OOPs' I meant y=:i.5 5

Don
On 18/11/2012 7:04 PM, Don & Cathy Kelly wrote:
That gives the diagonal nicely but the problem that I didn't express clearly is that I want a matrix as follows
   y=:i.5

   ]result =: (* =@i.@#) y
0 0 0 0 0
0 1 0 0 0
0 0 2 0 0
0 0 0 3 0
0 0 0 0 4
which II can get by
 c=:* =@i.@#
   c y
0 0 0 0 0
0 1 0 0 0
0 0 2 0 0
0 0 0 3 0
0 0 0 0 4

For my purposes I can use a base nth order unit matrix by the phrase as given in phrases as m=:=@i.@# y and then deal with m* y1 , m* y2 etc which suits my purpose which is to form a specific Jacobean used for power system load flows. I have handled this problem in APL and am trying to replicate the coding more directly in J-mainly as an exploration of J for my own satisfaction.

Thank you

Don Kelly




On 18/11/2012 6:07 PM, km wrote:
You can get help from Phrases for extracting diagonal elements. See the bottom half of this page:

http://www.jsoftware.com/docs/help701/phrases/special_matrices.htm

Kip Murray

Sent from my iPad


On Nov 18, 2012, at 7:51 PM, Don & Cathy Kelly <d...@shaw.ca> wrote:

This also helped me where I wanted to extract the diagonal elements of an array! I was trying for a neater way to do it but as in the end, I have to do it several times, it appears that it is easier to establish a unit matrix and then use this each time I want to deal with a matrix of the same size rather than using (* =@i.@#) y and repeating for different y or using the cap as you suggest, I can simply define a unit matrix U
and then us U*y as needed.

Still very hit and miss on the multiple ways to skin a cat in J

Don Kelly



On 15/11/2012 9:55 PM, bob therriault wrote:
Hey Vijay,

Nothing wrong with a novice question, especially when it is so clearly phrased.

Take a look at these examples and see if this gives you some ideas.

fact1=: */@:>:@:i.
    fact1 5
120
    fact2=: [:*/>:@:i.
    fact2 5
120
    fact3=: [:*/[:>:i.
    fact3 5
120

You want to have the verbs act sequentially on the argument and your original definition is a fork which has the outside verbs act on the argument and then send the results to the left and the right of the centre verb. (v1 v2 v3) y is actually ((v1 y) v2 (v3 y)). In this case (*/ >: i.) 5 becomes ((*/ 5) >: (i. 5)) and then (5 >: 0 1 2 3 4) which becomes 1 1 1 1 1

A  good reference link would be
http://www.jsoftware.com/jwiki/Guides/Language%20FAQ#Guides.2FLanguage_FAQ.2FSentence_Train.Why_.2B-.2F_.2A:_a_works.2C_but_when_I_say_foo_.3D:_.2B-.2F_.2A:.2C_foo_a_doesn.27t_work.3F

Hope this helps. There is a lot to this language, even when you have been playing with it for a while, so keep at it.

Cheers, bob

On 2012-11-15, at 9:20 PM, Vijay Lulla wrote:

Please forgive me for asking a novice question.

I tried
*/>:i.5   NB. results in 120

But I define
fact=: */>:i.
fact 5  NB. results in 1 1 1 1 1

I remember reading about this somewhere but I cannot seem to find the
relevant pages now. Any pointers as to where I could find these documents
or a brief explanation (which can be easily remembered) will be very
helpful and is highly appreciated.
Thanks,
Vijay Lulla.
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