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Search results for: MATHEMATICAL MORPHOLOGY
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International Conference on Discrete Mathematics and Theoretical Computer Science
Conferences -
Degradibility in vitro of polyurethanes based on synthetic atactic poly[)R,S)-3-hydroxybutyrate
PublicationThe aim of the paper was to determine the degradibility of aliphatic polyurethanes in hydrolytic and oxidative solutions. DSC, GPC, density, polymer surface morphology were studied.
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The Chow Ring of flag manifolds
Open Research DataSchubert calculus is the intersection theory of 19th century. Justifying this calculus is the content of the 15th problem of Hilbert. In the course to establish the foundation of algebraic geometry, Van der Vaerden and A. Weil attributed the problem to the determination of the chow ring of flag manifolds G/P, where G is a compact Lie group and P is...
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A Formal Approach to Model the Expansion of Natural Events: The Case of Infectious Diseases
PublicationA formal approach to modeling the expansion of natural events is presented in this paper. Since the mathematical, statistical or computational methods used are not relevant for development, a modular framework is carried out that guides from the external observation down to the innermost level of the variables that have to appear in the future mathematical-computational formalization. As an example we analyze the expansion of Covid-19....
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Paweł Możejko dr hab.
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LIDAR data from a cliff measurement conducted in the vicinity of the town of Jastrzębia Góra on the Baltic Sea coast
Open Research DataMeasurement data were obtained during research related to the use of LiDAR observations to assess the stability of a coastal cliff. The collected information comes from measurements conducted in the vicinity of the town of Jastrzębia Góra on the Baltic Sea coast. The acquired point cloud constitutes a comprehensive set of data regarding the geometry...
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Proton Conducting Ceramic Powder Synthesis by a Low Temperature Method
PublicationMolten salt synthesis (MSS) is a simple method for the preparation of ceramic powders with specific morphology. The main role of the molten salts is to increase the reaction rate and lower the reaction temperature. It occurs because of much higher mobility of reactants in the liquid medium than in the solid state. In this work the molten salt synthesis was applied to produce ceramic powders of La0995Ca0005NbO4 and BaCe09−xZrxY01O3....
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TEM (transmission electron microscopy) images and elemental mapping EDX (energy dispersive X-ray spectroscopy) of bulk boron and borophene obtained during ball milling
Open Research DataThese data contain TEM (transmission electron microscopy) images with corresponding elemental mapping EDX of bulk boron and borophene flakes after the ball-milling process (450 rpm, 6 h, 1 g). The data were collected to investigate the structure and morphology of the materials.
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Anna Niewulis dr
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Analytical Methods for Causality Evaluation of Photonic Materials
PublicationWe comprehensively review several general methods and analytical tools used for causality evaluation of photonic materials. Our objective is to call to mind and then formulate, on a mathematically rigorous basis, a set of theorems which can answer the question whether a considered material model is causal or not. For this purpose, a set of various distributional theorems presented in literature is collected as the distributional...
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Optimizing FSO networks resilient to adverse weather conditions by means of enhanced uncertainty sets
PublicationThis work deals with dimensioning of wireless mesh networks (WMN) composed of FSO (free space optics) links. Although FSO links realize broadband transmission at low cost, their drawback is sensitivity to adverse weather conditions causing transmission degradation on multiple links. Hence, designing such FSO networks requires an optimization model to find the cheapest configuration of link capacities that will be able to carry...
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Optimal state feedback controller for balancing cube
PublicationIn this paper, a nonlinear balancing cube system is considered, the concept for which is based on an inverted pendulum. The main purpose of this work was the modelling and construction of a balancing cube with the synthesis of the control system. The control objectives included swing-up and stabilization of the cube on its vertex at an unstable equilibrium. Execution of the intended purpose required, first, deriving a cognitive...
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Evaluation of the Impact of Different Types of Uncoupling on the Processing Capacity of Hump Yards
PublicationThe paper considers the issue of evaluating the impact of different types of uncoupling to increase the processing capacity of hump yards to ensure high technical-economic indicators in the conditions of limited capital funds. Moreover it describes the mathematical formulation of the sorting slide. For the mathematical formulation, the sorting slide is taken as a surface that is uniquely projected onto a horizontal plane. Based...
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Scanning electron microscopy (SEM) images of the boron-dopied diamond surfaces
Open Research DataThe dataset contains the scanning electron micrographs (SEM), revealing the surface morphology of diamond electrodes on different substrates. The diamond surface is characterized by an aggregation of crystals that do not form a continuous layer.
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Scanning electron microscopy (SEM) images of the boron-dopied diamond surfaces
Open Research DataThe dataset contains the scanning electron micrographs (SEM), revealing the surface morphology of diamond electrodes on silicon substrates. The diamond surface is characterized by ultra-crystalline diamonds obtained by CVD synthesis.
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MULTI-CRITERIA MODEL IN MULTIFUNCTIONAL BUILDING SYSTEM DESIGN PROCESS
PublicationThe paper presents a multi-criteria approach in multifunctional building system design process. The aim is to develop a theory relative to the engineering system of multifunctional with a mathematical representation defined by a holistic network for the lifecycle of the designed object. The idea of work was to define the structure of a complex system. Background for the presented field is to develop a design strategy for multifunctional...
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Numerical modeling of sound intensity distributions around acoustic transducer
PublicationThe aim of this research study is to measure, simulate and compare sound intensity distribution generated by the acoustic transducers of the loudspeaker. The comparison of the gathered data allows for validating the numerical model of the acoustic radiation. An accurate model of a sound source is necessary in mathematical modeling of the sound field distribution near the scattering obstacles. An example of such obstacle is a human...
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Testing the impact of simplifications adopted in models describing wave loads on ship
PublicationThe wave-ship system in naval architecture is generally assumed to be a linear one. This allows for the computation of a transfer function of ship response to waves including wave loads on ship. The transfer function and the wave spectral density function enable the development of the stochastic process of wave loads on ship, corresponding to the irregular wave generating that loads. If the mathematical models of wave load transfer...
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Testing the impact of simplifications adopted in models describing wave loads on ship
PublicationThe wave-ship system in naval architecture is generally assumed to be a linear one. This allows for the computation of a transfer function of ship response to waves including wave loads on ship. The transfer function and the wave spectral density function enable the development of the stochastic process of wave loads on ship, corresponding to the irregular wave generating that loads. If the mathematical models of wave load transfer...
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Vertical motions damping model test of a lifeboat lowered onto a flat sea surface
PublicationThe article presents the experiment’s results of the lifeboat model lowered with an initial speed and then released to fall onto a flat water surface. The purpose of the research is to determine the trajectory of the vertical boat motion and describe it with a mathematical model. This is closely related to determining the damping factor since the vertical motion is damped and the lifeboat gets balanced and stops moving after some...
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TWORZENIE TESTÓW Z MATEMATYKI Z WYKORZYSTANIEM PLATFORMY ENAUCZANIE
PublicationThe aim of the article is to present the use of the eNauczanie platform to create tests in mathematics after the first semester of mathematics at the Gdańsk University of Technology. Different types of questions will be discussed with special attention to questions that will allow to present mathematics content in an effective manner.
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Radosław Szmytkowski prof. dr hab.
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Comparative analysis of balancing of V6 engines with common- and split-pin crankshafts
PublicationAn analysis of balancing of V6 engines equipped with split-pin crankshafts with any cylinder bank angle based on the mathematical relations derived in the paper was carried out. A comparison of the quality of their balancing with engines equipped with common-pin crankshafts was also carried out. The bank angle ranges beneficial for balancing of moments of inertia forces in reciprocating motion were determined. A mathematical relation...
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Marek Czachor prof. dr hab.
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Mind the framing: Match purpose and context
PublicationIn several ways, the following chapters will allude to the concept of frames. The assumptions of a mathematical model tell us what it can explain and what it cannot (see chapter 5). The trade-off between the usefulness of a mathemati- cal model and the scale of complexity it seeks to capture further conditions the narrative, highlighting or downsizing cognitive elements relevant to responsible modelling (see ‘Mathematics and tales’...
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Substrate Dependence in the Formation of Au Nanoislands for Plasmonic Platform Application
PublicationIn this work, the influence of the various substrates on Au nanoisland formation has been studied. Nanostructures were obtained via annealing of thin Au films. In order to determine nanoisland formation mechanisms, correlation between an initial film thickness and temperature of formation, shapes, and dimensions of nanostructures was examined. For the surface morphology studies, nanograin structure, and chemical composition analysis,...
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Rheology of polymer blends
PublicationPolymer blends are physical mixtures of two or more homopolymers or copolymers. This type of materials have wide spectrum of technological applications, and their properties are influenced, e.g., by the properties of single components and morphology of final material. The rheology of polymer blends is connected with the processing of polymer blends and is influenced by thermodynamics, morphology, and their evolution during testing....
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Colloquium on Mathematics and Computer Science: Algorithms, Trees, Combinatorics and Probabilities
Conferences -
SpaceTop Topological invariants: the structure of a space and its self-maps
ProjectsProject realized in Department of Differential Equations and Mathematical Applications according to UMO-2018/30/Q/ST1/00228 agreement from 2019-07-26
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Ryszard Jan Barczyński dr hab. inż.
PeopleRyszard Jan Barczyński (b. 24 June 1957 in Gdańsk), Polish scientist, engineer, a specialist in solid state physics and electronic measurement techniques. In 1976, he obtained a high school diploma in the IV High School Tadeusz Kosciuszko in Torun. Higher education he graduated in 1981 at the Institute of Physics, Technical University of Gdansk in specialty of solid state physics, obtaining master's degree in engineering. Since...
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Electrophoretically Deposited Chitosan/Eudragit E 100/AgNPs Composite Coatings on Titanium Substrate as a Silver Release System
PublicationDue to the possibility of bacterial infections occurring around peri-implant tissues, it is necessary to provide implant coatings that release antibacterial substances. The scientific goal of this paper was to produce by electrophoretic deposition (EPD) a smart, chitosan/Eudragit E 100/silver nanoparticles (chit/EE100/AgNPs) composite coating on the surface of titanium grade 2 using different deposition parameters, such as the...
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Performance and Emission Modelling and Simulation of Marine Diesel Engines using Publicly Available Engine Data
PublicationTo analyse the behaviour of marine diesel engines in unsteady states for different purposes, for example to determine the fuel consumption or emissions level, to adjust the control strategy, to manage the maintenance, etc., a goal-based mathematical model that can be easily implemented for simulation is necessary. Such a model usually requires a wide range of operating data, measured on a test stand. This is a time-consuming process...
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Polyurethanes
PublicationThe chapter content is devoted to Polyurethanes and consists of the following items: general characteristics of polyurethanes, raw materials used in the synthesis of crosslinked polyurethanes, synthesis and crosslinking reactions of polyurethanes, morphology of liniear and branched PU, manufacturing methods and functional properties.
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The AFM micrographs of isotropic etching silicon substrates (111)
Open Research DataThe DataSet contains the atomic force microscope images of isotropic etching silicon substrates (111). The silicon wafers were etched in a mixture of nitric acid, hydrofluoric acid, and acetic acid in the ratio of 40:1:15. The soaking time for the substrates was from 20 to 90 seconds
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Analysis and improvement attempt of prof. Alan Fowler’s negotiation game
PublicationThe main goal of the following article is to design an improved version of the negotiation game created by prof. Alan Fowler (Fowler, 1997). I have tried to achieve this by constructing four separate versions of the game which represent different approaches while preserving rules, chosen basic technical assumptions and the simplicity of the base game. Each version of the game is supposed to i.a. make it less obvious, create new...
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Contra Bellum: Bell's Theorem as a Confusion of Languages
PublicationBell's theorem is a conflict of mathematical predictions formulated within an infinite hierarchy of mathematical models. Inequalities formulated at level k ∈ Z are violated by probabilities at level k+1. We are inclined to think that k=0 corresponds to the classical world, while k=1 — to the quantum one. However, as the k=0 inequalities are violated by k=1 probabilities, the same relation holds between k=1 inequalities violated...
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A Simple Replica Method as the Way to Obtain a Morphologically and Mechanically Bone-like Iron-Based Biodegradable Material
PublicationPorous iron-based scaffolds were prepared by the simple replica method using polyurethane foam as a template and applying the sintering process in a tube furnace. Their surface morphology was characterized using scanning electron microscopy (SEM) and phase homogeneity was confirmed using X-ray diffraction (XRD). Corrosion behavior was determined using immersion and potentiodynamic polarization methods in phosphate buffered saline...
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SEM and Raman studies B:CNWs and BDD electrode used for electrochemical paraquat determination
Open Research DataThe dataset contains the scanning electron micrographs (SEM) and Raman spectra of B:CNWs and BDD samples deposited by MW-PECVD. SEM was used to characterise the morphology of BDD and B:CNW. In contrast, RAMAN was used to reveal the main differences in the crystalline structure of BDD and B:CNWs.
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Karol Daliga dr inż.
PeopleIn 2005, he graduated from a mathematics and physics class and passed his secondary school-leaving examination at 1st Secondary School named after Władysław Gebik, former Polish grammar school in Kwidzyn. In the years 2005-2010 he completed master's studies at Faculty of Applied Physics and Mathematics of Gdańsk University of Technology, and in 2008-2012 he completed engineering studies at Faculty of Civil and Environmental Engineering...
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Data on solutions of Hes1 system
Open Research DataHes1 protein (hairy and enhancer of split 1) belongs to the helix-loop-helix (bHLH) family of transcription proteins, i.e. DNA-binding proteins in the promoter region or in another region where regulation of transcription processes occurs. The database collects data on solutions of the Hes1 systems with multiple binding sites and the dimer formation...
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On the well posedness of static boundary value problem within the linear dilatational strain gradient elasticity
PublicationIn this paper, it is proven an existence and uniqueness theorem for weak solutions of the equilibrium problem for linear isotropic dilatational strain gradient elasticity. Considered elastic bodies have as deformation energy the classical one due to Lamé but augmented with an additive term that depends on the norm of the gradient of dilatation: only one extra second gradient elastic coefficient is introduced. The studied class...
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Uniform expansion estimates in the cubic map as a function of the parameter
Open Research DataThis dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.
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Uniform expansion estimates in the unimodal map with γ=1.5 as a function of the parameter
Open Research DataThis dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.
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Uniform expansion estimates in the unimodal map with γ=2.5 as a function of the parameter
Open Research DataThis dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.
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Józef Eugeniusz Sienkiewicz prof. dr hab.
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Toughness augmentation by fibrillation and yielding in nanostructured blends with recycled polyurethane as a modifier
PublicationIn the present paper, we have carefully investigated the morphology and fracture mechanism of the recycled polyurethane (RPU) /epoxy blend system. The second phase (RPU) added to the epoxy resin has a positive effect on the overall mechanical properties. Interestingly, the recycled polymer has a remarkable effect on the fracture toughness of epoxy resin. The mechanism behind the fracture toughness improvement up on the addition...
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Size-Controlled Synthesis of Pt Particles on TiO2 Surface: Physicochemical Characteristic and Photocatalytic Activity
PublicationDifferent TiO2 photocatalysts, i.e., commercial samples (ST‐01 and P25 with minority of rutile phase), nanotubes, well‐crystallized faceted particles of decahedral shape and mesoporous spheres, were used as supports for deposition of Pt nanoparticles (NPs). Size‐controlled Pt NPs embedded in TiO2 were successfully prepared by microemulsion and wet‐impregnation methods. Obtained photocatalysts were characterized using XRD, TEM,...
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Scanning electron microscopy (SEM) images of the boron-doped carbon nanowalls surfaces
Open Research DataThe dataset contains the scanning electron micrographs (SEM), revealing the surface morphology of boron-doped carbon nanowalls electrodes on silicon substrates. The surface is characterized by nano-walled structures. The obtained electrodes were doped with boron at the level of [B]/[C] = 5000ppm in the gas atmosphere during the synthesis.
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Scanning electron microscopy (SEM) images of the boron-dopied carbon nanowalls surfaces
Open Research DataThe dataset contains the scanning electron micrographs (SEM), revealing the surface morphology of boron-doped carbon nanowalls electrodes on silicon substrates. The surface is characterized by nano-walled structures. The obtained electrodes were doped with boron at the level of [B]/[C] = 1200ppm in the gas atmosphere during the synthesis.
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Scanning electron microscopy (SEM) images of the boron-doped carbon nanowalls surfaces
Open Research DataThe dataset contains the scanning electron micrographs (SEM), revealing the surface morphology of boron-doped carbon nanowalls electrodes on silicon substrates. The surface is characterized by nano-walled structures. The obtained electrodes were doped with boron at the level of [B]/[C] = 2000ppm in the gas atmosphere during the synthesis.