Cogenerators for convex spaces

We give cogenerators for the categories of convex (= finitely superconvex), finitely positively convex, and absolute convex (= finitely totally convex) spaces introduced by Pumplün and Röhrl.Dedicated to our academic teacher Dieter Pumplün on the occasion of his sixtieth birthday.     

Evaluation of quadrature schemes for the discrete ordinates method

After reviewing the presently available quadrature schemes for the discrete ordinates method, the accuracy of different schemes is analyzed and evaluated. It is shown from a comprehensive error analysis that the moment conditions have to satisfied not only for the principal coordinates directions, as it is mostly carried out, but for any arbitrary test direction. Among the schemes with approximately 50 discrete ordinates the DCT-020-2468 quadrature was found to give the best accuracy. The highest accuracy among all schemes is achieved by the LC-11 quadrature which requires 96 discrete ordinates. This scheme is rarely used up to date and deserves more attention for high accuracy predictions.     

Reaktion an Polymerisationen und Polymerisationsinitiatoren. 16. Mitt. Einfluß von Thioxo-Gruppen in Barbitursäurederivaten auf die Polymerisationsauslösung von Methacrylsäuremethyl-ester

Ohne Zusammenfassung     

Preparation of peptide-like bicyclic lactams via a sequential Ugi reaction--olefin metathesis approach

Bicyclic lactams, suitable for incorporation into conformationally restricted peptide mimics, can be synthesized by using olefinic starting materials for the Ugi multicomponent reaction, setting up an olefin metathesis reaction, that is easily carried out with the Grubbs catalyst. The influence of the different starting materials is evaluated. In addition, the utilization of chiral, nonracemic amines is described.