First, g seemed a bit overly ornate, so I took the liberty of putting it
through a weight loss program:
% 1 :'<}.":(>}.y),(>{.y)u/,>}.y' (i.3) ,&< i:3
% 1 :'<}.":(>}.y),(>{.y)u/,>{:y' (i.3) ,&< i:3
% 1 :'<}.":(>}.y),(>{.y)u/>{:y' (i.3) ,&< i:3
% 1 :'<}.":(>}.y),u/&>/y' (i.3) ,&< i:3
% 1 :'<}.":(],u/)&>/y' (i.3) ,&< i:3
(these all have the same result as a g d)
The phrase U&>/Y would apply the verb U between the contents of the two
boxes of Y (if Y is a pair of boxes). And, in this case, U would be a verb
with the result: "contents of the second box and a u table".
I am more comfortable with the short form than the long form because the
short form leaves me with extra space on the line so I can inspect the rest
of the sentence.
Anyways, note that we can get the top row back by getting rid of the
behead, like this:
% 1 :'<":(],u/)&>/y' (i.3) ,&< i:3
┌──────────────────────────────────┐
│ _3 _2 _1 0 1 2 3│
│ 0 0 0 0 0 0 0│
│_0.333333 _0.5 _1 _ 1 0.5 0.333333│
│_0.666667 _1 _2 _ 2 1 0.666667│
└──────────────────────────────────┘
If you want the top row in a different box from the rest of the rows, you
can replace that leading < with ,.@({.;}.)
Does this help?
Thanks,
--
Raul
On Sat, Nov 9, 2013 at 3:15 AM, Linda Alvord <[email protected]>wrote:
> Thanks. I’m starting to understand things better. Here is my next
> problem.
>
> a=:%
> b=:i:3
> c=:i.3
> d=:(<c),<b
>
> ]M=:":(>}.d),(>{.d)a/,>}.d
> _3 _2 _1 0 1 2 3
> 0 0 0 0 0 0 0
> _0.333333 _0.5 _1 _ 1 0.5 0.333333
> _0.666667 _1 _2 _ 2 1 0.666667
> (<{.M),:<}.M
> ┌──────────────────────────────────┐
> │ _3 _2 _1 0 1 2 3│
> ├──────────────────────────────────┤
> │ 0 0 0 0 0 0 0│
> │_0.333333 _0.5 _1 _ 1 0.5 0.333333│
> │_0.666667 _1 _2 _ 2 1 0.666667│
> └──────────────────────────────────┘
>
> f=: 1 :'":(>}.y),(>{.y)u/,>}.y'
> a f d
> _3 _2 _1 0 1 2 3
> 0 0 0 0 0 0 0
> _0.333333 _0.5 _1 _ 1 0.5 0.333333
> _0.666667 _1 _2 _ 2 1 0.666667
>
> g=: 1 :'<}.":(>}.y),(>{.y)u/,>}.y'
> a g d
> ┌──────────────────────────────────┐
> │ 0 0 0 0 0 0 0│
> │_0.333333 _0.5 _1 _ 1 0.5 0.333333│
> │_0.666667 _1 _2 _ 2 1 0.666667│
> └──────────────────────────────────┘
>
> I want to modify g so that it attaches the top row with correct spacing
> as shown above.
>
> Linda
>
>
> -----Original Message-----
> From: [email protected] [mailto:
> [email protected]] On Behalf Of Raul Miller
> Sent: Friday, November 08, 2013 7:57 AM
> To: hProgramming forum
> Subject: Re: [Jprogramming] Times Table Therapy
>
> http://www.jsoftware.com/help/dictionary/cret.htm explains that return.
> exits an explicit definition.
>
> http://www.jsoftware.com/help/dictionary/d521.htm explains that the
> result of {. is the leading item of an array (which means one dimension
> less than the table).
>
> I'll presume that I do not need to document "behead" but just in case some
> of the younger readers are curious:
> http://www.jsoftware.com/help/dictionary/d531.htm
>
> Thanks,
>
> --
> Raul
>
>
>
> On Fri, Nov 8, 2013 at 3:26 AM, Linda Alvord <[email protected]
> >wrote:
>
> > What does return. Mean?
> >
> > Also:
> >
> > a=:*
> > b=:i:5
> > c=:i.3
> > d=:(<c),<b
> >
> > c */b
> > 0 0 0 0 0 0 0 0 0 0 0
> > _5 _4 _3 _2 _1 0 1 2 3 4 5
> > _10 _8 _6 _4 _2 0 2 4 6 8 10
> >
> > (>{.d)
> > 0 1 2
> > >}.d
> > _5 _4 _3 _2 _1 0 1 2 3 4 5
> >
> > (>{.d) */ >}.d
> > 0 0 0 0 0 0 0 0 0 0 0
> >
> > _5 _4 _3 _2 _1 0 1 2 3 4 5
> >
> > _10 _8 _6 _4 _2 0 2 4 6 8 10
> >
> > $ (>{.d) */ >}.d
> > 3 1 11
> >
> > So:
> >
> > (>{.d) */, >}.d
> > 0 0 0 0 0 0 0 0 0 0 0
> > _5 _4 _3 _2 _1 0 1 2 3 4 5
> > _10 _8 _6 _4 _2 0 2 4 6 8 10
> >
> > Why is ({.c) a list and (}.d) a table?
> >
> > Linda
> >
> >
> > -----Original Message---
> > From: [email protected] [mailto:
> > [email protected]] On Behalf Of Raul Miller
> > Sent: Thursday, November 07, 2013 10:07 AM
> > To: Programming forum
> > Subje.ct: Re: [Jprogramming] Times Table Therapy
> >
> > We can replace
> > g=: 1 :',.(":u),":,.>{.y'
> > with
> > g=: 1 :',.(":5!:5<''u''),":,.>{.y'
> >
> > A problem is that u is a verb in your example, and you want a noun
> > representation of it.
> >
> > But this runs into a problem:
> >
> > g=: 1 :',.(":5!:5<''u''),":,.>{.y'
> > * g (<i.3),<i.5
> > |value error: y
> > | ,.(":5!:5<'u'),":,.>{. y
> >
> > We need an unquoted reference to u (or one of the other such names), or x
> > and y are interpreted to mean u and v.
> >
> > So:
> >
> > g=: 1 :',.(":5!:5<''u''),":,.>{.y return. u'
> > * g (<i.3),<i.5
> > *
> > 0
> > 1
> > 2
> >
> > Does this make sense?
> >
> > --
> > Raul
> >
> >
> >
> > On Wed, Nov 6, 2013 at 11:07 PM, Linda Alvord <[email protected]
> > >wrote:
> >
> > > This the data I want to use:
> > >
> > > a=:*
> > > b=:i:5
> > > c=:i.3
> > > ]d=:(<c),<b
> > > ┌─────┬──────────────────────────┐
> > > │0 1 2│_5 _4 _3 _2 _1 0 1 2 3 4 5│
> > > └─────┴──────────────────────────┘
> > >
> > > This this is the correct result with the wrong data:
> > >
> > > a=:'*'
> > > f=: 1 :',.(":u),":,.>{.y'
> > > a f d
> > > *
> > > 0
> > > 1
> > > 2
> > >
> > > Here is the error I can’t fix:
> > > a=:*
> > > g=: 1 :',.(":u),":,.>{.y'
> > > a g d
> > > |domain error: a
> > > | ,. (":u),":,.>{.y
> > >
> > >
> > > Is there a way to make g work correctly?
> > >
> > > Linda
> > >
> > >
> > > -----Original Message-----
> > > From: [email protected] [mailto:
> > > [email protected]] On Behalf Of Roger Hui
> > > Sent: Sunday, November 03, 2013 7:02 PM
> > > To: Programming forum
> > > Subject: Re: [Jprogramming] Times Table Therapy
> > >
> > > > My first adverb! Linda
> > >
> > > Given the topic and the person, it seems appropriate to point out that
> > Ken
> > > Iverson credited Linda Alvord for getting over a pedagogic hurdle.
> > > From *Kenneth
> > > E. Iverson <http://www.jsoftware.com/papers/autobio.htm>*, 2008,
> section
> > > 5:
> > >
> > > There were also surprises in the writing. Although the great utility
> of
> > > matrices was recognized (as in a 3-by-2 to represent a triangle), there
> > was
> > > a great reluctance to use them because the concept was considered to be
> > too
> > > difficult.
> > >
> > > Linda Alvord said to introduce the matrix as an outer product — an idea
> > > that the rest of us thought outrageous, until Linda pointed out that
> the
> > > kids already knew the idea from familiar addition and multiplication
> > tables.
> > >
> > >
> > >
> > >
> > > On Sun, Nov 3, 2013 at 7:04 AM, Linda Alvord <[email protected]
> > > >wrote:
> > >
> > > >
> > > > My first adverb! Linda
> > > >
> > > ----------------------------------------------------------------------
> > > 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
