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Search results for: LANDAU ORDER PARAMETER
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Second order differential equations with Dirichlet boundary conditions
PublicationZastosowano metodę kwazilinearyzacji aby wyznaczyć rozwiązanie przybliżone zagadnienia brzegowego dla równań różniczkowych rzędu drugiego. Pokazano kwadratową (lub prawie kwadratową) zbieżność tego rozwiązania do rozwiazania dokładnego.
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Homoclinic solutions for a class of the second order Hamiltonian systems
PublicationW niniejszej pracy badamy istnienie orbit homoklinicznych dlaukładu Hamiltonowskiego drugiego rzędu: q^{..} + V_{q}(t,q) = f(t), gdzie V z iloczynu kartezjańskiego R x R^{n} do R jest postaciV(t,q) = -K(t,q) + W(t,q). Zakładamy, ze V jest T-okresowe ze względuna zmienną t, K spełnia tzw. ''pinching'' warunek, W jest superliniowew nieskończoności, a norma f w L^{2} jest wystarczająco mała.Orbitę homokliniczną takiego układu znajdujemy...
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Application of higher order spectra in the electrochemical noise analysis
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Stability of Discrete Fractional Order State-space Systems
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Comparison and validation of integer and fractional order ultracapacitor models
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Time domain validation of ultracapacitor fractional order model
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Diffusion process modeling by using fractional-order models
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Investigation of magnetic order in a new intermetallic compound Nd2PtGe3
PublicationIn the present study we report a successful synthesis of the new intermetallic compound Nd2PtGe3 by an arc-melting method. The powder X-ray diffraction analysis indicates that this compound crystallizes in an disordered variant of the AlB2-type structure (space group P6/mmm, no. 191) with lattice parameters a = 4.2455 Å and c = 4. 1933 Å. The compound exhibits a cluster-glass transition below Tf = 2.9 K, characterized through ac...
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Reduced order models of refined Yee´s cells.
PublicationArtykuł opisuje nowe podejście zwiększające dokładność metody różnic skończonych za pomocą lokalnego zagęszczenia siatki. Obszar niewiele większy niż pojedyncza komórka Yee jest pokrywany gęstą siatką, a jej makromodel jest stworzony metodą redukcji rzędu modelu równań stanu w dziedzinie częstotliwości. Makromodele są użyte w metodach różnic skończonych w dziedzinie częstotliwości i czasu całej struktury. Inaczej niż w przypadku...
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Higher-Order Statistics for Fluctuation-Enhanced Gas-Sensing.
PublicationPrzedstawiono wyniki badań eksperymentalnych wykrywania wybranych mieszanin gazów za pomocą analizy fluktuacji rezystancji obserwowanych w sensorach gazu. Do analizy obserwowanych fluktuacji wykorzystano gęstość widmową mocy oraz funkcję bispektrum.
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Lattice filter based autoregressive spectrum estimation with joint model order and estimation bandwidth adaptation
PublicationThe problem of parametric, autoregressive model based estimation of a time-varying spectral density function of a nonstationary process is considered. It is shown that estimation results can be considerably improved if identification of the autoregressive model is carried out using the two-sided doubly exponentially weighted lattice algorithm which combines results yielded by two one-sided lattice algorithms running forward in...
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Stability analysis of interconnected discrete-time fractional-order LTI state-space systems
PublicationIn this paper, a stability analysis of interconnected discrete-time fractional-order (FO) linear time-invariant (LTI) state-space systems is presented. A new system is formed by interconnecting given FO systems using cascade, feedback, parallel interconnections. The stability requirement for such a system is that all zeros of a non-polynomial characteristic equation must be within the unit circle on the complex z-plane. The obtained...
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Multi Parameter Sliding Test Result Evaluation for The Selection of Material Pair for Wear Resistant Components of a Hydraulic motor Dedicated for Use With Environmentally Friendly Working Fluids
PublicationIn the paper the method and results are presented of the testing of tribological performance of a number of hard materials available commercially. The tests consisted in unidirectional sliding with liquid lubrication. The load and velocity regime chosen were similar to a standard four-ball lubricity test with constant velocity and load increasing over time. The regime was modified in such a way that over the initial part of the...
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Sound velocity and parameter of nonlinearity of a ternary mixture consisting of water, vapour and dry air
PublicationRozpatruje się własności akustyczne mieszanki trójskładnikowej zawierającej wodę, parę wodną i suche powietrze. Dokładne obliczenia pozwoliły na wyprowadzenie prędkości dźwięku i parametru nieliniowości jako funkcji koncentracji pary wodnej i powietrza przy zadanych warunkach równowagowych. Rozpatrywane są dwa typy mieszanin. Przedstawiono wzory ogólne oraz symulacje numeryczne.
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Single Mathematical Parameter for Evaluation of the Microorganisms’ Growth as the Objective Function in the Optimization by the DOE Techniques
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Proposal of frequency‐based decomposition approach for minimization of errors in surface texture parameter calculation
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Mixed 4-node shell element with assumed strain and stress in 6-parameter theory
PublicationWe propose a mixed hybrid 4-node shell elements based on Hu-Washizu principle. Apart from displacements both strains and stress fields are treated as independent fields. The element is derived in the framework of a general nonlinear 6-field shell theory with drilling rotation which is dedicated to the analysis of multifold irregular shells with intersections. The novelty of the presented results stems from the fact that the measures...
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A framework for accelerated optimization of antennas using design database and initial parameter set estimation
PublicationThe purpose of this paper is to exploit a database of pre-existing designs to accelerate parametric optimization of antenna structures is investigated. Design/methodology/approach The usefulness of pre-existing designs for rapid design of antennas is investigated. The proposed approach exploits the database existing antenna base designs to determine a good starting point for structure optimization and its response sensitivities....
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Mixed 4-node shell element with assumed strain and stress in 6-parameter theory
PublicationWe propose a mixed hybrid 4-node shell elements based on Hu-Washizu principle. Apart from displacements both strains and stress fields are treated as independent fields. The element is derived in the framework of a general nonlinear 6-field shell theory with drilling rotation which is dedicated to the analysis of multifold irregular shells with intersections. The novelty of the presented results stems from the fact that the measures...
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Evolution of charge density wave order in continuous solid solutions Lu(Ni1-xCox)C2
PublicationPseudo-ternary solid solutions, Lu(Ni1-xCox)C2 (0 ≤ x ≤ 1), were studied by means of powder X-ray diffraction, differential thermal analysis as well as electrical resistivity and heat capacity measurements. The crystal structure of the Lu(Ni1-xCox)C2 series, as investigated by means of X-ray powder diffraction, is of structure type CeNiC2, space group Amm2, Pearson symbol oS8. The structural analysis reveals a non-monotonous evolution,...
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Recurrent Neural Network Based Adaptive Variable-Order Fractional PID Controller for Small Modular Reactor Thermal Power Control
PublicationThis paper presents the synthesis of an adaptive PID type controller in which the variable-order fractional operators are used. Due to the implementation difficulties of fractional order operators, both with a fixed and variable order, on digital control platforms caused by the requirement of infinite memory resources, the fractional operators that are part of the discussed controller were approximated by recurrent neural networks...
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Variable Temperature Spectroscopic Ellipsometry as a Tool for Insight into the Optical Order in the P3HT:PC70BM and PC70BM Layers
PublicationTwo combined ellipsometric techniques—variable angle spectroscopic ellipsometry (VASE) and variable temperature spectroscopic ellipsometry (VTSE)—were used as tools to study the surface order and dielectric properties of thin films of a poly(3-hexylthiophene-2,5-diyl) (P3HT) mixture with a fullerene derivative (6,6-phenyl-C71-butyric acid methyl ester) (PC70BM). Under the influence of annealing, a layer of the ordered PC70BM...
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Second-order Stark effect and polarizability of a relativistic two-dimensional hydrogenlike atom in the ground state
PublicationThe second-order Stark effect for a planar Dirac one-electron atom in the ground state is analyzed within the framework of the Rayleigh-Schrödinger perturbation theory, with the use of the Sturmian series expansion of the generalized Dirac-Coulomb Green's function. A closed-form analytical expression for the static dipole polarizability of that system is found. The formula involves the generalized hypergeometric function ${}_{3}F_{2}$...
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Bandwidth-Controllable Third-Order Band Pass Filter Using Substrate Integrated Full- and Semi-Circular Cavities
PublicationThe article presents a novel circular substrate integrated waveguide (SIW) bandpass filter (BPF) with controllable bandwidth. The proposed BPF is configured using two microstrip feedlines, semi- circular SIW cavities, capacitive slots, and inductive vias. The circular cavity is bisected into two halves, with the two copies thereof being cascaded. Two bisected and cascaded structures obtained this way are subsequently connected...
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Preparation and Characterization of Indomethacin Supramolecular Systems with β-Cyclodextrin in Order to Estimate Photostability Improvement
PublicationCyclodextrins have found wide application in contemporary chemistry, pharmacy andmedicine. Because of their unique properties, cyclodextrins are constantly used in research on solubility or stability improvement, as well as other physicochemical properties of medicinal substances. Indomethacin (IND) is a photolabile molecule that also attracts the interest of researchers due to its therapeutic potential and the need to...
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Sintering Parameter Investigation for Bimetallic Stainless Steel 316L/Inconel 718 Composite Printed by Dual-Nozzle Fused Deposition Modeling
PublicationFused deposition modeling (FDM) nowadays offers promising future applications for fabricating not only thermoplastic-based polymers but also composite PLA/Metal alloy materials, this capability bridges the need for metallic components in complex manufacturing processes. The research is to explore the manufacturability of multi-metal parts by printing green bodies of PLA/multi-metal objects, carrying these objects to the debinding...
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Lattice filter based multivariate autoregressive spectral estimation with joint model order and estimation bandwidth adaptation
PublicationThe problem of parametric, autoregressive model based estimation of a time-varying spectral density function of a multivariate nonstationary process is considered. It is shown that estimation results can be considerably improved if identification of the autoregressive model is carried out using the two-sided doubly exponentially weighted lattice algorithm which combines results yielded by two one-sided lattice algorithms running...
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Experiments on Preserving Pieces of Information in a Given Order in Holographic Reduced Representations and the Continuous Geometric Algebra Model
PublicationGeometric Analogues of Holographic Reduced Representations (GAc, which is the continuous version of the previously developed discrete GA model) employ role-filler binding based on geometric products.Atomic objects are real-valued vectors in n-dimensional Euclidean space and complex statements belong to a hierarchy of multivectors. The property of GAc and HRR studied here is the ability to store pieces of information in a given...
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Comparable analysis of PID controller settings in order to ensure reliable operation of active foil bearings
PublicationIn comparison to the traditional solutions, active bearings offer great operating flexibility, ensure better operating conditions over a wider range of rotational speeds and are safe to use. In order to ensure optimum bearing performance a bearing control system is used that adapts different geometries during device operation. The selection of optimal controller parameters requires the use of modern optimization methods that make...
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Monotone iterative method to second order differential equations with deviating arguments involving Stieltjes integral boundary conditions
PublicationWe use a monotone iterative method for second order differential equations with deviating arguments and boundary conditions involving Stieltjes integrals. We establish sufficient conditions which guarantee that such problems have extremal solutions in the corresponding region bounded by lower and upper solutions. We also discuss the situation when problems have coupled quasi-solutions. We illustrate our results by three examples.
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Modelling and parameter identification of steel–concrete composite beams in 3D rigid finite element method
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Buckling analysis of shell structures with stochastic imperfections using six parameter nonlinear shell theory
PublicationPrzedstawiono wpływ wstępnych losowych imperfekcji geometrycznych na wartość obciążenia krytycznego powłoki. W obliczeniach zastosowano autorski program MES wykorzystujący 6-cio parametrową nieliniową teorię powłok.
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Reliable Multi-Stage Optimization of Antennas for Multiple Performance Figures in Highly-Dimensional Parameter Spaces
PublicationDesign of modern antenna structures needs to account for multiple performance figures and geometrical constraints. Fulfillment of these calls for the development of complex topologies described by a large number of parameters. EM-driven tuning of such designs is mandatory yet immensely challenging. In this letter, a new framework for multi-stage design optimization of multi-dimensional antennas with respect to several performance...
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Annealing Rate as a Crucial Parameter Controlling the Photoelectrochemical Properties of AuCu Mosaic Core–Shell Nanoparticles
PublicationThermal processing is an essential step during the synthesis of various metal nanostructures and for tailoring their morphology, optical, and electrochemical properties. Herein, a profound impact of the annealing rate and time on photoactivity of gold–copper nanostructures by changes in the position and alignment of energy levels and surface states is reported. AuCu nanoparticles (NPs) are fabricated by sputtering of thin metal...
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Market and state in socio-economic order: a brief review of theories
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Crystal fields, disorder, and antiferromagnetic short-range order in Yb0.24Sn0.76Ru
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Generalized solutions of first order partial differential functional inequalities
PublicationW pracy rozważa się zagadnienia początkowo brzegowe dla nieliniowych równań różniczkowo funkcyjnych cząstkowych pierwszego rzędu. Podano dowód jednoznaczności rozwiązań uogólnionych. Oparty jest on na twierdzeniu porównawczym dla nierówności różniczkowo funkcyjnych w sensie Caratheodory'ego. Prezentowane jest twierdzenie o uogólnionych rozwiązaniach nierówności różniczkowo funkcyjnych.
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First-order impulsive ordinary differential equations with advanced arguments
PublicationPraca dotyczy problemów istnienia rozwiązań dla równań różniczkowych z impulsami i nieliniowymi warunkami brzegowymi. Są to równania z argumentami wyprzedzonymi. Podano warunki dostateczne na istnienie rozwiązań. W pracy są również dyskutowane nierówności różniczkowe z impulsami. Podano też przykłady ilustrujące otrzymane wyniki.
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Chemical order and crystallographic texture of FePd:Cu thin alloy films
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Second- and Third-Order Nonlinear Optical Response of Perovskite LiTaO3
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Development of HFB with the Use of 2nd Order Pass-Band Filters
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Performance of vibration surveillance in order to improve operating parameters of manipulators
PublicationPrzedstawiono nadzorowanie drgań układu nośnego manipulatora robota IRb-6. Do nadzorowania drgań zastosowano algorytm sterowania modalnego przy energetycznym wskaźniku jakości. Celem proponowanego algorytmu jest minimalizacja poziomu drgań końcówek manipulatora, i tym samym - zwiększenie możliwości nowoczesnych linii zrobotyzowanych, jak również dokładności i powtarzalności pozycjonowania robota.
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An orthogonality relation for the Whittaker functions of the second kind of imaginary order
PublicationPrzeprowadzono dowód ortogonalności funkcji Whittakera drugiego rodzaju rzędu urojonego. Użyto metody analogicznej do tej, którą zaprezentowano we wcześniejszej pracy tych samych autorów [J. Math. Anal. Appl. 365 (2010) 195-197], poświęconej funkcjom Macdonalda rzędu urojonego.
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The first order phase transition and superconductivity in BaNi2As2 single crystals
PublicationDyskutowane są synteza i właściwości fizyczne monokryształów BaNi2As2. BaNi2As2 krystalizuje w strukturze ThCr2Si2, a stałe sieciowe wynoszą odpowiednio: a = 4.112(4) A i c = 11.54(2) A. Pomiar oporu elektrycznego, zmiennopolowej podatności magnetycznej, ciepła właściwego, pokazują objętościowy efekt nadprzewodzący z Tc = 0.7 K.
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METHODS OF THE MODIFICATION OF VEGETABLE OILS IN ORDER TO OBTAIN BASE OILS
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Canonic structures of odd-order elliptic Gm-C filters.
PublicationW pracy zaproponowano nowe rozwiązania układowe struktur kanonicznych eliptycznych filtrów Gm-C czasu ciągłego, rzedu nieparzystego. Opracowane struktury charakteryzują się małą liczbą elementów pasywnych oraz aktywnych i są przewidziane do zastosowań w filtrach niskomocowych o małej wrażliwości. W przeprowadzonych badaniach porównywano wybrane struktury 3-go rzędu pod względem właściwości i wymagań układów scalonych, w których...
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Application of higher order spectra in harmonic analysis of corrosion process
PublicationZjawiska nieliniowe są niezwykle często spotykane w praktyce badań elektrochemicznych i korozyjnych. Typowym przykładem są procesy elektrodowe kontrolowane szybkością przeniesienia ładunku. Często stosowanym w takich przypadkach podejściem jest aproksymacja fragmentu krzywej prąd-napięcie za pomocą charakterystyki liniowej. W niniejszej pracy autorzy prezentują możliwość wykorzystania pomiarów składowych harmonicznych do oceny...
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Relations Among Social and Economic Order in European Union Countries
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Frequency response based identification of fractional order dynamical systems
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Observation of second-order meron polarization textures in optical microcavities
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