Sentence examples for iii factor from inspiring English sources

(iii) Factor Nodes Common for Both Signal and Phase Space  .

A simpler necessary and sufficient condition is given in the type III factor case.

As an application, we describe the flow of weights of the crossed product of a type III factor by some special action of a discrete Kac algebra.

The coagulation work-up did not show any factor V Leiden or prothrombin gene G20210A mutations, and protein C, protein S, antithrombin III, factor VIII and homocysteine levels were normal.

In May of 2008, the results of the phase III Factor VIIa for Acute Hemorrhagic Stroke Trial (FAST) were published.

RNA-Seq analysis revealed numerous such intergenic changes adjacent to Pol III factor binding sites in the tfc6 mutants.

These results thus extend those established by C. Barnett and T. J. Lyons (1985, Math. Proc. Cambridge Philos. Soc). to include certain type III factors.

Applying these results, we obtain several properties of the Ocneanu ultraproduct of type III factors, which are not present in the tracial ultraproducts.

The structural analysis of type III factors and the canonical extension of endomorphisms introduced by Izumi are our main technical tools.

We classify compact abelian group actions on injective type III factors up to conjugacy, which completes the final step of classification of compact abelian group actions on injective factors.

In addition, a complete characterization of when one normal operator is in the closed similarity orbit of another normal operator will be given for unital, simple, purely infinite C⁎-algebras and type III factors with separable predual.