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Search results for: bimodal smooth maps
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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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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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Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simply-connected manifolds of dimension 4 and homology groups with the sum of ranks less or equal to10
Open Research DataAn important problem in periodic point theory is minimization of the number of periodic points with periods <= r in a given class of self-maps of a space. A closed smooth and simply-connected manifolds of dimension 4 and its self-maps f with periodic sequence of Lefschetz numbers are considered. The topological invariant Jr[f] is equal to the minimal...
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Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simply-connected manifolds of dimension 6 and homology groups with the sum of ranks less or equal to10
Open Research DataAn important problem in periodic point theory is minimization of the number of periodic points with periods <= r in a given class of self-maps of a space. A closed smooth and simply-connected manifolds of dimension 6 and its self-maps f with periodic sequence of Lefschetz numbers are considered. The topological invariant Jr[f] is equal to the minimal...
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Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simply-connected manifolds of dimension 5 and homology groups with the sum of ranks less or equal to10
Open Research DataAn important problem in periodic point theory is minimization of the number of periodic points with periods <= r in a given class of self-maps of a space. A closed smooth and simply-connected manifolds of dimension 5 and its self-maps f with periodic sequence of Lefschetz numbers are considered. The topological invariant Jr[f] is equal to the minimal...
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Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simply-connected manifolds of dimension 8 and homology groups with the sum of ranks less or equal to 10
Open Research DataAn important problem in periodic point theory is minimization of the number of periodic points with periods <= r in a given class of self-maps of a space. A closed smooth and simply-connected manifolds of dimension 8 and its self-maps f with periodic sequence of Lefschetz numbers are considered. The topological invariant Jr[f] is equal to the minimal...
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Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simply-connected manifolds of dimension 7 and homology groups with the sum of ranks less or equal to10
Open Research DataAn important problem in periodic point theory is minimization of the number of periodic points with periods <= r in a given class of self-maps of a space. A closed smooth and simply-connected manifolds of dimension 7 and its self-maps f with periodic sequence of Lefschetz numbers are considered. The topological invariant Jr[f] is equal to the minimal...
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Stochastic intervals for the family of quadratic maps
Open Research DataNumerical analysis of chaotic dynamics is a challenging task. The one-parameter families of logistic maps and closely related quadratic maps f_a(x)=a-x^2 are well-known examples of such dynamical systems. Determining parameter values that yield stochastic-like dynamics is especially difficult, because although this set has positive Lebesgue measure,...
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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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The EDS elemental maps of reduced LSCNT (SEM)
Open Research DataThe dataset includes elemental maps of La, Ce, Ti, O, Sr, Ni in La0.27Sr0.54Ce0.09Ni0.1Ti0.9O3-s produced using Pechini method sintered at 1200oC under air atmosphere and reduced at 900 for 12 h in wet H2.
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Magnetic field maps of an astable multivibrator in frequency range from 100 kHz to 50 MHz
Open Research DataThe data presents a result of near field measurements of electromagnetic emissions radiated from the PCB of a small electronic device. An efficient method of modelling the magnetic and electric field emissions is the measurements in the near field using electric and magnetic probes. The attached files contain magnetic field maps created on based measurements...
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Electric field maps of an astable multivibrator in frequency range from 30 MHz to 3 GHz
Open Research DataThe data presents a result of near field measurements of electromagnetic emissions radiated from the PCB of a small electronic device. An efficient method of modelling the magnetic and electric field emissions is the measurements in the near field using electric and magnetic probes. The attached files contain electric field maps created on based measurements...
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Magnetic field maps of an astable multivibrator in frequency range from 30 MHz to 3 GHz – spatial detection
Open Research DataThe data presents a result of near field measurements of electromagnetic emissions radiated from the PCB of a small electronic device. An efficient method of modelling the magnetic and electric field emissions is the measurements in the near field using electric and magnetic probes. The attached files contain magnetic field maps created on based measurements...
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Magnetic field maps of an astable multivibrator in frequency range from 30 MHz to 3 GHz – selective detection
Open Research DataThe data presents a result of near field measurements of electromagnetic emissions radiated from the PCB of a small electronic device. An efficient method of modelling the magnetic and electric field emissions is the measurements in the near field using electric and magnetic probes. The attached files contain magnetic field maps created on based measurements...
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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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Results and models for Novel high frequency components with non-conventional shape employing smooth geometry deformation of 3D solid with FFD
Open Research DataThe project aims to investigate the possibility of developing and manufacturing novel high frequency devices having non-standard geometries, allowing for improved electromagnetic performance over what is achievable with currently available design tools. The non-conventional geometry will be obtained by employing the free-form shape deformation technique...
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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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Interactions of PDA tetramers with the Au surfaces
Open Research DataThis dataset contains electrostatic difference potential (EDP) maps, density of states (DOS) spectra, and adsorption geometries of cyclic tetramers on the Au surface. The real polydopamine was modelled either as the cyclic tetramers in the oxidised (indolequinone, IQ) and reduced (dihydroxyindole, DHI) chemistries with all units being the same - either...
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Supramolecular junctions of the PDA tetramers
Open Research DataIn this dataset, a set of polydopamine (PDA) supramolecular junctions with linear and cyclic tetramers in different oxidation states (indolequinone , IQ or dihydroxyindole, DHI) in the scattering region are investigated. Electronic structure of the supramolecular junction with cyclic and linear PDA tetramers, including Electron density maps for the...
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Monthly mean sea surface temperature (SST) of the Baltic Sea
Open Research DataMonthly mean sea surface temperature (SST) from 2001 to 2022 calculated from data from the SatBaltic System (https://satbaltyk.iopan.gda.pl/). The spatial resolution of the maps is 1 km. The calculation of monthly mean values at each pixel was based on four SST maps on each day of the month. The primary source of SST information was satellite data collected...
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The AFM micrographs of austenitic stainless steel subjected to sensitization for intergranular corrosion
Open Research DataThe dataset contains atomic force microscopy (AFM) maps of topographic images of austenitic steel samples subjected to sensitization to the process of intergranular corrosion. Precipitations of carbides as well as other intermetallic phases can be observed and detected before the fragments of structures sensitized by improper thermal treatment are exposed...
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Harmonic Analysis
Open Research DataWe construct a decomposition of the identity operator on a Riemannian manifold M as a sum of smooth orthogonal projections subordinate to an open cover of M. This extends a decomposition on the real line by smooth orthogonal projection due to Coifman and Meyer (C. R. Acad. Sci. Paris, Sér. I Math., 312(3), 259–261 1991) and Auscher, Weiss, Wickerhauser...
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Monthly mean concentration of chlorophyll a on the sea surface of the Baltic Sea
Open Research DataMonthly mean surface concentration of chlorophyll a in the years 2003-2022 calculated on the basis of data from the SatBaltic System (https://satbaltyk.iopan.gda.pl/). Maps of monthly average values with a resolution of 1 km were derived from daily satellite data from the Moderate Resolution Imaging Spectroradiometer (MODIS). Gaps in satellite images...
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The scanning spreading resistance microscopy (SSRM) of some CoCrMo alloys subjected to electrochemical litography
Open Research DataThe dataset contains the results of the experiment consisting of performing electrochemical lithography on the surface of the CoCrMo prosthetic alloy. First, by applying local anodic polarization, oxide structures were created on the surface of the material. Next, they were imaged in the SSRM (scanning spreading resistance microscopy) mode to visualize...
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The exemplary Kelvin probe microscopy studies of sensitized austenitic stainless steels
Open Research DataThe dataset summarizes the results of imaging the surface potential distribution using the Kelvin probe scanning technique. Due to the fact that the potential measured in this way is proportional to the electrochemical potential of metals or intermetallic phases, it is possible to assess the nobility differences of various alloy components. In the case...
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The scanning tunnelling micrographs of highly oriented pyrolytic graphite
Open Research DataThe dataset contains the results imaging of a sample of highly oriented pyrolytic graphite obtained using scanning tunneling microscopy. The above variant of scanning probe microscopy is one of the most convenient research techniques at atomic scales. The file contains images corresponding to increasing magnifications from the 1 um scale to a few nanometers....
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Database of algebraic periods of quasi-unipotent orientation-preserving homeomorphisms of orientable surfaces
Open Research DataThe set of algebraic periods of a map contains important information about periodic points and, in addition, is a homotopy invariant of the map. It is determined by indices of nonzero Dold coefficients which are computed purely algebraically from maps induced on homology groups of a considered space. In this dataset, we include for a given g=1,2,...,30,...
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Sea surface temperature in the Baltic Sea derived from Landsat 8 satellite data - path 194
Open Research DataThe data set contains high resolution sea surface temperature (SST) maps estimated from Landsat 8 Level 1 Thermal Infrared Sensor (TIRS) data using NLSST algorithm. SST was calculated only for granules (185 x 180 km) from satellite path number 194, that covered at least 2000 km2 of the cloud-free area of the Baltic Sea.
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Sea surface temperature in the Baltic Sea derived from Landsat 8 satellite data - path 192
Open Research DataThe data set contains high resolution sea surface temperature (SST) maps estimated from Landsat 8 Level 1 Thermal Infrared Sensor (TIRS) data using NLSST algorithm. SST was calculated only for granules (185 x 180 km) from satellite path number 192, that covered at least 2000 km2 of the cloud-free area of the Baltic Sea.
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Sea surface temperature in the Baltic Sea derived from Landsat 8 satellite data - path 191
Open Research DataThe data set contains high resolution sea surface temperature (SST) maps estimated from Landsat 8 Level 1 Thermal Infrared Sensor (TIRS) data using NLSST algorithm. SST was calculated only for granules (185 x 180 km) from satellite path number 191, that covered at least 2000 km2 of the cloud-free area of the Baltic Sea.
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Sea surface temperature in the Baltic Sea derived from Landsat 8 satellite data - path 193
Open Research DataThe data set contains high resolution sea surface temperature (SST) maps estimated from Landsat 8 Level 1 Thermal Infrared Sensor (TIRS) data using NLSST algorithm. SST was calculated only for granules (185 x 180 km) from satellite path number 193, that covered at least 2000 km2 of the cloud-free area of the Baltic Sea.
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Sea surface temperature in the Baltic Sea derived from Landsat 8 satellite data - path 190
Open Research DataThe data set contains high resolution sea surface temperature (SST) maps estimated from Landsat 8 Level 1 Thermal Infrared Sensor (TIRS) data using NLSST algorithm. SST was calculated only for granules (185 x 180 km) from satellite path number 190, that covered at least 2000 km2 of the cloud-free area of the Baltic Sea.
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Atomic force microscopy images of copper electrical contacts wear under the influence of friction
Open Research DataMeasurement of wear of copper electrical contacts under the influence of friction. Imaging in contact mode in the variant of scanning spreading resistance microscopy. Additionally, there are spectroscopic current-voltage curves showing local changes in electrical conductivity. NTEGRA Prima (NT-MDT) device. Probe NSG 01Pt.
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AFM visualization of Mg alloy surface modification
Open Research DataMagnesium alloys with additives improving their mechanical properties are valued as materials with low density and elasticity coefficient. Additionally, their biocompatibility and biodegradability make them interesting in prosthetic applications. However, the last of these features, valuable in medicine, contradicts the industrial needs for the described...
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SkinDepth - synthetic 3D skin lesion database
Open Research DataSkinDepth is the first synthetic 3D skin lesion database. The release of SkinDepth dataset intends to contribute to the development of algorithms for:
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3D point cloud as a representation of buildings: the Nanotechnology Center and the Auditorium Novum
Open Research DataThe product presents the point cloud in the collection of a three-dimensional database in spatial order as the representations of the Nanotechnology Center and the Auditorium Novum buildings (located on the campus of the Gdańsk University of Technology) acquired in the laser scanning technology. According to its high accuracy and precision of data acquisition...
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Morphology and conductivity investigations of nickel-molybdenium alloy by means of Scanning Spreading Resistance Microscopy
Open Research DataElectrolytically deposited nickel-molybdenum alloys are interesting materials because of their high corrosion resistance and low over-potential for hydrogen evolution. Despite many studies devoted to the deposition of these alloys, the mechanism of co-deposition is not fully understood [1]. The aim of the research was to preserve the electrochemically...
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Functional and spatial structure analysis – Lower Sopot (Dolny Sopot) district case study, study proposal no 1, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 1, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Lower Sopot (Dolny Sopot) district in the...
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Functional and spatial structure analysis – Lower Sopot (Dolny Sopot) district case study, study proposal no 2, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 2, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Lower Sopot (Dolny Sopot) district in the...
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Functional and spatial structure analysis – Lower Sopot (Dolny Sopot) district case study, study proposal no 4, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 4, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Lower Sopot (Dolny Sopot) district in the...
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Functional and spatial structure analysis – Lower Sopot (Dolny Sopot) district case study, study proposal no 3, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 3, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Lower Sopot (Dolny Sopot) district in the...
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Functional and spatial structure analysis – Lower Sopot (Dolny Sopot) district case study, study proposal no 5, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 5, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Lower Sopot (Dolny Sopot) district in the...
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Functional and spatial structure analysis – Lower Sopot (Dolny Sopot) district case study, study proposal no 6, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 6, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Lower Sopot (Dolny Sopot) district in the...
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Functional and spatial structure analysis – Gdańsk-Lower City (Dolne Miasto) district case study, study proposal no 2, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Gdańsk-Lower City (Dolne Miasto) district, study proposal no 2, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Gdańsk-Lower City (Dolne Miasto) district...
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Functional and spatial structure analysis – Gdańsk-Lower City (Dolne Miasto) district case study, study proposal no 3, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Gdańsk-Lower City (Dolne Miasto) district, study proposal no 3, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Gdańsk-Lower City (Dolne Miasto) district...
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Functional and spatial structure analysis – Gdańsk-Lower City (Dolne Miasto) district case study, study proposal no1, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Gdańsk-Lower City (Dolne Miasto) district, study proposal no 1, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Gdańsk-Lower City (Dolne Miasto) district...
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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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Vision of the development of transformations in the district – Lower Sopot (Dolny Sopot) district case study, study proposal no 1, April 2021
Open Research DataThe data presents results of work within the studies of the vision of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 1, from April 2021. The goal of the research process was to present the future image of the neighborhood and initial ideas of the development of transformations of the area located in Lower...
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Vision of the development of transformations in the district – Lower Sopot (Dolny Sopot) district case study, study proposal no 3, April 2021
Open Research DataThe data presents results of work within the studies of the vision of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 3, from April 2021. The goal of the research process was to present the future image of the neighborhood and initial ideas of the development of transformations of the area located in Lower...
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Vision of the development of transformations in the district – Lower Sopot (Dolny Sopot) district case study, study proposal no 4, April 2021
Open Research DataThe data presents results of work within the studies of the vision of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 4, from April 2021. The goal of the research process was to present the future image of the neighborhood and initial ideas of the development of transformations of the area located in Lower...