partial order in a sentence

Examples

1. *An example comes from reversing the direction of inequalities in a partial order.
2. Below are four different Hasse diagrams for this partial order.
3. Not every partial order obeys the transitive law for incomparability.
4. When a partial order is negative, the overall order is usually considered as undefined.
5. The specialization order yields a tool to obtain a partial order from every topology.
6. The permutations for which this partial order is series-parallel are exactly the separable permutations.
7. A group " G " with a partial order is called an ordered group.
8. The defining axioms of effect algebras guarantee that d " is a partial order.
9. In the following, partial orders will usually just be denoted by their carrier sets.
10. It follows that the relation defined in this way is only a partial order.