On the invariants of coloured Petri Nets

In this paper, we develop a theorem that enables computation of the place invariants of the union of a finite collection of coloured Petri Nets when the individual nets satisfy certain conditions and their invariants are known. We consider the illustrative examples of the Readers-Writers problem, a resource sharing system, and a network of databases and show how this theorem is a valuable tool in the analysis of concurrent systems.

Crystal and molecular structure of the quinoxaline antibiotic analog TANDEM (des-N-tetramethyltriostin A)

The crystal structure of TANDEM (des-N-tetramethyltriostin A), a synthetic analogue of the quinoxaline antibiotic triostin A, has been determined independently at -135 and 7 'C and refined to R values of 0.088 and 0.147, respectively. The molecule has approximate 2-fold symmetry, with the quinoxaline chromophores and the disulfide cross-bridge projecting from opposite sides of the peptide ring. The quinoxaline groups are nearly parallel to each other and separated by about 6.5 A. The peptide backbone resembles a distorted antiparallel 13 ribbon joined by intramolecular hydrogen bonds N-H(LVal)--O(L-Ala). At low temperatures, the TANDEM molecule is surrounded by a regular first- and second-order hydration sphere containing 14 independent water molecules. At room temperature, only the first-order hydration shell is maintained. Calculations of the interplanar separation of the quinoxaline groups as a function of their orientation with respect to the peptide ring support the viability of TANDEM to intercalate bifunctionally into DNA.

Eine Erinnerung an den 67. Geburtstag des Herrn Sobernheim (in memory of the 67th birthday of Mr. Sobernheim); Wiesbaden Portraits Groups

Participants include Erna Hirsch, Else Giesenow, Marta Nachmann, Erna Goldschmidt (Goldi), Lotte Strauss, Marta Bruchfeld, Toni Eichenberg, Grete Guthmann, Flora Goldschmidt, Hedwig Trum, Hedel Korhmann, Paula Arendt, Erna Behr and Frl. Minka Friedmann

Students on the steps of the Lehranstalt fuer die Wissenschaft des Judentums (Jewish teachers' seminary); Berlin Institutions; Educational; Schools; Portraits; Groups

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Students on the steps of the Lehranstalt fuer die Wissenschaft des Judentums (Jewish teachers' seminary); Berlin Institutions; Educational; Schools; Portraits; Groups

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Anisotropic Gaussian Schell-model beams: Passage through optical systems and associated invariants

Anisotropic Gaussian Schell-model (AGSM) fields and their transformation by first-order optical systems (FOS’s) forming Sp(4,R) are studied using the generalized pencils of rays. The fact that Sp(4,R), rather than the larger group SL(4,R), is the relevant group is emphasized. A convenient geometrical picture wherein AGSM fields and FOS’s are represented, respectively, by antisymmetric second-rank tensors and de Sitter transformations in a (3+2)-dimensional space is developed. These fields are shown to separate into two qualitatively different families of orbits and the invariants over each orbit, two in number, are worked out. We also develop another geometrical picture in a (2+1)-dimensional Minkowski space suitable for the description of the action of axially symmetric FOS’s on AGSM fields, and the invariants, now seven in number, are derived. Interesting limiting cases forming coherent and quasihomogeneous fields are analyzed.

Students on the steps of the Lehranstalt fuer die Wissenschaft des Judentums (Jewish teachers' seminary); Berlin Institutions; Educational; Schools; Portraits; Groups

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Students on the steps of the Lehranstalt fuer die Wissenschaft des Judentums (Jewish teachers' seminary); Berlin Institutions; Educational; Schools; Portraits; Groups

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Komplexe Grundlagenforschung Antijudaismus Verunglimpfung des Judentums in Literatur- und Kirchengeschichte.

Manuscript on Antisemitism in Christianity