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