On Thu, Dec 19, 2013 at 7:50 PM, Don Kelly <[email protected]> wrote:
> en a
> 2.23607
> en b
> 10.7703
> en b-a
> 8.544
> en a,b
> 11 which, as far as I can see is meaningless.
Recap:
'a b'=:1j2 4j10
|a
2.23607
|b
10.7703
|b-a
8.544
|a,b
2.23607 10.7703
And:
|@j.&|/"1 a,b
11
So, basically yes a,b in the context of |@j.&|/"1 represents finding
the length of a vector with the four orthogonal dimensions 1 2 4 10
That might be meaningful if you were dealing with intervals. Maybe 1
foot north, 2 feet west, 4 feet up and 10 nanoseconds?
http://en.wikipedia.org/wiki/Nanosecond. Or maybe someone is building
a puzzle game involving four dimensional space. I'm not sure if I can
make this into a meaningful example out of orthogonal polynomials.
(But if the orthogonal numbers were all between 0 and 1 I expect that
it would be easier to find meaningful interpretations - perhaps
involving statistics, for example.)
Thanks,
--
Raul
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