Zur Existenz optimaler Quadraturformeln mit freien Knoten bei Integration analytischer Funktionen

Summary In the present paper we discuss the optimal quadrature rules for integration with positive continuous weight function in Hardy space H₂ of functions analytic in a circle of the complex plane. The new representations of the optimal weights and the norm of the error functional as functions of the nodes are obtained. On this basis we give an elementary proof for the existence of the optimal quadrature formula with free nodes.     

Valence bands of silver halides determined by X-ray and UV photoemission

Photoemission from AgCl, AgBr, and AgI has been studied at photon energies hω = 16.8, 21.2, 26.9, 40.8, 48.4 and 1486.6 eV. By exploiting the strong     

Arch?ometrische Untersuchungen von r?mischen Ziegeln und Wandplatten

Zusammenfassung Am Beispiel von Ziegel- und Wandplattenbruchstücken einer römischen Wüstung bei Schwarzenholz (Saarland) wird die Auswertung der Analysendaten und der Ergebnisse von Schnittbetrachtungen vorgestellt. Als geeignete Analysenverfahren erweisen sich die Röntgenfluorescenzanalyse und die Atomabsorptionsspektralanalyse. Mit Hilfe der Taxometrie gelingt eine Einteilung der Bruchstücke in die Gruppen Örtliches Material, Blickweiler und Gestempeltes Material. Die Untersuchungsergebnisse gestatten die Bestimmung des mengenmäßigen Anteils verschiedener Produktionen für einen Fundplatz und erlauben somit dem Archäologen Aussagen über wirtschaftliche Zusammenhänge.Für finanzielle Unterstützung danken wir der Stiftung Volkswagenwerk, Hannover.     

Displacement substoichiometric separations in radioanalytical chemistry

The principle of displacement substoichiometry and the possibilities of its practical use have been outlined. The substoichiometric separation of lead, arsenic, and zinc can be carried out by applying diethyldithiocarbamate complexes and solvent extraction.     

Analysis of repetitive mechanism signatures

A new signal decomposition for repetitive signatures is introduced. This is based on the concept of derived time series, produced by rearranging the original signal by using points one period apart. Time domain averaging is shown to be a special case of such rearrangement, and a second technique of variance analysis is presented. Applications to rotating machinery show that the decomposition can be very sensitive to various generating mechanisms, making them suitable for signature analysis of mechanical systems.     

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Ohne Zusammenfassung     

Darstellung und Untersuchung von Aminoschwefeltrifluoriden sowie eines Hydrolyseprodukts, 1-(Fluorooxothio)-2,5-dihydropyrrol

Synthesis and Investigation of Aminosulphur Trifluorides and of a Hydrolysis Product 1-(Fluorooxothio)-2,5-dihydropyrrole The reaction of previously unknown (trimethylsilyl)amines with sulphur tetrafluoride gives some new aminosulphurtrifluorides. Experiments to cleaver 1-(Trifluorothio)-2,5-dihydropyrrole and 1-(trifluorothio)pyrrolidin into butadiene and ethylene respectively and NSF₃ by way of a chelotrope cycloelimination were unsuccessful. ¹H-NMR and ¹⁹F-NMR spectra revealed the nitrogen in the aminosulphur trifluorides must be regarded sp³ hybridized rather than sp².     

The kinetics of pyrolysis of barrelene[1]: A concerted process on the C8H8 energy surface

The static vessel pyrolysis of bicyclo[2.2.2]octa-2,5,7-triene (barrelene) has been studied between 483 and 523 K. The products were acetylene and benzene (in equal quantities) with no other detectable C₈H₈ isomer (down to less than 1% of total). The time dependence fitted first-order kinetics, and the data are consistent with a homogeneous unimolecular reaction close to, if not at, its high-pressure limit at 0.25 torr. The rate constant was fitted to the Arrhenius equation These Arrhenius parameters are shown to imply a concerted single-step process. Alternative mechanisms are discussed and a comparison is made with the retro-Diels—Alder reactions of other bicyclo[2.2.2]octa-olefin systems.