Finitely convergent deterministic and stochastic iterative methods for solving convex feasibility problems

We propose finitely convergent methods for solving convex feasibility problems defined over a possibly infinite pool of constraints. Following other works in this area, we assume that the interior of the solution set is nonempty and that certain overrelaxation parameters form a divergent series. We combine our methods with a very general class of deterministic control sequences where, roughly speaking, we require that sooner or later we encounter a violated constraint if one exists. This requirement is satisfied, in particular, by the cyclic, repetitive and remotest set controls. Moreover, it is almost surely satisfied for random controls.

     

Über Derivate des 5,5-Diphenyl-glykocyamidins

Zusammenfassung Es wird über die Kondensation von Benzil mit Guanidin, p-Toluolsulfonyl-guanidin und Dicyandiamid berichtet, die zu 5,5-Diphenylglykocyamidinen führt. Der Einfluß der Alkali-Menge und der Reaktionsdauer auf die Richtung der Kondensation werden untersucht. Weiters wird eine strukturbeweisende Zweitsynthese für 5,5-Diphenyl-N_exo-p-toluolsulfonyl-glykocyamidin angegeben.

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Derivatives of 5.5-diphenyl-glycocyamidine

Guanidine, p-toluenesulfonyl-guanidine or dicyandiamide react with benzil to give 5,5-diphenyl-glycocyamidines. The influence of the alkali concentration and the reaction time on the direction of the condensation is investigated. For 5,5-diphenyl-N_exo-p-toluenesulfonyl-glycocyamidine a structure proving synthesis is given.

     

Micro raman spectroscopy on a single carbon fibre under stress

An example is given for the application of Raman spectroscopy in material characterization. Raman spectra of carbonaceous materials obtained with the microscope attachment have been used to study orientation of graphite planes in a single carbon fibre under stress with a lateral resolution of 1 m.Dedicated to Professor Dr. H. Kriegsmann on the occasion of his 70th birthday