected]>
wrote:
> I did not define them; Roland Pesch did: Empty Frames in SHARP APL
> <http://www.jsoftware.com/papers/EmptyFrames.htm>, 1986. I did rename
> them
> to "zero frames". Read the 1986 paper and you can decide for yourself
> whether "empty frame" or "zero frame" is the better name.
>
>
>
> On Sun, Jan 17, 2016 at 5:28 PM, Jose Mario Quintana <
> [email protected]> wrote:
>
> > The verb (frame) as well as the Zero Frame concept are defined in [0] by
> > Roger.
> >
> > [0] Rank and Uniformity
> > http://www.jsoftware.com/papers/rank.htm
> >
> > On Sun, Jan 17, 2016 at 7:11 PM, Ken Chakahwata <
> > [email protected]> wrote:
> >
> > > My guess is that it would help if we could imagine that we had a
> > primitive
> > > called 'frame' in the same way as we have one called 'shape' i.e. $
> > > Then one way to get to the precise meaning of frame is to have a J
> > > definition of that ficticious primitive. At a guess, this primitive
> > > requires the 'rank' of the cells in order to then return the
> appropriate
> > > frame.
> > > If we have an array of shape (x,y,z), and we stipulate cells of rank 3,
> > > then the frame is presumably empty? Not sure of this... but anyhow,
> just
> > a
> > > thought...
> > >
> > > Enjoy
> > > ken
> > >
> > > -----Original Message-----
> > > From: Programming [mailto:[email protected]] On
> > > Behalf Of Henry Rich
> > > Sent: 17 January 2016 23:59
> > > To: [email protected]
> > > Subject: Re: [Jprogramming] Definition: Frame of an argument
> > >
> > > The terminology I use is an (x by y by z) array of cells, or an array
> of
> > > cells with frame (x,y,z), emphasizing that the frame is a (part of the)
> > > shape rather than an array.
> > >
> > > Henry Rich
> > >
> > > On 1/17/2016 6:16 PM, Raul Miller wrote:
> > > > Hmm... ok, reviewing
> > > > http://www.jsoftware.com/help/primer/frame_and_cell.htm 'frame' does
> > > > get used that way.
> > > >
> > > > I was thinking of the frame as having a shape rather than being the
> > > shape.
> > > >
> > > > Then again, since you can think of an array as being (for example) an
> > > > (x,y,z) frame of cells, I do not think that my interpretation was
> > > > entirely incorrect, either. So I suppose I have gotten myself into a
> > > > "much ado about nothing" sort of issue.
> > > >
> > > > Thanks,
> > > >
> > >
> > > ----------------------------------------------------------------------
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> > >
> > > ----------------------------------------------------------------------
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> > >
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> ----------------------------------------------------------------------
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