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Forum index » Science and Technology » Math » Recreational
My prime research.
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Felicis@gmail.com
science forum beginner


Joined: 19 Jul 2006
Posts: 4

PostPosted: Thu Jul 20, 2006 2:26 pm    Post subject: Re: My prime research. Reply with quote
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

PostPosted: Thu Jul 20, 2006 7:38 pm    Post subject: Re: My prime research. Reply with quote
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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