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Search results for: MATHEMATICAL MORPHOLOGY
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A dressing method in mathematical physics
PublicationMetodę ubierania stosuje się do równań nieliniowych całkowalnych i w teorii potencjałów całkowalnych mechaniki kwantowej.
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Mathematical model of pennate muscle
PublicationThe purpose of this study is to create a new mathematical model of pennate striated skeletal muscle. This new model describes behaviour of isolated flat pennate muscle in two dimensions (2D) by taking into account that rheological properties of muscle fibres depend on their planar arrangement. A new mathematical model is implemented in two types: 1) numerical model of unipennate muscle (unipennate model); 2) numerical model of...
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Mathematical Approach to Assess a Human Gait
PublicationA purpose of the paper was to create a mathematical approach to assess a human gait. The scope of the study was to model a normal gait in the sagittal plane and frontal plane of the body. Applying the Newton-Euler formulation, three multibody biomechanical models were derived to describe single support phase and double support phase of the gait. To model a gait in the sagittal plane the open-close sagittal 6DOF model and the open-close...
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Local properties of the solution set of the operator equation in Banach spaces in a neighbourhood of a bifurcation point.
PublicationW niniejszej pracy badamy problem istnienia bifurkacji w zbiorze rozwiązań równania F(x,p)=0, gdzie F jest odwzorowaniem klasy C^2z iloczynu kartezjańskiego X i R^k do Y, X i Y są przestrzeniami Banacha takimi, że X jest podprzestrzenią liniową Y. Co więcej, dany jest iloczyn skalarny w Y, ciągły względem norm w X i Y. Pokazujemy, że pod pewnymi warunkami (0,p) jest punktem bifurkacji i opisujemyzbiór rozwiązań równania F(x,p)=0...
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Morphology and degradation of polyurehanes in different environments.
PublicationW pracy przedstawiono wyniki badań degradacji poli(estro-uretanów) (PEsUA i PEsUB) oraz poli(etero-uretano-mocznika)(PEtUU) w roztworach buforowych o zmiennym pH (168 godz., 70 oC), w środowisku trypsyny (37 oC, 1 m-c), Aspergillys niger (12 m-cy), kompoście z osadem czynnym (12 m-cy) i w wodzie morskiej (12 m-cy). Analizowano zmiany w morfologii i właściwościach fizykomechanicznych. Ustalono następujące sekwencje w zmianach zależności...
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Duhem and Natanson: Two Mathematical Approaches to Thermodynamics
PublicationIn this article, the previously unrecognized contributions of Pierre Duhem and Ladislavus Natanson in thermodynamics are shown. The mathematical remodelling of a few of their principal ideas is taken into consideration, despite being neglected in the literature. To emphasize these ideas in an appropriate epistemological order, it would be crucial to first revalue and reconstruct some underrepresented parts of the proceedings process...
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Mathematical Modelling in Diagnosis of Wastewater Treatment Plant
PublicationThe paper reports development of mathematical modeling in diagnosis of the WWTP. The algorithm is based on a comparition of data from the mathematical modeling and measurments of real datefrom WWTP, until it will detect any malfunction of the sensors in th case of study.
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Mathematical modelling: Lessons from composite indicators
PublicationWe discuss here composite indicators as mathematical models, which can be looked at through the lenses of the five rules discussed in this volume. Composite indicators sit between analysis and advocacy, and their use has social and political implications. For this reason, the lenses of the manifesto can be used to build them better, to make them more transparent, as well as to inspect incumbent indicators for methodological or...
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The Influence of PEG on Morphology of Polyurethane Tissue Scaffold
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Study of the atomic structure and morphology of the Pt3Co nanocatalyst
PublicationThe local structure and chemical disorder of a commercially available Pt3Co nanocatalyst supported on high surface area carbon were investigated. High-quality XAFS spectra were collected at the ELETTRA synchrotron XAFS 11.1 beamline. XAFS spectra analysis have been performed accounting for the reduction of the coordination number and degeneracy of three-body configurations, resulting from transmission electron microscopy (TEM)...
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Morphology of polyurethanes revisited by complementary AFM and TEM
PublicationPrzedmiotem badań mikroskopowych TEM i AFM były lane segmentowe poliuretany o zawartości 30 i 50% segmentu sztywnego. Stwierdzono obecność sferolitów (poziom mikrometrów), fibryl i globul. Ponadto zastosowanie AFM pozwoliło na zbadanie nanomorfologii badanych poliuretanów. Zaobserwowano krótkie, cylindropodobne domeny segmentów sztywnych rozproszone w matrycy segmentów giętkich.
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Layered Morphology of Gdansk: Past, Present and Future.
PublicationThis study aims to analyze the urban fabric and form of the city of Gdańsk based on the Muratorian and Italian school of urban morphology, to deepen the understanding of the morphological process of the urban fabric. It can be seen that the urban fabric of the city is a juxtaposition of all these layers, and based on Muratori’s approach these are indicative of not just the past, present but also the future. The study sample is...
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The Influence of PEG on Morphology of Polyurethane Tissue Scaffold
PublicationIn this study, polyurethanes (PU) were synthesized from oligomeric dihydroxy(etylene-butylene adipate), poly(ethylene glycol) (PEG), hexamethylene diisocyanate (HDI), 1,4-butanediol (BDO) as chain extender and stannous octoate as catalyst. PEG due to its hydrophilic character influences physical and chemical properties of PU. For testing were used PU having the following weigh contents of PEG: 0%, 7%, and 14%. Porous scaffolds...
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Mathematical Description of Sorption Isotherms of Autoclaved Aerated Concrete
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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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Mathematical Modelling and Computer Simulation of Activated Sludge Systems
PublicationPrzegląd systemów osadu czynnego. Rozwój modeli procesu osadu czynnego. Podstawowe definicje z zakresu modelowania matematycznego i symulacji komputerowej. Proces budowy modelu (model biokinetyczny, hydrodynamiczny, transferu tlenu, temperatury). Modelowanie procesów biochemicznych zachodzących w systemach osadu czynnego. Organizacja badań symulacyjnych. Praktyczne zastosowania modeli osadu czynnego.
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Mathematical description and evaluation of cavitation erosion resistance of materials.
PublicationPrzedstawiono matematyczny opis erozji kawitacyjnej materiałów. Model opisuje wpływ własności mechanicznych materiału takich jak: względna odporność na plastyczne odkształcanie powierzchni a także współczynnika intensywności naprężeń wzmocnionej warstwy wierzchniej na przebieg erozji kawitacyjnej. Zaproponowano również nowy współczynnik opisujący ilościowo odporność kawitacyjną materiałów jako funkcję czasu inkubacji maksymalnej...
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Mathematical description and evaluation of cavitation erosion resistance of materials.
PublicationW pracy przedstawiono matematyczny model opisujący erozję kawitacyjną materiałów oparty o rozkład prawdopodobieństwa Weibulla. Model oposuje wpływ własności mechanicznych materiału na przebieg krzywych erozji kawitacyjnej.
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Identification of ship’s hull mathematical model with numerical methods
PublicationThe modern maritime industry is moving toward the development of technology that will allow for full or partial autonomy of ship operation. This innovation places high demands on ship performance prediction techniques at the design stage. The researchwork presented in the article is related to the design stage of the ship and concerns methods for prognosis and evaluation of the specific operational condition of the ship, namely...
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Mathematical models of process quality on the example of the bakery industry
PublicationThis article presents a new approach to quantitative dimensionless assessment of the efficiency and competitiveness of production processes. New concepts of process quality and relative product quality have been introduced. Process quality was expressed in vector and scalar. The process quality vector ono was expressed by the product of reliability by the vector from the sum of three components taking into account the composition...
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Mathematical model and numerical calculations of the pelagic trawl system
PublicationW pracy przedstawiono matematyczny model ruchu środka ciężkości zestawu do trałowania pelagicznego wraz z wyznaczaniem jego parametrów geometrycznych. Pokazano także sposób rozwiązania i przykładowe wyniki obliczeń numerycznych. Opracowany program komputerowy może być wykorzystywany do wyznaczania optymalnych parametrów pracy dla zapewnienia bezpiecznych, efektywnych i ekologicznych połowów pelagicznych
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Application of wave spectra to mathematical model of multihull vessel
PublicationDynamiczne układy mechaniczne reprezentujące obiekty pływające są ściśle związane z procesami stochastycznymi. Zmienne stanu i parametry wejścia w tych modelach mają charakter probabilistyczny. Modele matematyczne takich układów są reprezentowane przez układy stochastycznych równań różniczkowych tworząc układy równań ''Ito''. W artykule zostały wyznaczone współczynniki transmitancji dla wybranych trzech widm falowania: Kongresu...
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Determination of Mathematical Model Parameters of a Medium Frequency Transformer
PublicationThe paper presents the results of experimental studies of the medium frequency transformer. The object of the research was a prototype of a single-phase transformer with a core made of ferrite I-core elements and windings made of Litz conductors. The research was carried out to determine the parameters of the transformer's mathematical model. The scope of the tests included determining the magnetic hysteresis loop and measuring...
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Mathematical Models in Design Process of Ship Bow Thrusters
PublicationThe paper describes an application of simulation models for computer-aided design of ship bow thrusters. Generation of simulation models of ship bow thruster requires development and verifying of mathematical models of system component elements. Using the results of simulation the expert system is able to determine, that the rules of classification societies are met. Design procedures and mathematical models are part of an expert...
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Mathematical Models in Design Process of Ship Bow Thrusters
PublicationThe presentation is about an application of simulation models for computer-aided design of ship bow thrusters. Generation of simulation models of ship bow thruster requires development and verifying of mathematical models of system component elements. Using the results of simulation the expert system is able to determine, that the rules of classification societies are met. Design procedures and mathematical models are part of an...
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The morphology and mechanical properties of recyclated polyethylene/polyamide laminate
PublicationZbadano wpływ kompatybilizatorów na morfologię i właściwości mechaniczne mieszanin PE/PA. Okreslono właściwości recyklatu uzyskanego z odpadów barierowej folii wielowarstwowej zawierającej 80% PE i 20% PA. Po dodaniu kompatybilizatorów układ stał się bardziej jednorodny, zmniejszeniu uległy domeny PA oraz poprawiły się właściwości mechaniczne.
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Morphology and properties of nanotubular oxide layer on the Ti13Zr13Nb alloy
PublicationThe Ti13Zr13Nb alloy in solid and porous form was oxidised. The constant voltage 20 V, oxidation time 0.5 and 1 h, and 1 M H3PO4 (orthophosphoric acid) with addition of HF (hydrofluoric acid) as a test solution were applied. SEM (Scanning Electron Microscope) examinations of surface, EDS (Energy Dispersive X-ray Spectroscopy) chemical analysis, nanohardness and nano-scratch tests, and corrosion potentiokinetic tests at various...
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MORPHOLOGY OF BUILDING DEVELOPMENT AS AN ELEMENT OF URBAN VENTIALTION SYSTEM
PublicationProblems related to air quality in large urban agglomerations (e.g., high concentration of pollutants, the urban heat island phenomenon) make it necessary to take comprehensive measures to improve air exchange in urban areas.The article concerns the relationship between wind phenomena observable in cities and the geometrical features of building development. The knowledge on the subject is already well-founded and has been intensively...
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Effect of Bi2O3 Excess on Morphology and Structure of BiNbO4 Ceramics
PublicationGoal of the present research was to fabricate BiNbO4 ceramics from the mixture of powders by the solid state reaction route and pressureless sintering at various temperatures (TS =8700C and TS =9100C) and study microstructure, phase composition and crystalline structure of BiNbO4 ceramics. Four batches were fabricated and examined, namely the one fabricated from the stoichiometric mixture of reagent – grade oxide powders, viz....
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Morphology control through the synthesis of metal-organic frameworks
PublicationDesignable morphology and predictable properties are the most challenging goals in material engineering. Features such as shape, size, porosity, agglomeration ratio significantly affect the final properties of metal- organic frameworks (MOFs) and can be regulated throughout synthesis parameters but require a deep under- standing of the mechanisms of MOFs formation. Herein, we systematically summarize the effects of the indi- vidual...
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Mathemathical model of radial passive magnetic bearing
PublicationIn the article mathematical radial model of passive magnetic bearings to ocean engineering units has been presented. The units application in underwater thrusters should increase propulsion systems durability and gives lower maintenance costs. The rotor of electric motor is hanging in magnetic field taken from radial passive magnetic bearings. However axial direction maintenance must be controlled with electromagnets and their...
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Chapter 19: Physical and mathematical models of losses in hydraulic motors
PublicationOpisano bilans energii w silniku hydraulicznym z uwzględnieniem strat mechanicznych, objętościowych i ciśnieniowych opisanych modelami fizycznymi i matematycznymi.
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Mathematical Model of the Vehicle Exploitation System of the Tactical Air Base
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Main inductances of induction motor for diagnostically specialized mathematical models
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Mathematical modelling of implant in an operated hernia for estimation of the repair persistence
PublicationThis paper presents mathematical modelling of an implanted surgical mesh used in the repair process of the abdominal hernia. The synthetic implant is simulated by a membrane structure. The author provides a material modelling of the implant based on the dense net model appropriate for technical fabrics. The accuracy of the proposed solution is evaluated by comparing the simulations of the dynamic behaviour of the system with the...
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Mathematical analysis of transformer insulation state by means of composite indicator
PublicationThe paper is presenting mathematical model – composite indicator (CI), which was utilized on insulating state of distribution transformer to analyze and sensibility of individual measurements methods mutual comparison. We can uniquely determine importance of these measurements methods with this mathematical apparatus in these measurements methods in insulating state of transformers.
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Shallow Water Equations as a Mathematical Model of Whitewater Course Hydrodynamics
PublicationPredicting the positions of local hydraulic phenomena, as well as accurately esti-mating the depth and velocity of the water flow are necessary to correctly config-ure a whitewater canoeing course. Currently, a laboratory and full 3D CFD model-ing are typically used in the design process to meet these needs. The article points to another possibility which can be useful at the preliminary stage of the design. The authors show that...
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Mathematical modelling and computer simulation of activated sludge systems.Second edition
PublicationMathematical Modelling and Computer Simulation of Activated Sludge Systems – Second Edition, provides, from the process engineering perspective, a comprehensive and up-to-date overview regarding various aspects of the mechanistic (“white box”) modelling and simulation of advanced activated sludge systems performing biological nutrient removal. In the new edition of the book, a special focus is given to nitrogen removal and an overview...
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2D Mathematical Model of the Commutator Sliding Contact of an Electrical Machine
PublicationW artykule przedstawiono model matematyczny 2D komutatorowego zestyku ślizgowego z wieloma stopniami swobody. W modelu uwzględniono zmienne wymuszenia działające na szczotkę. Wymuszenia te są wynikiem falistości wirującego komutatora. Szczotka została zamodelowana jako system wielu mas, elementów sprężystych i tłumików rozłożonych w kierunku stycznym i promieniowym. Zamodelowano wszystkie oddziaływania lepkosprężyste pomiędzy komutatorem...
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A Novel Approach to Fully Nonlinear Mathematical Modeling of Tectonic Plates
PublicationThe motion of the Earth's layers due to internal pressures is simulated in this research with an efficient mathematical model. The Earth, which revolves around its axis of rotation and is under internal pressure, will change the shape and displacement of the internal layers and tectonic plates. Applied mathematical models are based on a new approach to shell theory involving both two and three-dimensional approaches. It is the...
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The use of mathematical models for diagnosis of activated sludge systems in WWTP
PublicationIn this study diagnosis of activated sludge systems in wastewater treatment plant (WWTP) was investigated. Diagnosis of technical objects can be realized in many ways. One of the divisions of the diagnostic methods include modelling with or without a model of the object. The first of these is the analysis of the symptoms for which, based on the parameter values, the abnormality in the diagnosed objects are sought. Another way is...
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Mathematical modelling of the overhead contact line for the purpose of diagnostics of pantographs
PublicationThe overhead contact line (OCL) is the most effective way for supplying railway electric vehicles. The increase of the speed of the vehicles increases power consumption and requires ensuring proper cooperation of pantographs with OCL. The paper describes the novel mathematical model of the OCL system and the simulation results. The primary objective is a more accurate analysis to increase the reliability of the evaluation of monitoring...
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The progress in characterization of polyurethanes morphology with different microscopic methods----WYJAŚNIĆ-----
PublicationW pracy opisano wyniki badań dotyczące analizy morfologii poliuretyanów określanej różnymi metodami. Omówiono mikroskopię optyczną, elektronową, mikroskopię termiczną, mikroskopię fluoroscencyjną, mikro-Ramana i mikroskopię sił atomowych.
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Left Ventricular Mass: Correlation with Fatness, Hemodynamics and Renal Morphology
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Does morphology of carotid plaque depend on patient's oxidative stress?
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Influence of synthesis conditions on zinc oxide nanorode layer morphology
PublicationIn recent years one dimensional (1D) nanostructures (nanotubes, nanowires, nanoribbons and nanorods) have been widely studied. Among studied nano-materials, the greatest interest can be seen for zinc oxide (ZnO). However, there is still a need for simple, inexpensive and reproducible fabrication method. In the literature different fabrication methods can be found, most of them requires expensive equipment and involve complex...
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The influence of rubber recyclate morphology on the properties of rubber-asphalt composite
PublicationIn the paper wastes, mostly in the form of used tires, were analyzed. One of the methods of waste tires application use them as a modifier of asphalt. However, the properties of rubber-asphalt composites depend on the morphology of waste tiregranulate and kind of tire recycled (car/truck). In this chapter, the influence of grinding methods of waste tire on the prop¬erties of rubber-asphalt composites were studied. SEM analysis...
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Calculation of self and mutual inductances of the switched reluctance machine mathematical model.
PublicationA mathematical model of the switched reluctance machine (SRM) in a drive system obtained using Lagrange's energy method and a method of calculation of self and mutual inductances of the SRM are presented in the paper. The self and mutual inductances are elements of Lagrange's function in generalised coordinates and have been calculated using the finite element method (FEM). Selected calculation results for the particular machine...
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Application of multi-criteria mathematical programming models for assignment of services in a hospital
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Mathematical Modeling of Hydrodynamics in Bioreactor by Means of CFD-Based Compartment Model
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