Donna:

I finally get your point: see below.  Sorry it has taken so long.

> dly wrote:
> Anyway, some methods to approach such problems involve building a
> simplex plateau as for general problems but with only integer
> elements and this property must be maintained at each iteration.
> INTEGER not RATIONAL, but if you are forced at some step to say
> divide 111 by 333 you might want to keep the result as 111r333 and go
> on until a later step where you can get back into an Integer.  You
> are best to consult the literature as this is getting quite long and
> I don't seem to be making it clear.
>

This corresponds to converting a matrix to Smith normal form over the
integers, versus diagonalizing it over the rationals.  I agree that one
might think of this as the difference between 111r333 and 1r3, but it does
not really have to do with computer representation of rationals: it is
more that the integers form a principal ideal domain while the rationals
do not.  However, I do get what you are driving at.


Best wishes,

John


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