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Felicis@gmail.com science forum beginner
Joined: 19 Jul 2006
Posts: 4

Posted: Thu Jul 20, 2006 2:26 pm Post subject:
Re: My prime research.



Quote:  What I am also curious is to find ways to describe how this space gets
populated. Also i am interested about finding other metrics that are
easy to calculate in many dimensions.
angle would be one, may not be very intersting in this case though.

I don't know clearly a pair of numbers relatively prime would be
perpendicular, and any smaller angle would be related somehow to their
common factors...
Isn't there already a body of work on infinite dimensional spaces?
Would that be applicable here?
cheers
Eric 

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Virgil science forum Guru
Joined: 24 Mar 2005
Posts: 5536

Posted: Thu Jul 20, 2006 7:38 pm Post subject:
Re: My prime research.



In article <1153379629.843727.98080@m73g2000cwd.googlegroups.com>,
Felicis@gmail.com wrote:
Quote:  Hi there
I think the poster's idea was to represent natural numbers as vectors
of the radices of their prime factorisation. an Idea I've encountered
before  not sure where.
I recently came upon this same idea on:
http://mathworld.wolfram.com/ExponentVector.html
from the discussion about Dixon's factorization method. I was
interested in the idea of an exponent vector as a friend had thought up
the idea while we were in college and I hadn't thought it would be of
any use! (Of course he came up with it independently, and long after
it had already been used... Oh well, still, it was a good excuse to
call him up and chat about old times...)
Anyways perhaps that is where you saw it?
cheers
Eric

Would it be proper to regard these as 'vectors', when the set of
allowable "scalars" would be only the set of natural numbers and not
even a ring, much less a field? 

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