1. In this case no partial order for commitment events can be found. 2. The partial orders of order dimension two include the series-parallel partial orders. 3. Conversely, every cograph is the comparability graph of a series-parallel partial order . 4. The partial orders of order dimension two include the series-parallel partial orders . 5. In other words, iteration is antisymmetric, and thus, a partial order . 6. Since all concepts are symmetric, this operation preserves the theorems of partial orders . 7. Various examples of partial orders appear in lattices and Boolean algebras. 8. A relation that is reflexive, antisymmetric, and transitive is called a partial order . 9. The compare function is included to illustrate a partial order on the states. 10. Directed subsets are used in domain theory, which studies directed complete partial orders .