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Search results for: two-dimensional rotation-symmetric septenary cellular automata
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Two-dimensional rotation-symmetric number-conserving cellular automata
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The complete list of two-dimensional rotation-symmetric number-conserving septenary cellular automata
Open Research DataThis dataset contains a complete list of all 30144 two-dimensional rotation-symmetric number-con-serving cellular automata with the state set {0,1,2,3,4,5,6} based on adjacent cells only, i.e. with the von Neumann neighborhood. The detailed definitions and the method of enumerating are given in the paper:
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The complete list of two-dimensional number-conserving ternary cellular automata
Open Research DataThis dataset contains a complete list of all 1327 two-dimensional number-conserving cellular automata with the state set {0,1,2} (the so-called ternary cellular automata) based on adjacent cells only, i.e. with the von Neumann neighborhood. The detailed definitions and the method of enumerating are given in the paper:
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Analysis of elementary cellular automata using the theory of conflict
PublicationThe paper contains decomposition of elementary cellular automata (ECA in short) to subsystems that are defined according to a new theory called theory of conflict (ToC in short). The decomposition is a completely new approach to analysis of ECA and complex systems in general.
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The complete lists of 1D reversible number-conserving cellular automata with radius one of up to 7 states
Open Research DataThis dataset contains complete lists of all one-dimensional reversible number-conserving k-ary cellular automata with radius one of up to 7 states, i.e. with state sets {0,1}, {0,1,2}, {0,1,2,3}, {0,1,2,3,4}, {0,1,2,3,4,5} and {0,1,2,3,4,5,6}.
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On the decomposition of stochastic cellular automata
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Journal of Cellular Automata
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On exact two-dimensional kinematics for the branching shells
PublicationWe construct the two-dimensional (2D) kinematics which is work-conjugate to the exact 2D local equilibrium conditions of the non-linear theory of branching shells. It is shown that the compatible shell displacements consist of the translation vector and rotation tensor fields defined on the regular parts of the shell base surface as well as independently on the singular surface curve modelling the shell branching. Several characteristic...
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A Statistical Approach to the Identification of Diploid Cellular Automata
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Application of a cellular automata model to granular flow
PublicationPrzedstawiono wyniki modelowania przepływów granulowanych przy zastosowaniu automatu komórkowego. Obliczenia wykonano dla silosów ze wstawkami i ścianką szczelną. Przyjęto różne schematy propagacji ziaren.
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The Density Classification Problem in the Context of Continuous Cellular Automata
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On-line Search in Two-Dimensional Environment
PublicationWe consider the following on-line pursuit-evasion problem. A team of mobile agents called searchers starts at an arbitrary node of an unknown network. Their goal is to execute a search strategy that guarantees capturing a fast and invisible intruder regardless of its movements using as few searchers as possible. As a way of modeling two-dimensional shapes, we restrict our attention to networks that are embedded into partial grids:...
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An evolutionary approach to the identification of Cellular Automata based on partial observations
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Two-dimensional gas chromatography – principles and application in fruits analysis
PublicationTwo-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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On the correspondence between two- and three-dimensional Eshelby tensors
PublicationWe consider both three-dimensional (3D) and two-dimensional (2D) Eshelby tensors known also as energy–momentum tensors or chemical potential tensors, which are introduced within the nonlinear elasticity and the resultant nonlinear shell theory, respectively. We demonstrate that 2D Eshelby tensor is introduced earlier directly using 2D constitutive equations of nonlinear shells and can be derived also using the throughthe-thickness...
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On-line Search in Two-Dimensional Environment
PublicationWe consider the following on-line pursuit-evasion problem. A team of mobile agents called searchers starts at an arbitrary node of an unknown network. Their goal is to execute a search strategy that guarantees capturing a fast and invisible intruder regardless of its movements using as few searchers as possible. We require that the strategy is connected and monotone, that is, at each point of the execution the part of the graph...
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Numerical Solution of the Two-Dimensional Richards Equation Using Alternate Splitting Methods for Dimensional Decomposition
PublicationResearch on seepage flow in the vadose zone has largely been driven by engineering and environmental problems affecting many fields of geotechnics, hydrology, and agricultural science. Mathematical modeling of the subsurface flow under unsaturated conditions is an essential part of water resource management and planning. In order to determine such subsurface flow, the two-dimensional (2D) Richards equation can be used. However,...
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Identification of Cellular Automata Based on Incomplete Observations With Bounded Time Gaps
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A statistical approach to the identification of diploid cellular automata based on incomplete observations
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Perspectives of Fluctuation-Enhanced Gas Sensing by Two-Dimensional Materials
PublicationWe present the results of gas sensing using the fluctuation-enhanced sensing method in selected two-dimensional materials (2DMs). We claim that gas sensing selectivity can be improved further by considering semiconducting two-dimensional materials doped by noble metal nanoparticles. The 2DMs' structures exhibit some imperfections defined by their structure, occurring repeatedly there. These imperfections are adsorption-desorption...
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Relativistic two-dimensional hydrogen-like atom in a weak magnetic field
PublicationA 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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Modelling and simulation analysis of process alternatives in the cellular manufacturing of axially symmetric parts
PublicationAnalizowano procesy technologiczne (PT) alternatywnego wytwarzania określonego spektrum przedmiotów (PO) w różnych systemach gniazdowych. Rozpatrzono warianty PT z operacjami zintegrowanej obróbki wiórowej kształtującej i obróbki wykańczającej poprzez nagniatanie, oraz wariantów z różnicowaniem operacji, w których obróbka wykańczająca realizowana jest w oddzielnych operacjach szlifowania. Dla potrzeb gniazdowej dekompozycji systemów...
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A two dimensional approach for modelling of pennate muscle behaviour
PublicationThe purpose of this study was to elaborate a two-dimensional approach for unipennate and bipennate striated skeletal muscle modelling. Behavior of chosen flat pennate muscle is modelled as a rheological system composed of serially linked passive and active fragments having different mechanical properties. Each fragment is composed of three elements: mass element, elastic element and viscous element. Each active fragment furthermore...
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Affine continuous cellular automata solving the fixed-length density classification problem
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Two-dimensional hydrogen-like atom in a weak magnetic field
PublicationWe 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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Modelling and simulation analysis of process alternatives in the cellular manufacturing of axially symmetric parts [online]
PublicationAnalizowano procesy technologiczne (PT) alternatywnego wytwarzania określonego spektrum przedmiotów (PO) w zróżnicowanych systemach gniazdowych. Rozpatrzono warianty PT z operacjami zintegrowanej obróbki wiórowej kształtującej i obróbki wykańczającej poprzez nagniatanie, oraz wariantów z różnicowaniem operacji, w których obróbka wykańczająca realizowana jest w oddzielnych operacjach szlifowania. Dla potrzeb gniazdowej dekompozycji...
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A Comparison of Simplified Two-dimensional Flow Models Exemplified by Water Flow in a Cavern
PublicationThe paper shows the results of a comparison of simplified models describing a two-dimensional water flow in the example of a water flow through a straight channel sector with a cavern. The following models were tested: the two-dimensional potential flow model, the Stokes model and the Navier-Stokes model. In order to solve the first two, the boundary element method was employed, whereas to solve the Navier-Stokes equations, the...
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Density-conserving affine continuous cellular automata solving the relaxed density classification problem
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On analytical solution of stationary two dimensional boundary problem of natural convection
PublicationApproximate 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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Topological-numerical analysis of a two-dimensional discrete neuron model
PublicationWe 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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Modeling of the Two-Dimensional Flow Caused by Sea Conditions and Wind Stresses on the Example of Dead Vistula
PublicationThe article presents the results of two-dimensional modeling of flows caused by the sea conditions and wind stresses on the example of Dead Vistula. Based on the available bathymetric data, a numerical model of the river section was created, which was supplemented with data on the position of the water table depending on hydrometeorological conditions. To describe the flow field in steady conditions, a simplified model of two-dimensional...
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Two-Dimensional Gas Chromatography Coupled With Mass Spectrometry in Food Analysis
PublicationThe 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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On the Identification of $$\alpha $$ α -Asynchronous Cellular Automata in the Case of Partial Observations with Spatially Separated Gaps
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Application of the Boundary Element Method for the Simulation of Two-dimensional Viscous Incompressible Flow
PublicationThe paper presents the application of an indirect variant of the boundary element method (BEM) to solve the two-dimensional steady flow of a Stokes liquid. In the BEM, a system of differential equations is transformed into integral equations. Thi smakes it possible to limit discretization to the border of the solution. Numerical discretization of the computational domain was performed with linear boundary elements, for which a...
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Bistability in a One-Dimensional Model of a Two-Predators-One-Prey Population Dynamics System
PublicationIn this paper, we study a classical two-predators-one-prey model. The classical model described by a system of three ordinary differential equations can be reduced to a one-dimensional bimodalmap. We prove that this map has at most two stable periodic orbits. Besides, we describe the bifurcation structure of the map. Finally, we describe a mechanism that leads to bistable regimes. Taking this mechanism into account, one can easily...
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Implementation of the Boundary Element Method to Two-Dimensional Heat Transfer with Thermal Bridge Effects
PublicationThe work presents an application of the boundary element method applied to a two-dimensional conductive heat transfer. The algorithm of the method is explained and its advantages are outlined. Green's function as a fundamental solution for Poisson's equation in two dimensions was used and the direct approach was applied. The presented results concern building construction elements as typical cases of thermal bridges. Some properties...
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Comprehensive two-dimensional gas chromatography - promising technique for analysis of complex food matrices
PublicationThe present paper is focused on brief description of operational principle of comprehensive two-dimensional gas chromatography (GC×GC) technique, instrumentation and data processing. Furthermore, the examples of application in the field of food analysis, performed also in the author's laboratory, are given. The detailed discussion of GC×GC characterization and comparison of the volatile composition of berries of different blue...
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DEM investigations of two-dimensional granular vortex- and anti-vortex- structures during plane strain compression.
PublicationDEM investigations of two-dimensional granular vortex- and anti-vortex- structures during plane strain compression.
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Two- and three-dimensional elastic networks with rigid junctions: modeling within the theory of micropolar shells and solids
PublicationFor two- and three-dimensional elastic structures made of families of flexible elastic fibers undergoing finite deformations, we propose homogenized models within the micropolar elasticity. Here we restrict ourselves to networks with rigid connections between fibers. In other words, we assume that the fibers keep their orthogonality during deformation. Starting from a fiber as the basic structured element modeled by the Cosserat...
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Two dimensional inverse solution for diagonal pumps
PublicationW pracy przedstawiono rozwiązanie zadania odwrotnego dla wirnika i kierownicy pompy diagonalnej. Dla założonego kształtu powierzchni prądu wyznaczono kształt łopatek obu palisad. Geometria kanałów łopatkowych została wyznaczona w wyniku rozwiązania układu równań zapisanych w krzywoliniowym układzie współrzędnych. W pracy przedstawiono fotografie wirnika wykonanego techniką Rapid Prototyping.
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Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots
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Radial and angular correlations in a confined system of two atoms in two-dimensional geometry
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Comprehensive two-dimensional gas chromatography for determination of the terpenes profile of blue honeysuckle berries
PublicationTerpenes are the main group of secondary metabolites, which play essential role in human. The establishment of the terpenes profile of berries of different blue honeysuckle cultivars was achieved by headspace solid-phase microextraction coupled with comprehensive two-dimensional gas chromatography with time-of-flight mass spectrometry (HS-SPME/GCGC-TOFMS). The berries were found to contain 44 terpenes identified by GCGC-TOFMS....
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Second-order Stark effect and polarizability of a relativistic two-dimensional hydrogenlike atom in the ground state
PublicationThe second-order Stark effect for a planar Dirac one-electron atom in the ground state is analyzed within the framework of the Rayleigh-Schrödinger perturbation theory, with the use of the Sturmian series expansion of the generalized Dirac-Coulomb Green's function. A closed-form analytical expression for the static dipole polarizability of that system is found. The formula involves the generalized hypergeometric function ${}_{3}F_{2}$...
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Two-dimensional vertical analysis of dam-break flow
PublicationW artykule przedstawiono matematyczne modelowanie przepływów ze swobodną powierzchnią w kanałach otwartych. Do symulacji przepływu użyto dwuwymiarowy pionowy model RANS. Wchodzące w skład modelu równania Naviera-Stokesa rozwiązano stosując algorytm SIMPLE dla metody różnic skończonych. Do śledzenia zmian swobodnego zwierciadła wody zastosowano metodę MAC. Analizie poddano szybkozmienny przepływ po poziomym, gładkim dnie wywołany...
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Two-Boson Correlations in Various One-Dimensional Traps
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Two dimensional inverse method of turbomachinery stage design
PublicationW artykule przedstawion rys historyczny dotyczący modelu osiowo-symetrycznego w zastosowaniu do maszyn wirnikowych. Została sformułowana metoda rozwiązywania zadania odwrotnego polegaająca na znajdywaniu powierzchni będfącej obrazem łopatki w osiowo symetrycznym modelu maszyny wirnikowej. Zaprezentowano przykłady zastosowania tej metody w odniesieniu do łopatki kierowniczej turbiny, spreżarki promieniowej oraz pompo-turbiny.
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Impact of the Finite Element Mesh Structure on the Solution Accuracy of a Two-Dimensional Kinematic Wave Equation
PublicationThe paper presents the influence of the finite element mesh structure on the accuracy of the numerical solution of a two-dimensional linear kinematic wave equation. This equation was solved using a two-level scheme for time integration and a modified finite element method with triangular elements for space discretization. The accuracy analysis of the applied scheme was performed using a modified equation method for three different...
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Authenticity Assessment of the "Onisiówka" Nalewka Liqueurs Using Two-Dimensional Gas Chromatography and Sensory Evaluation
PublicationThe “Onisiówka” nalewka liqueur is a regional Polish alcoholic beverage, which is inscribed on the list of regional and traditional products of the Ministry of Agriculture and Rural Development in Poland. It is produced from multiflower honey, black elderberry flower syrup, and spirit. Due to fact that the “Onisiówka” nalewka liqueur has never been investigated, these studies are the foundation for further work on this regional...
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Identification of pollutants at the adjacent areas to the landfill site using two dimensional gas chromatography with mass spectrometry technique
PublicationMunicipal landfills are considered one of the main sources of air pollutants. In this article is presented the use of a modern analytical technique: a two dimensional gas chromatography to identify the substances in the atmospheric air near a waste processing plant located in Gdansk. In order to determine the types of substances occurring in different atmospheric conditions, the study was conducted from February to April 2016....