[Jprogramming] Constant functions

Roger Hui rhui000 at shaw.ca
Mon Feb 15 08:38:56 HKT 2010


Your phrase brings to mind a phrase to generate
the binomial coefficients

   (0&, + ,&0)^:(i.10) 1
1 0  0  0   0   0  0  0 0 0
1 1  0  0   0   0  0  0 0 0
1 2  1  0   0   0  0  0 0 0
1 3  3  1   0   0  0  0 0 0
1 4  6  4   1   0  0  0 0 0
1 5 10 10   5   1  0  0 0 0
1 6 15 20  15   6  1  0 0 0
1 7 21 35  35  21  7  1 0 0
1 8 28 56  70  56 28  8 1 0
1 9 36 84 126 126 84 36 9 1

This is among the earliest J phrases ever written.
See frame Gc in the  Appendix of
http://www.jsoftware.com/papers/J1990.htm



----- Original Message -----
From: Zsbán Ambrus <ambrus at math.bme.hu>
Date: Sunday, February 14, 2010 9:44
Subject: Re: [Jprogramming] Constant functions
To: Programming forum <programming at jsoftware.com>

> On Sun, Feb 14, 2010 at 6:14 PM, Tracy Harms 
> <kaleidic at gmail.com> wrote:
> >   (0: , ] , 0:)
> >   (0 , ] , 0:)
> >   (0 ,~ 0 , ])
> >   (0 , 0 ,~ ])
> 
> Don't forget ([: 0&, ,&0)
> 
> Ambrus


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