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Search results for: iterated function systems · invariant measures · stability · strong law of large numbers · functional equations
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Differential Equations and Dynamical Systems
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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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Fixed point indices of iterated planar maps
PublicationW artykule dokonuje się przeglądu wyników dotyczących indeksów punktu stałego iteracji odwzorowań planarnych, sformułowane zostają otwarte pytania i podane nowe dowody w przypadku gładkim.
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Analiza przestępstwa niealimentacji w prawie polskim. Analysis of the crime of non-alimentation in Polish law.
PublicationPrzedmiotowa monografia (składająca się ze wstępu, ośmiu rozdziałów oraz zakończenia) dokonuje analizy zagadnienia przestępstwa niealimentacji w prawie polskim, zarówno w aspekcie historycznym, jak i w zakresie obecnie...
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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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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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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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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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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...
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EVALUATING THE EFFECTIVENESS OF NON-PHYSICAL SPEED MANAGEMENT MEASURES
PublicationThe subject of the Authors' analyses is a group of non-physical speed management measures. How effective they are depends primarily on how willing drivers are to accept restrictions. Social and cultural factors play a major role. The effectiveness of these measures is not clear and requires further research. The authors conducted such research and evaluated the effects of nonphysical speed management measures on driver behaviour...
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UK travel agents’ evaluation of eLearning courses offered by destinations: an exploratory study.
PublicationThis study aims to develop an understanding of the use of e-learning courses created for travel agents by Destination Management Organizations (DMOs). It explores agents’ perceptions of such courses. The research examines the views of 304 UK-based travel agents using online survey and investigates whether age, sex, type of agency, work experience, and educational level have influence on e-learning uptake. The satisfaction of travel...
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Piotr Jasiński prof. dr hab. inż.
PeoplePiotr Jasinski obtained MSc in electronics in 1992 from the Gdansk University of Technology (GUT), Poland. Working at GUT, he received PhD in 2000 and DSc in 2009. Between 2001 and 2004 Post Doctoral Fellow at Missouri University of Science and Technology, while between 2008 and 2010 an Assistant Research Professor. Currently is an Associate Professor at Gdansk University of Technology working in the field of electronics, biomedical...
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Stability & Dynamics of Ship and Offshore Structures II W2021/22
e-Learning CoursesLecture and Lab classes - Stability & Dynamics of Ship and Offshore Structures II W2021/22
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Waveform relaxation methods for periodic differential-functional systems.
PublicationPrzedmiotem badań były układy różniczkowo-funkcyjne z warunkiem okresowym.Prawą stronę układu z argumentem funkcyjnym przedstawiono w nowej formie wygodnej do stosowania metody relaksacyjnej ''waveform''. Podano warunki dostateczne (dyskutowano dwa typy takich warunków) przy których wyjściowy problem ma rozwiązanie i odpowiednie ciągi relaksacyjne są do niego zbieżne. Dyskutowano w szczegółach przedstawiony problem numeryczny...
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Functional safety and security assessment of the control and protection systems
PublicationW artykule zostały poruszone kluczowe aspekty integracji podejścia bezpieczeństwa funkcjonalnego ''safety'' i ochrony informacji ''security'' w rozproszonych systemach sterowania i zabezpieczeniowych. Próba integracji zagadnień ''safety'' @ ''security'' została zilustrowana na przykładzie systemu monitoringu i zabezpieczeń pracującego w obiekcie podwyższonego ryzyka.
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Framework for RIDM within functional safety management process
PublicationThe functional safety management in life cycle is a complex process starting with identifying hazards and defining safety-related functions (SRFs) with risk assessment oriented at determining the safety integrity level. Another element of such life cycle is a verification of required SIL for designed safety-related system which implements safety function. Due to complexity of the problem, to overcome difficulties in safety-related...
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Runge-Kutta bicharacteristic methods for first order partial functional di- fferential equations
PublicationW pracy prezentujemy nową klasę metod numerycznych dla równań różniczkowo-funkcyjnych. Są to metody bicharakterystyk Rungego-Kutty. Ponadto porównuje-my wprowadzone metody z metodami klasycznymi.
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Shift invariant operators and a saturation theorem.
PublicationPraca jest kontynuacją wcześniejszych dwóch prac wydanych w Appl. Math. w latach 2001 i 2002. Główny wynik dotyczy wygładzania specjalnego ciągu zbieżnego słabo, tak iż dostajemy ciąg zbieżny w normie supremum.
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Functional specialisation and economic upgrading in GVCs
Open Research DataThe dataset collected for selected Central Eastern European (CEE) countries (CZE, EST, HUN, LVA, LTU, POL, SVK, SVN) contains country-level and sector-level observations for the project implementation linked to the concept of functional specialization of economies. The aim of the project is to identify patterns of functional specialisation in global...
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ELEMENTS OF LAW
e-Learning Courses -
Numerical Test for Stability Evaluation of Analog Circuits
PublicationIn this contribution, a new numerical test for the stability evaluation of analog circuits is presented. Usually, if an analog circuit is unstable then the roots of its characteristic equation are localized on the right half-plane of the Laplace s- plane. Because this region is unbounded, we employ the bilinear transformation to map it into the unit disc on the complex plane. Hence, the existence of any root inside the unit disc...
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From Functional Requirements through Test Evaluation Design to Automatic Test Data Retrieval – a Concept for Testing of Software Dedicated for Hybrid Embedded Systems
PublicationFrom Functional Requirements through Test Evaluation Design to Automatic Test Data Retrieval – a Concept for Testing of Software Dedicated for Hybrid Embedded Systems
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Electrostatic interactions in finite systems treated with periodic boundary conditions: Application to linear-scaling density functional theory
PublicationWe present a comparison of methods for treating the electrostatic interactions of finite, isolated systems within periodic boundary conditions (PBCs), within density functional theory (DFT), with particular emphasis on linear-scaling (LS) DFT. Often, PBCs are not physically realistic but are an unavoidable consequence of the choice of basis set and the efficacy of using Fourier transforms to compute the Hartree potential. In such...
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On-line Ramsey Numbers of Paths and Cycles
PublicationConsider a game played on the edge set of the infinite clique by two players, Builder and Painter. In each round, Builder chooses an edge and Painter colours it red or blue. Builder wins by creating either a red copy of $G$ or a blue copy of $H$ for some fixed graphs $G$ and $H$. The minimum number of rounds within which Builder can win, assuming both players play perfectly, is the \emph{on-line Ramsey number} $\tilde{r}(G,H)$. In...
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Tuning the work function of graphite nanoparticles via edge termination
PublicationGraphite nanoparticles are important in energy materials applications such as lithium-ion batteries (LIBs), supercapacitors and as catalyst supports. Tuning the work function of the nanoparticles allows local control of lithiation behaviour in LIBs, and the potential of zero charge of electrocatalysts and supercapacitors. Using large scale density functional theory (DFT) calculations, we find that the surface termination of multilayer...
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Generalization of Kramers-Krönig relations for evaluation of causality in power-law media
PublicationClassical Kramers-Krönig (K–K) relations connect real and imaginary parts of the frequency-domain response of a system. The K–K relations also hold between the logarithm of modulus and the argument of the response, e.g. between the attenuation and the phase shift of a solution to a wave-propagation problem. For square-integrable functions of frequency, the satisfaction of classical K–K relations implies causality in the time domain....
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Smooth Particle Hydrodynamics (SPH) approach in simulating large penetration into soil
PublicationA study of Smooth Particle Hydrodynamics (SPH) approach for predicting large soil deformation is presented. Theoretical basics of SPH method, including the equations governing, discussion of the importance of smoothing function length, contact formulation, boundary treatment and finally utilization in hydrocodes simulations are presented. An application of SPH to a real case of large penetrations (crater creating) into soil caused...
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Upgrading low value-added activities in global value chains: a functional specialisation approach
PublicationThis paper aims to identify patterns of functional specialisation (FS) in global value chains (GVCs) and determinants of upgrading them for selected Central Eastern European (CEE) economies. By combing the World Input-Output Database with data on occupations, we reveal a new FS pattern among subgroups of CEEs. Poland and Slovakia have an unfavourable GVC position and specialise in low value-added fabrication function. In contrast,...
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Communication Methods and Measures
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In Defence of International Law, or Szymon Rundstein’s Idea of the Law of Nations
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Michał Grochowski dr hab. inż.
PeopleProfessor and a Head of the Department of Intelligent Control and Decision Support Systems at Gdansk University of Technology (GUT). He is also a Member of the Board of the Digital Technologies Center of GUT. He received his M.Sc. degree in Control Engineering in 2000 from the Electrical and Control Engineering Faculty at the GUT. In 2004 he received a Ph.D. degree in Automatic Control and Robotics from this...
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Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set
PublicationLet f be an R^n-diffeomorphism, where n = 2, 3, for which {0} is an isolated invariant set. We determine all possible forms of the sequences of fixed point indices of iterates of f at 0, {ind(f n, 0)}_n, confirming in R3 the conjecture of Ruiz del Portal and Salazar (J Differ Equ 249, 989–1013, 2010).
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Stability of Discrete Fractional Order State-space Systems
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Stability by linear approximation for time scale dynamical systems
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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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General quasilinearization method for systems of differential equations with a singular matrix
PublicationStosując metodę kwazilinearyzacji badano problem rozwiązań przybliżonych dla układów równań różniczkowych z macierzą osobliwą. Pokazano zbieżność kwadratową odpowiednich ciągów monotonicznych.
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On neutral differential equations and the monotone iterative method
PublicationThe application of the monotone iterative method to neutral differential equations with deviating arguments is considered in this paper. We formulate existence results giving sufficient conditions which guarantee that such problems have solutions. This approach is new and to the Authors' knowledge, this is the first paper when the monotone iterative method is applied to neutral first-order differential equations with deviating...
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Graphs with equal domination and certified domination numbers
PublicationA setDof vertices of a graphG= (VG,EG) is a dominating set ofGif every vertexinVG−Dis adjacent to at least one vertex inD. The domination number (upper dominationnumber, respectively) ofG, denoted byγ(G) (Γ(G), respectively), is the cardinality ofa smallest (largest minimal, respectively) dominating set ofG. A subsetD⊆VGis calleda certified dominating set ofGifDis a dominating set ofGand every vertex inDhas eitherzero...
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Paired domination subdivision and multisubdivision numbers of graphs
PublicationThe paired domination subdivision number sdpr(G) of a graph G is the minimum number of edges that must be subdivided (where an edge can be subdivided at most once) in order to increase the paired domination number of G. We prove that the decision problem of the paired domination subdivision number is NP-complete even for bipartite graphs. For this reason we define the paired domination muttisubdivision number of a nonempty graph...
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The Impact of Strong Electromagnetic Pulses on the Operation Process of Electronic Equipment and Systems Used in Intelligent Buildings
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NbIr 2 B 2 and TaIr 2 B 2 – New Low Symmetry Noncentrosymmetric Superconductors with Strong Spin–Orbit Coupling
PublicationSuperconductivity was first observed more than a century ago, but the search for new superconducting materials remains a challenge. The Cooper pairs in superconductors are ideal embodiments of quantum entanglement. Thus, novel superconductors can be critical for both learning about electronic systems in condensed matter and for possible application in future quantum technologies. Here two previously unreported materials, NbIr2B2...
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Designing control and protection systems with regard to functional safety aspects.
PublicationZaproponowano zintegrowane podejście w ocenie bezpieczeństwa funkcjonalnego systemów E/E/PE. Niepewność probabilistycznych miar ryzyka dla elektrycznych, elektronicznych i programowalnych elektronicznych systemów jest reprezentowana za pomocą przedziałów, które są porównywane z przedziałowymi kryteriami probabilistycznymi zdefiniowanymi dla tych systemów przez normę IEC 61508, w postaci czterech poziomów nienaruszalności bezpieczeństwa...
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Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems
PublicationPraca dotyczy numerycznej aproksymacji rozwiązań zagadnień początkowo brzegowych dla układów quasiliniowych równań różniczkowo funkcyjnych pierwszego rzędu. Stosuje się metodę różnicową typu Eulera. Siatka otrzymywana jest za pomocą numerycznego rozwiązywania równań różniczkowo funkcyjnych bicharakterystyk.Stabilność schematu różnicowego jest dowodzona metodą porównawczą. O danych funkcjach zakłada się, że spełniają nieliniowe...
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On the generalized model of shell structures with functional cross-sections
PublicationIn the present study, a single general formulation has been presented for the analysis of various shell-shaped structures. The proposed model is comprehensive and a variety of theories can be used based on it. The cross-section of the shell structure can be arbitrarily analyzed with the presented equations. In other words, various types of shell structures, including cylindrical, conical, spherical, elliptical, hyperbolic, parabolic,...
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Stability & Dynamics of Ship and Offshore Structures I S2020/21
e-Learning CoursesLectures and exercises from the course "Stability & Dynamics of Ship and Offshore Structures I"
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A method of Functional Test interval selection with regards to Machinery and Economical aspects
PublicationThis paper discusses the problem of choosing the optimal frequency of functional test, including the reliability calculations and production efficiency, but also the effect of company risk management. The proof test as a part of the functional test interval is well described for the process industry. Unfortunately, this situation is not the case for the machinery safety functions with low demand mode. Afterwards, it is presented...
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PROTEINS-STRUCTURE FUNCTION AND BIOINFORMATICS
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Joanna Janczewska prof. dr hab.
PeopleJoanna Janczewska obtained her PhD degree at the University of Gdansk in 2002. From October 1999 to September 2004 she was an assistant at the University of Gdansk. Since October 2004 she has been an assistant professor at the Gdansk University of Technology. Moreover, from October 2008 to September 2010 she had a visiting position in the Institute of Mathematics of the Polish Academy of Sciences. Her mathematical interests...
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<strong>Non-saxicolous lecideoid lichens in southern South America</strong>
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Pose-Invariant Face Detection by Replacing Deep Neurons with Capsules for Thermal Imagery in Telemedicine
PublicationAbstract— The aim of this work was to examine the potential of thermal imaging as a cost-effective tool for convenient, non- intrusive remote monitoring of elderly people in different possible head orientations, without imposing specific behavior on users, e.g. looking toward the camera. Illumination and pose invariant head tracking is important for many medical applications as it can provide information, e.g. about vital signs, sensory...