Is a "multiplcative partition" just a factorization?

How about this:

sage: def mp(n):
....:     return [(d,n//d) for d in n.divisors()]
....:
sage: mp(12)
[(1, 12), (2, 6), (3, 4), (4, 3), (6, 2), (12, 1)]

where of course you could eliminate the cases d=1, d=n and so on.

John

On 23/01/2008, Brian Granger <[EMAIL PROTECTED]> wrote:
>
> Hi,
>
> I am working on a parallel/distributed array library for
> python/ipython.  For this library I need to be able to compute the
> multiplicative partitions of positive integers:
>
> 12 => (2,6), (3,4)
>
> A few questions about this:
>
> 1) Is there a good algorithm for computing these.  I can think of
> silly ways of doing it, but I imagine there are more efficient ways.
>
> 2) Does anyone know of a implementation of such an algorithms (python, c, 
> etc.)
>
> 3) Does anyone know of a BSD license compatible (please don't shoot me
> :) ) implementation.  Because these distributed arrays are being
> developed as a part of ipython, it needs to be BSD.
>
> Thanks!
>
> Brian
>
> >
>


-- 
John Cremona

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