Search results for "SPACE"

showing 10 items of 21658 documents

Visible parts of fractal percolation

2009

We study dimensional properties of visible parts of fractal percolation in the plane. Provided that the dimension of the fractal percolation is at least 1, we show that, conditioned on non-extinction, almost surely all visible parts from lines are 1-dimensional. Furthermore, almost all of them have positive and finite Hausdorff measure. We also verify analogous results for visible parts from points. These results are motivated by an open problem on the dimensions of visible parts.

28A80Plane (geometry)General MathematicsOpen problemProbability (math.PR)Mathematical analysisFractalDimension (vector space)Mathematics - Classical Analysis and ODEsPercolationHausdorff dimensionClassical Analysis and ODEs (math.CA)FOS: MathematicsHausdorff measureAlmost surelyMathematics - ProbabilityMathematics
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The richest superclusters : I Morphology

2007

We study the morphology of the richest superclusters from the catalogues of superclusters of galaxies in the 2dF Galaxy Redshift Survey and compare the morphology of real superclusters with model superclusters in the Millennium Simulation. We use Minkowski functionals and shapefinders to quantify the morphology of superclusters: their sizes, shapes, and clumpiness. We generate empirical models of simple geometry to understand which morphologies correspond to the supercluster shapefinders. We show that rich superclusters have elongated, filamentary shapes with high-density clumps in their core regions. The clumpiness of superclusters is determined using the fourth Minkowski functional $V_3$.…

2dF Galaxy Redshift SurveyPhysicsMorphology (linguistics)Large-scale structure of UniverseMinkowski functionalAstrophysics (astro-ph)FOS: Physical sciencesAstronomy and AstrophysicsAstrophysicsGalaxiesAstrophysicsUNESCO::ASTRONOMÍA Y ASTROFÍSICA:ASTRONOMÍA Y ASTROFÍSICA::Cosmología y cosmogonia [UNESCO]GalaxyCosmologyClustersSpace and Planetary ScienceSuperclusterMinkowski spaceUNESCO::ASTRONOMÍA Y ASTROFÍSICA::Cosmología y cosmogonia:ASTRONOMÍA Y ASTROFÍSICA [UNESCO]Cosmology ; Large-scale structure of Universe ; Galaxies ; Clusters
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Multi-scale morphology of the galaxy distribution

2006

Many statistical methods have been proposed in the last years for analyzing the spatial distribution of galaxies. Very few of them, however, can handle properly the border effects of complex observational sample volumes. In this paper, we first show how to calculate the Minkowski Functionals (MF) taking into account these border effects. Then we present a multiscale extension of the MF which gives us more information about how the galaxies are spatially distributed. A range of examples using Gaussian random fields illustrate the results. Finally we have applied the Multiscale Minkowski Functionals (MMF) to the 2dF Galaxy Redshift Survey data. The MMF clearly indicates an evolution of morpho…

2dF Galaxy Redshift SurveyPhysicsRandom fieldScale (ratio)GaussianAstrophysics (astro-ph)FOS: Physical sciencesAstronomy and AstrophysicsAstrophysicsAstrophysics::Cosmology and Extragalactic AstrophysicsAstrophysicsGalaxysymbols.namesakeDistribution (mathematics)Space and Planetary ScienceMinkowski spaceRange (statistics)symbols
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CCDC 784160: Experimental Crystal Structure Determination

2011

Related Article: R.Francke, G.Schnakenburg, S.R.Waldvogel|2010|Org.Lett.|12|4288|doi:10.1021/ol101698a

33'44'55'-Hexafluorobiphenyl-22'-diolSpace GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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CCDC 1908608: Experimental Crystal Structure Determination

2019

Related Article: Clève D. Mboyi, Delphine Vivier, Ahmad Daher, Paul Fleurat-Lessard, Hélène Cattey, Charles H. Devillers, Claire Bernhard, Franck Denat, Julien Roger, Jean-Cyrille Hierso|2020|Angew.Chem.,Int.Ed.|59|1149|doi:10.1002/anie.201911947

33'-([11'-biphenyl]-22'-diyl)bis[6-(2-fluorophenyl)-1245-tetrazine]Space GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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CCDC 962106: Experimental Crystal Structure Determination

2017

Related Article: B. Elsler, D. Schollmeyer, S. R. Waldvogel|2014|Faraday Discuss.|172|413|doi:10.1039/C4FD00049H

33'-di-t-butyl-55'-dimethoxybiphenyl-22'-diolSpace GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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CCDC 956780: Experimental Crystal Structure Determination

2013

Related Article: M. Lahtinen, K. Nättinen and S. Nummelin|2013|Acta Crystallogr.,Sect.E:Struct.Rep.Online|69|o810|doi:10.1107/S1600536813010969

345-Trimethoxy-4'-methylbiphenylSpace GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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CCDC 935635: Experimental Crystal Structure Determination

2013

Related Article: M.Lahtinen,K.Nattinen,S.Nummelin|2013|Acta Crystallogr.,Sect.E:Struct.Rep.Online|69|o510|doi:10.1107/S1600536813006053

35-Dimethoxy-4'-methylbiphenylSpace GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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CCDC 891057: Experimental Crystal Structure Determination

2012

Related Article: G.Bentabed-Ababsa, S.Hamza-Reguig, A.Derdour, L.R.Domingo, J.A.Saez, T.Roisnel, V.Dorcet, E.Nassar, F.Mongin|2012|Org.Biomol.Chem.|10|8434|doi:10.1039/c2ob26442k

35-Diphenylfuran-22(5H)-dicarbonitrileSpace GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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CCDC 2077766: Experimental Crystal Structure Determination

2022

Related Article: Aija Trimdale, Anatoly Mishnev, Agris Bērziņš|2021|Pharmaceutics|13|734|doi:10.3390/pharmaceutics13050734

35-dihydroxybenzoic acid tetrahydrofuran solvateSpace GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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