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Search results for: SINGULARLY PERTURBATION PROBLEMS
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Solving Boundary Value Problems for Second Order Singularly Perturbed Delay Differential Equations by ε-Approximate Fixed-Point Method
PublicationIn this paper, the boundary value problem for second order singularly perturbed delay differential equation is reduced to a fixed-point problem v = Av with a properly chosen (generally nonlinear) operator A. The unknown fixed-point v is approximated by cubic spline vh defined by its values vi = vh(ti) at grid points ti, i = 0, 1, ... ,N. The necessary for construction the cubic spline and missing the first derivatives at the boundary...
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Perturbation analysis of electric field around objects in sea water
PublicationThe paper presents an analytical approach to the perturbation analysis of electric field distribution caused by a sphere and an ellipsoid placed in a uniform electric field.
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New Method of Non-Linear Electrochemical Impedance Spectroscopy with an Amplitude-Modulated Perturbation Signal
PublicationThe paper presents a new method of non-linear electrochemical impedance spectroscopy (NLEIS), which allows fast and nondestructive evaluation of the corrosion rate and determination of the Tafel coefficients values for a corrosion system under investigation. This method employs amplitude modulation of the ac perturbation signal. The study demonstrated that it was possible to obtain impedance characteristic as a function of the...
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Physicochemical Problems of Mineral Processing
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Multi-state multi-reference Møller-Plesset second-order perturbation theory for molecular calculations
PublicationThis work presents multi‐state multi‐reference Møller–Plesset second‐order perturbation theory as a variant of multi‐reference perturbation theory to treat electron correlation in molecules. An effective Hamiltonian is constructed from the first‐order wave operator to treat several strongly interacting electronic states simultaneously. The wave operator is obtained by solving the generalized Bloch equation within the first‐order...
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Machine Design Selected Problems
e-Learning CoursesIn this course a deepened knowlege of the problems of machine design selected and pointed out by the students is presented
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Offsetting, relations, and blending with perturbation functions
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SPECTRAL RESPONSE OF STATIONARY JACK-UP PLATFORMS LOADED BY SEA WAVES AND WIND USING PERTURBATION METHOD
PublicationThe paper addresses non-linear vibrations of offshore jack-up drilling platforms loaded by sea waves and wind in their stationary condition using the perturbation method. Non-linearity of dynamic equations of motion for fixed offshore platforms yields from two factors. The first is load excitation generating non-linear velocity coupling in a dynamic system. This coupling is inherent in the modified Morison equation, involving the...
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Selected Problems of Machine Dynamics
e-Learning CoursesThe following set of lectures is performed: 1. LECTURE No.1 - INTRODUCTION TO SELECTED PROBLEMS OF MACHINE DYNAMICS. STRUCTURES and MACHINES 2. LECTURE No.2 - ENVIRONMENT, LOADS ON STRUCTURES and MACHINES 3. LECTURE No.3 - DYNAMICS of STRUCTURES and MACHINES 4. LECTURE No.4 - STRENGTH of STRUCTURES and MACHINES 5. LECTURE No.5 - SPECIAL PROBLEMS ASSOCIATED with DYNAMICS and STRENGTH of STRUCTURES and MACHINES
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Simulating coherent light propagation in a random scattering materials using the perturbation expansion
PublicationMultiple scattering of a coherent light plays important role in the optical metrology. Probably the most important phenomenon caused by multiple scattering are the speckle patterns present in every optical imaging method based on coherent or partially coherent light illumination. In many cases the speckle patterns are considered as an undesired noise. However, they were found useful in various subsurface imaging methods such as...
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SELECTED PROBLEMS OF MACHINE DYNAMICS (2024)
e-Learning CoursesThe course is devoted towards lectures assocuated with the novel issues of machine and structures dynamics. The following lectures will be given during the SPMD course: - introduction to selected problems of machine dynamics, - definition of the machine and structure working environment, - internal and external loads on machines and structures, - dynamics of machines and structures, - strength of machines and structures, - special...
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Canonical perturbation theory for inhomogeneous systems of interacting fermions
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Generalized quazilinearization for systems of degenerate singular perturbation problem
PublicationPraca dotyczy ogólnej metody kwazilinearyzacji dla układów równań różniczkowych z parametrami.
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Machine Design - selected problems (M:320384W0)
e-Learning CoursesMachine Design - selected problems is a subject in which we will deepen understanding of selected topics from FMD course
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Machine Design - selected problems (M:320384W0)
e-Learning CoursesMachine Design - selected problems is a subject in which we will deepen understanding of selected topics from FMD course
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Selected Problems of Machine Dynamics II
e-Learning CoursesThe following set of lectures is performed: 1. LECTURE No.1 - INTRODUCTION TO SELECTED PROBLEMS OF MACHINE DYNAMICS. STRUCTURES and MACHINES 2. LECTURE No.2 - ENVIRONMENT, LOADS ON STRUCTURES and MACHINES 3. LECTURE No.3 - DYNAMICS of STRUCTURES and MACHINES 4. LECTURE No.4 - STRENGTH of STRUCTURES and MACHINES 5. LECTURE No.5 - SPECIAL PROBLEMS ASSOCIATED with DYNAMICS and STRENGTH of STRUCTURES and MACHINES
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Selected Problems of Machine Dynamics - advances
e-Learning CoursesThe following set of lectures is performed: 1. LECTURE No.1 - INTRODUCTION TO SELECTED PROBLEMS OF MACHINE DYNAMICS. STRUCTURES and MACHINES 2. LECTURE No.2 - ENVIRONMENT, LOADS ON STRUCTURES and MACHINES 3. LECTURE No.3 - DYNAMICS of STRUCTURES and MACHINES 4. LECTURE No.4 - STRENGTH of STRUCTURES and MACHINES 5. LECTURE No.5 - SPECIAL PROBLEMS ASSOCIATED with DYNAMICS and STRENGTH of STRUCTURES and MACHINES
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Selected Problems of Machine Dynamics - advances
e-Learning CoursesThe following set of lectures is performed: 1. LECTURE No.1 - INTRODUCTION TO SELECTED PROBLEMS OF MACHINE DYNAMICS. STRUCTURES and MACHINES 2. LECTURE No.2 - ENVIRONMENT, LOADS ON STRUCTURES and MACHINES 3. LECTURE No.3 - DYNAMICS of STRUCTURES and MACHINES 4. LECTURE No.4 - STRENGTH of STRUCTURES and MACHINES 5. LECTURE No.5 - SPECIAL PROBLEMS ASSOCIATED with DYNAMICS and STRENGTH of STRUCTURES and MACHINES
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Optimization of impedance measurements using ‘chirp’ type perturbation signal
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Optimization of impedance measurements using ''chirp'' type perturbation signal
PublicationW pracy przedstawiono innowacyjny sposób pomiaru impedancji przy użyciu sygnału niestacjonarnego "chirp". W procesie akwizycji pobudzenia i odpowiedzi prądowej zastosowano zmienną częstotliwość próbkowania. Podejście takie pozwala zarówno na wielokrotne zmniejszenie ilości niezbędnych do otrzymania widma impedancyjnego rejestrowanych danych jak również upraszcza i przyspiesza proces obliczeniowy. Stwierdzono iż dokładność wyników...
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Rheological Problems of Technical Fabirc
PublicationW pracy przedstawiono wyniki identyfikacji modeli Chaboche'a i Schapery dla tkaniny technicznej Panama.
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Fractional problems with advanced arguments
PublicationThis paper concerns boundary fractional differential problems with advanced arguments. We investigate the existence of initial value problems when the initial point is given at the end point of an interval. Nonhomogeneous linear fractional differential equations are also studied. The existence of solutions for fractional differential equations with advanced arguments and with boundary value problems has been investigated by using...
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Problems and Solutions of Software Design in Scrum Projects
PublicationThe aim of the paper is to identify the problems and solutions of the software design in Scrum project as well as to analyze the effectiveness of the solutions. Through a series of workshops with 4 experts from IT industry and academia we have identified 52 problems and 99 unique solutions. In this paper we present a list of 10 common problems and 5 solutions for each problem selected by the number of sources. The effectiveness...
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Machine Design - selected problems
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A Survey on Identifying and Addressing Business Analysis Problems
PublicationDespite the growing body of knowledge on requirements engineering and business analysis, these areas of software project are still considered problematic. The paper focuses on problems reported by business analysts and on applicability of available business analysis techniques as solutions to such problems. A unified set of techniques was developed on the basis of 3 industrial standards associated with IIBA, REQB and IREB certification...
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An Industrial Survey on Business Analysis Problems and Solutions
PublicationThe paper focuses on the problems reported by business analysts which have a negative impact on their work and on the applicability of available business analysis (BA) techniques as solutions to such problems. A unified set of BA techniques was developed on the basis of 3 industrial standards associated with IIBA, REQB and IREB certification schemes. A group of 8 business analysts was surveyed to list problems they encounter in...
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Swarm Algorithms in Modern Engineering Optimization Problems
PublicationComplexity of today engineering problems is constantly increasing. Scientists no longer are facing issues, for which simple, mathematical programming methods are sufficient. Issues like autonomic vehicle navigation or classification are considered to be challenging, and although there exist valid means to solve them, in some cases there still is some place for improvement. With emergence of a new type of optimization techniques...
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Footbridges. Dynamic Design – Selected Problems
PublicationModern footbridges create challenge in esthetic and structural design. Breaking the proven canons is a recipe for architectural success. However esthetic form has to be also a functional pedestrian bridge. Therefore a good FEM modeling is a key element in engineering part of design. The paper presents selected problems related to the modeling of the dynamic construction of footbridges. Several basic dynamic problems concerning...
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Electromagnetic Problems Requiring High-Precision Computations
PublicationAn overview of the applications of multiple-precision arithmetic in CEM was presented in this paper for the first time. Although double-precision floating-point arithmetic is sufficient for most scientific computations, there is an expanding body of electromagnetic problems requiring multiple-precision arithmetic. Software libraries facilitating these computations were described, and investigations requiring multiple-precision...
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SCIENTIFIC PROBLEMS OF MACHINES OPERATION AND MAINTENANCE
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Perturbation of cellular functions by topoisomerase II inhibitors: all roads lead to cell death?
PublicationPraca przeglądowa opisuje jakie funkcje mogą ulec zahamowaniu/zmianie pod wpływem działania inhibitorów topoizomerazy typu II w komórkach nowotworowych. W szczególności dyskutujemy jakie zmiany w szlakach sygnalizacji wewnątrzkomórkowej mogą prowadzić do zahamowania wzrostu oraz indukcji różnych rodzajów śmierci komórkowej i czy rodzaj śmierci komórkowej może decydować o skuteczności leków przeciwnowotoworowych, które hamują aktywność...
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Electrochemical sensor for measurement of volatile organic compounds employing square wave perturbation voltage
PublicationThe paper presents the results of investigation on a prototype sensor for measurement of benzaldehyde in air. Sensitivity and limit of quantification of the sensor were determined for different internal electrolyte using the square wave voltammetry (SWV) as a detection technique. The working and counter electrodes were made of platinum. Ionic liquids 1-hexyl, 3-methylimidazolium chloride,1-hexyl, 3-methylimidazolium bis (trifluoromethanesulfonyl)...
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MACHINE DYNAMICS PROBLEMS
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MATHEMATICAL PROBLEMS IN ENGINEERING
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Transport Problems
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Chemical Problems
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INVERSE PROBLEMS
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SOCIAL PROBLEMS
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Selected Stability Problems of Thin-Walled Columns and Beams
PublicationThe article reviews a number of papers in the light of buckling analy- sis of thin-walled columns and beams. Stability of thin-walled columns and beams are considered a vital engineering science issue in both historical and present-day approaches. The paper refers to the recent authors’ works of the 2012–2019 period, published in leading journals. Similar review of stability problems of thin-walled structures developed at Gdansk...
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SOME PROBLEMS OF SUPPORTING OFFSHORE WIND TURBINES
PublicationBasic problems of foundations of sea wind turbines are considered in this paper. This aims to search for solutions to optimize supporting of the offshore turbines with a size greater than 10 MW. The types of foundations, their basic features, including most important dimensions, applications as well as general design considerations are discussed. Numerical model of the offshore turbine and some preliminary computations for a case...
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Problems of Active Dynamic Thermography Measurement Standardization in Medicine
PublicationReliability of thermographic diagnostics in medicine is an important practical problem. In the field of static thermography, a great deal of effort has been made to define the conditions for thermographic measurements, which is now the golden standard for such research. In recent years, there are more and more reports on dynamic tests with external stimulation, such as Active Dynamic Thermography, Thermographic Signal Reconstruction...
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Numerical solution of threshold problems in epidemics and population dynamics
PublicationA new algorithm is proposed for the numerical solution of threshold problems in epidemics and population dynamics. These problems are modeled by the delay-differential equations, where the delay function is unknown and has to be determined from the threshold conditions. The new algorithm is based on embedded pair of continuous Runge–Kutta method of order p = 4 and discrete Runge–Kutta method of order q = 3 which is used for the...
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The Analysis and Solutions to the Problems of IPv6 Configuration Migration of Small Networks
PublicationThe paper analyzes the problems of IPv4 to IPv6 migration processes and indicates the areas in which migration can be done without expensive replacement of hardware, software and organizational changes. This paper presents the migration tools developed for the SOHO network administrators. The tools provide theoretical knowledge and practical advices on migrating to IPv6 and enable automation of the migration process. The article...
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Problems of construction projects regarding historic road bridges
PublicationThe paper describe the comparison of different approaches to reconstruction and the problems in the selection of implementation for a historic bridge over the Vistula River in Tczew. A compromise reconstruction is shown, taking technical, historical and aesthetic aspects into account, as well as needs of the local community.
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Problems of Connecting Wind Farms to the Power System with HV Cables
PublicationThis paper presents problems caused by connecting wind farms to a power system with high voltage cables. The author highlights possible problems with reactive power compensation, depending on the arrangement of the shunt reactor connection and settings of control systems for reactive power and voltage of the wind farm. The paper also discusses issues of increasing active power losses caused by a shunt reactor installation.
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Linear revitalization - problems and challenges. Discursive article
PublicationThe aim of the article, defined by the author as discursive, is to give the answer as to whether within ‘revitalization’ we should distinguish the notion of ‘linear revitalization’ – not yet defined in Polish and English-language literature. The author presents the thesis that we should do so by presenting the idea, its specific character and its role. This kind of action seems to have, in the author’s opinion, a positive influence...
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Bayesian Optimization for solving high-frequency passive component design problems
PublicationIn this paper, the performance of the Bayesian Optimization (BO) technique applied to various problems of microwave engineering is studied. Bayesian optimization is a novel, non-deterministic, global optimization scheme that uses machine learning to solve complex optimization problems. However, each new optimization scheme needs to be evaluated to find its best application niche, as there is no universal technique that suits all...
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Analytics of Surfactants in the Environment: Problems and Challenges
PublicationSurfactants (surface active agents = SAAs) are a group of compoundswith specific physicochemical properties (amphiphilicity,solubility in polar and nonpolar liquids, ability to form micelles,adsorption at phase boundaries).1,2 Because of their properties,surface-active compounds are widely applied in industry and thehousehold (e.g., in detergents, personal-care products, paints,pesticides, petroleum products). As their applications...
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Supervised Classification Problems–Taxonomy of Dimensions and Notation for Problems Identification
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Selected problems of heat and mass transfer
e-Learning Courses