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Search results for: WEAK CONVERGENCE
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Dithranol treatment of plaque-type psoriasis increases serum TNF-like weak inducer of apoptosis (TWEAK)
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Convergence or divergence in the European Union
PublicationThe disparities in economic prosperity revealed both from inter-country and inter-region perspective are one of the main problem in the modern economy. They consist of the dispersion in the real values such as incomes, GDP or productivity, but also nominal values such as prices and costs. The European Union is aware of this problem hence the role of the regional and structural policy aiming enhancing the cohesion between member...
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Influence of narrowband ultraviolet B phototherapy on serum tumour necrosis factor-like weak inducer of apoptosis (TWEAK) in patients with psoriasis
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Convergence to equilibrium under a random Hamiltonian
PublicationWe analyze equilibration times of subsystems of a larger system under a random total Hamiltonian, in which the basis of the Hamiltonian is drawn from the Haar measure. We obtain that the time of equilibration is of the order of the inverse of the arithmetic average of the Bohr frequencies. To compute the average over a random basis, we compute the inverse of a matrix of overlaps of operators which permute four systems. We first...
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Price convergence in the EU-an aggregate and disaggregate approach
PublicationThis article examines the price dispersion in the European Union (EU) over 15 years (1990-2005). An extensive overview of the literature offers inconclusive results with the half-lives of price shocks from 2.8 to 282 months. Until now, most of the empirical research has been either micro or macro based. In contrast, we conducted a complex analysis utilizing both aggregate and disaggregate price data. The macro approach is based...
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Social convergence in Nordic countries at regional level
PublicationResearch background: Geographical proximity, common historical roots and collaboration within the Nordic Council cause the Nordic countries to be often wrongly treated as monoliths. However, in reality, Nordic regions differ in terms of broadly defined social and economic development. Issues concerning the standard of living are one of the priorities of the Helsinki Treaty signed by Nordic countries. Purpose of the article: The...
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SOME CONVERGENCE PROPERTIES OF THE SUM OF GAUSSIAN FUNCTIONALS
PublicationIn the paper, some aspects of the convergence of series of dependent Gaussian sequences problem are solved. The necessary and sufficient conditions for the convergence of series of centered dependent indicators are obtained. Some strong convergence results for weighted sums of Gaussian functionals are discussed.
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Social Convergence in Nordic NUTS-3 Regions
PublicationGeographical proximity, common historical roots and collaboration within the Nordic Council make the Nordic countries, often wrongly treated as monoliths. However, in reality, Nordic regions differ in terms of broadly defined social and economic development. Issues concerning the standard of living are one of the priorities of the Helsinki Treaty signed by Nordic countries. The main goal of this paper is to analyze the existence...
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The use of Markov chains in the social convergence analysis
PublicationThe main goal of this article is to analyze the social convergence process using Markov chains. In this research, term social convergence refers to the reduction of dispersion in the standard of living among countries. The use of Markov chains in the social convergence analysis allowed describing movements of observational units within the distribution and providing more details about the mechanism of the convergence process. A...
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The impact of European Monetary Union on Price Convergence.
PublicationArtykuł dotyczy skutków wprowadzenia wspólnej waluty euro. Bada zarówno skutki krótkookresowe tj. odczucia co do podwyżek cen przez konsumentów i inflację w okresie przejścia na jedna walutę, jak i skutki długookresowe związane z redukcją kosztów tranzakcyjnych, eliminacją ryzyka kursowego i większą przejrzystością cen.
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The impact of internal and international migration on regional convergence in Poland
PublicationAccording to neoclassical theory, migration is expected to speed up the convergence process between countries (Barro, Sala-i-Martin 2004). The flow of labour from low-wage regions to high-wage regions should equalise payrolls. However, the impact of migration on convergence rates is unclear when the labour flow is heterogeneous. Moreover, the movement of labour towards wealthier areas depresses the demand for goods, services and...
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Price convergence in the European Union and in the new member states
PublicationThis paper examines price dispersion in the European Union (EU15) and in three New Member States (Poland, Hungary and the Czech Republic) between 1995 and 2006. The analysis utilizes both disaggregate and aggregate price data, including the prices of 157 products and two indices constructed using two different weighting procedures. For each category of goods the price dispersion is lower in EU15 than EU15 plus 3 NMS. Sigma convergence...
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Convergence of rational multistep methods of Adams-Padé type
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Convergence of rational multistep methods of of Adams-Padé type
PublicationRational generalizations of multistep schemes, where the linear stiff part of a given problem is treated by an A-stable rational approximation, have been proposed by several authors, but a reasonable convergence analysis for stiff problems has not been provided so far. In this paper we directly relate this approach to exponential multistep methods, a subclass of the increasingly popular class of exponential integrators. This natural,...
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Upward convergence patterns in chosen environmental-related SDGs
PublicationSustainable development is a challenge facing humanity. EU countries not only strive to reach their specific objectives, but they also work collaboratively towards shared goals. There is a need to balance synergies and compromises to address these objectives effectively. When discussing countries' development and people's well-being, one often focuses on socio-economic development. However, it is crucial not to overlook the environmental...
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Quadrtic convergence of monotone iterations of differential-algebraic equations
PublicationZastosowano tu metodę quazilinearyzacji do równań różniczkowo-algebraicznych z warunkiem początkowym. Pokazano, że odpowiednie iteracje monotoniczne są zbieżne do jedynego rozwiązania.
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On the convergence of iterative methods for general differential-algebraic systems.
PublicationW pracy badane jest istnienie i jednoznacznoSC rozwiązań dla ogólnej klasy układów równań całkowo-algebraicznych i różniczkowo-algebraicznych oraz zbieżność różnych metod iteracyjnych włączając metody typu ''waveform relaxation''. Podane są warunki, spełnienie których gwarantuje istnienie rozwiązań w/w równań oraz zbieżność badanych procesów iteracyjnych.
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Differential equations with a singular matrix and convergence of approximate solutions
PublicationZastosowano metodę kwazilinearyzacji dla równań różniczkowych z macierzą osobliwą aby pokazać, że odpowiednie ciągi rozwiązań przybliżonych są kwadratowo zbieżne do rozwiązania naszego problemu.Metodę tę zastosowano do układów takich równań różniczkowych.
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Weak forms of shadowing in topological dynamics
PublicationWe consider continuous maps of compact metric spaces. It is proved that every pseudotrajectory with sufficiently small errors contains a subsequence of positive density that is point-wise close to a subsequence of an exact trajectory with the same indices. Also, we study homeomor- phisms such that any pseudotrajectory can be shadowed by a finite number of exact orbits. In terms of numerical methods this property (we call it multishadowing)...
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Does migration lead to economic convergence in an enlarged European market?
PublicationThis paper examines the relationship between migration and convergence for the enlarged internal market of the European Union (EU27) for the period 1990-2007. The impact of migration on growth is estimated in two ways: by including the migration rate in a growth regression and examining its impact on the convergence coefficient; and from the actual coefficient on migration, which can be interpreted as the effect of migration on...
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On convergence and stability of a numerical scheme of Coupled Nonlinear Schrödinger Equations
PublicationRozważamy rozwiązania numeryczne układu sprężynowych równań nieliniowych Schrödingera. Udowodniliśmy stabilność i zbieżność. Testujemy za pomocą rozwiązań solitonowych.
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Structural convergence among selected European countries. Multidimensional analysis.
PublicationArtykuł stanowi syntetyczną analizę dotyczącą konwergencji strukturalnej pomiędzy krajami Europy. W szczególnosci autorki skupiły się na analizie gospodarki Polski, Czech, Węgier Słowacji. W analizie wykorzystano techniki analiz wielowymiarowych.
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IS THE REGIONAL DIVERGENCE A PRICE FOR THE INTERNATIONAL CONVERGENCE? THE CASE OF THE VISEGRAD GROUP
PublicationThe main goal of this article is to verify whether the Visegrad Group countries are achieving social convergence at national level at the expense of internal divergence. For this purpose, the existence of social beta-, sigma- and gamma-convergence at national and regional level was tested. The author of this article decided to tackle the convergence problem since there is a high risk that countries are trying to catch up at...
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Eventual Convergence of the Reputation-Based Algorithm in IoT Sensor Networks
PublicationUncertainty in dense heterogeneous IoT sensor networks can be decreased by applying reputation-inspired algorithms, such as the EWMA (Exponentially Weighted Moving Average) algorithm, which is widely used in social networks. Despite its popularity, the eventual convergence of this algorithm for the purpose of IoT networks has not been widely studied, and results of simulations are often taken in lieu of the more rigorous proof....
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Quadratic convergence of monotone iterations to systems of differential-algebraic equations
PublicationZastosowano tu metodę dolnych i górnych rozwiązań do skonstruowania monotonicznych ciągów, które są zbieżne kwadratowo do jedynego rozwiązania układu równań różniczkowo-algebraicznych z warunkiem początkowym.
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Weak Stability of Centred Quadratic Stochastic Operators
PublicationWe consider the weak convergence of iterates of so-called centred quadratic stochastic operators. These iterations allow us to study the discrete time evolution of probability distributions of vector-valued traits in populations of inbreeding or hermaphroditic species, whenever the offspring’s trait is equal to an additively perturbed arithmetic mean of the parents’ traits. It is shown that for the existence of a weak limit, it...
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Dirac fermions and possible weak antilocalization in LaCuSb2
PublicationLayered heavy-metal square-lattice compounds have recently emerged as potential Dirac fermion materials due to bonding within those sublattices. We report quantum transport and spectroscopic data on the layered Sb square-lattice material LaCuSb2. Linearly dispersing band crossings, necessary to generate Dirac fermions, are experimentally observed in the electronic band structure observed using angle-resolved photoemission spectroscopy,...
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Amplifying the Randomness of Weak Sources Correlated With Devices
PublicationThe problem of device-independent randomness amplification against no-signaling adversaries has so far been studied under the assumption that the weak source of randomness is uncorrelated with the (quantum) devices used in the amplification procedure. In this paper, we relax this assumption, and reconsider the original protocol of Colbeck and Renner using a Santha-Vazirani (SV) source. To do so, we introduce an SV-like condition...
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Complexity of weak acceptonic conditions in tree automata
PublicationRozważano złożoność problemu pustości dla automatów na drzewach ze słabymi warunkami akceptowalności. Rozważano także translacje pomiędzy słabymi i silnymi warunkami akceptowalności.
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A Regional Scale Analysis of Economic Convergence in Poland in the Years 2004–2012
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Convergence of expansions in Schrödinger and Dirac eigenfunctions, with an application to the R-matrix theory
PublicationW pracy zbadano właściwości rozwinięć w szeregi funkcji własnych dla zagadnień Schrödingera i Diraca. Potwierdzono obserwacje poczynione wcześniej przez Rosenthala oraz przez Szmytkowskiego i Hinze, że szereg funkcyjny występujący w teorii R-macierzy dla cząstek Diraca w ogólności nie zbiega do funkcji ciągłej.
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Remarks on the convergence of an iterative method of solution of generalized least squares problem
PublicationW pracy przedstawiona jest metoda iteracyjna znajdowania regularyzowanego (w sensie Tichonowa) rozwiązania układu równań Ax=b z dowolną macierzą A. Dla danej liczby alfa i wektora g daje ona ciąg przybliżeń zbieżny do rozwiązania (w sensie najmniejszych kwadratów) tego układu. Rozwiązanie to minimalizuje odległość zbioru wszystkich rozwiązań średniokwadratowych układu Ax=b od wektora g. Podane zostało również oszacowanie szybkości...
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On the convergence of a nonlinear finite-difference discretization of the generalized Burgers–Fisher equation
PublicationIn this note, we establish analytically the convergence of a nonlinear finite-difference discretization of the generalized Burgers-Fisher equation. The existence and uniqueness of positive, bounded and monotone solutions for this scheme was recently established in [J. Diff. Eq. Appl. 19, 1907{1920 (2014)]. In the present work, we prove additionally that the method is convergent of order one in time, and of order two in space. Some...
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The Implementation of the Taxonomic Spatial Measure of Development in the Analysis of Convergence in the Standard of Living
PublicationThe main goal of this paper is to analyse the existence of the social convergence in the European Union between 19952012. The social convergence refers to a reduction in the dispersion of the standard of living across countries. A taxonomic spatial measure of development was used as the standard of living approximation. The use of the new approach proposed by E. Antczak allowed for an explanation of the disparities in the analysed...
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Global Digital Technology Convergence: Driving Diffusion via Network Effects
PublicationSince the 1970s, we have witnessed unprecedented diffusion of digital technologies in both speed and geographic coverage. These technologies are pervasive and disruptive, and lead to profound shifts and transformations in societies and economies. Many claim that emerging network externalities are the principal phenomenon driving the process of technology diffusion and determining its in-time dynamics. This book analyses the unique...
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A convergence result for mountain pass periodic solutions of perturbed Hamiltonian systems
PublicationIn this work, we study second-order Hamiltonian systems under small perturbations. We assume that the main term of the system has a mountain pass structure, but do not suppose any condition on the perturbation. We prove the existence of a periodic solution. Moreover, we show that periodic solutions of perturbed systems converge to periodic solutions of the unperturbed systems if the perturbation tends to zero. The assumption on...
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Quadratic convergence of monotone iterations for differential equations with initial time difference
PublicationPodano warunki dostateczne na to, aby iteracje monotoniczne były zbieżne do jedynego rozwiązania równania różniczkowego przy różnych warunkach początkowych. Pokazano, że jest to zbieżność kwadratowa.
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The Conference Report of Why R? Turkey 2022: The First R Conference with Call For Papers in Turkey
PublicationWhy R? Turkey 2022 was a non-profit conference that aimed to bring Turkish R users together and encourage them to attend the R conferences. The targeted audience of the conference consisted of, data scientists, data analysts, and all R users from academia and industry. The three-day conference, which consisted of several events such as workshops, regular talks, lightning talks, short tutorials, and panels, was free of charge and...
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Mineral and Organic Matter Constituents in Weak Interfaces in Shales
PublicationThis paper identifies formation interfaces that would appear to be "weak interfaces", in the Jurassic, Early- Cretaceous Vaca Muerta formation, in the Neuquén Basin, Argentina. Significant distribution of the weak interfaces was observed including contacts between volcanic ash layers of varying thicknesses, calcite-filled veins, and contacts between lithology changes, such as between argillaceous mudstone and mottled carbonates....
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Linear Pantographic Sheets: Existence and Uniqueness of Weak Solutions
Publicationwe address the well-posedness of the planar linearized equilibrium problem for homogenized pantographic lattices. To do so: (i) we introduce a class of subsets of anisotropic Sobolev’s space as the most suitable energy space E relative to assigned boundary conditions; (ii) we prove that the considered strain energy density is coercive and positive definite in E ; (iii) we prove that the set of placements for which the strain...
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International conference “Images of Europe in Transition”, Kiev/Ukraine, 25th-26th november 2016 Conference report
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Editorial [general conference information and history]
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Regulation of Telecommunications Markets. Conference Report
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52. ''KRYNICA 2006'' Scientific Conference
PublicationPraca jest raportem z konferencji naukowej ''Krynica 2006'', na której autor pełnił funkcję sekretarza naukowego. W pracy omówiono częć ogólnš i problemowš Konferencji. Przedstawiono udział poszczególnych jednostek naukowo badawczych w Konferencji oraz grupy tematyczne tam reprezentowane.
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Networks 2010 Conference in Warsaw, Poland
PublicationArtykuł sprawozdawczy z konferencji.
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Convergence of Monte Carlo algorithm for solving integral equations in light scattering simulations
PublicationThe light scattering process can be modeled mathematically using the Fredholm integral equation. This equation is usually solved after its discretization and transformation into the system of algebraic equations. Volume integral equations can be also solved without discretization using the Monte Carlo (MC) algorithm, but its application to the light scattering simulations has not been sufficiently studied. Here we present implementation...
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Technology convergence and digital divides. A country-level evidence for the period 2000–2010
PublicationThe paper, mostly empirical in nature, investigates issues on cross-national new information and communication technologies (ICTs) adoption patterns and growth directions. In the period of 2000–2010, a great number of countries underwent substantial changes on the field of ICTs implementation. Many of them made a great “jump” starting with almost “zero level” of ICTs adoption in the year 2000 and during the ten- year period were...
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Two-dimensional hydrogen-like atom in a weak magnetic field
PublicationWe consider a non-relativistic two-dimensional (2D) hydrogen-like atom in a weak, static, uniform magnetic field perpendicular to the atomic plane. Within the framework of the Rayleigh-Schr¨odinger perturbation theory, using the Sturmian expansion of the generalized radial Coulomb Green function, we derive explicit analytical expressions for corrections to an arbitrary planar hydrogenic bound-state energy level, up to the fourth...
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Weak Solutions within the Gradient-Incomplete Strain-Gradient Elasticity
PublicationIn this paper we consider existence and uniqueness of the three-dimensional static boundary-value problems in the framework of so-called gradient-incomplete strain-gradient elasticity. We call the strain-gradient elasticity model gradient-incomplete such model where the considered strain energy density depends on displacements and only on some specific partial derivatives of displacements of first- and second-order. Such models...
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The method of location and identification of weak electric field source in seawater
PublicationThe paper presents the method and measurement system that allows to lacate the detected object and to identify parameters of its simplified model in form of a current dipole.