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"Laconic2" <laconic2_at_comcast.net> wrote in message news:<PsadnVC91J-hxxzdRVn-hA_at_comcast.com>...
> The point is, IMO, that you can project a three dimensional relation (or,
> maybe a third order relation) onto a two dimensional space (rows, columns)
> without loss.
Obviously, and the pattern can be repeated for n-dimensions, allowing n-dimensional datasets to be represented using . The discussion then descends into the physical implementation, which in turn impacts performance in the real world, as you can also represent n-dimensions with flat files !
>
> If it weren't for the capacity of two dimensional tables to capture and
> retrieve data that might be three dimensional or beyond, a star schema
> would be impossible.
Or is it that a star schema is NECESSARY in order to represent n-dimensions using just 2 dimensions ?
>
> In other words, the table has only two dimensions, but the relation is of
> order 3, and therefore can list a (finite) set of points in a three
> dimensional space.
>
> Mathematical relations are not limited to finite cardinality, but I'm
> putting that limitation on the relations in the relational data model. Now
> that I think of it, is this a legitimate limitiation or not? Your
> thoughts.
>
>
In real terms the set of points is obviously finite, simply because of
physical storage & representation limits, but the set of points could
obviously be "arbitrarily large"
>
> Clear as mud?
Received on Sun Apr 18 2004 - 06:14:45 CDT