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Almost homoclinic solutions for the second order Hamiltonian systems
PublikacjaW niniejszej pracy badam istnienie rozwiązań prawie homoklinicznych (almost homoclinic) dla układu Hamiltona rzędu drugiego (układu Newtona): ü(t) + V_{u}(t,u) = f(t), gdzie t є R, u є R^{n}, V(t,u) = -K(t,u) + W(t,u), K,W: R x R^{n} → R są klasy C^{1}, K spełnia warunek ''pinching'', W_{u}(t,u)=o(|u|), gdy |u| → 0 jednostajnie względem t, f: R → R^{n} jest funkcją ciągłą, niezerową i odpowiednio małą w L^{2}(R,R^{n}). Przy tych...
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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
PublikacjaIn 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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Heteroclinic solutions for a class of the second order Hamiltonian systems
PublikacjaW pracy dowodzi się istnienia rozwiązań heteroklicznicznych dla pewnej klasy równań różniczkowych zwyczajnych drugiego rzędu typu hamiltonowskiego.
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Reduced order models of refined Yee´s cells.
PublikacjaArtykuł 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.
PublikacjaPrzedstawiono 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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Application of higher order statistics in the analysis of electrochemical processes
PublikacjaZjawiska nieliniowe są często spotykane w elektrochemicznych pomiarach korozyjnych. Z drugiej strony linearyzacja zagadnień elektrochemicznych jest uznaną i powszechną praktyką. W niniejszej pracy przedstawiono możliwość poszerzenia interpretacji badanych procesów elektrodowych o techniki oparte na analizie widmowej rzędu wyższego od 2. Autorzy skupili się na analizie szumu elektrochemicznego generowanego podczas polaryzacji katodowej,...
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Second order differential equations with Dirichlet boundary conditions
PublikacjaZastosowano 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
PublikacjaW 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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Anonymous agreed order multicast: performance and free riding
PublikacjaPrzedstawiono protokół rozgłaszania wiadomości dla sieci lokalnych z usługą 1C, zapewniający całkowite uporządkowanie wiadomości przy zachowaniu anonimowości stacji. Wykorzystywane są raporty zawierające grafy częściowego uporządkowania wiadomości, otrzymywane na podstawie kolejności odbioru i wnioskowania o bezpośrednim następstwie par wiadomości. Wskazano, że kolektywna odpowiedzialność za utrzymanie stałego rytmu raportów sprzyja...
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Lattice filter based autoregressive spectrum estimation with joint model order and estimation bandwidth adaptation
PublikacjaThe 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
PublikacjaIn 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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Evolution of charge density wave order in continuous solid solutions Lu(Ni1-xCox)C2
PublikacjaPseudo-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
PublikacjaThis 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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Victor Eremeev prof. dr hab.
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House dust as a source of analytical information on concentration of polybrominated diphenyl ethers (PBDEs) - first approach
PublikacjaPolybrominated diphenyl ethers (PBDEs), which are best recognized as flame retardants, were in 2001, by virtue of Stockholm Convention, listed in a group of Persistent Organic Compounds (POPs). Increasing concentration levels of PBDEs, reported in human tissues (e.g., blood, serum, breast milk, etc.) haverecently caught worldwide concern due to their potential tendency to disrupt thyroid hormones, neurobehavioral deficits and endocrine...
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Valorization of waste cabbage leaves by postharvest photochemical treatments monitored with a non-destructive fluorescence-based sensor
PublikacjaThe biosynthesis of polyphenolic compounds in cabbage waste, outer green leaves of white head cabbage (Brassica oleracea L. var. capitata subvar. alba), was stimulated by postharvest irradiation with UVB lamps or sunlight. Both treatments boosted the content of kaempferol and quercetin glycosides, especially in the basal leaf zone, as determined by the HPLC analysis of leaf extracts and by a non-destructive optical sensor. The...
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Rotation Triggers Nucleotide-Independent Conformational Transition of the Empty β Subunit of F1-ATPase
PublikacjaF1-ATPase (F1) is the catalytic portion of ATP synthase, a rotary motor protein that couples proton gradients to ATP synthesis. Driven by a proton flux, the F1 asymmetric γ subunit undergoes a stepwise rotation inside the α3β3 headpiece and causes the β subunits’ binding sites to cycle between states of different affinity for nucleotides. These concerted transitions drive the synthesis of ATP from ADP and phosphate. Here, we study...
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Solubility of Methane in Water: Some Useful Results for Hydrate Nucleation
PublikacjaIn this paper, the solubility of methane in water along the 400 bar isobar is determined by computer simulations using the TIP4P/Ice force field for water and a simple LJ model for methane. In particular, the solubility of methane in water when in contact with the gas phase and the solubility of methane in water when in contact with the hydrate has been determined. The solubility of methane in a gas–liquid system decreases as temperature...
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Fracture in Asymmetric Bonded Joints
PublikacjaAdhesion was studied in asymmetric bonded joints using fracture mechanics tests. The asymmetric bonded joints consist of two different type and/or thickness materials bonded by an adhesive. Mentions of asymmetric bonded joint tests employed so far are rare in the literature. They are imperfect and therefore are not standardized. Accordingly three new tests were introduced in this work to study bonded joints. The new metrological...
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From structure to luminescence investigation of oxyfluoride transparent glasses and glass-ceramics doped with Eu3+/Dy3+ ions
PublikacjaGlasses and glass-ceramics with nominal composition 73 TeO2– 4BaO– 3Bi2O3–18SrF2-2RE2O3 (where RE = Eu, Dy) have been synthesized by conventional melt-quenching technique and subsequent heat treatment at 370 °C for 24 h in air atmosphere. Various Eu3+ to Dy3+ molar ratio have been applied to investigate luminescence properties in both glass and glass-ceramic matrices. Especially, white light emission through simultaneous excitation...
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Voltammetric and biological studies of folate-targeted non-lamellar lipid mesophases
PublikacjaFolate-targeted lipid nanostructures are promising strategies for the development of biocompatible drug delivery systems. The objective of this study was to evaluate the efficacy of drug delivery to cancer cells by folate-targeted lipid mesophases, cubosomes (CUB) and hexosomes (HEX), loaded with doxorubicin (DOX). Three cancer-derived cell lines (KB, HeLa, T98G) exhibiting different expressional levels of folate receptor protein...
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Second-order Stark effect and polarizability of a relativistic two-dimensional hydrogenlike atom in the ground state
PublikacjaThe 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
PublikacjaThe 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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A Dirac delta-type orthogonality relation for the on-the-cut generalized associated Legendre functions of the first kind with imaginary second upper indices
PublikacjaThe orthogonality relation for the on-the-cut generalized associated Legendre functions of the first kind with imaginary second upper indices is evaluated in a closed form. It is found to be proportional to a sum of two terms, both depending on the second upper indices and containing the Dirac delta distribution.
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Decomposition of xenobiotics during visible light irradiation in the presence of immobilised photosensitisers: kinetics study
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Tb3+ ions in the presence of ZnS:Mn2+ nanocrystals incorporated into silica: Tb3+ and Mn2+ luminescence kinetics
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Understanding the kinetics and atmospheric degradation mechanism of chlorotrifluoroethylene (CF2=CFCl) initiated by OH radicals
PublikacjaThe atmospheric degradation of chlorotrifluoroethylene (CTFE) by OH˙ was investigated using density functional theory (DFT). The potential energy surfaces were also defined in terms of single-point energies derived from the linked cluster CCSD(T) theory. With an energy barrier of −2.62 to −0.99 kcal mol−1 using the M06-2x method, the negative temperature dependence was determined. The OH˙ attack on Cα and Cβ atoms (labeled pathways...
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Effects of the polyhistidine tag on kinetics and other properties of trehalose synthase from Deionococcus geothermalis
PublikacjaTwo recombinant trehalose synthases from Deinococcus geothermalis (DSMZ 11300) were compared. A significant influence of the artificial polyhistidine tag was observed in protein constitution. The recombinant trehalose synthase from D. geothermalis with His6 -tag has a higher K m value of 254 mM, in comparison with the wild-type trehalose synthase (K m 170 mM), and displayed a lower activity of maltose conversion when compared...
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The application of Monod equation to denitrification kinetics description in the moving bed biofilm reactor (MBBR)
PublikacjaIn this paper, the kinetic constants Vmax and KCOD occurring in the Monod equation, which describe the denitrification process in the moving bed, are determined. For this purpose, a laboratory moving bed biofilm reactor (MBBR) was used. The filling of the reactor consisted of EvU Perl carriers. The experiment was carried out with an excess of nitrate, and denitrification rate was dependent on the concentration of external organic...
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Preparation and Characterization of Indomethacin Supramolecular Systems with β-Cyclodextrin in Order to Estimate Photostability Improvement
PublikacjaCyclodextrins 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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First isolation of polysaccharidic ulvans from the cell walls of freshwater algae
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First recurrent large genomic rearrangement in the BRCA1 gene found in Poland
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Phonons of (100) and (110) iron surfaces from first-principles calculations
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To Be or Not to Be Expressed: The First Evidence of a Nucleolar Dominance Tissue-Specificity in Brachypodium hybridum
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Nutritional status and food choices among first year medical students
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Discovery of the First Highly Selective Antagonist of the GluK3 Kainate Receptor Subtype
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Addendum to ''On the derivative of the Legendre function of the first kind with respect to its degree''
PublikacjaPraca stanowi uzupełnienie wcześniejszej publikacji autora [J. Phys. A: Math. Gen. 39(2006) 15147-15172]. Przedstawiono w niej nowe wyrażenia dla pochodnej funkcji Legendre'a względem jej indeksu i zastosowano je do konstrukcji dwóch nowych reprezentacji funkcji Legendre'a drugiego rodzaju z całkowitym indeksem.
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Rating mathematical models for first-pass of tracer in pCT lung studies
PublikacjaThis paper presents a comparison of model based on the Gauss function and the most commonly used Gamma-variate model in perfusion computed tomography (pCT) lung studies. It also verifies whether used model affects value of blood volume parameter. Three mean concentration-time curves were created from actual pCT measurements: arterial input function, blood vessels in lungs and lung parenchyma. On the basis of these mean curves we...
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The first International Comparative Social Enterprise Models Working Paper: Poland
PublikacjaIn this paper, social enterprise models: entrepreneurial nonprofit organizations, cooperatives and vocational enterprises for the disabled are presented. Their emergence and institutionalization in the Polish social enterprise organizations landscape is provided and analysed. Also, the authors point to the convergences and divergences between these three models. Additionally historical background and institutional trajectories...
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Very High Frequency Technique Laboratory - First Step to the World of Microwaves
PublikacjaArtykuł opisuje nowe podejście do zajęć dydaktycznych związanych z przedmiotem Technika Bardzo Wysokich Częstotliwości.
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Dynamic analysis of the first stage compressor bladed disc of an aircraft engine
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Electronic structure of PrBa2Cu3O7 after high-pressure compressionfrom first principles
PublikacjaW pracy zbadano wpływ ściskania wysokociśnieniowego (P=9GPa) na elektronową strukturę pasmową, rozkład ładunku i momenty magnetyczne w pełni utlenionego stechiometrycznego układu PrBa2Cu3O7. Zaobserwowano następujące zmiany wywołane ściskaniem: (1) zmniejszoną gęstość stanów (DOS) na poziomie Fermiego Ef, (2) zwiększona różnicę pomiędzy wartościami DOS dla stanów "spin-up" i "spin-down" w najbliższym otoczeniu Ef, (3) zmniejszone...
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First Copper(I) and Silver(I) Complexes Containing Phosphanylphosphido Ligands
PublikacjaThree new complexes with phosphanylphosphido ligands, [Cu4{μ2-P(SiMe3)-PtBu}4](1), [Ag4{μ2-P(SiMe3)-PtBu2}4](2) and [Cu{η1-P(SiMe3)-PiPr2}2]–[Li(Diglyme)2] (3) were synthesized and structurally characterized by X-ray diffraction, NMR spectroscopy, and elemental analysis. Complexes 1 and 2 were obtained in the reactionsof lithium derivative of diphosphane tBu2P-P(SiMe3)Li·2.7THF withCuCl and [iBu3PAgCl]4, respectively....
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Light formed through urban morphology and different organism groups: First findings from a systematic review
PublikacjaThe prevailing implementation and usage of contemporary lighting technologies and design practices in cities have created over-illuminated built environments. Recent studies indicate that exposure to electric lighting effects formed through spatial characteristics has visual, physiological, and behavioural effects on both humans and non-humans, such as wildlife. In order to gain a better understanding of the impact that electric...
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Kinetics of cyclohexane removal by Candida subhashii and Fusarium solani
Dane BadawczeDataset presents cyclohexane biodegradation in gas phase using two species of microorganisms: Candida Subhashii and Fusarium solani. Biodegradation was carried out in sealed chambers with a capacity of 1000 ml. In each of them there are two discs inhabited with microorganisms, made of polyurethane foam, 80 mm in diameter and 20 mm thick.