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Wyniki wyszukiwania dla: STRONGLY INDEFINITE OPERATOR
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Equivariant Conley index in Hilbert spaces and applications to strongly indefinite problems
PublikacjaW pracy zdefiniowano teorię indeksu Conley`a w przestrzeni Hilberta z działaniem zwartej grupy Liego. Została ona wykorzystana do szacowania z dołu ilości rozwiązań periodycznych w teorii nieliniowych autonomicznych układów Hamiltona.
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The cohomological span of LS-Conley index
PublikacjaIn this paper we introduce a new homotopy invariant – the cohomological span of LS-Conley index. We prove the theorems on the existence of critical points for a class of strongly indefinite functionals with the gradient of the form Lx+K(x), where L is bounded linear and K is completely continuous. We give examples of Hamiltonian systems for which our methods give better results than the Morse inequalities. We also give a formula...
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Evaluation of Response Amplitude Operator of Ship Roll Motions Based on the Experiments in White Noise Waves
PublikacjaEvaluation of the response amplitude operator (RAO) function for ship wave frequency motions by means of scale model tests in regular waves is a standard procedure conducted by hydrodynamic model testing institutions. The resulting RAO function allows for evaluating sufficiently reliable seakeeping predictions for low to moderate sea states. However, for standard hull forms, correct prediction of roll motion in irregular wave (and...
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Multi-state multi-reference Møller-Plesset second-order perturbation theory for molecular calculations
PublikacjaThis work presents multi‐state multi‐reference Møller–Plesset second‐order perturbation theory as a variant of multi‐reference perturbation theory to treat electron correlation in molecules. An effective Hamiltonian is constructed from the first‐order wave operator to treat several strongly interacting electronic states simultaneously. The wave operator is obtained by solving the generalized Bloch equation within the first‐order...
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A Note on Fractional Curl Operator
PublikacjaIn this letter, we demonstrate that the fractional curl operator, widely used in electromagnetics since 1998, is essentially a rotation operation of components of the complex Riemann–Silberstein vector representing the electromagnetic field. It occurs that after the wave decomposition into circular polarisations, the standard duality rotation with the angle depending on the fractional order is applied to the left-handed basis vector...
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Decision-Making Models of the Human-Operator as an Element of the Socio-Technical Systems
PublikacjaThe authors of the chapter proved that the fundamental intellectual processes, which lie on the basis of decision-making behavior of the human-operator, could be identified on the bases on the analogies with the devices (elements). The basic intellectual processes of the Rational decision-making models can be adequately identified by the transient processes of the PID-controller; the intellectual processes of the Bounded Rationality...
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Heteroclinic solutions of Allen-Cahn type equations with a general elliptic operator
PublikacjaWe consider a generalization of the Allen-Cahn type equation in divergence form $-\rm{div}(\nabla G(\nabla u(x,y)))+F_u(x,y,u(x,y))=0$. This is more general than the usual Laplace operator. We prove the existence and regularity of heteroclinic solutions under standard ellipticity and $m$-growth conditions.
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Topological degree for equivariant gradient perturbations of an unbounded self-adjoint operator in Hilbert space
PublikacjaWe present a version of the equivariant gradient degree defined for equivariant gradient perturbations of an equivariant unbounded self-adjoint operator with purely discrete spectrum in Hilbert space. Two possible applications are discussed.
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Time fractional analysis of Casson fluid with application of novel hybrid fractional derivative operator
PublikacjaA new approach is used to investigate the analytical solutions of the mathematical fractional Casson fluid model that is described by the Constant Proportional Caputo fractional operator having non-local and singular kernel near an infinitely vertical plate. The phenomenon has been expressed in terms of partial differential equations, and the governing equations were then transformed in non-dimensional form. For the sake of generalized...
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Advances in Operator Theory
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JOURNAL OF OPERATOR THEORY
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Physics of Strongly-coupled Dopant-atoms in Nanodevices
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Reactive Energy Billing in Operator Tariffs in Poland
PublikacjaThe paper describes the current method of reactive energy billing in the tariffs of distribution grid operators in Poland. The current solutions are subject to critical assessment. Issues related to the motivation effect of the current solutions on consumers are analysed. Problems that occur in relation with connecting distributed generators to the distribution grid and challenges related to prosumer billing are indicated.
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A Population-Based Method with Selection of a Search Operator
PublikacjaThis paper presents a method based on a population in which the parameters of individuals can be processed by operators from various population-based algorithms. The mechanism of selecting operators is based on the introduction of an additional binary parameters vector located in each individual, on the basis of which it is decided which operators are to be used to modify individuals’ parameters. Thus, in the proposed approach,...
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Multiple solutions of indefinite elliptic systems via a Galerkin-type Con- ley index theory
PublikacjaW pracy wykazano prawdziwość hipotezy Angenenta i van der Vorsta dotyczącąilości rozwiązań pewnego układu eliptycznego. Liczbę rozwiazań szacuje się zdołu przy pomocy niezmiennika topologicznego zwanego uogólnionym indeksemMorse`a. W dowodzie stosuje sie niezmienniczy index Conleya w przestrzeniachHilberta.
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Entanglement of Two Charged Bosons in Strongly Anisotropic Traps
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Strongly anisotropic surface elasticity and antiplane surface waves
PublikacjaWithin the new model of surface elasticity, the propagation of anti-plane surface waves is discussed. For the proposed model, the surface strain energy depends on surface stretching and on changing of curvature along a preferred direction. From the continuum mechanics point of view, the model describes finite deformations of an elastic solid with an elastic membrane attached on its boundary reinforced by a family of aligned elastic...
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Mechatronic design o strongly nonlinear systems on a basis of three wheeled mobile platform
PublikacjaRemarkable grow in demand both of mobile platform operability performance and reduction of project leading time development encourage to apply modern algorithms and reliable engineering tools for the design process. The paper discusses the mechatronic design applied for the surveillance system based on the energy performance index algorithm. The exploited mechatronic techniques i.e. virtual prototyping, Hardware-In-the-Loop Simulation...
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DIAGNOSTYKA KABLI ŚREDNIEGO NAPIĘCIA W ENERGA-OPERATOR SA
PublikacjaW referacie przedstawiono wyniki pomiarów diagnostycznych kabli średniego napięcia (SN) o izolacji polietylenowej, o różnym czasie eksploatacji do lat 15. Analizowano poziom wyładowań niezupełnych (wnz) oraz współczynnik strat dielektrycznych tg mierzony przy oddziaływaniu napięcia o częstotliwości 0,1 Hz (VLF). Znaczne zróżnicowanie otrzymanych wyników pomiarów wskazuje na skuteczność wykrywania zachodzących procesów starzeniowych...
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Dynamics of Systems with a Discontinuous Hysteresis Operator and Interval Translation Maps
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Complex Analysis and Operator Theory
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INTEGRAL EQUATIONS AND OPERATOR THEORY
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Formation of Enormously Strongly Bound Anionic Clusters Predicted in Binary Superacids
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Synthesis and Biological Activity of Strongly Fluorescent Tricyclic Analogues of Acyclovir and Ganciclovir
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Dirichlet-to-Neumann and Neumann-to-Dirichlet methods for eigenvalues and eigenfunctions of the Laplace operator
PublikacjaPrzedstawiono dwie metody służące do znajdowania wartości własnych i funkcji własnych równania Helmholtza w ograniczonej dziedzinie. Punktem wyjścia była konstrukcja zasad wariacyjnych uwzględniających możliwość stosowania nieciągłych funkcji próbnych (lub funkcji próbnych o nieciągłych pochodnych normalnych). Następny etap to wykorzystanie powierzchniowych operatorów całkowych typu DtN i NtD. Efektywność metod przetestowano na...
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Mountain pass solutions to Euler-Lagrange equations with general anisotropic operator
PublikacjaUsing the Mountain Pass Theorem we show that the problem \begin{equation*} \begin{cases} \frac{d}{dt}\Lcal_v(t,u(t),\dot u(t))=\Lcal_x(t,u(t),\dot u(t))\quad \text{ for a.e. }t\in[a,b]\\ u(a)=u(b)=0 \end{cases} \end{equation*} has a solution in anisotropic Orlicz-Sobolev space. We consider Lagrangian $\Lcal=F(t,x,v)+V(t,x)+\langle f(t), x\rangle$ with growth conditions determined by anisotropic G-function and some geometric conditions...
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A strongly bound OF3- anion and its unstable parent neutral OF3 species
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New synthesis route of highly porous InxCo4Sb12 with strongly reduced thermal conductivity
PublikacjaHighly porous, In-filled CoSb3 skutterudite materials with an attractive thermoelectric figure of merit (ZT * 1) and corresponding dense samples were fabricated through the cost-effective method of reduction in oxides in dry hydrogen and the pulsed electric current sintering (PECS) method, respectively. The reduction process was described in detail using in situ thermogravimetric analysis of Co2O3, Sb2O3 and In(NO3)35H2O separately...
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ERAP1 and HLA-C*06 are strongly associated with the risk of psoriasis in the population of northern Poland
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Ground-state correlation properties of charged bosons trapped in strongly anisotropic harmonic potentials
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Simulating Power Generation from Photovoltaics in the Polish Power System Based on Ground Meteorological Measurements—First Tests Based on Transmission System Operator Data
PublikacjaThe Polish power system is undergoing a slow process of transformation from coal to one that is renewables dominated. Although coal will remain a fundamental fuel in the coming years, the recent upsurge in installed capacity of photovoltaic (PV) systems should draw significant attention. Owning to the fact that the Polish Transmission System Operator recently published the PV hourly generation time series in this article, we aim...
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Opportunistic tri-band carrier aggregation in licensed spectrum for multi-operator 5G hetnet
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Local properties of the solution set of the operator equation in Banach spaces in a neighbourhood of a bifurcation point.
PublikacjaW niniejszej pracy badamy problem istnienia bifurkacji w zbiorze rozwiązań równania F(x,p)=0, gdzie F jest odwzorowaniem klasy C^2z iloczynu kartezjańskiego X i R^k do Y, X i Y są przestrzeniami Banacha takimi, że X jest podprzestrzenią liniową Y. Co więcej, dany jest iloczyn skalarny w Y, ciągły względem norm w X i Y. Pokazujemy, że pod pewnymi warunkami (0,p) jest punktem bifurkacji i opisujemyzbiór rozwiązań równania F(x,p)=0...
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Effects of strongly aggregated silica nanoparticles on interfacial behaviour of water bound to lactic acid bacteria
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Experimentally feasible semi-device-independent certification of four-outcome positive-operator-valued measurements
PublikacjaRecently the quantum information science community devoted a lot of attention to the theoretical and practical aspects of generalized measurements, the formalism of all possible quantum operations leading to acquisition of classical information. On the other hand, due to imperfections present in quantum devices, and limited thrust to them, a trend of formulating quantum information tasks in a semi-device-independent manner emerged....
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Excitation energy migration in uniaxially oriented polymer films: a comparison between strongly and weakly organized systems
PublikacjaMechanizm wieloetapowej migracji energii w osiowo rozciąganych foliach polimerowych jest analizowany w układach o silnej i słabej orientacji molekuł barwników umieszczonych w matrycach poliwinylowych. Porównanie tych różnie orientujących się układów bazuje na zjawisku depolaryzacji stężeniowej anizotropii emisji, symulacjach Monte Carlo i wartościach liniowego dichroizmu. Pokazano, że uporządkowanie momentów przejścia fluoroforów...
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Closed forms of the Green's function and the generalized Green's function for the Helmholtz operator on the N-dimensional unit sphere
PublikacjaPokazano, że funkcję Greena dla operatora Helmholtza na N-wymiarowej sferze jednostkowej można wyrazić przez funcję Gegenbauera pierwszego rodzaju. W tych przypadkach, w których funkcja Greena nie istnieje, skonstruowano uogólnioną funkcję Greena.
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Effect of Double-Slope Modulation Signals on Conducted Emissions and Efficiency of Strongly Coupled Magnetic Resonance WPT Systems
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Temperature, velocity and mean turbulence structure in strongly heated internal gas flows. Comparison of numerical predictions with data
PublikacjaW pracy przedstawiono symulacje numeryczne przy użyciu szeregu modeli turbulencji celem analizy silnie ogrzewanego przepływu powietrza w pionowych rurach. Obliczenia porównano z danymi eksperymentalnymi. Analizowano modyfikacje pola prędkości, temperatury i turbulencji. W rozpatrywanych warunkach odnotowano silną wrażliwość obliczeń na silnie zmieniające się pole temperatury. Stwierdzono, że analizowane przypadki najlepiej odzwierciedla...
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Analiza awarii transformatorów typu tdr 40000/110 w Energa Operator s.a. oddział w Gdańsku
PublikacjaW referacie przedstawiono przebieg awarii dwóch transformatorów typu TDR 40000/110, które wy-stąpiły odpowiednio w roku 2001 i 2009 w tej samej stacji transformatorowo - rozdzielczej 110/15 kV. W obu przypadkach uszkodzeniu uległo jedno z uzwojeń strony średniego napięcia, które w wyniku sił elek-trodynamicznych towarzyszących przepływowi prądów zwarciowych spowodowało przemieszczenie się uzwojenia w kierunku jarzma, zniszczenie...
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CALIBRATION OF LOW ENERGY X-RAY EXPERIMENTAL SETUP WITH STRONGLY FILTERED BEAM USING DATA FROM A SEMICONDUCTOR AND A THERMOLUMINESCENT DETECTORS
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NADPH-Cytochrome P-450 reductase in strongly involved in activating metabolic transformatios of 9-amino-1-nitroacridine antitumor agents
PublikacjaCelem pracy było wyjaśnienie roli reduktazy cytochromu P-450 jaką odgrywa ten enzym w przemianach metabolicznych dwóch związków przeciwnowotworowych z grupy pochodnych 1-nitroakrydyny. Zastosowano metodę HPLC do rozdziału metabolitów, a badania struktur przeprowadzono stosując metodę ESI-MS. Wykazano, że badana reduktaza jest zaangażowana bardziej w metabolizm aktywacyjny 1-nitroakrydyn niż metabolizm detoksykacyjny.
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The generalization by simplification operator with Sester’s method of objects representing groups of buildings in Kartuzy district - scale 1:10000
Dane BadawczeThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the national geodesy and cartography resource from BDOT10k (10k topographic database) [1].
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The generalization by simplification operator with Sester’s method of objects representing groups of buildings in Gdańsk district - scale 1:10000
Dane BadawczeThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the national geodesy and cartography resource from BDOT10k (10k topographic database) [1].
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The generalization by simplification operator with Sester’s method of objects representing groups of buildings in Kartuzy district - scale 1:25000
Dane BadawczeThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the national geodesy and cartography resource from BDOT10k (10k topographic database) [1].
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The generalization by simplification operator with Sester’s method of objects representing groups of buildings in Gdańsk district - scale 1:10000. Data from OSM
Dane BadawczeThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the Open Street Map databases (OSM) [1].
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The generalization by simplification operator with Chrobak’s method of objects representing groups of buildings in Kartuzy district - scale 1:10000
Dane BadawczeThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the national geodesy and cartography resource from BDOT10k (10k topographic database) [1].
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The generalization by simplification operator with Chrobak’s method of objects representing groups of buildings in Gdańsk district - scale 1:10000
Dane BadawczeThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the national geodesy and cartography resource from BDOT10k (10k topographic database) [1].
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The generalization by simplification operator with Chrobak’s method of objects representing groups of buildings in Katowice district - scale 1:10000
Dane BadawczeThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the national geodesy and cartography resource from BDOT10k (10k topographic database) [1].
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The generalization by simplification operator with Chrobak’s method of objects representing groups of buildings in Katowice district - scale 1:25000
Dane BadawczeThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the national geodesy and cartography resource from BDOT10k (10k topographic database) [1].