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For Hilbert-space operators S, T with S invertible and self-adjoint, Corach, Porta, and Recht recently proved that ‖STS-1+S-1TS‖⩾2‖T‖. A generalization of this inequality to larger classes of operators and norms is obtained as an immediate consequence of Nike Free Run 2 Toronto the operator form of the arithmetic-geometric-mean inequality. Some related inequalities are also discussed.
We treat the sentences in a finite inconsistent knowledge base as assertions that are true with probability at least some primary threshold Cheap Nike Free Shoes ηη and consider as consequences those assertions entailed to have probability at least some secondary threshold ζζ.
By using the structure of the adjacency matrix of a cordial graph, we characterize cordial graphs, then investigate sufficient conditions for NEPS graphs built from cordial graphs to be cordial. A sub-class of cordial graphs, symmetric balanced cordial graphs, is introduced.
We study one-loop soft gluon effects in a scalar quark QCD model of the Drell-Yan process. We find that factorization of the type suggested by Politzer holds at order m2/s, but fails at order m4/s2. We suggest that this pattern holds to higher orders, and that the non-factoring terms are not suppressed by form factors. We compute the non-factoring contributions, and give a classical interpretation of our results.