Über das Scoparin

Ohne Zusammenfassung     

Elastic curves on the sphere

This paper deals with the derivation of equations suitable for the computation of elastic curves on the sphere. To this end, equations for the main invariants of spherical elastic curves are given. A new method for solving geometrically constraint differential equations is used to compute the curves for given initial values. A classification of the fundamental forms of the curves is presented.     

Strong positivity inC(\bar \Omega ) for elliptic systemsfor elliptic systems

This work was supported in part by N.W.O., the Netherlands Organization for Scientific Research     

Singular reduction of implicit Hamiltonian systems

This paper develops the theory of singular reduction for implicit Hamiltonian systems admitting a symmetry Lie group. The reduction is performed at a singular value of the momentum map. This leads to a singular reduced topological space which is not a smooth manifold. A topological Dirac structure on this space is defined in terms of a generalized Poisson bracket and a vector space of derivations, both being defined on a set of smooth functions. A corresponding Hamiltonian formalism is described. It is shown that solutions of the original system descend to solutions of the reduced system. Finally, if the generalized Poisson bracket is nondegenerate, then the singular reduced space can be decomposed into a set of smooth manifolds called pieces. The singular reduced system restricts to a regular reduced implicit Hamiltonian system on each of these pieces. The results in this paper naturally extend the singular reduction theory as previously developed for symplectic or Poisson Hamiltonian systems.     

Über die Einwirkung von aromatischen Oxysulfosäuren auf Hippursäure

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The viscous mucilage from the weedPortulaca oleracea,L

A polysaccharide complex has been extracted from the invasive and widespread weedPortulaca oleracea (purslane) in yields of up to 25 g% (dry wt). The clear and viscous mucilage displays physicochemical properties appropriate for industrial uses, such as food extenders and viscosifier. Toxic collateral effects can be precluded because of the already known uses in home remedies and animal feed. Anion exchange chromatography fractionated the crude complex into a neutral arabinogalactan and polydisperse pectin-like polysaccharides. This fractionation brings about a reduction in the viscosity observed for the native complex, whereas saponification ofO-acetyl and/or carboxy-methoxyl groups increases it.

     

Die Wirkung des Kohlens?ureanhydrids auf Eisencyankalium

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