Yes -you have it. Actually there are many real problems which could be
considered as having more than 4 dimensions. A load flow for a power
system (for which all quantities are expressed as complex) may have, in
some cases, well over 1000 variables-i.e the 'dimensions' .
Don.
On 19/12/2013 5:57 PM, Raul Miller wrote:
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,
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