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Geometry Parametric Model Order Reduction with Randomly Generated Projection Bases
PublicationIn this work, a reduced-order model for geometry parameters and fast frequency sweep is proposed. The Finite Element Method is used to solve time-harmonic Maxwell’s equations. Taking into account the electromagnetic field does not arbitrarily vary as a function of frequency and geometry parameters, a low dimension system manifold is identified. Thus, the original Finite Element problem can be approximated by a model of reduced...
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All graphs with paired-domination number two less than their order
PublicationLet G=(V,E) be a graph with no isolated vertices. A set S⊆V is a paired-dominating set of G if every vertex not in S is adjacent with some vertex in S and the subgraph induced by S contains a perfect matching. The paired-domination number γp(G) of G is defined to be the minimum cardinality of a paired-dominating set of G. Let G be a graph of order n. In [Paired-domination in graphs, Networks 32 (1998), 199-206] Haynes and Slater...
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Method of lines for nonlinear first order partial functional differential equations.
PublicationClassical solutions of initial problems for nonlinear functional differential equations of Hamilton--Jacobi type are approximated by solutions of associated differential difference systems. A method of quasilinearization is adopted. Sufficient conditions for the convergence of the method of lines and error estimates for approximate solutions are given. Nonlinear estimates of the Perron type with respect to functional variables...
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Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3
PublicationWe consider a conservative second order Hamiltonian system \ddot{q}+ ∇V(q)=0 in R3 with a potential V having a global maximum at the origin and a line l ∩ {0} = ∅ as a set of singular points. Under a certain compactness condition on V at infinity and a strong force condition at singular points we study, by the use of variational methods and geometrical arguments, the existence of homoclinic solutions of the system.
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Efficient analysis of structures with rotatable elements using model order reduction
PublicationThis paper presents a novel full-wave technique which allows for a fast 3D finite element analysis of waveguide structures containing rotatable tuning elements of arbitrary shapes. Rotation of these elements changes the resonant frequencies of the structure, which can be used in the tuning process to obtain the S-characteristics desired for the device. For fast commutations of the response as the tuning elements are rotated, the...
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Efficient model order reduction for FEM analysis of waveguide structures and resonators
PublicationAn efficient model order reduction method for three-dimensional Finite Element Method (FEM) analysis of waveguide structures is proposed. The method is based on the Efficient Modal Order Reduction (ENOR) algorithm for creating macro-elements in cascaded subdomains. The resulting macro-elements are represented by very compact submatrices, leading to significant reduction of the overall number of unknowns. The efficiency of the model...
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Chiral Schiff base complexes as an effective catalyst in Diels-Alder reaction
PublicationDiels Alder reaction is a very important tool in carbon-carbon bond formation. It is a cycloaddition between a conjugated diene and a second compound called dienophile. Where one or more heteroatoms are present in the diene and/or dienophile framework, the cycloaddition is called hetero-Diels-Alder reaction (HDA). The asymmetric Diels-Alder reaction is among the most powerful available methodologies for that construction of optically...
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Vibration Surveillance System with Variable Stiffness Holder for Milling Flexible Details
PublicationEfficient milling of the flexible details (i.e. rotor blades, thin-walled elements) using slender ball-end tools is a difficult task due to possibility of vibration occurrence. Because of the existence of certain conditions (small depths of cutting, regeneration phenomena), cutting process may lose stability and self-excited chatter vibration may appear. Frequency of the chatter vibration is close to dominant natural frequency...
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A higher order shell element for wave propagation in isotropic shell structures
PublicationThe presents the new multi mode higher order shell element for wave propagation problems in shell structures.
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Implementing second-order CFA model for the factorial validity of brand equity
PublicationThe purpose of this study was to test the implementation of a second-order CFA model for the factorial validity of Aaker’s consumer-based brand equity framework. To test the proposed theoretical model 186 data sets generated through a standardized onlinesurvey were evaluated. The data wasanalyzedusing structural equation modeling with AMOS 21.0 software. The results demonstrated that the higher order CFA model for consumer-based...
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Edible dragonflies and damselflies (order Odonata) as human food – A comprehensive review
PublicationThe rapid growth of the human population leads to a big concern about the food y and demand worldwide. However, due to the reduction in global arable land area, humans need to find alternative food sources to fulfil their needs. Consequently, edible insects have been identified as a promising solution to ameliorate food security and increase global nutrition. Among more than 2,100 identified edible insect species, dragonflies and...
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Comparative Study of Integer and Non-Integer Order Models of Synchronous Generator
PublicationThis article presents a comparison between integer and non-integer order modelling of a synchronous generator, in the frequency domain as well as in the time domain. The classical integer order model was compared to one containing half -order systems. The half-order systems are represented in a Park d-q axis equivalent circuit as impedances modelled by half-order transmittances. Using a direct method based on the approximation...
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On possible applications of media described by fractional-order models in electromagnetic cloaking
PublicationThe purpose of this paper is to open a scientific discussion on possible applications of media described by fractional-order (FO) models (FOMs) in electromagnetic cloaking. A 2-D cloak based on active sources and the surface equivalence theorem is simulated. It employs a medium described by FOM in communication with sources cancelling the scattered field. A perfect electromagnetic active cloak is thereby demonstrated with the use...
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Novel Nonlinear High Order Technologies for Damage Diagnosis of Complex Assets
PublicationFor the first time worldwide, innovative techniques, generic non-linear higher-order unnormalized cross-correlations of spectral moduli, for the diagnosis of complex assets, are proposed. The normalization of the proposed techniques is based on the absolute central moments, that have been proposed and widely investigated in mathematical works. The existing higher-order, crosscovariances of complex spectral components are not sufficiently...
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Two almost homoclinic solutions for second-order perturbed Hamiltonian systems
PublicationW niniejszym artykule badamy problem istnienia rozwiązań prawie homoklinicznych (rozwiązań znikających w nieskończonościach) dla układów Hamiltonowskich drugiego rzędu (układów Newtonowskich) z zaburzeniem. Nasz wynik jest uogólnieniem twierdzenia Rabinowitza-Tanaki o istnieniu rozwiązania homoklinicznego dla układów bez zaburzenia [Math. Z. 206 (1991) 473-499]. O zaburzeniu zakładamy, że jest dostatecznie małe w przestrzeni funkcji...
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A Model-Order Reduction Approach for Electromagnetic Problems With Nonaffine Frequency Dependence
PublicationThe aim of this paper is to present a novel model-order reduction (MOR) technique for the efcient frequency-domain nite-element method (FEM) simulation of microwave components. It is based on the standard reduced-basis method, but the subsequent expansion frequency points are selected following the so-called sparsied greedy strategy. This feature makes it especially useful to perform a fast-frequency sweep of problems that lead...
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Modelling and Simulation of a New Variable Stiffness Holder for Milling of Flexible Details
PublicationModern industry expectations in terms of milling operations often demand the milling of the flexible details by using slender ball-end tools. This is a difficult task because of possible vibration occurrence. Due to existence of certain conditions (small depths of cutting, regeneration phenomena), cutting process may become unstable and self-excited chatter vibration may appear. Frequency of the chatter vibration is close to dominant...
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Neural Approximators for Variable-Order Fractional Calculus Operators (VO-FC)
PublicationThe paper presents research on the approximation of variable-order fractional operators by recurrent neural networks. The research focuses on two basic variable-order fractional operators, i.e., integrator and differentiator. The study includes variations of the order of each fractional operator. The recurrent neural network architecture based on GRU (Gated Recurrent Unit) cells functioned as a neural approximation for selected...
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A mobile loop order–disorder transition modulates the speed of chaperonin cycling
PublicationMolecular machines order and disorder polypeptides as they form and dissolve large intermolecular interfaces, but the biological significance of coupled ordering and binding has been established in few, if any, macromolecular systems. The ordering and binding of GroES co-chaperonin mobile loops accompany an ATP-dependent conformational change in the GroEL chaperonin that promotes client protein folding. Following ATP hydrolysis,...
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THE EFFECTIVENESS OF PEER TUTORING IN THE FIELD OF TEACHING BASIC ASTRONOMICAL CONCEPTS AMONG OLDER PRESCHOOLERS AND YOUNGER PUPILS. A QUANTITATIVE ANALYSIS
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Geochemical markers and polycyclic aromatic hydrocarbons in solvent extracts from diesel engine particulate matter
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5-formylcytosine and 5-hydroxymethyluracil as surrogate markers of TET2 and SF3B1 mutations in myelodysplastic syndrome, respectively
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Novel markers of human ovarian granulosa cell differentiation toward osteoblast lineage: A microarray approach
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New markers for regulation of transcription and macromolecule metabolic process in porcine oocytes during in vitro maturation
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P-544 Biochemical markers as a predictor of clinical pregnancy on day 6 after embryo transfer
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Evaluation of multiple genetic markers for typing drug-resistant Mycobacterium tuberculosis strains from Poland
PublicationW publikacji przedstawiono wyniki genotypowania wielolekoopornych szczepów Mycobacterium tuberculosis izolowanych od pacjentów z Polski.
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Geotechnical problems of industrial waste storage in Janikowo Soda Works
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Post soda sludge treatment and utylisation in Janikowo Soda Works.
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Virtual designs and reconstructions of amber works: Amber craftsman simulator
PublicationThis paper presents the concept of visualization of amber works in a virtual reality cave. It describes problems encountered during the acquisition, modeling and rendering of geometrical objects distinguished by heterogeneous transparency.
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A Polish and German Population Study of Quality of Life, Well-Being, and Life Satisfaction in Older Adults During the COVID-19 Pandemic
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The Effectiveness of Computerized Cognitive Training Combined With Whole Body Cryotherapy in Improving Cognitive Functions in Older Adults. A Case Control Study
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Treatment of insomnia in older adults. Recommendations of the Polish Sleep Research Society, Polish Society of Family Medicine and the Polish Psychiatric Association
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<p>Analysis of the degree of acceptance of illness among older adults living in a nursing home undergoing rehabilitation – an observational study</p>
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REcomMEndations for DIAgnostics and MaNagemenT of Arterial Hypertension in Adults Aged 65 Years and Older for General Practitioners — REMEDIA NT 65+ GP
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Liquefaction of alder wood as the source of renewable and sustainable polyols for preparation of polyurethane resins
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Effect of extraction method on the antioxidative activity of ground elder (Aegopodium podagraria L.)
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a rule for vibration surveillance of manipulators in order to improve operating parameters of industrial robots
PublicationPrzedmiotem rozważań są drgania układu nośnego manipulatora IRb-6. Proponowane podejście ma na celu minimalizację poziomu drgań końcówki manipulatora. Dla niestacjonarnego układu sterowanego, którego zachowanie opisano we współrzędnych uogólnionych, zdefiniowano energetyczny wskaźnik jakości uwzględniający energię kinetyczną i potencjalną układu, a także - chwilową energię sygnału sterującego. Dalsze rozważania dotyczą tymczasowego...
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Nonlinear boundary value problems for second order differential equations with causal operators
PublicationW pracy rozważane są równania różniczkowe rzędu drugiego z nielinowymi warunkami brzegowymi. Prawa strona takich zagadnień zawiera operatory typu ''causal''. Podane zostały warunki dostateczne na istnienie rozwiązań tego typu problemów. Badano też nierówności różniczkowe związane z w/w równaniami różniczkowymi. Podano przykład ilustrujący otrzymane wyniki teoretyczne.
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Simplifying biochemical tumorous bone remodeling models through variable order derivatives
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<title>Estimation and control of discrete fractional order states-space systems</title>
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Fractional Variable-Order Derivative and Difference Operators and Their Applications to Dynamical Systems Modelling
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Local atomic order in low Pt-content nanocatalysts investigated in situ by XAS
PublicationThe unique features of X-ray absorption spectroscopy allow investigations of nanosized catalysts for fuel cells under working conditions. We present the results of an experiment carried out on a low Pt content electrocatalyst supported by a mesoporous heteropolyacid salt and used at the cathode of a proton exchange membrane fuel cell (PEMFC). The analysis of the EXAFS signal at the Pt L3-edge indicates that upon operating the fuel...
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Electronic and dynamical properties of CeRh2As2 : Role of Rh2As2 layers and expected orbital order
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Molecular Dynamics study of short and medium range order in modified BGO glasses.
PublicationArtykuł przedstawia wyniki symulacji dynamiczno-molekularnychniemodyfikowanych i modyfikowanych szkieł BGO o różnych stechiometriach. Otrzymane wyniki dokładnie przedyskutowano pod kątem blisko- i średnio-zasięgowego uporządkowania atomów i porównano z innymi dostępnymi danymi literaturowymi.
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Stability of difference problems generated by hyperbolic first order partial differential systems.
PublicationPraca dotyczy numerycznej aproksymacji rozwiązań zagadnień początkowych dla nieliniowych układów równań różniczkowych cząstkowych pierwszego rzędu. Podano konstrukcję układu quasiliniowego równań różnicowych typu Eulera. Wykazano, że przy naturalnych założeniach jest on stabilny. Dowód zbieżności wykorzystuje metody porównawcze.
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Higher-order spectra for harmonics detection in nonlinear systems at presence of Gaussian noise.
PublicationPrzedstawiono metodę wykrywania harmonicznych w ukladach nieliniowych za pomocą funkcji bispektrum. Przebadano skuteczność proponowanej metody w porównaniu z metodą wykorzystującą gęstość widmową mocy. Badania przeprowadzono dla sygnałów będących sumą sygnału harmonicznego i realizacji szumu białego.
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Numerical method of lines for first order partial differential equations with deviated variables
PublicationPraca traktuje o przybliżaniu rozwiązań klasycznych równańróżniczkowo-funkcyjnych cząstkowych pierwszego rzędu rozwiązaniamiukładów quasiliniowych równań różnicowych. Nowe podejście dorozwiązywania równań nieliniowych zawdzięczamy metodziequasilinearyzacji dla zagadnień początkowo - brzegowych z odchylonymargumentem. Dla przyrostów pochodnych funkcji danej zakładamy nieliniowe oszacowanie typu Perrona. Załączone są wyniki eksperymentów...
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Unchanged Erythrocyte Profile After Exposure to Cryogenic Temperatures in Elder Marathon Runners
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Positive solutions to second order four-point impulsive problems with deviating arguments
PublicationStosując tw. Leggetta-Williamsa, podano warunki dostateczne na istnienie dodatnich rozwiązań dla czteropunktowych problemów brzegowych dla równań różniczkowych rzędu drugiego z odchylonymi argumentami. Dyskutowane były problemy gdy argument odchylony był typu opóźnionego lub wyprzedzonego.
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Numerical methods for nonlinear first-order partial differential equations with deviated variables
PublicationKlasyczne rozwiązania zagadnień początkowych dla nieliniowych równań cząstkowych z odchylonym argumentem aproksymowano za pomocą rozwiązań układów quasiliniowych równań różnicowych określonych na piramidzie Haara. Podano warunek dostateczny zbieżności metody. Stabilność schematu różnicowego wykazano metodą porównawczą. Przedstawiono metodę rozwiązywania nieliniowych równań różniczkowych cząstkowych z odchylonym argumentem bazującą...