Titlebook: Completeness and Reduction in Algebraic Complexity Theory; Peter Bürgisser Book 2000 Springer-Verlag Berlin Heidelberg 2000 NP-completenes

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Separation Results and Future Directions,asses: VP is strictly contained in VQP, but VQP is not contained in VNP. These separations are proven by means of specific .-families. Finally, we establish a connection between Valiant’s model and the Blum-Shub-Smale model, and outline possible directions for deepening our understanding of this connection.

altruism

,Valiant’s Algebraic Model of NP-Completeness,scuss various closure properties of the complexity classes VP and VNP, in particular closedness with respect to factors. We also prove the important result on the efficient parallelization of straight-line programs due to Valiant, Skyum, Berkowitz, and Rackoff. As an application, we deduce the compl

Esophagitis

Some Complete Families of Polynomials, If the edge weights are interpreted as independent probabilities, then the first function gives the expected number of random spanning subgraphs . of . having property ., whereas the second one yields the probability that . has property .. Our goal is to study the complexity of the families of gene

Instrumental

Fast Evaluation of Representations of General Linear Groups,dapted basis (Gelfand-Tsetlin basis). We complement this by a lower bound, which shows that our algorithm is optimal up to a factor .. with regard to nonscalar complexity. Our algorithm can be used for the fast evaluation of special functions: for instance, we obtain an O(ℓlogℓ) algorithm to evaluat

Trypsin

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malapropism

lisation of the potentially harmful effects on the patients’ normal tissues so that safe dosage systems for applying treatment to patients were formulated. Satisfactory radium systems were developed in the bigger European centres in Paris and Stockholm and modified into a very satisfactory internationally usable form in Manchester (Tod 1947).

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植物学

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