[To finish up with your other examples]
The final two cases, 4]\9 7 6 and 5]\9 7 6 each return
zero rows because that is how many 4-wide and 5-wide
windows you have.
On 7/1/07, Devon McCormick <[EMAIL PROTECTED]> wrote:
Tracy -
the leftmost number you supply in each of these examples defines
the size of the window on which to apply the function "]".
Working backwards a bit since I think it's easier to understand,
2 ]\9 7 6
is equivalent to (]9 7),:(]7 6). That is, the function is applied to
(2{.9 7 6), then to (2{.1}.9 7 6), then we run out of 2-wide windows
to which to apply the function, so we stop.
Looking at
1]\9 7 6
it works analogously, equivalent to (]9),(]7),:]6, or applied to
(1{.9 7 6), then to (1{.1}.9 7 6), then to (1{.2}.9 7 6) at which point
we run out of 1-wide windows so we stop.
The initial example you give is slightly puzzling, but, as best I can
figure, the case
0]\9 7 6
returns a result with shape "4 0" because the function is applied to
an initial 0-wide window as well as to three more 0-wide windows
corresponding
to each of the three elements of the right argument. That is, it is
applied to
(0{.9 7 6), then to (0{.1}.9 7 6), then to (0{.2}.9 7 6), and finally to
(0{.3}.9 7 6) at
which point there are no more 0-wide windows.
Hope this helps.
Devon
On 7/1/07, Tracy Harms <[EMAIL PROTECTED]> wrote:
>
> Perhaps some well-informed commentary could spark some
> comprehension for me as to why the following
> applications of infix (\) have the results they do:
>
> 0 ]\ 9 7 6
>
>
>
>
> $0 ]\ 9 7 6
> 4 0
> 1 ]\ 9 7 6
> 9
> 7
> 6
> $1 ]\ 9 7 6
> 3 1
> 2 ]\ 9 7 6
> 9 7
> 7 6
> $2 ]\ 9 7 6
> 2 2
> 3 ]\ 9 7 6
> 9 7 6
> $3 ]\ 9 7 6
> 1 3
> 4 ]\ 9 7 6
> $4 ]\ 9 7 6
> 0 4
> $5 ]\ 9 7 6
> 0 5
>
> Sorry to say, I'm at a loss as to the relationship
> between input and output, for these. I see a
> geometric pattern across x values 1 through 3, but I
> can't generalize it.
>
> (Both conjugate (+) and same (]) operate identically
> for noncomplex values; I've written these examples
> using same.)
>
>
>
>
>
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--
Devon McCormick, CFA
^me^ at acm.
org is my
preferred e-mail
--
Devon McCormick, CFA
^me^ at acm.
org is my
preferred e-mail
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