Space-variant filtering with holographic multifacet elements

We present a spatial filtering method for space-variant operations. The method is based on the combination of a holographic lenslet array and an appropriate filter array. The lenslets produce local Fourier transforms of the object which are filtered in parallel and independently by the spatial filters. The most obvious space-variant setup based on lenslet arrays would consist of many narrow 4f-setups, arranged side by side. The total object would be partitioned into many small object patches, as many as there are lens elements in the lenslet array. However this setup shows the undesired effect of local inversion. Therefore we choose a setup with only one lenslet array and an imaging lens which avoids the local inversion.     

Nichtlineare Wechselwirkung elektromagnetischer Wellen im Plasma mit konstantem Magnetfeld

The nonlinear interaction of waves in anisotropic plasmas is considered. Solving the hydrodynamics equations with a n-th order perturbation procedure, an equation for the nonlinear electric field is derived. The n-th order current produced by interaction of waves with lower order is represented by means of a nonlinear tensor of conductivity, which is calculated for n = 2. It is shown, that a miced plasma wave with combination frequencies is excited as the result of interaction of two transverse (ordinary) waves propagating perpendicular to the magnetic field.     

Optimizing processing parameters for signal enhancement of oligonucleotide and protein arrays on ARChip Epoxy

Signal enhancement of oligonucleotide and protein arrays on ARChip Epoxy was achieved by optimizing chip processing parameters. The parameters investigated were fabrication, blocking and guide dot concentration, probe concentration and modification, print buffer, humidity during arraying, slide agitation, spot volume and spotter compatibility. The optimum oligonucleotide concentration was 20 microM, while the optimum protein concentration was 0.05 mg/ml. Amino-modified oligonucleotides were best able to be bound to the resin's epoxy groups at pH 8, whereas thiol-modified oligonucleotides displayed an optimum coupling value of pH 7. So as to avoid background (BG) contamination of probes around bright guide dots, the concentration of fluorescent guide dots was set to 1 muM. The most suitable print buffers for oligonucleotide arrays using both piezo- and contact-printing systems proved to be 3 x SSC/1.5 M betaine and commercial ArrayLink. When 0.01% monochlortriazinyl-beta-cyclodextrin sodium salt (MCT) was added, the hybridization signal doubled in strength as compared to plain buffer. The optimum print buffer for proteins was 0.1 N phosphate buffer, pH 8/10% glycerine. The optimum humidity for arraying oligonucleotides was 60% and for proteins 40%. Initially agitating slides for 15 min was found just as effective as agitating slides over the total hybridization period (2.5 h), and this resulted in a three times stronger signal.     

Chaotic itinerancy based on attractors of one-dimensional maps

A general methodology is described for constructing systems that have a slowly converging Lyapunov exponent near zero, based on one-dimensional maps with chaotic attractors. In certain parameter ranges, these relatively simple systems display the properties of intermittent dynamics known as chaotic itinerancy. We show that in addition to the local sensitivity characteristic of chaotic dynamics, these itinerant systems display a global sensitivity, in the sense that fine-scale additive noise may significantly change the natural measure on the large scale.     

Another Look at the Erdős–Hajnal–Pósa Results on Partitioning Edges of the Rado Graph

Dedicated to the memory of Paul Erdős Erdős, Hajnal and Pósa exhibited in [1] a partition (U,D) of the edges of the Rado graph which is a counterexample to . They also obtained that if every vertex of a graph has either in or in the complement of finite degree then . We will characterize all graphs so that . Received October 29, 1999 RID="†" ID="†" Supported by NSERC of Canada Grant #691325.     

Computational Prediction of 1H and 13C NMR Chemical Shifts for Protonated Alkylpyrroles: Electron Correlation and Not Solvation is the Salvation

Prediction of chemical shifts in organic cations is known to be a challenge. In this article we meet this challenge for α-protonated alkylpyrroles, a class of compounds not yet studied in this context, and present a combined experimental and theoretical study of the ¹³C and ¹H chemical shifts in three selected pyrroles. We have investigated the importance of the solvation model, basis set, and quantum chemical method with the goal of developing a simple computational protocol, which allows prediction of ¹³C and ¹H chemical shifts with sufficient accuracy for identifying such compounds in mixtures. We find that density functional theory with the B3LYP functional is not sufficient for reproducing all ¹³C chemical shifts, whereas already the simplest correlated wave function model, Møller–Plesset perturbation theory (MP2), leads to almost perfect agreement with the experimental data. Treatment of solvent effects generally improves the agreement with experiment to some extent and can in most cases be accomplished by a simple polarizable continuum model. The only exception is the NH proton, which requires inclusion of explicit solvent molecules in the calculation.     

Eine Schwefelbestimmungsmethode von allgemeiner Anwendbarkeit

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