Abstract:
In the paper, a reduction algorithm for transforming the generaleigenvalue problem to the standard one is presented for both classicalfull-matrix methods and a sparse-matrix technique appropriate forlarge-scale circuits. An optimal pivoting strategy for the two methodsis proposed to increase the precision of the computations. The accuracyof the algorithms is furthermore increased using longer numerical data.First, a ORQJ.GRXEOH precision sparse algorithm is compared with theGRXEOH precision sparse and full-matrix ones. Finally, the applicationof a suitable multiple-precision arithmetic library is evaluated.

Abstract:
West Carpathian Mesozoic paleogeographic development indicates the effect of a left lateral shift of the Alpine- Carpathian microcontinent along the European shelf since the Early Jurassic. The evolution during Late Triassic/Early Jurassic was controlled by convergence along the border of the Meliata Ocean and by contemporaneous divergence along the Middle Atlantic/Penninic rift. During Mid-Cretaceous, the convergence between Africa and Paleoeurope started, which finally resulted in collision of Alpine-West Carpathian microcontinent with the Paleoeuropean margin and in the formation of the Alpine Orogen.

Abstract:
I derive up to second order in Eulerian perturbation theory a new relation between the weakly nonlinear density and velocity fields. In the case of unsmoothed fields, density at a given point turns out to be a purely local function of the expansion (divergence) and shear of the velocity field. The relation depends on the cosmological parameter Omega, strongly by the factor f(Omega) = Omega^{0.6} and weakly by the factors K(Omega) and C(Omega) proportional to Omega^{-2/63} and Omega^{-1/21} respectively. The Gramann solution is found to be equivalent to the derived relation with the weak Omega-dependence neglected. To make the relation applicable to the real world, I extend it for the case of smoothed fields. The resulting formula, when averaged over shear given divergence, reproduces up to second order the density-velocity divergence relation of Chodorowski & Lokas; however, it has smaller spread. It makes the formula a new attractive local estimator of large-scale density from velocity.

Abstract:
We show that an entanglement measure called relative entropy of entanglement satisfies a strong continuity condition. If two states are close to each other then so are their entanglements per particle pair in this measure. It follows in particular, that the measure is appropriate for the description of entanglement manipulations in the limit of an infinite number of pairs of particles.

Abstract:
The simplest non-trivial model of chaotic Bohmian dynamics is identified. We argue that its most important features can be observed in more complex models, above all, the presumable mechanism of the appearance of chaos in the Bohmian-type dynamical systems.

Abstract:
The multiobjective optimization provides an extraordinary opportunity for the finest design of electronic circuits because it allows to mathematically balance contradictory requirements together with possible constraints. In this paper, an original and substantial improvement of an existing method for the multiobjective optimization known as GAM (Goal Attainment Method) is suggested. In our proposal, the GAM algorithm itself is combined with a procedure that automatically provides a set of parameters -- weights, coordinates of the reference point -- for which the method generates noninferior solutions uniformly spread over an appropriately selected part of the Pareto front. Moreover, the resulting set of obtained solutions is then presented in a suitable graphic form so that the solution representing the most satisfactory tradeoff can be easily chosen by the designer. Our system generates various types of plots that conveniently characterize results of up to four-dimensional problems. Technically, the procedures of the multiobjective optimization were created as a software add-on to the CIA (Circuit Interactive Analyzer) program. This way enabled us to utilize many powerful features of this program, including the sensitivity analyses in time and frequency domains. As a result, the system is also able to perform the multiobjective optimization in the time domain and even highly nonlinear circuits can be significantly improved by our program. As a demonstration of this feature, a multiobjective optimization of a C-class power amplifier in the time domain is thoroughly described in the paper. Further, a four-dimensional optimization of a video amplifier is demonstrated with an original graphic representation of the Pareto front, and also some comparison with the weighting method is done. As an example of improving noise properties, a multiobjective optimization of a low-noise amplifier is performed, and the results in the frequency domain are shown. Finally, a necessity of a use of metaheuristic methods at least with a combination with the classical ones is demonstrated.

Abstract:
All eukaryotes have the ability to detect and respond to environmental and hormonal signals. In many cases these signals evoke cellular changes that are incompatible and must therefore be orchestrated by the responding cell. In the yeast Saccharomyces cerevisiae, hyperosmotic stress and mating pheromones initiate signaling cascades that each terminate with a MAP kinase, Hog1 and Fus3, respectively. Despite sharing components, these pathways are initiated by distinct inputs and produce distinct cellular behaviors. To understand how these responses are coordinated, we monitored the pheromone response during hyperosmotic conditions. We show that hyperosmotic stress limits pheromone signaling in at least three ways. First, stress delays the expression of pheromone-induced genes. Second, stress promotes the phosphorylation of a protein kinase, Rck2, and thereby inhibits pheromone-induced protein translation. Third, stress promotes the phosphorylation of a shared pathway component, Ste50, and thereby dampens pheromone-induced MAPK activation. Whereas all three mechanisms are dependent on an increase in osmolarity, only the phosphorylation events require Hog1. These findings reveal how an environmental stress signal is able to postpone responsiveness to a competing differentiation signal, by acting on multiple pathway components, in a coordinated manner.

Abstract:
Effective software evolution needs to be supported by appropriate execution environment. Program can be viewed as a sequence of statements that are aimed to produce some result. The execution isdone by a platform that interprets the program’s sequence of statements. The new result of a computation can be achieved by transformation of program, interpreter or both. Software evolution aslong-term process can be supported by adaptive language and by environment, which offers reflective possibilities. In this paper we present our adaptive approach for language modification, which isbased on the idea, that programming language is not an immutable artefact.

Abstract:
This paper describes system evolution managed by corresponding metasystem. The metasystem builds a metamodel of base system and allows its modification. The modification is propagated back to the base system. The application model presents the example of standard graphics user interface developed with Java Abstract Windowing Toolkit (AWT), which is a part of the Java Foundation Classes (JFC). The main aim is to confirm the possibility of application properties monitoring using aspect-oriented programming, their abstraction in ametamodel, possibility of their alternations by metamodel modifications and consequent change in the original application model.

Abstract:
We rigorously derive weakly nonlinear relation between cosmic density and velocity fields up to third order in perturbation theory. The density field is described by the mass density contrast, $\de$. The velocity field is described by the variable $\te$ proportional to the velocity divergence, $\te = - f(\Omega)^{-1} H_0^{-1} \nabla\cdot\bfv$, where $f(\Omega) \simeq \Omega^{0.6}$, $\Omega$ is the cosmological density parameter and $H_0$ is the Hubble constant. Our calculations show that mean $\de$ given $\te$ is a third order polynomial in $\te$, $\lan \de \ran|_{\te} = a_1 \te + a_2 (\te^2 - \s_\te^2) + a_3 \te^3$. This result constitutes an extension of the formula $\lan \de \ran|_{\te} = \te + a_2 (\te^2 - \s_\te^2)$, found by Bernardeau~(1992) which involved second order perturbative solutions. Third order perturbative corrections introduce the cubic term. They also, however, cause the coefficient $a_1$ to depart from unity, in contrast with the linear theory prediction. We compute the values of the coefficients $a_p$ for scale-free power spectra, as well as for standard CDM, for Gaussian smoothing. The coefficients obey a hierarchy $a_3 \ll a_2 \ll a_1$, meaning that the perturbative series converges very fast. Their dependence on $\Omega$ is expected to be very weak. The values of the coefficients for CDM spectrum are in qualitative agreement with the results of N-body simulations by Ganon et al. (1996). The results provide a method for breaking the $\Omega$-bias degeneracy in comparisons of cosmic density and velocity fields such as IRAS-POTENT.