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Search results for: MORISON EQUATION
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Monotone method for second-order delayed differential equations with boundary value conditions.
PublicationIstnienie rozwiązań problemów brzegowych dla równań różniczkowych drugiego rzędu z opóźnionymi argumentami jest dyskutowane w tej pracy. Nierówności różniczkowe rzędu drugiego z odchylonymi argumentami są również przedmiotem badań. Uzyskane wyniki otrzymano stosując technikę iteracji monotonicznych przy założeniu, że prawa strona zagadnienia spełnia jednostronny warunek Lipschitza. Sformułowano też twierdzenia o istnieniu rozwiązań...
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Multiple Solutions to Third-Order Differential Equations with Derivative Dependence and Deviating Arguments
PublicationIn this paper, we give some new results for multiplicity of positive (nonnegative) solutions for third-order differential equations with derivative dependence, deviating arguments and Stieltjes integral boundary conditions. We discuss our problem with advanced argument α and arbitrary β ∈ C([0,1],[0,1]), see problem (2). It means that argument β can change the character on [0,1], so β can be delayed in some set J ⊂ [0,1] and advanced...
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Linear Time-Varying Dynamic-Algebraic Equations of Index One on Time Scales
PublicationIn this paper, we introduce a class of linear time-varying dynamic-algebraic equations (LTVDAE) of tractability index one on ar- bitrary time scales. We propose a procedure for the decoupling of the considered class LTVDAE. Explicit formulae are written down both for transfer operator and the obtained decoupled system. A projector ap- proach is used to prove the main statement of the paper and sufficient conditions of decoupling...
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Systems, environments, and soliton rate equations: A non-Kolmogorovian framework for population dynamics
PublicationSoliton rate equations are based on non-Kolmogorovian models of probability and naturally include autocatalytic processes. The formalism is not widely known but has great unexplored potential for applications to systems interacting with environments. Beginning with links of contextuality to non- Kolmogorovity we introduce the general formalism of soliton rate equations and work out explicit examples of subsystems interacting with...
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Numerical methods for nonlinear first-order partial differential equations with deviated variables
PublicationKlasyczne rozwiązania zagadnień początkowych dla nieliniowych równań cząstkowych z odchylonym argumentem aproksymowano za pomocą rozwiązań układów quasiliniowych równań różnicowych określonych na piramidzie Haara. Podano warunek dostateczny zbieżności metody. Stabilność schematu różnicowego wykazano metodą porównawczą. Przedstawiono metodę rozwiązywania nieliniowych równań różniczkowych cząstkowych z odchylonym argumentem bazującą...
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Space-Time Conservation Method applied to numerical solution of water hammer equations
PublicationArtykuł poświęcony jest metodzie czasoprzestrzennych objętości skończonych (STC) zastosowanej do przypadku uderzenia hydraulicznego w stalowym przewodzie pracującym pod ciśnieniem. Metoda STC ze względu na swoje własności numeryczne - m.in. wysoką dokładność - może być interesującą alternatywą dla tradycyjnych metod numerycznych, szczególnie w przypadku, gdy efekty numeryczne mają bardzo silny wpływ na rozwiązanie, tym samym utrudniając...
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Solving boundary value problems for delay differential equations by a fixed-point method
PublicationOgólne liniowe zagadnienie brzegowe dla nieliniowego układu równań różniczkowych z opóźnieniem jest redukowane do zagadnienia o punkcie stałym odpowiedniego operatora a następnie poszukiwany punkt stały tego operatora jest przybliżany funkcją kawałkami liniową zdefiniowaną poprzez jej wartości w węzłach. Przy odpowiednich założeniach istnienie tego punktu stałego jest równoważne istnieniu tzw. epsilon przybliżonych punktów stałych...
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Positive solutions to boundary value problems for impulsive second-order differential equations
PublicationIn this paper, we discuss four-point boundary value problems for impulsive second-order differential equations. We apply the Krasnoselskii's fixed point theorem to obtain sufficient conditions under which the impulsive second-order differential equations have positive solutions. An example is added to illustrate theoretical results.
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Application of Pierson-Moskowitz wave spectrum to solution differential equations of multihull vessel
PublicationMotion of a dynamic system can be generated by different external or internal factors. At mathematical modelling external excitation factors of the most significant effect on the system, are selected. Such external factors are usually called excitations. Response of the system to given excitations is mathematically characterized by a definite transformation called operator of a system. For a broad class of dynamic systems the...
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Almost homoclinic solutions for a certain class of mixed type functional differential equations
PublicationW 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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Convergence of Monte Carlo algorithm for solving integral equations in light scattering simulations
PublicationThe light scattering process can be modeled mathematically using the Fredholm integral equation. This equation is usually solved after its discretization and transformation into the system of algebraic equations. Volume integral equations can be also solved without discretization using the Monte Carlo (MC) algorithm, but its application to the light scattering simulations has not been sufficiently studied. Here we present implementation...
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Multimodal Genetic Algorithm with Phase Analysis to Solve Complex Equations of Electromagnetic Analysis
PublicationIn this contribution, a new genetic-algorithm-based method of finding roots and poles of a complex function of a complex variable is presented. The algorithm employs the phase analysis of the function to explore the complex plane with the use of the genetic algorithm. Hence, the candidate regions of root and pole occurrences are selected and verified with the use of discrete Cauchy's argument principle. The algorithm is evaluated...
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Physics-guided neural networks (PGNNs) to solve differential equations for spatial analysis
PublicationNumerous examples of physically unjustified neural networks, despite satisfactory performance, generate contradictions with logic and lead to many inaccuracies in the final applications. One of the methods to justify the typical black-box model already at the training stage and lead to many inaccuracies in the final applications. One of the methods to justify the typical black-box model already at the training stage involves extending...
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Three dimensional fluid equations from distribution function with discontinuity in velocity space
PublicationUkład równań typu hydrodynamicznego dla rozwarstwionego gazu w polu grawitacyjnym jest wyprowadzony z równania BKG przy użyciu metody kawałków ciągłej funkcji dystrybucji. Otrzymany układ równań uogólnia układ Naviera-Stokesa dla dowolnych liczb Knudsena.
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A Study of the Roll Motion by Means of a Free Decay Test
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Motion stability during optimal control of the mobile platform
PublicationPraca przedstawia metodę badania stabilności robotów mobilnych podczas sterowania optymalnego na przykładzie 3-kołowej platformy mobilnej. Robot posiada więzy nieholonomiczne. Model matematyczny 3-kołowej platformy mobilnej opisuje skończona liczba nieliniowych równań różniczkowych. Stąd, prognozowanie stabilności ruchu takiego obiektu wymaga zastosowania efektywnych algorytmów.
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Dynamic risk assessment in autonomous vehicles motion planning
PublicationArguing that an autonomous mobile system is sufficiently safe to operate in presence of other vehicles and objects is an important element in development of such systems. Traditional approach to assure safety is to distinguish between safe and unsafe area and prevent the autonomous vehicle from entering the unsafe area. The paper presents a model of autonomous vehicle control system which uses risk assessment...
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Terrestrial water storage variations and their effect on polar motion
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Synthesis of irregular motion mechanisms for production machine drives
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Investigation of motion of the lifeboat lowered from ship's deck
PublicationW pracy przedstawiono model obliczeniowy oraz różniczkowe równania ruchu łodzi ratowniczej, opuszczanej z pokładu statku kołyszącego się na fali. Równania całkowano numerycznie. Opracowany na ich podstawie program komputerowy umożliwia wyznaczanie trajektorii oraz innych parametrów ruchu opusz¬czanej łodzi w funkcji czasu, dla różnych zadanych kołysań statku, a także obliczenie sił działających na łódź oraz znajdujących się...
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Decomposition of the wall force acting on the single bubble motion.
PublicationW referacie skupiono uwagę na rozkładzie siły hydrodynamicznej działającej na kulę (uproszczony model pęcherzyka) na kierunku prostopadłym do ścianki kanału. Pokazano stanowisko badawcze, omówiono procedurę pomiarową oraz zamiszczono przykładowe wyniki badań eksperymentalnych i modelowania matematycznego.
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Modelling of Vertical Wall Influence on the Single Bubble Motion
PublicationW referacie pokazano rezultaty badań eksperymentalnych i modelowania matematycznego siły odpychającej, działającej na model pęcherzyka przepływający wzdłuż ściany pionowej. Zaobserwowano okresowy charakter siły oraz stwierdzono, że zależy ona od liczby Reynoldsa. Porównanie obliczonych i zmierzonych wartości siły wykazało satysfakcjonującą zgodność.
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Prediction of the motion stability of three-wheel mobile robot
PublicationW pracy rozważa się projektowanie i realizację trajektorii ruchu 3-kołowego robota mobilnego, z uwzględnieniem jego kinematyki i dynamiki. Kołowe roboty mobilne zaliczane są do układów nieholonomicznych, w przypadku których przyjęte ograniczenia (więzy) dotyczą chwilowych prędkości punktów charakterystycznych układu. Model matematyczny obiektu przedstawiono w postaci skończonej liczby nieliniowych równań różniczkowych kinematyki...
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Modelling of vertical wall influence on the single bubble motion.
PublicationW referacie zaprezentowano rezultaty badań eksperymentalnych i modelowania matematycznego siły odpychającej, działającej na model pęcherzyka przepływający wzdłuż ściany pionowej. Zaobserwowano okresowy charakter tej siły oraz stwierdzono, że zależy ona od liczby Reynoldsa. Porównanie obliczonych i zmierzonych wartości siły wykazało satysfakcjonującą zgodność.
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Analysis of Impulse Responses Measured in Motion in a Towing Tank
PublicationThe growing interest in developing autonomous underwater vehicles (AUVs) and creating underwater sensor networks (USNs) has led to a need for communication tools in underwater environments. For obvious reasons, wireless means of communication are the most desirable. However, conducting research in real conditions is troublesome and costly. Moreover, as hydroacoustic propagation conditions change very significantly, even during...
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Vocalic Segments Classification Assisted by Mouth Motion Capture
PublicationVisual features convey important information for automatic speech recognition (ASR), especially in noisy environment. The purpose of this study is to evaluate to what extent visual data (i.e. lip reading) can enhance recognition accuracy in the multi-modal approach. For that purpose motion capture markers were placed on speakers' faces to obtain lips tracking data during speaking. Different parameterizations strategies were tested...
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Synchro-photogrammetry in the measurement of objects in motion - the case study
PublicationSynchronous photographs and digital photogrammetry methods in a measurement of objects in motion - the experiment. In the following paper, a case study example of a photogrammetric method based on synchronous digital photographs has been presented. This measurement method is an effective solution for tracking of moving objects, dynamic studies and dimensioning of geometry movements. Nowadays, the use of synchronous photography...
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Deformable model of a butterfly in motion on the example of Attacus atlas
PublicationInsect wings can undergo significant chordwise (camber) as well as spanwise (twist) deformation during flapping flight but the effect of these deformations is not well understood. The shape and size of butterfly wings leads to particularly large wing deformations, making them an ideal test case for investigation of these effects. High-speed videogrammetry was used to capture the wing kinematics and deformations. The movements of...
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Analysis of Impulse Responses Measured in Motion in a Towing Tank
PublicationThe growing interest in developing autonomous underwater vehicles (AUVs) and creating underwater sensor networks (USNs) has led to a need for communication tools in underwater environments. For obvious reasons, wireless means of communication are the most desirable. However, conducting research in real conditions is troublesome and costly. Moreover, as hydroacoustic propagation conditions change very significantly, even during...
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NEW DESIGNS OF MAGNETIC FLUID SEALS FOR RECIPROCATING MOTION
PublicationT he operating conditions of magnetic fluid seals during reciprocating motion are so different from those observed in rotating motion that the use of their conventional structures for reciprocating motion seals yields no good results. The analysis of the sealing mechanism of magnetic fluid seals in reciprocating motion shows that the operation of these seals is affected by the carry-over phenomenon and magnetic fluid...
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Existence and uniqueness of monotone and bounded solutions for a finite-difference discretization a` la Mickens of the generalized Burgers–Huxley equation.
PublicationDeparting from a generalized Burgers–Huxley partial differential equation, we provide a Mickens-type, nonlinear, finite-difference discretization of this model. The continuous system is a nonlinear regime for which the existence of travelling-wave solutions has been established previously in the literature. We prove that the method proposed also preserves many of the relevant characteristics of these solutions, such as the positivity,...
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Improved model of isothermal and incompressible fluid flow in pipelines versus the Darcy–Weisbach equation and the issue of friction factor
PublicationIn this article, we consider the modelling of stationary incompressible and isothermal one-dimensional fluid flow through a long pipeline. The approximation of the average pressure in the developed model by the arithmetic mean of inlet and outlet pressures leads to the known empirical Darcy–Weisbach equation. Most importantly, we also present another improved approach that is more accurate because the average pressure is estimated...
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Use of structural equation modeling in quantitative research in the field of management and economics: A bibliometric analysis in the systematic literature review
PublicationPURPOSE: This paper aims to provide a comprehensive review of scholarly research focusing on using quantitative methods and particularly structural equation modeling (SEM) in management and economics studies, as well as provide a bibliometric agenda including the time horizon of individual publications, the highest citation rate, geographic and industry areas, methodological context, and keywords. METHODOLOGY: A systematic literature...
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Modern Education and Knowledge Transfer Issues in Global Economy
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Some aspects of mathematical education at Gdansk University of Technology
PublicationReferat omawia wybrane zagadnienia związane z poszukiwaniem i stosowaniem nowych rozwiązań - zarówno programowych jak i organizacyjnych - w realizacji procesu kształcenia matematycznego na poziomie akademickim w Politechnice Gdańskiej.
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<title>Automatic measurement system for astronomical education</title>
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Research - based technology education – the EDURES partnership experience
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Internet technology in education - offer of Gdansk University of Technology.
PublicationW artykule przedstawiono ofertę szkoleń Centrum Edukacji Niestacjonarnej Politechniki Gdańskiej oraz możliwości jej wykorzystania na Wydziale Inżynierii Lądowej w studiach doktoranckich i podyplomowych, które zostaną uruchomione w ramach V Programu Ramowego Unii Europejskiej, Centra Doskonałości (projekt CURE - Centre for Urban Construction and Rehabilitation: Technology Transfer, Research and Education). Zaprezentowano model nauczania...
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Virtual hearing aid - the computer application for education purposes.
PublicationZrealizowano aplikację komputerową demonstrującą zasady działania aparatów słuchowych. Osoba z dobrym słuchem ma możliwość zapoznania się z problemem niedosłuchu i działaniem aparatu. Aplikacja wyposażona jest w intuicyjny interfejs, który przedstawia elementy aparatu słuchowego na schemacie blokowym z opcjami dotyczącymi źródła dźwięku, typu szumu oraz ustawień aparatu. Aplikacja wzbogacona jest o materiały dydaktyczne, opisujące...
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Experiential methods in ethical education of nursing and midwifery students
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Gender, education and motivation of onwers of small firms and their growth
PublicationAlmost every article on the growht of SMEs begins with noting the lack of a unified theory or a model of growth in thei group of companies, although the growth of small and medium sized enterprises has been the subject of research for many years and early theories about it appeared already before the Second World War. In the paper some conlusions about the relation between gender, education and motivation of owner and the small...
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Ideas of the New European Bauhaus (NEB) in architectural education
PublicationThe New European Bauhaus (NEB) is an interdisciplinary project initiated by the European Commission in 2020 [1], based on three values: sustainability, beauty and community (social inclusion). Its aim is to support the European Green Deal programme [2] by accelerating the transformation of various economic sectors, including construction, to improve the quality of people’s lives and protect the natural environment. Even though...
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Getting to know the potential of social media in forest education
PublicationThe development of social network sites not only facilitates the acquisition and deepening of knowledge but also provides the possibility of easily contacting foresters, specialists in natural sciences and nature enthusiasts. In addition, for some years...
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The Efficiency of Public and Private Higher Education Institutions in Poland
PublicationChanges introduced to Poland’s education system in 2011 and 2014 amid efforts to adjust it to the needs of the labour market had an effect on the country’s institutions of higher learning. This paper provides an analysis of the efficiency of public and private Polish universities and examines the impact of selected factors in the years that followed. To estimate this efficiency, a Banker, Charnes and Cooper (BCC) model of the...
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Education at the Faculty of Mechanical Engineering of the Gdańsk University of Technology
PublicationFaculty of Mechanical Engineering is one of the largest departments of the Gdańsk University of Technology (GUT), currently educating about 3 000 student. Lectures are conducted in five Chairs, which include 18 Divisions. In 2000 GUT introduced the European Credit Transfer and Accumulation System (ECTS). Each student should get during one academic year 60 ECTS points. Obtaining a diploma of BEng requires the acquisition of no less...
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Education at the Faculty of Mechanical Engineering of the Gdańsk University of Technology
PublicationFaculty of Mechanical Engineering is one of the largest departments of the Gdańsk University of Technology (GUT), currently educating about 3 000 student. Lectures are conducted in five Chairs, which include 18 Divisions. In 2000 GUT introduced the European Credit Transfer and Accumulation System (ECTS). Each student should get during one academic year 60 ECTS points. Obtaining a diploma of BEng requires the acquisition of no less...
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Project- and service oriented thinking in engineering management education
Publication.
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Acoustics - new services for urban planning, research and education
PublicationThe main purpose of the presented design is twofold, namely: providing detailed information about the noise threats that occur every day in city areas and preventing the noise induced hearing loss especially among young people. An experimental system designed for the continuous monitoring of the acoustic climate of urban areas was developed and implemented within the PLGrid Plus project. The assessment of environmental threats...
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mechanical engineering education via projects in multibody dynamics
PublicationPraca prezentuje rozważania nad wykorzystaniem interdyscyplinarnych projektów bazujących na zasadach dynamiki układów wieloczłonowych, traktowanych tu jako rozwinięcie kursu klasycznej mechaniki. Celem dydaktycznym jest zebranie w jednym procesie dydaktycznym takich aspektów jak: możliwość wykorzystania poznanych teoretycznie równań do modelowania i analizy znanego mu obiektu rzeczywistego; umożliwienie formułowania i testowania...
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Intelligent multimedia solutions supporting special education needs.
PublicationThe role of computers in school education is briefly discussed. Multimodal interfaces development history is shortly reviewed. Examples of applications of multimodal interfaces for learners with special educational needs are presented, including interactive electronic whiteboard based on video image analysis, application for controlling computers with facial expression and speech stretching audio interface representing audio modality....