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Search results for: morison equation
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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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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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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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Multiple bifurcation in the solution set of the von Karman equations with S^{1}-symmetries
PublicationRozważmy cienką, sprężystą, kołową płytę, położoną na sprężystym podłożu, poddawaną działaniu sił ściskających koncentrycznie wzdłuż jej brzegu. Formy równowagi takiej płyty są rozwiązaniami równań von Karmana z dwoma parametrami określonych na dysku w R^{2}. Są to równania różniczkowe cząstkowe rzędu czwartego. Można je zapisać jako równanie operatorowe F(x,p)=0 w przestrzeniach Höldera, gdzie zmienna x odpowiada formom równowagi...
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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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Kinetics of aquation of Ni(II) oxydiacetate complex induced by Fe(III) ions
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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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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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Numerical method of lines for first order partial differential equations with deviated variables
PublicationPraca traktuje o przybliżaniu rozwiązań klasycznych równańróżniczkowo-funkcyjnych cząstkowych pierwszego rzędu rozwiązaniamiukładów quasiliniowych równań różnicowych. Nowe podejście dorozwiązywania równań nieliniowych zawdzięczamy metodziequasilinearyzacji dla zagadnień początkowo - brzegowych z odchylonymargumentem. Dla przyrostów pochodnych funkcji danej zakładamy nieliniowe oszacowanie typu Perrona. Załączone są wyniki eksperymentów...
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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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Stability analysis of two-step Runge-Kutta methods for delay differential equations
PublicationW pracy badana jest własność stabilności dwukrokowej metody Rungego-Kutty względem liniowego równania testowego o zespolonych współczynnikach. Udowodniono, że jeśli pewne warunki są spełnione to każda A-stabilna dwukrokowa metoda Rungego-Kutty zastosowana do równania różniczkowego z opóźnieniem jest P-stabilna.
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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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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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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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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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A Study of the Roll Motion by Means of a Free Decay Test
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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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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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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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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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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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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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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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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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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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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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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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Theory vs. practice. Searching for a path of practical education
PublicationThe introduction of a three-tier model of higher education (the Bologna model) has led to considerable changes in the 1st- and 2nd-tier technical courses at universities. At present, a student with a bachelor’s degree can be employed in his / her profession after completing only 7 semesters of study. A search is under way for methods of combining theoretical knowledge taught at universities with practical knowledge gained afterwards....
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In search for new urban planning education and research formulas
PublicationThis paper shows research and educational urban planning projects based on international and mutlicultural cooperation including innovative elements to conduct research on built environment. Their common aim is to search for a new perspective on the city development and challenges resulting from changing conditions.
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CSR education in Poland- current situation and future challenges
PublicationThe importance of corporate social responsibility (CSR) in nowadays business reality is constantly growing thanks to many factors, including the important promotional effort at all possible authorities levels and increasing educational effort of universities and in particular of business schools. Since there is no commonly accepted guideline/curriculum/content of social responsibility (SR) education, business schools at higher...
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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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Project- and service oriented thinking in engineering management education
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Modern Education and Knowledge Transfer Issues in Global Economy
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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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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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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....
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Education Towards The Use Of BIM On The Example Of Polish Universities
PublicationBIM (Building Information Modeling) has been one of the rapidly developing fields of digital techniques supporting the realization of construction projects in recent years. Further development, and especially the use of these techniques, depends to a large extent on the qualifications of young construction engineers who start their professional careers in this field. The article attempts to synthetically list and compare subjects,...
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QUALITY GAPS IN HIGHER EDUCATION FROM THE PERSPECTIVE OF STUDENTS
PublicationThe presented research work relates to the category of quality in higher education. This article aims to present the determinants of the quality of education in the context of international standards. The background of the considerations is the Bologna Declaration and the European Higher Education Area. The results of the research carried out with the use of the nominal group method and the data analysis carried out based on the...
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DWDM Network Laboratory Solution for Telecommunication Education Engineering
PublicationDevelopment of network architectures in the field of optical telecommunications technologies is an indicator of changes in telecommunication education engineering. Conducting didactic classes requires hardware infrastructure and research in terms of teaching needs. In the paper we present DWDM network laboratory solution for telecommunication education engineering on the basis of the ADVA Optical Networking equipment. We have to...
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Research - based technology education – the EDURES partnership experience
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Experiential methods in ethical education of nursing and midwifery students
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