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total: 376
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Search results for: GRADIENT MAP, PROPER MAP, HOMOTOPY.
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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 quadratic map as a function of the critical neighborhood size
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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SEM image and EDS map of SrTi0.50Fe0.50O3-d powder aglomerate
Open Research DataThis dataset contains image of the SrTi0.50Fe0.50O3-d powder aglomerate with EDS map analysis results. Images were obtained using a PhenomXL (Thermo Fisher Scientific, the Netherlands) scanning electron microscope (SEM) with an accelerating voltage of 10 kV in a high vacuum mode. The chemical compositions of the investigated powder were determined...
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SEM image and EDS map of SrTi0.65Fe0.35O3-d powder aglomerate
Open Research DataThis dataset contains image of the SrTi0.65Fe0.35O3-d powder aglomerate with EDS map analysis results. Images were obtained using a PhenomXL (Thermo Fisher Scientific, the Netherlands) scanning electron microscope (SEM) with an accelerating voltage of 10 kV in a high vacuum mode. The chemical compositions of the investigated powder were determined...
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SEM image and EDS map of SrTi0.30Fe0.70O3-d powder aglomerate
Open Research DataThis dataset contains image of the SrTi0.30Fe0.70O3-d powder aglomerate with EDS map analysis results. Images were obtained using a PhenomXL (Thermo Fisher Scientific, the Netherlands) scanning electron microscope (SEM) with an accelerating voltage of 10 kV in a high vacuum mode. The chemical compositions of the investigated powder were determined...
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Uniform expansion estimates in the quadratic map as a function of the parameter, with a large range of parameters
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 quadratic map as a function of the parameter, with a small critical neighborhood
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 quadratic map as a function of the parameter, with a very small critical neighborhood
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 quadratic map as a function of the partition size, using Johnson’s algorithm
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 quadratic map as a function of the partition size, computing λ only
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 quadratic map as a function of the parameter, using the “uniform” partition type
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 quadratic map as a function of the parameter, using the “critical” partition type
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 quadratic map as a function of the parameter, using the “derivative” partition type
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 quadratic map as a function of the partition size, using the “derivative” partition type
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 quadratic map as a function of the partition size, using the “critical” partition type
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 quadratic map as a function of the partition size, using the Floyd–Warshall algorithm
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 quadratic map with the smallest critical neighborhood for which the expansion exponent λ0 is positive
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 quadratic map with the smallest critical neighborhood for which the expansion exponent λ is positive
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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SEM image and EDS map of SrTi0.50Fe0.50O3-d porous electrode sintered at 800 °C
Open Research DataThis dataset contains image of the SrTi0.50Fe0.50O3-d porous electrode sintered at 800 °C with EDS map analysis results. This study were performed for better understanding the chemical composition of flat like structures that occurs in electrode. Images were obtained using a PhenomXL (Thermo Fisher Scientific, the Netherlands) scanning electron microscope...
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Uniform expansion estimates in the quadratic map with the smallest critical neighborhood for which the expansion exponent λ0 is greater than 0.1
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 quadratic map with the smallest critical neighborhood for which the expansion exponent λ is greater than 0.1
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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Dynamics of S-unimodal maps used in population modeling.
Open Research DataS-unimodal maps are maps of the interval with negative Schwarzian derivative and having only one turning point (such that the map is increasing to the left of the turning point and decreasing to the right of it). Theory of S-unimodal maps is now a well-developed branch of discrete dynamical systems, including famous Singer theorem which implies existence...
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Parameter values for topological chaos in the reduced Chialvo model
Open Research DataThe following dataset is connected with a map-based neuron model introduced by D. Chialvo (Chaos, Solitons & Fractals, 5 (3-4) 1995). The reduced version of this model is a one dimensional discrete system which describes the evolution of the membrane voltage when the value of the second variable, the recovery variable, is fixed. We have recently...
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Interaction of PDA monomers with Au
Open Research DataThis dataset contains supplementary information in the form of Electrostatic difference potential (EDP) map, density of states (DOS) spectra, and adsorption geometries of polydopamine PDA monomers on the Au surface. PDA was modelled either as the oxidised (indolequinone, IQ) and reduced (dihydroxyindole, DHI) chemistries.
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Minimal number of periodic points for smooth self-maps of simply-connected manifolds
Open Research DataThe problem of finding the minimal number of periodic points in a given class of self-maps of a space is one of the central questions in periodic point theory. We consider a closed smooth connected and simply-connected manifold of dimension at least 4 and its self-map f. The topological invariant D_r[f] is equal to the minimal number of r-periodic points...
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Hydrological predictors used for vegetation modelling in the lower Biebrza valley 1900-2099
Open Research DataThis data set contains hydrological predictors used for vegetation modelling in the lower Biebrza valley, NE Poland.The predictors were obtained from simulations using integrated hydrological model - HydroGeoSphere, with the Hydraulic Mixing-Cell method.Forcing data for the model were Twentieth Century Reanalysis (20CR) data for the period 1900-2015...
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The rovibrational energy levels of the diatomic silver anion and neutral silver dimer
Open Research DataThe process of a two-channel decay of the diatomic silver anion (Ag2-), namely the spontaneous electron ejection giving Ag2 + e- and the dissociation leading to Ag- + Ag is theoretically studied. The ground state potential energy curves (PECs) of the neutral silver dimer and anionic silver diatomic molecule are calculated using the single reference...
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Inventory of the existing pavement of sidewalks and roads in the Gdańsk-Oliwa district, with particular emphasis on the location of the "Polanki" market and its direct neighbourhood, stage from 2019 year.
Open Research DataThe document presents short description and a list of paved surfaces (sidewalks and roads) in the Gdańsk-Oliwa district, in the form of tables with a description of the street and materials used. The description consists of 21 tables: one table for each street. The description is mostly supplemented with photographic material. The area of the inventory...
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Automatically created and partially veriffied Wikipedia - WordNet mappings
Open Research DataMapping between Wikipedia articles and WordNet synsets. The mappings between Wikipedia articles and WordNet synsets were obtained automatically using 4 algorithms of data processing. The automatically generated mappings were than a subject of verification by a group of volunteers using crowdsourcing approach through so called Games with a Purpose. The...
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The generalization by simplification operator with the Simplify Building tool of objects representing groups of buildings in Gdańsk district - scale 1:10000. Data from OSM
Open Research DataThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the Open Street Map databases (OSM) [1].
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The generalization of objects representing groups of buildings in the Kartuzy district by simplification operator with the Simplify Building tool - scale 1:10000. Data from OSM.
Open Research DataThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the Open Street Map databases (OSM) [1].
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Estimates for minimal number of periodic points for smooth self-maps of simply-connected manifolds
Open Research DataWe consider a closed smooth connected and simply-connected manifold of dimension at least 4 and its self-map f. The topological invariant Dr[f] is equal to the minimal number of r-periodic points in the smooth homotopy class of f. We assume that r is odd and all coefficients b(k) of so-called periodic expansion of Lefschetz numbers of iterations are...
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Data on bicycle traffic in Gdansk paired with weather and air quality data
Open Research DataThe file contains data on bicycle traffic registered by counting stations loacted in Gdańsk in the years 2013-2020. The data are paired with weather and air quality data from Gdansk collected for the same period. The data is described below:
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Data on bicycle traffic in Lodz (Poland) paired with weather and air quality data
Open Research DataThe file contains data on bicycle traffic registered by counting stations loacted in Lodz in the years 2016-2019. The data are paired with weather and air quality data from Lodz collected for the same period. The data is described below:
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Analysis of spatial changes in the town of Puck with its surroundings in the years 1926, 1940, 1974, 1985, 2000, 2020 on the basis of topographic maps using the BDOT10K database
Open Research DataSpatial changes over time are extremely valuable due to the possibility of modeling forecasts. This dataset shows how Puck has evolved over a specific period of time. Thanks to this presentation of the data set, it is possible to easily recreate the appearance of the city in particular years.
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The generalization by simplification operator with Sester’s method of objects representing groups of buildings in Gdańsk district - scale 1:10000. Data from OSM
Open Research DataThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the Open Street Map databases (OSM) [1].
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Dynamic impedance spectra of programmable dynamically changing RC model based on digital potentiometers
Open Research DataThe dataset presents non-stationary impedance spectra of the RC model presented in the figure below. This model contains two digital potentiometers controlled digitally by the microcontroller. This solution allows to programmably control the value of the model impedance. Thanks to this, the model can be used as a test engine for evaluation of the dynamic...
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The generalization by simplification operator with Sester’s method of objects representing groups of buildings in Kartuzy district - scale 1:10000. Data from OSM
Open Research DataThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the Open Street Map databases (OSM) [1].
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The generalization by simplification operator with Chrobak’s method of objects representing groups of buildings in Gdańsk district - scale 1:10000. Data from OSM
Open Research DataThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the Open Street Map databases (OSM) [1].
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The generalization by simplification operator with Chrobak’s method of objects representing groups of buildings in Kartuzy district - scale 1:10000. Data from OSM.
Open Research DataThe process of automatic generalization is one of the elements of spatial data preparation for the purpose of creating digital cartographic studies. The presented data include a part of the process of generalization of building groups obtained from the Open Street Map databases (OSM) [1].
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Database of the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms of a connected sum of g real projective planes.
Open Research DataMorse–Smale diffeomorphisms, structurally stable and having relatively simple dynamics, constitute an important subclass of diffeomorphisms that were carefully studied during past decades. For a given Morse–Smale diffeomorphism one can consider “Minimal set of Lefschetz periods”, which provides the information about the set of periodic points of considered...
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The database of odd algebraic periods for quasi-unipotent self-maps of a space having the same homology group as the connected sum of g tori
Open Research DataThe dataset consists of 20 files indexed by numbers g=1,...,20. Each file provides sets of odd algebraic periods for all quasi-unipotent self-maps of a space having the same homology groups as the connected sum of g tori. Let us remark that each data set covers all algebraical restrictions that come from zeta functions for the sets of minimal Lefschetz...
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Conley-Morse graphs for a two-dimensional discrete neuron model (low resolution)
Open Research DataThis dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper “Topological-numerical analysis of a two-dimensional discrete neuron model” by Paweł Pilarczyk, Justyna Signerska-Rynkowska and Grzegorz Graff. A preprint of this paper is available at https://doi.org/10.48550/arXiv.2209.03443.
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Conley-Morse graphs for a two-dimensional discrete neuron model (limited range)
Open Research DataThis dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper “Topological-numerical analysis of a two-dimensional discrete neuron model” by Paweł Pilarczyk, Justyna Signerska-Rynkowska and Grzegorz Graff. A preprint of this paper is available at https://doi.org/10.48550/arXiv.2209.03443.
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Conley-Morse graphs for a two-dimensional discrete neuron model (full range)
Open Research DataThis dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper “Topological-numerical analysis of a two-dimensional discrete neuron model” by Paweł Pilarczyk, Justyna Signerska-Rynkowska and Grzegorz Graff. A preprint of this paper is available at https://doi.org/10.48550/arXiv.2209.03443.
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Video DATA - Traffic generation modeling for discount shops - Chrobrego Street
Open Research DataThe data includes video traffic data (vehicles, pedestrians, cyclists) registered at 75 Chrobrego street in Gdansk. The data covers the day 01.10.2020 at 6:00-22:00. The video camera was installed at the parking area belonging to the discount store Lidl. The data obtained was used in analysis, providing information about the modal split, the number...
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Video DATA - Traffic generation modeling for discount shops - Czerska Street
Open Research DataThe data includes video traffic data (vehicles, pedestrians, cyclists) registered at 71 Czerska street in Gdansk. The data covers the day 01.10.2020 at 6:00-22:00. The video camera was installed at the parking area belonging to the discount store Lidl. The data obtained was used in analysis, providing information about the modal split, the number of...
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Video DATA - Traffic generation modeling for discount shops - Gdanska Street
Open Research DataThe data includes video traffic data (vehicles, pedestrians, cyclists) registered at 21C Gdanska street in Gdansk. The data covers the day 01.10.2020 at 6:00-22:00. The video camera was installed at the parking area belonging to the discount store Lidl. The data obtained was used in analysis, providing information about the modal split, the number of...