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Some applications of fractional order calculus
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Fractional Order Models of Dynamic Systems
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Optimal Control for Discrete Fractional Systems
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Boundary problems for fractional differential equations
PublikacjaIn this paper, the existence of solutions of fractional differential equations with nonlinear boundary conditions is investigated. The monotone iterative method combined with lower and upper solutions is applied. Fractional differential inequalities are also discussed. Two examples are added to illustrate the results.
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On Applications of Fractional Derivatives in Electromagnetic Theory
PublikacjaIn this paper, concepts of fractional-order (FO) derivatives are analysed from the point of view of applications in the electromagnetic theory. The mathematical problems related to the FO generalization of Maxwell's equations are investigated. The most popular formulations of the fractional derivatives, i.e., Riemann-Liouville, Caputo, Grünwald-Letnikov and Marchaud definitions, are considered. Properties of these derivatives are...
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On Applications of Fractional Derivatives in Circuit Theory
PublikacjaIn this paper, concepts of fractional-order (FO) derivatives are discussed from the point of view of applications in the circuit theory. The properties of FO derivatives required for the circuit-level modelling are formulated. Potential problems related to the generalization of transmission line equations with the use of FO derivatives are presented. It is demonstrated that some of formulations of the FO derivatives have limited...
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Fractional Order Dynamic Positioning Controller
PublikacjaImproving the performance of Dynamic Positioning System in such applications as station keeping, position mooring and slow speed references tracking requires improving the position and heading control precision. These goals can be achieved through the improvement of the ship control system. Fractional-order calculus is a very useful tool which extends classical, integer-order calculus and is used in contemporary modeling and control...
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Systems of Nonlinear Fractional Differential Equations
PublikacjaUsing the iterative method, this paper investigates the existence of a unique solution to systems of nonlinear fractional differential equations, which involve the right-handed Riemann-Liouville fractional derivatives D(T)(q)x and D(T)(q)y. Systems of linear fractional differential equations are also discussed. Two examples are added to illustrate the results.
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Fractional differential equations with causal operators
PublikacjaWe study fractional differential equations with causal operators. The existence of solutions is obtained by applying the successive approximate method. Some applications are discussed including also the case when causal operator Q is a linear operator. Examples illustrate some results.
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A vector-enzymatic DNA fragment amplification-expression technology for construction of artificial, concatemeric DNA, RNA and proteins for novel biomaterials, biomedical and industrial applications
PublikacjaA DNA fragment amplification/expression technology for the production of new generation biomaterials for scientific, industrial and biomedical applications is described. The technology enables the formation of artificial Open Reading Frames (ORFs) encoding concatemeric RNAs and proteins. It recruits the Type IIS SapI restriction endonuclease (REase) for an assembling of DNA fragments in an ordered head-to-tail-orientation. The...
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EKSPERTYZA TECHNICZNA DOTYCZĄCA MOŻLIWOŚCI PRZEBUDOWY I MODERNIZACJIBUDYNKU HOTELOWEGO - SCHRONISKA MŁODZIEŻOWEGO "WYSPA ŚWIĘTEGO FRANCISZKA"
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Charakterystyka frakcji oleju palmowego otrzymanych na drodze wielostopniowej krystalizacji
PublikacjaPrzeprowadzono wielostopniową frakcjonowaną krystalizację oleju palmowego z acetonu. Stosując temperatury krystalizacji od 25 do 0C, otrzymano siedem frakcji znacznie różniących się budową chemiczną i właściwościami fizycznymi. We frakcjach oznaczono skład kwasów tłuszczowych metodą GLC oraz zawartość triacylogliceroli metodą HPLC. Zbadano też właściwości fizyczne otrzymanych frakcji. Oznaczono zawartości fazy stałej metodą pulsacyjnego...
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Problem obecności szkła przy zagospodarowaniu frakcji biologicznej odpadów komunalnych
PublikacjaW pracy przedstawiono wyniki badań morfologii odpadów komunalnych zmieszanych i bio-frakcji. Uwzględniono udział frakcji organicznej, nieorganicznej oraz szkła. Omówiono uwarunkowania zagospodarowania kompostu z odpadów komunalnych, pod kątem obecności stłuczki szklanej.
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Novel microstrip low-pass filters with fractal defected ground structures
PublikacjaIn this study, three microstrip low-pass filters (LPFs) containing fractal-shaped defected ground structures have been designed and manufactured. To improve the performance of microstrip LPF, cascades of inductively coupled fractal resonators have been applied. Simultaneously, to achieve relatively constant microstrip impedance resulting in essentially low reflection losses, a modification of the strip geometry has been introduced....
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Sensivity of echo envelope fractal dimension to bottom type and bottom depth.
PublikacjaPrzedstawiono wynik badania zależności pomiędzy wymiarem fraktalnym obwiedni echa akustycznego od dna a rodzajem dna na wpływ głębokości dna na tę zależność. Wykorzystano sygnały ech otrzymane w wyniku numerycznych symulacji rozpraszania na granicy woda dno dla różnych głębokości dna.
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Diffusion equations with spatially dependent coefficients and fractal Cauer-type networks
PublikacjaIn this article, we formulate and solve the representation problem for diffusion equations: giving a discretization of the Laplace transform of a diffusion equation under a space discretization over a space scale determined by an increment h > 0, can we construct a continuous in h family of Cauer ladder networks whose constitutive equations match for all h > 0 the discretization. It is proved that for a finite differences discretization...
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Determination of COD Fractionation as a Key Factor for Appropriate Modelling and Monitoring of Activated Sludge Processes
PublikacjaAn operation of wastewater treatment plant is usually controlled by global parameters such as flow, solids retention time, sludge age, concentration of ammonia and dissolved oxygen, etc. It is considered that, together with the chemical and biological oxygen demand (COD and BOD), those parameters indirectly exhibit the effectiveness of activated sludge processes. Especially the BOD indicate the amount of organic pollution that...
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Beyond the helium buffer: 12C−2 rotational cooling in cold traps with H2 as a partner gas: interaction forces and quantum dynamics
Publikacjaabstract = { The scattering cross-sections and corresponding rate coefficients for rotationally inelastic collisions of $^{12}$C$_2$^-$ ($^2 \Sigma_g^+$) with H$_2$ ($^1 \Sigma_g^+$) are presented over a broad range of cold-trap temperatures. They have been calculated using quantum scattering theory that employs a new ab initio potential energy surface. The rate coefficients for the inelastic processes in the anionic partner are...
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Problemy rewitalizacji osiedli socjalnych okresu XX-lecia międzywojennego we Francji i Holandii.
PublikacjaPrzedstawiono szeroko sytuację rewitalizacji osiedli socjalnych w Holandii Francji. Przedstawiono konkretne przykłady, specyfikację i szeroki materiał ilustracyjny.
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Influence of the fragment size on the recycling process of thin-film modules based on CdTe
PublikacjaFor several years, the production of second generation cells (the so-called thin film), produced from amorphous silicon, cadmium telluride (CdTe) or copper indium (gallium) diselenide (CI(G)S), has been increasing. The total number of end-of-life panels by 2050 is expected to reach 9.57 million tonnes. They contain heavy metals that can be leached into the environment at the land field. The EU directive on waste electrical and...
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IMPLEMENTATION OF THE POST-SYNODAL APOSTOLIC EXHORTATION "AMORIS LAETITIA" OF POPE FRANCIS IN THE PASTORAL CARE OF IRREGULAR SITUATIONS IN THE DIOCESE OF PŁOCK
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Pre-treatment of bio fraction waste prior to fermentation processes
PublikacjaCurrent efforts are taken to increase resource efficiency, close material loops, and improve sustainable waste and by-products management. Thus, networking agro-food by-products and converting them into valuable products completely exhausting the potential of the raw material becomes significant. Model lignocellulosic and starch based biomass were subjected to pre-treatment with the application of acidic compounds, i.e. sulphuric...
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Effective Drug Concentration and Selectivity Depends on Fraction of Primitive Cells
PublikacjaPoor efficiency of chemotherapeutics in the eradication of Cancer Stem Cells (CSCs) has been driving the search for more active and specific compounds. In this work, we show how cell density-dependent stage culture profiles can be used in drug development workflows to achieve more robust drug activity (IC50 and EC50) results. Using flow cytometry and light microscopy, we characterized the cytological stage profiles of the HL-60-,...
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Bound on Bell inequalities by fraction of determinism and reverse triangle inequality
PublikacjaIt is an established fact that entanglement is a resource. Sharing an entangled state leads to nonlocal correlations and to violations of Bell inequalities. Such nonlocal correlations illustrate the advantage of quantum resources over classical resources. In this paper, we quantitatively study Bell inequalities with 2 × n inputs. As found in Gisin et al. [Int. J. Quantum. Inform. 05, 525 (2007)], quantum mechanical correlations...
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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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Configuration of the reference stations as the element of national reference frame reliability
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Timber frame houses resistant to dynamic loads - seismic analysis
PublikacjaThe aim of the article is to present results of seismic analysis results of two real-sized timber frame buildings subjected to seismic excitations. The first model was insulated with mineral wool, the second one with polyurethane foam. Technology and specifications involved in both models construction is based on the previously conducted experimental research on timber frame houses, including wall panels tests, wall numerical models...
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Timber Frame Houses with Different Insulation Materials - Seismic Analysis
PublikacjaThe aim of this article is to present results of a dynamic numerical analysis focused on the response of two timber frame building structures exposed to seismic excitations. The first structure was insulated with mineral wool, while the second one with polyurethane foam. Specifications and technology involved in the models' construction are based on the previously conducted experimental study, upon which numerical structural models...
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Activities of the Astro-geodetic Observatory in Jozefoslaw in the frame of IGS and EUREF
PublikacjaThe Astrogeodetic Observatory of the Institute of Geodesy and Geodetic Astronomy of the Warsaw University of Technology (WUT) in Jozefoslaw was incorporated in 1957. In 1991 it joined the International GPS Service (IGS) and started to operate as a permanent in 1993. Since then the following permanent services have been maintained: GPS observations using Trimble and Turbo Rogue receivers, tidal gravimetric observations with LaCoste&Romberg...
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Free vibration analysis of thin-walled frames with use of node superelements
PublikacjaW pracy proponuje się model ramy cienkościennej zbudowany z prętów cienkościennych i superelementów węzłowych do analizy dragń swobodnych. Dzięki temu modelowi istnieje możliwość uwzględnienia wpływu deformacji węzłów na częstości i postacie drgań własnych. Porównanie wyników analizy numerycznej z rezultatami opatymi na modelu jednowymiarowym, belkowym i modelu podziału ramy na dwuwymiarowe elemnty skończone wskazuje na poprawność...
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Electron impact fragmentation of pyrrole molecules studied by fluorescence emission spectroscopy
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Fragmentation of isoxazole molecules by electron impact in the energy range 10–85eV
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Shape Restoration of Deformed Egg-Shaped Single Layer Space Frames
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Cross sections for ionization and ionic fragmentation of pyrimidine molecules by electron collisions
PublikacjaThe electron impact mass spectroscopy and the total ion collection measurements were used to investigate the ionization and ionic fragmentation of the pyrimidine, C4H4N2, molecules in the gasphase. The cation mass spectra were measured in the 10−85 amu range and the observed mass peaks assigned to corresponding ionic fragments. The most abundant cation in the mass spectra is the parent cation, C4H4N+2, at 80 amu. The appearance...
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Numerical simulation of behaviour of thin-walled frames subjected to static loads
PublikacjaArtykuł poświęcony jest problemowi zachowania się ramy, zbudowanej z elementów cienkościennych o przekroju bisymetrycznym obciążonej momentem skręcającym.
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Optical Spectroscopic Studies of Tetrahydrofuran Fragmentation Induced by Collisions with Dihydrogen Cations
PublikacjaCollisions of dihydrogen cations with tetrahydrofuran molecules have been studied. Luminescence spectra and the emission functions of the excited products at projectile energies ranging from 8 to 1000 eV have been measured using collision-induced emission spectroscopy. The recorded spectra are dominated by the atomic lines of the hydrogen Balmer series, whose intensities decrease more quickly than derived by the quantum-theoretical...
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Charge dependence of fragmentation process induced by ion collisions with furan molecule
PublikacjaThe goal of this work is to describe the system evolution after ion-molecule interaction. We combine different quantum chemistry and statistical mechanics approaches in order to give extended description of the process. Herein we report on a recent study of the fragmentation mechanism of neutral, singly- and doubly-ionized furan molecule in the gas phase.
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Electron impact fragmentation of pyrrole molecules studied by fluorescence emission spectroscopy
PublikacjaThe fluorescence emission spectroscopy using electron impact excitation technique was employed to study fragmentation processes of the gas phase pyrrole molecules. The following excited fragmentation species were observed by detection of their fluorescence decay: the atomic hydrogen H(n), n = 4-7 and the diatomic CH(A2Δ), CN(B2Σ+), NH(A3Π) and C2(d3Πg) fragments. These atomic and molecular products differ from those previously...
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Determination of bisphenol A in size fractions of indoor dust from several microenvironments
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Influence of nitrogen and organic matter fractions on wastewater treatment in treatment wetland
PublikacjaMunicipal wastewater contains both biodegradable and non-degradable pollutants. Moreover, they are present in dissolved, colloidal and particulate forms. These fractions are characterised by various decomposition rates, hence their bioavailability during microbial respiration. It was confirm that biological degradation rate in terms of COD reduction is influenced by particle size speciation. Therefore, the objective of the study...
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Organic matter removal efficiency in treatment wetlands simulation by COD fractions
PublikacjaThe objective of this paper was to investigate the organic fraction (colloidal, particulate, and dissolved) in sewage treatment in treatment wetland. Performance of TWs was simulated well with a simple first order model k – C* based on monitoring data. In this investigation background or residual concentration (C*) was assumed to be equal concentration of input influent organic matter in particulate (CODp). Calculated reaction...
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Metabolic transformation of antitumor agent C1311 with various fractions of rat liver.
PublikacjaWykazano, że enzymatyczna aktywacja jest konieczna dla aktywności bilogicznej pochodnej C-1311. Zbadano przemiany związku w obecności różnych frakcji enzymatycznych mikrosomalnych komórek wątroby szczura.Badania te wykazały, że związek C-1311 jest bardziej podatny na transformację pod wpływem frakcji aktywowanych enzymów mikrosomalnych (CYP1A, CYP2B, CYP3A i CYP4A) niż frakcji S9, cytozolowej czy mikrosomów nieaktywowanych. Związek...
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Pologne – France : un match bibliométrique. Réflexions sur les scores des publications scientifiques
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Luminescence quenching in KYb(WO4)2-Tb3+: An example of temperature-pressure equivalence
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The significance of the underground experience: Selection of reference design cases from the underground public transport stations and interchanges of the European Union
PublikacjaAbstract Background Recent research into the way public transport users appreciate stations and interchanges has highlighted several key aspects. Importantly, the optimization of these facilities should not simply aim to resolve dissatisfiers, but should also focus on addressing satisfiers, through the incorporation of factors such as comfort and experience. ‘Soft requirements,’ which have emerged in architecture and urban design,...
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Quantitative determination of titin and nebulin in poultry meat by SDS-PAGE with an internal standard
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Some solutions of unsteady flow in bioreactor.
PublikacjaCzas regeneracji chrząstki stawowej po urazie jest długotrwały. Czasem tkanka nie regeneruje się. Dlatego też przeszczepy odgrywają bardzo ważną rolę. Najlepsze efekty hodowli tkanek zaobserwowano w bioreaktorach wykonujących ruch obrotowy i zapewniających nieustalony charakter przepływu ciecy odżywczej. Dlatego tematem niniejszego artykułu są pewne metody i rozwiązania nieustalonego przepływu cieczy w warstwie przyściennej hodowanej...
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A review on electrospun membranes for potential air filtration application
PublikacjaAir pollution is one of the major environmental concerns in most highly populated cities, which is typically caused by particulate (PM2.5 and PM0.1) or gaseous pollutants that can be removed using electrospun membranes. These membranes are characterized by different features in terms of uniform and controllable structure, tuneable porosity, and high surface area, where their separation efficiency strongly depends on their properties....
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Fractional Derivatives Application to Image Fusion Problems
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WPŁYW FRAKCJI C IEKŁEJ POFERMENTU NA PROCES MEZOFILOWEJ FERMENTACJI METANOWEJ
PublikacjaBadano wpływ zawrotu frakcji ciekłej pofermentu na przebieg procesu fermentacji mezofilowej w bioreaktorach laboratoryjnych o pojemności całkowitej 10 dm3 w procesie quasi-ciągłym. Ba-dania prowadzono jednocześnie w dwu bliźniaczych reaktorach, z których pierwszy (R1) pełnił rolę układu referencyjnego a do drugiego (R2) podawano biomasę zawierającą frakcję ciekłą pofermentu. W trakcie prowadzonych badań nie zauważono istotnego...