Über den Zusammenhang zwischen dem chemisch-strukturellen und kolloiden Bau der Proteine

Ohne Zusammenfassung     

System-size dependence of strangeness production in nucleus-nucleus collisions at squareroot[sNN]=17.3 GeV

Emission of pi+/-, K+/-, phi, and Lambda was measured in near-central C+C and Si+Si collisions at 158 AGeV beam energy. Together with earlier data for p+p, S+S, and Pb+Pb, the system-size dependence of relative strangeness production in nucleus-nucleus collisions is obtained. Its fast rise and the saturation observed at about 60 participating nucleons can be understood as the onset of the formation of coherent systems of increasing size.     

Large transversals to small families of unit disks

Summary It is proved that if the nonempty intersection of bounded closed convex sets AnB is contained in (A + F)U(B+F) and one of the following holds true: (i) the space X is less-than-three dimensional, (ii) AUB is convex, (iii) F is a one-point set, then AnBCA+F or AnBCB+F (Theorems 2 and 3). Moreover, under some hypotheses the characterization of A and B such that AnB is a summand of AUB is given (Theorem 3).     

Electroweak phase transition in the minimal supersymmetric standard model: 4-dimensional lattice simulations

Lattice results show no standard model (SM) electroweak phase transition (EWPT) for Higgs masses approximately 72 GeV, which is below the present experimental limit. Perturbation theory and 3-dimensional simulations indicate an EWPT in the minimal supersymmetric SM (MSSM) that is strong enough for baryogenesis up to m(h) approximately 105 GeV. In this Letter we present the results of our large scale 4-dimensional MSSM EWPT simulations. We carried out infinite volume and continuum limits and found a transition whose strength agrees well with perturbation theory, allowing MSSM electroweak baryogenesis at least up to m(h) = 103+/-4 GeV. We determined the properties of the bubble wall.     

Synthesis of 4,5-dihydro-1,4-benzothiazepine derivatives via ring expansion

Basic treatment in methanol of a chloro-β-lactam fused with dihydrobenzothiazine led to the corresponding 1,4-benzothiazepine derivative via a new ring expansion. The structure of the product, deduced from IR and ¹H NMR data, was confirmed by X-ray measurements.     

Event-by-event fluctuations of the Kaon-to-Pion ratio in central Pb+Pb collisions at 158 GeV per nucleon

We present the first measurement of fluctuations from event to event in the production of strange particles in collisions of heavy nuclei. The ratio of charged kaons to charged pions is determined for individual central Pb+Pb collisions. After accounting for the fluctuations due to detector resolution and finite number statistics we derive an upper limit on genuine nonstatistical fluctuations, which could be related to a first- or second-order QCD phase transition. Such fluctuations are shown to be very small.     

Symmetric and Non-Symmetric ABS Methods for Solving Diophantine Systems of Equations

In the present paper we describe a new class of algorithms for solving Diophantine systems of equations in integer arithmetic. This algorithm, designated as the integer ABS (iABS) algorithm, is based on the ABS methods in the real space, with extensive modifications to ensure that all calculations remain in the integer space. Importantly, the iABS solves Diophantine systems of equations without determining the Hermite normal form. The algorithm is suitable for solving determined, over- or underdetermined, full rank or rank deficient linear integer equations. We also present a scaled integer ABS system and two special cases for solving general Diophantine systems of equations. In the scaled symmetric iABS (ssiABS), the Abaffian matrix H _i is symmetric, allowing that only half of its elements need to be calculated and stored. The scaled non-symmetric iABS system (snsiABS) provides more freedom in selecting the arbitrary parameters and thus the maximal values of H _i can be maintained at a certainly lower level. In addition to the above theoretical results, we also provide numerical experiments to test the performance of the ssiABS and the snsiABS algorithms. These experiments have confirmed the suitability of the iABS system for practical applications.