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