A concise derivation of a new multiplicative product of Schwartz distributions is presented. The new product ⋆ is defined in the vector space A of piecewise smooth functions on IR and all their (distributional) derivatives; it is associative, satisfies the Leibnitz rule and reproduces the usual product of functions for regular distributions. The algebra (A,+, ⋆) yields a sufficiently general se...

D. Senff,1 O. Schumann,1 M. Benomar,1 M. Kriener,1,2 T. Lorenz,1 Y. Sidis,3 K. Habicht,4 P. Link,5,* and M. Braden1,† 1II. Physikalisches Institut, Universität zu Köln, Zülpicher Strasse 77, D-50937 Köln, Germany 2Department of Physics, Kyoto University, Kyoto 606-8502, Japan 3Laboratoire Léon Brillouin, CEA/CNRS, F-91191 Gif-sur-Yvette Cedex, France 4Hahn-Meitner-Institut, Glienicker Strasse 1...

When Newton and Leibnitz practiced calculus, they used infinitesimals, which were supposed to be like real numbers, yet of smaller magnitude than any other type of postive real number. In the 19th century, mathematicians realized they could not justify the use of infinitesimals according to their sense of rigor, so they began using definitions involving ’s and δ’s. Then, in the early 1960’s, th...

The energy method can be used to identify well-posed initial boundary value problems for quasilinear, symmetric hyperbolic partial differential equations with maximally dissipative boundary conditions. A similar analysis of the discrete system can be used to construct stable finite difference equations for these problems at the linear level. In this paper we apply these techniques to some test ...

The general, linear equations with constant coefficients on quantum Minkowski spaces are considered and the explicit formulae for their conserved currents are given. The proposed procedure can be simplified for ∗-invariant equations. The derived method is then applied to Klein-Gordon, Dirac and wave equations on different classes of Minkowski spaces. In the examples also symmetry operators for ...

1 Jülich Centre for Neutron Science JCNS, Forschungszentrum Jülich GmbH, Outstation at Institut Laue-Langevin, Grenoble, France 2 Institut für Kristallographie der RWTH Aachen University, Aachen, Germany 3 Forschungsneutronenquelle Heinz Maier-Leibnitz FRM-II, Technische Universität München, Garching bei München, Germany 4 Institut Laue-Langevin, Grenoble, France 5 SPSMS, UMR-E 9001, CEA-INAC/U...

Arabidopsis immunity towards B. cinerea 2100 2 3 Shouan Liu, Barbara Kracher, Joerg Ziegler, Rainer P. Birkenbihl and Imre 4 E. Somssich* 5 Department of Plant Microbe Interactions, Max Planck Institute for Plant 6 Breeding Research, Carl-von-Linné Weg 10, 50829 Cologne, Germany 7 Department of Molecular Signal Processing, Leibnitz Institute of Plant 8 Biochemistry, Weinberg 3, 06120 Halle (Saa...

The Forschungs-Neutronenquelle Heinz Meier-Leibnitz (FRM II) is actively participating in the worldwide efforts on developing high-density uranium fuels order to reduce enrichment of used high flux research reactors. This work part a parameter study define possible compatible FRM II core designs for conversion. As first step, code-to-code verification performed and experimental data validation....

Schulz, J. J. (corresponding author, [email protected]): Department of Earth and Environmental Science, University of Potsdam, Karl-Liebknecht Str. 24-25, D–14476 Potsdam, Germany Cayuela, L. ([email protected]): Área de Biodiversidad y Conservación, Universidad Rey Juan Carlos, c/Tulipán s/n, E–28933 Móstoles, Madrid, Spain Rey-Benayas, J. M. ([email protected]): Departamento de...

At the Forschungs-Neutronenquelle Heinz Maier-Leibnitz (FRM II) of Technical University Munich (TUM) a new source for ultra-cold neutrons (UCN) with solid deuterium converter is currently under construction. This summary paper shall give an overview project and its current status. Research results concerning preparation, para-to-ortho conversion, radiation effects neutron transport, which have ...