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Optimal Control for Discrete Fractional Systems
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N-(diphenoxyphosphoryl)succinimide:synthesis and reaction with alkoxides
PublicationReakcja sukcynoimidu z chlorkiem difenylofosforowym w obecności lda a prowadzi do powstania amidofosforanu. ta sama reakcja prowadzona w obecności wodorku sodu pozwala na otrzymanie fosforylowanego sukcynoimidu, który w reakcji z alkoholanami w nasteptwie otwarcia pierścienia, prowadzi do do analogów amidofosforanu z dobrymi wydajnościami.
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Fractional differential equations with deviating arguments
PublicationDla równań różniczkowych typu ułamkowego, zostały podane warunki dostateczne na istnienie jednego rozwiązania lub rozwiazań ekstremalnych. Nierówności różniczkowe są też doskutowane.
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Acceleration of the discrete Green's function computations
PublicationResults of the acceleration of the 3-D discrete Green's function (DGF) computations on the multicore processor are presented. The code was developed in the multiple precision arithmetic with use of the OpenMP parallel programming interface. As a result, the speedup factor of three orders of magnitude compared to the previous implementation was obtained thus applicability of the DGF in FDTD simulations was significantly improved.
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Accuracy of the discrete Green's function computations
PublicationThis paper discusses the accuracy of the discrete Green's function (DGF) computations. Recently closed-form expression of the DGF and its efficient numerical implementation were presented which facilitate the DGF applications in FDTD simulations of radiation and scattering problems. By carefully comparing the DGF results to those of the FDTD simulation, one can make conclusions about the range of the applicability of the DGF for...
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A procedure for elastoplastic hardening function identification.
PublicationThe inverse analysis method for identifying a nonlinear hardening function,which governs a plastic yielding of soil and rock materials in the framework of elastoplastic theory is presented. A concept of two stage finite element based on spatial discretization of computational space and hardening function space is introduced. The proposed inverse analysis can be classified as the output least squares method. The Levenberg Marquard...
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Load function walking pedestrian on the footbridge.
PublicationModern foot bridges are more and more sensitive to variable load created by moving pedestrians. These are several reasons for that. Quickly growing up road infrastructure forces us to build foot bridges just to reconnect one piece of land, separated now by the new road or railway. These bridges are lightweight because the only live load acting on them comes from pedestrians.The paper focuses on the definition of human induces dynamic...
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On Applications of Fractional Derivatives in Circuit Theory
PublicationIn 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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On Applications of Fractional Derivatives in Electromagnetic Theory
PublicationIn 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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Action Plan “Women”
PublicationEmployees of a company are not the first alternative coming into one’s mind when searching suitable successor for the business. Those belonging to the company’s management group are in many cases asked for their interest in being a successor, but the lower level an employee is in the hierarchy, the less probably he/she is inquired of his/her interest in becoming a successor. The contemporary entrepreneur may have had conflicts...
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Phytochemical Profiling and Larval Control of Erythrina variegata Methanol Fraction against Malarial and Filarial Vector
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Automated Diagnostics of Current Pick-Up Disturbances in Electric Traction Networks
PublicationThe present work defines the basic causes of bow disturbances of current pick-up, sets a task of establishing a system of automated control of bow disturbances at feeder zones of electric traction networks, proposes structural variants of the technical system implementation, describes the algorithm of detection of bow disturbances of current pick-up.
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Higher harmonics produced by traction substations – computer modelling and experimental verification
PublicationVoltage and current harmonics have a detrimental effect on the components of a power system. Current harmonics may result in the overload and damage to power transformers, although the rms value of load current does not exceed their current-carrying capacity. Voltage harmonics may result in, for example, damage to capacitor banks used to compensate reactive power. Devices which contribute to both current and voltage distortion...
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A new concept of measuring the friction forces for cartilage and polymers with viscoelastic properties
PublicationReferat przedstawia nową koncepcję dotyczącą pomiaru niskich sił tarcia oraz właściwości materiałów lepkosprężystych. Zaprezentowano: ogólny zarys metody pomiaru, wskazania dotyczące projektowania i budowy urządzenia pomiarowego, model matematyczny oraz sposób identyfikacji parametrów modelu. Metoda ta jest szczególnie przydatna w przypadku analizy właściwości materiałowej polimerów oraz tkanki chrząstki stawowej człowieka, zarówno...
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Influence of nitrogen and organic matter fractions on wastewater treatment in treatment wetland
PublicationMunicipal 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
PublicationThe 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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THE POSSIBILITY OF USE OF LASER-MODIFIED Ti6Al4V ALLOY IN FRICTION PAIRS IN ENDOPROSTHESES
PublicationThe purpose of this paper is to show results of laser treatment at cryogenic conditions of the Ti6Al4V alloy used for orthopedic applications. That modification process ought to bring beneficial changes of microstructure and residual stresses in the surface layer. The paper presents the abrasive wear of the base and laser remelted material in association with ceramics Al2O3. Despite the surface cracking after laser treatment the...
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Nonlinear modeling of traction transformer with coiled iron core for dynamic simulation
PublicationW referacie przedstawiono wyprowadzenie zastępczego modelu obwodowego transformatora trakcyjnego o rdzeniu zwijanym do analiz zachowania sie transformatora w układzie napedowym jednostki trakcyjnej. Model zakłada nieliniowa charakterystyke magnesowania B-H i anizotropowe właściwosci magnetyczne i elektryczne zwijanego rdzenia. Wyprowadzenie modelu oparto na metodzie energetycznej Lagrange'a. Uzwojenia zostały zamodelowanie jako...
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Determination of bisphenol A in size fractions of indoor dust from several microenvironments
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COMPARISON OF THE ABRASION RESISTANCE OF THE SELECTED BIOMATERIALS FOR FRICTION COMPONENTS IN ORTHOPEDIC ENDOPROSTHESES
PublicationRosnące z każdym rokiem zapotrzebowanie na endoprotezy stawów ortopedycznych przy jednoczesnym dążeniu do zwiększenia ich trwałości i wyeliminowania negatywnych skutków ubocznych produktów zużycia, które mogą wywoływać proces zapalny w tkankach determinuje potrzebę poszukiwania nowych biomateriałów, bądź metody modyfikacji ich powierzchni. Nadrzędnym celem prowadzonych przez nas badań było oszacowanie intensywności zużycia ściernego...
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The concept of weighted mean friction angle in bearning capacity of footings of sands
PublicationZagadnienie średniej ważonej kąta tarcia wewnętrznego w nośności fundamentów posadowionych w gruntach niespoistych.
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Metabolic transformation of antitumor agent C1311 with various fractions of rat liver.
PublicationWykazano, 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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Power converter interface for urban DC traction substations - solutions and functionality.
PublicationThis paper focuses on extending an urban DC traction substation functionality by means of an additional power converter interface (PCI). In particular, by enabling bidirectional energy exchange between LV DC traction grid, AC grid and V2G chargers. Among other things, the presented material compares general attributes of the most promising DC/DC converters that can be used in a PCI, meet the requirements of galvanic isolation and...
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An Overview of Bidirectional EV Chargers: Empowering Traction Grid-Powered Chargers
PublicationIn recent years, the number of electric vehicles has been at least doubling year after year. As a result, today electric vehicles already account for approximately 10% of the global automotive market, which positively affects environment in urbanized areas. However, to take full advantage of the EV integration it is necessary to use renewable sources for their charging; optimally place charging stations/terminals; optimally manage...
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Theoretical study of thermofrictional oscillations due to negative friction-temperature characteristic
PublicationAnalytical study on oscillations of a body on a moving counterbody has been done by assuming imperfect frictional thermal contact and friction that decreases with contact temperature. It has been shown that stick-slip oscillation occurs due to decrease of friction coefficient when the body moves in the opposite direction to the counterbody. Dynamical characteristics, such as conditions for stable sliding and limit cycles, have...
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Analytical Study of Sliding Instability due to Velocity- and Temperature-Dependent Friction
PublicationThe instability of sliding causes deterioration of performance characteristics of tribosystems and is undesired. To predict its occurrence, the motion of a body of a one-degree-of-freedom system with friction is investigated about the steady sliding equilibrium position. The motion equation is formulated with the friction coefficient dependent on the sliding velocity and contact temperature changing due to transient heat conduction...
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Modeling the debonding process of osseointegrated implants due to coupled adhesion and friction
PublicationCementless implants have become widely used for total hip replacement surgery. The long-term stability of these implants is achieved by bone growing around and into the rough surface of the implant, a process called osseointegration. However, debonding of the bone–implant interface can still occur due to aseptic implant loosening and insufficient osseointegration, which may have dramatic consequences. The aim of this work is to...
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Thermal boundary conditions to simulate friction layers and coatings at sliding contacts
PublicationA brief review of the thermal boundary conditions specified at sliding interfaces was performed. New thermal boundary conditions were derived aimed at solving problems of sliding with account of surface layers representing friction layers and tribological coatings. Based on the assumption of linear temperature distributions in the surface layers, the proposed conditions enable one to simplify simulations by eliminating the surface...
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Contact with coupled adhesion and friction: Computational framework, applications, and new insights
PublicationContact involving soft materials often combines dry adhesion, sliding friction, and large deformations. At the local level, these three aspects are rarely captured simultaneously, but included in the theoretical models by Mergel et al., (2019). We here develop a corresponding finite element framework that captures 3D finite-strain contact of two deformable bodies. This framework is suitable to investigate sliding friction even...
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Evaluation and cellular responses of modulators of TRF1/TRF2 protein’s function as potential anticancer drugs interfering with telomeric shelterin’s function
PublicationA number of proteins that interact with telomeres have been identified in human cells, indicating the high plasticity of human nucleoprotein complex organization. The most important complex is the "shelterin" complex, which consists of six proteins: TRF1, TRF2, TIN2, POT1, TPP1. The TRF1 and TRF2 directly bind to telomeric double-stranded DNA and the TIN2 protein. The TIN2 protein also binds to the TPP1 protein, stabilizing the...
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Postbiotics in oncology: science or science fiction?
PublicationThe gut microbiome has been increasingly understood to play a critical role in carcinogenesis and cancer disease progression. The most recent research advancements have shown that different tools of microbiota manipulation contribute to gut microbiome–immune–oncology axis modulation, offering exciting opportunities for targeted interventions aimed at improving the efficacy of established anti-cancer therapy. Postbiotics are a new...
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The productive function of the will in the pfilosophical thought of William James
PublicationW artykule przedstawiłem W. Jamesa koncepcję wolnej woli w jej wytwórczej funkcji. Pokazałem, że zrównuje ona ludzkie poznanie i ludzką aktywność. Następnie podkreśliłem, że wola ma wieloaspektowy charakter w formowaniu nowego "wewnętrznego człowieka". W związku z tym, zanalizowałem tzw. empiryczne 'ja' jako "niższe" i "wyższe" 'ja'. Z kolei podkreśliłem walor konsekwencji teleologicznej cechy ludzkiej...
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MutS3: a MutS homologue of unknown biological function
PublicationThe homologues of MutS proteins are widespread among both Prokaryotes and Eukaryotes. MutS designated as MutS1 is a part of MMR (mismatch repair) system which is responsible for removal of mispaired bases and small insertion/deletion loops in DNA. Initially, the only MutS homologues known were those engaged in mismatch repair and these were later designated as MutS1. Subsequently, the MutS2 homologue was distinguished. MutS2 does...
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Green function diagonal for a class of heat equations
PublicationA construction of the heat kernel diagonal is considered as element of generalized zeta function theory, which gradient at the origin defines determinant of a differential operator in a technique for regularizing quadratic path integral. Some classes of explicit expressions of the Green function in the case of finite-gap potential coefficient of the heat equation are constructed. An algorithm and program for Mathematica are presented...
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RSN reverse converter based on core function
Publicationzaprezentowano nową architekturę konwertera z systemu resztowego do systemu binarnego opartego na funkcji jądra dla modułów 5-bitowego. Zastosowano niekrytyczną funkcję jądra.Obliczanie funkcji jądra jest realizowane przy użyciu chińskiego twierdzenia dla funkcji jądra (CRTCF). Założono także, że jeden z modułów jest potegą 2. Architektura ta umożliwia zmniejszenie złożoności sprzętowej o ok. 12.5% w porównaniu z innymi architekturami...
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Clothing sets with thermoregulation function for mine rescuers
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Country Safety Performance Function and the factors affecting it
PublicationW artykule przedstawiono metodę modelowania wpływu wybranych czynników na liczbę ofiar śmiertelnych na poziomie światowym. Do budowy modeli wykorzystano podejście bazujące na ryzyku. Wykorzystano dane z kilkudziesięciu krajów świata.
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Fractional Derivatives Application to Image Fusion Problems
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Production of trehalose in a single step enzymatic reaction
PublicationThe aim of this study was isolation and cloning of trehalose synthase gene derived from extremophilic microorganisms Deinoccoci to the expressive E. coli vectors and its biosythesis in different hosts.
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THE FUNCTION OF GREENERY IN A SKYSCRAPER: THE PLACEMENT AND ITS INFLUENCE
PublicationThe contrast between the high rise buildings; with their mostly geometric shapes, and the organic form of the greenery was visible even in the idea of a skyscraper. Yet the realizations and recent projects show emerging interest and the link between them. To better understand the developing function of the greenery in the context of a skyscraper, both literature and case studies are conducted. The aim is to relate the location...
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New products of reaction of Lawesson's reagent with diols.
PublicationW artykule przedstawiono syntezę i szczegółową charakterystykę strukturalną i konformacyjną 8-, 9- i 10-członowych pierścieniowych związków heterocyklicznych o unikatowym układzie atomów O-P-S-S. W wyniku reakcji a,w-dioli z odczynnikiem Lawessona wobec zasad powstają odpowiednie sole kwasów bisditiofosfonowych, które po utlenieniu dają w/w pierścieniowe disulfidy. Kwasy bisditiofosfonowe przekształcono także w trwałe diestry S-metylowe,...
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Approximation of Covariance Function with Application to Stochastic Mechanics.
PublicationW pracy przedstawiono koncepcję rozwinięć kanonicznych dla funkcji losowych oraz możliwość ich zastosowania w stochastycznej mechanice gruntów. Rozpatrzono rozkład widmowy, rozwinięcia Karhunena-Loevego oraz rozwinięcia ortogonalne zmodyfikowanymi wielomianami Hermite'a. Przeprowadzono analizę błędów dla zagadnienia warstwy gruntu o losowych parametrach sprężystych, uzyskano analityczne rozwiązanie systemu stochastycznego.
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Influence of the shoe type on the ground reaction forces
PublicationThe aim of this work was to estimate a relationship between the type of the footwear and ground reactions. Differences in medio-lateral, anterior-posterior and vertical reactions are compared for different shoe-types for male and female volunteers. Each of the participants gait was recorded in case of different shoes and without them, also stabilograms were analyzed. Results revealed differences in ground reaction forces for different...
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Firing map of an almost periodic input function
PublicationIn mathematical biology and the theory of electric networks the firing map of an integrate-and-fire system is a notion of importance. In order to prove useful properties of this map authors of previous papers assumed that the stimulus function f of the system ẋ = f(t,x) is continuous and usually periodic in the time variable. In this work we show that the required properties of the firing map for the simplified model ẋ = f(t) still...
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Security level estimation as a function of residual risks
PublicationArtykuł przedstawia sposób oceny poziomu bezpieczeństwa organizacji IT w oparciu o metodę oceny ryzyka. Opisane są podstawowe kroki wspomnianej metody, proponowane rozwiązania i zastosowania. Zaproponowano prosty sposób oceny bezpieczeństwa systemów informatycznych organizacji w oparciu o wielkość wyznaczoną na podstawie wyliczonego ryzyka rezydualnego tychże systemów.
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The PARAGON-Heart failure trial – another disappointment for heart failure patients with hypertension and preserved ejection fraction
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Left ventricular ejection fraction and aortic stiffness are independent predictors of neurological outcome in acute ischemic stroke
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THE DETERMINATION OF ABRASION RESISTANCE OF SELECTED BIOMATERIALS FOR THE FRICTION PAIRS IN THE HIP JOINT ENDOPROSTHESIS
PublicationThe key requirement for the modern endoprosthesis is high durability of the friction components, which results in long and trouble-free operation in the human body. The durability of currently used endoprosthesis is often limited by tribological wear processes of friction components (e.g. between the head and the acetabular component in a hip joint endoprosthesis) [8, 19, 23, 24]. In order to compare the tribological wear, tribological...
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Use of numerical methods in the analysis of traction energy systems—an overview of the practical examples
PublicationA characteristic feature of trolleybus transport is the random nature of traffic caused by congestion. It predestinates statistical and numerical methods for the analysis of trolleybus energy system. There are presented 3 methods of trolleybus traction system analysis: simulation of supply system based on Monte Carlo method, analysis of energy recovery potential based on statistical data analysis and benchmark of trolleybus supply...
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Evaluation of Wear Resistance of Ti alloys used for elements friction of knee endoprosthesis
PublicationThe paper presents research results of resistance to abrasive wear of titanium alloys: Ti6Al4V (commonly used) and Til3Nb13Zr (alloy of new generation) in association with polyethylene (UHMW-PE) predisposed for elements on pair of the knee endoprosthesis. The results were analysed from the point of possibility of an use of new generation titanium alloys as components of such implants. The tests of resistance to abrasive wear of...