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Search results for: iterated function systems · invariant measures · stability · strong law of large numbers · functional equations
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Generating sequences of Lefschetz numbers of iterates
PublicationDu, Huang and Li showed in 2003 that the class of Dold–Fermat sequences coincides with the class of Newton sequences, which are defined in terms of socalled generating sequences. The sequences of Lefschetz numbers of iterates form an important subclass of Dold–Fermat (thus also Newton) sequences. In this paper we characterize generating sequences of Lefschetz numbers of iterates.
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On some open questions for Ramsey and Folkman numbers
PublicationWe discuss some of our favorite open questions about Ramsey numbers and a related problem on edge Folkman numbers. For the classical two-color Ramsey numbers, we first focus on constructive bounds for the difference between consecutive Ramsey numbers. We present the history of progress on the Ramsey number R(5,5) and discuss the conjecture that it is equal to 43.
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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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Closed Form Constraint Equations Used to Express Frictionless Slip of Multibody Systems Attached to Finite Elements—Application to a Contact between a Double Pendulum and a Beam
PublicationThis paper focuses on the numerical modeling of the dynamics of mechanical systems. Robots that can inspect high-voltage lines inspired this research. Their control systems must anticipate potential grab positions appropriately. We intend to formulate equations dedicated to the numerical description of the robot/cable contact. The investigated problem is not straightforward, since parts of the modeled systems are numerically inhomogeneous....
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Equations with Separated Variables on Time Scales
PublicationWe show that the well-known theory for classical ordinary differential equations with separated variables is not valid in case of equations on time scales. Namely, the uniqueness of solutions does not depend on the convergence of appropriate integrals.
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Optimally regularized local basis function approach to identification of time-varying systems
PublicationAccurate identification of stochastic systems with fast-varying parameters is a challenging task which cannot be accomplished using model-free estimation methods, such as weighted least squares, which assume only that system coefficients can be regarded as locally constant. The current state of the art solutions are based on the assumption that system parameters can be locally approximated by a linear combination of appropriately...
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Recycling of waste tires in the light of binding law in Poland
PublicationA risings of large quantities of used rubber products, especially used tires has been increasing every year in Poland, in 2006 it was 160 thousand. The waste management and recycling of used tires become a major environmental problem. Well known methods of utilization of used tires are presented in this article. The main problem is ignorance of the law by tyre manufactures and users. In Poland first act on waste introduces ban...
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Recent Advances in Loop Heat Pipes with Flat Evaporator
PublicationThe focus of this review is to present the current advances in Loop Heat Pipes (LHP) with flat evaporators, which address the current challenges to the wide implementation of the technology. A recent advance in LHP is the design of flat-shaped evaporators, which is better suited to the geometry of discretely mounted electronics components (microprocessors) and therefore negate the need for an additional transfer surface (saddle)...
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Quasilinearization methods for nonlinear differential-functional parabolic equations: unbounded case
PublicationRozważamy zagadnienie Cauchy'ego dla nieliniowych równań parabolicznych z zależnością funkcyjną. Przedstawiamy rezultaty dotyczące zbieżności metody quasilinearyzacji dla rozwiązań nieograniczonych.
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Implicit difference methods for quasilinear differential functional equations on the Haar pyramid
PublicationW pracy prezentowana jest klasa metod numerycznych dla quasiliniowych równań różniczkowo funkcyjnych pierwszego rzędu. Metody numeryczne są uwikłane względem zmiennej czasowej. Istnienie rozwiązania przybliżonego wykazane zostało przy użyciu nierówności różnicowych. Dowód stabilności bazuje na technice porównawczej z nieliniowym oszacowaniem typu Perona dla funkcji danych. Przedstawione zostały również przykłady numeryczne.
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Generalized Euler method for first order partial differential functional equations
PublicationW pracy prezentowana jest nowa klasa metod numerycznych dla nieliniowych równań różniczkowo funkcyjnych pierwszego rzędu.Rozwiązania klasyczne zagadnień początkowo brzegowych przybliżane są w tej pracy przez rozwiązania odpowiedniego układu quasilininowego równań różnicowych. Podajemy kompletną analizę zbieżności metod i pokazujemy na przykładach, iż nowa metoda jest zauważalnie lepsza niż klasyczne schematy różnicowe. Dowód stabilności...
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First-order functional difference equations with nonlinear boundary value problems
PublicationDyskutowano problem brzegowy dla równań różnicowych z opóźnionym argumentem. Nierówności różnicowe związane z w/w problem też były przedmiotem badań. Stosując metodę iteracji monotonicznych, sformułowano warunki dostateczne na istnienie ekstremalnych rozwiązań problemów brzegowych z opóźnionymi argumentami. Podano dwa przykłady ilustrujące otrzymane wyniki.
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Implicit difference methods for first order partial differential functional equations
PublicationW pracy prezentowana jest nowa klasa metod numerycznych dla quasiliniowych równań różniczkowo funkcyjnych pierwszego rzędu. Są to schematy różnicowe uwikłane względem zmiennej czasowej. Podana jest pełna analiza zbieżności rozważanych metod uwikłanych oraz przykład numeryczny pokazujący, że klasa tych metod jest szersza niż klasa schematów jawnych. Dowód stabilności opiera się na technice porównawczej z nieliniowym oszacowaniem...
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Numerical method of lines for first order partial differential functional equations
PublicationUdowodniono zbieżność numerycznej metody prostych dla równań różniczkowofunkcyjnych o pochodnych cząstkowych pierwszego rzędu i ich rozwiązań klasycznych określonych na piramidzie Haara. Zastosowano metodę nierówności różniczkowych.
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Fractional differential equations with causal operators
PublicationWe study fractional differential equations with causal operators. The existence of solutions is obtained by applying the successive approximate method. Some applications are discussed including also the case when causal operator Q is a linear operator. Examples illustrate some results.
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Optimization of constitutive law for objective numerical modeling of knitted fabric
PublicationThis paper discusses the problem of macroscopic modeling a knitted technical fabric with the aim to determine a constitutive law for adequately modeling the material response under real-life load. As phenomenological, hyperelastic material laws reveal different parameters due to different test modalities used to identify such parameters, an optimization scheme is proposed to determine an objective solution. The study is conducted...
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Qualitative evaluation of distributed clinical systems supporting research teams working on large-scale data
PublicationInthispaper,fivecontemporaryscalablesystemstosupportmedicalresearchteams are presented. Their functionalities extend from heterogeneous unstructured data acquisition through large-scale data storing, to on-the-fly analyzing by using robust methods. Such kinds of systems can be useful in the development of new medical procedures and recommendation rules for decision support systems. A short description of each of them is provided....
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Elastoplastic material law in 6-parameter nonlinear shell theory
PublicationWe develop the elastoplastic constitutive relations for nonlinear exact 6-parameter shell theory. A J2-type theory with strain hardening is formulated that takes into account asymmetric membrane strain measures. The incremental equations are solved using implicit Euler scheme with closest point projection algorithm. The presented test example shows the correctness of the proposed approach. Influence of micropolar material parameters...
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A NOTE ON ON-LINE RAMSEY NUMBERS FOR QUADRILATERALS
PublicationWe consider on-line Ramsey numbers defined by a game played between two players, Builder and Painter. In each round Builder draws an the edge and Painter colors it either red or blue, as it appears. Builder’s goal is to force Painter to create a monochromatic copy of a fixed graph H in as few rounds as possible. The minimum number of rounds (assuming both players play perfectly) is the on-line Ramsey number \widetilde{r}(H) of...
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Innovative investment funds and stability of financial systems: Nonparametric study of exchange-traded funds in Europe
PublicationThe main aim of the paper is investigation of the potential contribution of exchange-trade funds (ETFs) to the instability of the European financial systems. The paper begins with presentation of the key theoretical concepts with regard to ETFs and financial stability. We discuss the key attributes of ETFs as the innovative category of investment funds, their hypothesized impact on the financial stability as well as briefly describe...
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Testing Stability of Digital Filters Using Multimodal Particle Swarm Optimization with Phase Analysis
PublicationIn this paper, a novel meta-heuristic method for evaluation of digital filter stability is presented. The proposed method is very general because it allows one to evaluate stability of systems whose characteristic equations are not based on polynomials. The method combines an efficient evolutionary algorithm represented by the particle swarm optimization and the phase analysis of a complex function in the characteristic equation....
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Shallow-Water Acoustic Communications in Strong Multipath Propagation Conditions
PublicationA phenomenon that has a strong impact on signal transmission conditions in Underwater Acoustic Communication (UAC) systems is multipath propagation. As a result of multipath propagation, the transmitted signal undergoes time dispersion which results in inter-symbol interference observed on the receiving side. Time dispersion is large, especially in horizontal channels in shallow waters which significantly limits the transmission...
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Structural, functional, and stability change predictions in human telomerase upon specific point mutations,
PublicationOverexpression of telomerase is one of the hallmarks of human cancer. Telomerase is important for maintaining the integrity of the ends of chromosomes, which are called telomeres. A growing number of human disease syndromes are associated with organ failure caused by mutations in telomerase (hTERT or hTR). Mutations in telomerase lead to telomere shortening by decreasing the stability of the telomerase complex, reducing its accumulation,...
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The modelling method of discrete-continuous systems
PublicationThe paper introduces a method of discrete-continuous systems modelling. In the proposed method a three-dimensional system is divided into finite elements in only two directions, with the third direction remaining continuous. The thus obtained discrete-continuous model is described by a set of partial differential equations. General difference equations of discrete system are obtained using the rigid finite element method. The limit...
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Improving Re-rankCCP with Rules Quality Measures
PublicationRecommender Systems are software tools and techniques which aim at suggesting new items that may possibly be of interest to a user. Context-Aware Recommender Systems exploit contextual information to provide more adequate recommendations. In this paper we described a modification of an existing contextual post-filtering algorithm which uses rules-like user representation called Contextual Conditional Preferences. We extended the...
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Tax law[w:] Polish Financial Law. Law: The Basic Concepts,
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Three dimensional fluid equations from distribution function with discontinuity in velocity space
PublicationUkład równań typu hydrodynamicznego dla rozwarstwionego gazu w polu grawitacyjnym jest wyprowadzony z równania BKG przy użyciu metody kawałków ciągłej funkcji dystrybucji. Otrzymany układ równań uogólnia układ Naviera-Stokesa dla dowolnych liczb Knudsena.
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Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers
PublicationLet f be a smooth self-map of m-dimensional, m ≥ 4, smooth closed connected and simply-connected manifold, r a fixed natural number. For the class of maps with periodic sequence of Lefschetz numbers of iterations the authors introduced in [Graff G., Kaczkowska A., Reducing the number of periodic points in smooth homotopy class of self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers, Ann. Polon. Math....
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The Method of Selecting the Interval of Functional Tests Taking into Account Economic Aspects and Legal Requirements
PublicationThe article discusses the problem of choosing the optimal frequency of functional tests, taking into account the reliability and law requirements, but also the impact of business aspects in the company. The subject of functional test interval is well described for purposes of the process industry. Unfortunately, this is not the case for the machinery safety functions with low demand mode. This is followed by a presentation of the...
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Functional safety and security management in critical systems
PublicationGłównym celem referatu jest przedstawienie wybranych kwestii zarządzania bezpieczeństwem i ochroną w systemach podwyższonego ryzyka i systemach krytycznych. Zarysowuje się kilka praktycznych problemów analizy bezpieczeństwa funkcjonalnego w celu podejmowania decyzji zgodnie z normami międzynarodowymi IEC 61508 i IEC 61511. Podkreśla się, że aspekty związane z ochroną powinny być starannie rozpatrzone zarówno w fazie projektowania,...
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A la recherche d’une coherence perdue – Possible Arguments for the Non-application of EU Law in Member States
PublicationThe European Union (EU) is an international organization which has a broad scope of competences that have been transferred to it by its Member States in the founding Treaties. The object of the article is to identify arguments raised, or that potentially might be raised, by national Constitutional Courts (and in the future possibly by other actors as well) to exclude in certain instances the application of EU law or EU jurisprudence...
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Multi-GPU UNRES for scalable coarse-grained simulations of very large protein systems
PublicationGraphical Processor Units (GPUs) are nowadays widely used in all-atom molecular simulations because of the advantage of efficient partitioning of atom pairs between the kernels to compute the contributions to energy and forces, thus enabling the treatment of very large systems. Extension of time- and size-scale of computations is also sought through the development of coarse-grained (CG) models, in which atoms are merged into extended...
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Generalized solutions of mixed problems for first-order partial functional differential equations
PublicationW pracy udowodniono twierdzenie o istnieniu rozwiązań i ich ciągłej zależności od warunków początkowo brzegowych. Do przekształcenia zagadnienia oryginalnego w układ równań całkowo funkcyjnych typu Volterry użyto metody bicharakterystyk. Istnienie rozwiązań udowodnione jest metodą kolejnych przybliżeń, przy użyciu twierdzeń o nierównościach całkowych. Rozwiązania klasyczne układów równań całkowo funkcyjnych prowadzą do rozwiązań...
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Almost homoclinic solutions for a certain class of mixed type functional differential equations
PublicationW pracy opisano pewną metodę aproksymacyjną szukania rozwiązań prawie homoklinicznych dla równań różniczkowo funkcyjnych z opóźnionym i przyśpieszonym argumentem. Podano również przykłady zastosowań tej metody.
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Colorings of the Strong Product of Circulant Graphs
PublicationGraph coloring is one of the famous problems in graph theory and it has many applications to information theory. In the paper we present colorings of the strong product of several circulant graphs.
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Can Historic Interiors with Large Cubature be Turned Acoustically Correct?
PublicationHistoric interiors with large cubature, such as reception, theatrical, and concert halls, need to be renovated periodically if they are to be preserved as cultural heritage for future generations. In such cases it is necessary to maintain appropriate balance between requirements imposed by heritage conservation authorities office which are usually being given a higher priority, applicable safety regulations, and the comfort of...
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Modeling of Performance, Reliability and Energy Efficiency in Large-Scale Computational Environments
PublicationLarge scale of complexity of distributed computational systems imposes special challenges for prediction of quality in such systems. Existing quality models for lower-scale systems include functionality, performance, reliability, flexibility and usability. Among these attributes, performance and reliability have a particular significance to the large-scale systems computing quality modeling due to their strong dependence on the...
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Galvanic isolation circuit for measuring systems operating in environments with strong electromagnetic disturbances
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Modeling of Performance, Reliability and Energy Efficiency in Large-Scale Computational Environment
PublicationLarge scale of complexity of distributed computational systems imposes special challanges for prediction of quality in such systems.Existing quality models for lower-scale systems include functionality,performance,reliability,flexibility and usability.Among these attributes,performance and reliability have a particular significance to the large-scale systems computing quality modeling due to their strong dependence on the system...
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Reforms of Polish Antitrust Law: Closer to, or Further From, the European Model? Journal of European Competition Law and Practice
PublicationThe Polish Act on the Protection of Competition and Consumers has been recently amended. Changes include the introduction of a two-phase based merger control, a more efficient leniency program, and the administrative liability of individuals involved in antitrust agreements.
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PI observer stability and application in an induction motor control system
PublicationThe paper discusses the problem of stability of a proportional-integral Luenberger observer, designated for the state variables reconstruction of a linear, time-invariant dynamical system.
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Utilization of a Non-Linear Error Function in a Positioning Algorithm for Distance Measurement Systems Designed for Indoor Environments
PublicationA new positioning algorithm for distance measurement systems is outlined herein. This algorithm utilizes a non-linear error function which allows us to improve the positioning accuracy in highly difficult indoor environments. The non-linear error function also allows us to adjust the performance of the algorithm to the particular environmental conditions. The well-known positioning algorithms have limitations, mentioned by their...
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Computational analysis of power-law fluids for convective heat transfer in permeable enclosures using Darcy effects
PublicationNatural convection is a complex environmental phenomenon that typically occurs in engineering settings in porous structures. Shear thinning or shear thickening fuids are characteristics of power-law fuids, which are non-Newtonian in nature and fnd wide-ranging uses in various industrial processes. Non-Newtonian fuid fow in porous media is a difcult problem with important consequences for energy systems and heat transfer. In this...
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Law regulation in Poland related to biofuels
PublicationThe situation in the area of using biofuels in transport mostly the law aspects was presented and discussed. In Poland there are various legal issues with biofuel production, examination and use. These include among the others: quality inspection, production costs and market prices of biofuels, forms of public and legal service for biofuel producers or programs of biofuels promotion. In order to popularise biofuels it is significant...
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Scaling of numbers in residue arithmetic with the flexible selection of scaling factor
PublicationA scaling technique of numbers in resudue arithmetic with the flexible selection of the scaling factor is presented. The required scaling factor can be selected from the set of moduli products of the Residue Number System (RNS) base. By permutation of moduli of the number system base it is possible to create many auxilliary Mixed-Radix Systems associated with the given RNS with respect to the base, but they have different sets...
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Dressing chain equations associated with difference soliton systems
PublicationAnalogicznie do teorii równań różniczkowych solitonowych, wprowadzamy proce-durę ubierania pary Laxa. Stosujemy metodę dla budowy nowych rozwiązań napodstawie znanych. Wprowadza się uogólnione wielomiany Bella. Tworzy sięschemat dla ogólnych par Laxa w postaci wielomianów od pewnego automorfizmupierscieni. Podany został przykład równań Hiroty i Nahma.
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Stability analysis of two-step Runge-Kutta methods for delay differential equations
PublicationW pracy badana jest własność stabilności dwukrokowej metody Rungego-Kutty względem liniowego równania testowego o zespolonych współczynnikach. Udowodniono, że jeśli pewne warunki są spełnione to każda A-stabilna dwukrokowa metoda Rungego-Kutty zastosowana do równania różniczkowego z opóźnieniem jest P-stabilna.
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Piecewise continuous distribution function method: Fluid equations and wave disturbances at stratified gas
PublicationUkład równań typu hydrodynamicznego dla warstwowych gazów w polu grawitacyjnym pochodzi od równania BGK metodą częściowej ciągłej funkcji dystrybucji. Otrzymany system równań uogólnia układ Naviera-Stokesa w dowolnych liczbach Knudsena. Rozwiązania WBK dla ultradźwięku wprowadza się w przypadku stratyfikacji exponecjalnej.
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Application of the finite element methods in long-term simulation of the multi-physics systems with large transient response differences
PublicationApplication of the Finite Element Method (FEM) and the Multibody Dynamics Method allows analyzing of complex physical systems. Complexity of the system could be related both to the geometry and the physical description of phenomenon. The metod is the excellent tool for analyzing statics or dynamics of the mechanical systems, and permits tracking of Multi Body System (MBS) transient response for the long-term simulations and application...
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Disciplines and measures of information resilience
PublicationCommunication networks have become a fundamental part of many critical infrastructures, playing an important role in information delivery in various failure scenarios triggered e.g., by forces of nature (including earthquakes, tornados, fires, etc.), technology-related disasters (for instance due to power blackout), or malicious human activities. A number of recovery schemes have been defined in the context of network resilience...