I need to look into this in some detail before I can determine the
usefulness of your proposal.
1) I suspect that further investigation might lead to better
characterization of F.
2) I have to figure out how to interpret L and W as you have suggested since
I was looking at scalar values originally.

Anyways, thanks for this suggestion Raul.

On Fri, Feb 26, 2010 at 12:27 PM, Raul Miller <[email protected]> wrote:

> On Fri, Feb 26, 2010 at 2:42 PM, Yuvaraj Athur Raghuvir
> <[email protected]> wrote:
> > 0: l1 F w1 (Outdoors - Sunny)
> > 1: l1 F w2 (Outdoors - Rainy)
> > 2: l2 F w1 (Porch - Sunny)
> > 3: l2 F w2 (Porch - Rainy)
> > 4: l3 F w1 (Indoors - Sunny)
> > 5: l3 F w2 (Indoors - Rainy)
> >
> > and
> >
> > (l1 F w1) > (l2 F w1) > (l3 F w2) > (l3 F w1) > (l2 F w2) > (l1 F w2)
>
> With this characterization, we could define
> l1=: Outdoors=: 1 0 0
> l2=: Porch=: 0 1 0
> l3=: Indoors=: 0 0 1
>
> w1=: Sunny=: 1 0
> w2=: Rainy=: 0 1
>
> M=: 3 2$0
> g=: <@,&I.
> NB. M=: M (l1 g w2)}~ 0  NB. unnecessary
> M=: M (l2 g w2)}~ 1
> M=: M (l3 g w1)}~ 2
> M=: M (l3 g w2)}~ 3
> M=: M (l2 g w1)}~ 4
> M=: M (l1 g w1)}~ 5
> F=: +/ .* M&(+/ .*) NB. or F=: {&M@<@,&I.
>
> L=: l1,l2,:l3
> W=: w1,:w2
>
> With these definitions:
>   L F"1/ W
> 5 0
> 4 1
> 2 3
>
> Which should not be very surprising because
>    M
> 5 0
> 4 1
> 2 3
>
> and L and W are identity matrices.
>
> If F (or L or W) need to have other qualities,
> this might not be a good approach.  So I have
> to ask:  is this useful to you?
>
> Thanks,
>
> --
> Raul
> ----------------------------------------------------------------------
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>
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