Nonsense. Assume the 4&$. refers to all 1's and one gets something useful.
Make a specific fill item or items the other argument to the custom
conjunction and it's all good, actually it's a one-sided inverse.
------------------------------------------------------------------------
|\/| Randy A MacDonald   | APL: If you can say it, it's done.. (ram)
|/\| [EMAIL PROTECTED]  |
|\ |                     | The only real problem with APL is that
BSc(Math) UNBF'83        | it is "still ahead of its time."
Sapere Aude              |     - Morten Kromberg
Natural Born APL'er      | Demo website: http://156.34.82.188/
-----------------------------------------------------(INTP)----{ gnat }-

----- Original Message ----- 
From: "Roger Hui" <[EMAIL PROTECTED]>
To: "Programming forum" <[email protected]>
Sent: Saturday, February 03, 2007 2:21 PM
Subject: Re: [Jprogramming] Spare Matrix from Index Matrix


> For all the following arrays the non-zero elements
> are the same, viz., 1 , and 4$.s are also the same,
> viz., i.4 1
>    s0=: (2;0)$.4 5$1
>    s1=: (2;0)$.4 7$1
>    s2=: $. 4$1
>    s3=: (2;1)$.7 4$1
>    s4=: (2;0)$. 100 200{.4 5$1
> but there is no way to recover s from 4$.s .
>
> 4$.s is not invertible.
>
>
>
> ----- Original Message -----
> From: ramacd <[EMAIL PROTECTED]>
> Date: Saturday, February 3, 2007 9:05 am
> Subject: Re: [Jprogramming] Spare Matrix from Index Matrix
>
> > True, if an assumption is missing about the non-zero element. I
> > suggest 1.
>
>
>
> > ----- Original Message ----- 
> > From: "Roger Hui" <[EMAIL PROTECTED]>
> > To: "Programming forum" <[email protected]>
> > Sent: Saturday, February 03, 2007 10:07 AM
> > Subject: Re: [Jprogramming] Spare Matrix from Index Matrix
> >
> >
> > > 4$.s is not invertible.
> > >
> > >
> > >
> > > ----- Original Message -----
> > > From: ramacd <[EMAIL PROTECTED]>
> > > Date: Saturday, February 3, 2007 6:07 am
> > > Subject: Re: [Jprogramming] Spare Matrix from Index Matrix
> > >
> > > > It seems Roger is a mortal;
> > > >
> > > >   s=: ?4 4$2
> > > >   (4&$.)^:_1 (4 $. s)
> > > > |domain error
> > > >   (4&$.)^:_1(4 $.s)
> > > >
> > > > ...or is my copy of J too old?
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
>

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