What definition of & is applied here?
s=: 4 :'(],(<x)`:6/)&>/y'
'%' s (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
How does it work? I did find an explanation for `6/ but I can't find it again.
Linda
-----Original Message-----
From: [email protected]
[mailto:[email protected]] On Behalf Of Raul Miller
Sent: Wednesday, November 13, 2013 7:38 AM
To: Programming forum
Subject: Re: [Jprogramming] Times Table Therapy
Would
'%' 1 :'(m;,.>{.y),.({.;}.)":(],(<m)`:6/)&>/y' (i.3);i:3 or
'%' 4 :'(x;,.>{.y),.({.;}.)":(],(<x)`:6/)&>/y' (i.3);i:3
be acceptable?
The part to the right of the ": is essentially the same thing as your A.
But note that I prefer to leave both the top and bottom boxes on the right
formatted (where you only left the top box formatted).
Thanks,
--
Raul
On Wed, Nov 13, 2013 at 3:27 AM, Linda Alvord <[email protected]>wrote:
> Thanks Raul. Here's the finished function. I would like not to include
> A . Any ideas:
>
> a=:'%'
> b=:i:3
> c=:i.3
> d=:c;b
>
> T=: 1
> :'(,.(<":u),<":,.>{.y),.(<{.":A),:<}.[A=:(>}.y),".(":,>{.y),(u,,''/''),":,>}.y'
> a T d
> ┌─┬──────────────────────────────────┐
> │%│ _3 _2 _1 0 1 2 3│
> ├─┼──────────────────────────────────┤
> │0│ 0 0 0 0 0 0 0│
> │1│_0.333333 _0.5 _1 _ 1 0.5 0.333333│
> │2│_0.666667 _1 _2 _ 2 1 0.666667│
> └─┴──────────────────────────────────┘
>
> '>.' T (i:4);i:4
> ┌──┬─────────────────────┐
> │>.│_4 _3 _2 _1 0 1 2 3 4│
> ├──┼─────────────────────┤
> │_4│_4 _3 _2 _1 0 1 2 3 4│
> │_3│_3 _3 _2 _1 0 1 2 3 4│
> │_2│_2 _2 _2 _1 0 1 2 3 4│
> │_1│_1 _1 _1 _1 0 1 2 3 4│
> │ 0│ 0 0 0 0 0 1 2 3 4│
> │ 1│ 1 1 1 1 1 1 2 3 4│
> │ 2│ 2 2 2 2 2 2 2 3 4│
> │ 3│ 3 3 3 3 3 3 3 3 4│
> │ 4│ 4 4 4 4 4 4 4 4 4│
> └──┴─────────────────────┘
>
>
> Linda
>
> -----Original Message-----
> From: [email protected] [mailto:pro
> [email protected]] On Behalf Of Raul Miller
> Sent: Saturday, November 09, 2013 8:45 AM
> To: Programming forum
> Subject: Re: [Jprogramming] Times Table Therapy
>
> 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
> > > > ------------------------------------------------------------------
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> > > >
> > > --------------------------------------------------------------------
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> > >
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