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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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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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Exploration of the Solubility Hyperspace of Selected Active Pharmaceutical Ingredients in Choline- and Betaine-Based Deep Eutectic Solvents: Machine Learning Modeling and Experimental Validation
PublikacjaDeep eutectic solvents (DESs) are popular green media used for various industrial, pharmaceutical, and biomedical applications. However, the possible compositions of eutectic systems are so numerous that it is impossible to study all of them experimentally. To remedy this limitation, the solubility landscape of selected active pharmaceutical ingredients (APIs) in choline chloride- and betaine-based deep eutectic solvents was...
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Honey antibacterial activity: A neglected aspect of honey quality assurance as functional food
PublikacjaBackground Honey is considered as a functional food with health-promoting properties. Its potent antibacterial and antibiofilm effects are the major attributes of so called ‘medical-grade honey’ which is topically used for the treatment of burns, wounds and skin disorders. Nevertheless, the current set of honey quality parameters adopted in the European Union do not include its biological properties. Furthermore, in light of the...
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Systems engineering approach to functional safety and cyber security of industrial critical installations
PublikacjaThis chapter addresses the systems engineering approach to integrated functional safety and cybersecurity analysis and management regarding selected references, standards and requirements concerning critical installations and their industrial automation and control system (IACS). The objective is to mitigate the vulnerability of industrial installations that include the information technology (IT) and the operational technology...
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Systems engineering approach to functional safety and cyber security of industrial critical installations
PublikacjaThis chapter addresses the systems engineering approach to integrated functional safety and cybersecurity analysis and management regarding selected references, standards and requirements concerning critical installations and their industrial automation and control system (IACS). The objective is to mitigate the vulnerability of industrial installations that include the information technology (IT) and the operational technology...
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Designing Control and Protection Systems with Regard to Integrated Functional Safety and Cybersecurity Aspects
PublikacjaThis article addresses current problems of risk analysis and probabilistic modelling for functional safety management in the life cycle of safety-related systems. Two main stages in the lifecycle of these systems are distinguished, namely the design and operation. The risk analysis and probabilistic modelling differ in these stages in view of available knowledge and data. Due to the complexity and uncertainty involved, both qualitative...
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The melatonin-producing system is fully functional in retinal pigment epithelium (ARPE-19)
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Generalized solutions of mixed problems for first-order partial functional differential equations
PublikacjaW pracy udowodniono twierdzenie o istnieniu rozwiązań i ich ciągłej zależności od warunków początkowo brzegowych. Do przekształcenia zagadnienia oryginalnego w układ równań całkowo funkcyjnych typu Volterry użyto metody bicharakterystyk. Istnienie rozwiązań udowodnione jest metodą kolejnych przybliżeń, przy użyciu twierdzeń o nierównościach całkowych. Rozwiązania klasyczne układów równań całkowo funkcyjnych prowadzą do rozwiązań...
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Almost homoclinic solutions for a certain class of mixed type functional differential equations
PublikacjaW pracy opisano pewną metodę aproksymacyjną szukania rozwiązań prawie homoklinicznych dla równań różniczkowo funkcyjnych z opóźnionym i przyśpieszonym argumentem. Podano również przykłady zastosowań tej metody.
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Functional Response of Chrysoperla Zastrowi Sillemi (Esben-Peterson) on Lipaphis erysimi (Keltenbach)
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Multi split functional model of geodetic observations in deformation analyses of the Olsztyn castle
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Effect of fermented and unfermented buckwheat flour on functional properties of gluten-free muffins
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Delay dependent estimates for waveform relaxation methods for neutral differential-functional systems
PublikacjaW pracy dyskutowane są oszacowania błędów z uwzględnieniem ich zależności od opóźnienia dla metod typu ''waveform relaxations'' stosowanych do rozwiązywania układów równań różniczkowo-funkcyjnych typu Volterry i równań różniczkowo-algebraicznych. Oszacowania te służą do oceny szybkości zbieżności tych metod a w niektórych przypadkach do wykazania, że rozwiązanie dokładne otrzymuje się po skończonej liczbie iteracji.
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Aortic stiffness is not only associated with structural but also functional parameters of retinal microcirculation
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Changes of augmentation index early after ischaemic stroke predict functional outcome
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A method for the three-dimensional and synchronous resolution of functional and spatial matters in architectural design
PublikacjaThe article discusses the issue of applied methods of teaching architectural design at Polish universities. The authors review the common methods based on conceptual drawings solving design problems in only two dimensions. After completing the floor plans' sketching process carried out in 2D way the 3D virtual models are made - seldom cardboard mock-ups - to illustrate the final spatial form of the designed object. At the Faculty...
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CeCu2O4 as a functional layer on solid oxide fuel cells for synthetic biogas reforming
PublikacjaSolid Oxide Fuel Cells (SOFC) are one of the most promising electrochemical devices, which can convert chemical energy to the electrical energy these days. Their ability to work with different kind of fuel makes them noteworthy. SOFC can work with biogas. The problem arises when solid carbon starts to be deposited in anode. That leads to degradation of fuel cell. Simple solution is to apply catalytic functional layer, which is...
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Smart Growth – Is It a Fairy Tale or the Best Initiative for Polish Cities and Their Functional Regions?
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Functional safety with cybersecurity for the control and protection systems on example of the oil port infrastructure
PublikacjaSafety and cybersecurity aspects consist of two different group of functional requirements for the industrial control and protection systems in the oil port installation. It is the main reason why the analyses of safety and cybersecurity shouldn’t be integrated directly. These article presented some important issues of the functional safety analysis with regard to cybersecurity aspects in the oil seaport infrastructure. The proposed...
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Closed-loop stimulation of temporal cortex rescues functional networks and improves memory
PublikacjaMemory failures are frustrating and often the result of ineffective encoding. One approach to improving memory outcomes is through direct modulation of brain activity with electrical stimulation. Previous efforts, however, have reported inconsistent effects when using open-loop stimulation and often target the hippocampus and medial temporal lobes. Here we use a closed-loop system to monitor and decode neural activity from direct...
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Integrated approach for functional safety and cyber security management in maritime critical infrastructures
PublikacjaThe work is devoted important issues of the management in maritime critical infrastructure of functional safety analysis, in particular the safety integrity level (SIL) verification of safety functions to be implemented within the distributed control and protection systems with regard to cyber security aspects. A method based on quantitative and qualitative information is proposed for the SIL (IEC 61508, 61511) verification with...
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Spleen: Consequences of Lack of Function
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The smoothness test for a density function
PublikacjaThe problem of testing hypothesis that a density function has no more than μ derivatives versus it has more than μ derivatives is considered. For a solution, the L2 norms of wavelet orthogonal projections on some orthogonal ‘‘differences’’ of spaces from a multiresolution analysis is used. For the construction of the smoothness test an asymptotic distribution of a smoothness estimator is used. To analyze that asymptotic distribution,...
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Fractional Calculus and Applied Analysis
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Progress in Fractional Differentiation and Applications
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Melatonin in the skin: synthesis, metabolism and functions
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Offsetting, relations, and blending with perturbation functions
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Macroeconomic functions of the Russian stock market
PublikacjaThe purpose of this article is to present the structure of the stock market in the Russian Federation and the significance of this part of national financial system for the whole economy, particularly the degree of main macroeconomic functions fulfillment. First part of the text includes an overview of the main theoretical concepts linked with the stock market roles as well as a brief description of results of selected studies...
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SELECTION OF DIAGNOSTIC FUNCTIONS IN A WHEELED TRACTOR
PublikacjaIn a classical approach to damage diagnosis, the technical condition of an analyzed machine is identified based on the measured symptoms, such as performance, thermal state or vibration parameters. In wheeled tractor the fundamental importance has monitoring and diagnostics during exploitation concerning technical inspection and fault element localizations. The main functions of a diagnostic system are: monitoring tractor components...
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MESOSCALE FUNCTIONS OF GPS SLANT DELAY
PublikacjaThe paper presents a computer module for GPS slant delay determination using data from COAMPS (Coupled Ocean/Atmosphere Mesoscale Prediction System) mesoscale non-hydrostatic model of the atmosphere which is run on IA64 Feniks computer cluster in the Department of Civil Engineering and Geodesy of the Military University of Technology. The slant delay is the result of integrating the ray (eikonal) equation for the spatial function...
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FDTD-Compatible Green's function based on scalar discrete Green's function and multidimensional Z-transform
PublikacjaIn this contribution, a new formulation of the discrete Green's function (DGF) is presented for the finitedifference time-domain (FDTD) grid. Recently, dyadic DGF has been derived from the impulse response of the discretized scalar wave equation (i.e., scalar DGF) with the use of the multidimensional Z-transform. Its software implementation is straightforward because only elementary functions are involved and a single function...
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Fractal and Fractional
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Prevalence of Listeria species and L. monocytogenes in ready-to-eat foods in the West Pomeranian region of Poland: Correlations between the contamination level, serogroups, ingredients, and producers
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Upgrading low value-added activities in global value chains: a functional specialisation approach
PublikacjaThis paper aims to identify patterns of functional specialisation (FS) in global value chains (GVCs) and determinants of upgrading them for selected Central Eastern European (CEE) economies. By combing the World Input-Output Database with data on occupations, we reveal a new FS pattern among subgroups of CEEs. Poland and Slovakia have an unfavourable GVC position and specialise in low value-added fabrication function. In contrast,...
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Two bacterial small heat shock proteins, IbpA and IbpB, form a functional heterodimer
PublikacjaSmall heat shock proteins (sHsps) are a conserved class of ATP-independent chaperones which in stress conditions bind to unfolded protein substrates and prevent their irreversible aggregation. Substrates trapped in sHsps-containing aggregates are efficiently refolded into native structures by ATP-dependent Hsp70 and Hsp100 chaperones. Most γ-proteobacteria possess a single sHsp (IbpA), while in a subset of Enterobacterales, as...
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New patterns in the position of CEE countries in global value chains: functional specialisation approach
PublikacjaResearch background: High servitisation of manufacturing makes it impossible to separate services from manufactured goods properly, which implies difficulties in the assessment of the position of the country on the smile curve, i.e. in the proper assignment of products or services to one of the industrial process steps: pre-production, pure fabrication or post-production services. Therefore, we propose to use the business functions...
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AQUA-DUCT 1.0: structural and functional analysis of macromolecules from an intramolecular voids perspective
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Recovery of facial expressions using functional electrical stimulation after full-face transplantation
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Spray-Dried Potato Juice as a Potential Functional Food Component with Gastrointestinal Protective Effects
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Investigation of functional layers of solid oxide fuel cell anodes for synthetic biogas reforming
PublikacjaSolid oxide fuel cells (SOFCs) are one of the most promising energy conversion devices due to their high efficiency, low pollution and fuel flexibility. Unfortunately, when hydrocarbons are used as a fuel, for example in the form of a biogas, solid carbon can deposit on the anode surface. This process leads to the degradation of the fuel cell performance. A possible solution to this problem is to apply an additional catalytic material,...
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Human Factors and Functional Safety Analysis in Designing the Control Rooms of Industrial Hazardous Plants
PublikacjaIn this work some aspects of human factors and functional safety analysis in designing the control rooms of industrial hazardous plants are presented. The “defence in depth” (D-in-D) concept is outlined. Some designing issues of the alarm system (AS) with regard to human factors to be supported using the human reliability analysis (HRA) are discussed. The AS and decision support system (DSS), when properly designed, would contribute...
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Amide/Amino-Based Functional Additives for Lubricants: Structure, Antimicrobial Activity and Wear Resistance
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Accurate, robust and harmonized implementation of morpho-functional imaging in treatment planning for personalized radiotherapy
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Functional 3D-Printed Polymeric Materials with Metallic Reinforcement for Use in Cut-Resistant Gloves
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Effect of liquid-state fermentation on the antioxidant and functional properties of raw and roasted buckwheat flours
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Neuro-Physiotherapy Regimen To Enhance The Functional Performance Of Meningitis With Ventriculitis And Hydrocephalus: Case Report
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