The nucleon quark distribution amplitude and its influence on theQ 2-behaviour of nucleon form factors

In a re-analysis of nucleon form factors in perturbative quantum chromodynamics we examine the -dependence of the nucleon quark distribution amplitude by means of some model distribution amplitudes. We point out some problems that arise in the determination of the -evolution of the distribution amplitude. Our suggestions to cure these problems are discussed and resulting nucleon quark distribution amplitudes are presented. These give reasonable agreement with the available data for the form factors.Work is supported by Deutsche Forschungsgemeinschaft (Ga 153-13-1) and partially by NATO (0581/87)     

Electroinduced Extraction of Human Ferritin Heavy Chain Expressed in <Emphasis Type="Italic">Hansenula polymorpha</Emphasis>

А protocol for the efficient and selective recovery of human ferritin heavy chain (FTH1) expressed intracellularly in Hansenula polymorpha was developed. It was based on electropermeabilisation and an increase in the cell wall porosity by pulsed electric field (PEF) treatment and subsequent incubation with a low concentration of a lytic enzyme. Irreversible plasma membrane permeabilisation was induced by applying rectangular electric pulses in the flow mode. The electrical treatment itself did not cause the release of the recombinant protein but induced the sensitisation of H. polymorpha cells to the lytic enzyme. Consequently, the subsequent incubation of the permeabilised cells with lyticase led to the recovery of approximately 90% of the recombinant protein, with a purification factor of 1.8. A similar efficiency was obtained by using the industrial lytic enzyme Glucanex. The released FTH1 appears in the form of an oligomer with a molecular mass of approximately 480 kDa, which is able to bind iron. The possibility for scaling the proposed protocol is discussed.     

Bis(η5:η1‐pentafulvene)niobium(V) Complexes: Efficient Synthons for Niobium Carbene and Imido Derivatives

Transition‐metal carbene complexes and their reactivities are a key topic of chemistry. They are an integral part of researches in catalysis, organic synthesis, coordination chemistry, and numerous other areas. In this context, we report the synthesis of a low‐valent bis(η⁵:η¹‐(di‐p‐tolyl)‐pentafulvene)niobium chloride. Owing to the π‐η⁵:σ‐η¹ coordination mode of the pentafulvenes and the resulting high nucleophilic character of the exocyclic carbon atom of the ligand, the bis(η⁵:η¹‐pentafulvene)niobium complex is able to achieve the umpolung of a coordinated vinyl unit and the resulting formation of the first η⁵:η¹ cyclic niobium Schrock carbene complex. This new synthetic route is, in comparison to classical α‐hydrogen elimination reactions or thermolysis of diazo compounds, completely unprecedented. The reactivity of the cyclic carbene function and the remaining fulvene ligand is demonstrated by double N?H bond activation of primary amines to niobium imido complexes.     

On‐Demand Production of Flow‐Reactor Cartridges by 3D Printing of Thermostable Enzymes

The compartmentalization of chemical reactions is an essential principle of life that provides a major source of innovation for the development of novel approaches in biocatalysis. To implement spatially controlled biotransformations, rapid manufacturing methods are needed for the production of biocatalysts that can be applied in flow systems. Whereas three‐dimensional (3D) printing techniques offer high‐throughput manufacturing capability, they are usually not compatible with the delicate nature of enzymes, which call for physiological processing parameters. We herein demonstrate the utility of thermostable enzymes in the generation of biocatalytic agarose‐based inks for a simple temperature‐controlled 3D printing process. As examples we utilized an esterase and an alcohol dehydrogenase from thermophilic organisms as well as a decarboxylase that was thermostabilized by directed protein evolution. We used the resulting 3D‐printed parts for a continuous, two‐step sequential biotransformation in a fluidic setup.     

Gitterpunkte unter algebraischen Kurven

Lattice points below Algebraic Curves. A generalization of the classical circle problem is treated. An asymptotic formula for the number of lattice points in a region whose boundary is an algebraic curve is obtained. This gives a mean value formula for the number of representations of the positive integers in the formn=g(x,y), whereg is a polynomial with coefficients 0 and leading terma _d0x^d*a_0dy^d. The caseg(x,y)=p₁(x)+p₂(y) was considered inKuba andNowak [4], andKuba [5]. The discrete Hardy-Littlewood method is used along with Rouché's theorem.

     

Pertubation theory around nonnested fermi surfaces. I. Keeping the fermi surface fixed

The perturbation expansion for a general class of many-fermion systems with a nonnested, nonspherical Fermi surface is renormalized to all orders. In the limit as the infrared cutoff is removed, the counterterms converge to a finite limit which is differentiable in the band structure. The map from the renormalized to the bare band structure is shown to be locally injective. A new classification of graphs as overlapping or nonoverlapping is given, and improved power counting bounds are derived from it. They imply that the only subgraphs that can generater factorials in ther th order of the renormalized perturbation series are indeed the ladder graphs and thus give a precise sense to the statement that ladders are the most divergent diagrams. Our results apply directly to the Hubbard model at any filling except for half-filling. The half-filled Hubbard model is treated in another place.This paper is dedicated to the memory of Ansgar Schnizer.     

Smoothing Inversion of Fourier Series Using Generalized Cross-Validation

Let f be a 1-periodic, smooth function and $\hat f_k(k\in {\rm Z})$ its Fourier coefficients. The reconstruction of f from a given sequence of perturbed values of $\hat f_k$ is an ill-posed problem. Applying Tihonov’s regularization method, this problem can be solved in a stable manner. The efficiency of this method is closely related to the optimal choice of the smoothing parameter. In this paper we compute an optimal smoothing parameter by the method of generalized cross-validation. The related algorithm is tested in some numerical examples. Finally the results are extended to the bivariate case.     

Characterization of buried interfaces by multiple internal reflection spectroscopy (MIRS)

Multiple internal reflection spectroscopy (MIRS) was applied to analyse atomic bonds at deep (500 m) interfaces of directly bonded Si/Si wafer pairs. It is shown that under the conditions used the polarized spectra contain information only about the interface layer a few nanometers thick. Examples are given of analysing the Si-H- and SiO-H vibration modes and bands of undissociated water in interfaces of bonded hydrophobic and hydrophilic wafer pairs, respectively, after annealing at temperatures between 200 and 1100 °C. Variations of the bonding behaviour (especially caused by alterations of the Si-H bonds) are discussed.Dedicated to Professor Dr. rer.nat. Dr. h.c. Hubertus Nickel on the occasion of his 65th birthday     

CoLab: A hybrid knowledge representation and compilation laboratory

Knowledge bases for real-world domains such as mechanical engineering require expressive and efficient representation and processing tools. We pursue a declarative-compilative approach to knowledge engineering.While Horn logic (as implemented in PROLOG) is well-suited for representing relational clauses, other kinds of declarative knowledge call for hybrid extensions: functional dependencies and higher-order knowledge should be modeled directly. Forward (bottom-up) reasoning should be integrated with backward (top-down) reasoning. Constraint propagation should be used wherever possible instead of search-intensive resolution. Taxonomic knowledge should be classified into an intuitive subsumption hierarchy.Our LISP-based tools provide directtranslators of these declarative representations into abstract machines such as an extended Warren Abstract Machine (WAM) and specialized inference engines that are interfaced to each other. More importantly, we provide source-to-sourcetransformers between various knowledge types, both for user convenience and machine efficiency.These formalisms with their translators and transformers have been developed as part of CoLab, acompilationlaboratory for studying what we call, respectively, vertical and horizontal compilation of knowledge, as well as for exploring the synergeticcolaboration of the knowledge representation formalisms.A case study in the realm of mechanical engineering has been an important driving force behind the development of CoLab. It will be used as the source of examples throughout the paper when discussing the enhanced formalisms, the hybrid representation architecture, and the compilers.Supported by BMFT Research Project ARC-TEC (grant ITW 8902 C4)