Zur Kenntnis der Vorgänge,welche in einem Kaolin bei allmählich ansteigender Erhitzung in Gegenwart von Luft und anderen Fremdgasen stattfinden

Ohne Zusammenfassung 121. Mitteilung H. Kappel und G. F. Hüttig, Kolloid-Z.91, 117 (1940); 119. Mitteilung G. F. Hüttig und H. Kappel, Angew. Chem.53, 57 (1940). Wir sind der Deutschen Forschungsgemeinschaft und dem Reichsamt für Wirtschaftsausbau zu gro?em Danke verpflichtet, da? sie uns durch ihre Unterstützung erm?glichten, die vorliegenden Untersuchungen zum Abschlu? zu bringen.     

Holzuntersuchungen

Ohne Zusammenfassung     

Über Kapillar-Systeme XII (3). Die Kugelschraube als Strukturelement homogener und heterogener Kugelpackungen

Ohne Zusammenfassung     

Application of J(C,H) coupling constants in conformational analysis

Conformational equilibria for a number of methyl substituted 1,3-dioxanes 1, 1,3-oxathianes 2 and 1,3-dithianes 3 were calculated at the HF and DFT levels of theory. In addition to the chair conformers also the energetically adjacent twist conformers were considered and the positions of the corresponding conformational equilibria estimated. On the basis of the global energy minima of conformers, participating in the conformational equilibria, the ¹J_C,Hax,equ coupling constants were calculated using the GIAO method and compared with the experimental values obtained from ¹³C,¹H coupled ¹³C NMR spectra. The Perlin effect, the influence of the solvent and the suitability of this NMR parameter for assigning the conformational equilibria present are critically discussed.     

High dimensional integration of smooth functions over cubes

Summary. We construct a new algorithm for the numerical integration of functions that are defined on a -dimensional cube. It is based on the Clenshaw-Curtis rule for and on Smolyak's construction. This way we make the best use of the smoothness properties of any (nonperiodic) function. We prove error bounds showing that our algorithm is almost optimal (up to logarithmic factors) for different classes of functions with bounded mixed derivative. Numerical results show that the new method is very competitive, in particular for smooth integrands and . Received April 3, 1995 / Revised version received November 27, 1995     

Input-output systems in biology and chemistry and a class of mathematical models describing them

Our aim is to show a class of mathematical models in application to some problems of cell biology. Typically, our models are described via classical chemical networks. This property is visualized by a conservation law. Mathematically, this conservation law guarantees most of the mathematical properties of the models such as global existence and uniqueness of solutions as well as positivity of the solutions for positive data. These properties are consequences of the fact that the infinitesimal generators forming the underlying dynamical systems are (nonlinear) negative M-operators.This work was partially supported by the Grant Agency of the Czech Republic under contract No. 201/05/0453, the Information Society project No. 1ET400300415, and the grant of the Ministry of Education, Youth and Sports of the Czech Republic No. MSM 6840770010.