| 1. | Thus absolute continuity induces a partial ordering of such equivalence classes.
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| 2. | This defines a partial ordering on the set of all square matrices.
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| 3. | The output is a total ordering that corresponds to the given partial ordering.
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| 4. | Chemistry, the central science, partial ordering of the sciences proposed by Balaban and Klein.
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| 5. | In particular, \ sigma is a partial ordering on the set of vertices V ( G ) of G.
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| 6. | The relation d " introduced in this way defines a partial ordering from which the binary operation'" may be recovered.
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| 7. | This is a partial ordering of ! 2 under which two points are comparable only if they lie on the same horizontal line.
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| 8. | Partial orderings on such events have been axiomatized in the Actor model and their relationship to physics explored ( see Actor model theory ).
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| 9. | As a first simple example, let 1 = { * } be a specified one-element set with the only possible partial ordering.
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| 10. | The payoff set can thus be partially ordered, where the partial ordering comes from the value of each entry in the N-tuple.
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