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Wyświetlanie 1-15 z 81
Tytuł:
Zastosowanie algebr hiperzespolonych w przetwarzaniu sygnałów
Application of hypercomplex algebras in signal processing
Autorzy:
Błaszczyk, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/134792.pdf
Data publikacji:
2016
Wydawca:
ADVSEO
Tematy:
hypercomplex algebras
quaternion Fourier transform
octonion Fourier transform
system analysis
partial differential equations
Opis:
The subject of this paper is the application of hypercomplex algebras (in particular quaternions and octonions) in the analysis of time-invariant linear systems. We present the Cayley-Dickson construction of hypercomplex algebras and its important properties. Moreover, we formulate the concept of quaternion and octonion Fourier transform and their properties important from the signal processing point of view. We present an overview of known quaternion Fourier transform applications in the analysis of systems and partial differential equations of two variables. We also point out the direction of further work in the subject of application of the octonion Fourier transform in system analysis and analysis of partial differential equations of three variables. Such considerations are possible thanks to recently proved properties of octonion Fourier transform, which are also stated in this paper.
Źródło:
Technical Issues; 2016, 3; 13-18
2392-3954
Pojawia się w:
Technical Issues
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Well-Posed Linear Systems - a Survey With Emphasis on Conservative Systems
Autorzy:
Weiss, G.
Staffans, O. J.
Tucsnak, M.
Powiązania:
https://bibliotekanauki.pl/articles/908320.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system liniowy
układ zachowawczy
równanie różniczkowe
well-posed linear systems
regular linear system
operator semigroup
consevative system
scattering theory
time-flow-inversion
differential equations in Hilbert space
beam equation
Opis:
We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space. We give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 7-33
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Transmitter diversity antenna selection techniques for wireless channels utilizing differential space-time block codes
Autorzy:
Tran, L. C.
Wysocki, T. A.
Mertins, A.
Seberry, J.
Powiązania:
https://bibliotekanauki.pl/articles/309431.pdf
Data publikacji:
2006
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
differential space-time modulation
differential space-time block codes
diversity antenna selection
MIMO system
Opis:
The paper deals with transmitter diversity antenna selection techniques (ASTs) for wireless channels utilizing differential space-time block codes (DSTBCs). The proposed ASTs tend to maximize the signal-to-noise ratio (SNR) of those channels. Particularly, we propose here the so-called general (M,N;K) AST/DSTBC scheme for such channels. Then, based on this AST, we propose two modified ASTs which are more amenable to practical implementation, namely the restricted (M,N;K) AST/DSTBC scheme and the (N + —N,N;K) AST/DSTBC scheme. The restricted (M,N;K) AST/DSTBC scheme provides relatively good bit error performance using only one feedback bit for transmission diversity purpose, while the (N+ —N,N;K) AST/DSTBC scheme shortens the time required to process feedback information. These techniques remarkably improve bit error rate (BER) performance of wireless channels using DSTBCs with a limited number (typically 1 or 2) of training symbols per each coherent duration of the channel. Simulations show that the proposed AST/DSTBC schemes outperform the DSTBCs without antenna selection even with only 1 training symbol.
Źródło:
Journal of Telecommunications and Information Technology; 2006, 2; 79-96
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Transmitancje operatorowe pewnej klasy układów typu hiperbolicznego z wejściami brzegowymi
Transfer function models for a class of hyperbolic systems with boundary inputs
Autorzy:
Bartecki, K.
Powiązania:
https://bibliotekanauki.pl/articles/156137.pdf
Data publikacji:
2014
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
układ o parametrach rozłożonych
równanie różniczkowe cząstkowe
układ hiperboliczny
transmitancja operatorowa
wymiennik ciepła
distributed parameter system
partial differential equation
hyperbolic system
transfer function
heat exchanger
Opis:
W artykule przedstawiono ogólną postać transmitancji operatorowych pewnej klasy układów o parametrach rozłożonych, opisanych dwoma równaniami różniczkowymi cząstkowymi typu hiperbolicznego. Zakładając istnienie w układzie dwóch wejść o charakterze wymuszeń brzegowych typu Dirichleta oraz dwóch wyjść rozłożonych wzdłuż osi zmiennej przestrzennej, przedstawiono wyrażenia opisujące transmitancje operatorowe układu dla dwóch różnych konfiguracji sygnałów wejściowych. Rozważania zilustrowano praktycznym przykładem wymiennika ciepła pracującego w układach: współ- oraz przeciwprądowym.
Transfer function models for a class of distributed parameter systems described by the two hyperbolic partial differential equations defined on a one-dimensional finite spatial domain are considered. Assuming two boundary inputs of Dirichlet type, the closed-form expressions for the individual elements of the 22 transfer function matrix are proposed based on the decoupled canonical representation of the system. The influence of the location of the boundary inputs on the transfer function representation is demonstrated for two different input configurations. The first one is the so-called congruent arrangement, for which both inputs act on the system at the same spatial position, l=0 (Fig. 1). The second one is the incongruent arrangement, where both inputs act on the system at its opposite ends, l=0 and l=L, respectively (Fig. 2). The considerations are illustrated with a practical example of a shell and tube heat exchanger operating in parallel- and countercurrent-flow modes (Fig. 3), which correspond to the two abovementioned boundary input configurations. Based on the transfer function model, both frequency and time responses of the system can be determined, which can be useful e.g. in the case of the model-based fault detection scheme.
Źródło:
Pomiary Automatyka Kontrola; 2014, R. 60, nr 1, 1; 49-52
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Tracking and disturbance rejection in a nonlinear control system with time delay
Autorzy:
Chien, T.-L.
Chen, C.-C.
Wu, C.-J.
Huang, Y.-C.
Chen, C.-Y.
Powiązania:
https://bibliotekanauki.pl/articles/969741.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
disturbance rejection
automobile idle-speed control system
differential geometry approach
composite Lyapunov approach
Opis:
We consider the problem of designing a feedback control law in order to reject the unknown bounded disturbance and achieve tracking of reference inputs in control systems described by a class of nonlinear time-delay differential-algebraic equations. Based on the input-output feedback linearization technique and Lya-pimov method for nonlinear state feedback synthesis, a robust globally asymptotical output tracking controller design methodology for nonlinear time-delay control systems with delays on the states and the input is developed. The underlying theoretical approaches are the differential geometry approach and the composite Lyapunov approach. For the view of practical application, the proposed control methodology has been successfully applied to the famous nonlinear automobile idle-speed control system problem.
Źródło:
Control and Cybernetics; 2007, 36, 1; 59-74
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Propagation Characteristic of DGPS Correction Data Signal at Inland Sea - Propagation Characteristic on LF/MF Band Radio Wave
Autorzy:
Okuda, S.
Toba, M.
Arai, Y.
Powiązania:
https://bibliotekanauki.pl/articles/116409.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Tematy:
Global Maritime Distress and Safety System (GMDSS)
Inland Sea
Propagation Characteristic
Differential Global Positioning System (DGPS)
Radio Wave
LF Band Radio Wave
MF Band Radio Wave
DGPS Correction Data Signal
Opis:
User at the Inland Sea requires high position accuracy which is 5 m (2drms) or less. Therefore the position accuracy of standalone GPS is insufficiency. Consequently it needs to use DGPS for navigator sailing the Inland Sea. We executed numerical simulation of the propagation characteristic on the extended line of bridge pier at opposite side from DGPS station, and already confirmed that bit error in DGPS correction data signal occurs, and that correction data could not form by bit error. Furthermore, we carried out numerical simulation of the propagation characteristic of DGPS correction data signal received at sailing through center of the bridge, and solved receiving condition of DGPS correction data signal before and after passing through the bridge. In this paper, we executed to inspect mutually results of electric field intensity simulation for oversea and overland propagation on some sea area of the Inland Sea and measuring results of electric field intensity for DGPS correction data signal, and evaluated the possibility of abnormal propagation comprehensively.
Źródło:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2013, 7, 4; 549-554
2083-6473
2083-6481
Pojawia się w:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The problem of external decomposition of a complex plane with three poles
Problem ekstremalnego rozkładu płaszczyzny zespolonej z dowolnymi biegunami
Autorzy:
Bakhtin, Aleksandr
Vyhivska, Liudmyla
Powiązania:
https://bibliotekanauki.pl/articles/1837649.pdf
Data publikacji:
2021-08-12
Wydawca:
Łódzkie Towarzystwo Naukowe
Tematy:
inner radius of domain
non-overlapping domains
radial system of points
separating transformation
quadratic differential
Green’s function
wewnętrzny promień obszaru
rozłączne obszary
promieniowy system punktów
transformacja rozdzielająca
różniczka kwadratowa
funkcja Greena
Opis:
Although much research (f. e. [1], [3], [5], [7–15]) has been devoted to the extremal problems of a geometric function theory associated with estimates of functionals defined on systems of non-overlapping domains, however, in the general case the problems remain unsolved. The paper describes the problem of finding the maximum of a functional. This problem is to find a maximum of the product of inner radii of mutually non-overlapping symmetric domains with respect to a unit circle and the inner radius in some positive certain degree of the domain with respect to zero and description of extreme configurations. The topic of the paper is devoted to the study of the problem of the classical direction of the geometric theory of complex variable functions, namely, the extremal problems for non-overlapping domains
Chociaż wiele badań (zob. [1], [3], [5], [7–15]) zostało poświęconych problemom ekstremalnym geometrycznej teorii funkcji, związanych z oszacowaniem funkcjonałów zdefiniowanych na układach rozłącznych obszarów, to jednak w ogólnym przypadku problemy te pozostają nadal otwarte. Praca opisuje problem znalezienia maksimum pewnego funkcjonału. Ten problem, to znalezienie maksimum iloczynu wewnętrznych promieni wzajemnie rozłącznych symetrycznych obszarów (względem okręgu jednostkowego) i wewnętrznego promienia w pewnej dodatniej potędze w obszarze względem zera oraz opis tych ekstremalnych konfiguracji. Tematem pracy jest badanie problemu z klasycznych zagadnień geometrycznej teorii funkcji, a mianowicie problemów ekstremalnych w wzajemnie rozłącznych obszarach
Źródło:
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations; 2020, 70, 1; 145-152
1895-7838
2450-9329
Pojawia się w:
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Numerical solution for the problem of heat and mass flow in the soil heated with warm air
Autorzy:
Bożek, B.
Kurpaska, S.
Powiązania:
https://bibliotekanauki.pl/articles/241006.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
numerical solution
heat flow
mass flow
soils
warm air
differential equations
greenhouse substrate
system of heating pipes
explicite-implicite difference scheme
Opis:
In this paper a difference method of solving the system of differential equations is presented for differential equations, describing the distribution of temperature and water content in the greenhouse substrate heated with a system of heating pipes. The algorithm of solving the proposed method (explicite-implicite difference scheme) is presented. In addition, the effects of temperature and water content changes obtained from the solution of proposed the model as well as the model where the thermal diffusion of mass was included were compared.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2000, 47, 1-4; 75-96
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Lipschitz Picard successive step method in hydrodynamic lubrication problem
Autorzy:
Wierzcholski, K.
Powiązania:
https://bibliotekanauki.pl/articles/247949.pdf
Data publikacji:
2012
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
Unified Pickard method
approximation of solutions
system of partial differential equations
Opis:
The paper shows the successive steps of approximation of Picard unification for the solution of the non-isothermal fluid flow in thin layer including inertia forces and apparent viscosities described by the non-linear dependences. In this paper is presented a unified semi analytical method of solution of the asymmetrical, laminar, steady and unsteady, non-Newtonian lubrication problem flow between two non-rotational in general, convex, differentiable and movable surfaces when the time t depended gap between mentioned surfaces has quite an arbitrary geometry. The presented considerations relate not only to the rotational cooperating surfaces but also to the arbitrary non-rotational surfaces in general. The parallel and longitudinal intersections of mentioned surfaces are curvilinear and non-monotone in general. We consider the non-Newtonian lubricant for non-linear constitutive equations taking into account Reiner Rivlin power law relationship as well Rivlin-Ericksen formula for viscoelastic fluids. The non-Newtonian properties create non-linear dependencies between strain and stress. Moreover, the dynamic viscosity or apparent dynamic viscosity of numerous lubricant liquids with various additions often decreases along with shear rate increasing during motion. Dynamic viscosity of lubricant fluids inside very thin micro and nano boundary layers depends on Young’s modulus of the cell of surface body being in contact with the fluid.
Źródło:
Journal of KONES; 2012, 19, 1; 483-490
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The existence of consensus of a leader-following problem with Caputo fractional derivative
Autorzy:
Schmeidel, Ewa
Powiązania:
https://bibliotekanauki.pl/articles/254771.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
leader-following problem
Caputo fractional differential equation
consensus, nonlinear system Schauder fixed point theorem
Opis:
n this paper, consensus of a leader-following problem is investigated. The leader-following problem describes a dynamics of the leader and a number of agents. The trajectory of the leader is given. The dynamics of each agent depends on the leader trajectory and others agents' inputs. Here, the leader-following problem is modelled by a system of nonlinear equations with Caputo fractional derivative, which can be rewritten as a system of Volterra equations. The main tools in the investigation are the properties of the resolvent kernel corresponding to the Volterra equations, and Schauder fixed point theorem. By study of the existence of an asymptotically stable solution of a suitable Volterra system, the sufficient conditions for consensus of the leader-following problem are obtained.
Źródło:
Opuscula Mathematica; 2019, 39, 1; 77-89
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The analysis of the influence of a torsional vibration damper on transversal displacement of a crankshaft
Autorzy:
Chiliński, B.
Dziurdź, J.
Zawisza, M.
Powiązania:
https://bibliotekanauki.pl/articles/949500.pdf
Data publikacji:
2016
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
crankshaft system
torsional vibrations damper system of differential equation
numerical simulations
Opis:
The article presents a consideration of the influence of a damper of torsional vibrations (TVD) on transverse dynamics of the crankshaft. Dampers of this type work based on the dynamic eliminator of vibrations. The systems of this type in modern combustion engines are more often used to reduce torsional vibrations. It is strictly connected with the increase of fatigue life of the crankshaft in case when its amplitude of vibrations has a crucial meaning. Computation models used to choose a damper assume that transverse and torsional vibrations occurring in a crank system are not coupled. Modern trends in machine design make the new devices lighter and less rigid. Therefore, the couplings between small vibrations may be more important. Therefore, the effects observed in angular vibrations can be transmitted to transverse vibrations. In this context, the impact of dampers TVD on transverse dynamics is particularly interesting. In the introduction, the article discusses the basic types of torsional vibration dampers and the method of selection of this type of systems. The next part of the article presents the model of a combustion engine with a dynamic eliminator of vibrations, which includes bending-torsional vibrations occurring in the system. For this purpose, the linear relation of the vector of generalized co-ordinates and generalized forces in the system was assumed. The next part shows numerical simulations, which were carried out in the paper. The paper presents obtained results with their further analysis in frequency domain. The whole paper is summarized with synthetic conclusions on the simulations, the impact of applied eliminator on the dynamics of the entire crank system, in particular transverse vibrations. In addition, there was indicated a possibility of using presented results in research and diagnostics used in automotive industry of torsional vibration dampers.
Źródło:
Journal of KONES; 2016, 23, 4; 33-39
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Study of diesel fuel feed system with divided processes of forcing and dosing out
Autorzy:
Slavutskiy, V.
Salykin, E.
Belozubov, Y.
Kanygin, Z.
Powiązania:
https://bibliotekanauki.pl/articles/246069.pdf
Data publikacji:
2009
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
system modernization
locking device
giving phase
pilot giving
differential characteristic
Opis:
A fuel delivery method that patented by authors realised by numerical and natural experiments. The traditional system is added a lock organ before an injector. The injector cavity is connected with the force main only for the time of injecting fuel. After a valve closing the injector cavity is connected with the cavity of low pressure. When cutting off at the end of the working plunger stroke the force main is discharging. In a delivery high-pressure the accumulation of energy flow takes place, it increases speed growing of pressure in the injection beginning. The valve closing is accompanied by fast pressure decrease in the end of injection process. Such feeder of fuel allows dividing forcing and dosing out processes. It improves, in comparison with traditional, both adaptive and power properties of system. Numerical experiments confirm working capacity of the modernised fuel feed system. Defined influence of its basic constructive and adjusting parameters on indicators of process of fuel delivery is presented. The offered system allows a flexible adjustment of the cycle fuel feed when changing a high speed regime as well as providing for a set speed Diesel characteristic and a versatile regulation if the cycle feed at Diesel start. The numerical experiments confirm the efficiency of the experimental system of fuel feed.
Źródło:
Journal of KONES; 2009, 16, 1; 459-464
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Steady-state analysis for a class of hyperbolic systems with boundary inputs
Autorzy:
Bartecki, K.
Powiązania:
https://bibliotekanauki.pl/articles/229634.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
distributed parameter system
partial differential equation
hyperbolic system
steady-state solution
heat exchanger
Opis:
Results of a steady-state analysis performed for a class of distributed parameter systems described by hyperbolic partial differential equations defined on a one-dimensional spatial domain are presented. For the case of the system with two state variables and two boundary inputs, the analytical expressions for the steady-state distribution of the state variables are derived, both in the exponential and in the hyperbolic form. The influence of the location of the boundary inputs on the steady-state response is demonstrated. The considerations are illustrated with a practical example of a shell and tube heat exchanger operating in parallel- and countercurrent-flow modes.
Źródło:
Archives of Control Sciences; 2013, 23, 3; 295-310
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spatial model of the unsprung wheeled machine’s dynamic system
Autorzy:
Chwastek, S.
Powiązania:
https://bibliotekanauki.pl/articles/241952.pdf
Data publikacji:
2014
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
spatial model
dynamic system
mobile heavy machines
unsprung vehicles
"galloping" effect
"snake meandering” effect
adhesion factor
slipping action
vibration
differential gear
Opis:
Mobile heavy machines as unsprung vehicles exhibit low dissipation ability, hence the ride even at low speeds may give rise to intensive vertical and angular vibration. Vibrations thus produced are mostly in the low-frequency range and hence energy dissipation in tires will reduce the vibration intensity in a minor degree only. Particularly dangerous situations occur when the road wheels break away from the road surface due to the ’galloping’ effect. Kinematic excitation acting on the wheels is mostly uncorrelated stochastic (random) processes, giving rise to the "snake meandering" effect. That implies a major restriction on the ride velocity, which negatively affects the machine performance. The motion of tired wheels will always involve certain slipping. While investigating the feasibility of increasing the efficiency of the vibration reduction systems, one ought to take into account the variable adhesion of road wheels due to different dynamic loading acting on the vehicle axles during the ride. This study investigates the motion of unsprung mobile machines, taking into account the dynamic processes in the driving system under the conditions of the variable adhesion of road wheels. The model of interaction between a tired wheel and the terrain takes into account the relationship between the road wheel adhesion factor and the slipping action, as well as the impacts of the differential gear on distribution of drive torque. The 3D (spatial) model of a backhoe loader is considered. It is a two-axle self-propelled machine on a wheeled chassis. The mathematical model constitutes nonlinear and non-stationary differential equations of motion. Their stability is therefore associated with vibration intensity. Simulations in the time domain were supported by Matlab-Simulink. The purpose of this study is to improve the safety features during the ride of mobile heavy machines, basing on the parametric optimization of the model.
Źródło:
Journal of KONES; 2014, 21, 2; 45-52
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some constructions of linear extensions of dynamical systems
Pewne konstrukcje liniowych rozszerzeń układów dynamicznych
Autorzy:
Pączko, D.
Powiązania:
https://bibliotekanauki.pl/articles/87312.pdf
Data publikacji:
2011
Wydawca:
Politechnika Śląska. Wydawnictwo Politechniki Śląskiej
Tematy:
układ dynamiczny
rozszerzenie liniowe
równanie różniczkowe
funkcja Greena
dynamical system
linear extension
differential equation
Green function
Opis:
The paper presents a method to transform two weakly regular systems to one regular system. Additionally, it is proved that there is no linear change of variables reducing the extension of a dynamical system to a conjugate system where the number of normal variables is three.
Wartykule przedstawiono metodę doprowadzenia dwóch układów słabo regularnych do jednego układu regularnego. Dodatkowo pokazano, że niemożliwe jest doprowadzenie liniowego rozszerzenia układu dynamicznego do układu sprzężonego, w przypadku gdy liczba zmiennych normalnych wynosi trzy.
Źródło:
Zeszyty Naukowe. Matematyka Stosowana / Politechnika Śląska; 2011, 1; 37-49
2084-073X
Pojawia się w:
Zeszyty Naukowe. Matematyka Stosowana / Politechnika Śląska
Dostawca treści:
Biblioteka Nauki
Artykuł
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