Electrochemical impedance spectroscopy of poly{pyrrole-trans-[(RuCl2(pmp)4]} copolymer films deposited on platinum electrodes

The present study focuses on the electronic and electrochemical features of a copolymer electrochemically grown from pyrrole and trans-[RuCl₂(pmp)₄] monomers, where pmp = 3-(pyrrol-1-ylmethyl)pyridine. The results from electrochemical impedance spectroscopy analyses revealed the redox behavior of the poly{pyrrole-trans-[RuCl₂(pmp)₄]} compound as well as the non-homogeneous nature of the extremely thin polymeric layers. An equivalent circuit is proposed for an optimized film produced under the scope of the work. Received: 4 May 1998 / Accepted: 24 August 1998     

The Construction of Frobenius Manifolds¶from KP tau-Functions

Frobenius manifolds (solutions of WDVV equations) in canonical coordinates are determined by the system of Darboux–Egoroff equations. This system of partial differential equations appears as a specific subset of the n-component KP hierarchy. KP representation theory and the related Sato infinite Grassmannian are used to construct solutions of this Darboux–Egoroff system and the related Frobenius manifolds. Finally we show that for these solutions Dubrovin's isomonodromy tau-function can be expressed in the KP tau-function. Received: 1 September 1998 / Accepted: 7 March 1999     

New ultrasonically prepared Co-based catalysts for Fischer-Tropsch synthesis

An extensive study of different preparation methods for Co/SiO2 catalysts is reported in this paper. In addition to the conventional impregnation, other more innovative methods are used including ultrasound. The prepared samples are fully characterized and tested in the CO hydrogenation (Fischer-Tropsch synthesis). The best catalytic performance, both as CO conversion and hydrocarbons selectivity, is shown by one of the sample prepared using ultrasound.     

Über die Stabilität der stationären Punkte eines Verbandes mit unstetigen Ableitungen der potentiellen Energie

Zusammenfassung Ein autonomer und konservativer Verband mit einem Freiheitsgrad wird betrachtet. Die potentielle Energie des Verbandes wird mit Hilfe der Heaviside Funktion ausgedrückt und ihre Ableitungen besitzen Unstetigkeitsstellen. Mit der potentiellen EnergieU wird eine DistributionU gebildet und die ersten zwei Ableitungen dieser Distribution bestimmt. In den DistributionenU undU erscheinen Funktionen und Werte welche mitV, K undR bezeichnet werden und welche es erlauben die Natur der Unstetigkeitsstellen zu bestimmen. In einer Ebene mit den Achsen OV und OR werden die Bereiche der stabilen und instabilen Gleichgewichtslagen dargestellt. Dir kritischen Fälle an den Grenzen der Bereiche werden mit Hilfe vonK untersucht. Abschließend wird ein Beispiel gebracht.

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Summary An undamped autonomous system with one degree of freedom is considered. The potential energy of the system is expressed with the help of the Heaviside function and its derivatives possess points of discontinuity. With the potential energyU a distributionU is determined and the first and second differentiation of the distributionU are calculated. In the distributionsU andU appear functions and values denoted byV, K, R which permit to establish the nature of the points of discontinuity. In a plane with the axes OV and OR the regions of stable and instable equilibrium positions are represented. Critical cases on the boundaries between the different regions are analysed with the help ofK. An example is also considered.

     

Satelliten; Singuläre Erweiterungen und Derivationen

This paper is divided in two parts. In chapter one we generalize the concept of satellite for abelian categories, substituting Ext by an arbitrary functor E:A ^op×BEns. A very close relation to Kan functor extensions turns out. In chapter two we give a comprehensive formulation of the wellknown cohomology theories for groups and algebras-with the recently used modification in taking the group of derivations as the lowest cohomology group- starting with a categorical definition of the concept of singular extension. There is a zeroth chapter with a construction on functors, needed in both parts, and a third with examples.

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Gekürzte Fassung der Dissertation des Autors zur Erlangung des Doktorgrades der Mathematisch-Naturwissenschaftlichen Fakultät der Universität Hamburg.     

Multicriteria analysis in decision making under information uncertainty

This paper presents results of research related to multicriteria decision making under information uncertainty. The Bellman–Zadeh approach to decision making in a fuzzy environment is utilized for analyzing multicriteria optimization models (X,M models) under deterministic information. Its application conforms to the principle of guaranteed result and provides constructive lines in obtaining harmonious solutions on the basis of analyzing associated maxmin problems. This circumstance permits one to generalize the classic approach to considering the uncertainty of quantitative information (based on constructing and analyzing payoff matrices reflecting effects which can be obtained for different combinations of solution alternatives and the so-called states of nature) in monocriteria decision making to multicriteria problems. Considering that the uncertainty of information can produce considerable decision uncertainty regions, the resolving capacity of this generalization does not always permit one to obtain unique solutions. Taking this into account, a proposed general scheme of multicriteria decision making under information uncertainty also includes the construction and analysis of the so-called X,R models (which contain fuzzy preference relations as criteria of optimality) as a means for the subsequent contraction of the decision uncertainty regions. The paper results are of a universal character and are illustrated by a simple example.