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On the partition dimension of trees
PublikacjaGiven an ordered partition Π={P1,P2,…,Pt} of the vertex set V of a connected graph G=(V,E), the partition representation of a vertex v∈V with respect to the partition Π is the vector r(v|Π)=(d(v,P1),d(v,P2),…,d(v,Pt)), where d(v,Pi) represents the distance between the vertex vv and the set Pi. A partition Π of V is a resolving partition of G if different vertices of G have different partition representations, i.e., for every...
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Proximity: Synthesis, Six-Dimensional Typology, and Significance for Cooperation Performance
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Two-dimensional rotation-symmetric number-conserving cellular automata
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Conductivity of two-dimensional composites with randomly distributed elliptical inclusions
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Two-dimensional thermoluminescence method for checking LiF crystals homogeneity
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Dimensional accuracy and roughness of lamellas when sawing frozen wood
PublikacjaPrzedstawiono wpływ obniżania temperatury drewna sosnowego (-5°C i -20°C) i prędkości posuwu na dokładność wymiarową deszczułek oraz chropowatość powierzchni po przecinaniu. Badania prowadzono na pilarce ramowej wielopiłowej PRW15M z użyciem cienkich pił z ostrzami stellitowanymi. Otrzymywane wyniki odnoszono do wyników przecinania drewna o temperaturze +18°C. Profil grubości określano metodą kontaktową z pomiarem ciągłym na długości...
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The numerical simulation of two-dimensional vertical incompressible viscous flow
PublikacjaW artykule przedstawiono numeryczne symulacje płaskiego pionowego przepływu nieściśliwej cieczy lepkiej ze swobodną powierzchnią. Zastosowano model bazujący na rozwiązaniu równań Naviera-Stokesa metodą "ciśnień" (SIMPLE). Przy takim podejściu otrzymano dywergencję równań Naviera-Stokesa oraz równanie Poissona na ciśnienie. W rozwiązaniu zastosowano schemat Laxa-Wendroffa z przesuniętą siatką Eulera. Takie podejście zapewnia dokładność...
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One-dimensional chaos in a system with dry friction: analytical approach
PublikacjaWe introduce a new analytical method, which allows to find chaotic regimes in non-smooth dynamical systems. A simple mechanical system consisting of a mass and a dry friction element is considered. The corresponding mathematical model is being studied. We show that the considered dynamical system is a skew product over a piecewise smooth mapping of a segment (the so-called base map). For this base map we demonstrate existence of...
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Approximate Criteria for the Evaluation of Truly Multi-Dimensional Optimization Problems
PublikacjaIn this paper we propose new improved approximate quality criteria useful in assessing the efficiency of evolutionary multi-objective optimization (EMO). In the performed comparative study we take into account the various EMO algorithms of the state-of-the-art, in order to objectively assess the EMO performance in highly dimensional spaces. It is well known that useful executive criteria, such as those based on the true Pareto...
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Application of two-dimensional intensity maps in high-accuracy polarimetry
PublikacjaWe propose the analysis of 2D intensity contour maps which is based on the optical transmission function for the polarizer-specimen-analyzer system. A small modification of the high-accuracy universal polarimeter (HAUP) technique was used to measure the intensity maps (HAUP maps) and determine the phase retardation, linear dichroism (LD) parameters, and multiple light reflection contribution in uniaxial crystals. We have performed...
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Processing of Hydroacoustic and LiDAR Data for Three-dimensional Surface Reconstruction
PublikacjaThe technologies of sonar and laser scanning are commonly used for obtaining spatial information about underwater and over ground environments in the form of point clouds. Since this data model has known disadvantages, a more practical solution of visualising such data involves the creation of solid three-dimensional meshes composed of edges and facets. In this paper, several methods for 3D shape reconstruction of data obtained...
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Two-dimensional hydrogen-like atom in a weak magnetic field
PublikacjaWe consider a non-relativistic two-dimensional (2D) hydrogen-like atom in a weak, static, uniform magnetic field perpendicular to the atomic plane. Within the framework of the Rayleigh-Schr¨odinger perturbation theory, using the Sturmian expansion of the generalized radial Coulomb Green function, we derive explicit analytical expressions for corrections to an arbitrary planar hydrogenic bound-state energy level, up to the fourth...
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Two-dimensional gas chromatography – principles and application in fruits analysis
PublikacjaTwo-dimensional gas chromatography is a rapidly developing analytical technique. One of the major uses of this technique is its use for food analysis. The paper presents the principle of operation and history of this analytical technique. The specification of the two-dimensional gas chromatography technique has been discussed. The principles of separation of ingredients and application of the method, particularly in the analysis...
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PROPERTIES OF ONE DIMENSIONAL OPEN-CHANNEL STEADY FLOW EQUATIONS
PublikacjaIn this paper properties of discrete forms of one dimensional steady gradually varied flow equations are discussed. Such forms of flow equations are obtained as a result of approximation of their differential forms, which is required to solve them numerically. For such purpose explicit or implicit numerical approximation schemes for ordinary differential equations can be applied. It turns out that dependently on the chosen approximation...
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Three-dimensional representation of geographic data in a Web-based GIS
PublikacjaPresenting geographic data in a web environment has been a long standing problem. For many years the low performance of web browsers has limited the visualization of spatial data to only two dimensions. More recently, the introduction of open standards for 3D acceleration of web applications sparked the emergence of new methods of presenting three-dimensional data in a web browser without using third-party extensions. However,...
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Topological-numerical analysis of a two-dimensional discrete neuron model
PublikacjaWe conduct computer-assisted analysis of a two-dimensional model of a neuron introduced by Chialvo in 1995 [Chaos, Solitons Fractals 5, 461–479]. We apply the method of rigorous analysis of global dynamics based on a set-oriented topological approach, introduced by Arai et al. in 2009 [SIAM J. Appl. Dyn. Syst. 8, 757–789] and improved and expanded afterward. Additionally, we introduce a new algorithm to analyze the return times...
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Framing the Temporal Dimensions of a Brand
PublikacjaDrawing on existing research dealing with time in brand and brand management, this paper aims at providing a comprehensive and coherent framework of some time-related concepts, with a special emphasis on what happens when a brand reaches the senescence stage. In addition, it strives to consider what happens when a brand becomes long-lived enough, looking at the brand’s customer base. While undoubtedly time affects customers’ age...
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Two-dimensional vertical Reynolds-averaged naviers-stokes equations versus one-dimensional Saint-Venant model for rapidly varied open channel water flow modelling
PublikacjaPrzedstawiono dwa modele przepływu wody ze swobodną powierzchnią -płaski pionowy model Reynoldsa i model de Saint-Venanta.Do rozwiązania równań pierwszego modelu zastosowano schemat SIMPLE oraz wykorzystano metodę cząstek znaczonych MAC do wyznaczania swobodnej powierzchni wody. Równania Saint-Venanta rozwiązano metodą objętości skończonych. Obydwa modele zastosowano do symulacj zjawiska typu katastrofa zapory. Porównano wyniki...
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Enantioselective comprehensive two-dimensional gas chromatography of lavender essential oil
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Path components of the space of gradient vector fields on the two-dimensional disc
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Isolation and 3-dimensional Culture of Primary Murine Intestinal Epithelial Cells
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Doped Two-Dimensional Silicon Nanostructures as a Platform for Next-Generation Sensors
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Procedure for Determining Dimensional Allowances for PPE Using 3D Scanning Methods
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3D Hand Scanning Methodology for Determining Protective Glove Dimensional Allowances
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Low-dimensional bound entanglement with one-way distillable cryptographic key
PublikacjaIn this paper, we provide a class of bound entangled states that have positive distillable secure key rate. The smallest state of this kind is 4 circle times 4, which shows that peculiar security contained in bound entangled states does not need high-dimensional systems. We show that for these states a positive key rate can be obtained by one-way Devetak-Winter (DW) protocol. Subsequently, the volume of bound entangled key-distillable...
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Two dimensional modelling of the flood zones in the Vistula river valley in Warsaw
PublikacjaW artykule przedstawiono opis metodyki wyznaczania stref zalewu powodziowego na terenach miejskich. Rozprzestrzenianie się zalewu symulowano przy pomocy dwuwymiarowych równań de Saint-Venanta. Zasięg zalewu i strefy zagrożenia powodziowego przedstawiono w systemie GIS. Wykonano analizę zagrożenia powodziowego w dolinie Wisły w Warszawie.
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Two-dimensional gel-based serum protein profile of growing piglets
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Hydrological Forecasting in the Oder Estuary using a Three- Dimensional Hydrodynamic Model
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Damage detection in rectangular plates by continuous two-dimensional wavelet transform
PublikacjaPraca opisuje zastosowanie dwuwymiarowej transformaty falkowej do detekcji i lokalizacji uszkodzeń w konstrukcji płytowej. Defekt zlokalizowano na podstawie postaci drgań z symulacji numerycznych oraz z badań eksperymentalnych.
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Two dimensional modeling of the flood zones in the Vistula river valley in Warsaw
PublikacjaPrzedstawiono metodę numerycznego wyznaczania stref zagrożenia powodziowego. Transformację fali powodziowej symulowano, używając dwuwymiarowych równań de Saint-Venanta. Zasięg zalewu i strefy zagrożenia powodziowego przedstawiono w systemie GIS. Wykonano analizę zagrożenia powodziowego w dolinie Wisły w Warszawie.
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Two-Dimensional Gas Chromatography Coupled With Mass Spectrometry in Food Analysis
PublikacjaThe development of instrumental analytical techniques provided the opportunity for in-depth characterization of many food matrices. In particular, the use of gas chromatography coupled with mass spectrometry gives impressive results in terms of quality and authenticity testing, conducting food freshness evaluations and contamination assessments. A new variant of gas chromatography, namely two-dimensional gas chromatography (GC...
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Relativistic two-dimensional hydrogen-like atom in a weak magnetic field
PublikacjaA two-dimensional (2D) hydrogen-like atom with a relativistic Dirac electron, placed in a weak, static, uniform magnetic field perpendicular to the atomic plane, is considered. Closed forms of the first- and second-order Zeeman corrections to energy levels are calculated analytically, within the framework of the Rayleigh–Schrödinger perturbation theory, for an arbitrary electronic bound state. The second-order calculations are...
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Review and comparison of smoothing algorithms for one-dimensional data noise reduction
PublikacjaThe paper considers the choice of parameters of smoothing algorithms for data denoising. The impact of the window size on smoothing accuracy was analyzed. The parameters of denoising filters were selected with respect to the meansquare error between the computed linear regression and the noisy signal. Finally, we have compared mean, median, SavitzkyGolay, Kalman and Gaussian filter algorithms for the data from the digital sensor....
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Three-dimensional printed trachea helps to design tailored treatment for tracheobronchomalacia
PublikacjaTracheobronchomalacia is a rare respiratory disease that is manifesting by impaired ventilation with expiratory collapse of the tracheal wall due to softening of the supporting cartilage and hypotonia of myoelastic elements [1]. Surgery is the mainstay of treatment. We report the case of 39 -year old man with exacerbation of chronic respiratory distress. The membranous wall of the trachea and the large bronchi was stretched to...
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The homotopy type of the space of gradient vector fields on the two-dimensional disc
PublikacjaWe prove that the inclusion of the space of gradient vector fields into the space of all vector fields on D^2 non-vanishing in S^1 is a homotopy equivalence
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Numerical Simulation of two dimensional flow past a bridge cross section
PublikacjaThis work presents some numerical results concerning application of CFD in civil engineering problems. Selected theoretical aspects of fluid mechanics are elucidated. In the second part of the paper a cross section of upper footbridge of the Bella Sky Hotel in Copenhagen is analysed numerically in the field of wind action.
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On analytical solution of stationary two dimensional boundary problem of natural convection
PublikacjaApproximate analytical solution of two dimensional problem for sta- tionary Navier-Stokes, continuity and Fourier-Kirchho equations describ- ing free convective heat transfer from isothermal surface of half innite vertical plate is presented. The problem formulation is based on the typ- ical for natural convection assumptions: the uid noncompressibility and Boussinesq approximation. We also assume that orthogonal to the plate component...
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Path components of the space of gradient vector fields on the two dimensional disc
PublikacjaWe present a short proof that if two gradient maps on the twodimensional disc have the same degree, then they are gradient homotopic.
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Three-dimensional mapping for data collected using variable stereo baseline
PublikacjaThe paper describes a system of 3D mapping of data collected with due regard for variable baseline. This solution constitute an extension to a VisRobot sub-system developed as a subsystem, necessary for implementing the generic idea of using mobile robots to explore an indoor static environment. This subsystem is to acquire stereo images, calculate the depth in the images and construct the sought 3D map. Stereo images are obtained...
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A New Type of Macro-Elements for Efficient Two-Dimensional FEM Analysis
PublikacjaThis letter deals with a model order reduction technique applicable for driven and eigenvalue problems solved using the finite element method (FEM). It allows one to efficiently compute electromagnetic parameters of structures comprising small features that require strong local mesh refinement. The subdomains of very fine mesh are separated from the global domain as so called macro-elements that undergo model reduction. The macro-elements...
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Nonlinear viscoelasticity in Three Dimensional filler reinforced rubber composites and nanocomposites
PublikacjaThis chapter describes the influence of three-dimensional nanofillers used in elastomers on the nonlinear viscoelastic properties. In particular, this part focuses and investigates the most important three-dimensional nanoparticles, which are used to produce rubber nanocomposites. The rheological and the dynamic mechanical properties of elastomeric polymers, reinforced with spherical nanoparticles, like POSS, titanium dioxide and...
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Three-dimensional characterization of porosity in iron ore pellets: A comprehensive study
PublikacjaThis paper presents a comprehensive study on the production and reduction of high-quality iron ore pellets characterized by a basicity index nearing 0.5 and diameters ranging from 1 to 2 cm. The reduction process was carried out in a hydrogen atmosphere at temperatures spanning 800–1000 ◦ C and a pressure of 8 bar. Initial f indings revealed substantial variations in pellet density and compressive strength, attributed to their...
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Lateral forces determine dimensional accuracy of the narrow‑kerf sawing of wood
PublikacjaThe shrinking global forest area limits the supply of industrially usable raw resources. This, in combination with the ever‑increasing consumption of timber due to population growth can lead to the lack of a positive balance between the annual volumetric growth and consumption of wood. An important innovation toward increasing environmental and economic sustainability of timber production is to reduce the volume of wood residues...
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Towards a universal embedded-atom method: empirically adjusted and consistent set of atomic densities for all elements of the periodic table
PublikacjaModel atomu HFS został zmodyfikowany poprzez wyznaczenie indywidualnych parametrów αex dla atomów. Parametry αex wyznaczono w oparciu o energię jonizacji atomów. W oparciu o tak zmodyfikowaną metodę HFS wyznaczono rozkłady gęstości elektronów w atomach.
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Inconsistency in the Ergogenic Effect of Caffeine in Athletes Who Regularly Consume Caffeine: Is It Due to the Disparity in the Criteria That Defines Habitual Caffeine Intake?
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New Product Creativity Dimensions and Performance
PublikacjaA new product’s meaningfulness and novelty are recognized as two distinct and important dimensions. Thus, researchers started to investigate their impact on new product performance. However, researchers’ reports on the impact of novelty on performance are still mixed, and several issues need to be solved. One of these problems is comparing how strongly each of these dimensions affects the new product performance. The other is to...
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Application of a three‑dimensional (3D) breast cancer model to study macrophage polarization
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Three-dimensional CFD modeling of thermal behavior of a disc brake and pad for an automobile
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Variational approach for interacting ultra-cold atoms in arbitrary one-dimensional confinement
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Variational ansatz for p-wave fermions confined in a one-dimensional harmonic trap
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