A partial order is a binary relation, ≤, on a set, X if and only if it is reflexive, transitive and antisymmetric. For the Datum Universe, the binary relation is “is” and the set X is the set of all datums in the universe. Let us consider each property of the partial order as it pertains to the datum universe.
Notice that datums that are related to datum a by the “is” relation are all datums in a’s extended Class or Value sets. This means that all other datums outside these two sets are not “comparable” to datum a. This is why the datum universe is a partial order and not a total order.
Now let us consider the following poset concepts in the datum universe:
A quick tutorial to the Datumtron API. Providing code to query a converted MS-Northwind database and showing a datamining example.
A brief introduction to the Datum Universe Model which is the theory behind the Datumtron API.