Stochastic Geometry: Selected Topics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
2004
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Stochastic geometry, based on current developments in geometry, probability and measure theory, makes possible modeling of two- and three-dimensional random objects with interactions as they appear in the microstructure of materials, biological tissues, macroscopically in soil, geological sediments etc. In combination with spatial statistics it is used for the solution of practical problems such as the description of spatial arrangements and the estimation of object characteristics. A related field is stereology, which makes possible inference on the structures, based on lower-dimensional observations. Unfolding problems for particle systems and extremes of particle characteristics are studied. The reader can learn about current developments in stochastic geometry with mathematical rigor on one hand and find applications to real microstructure analysis in natural and material sciences on the other hand |
| Beschreibung: | 1 Online-Ressource (XI, 221 p) |
| ISBN: | 9781402081033 9781402081026 |
| DOI: | 10.1007/b129604 |
Internformat
MARC
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| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Discrete groups | |
| 650 | 4 | |a Distribution (Probability theory) | |
| 650 | 4 | |a Statistics | |
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| 650 | 4 | |a Probability Theory and Stochastic Processes | |
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| 650 | 4 | |a Convex and Discrete Geometry | |
| 650 | 4 | |a Measure and Integration | |
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Datensatz im Suchindex
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| author | Beneš, Viktor |
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| author_facet | Beneš, Viktor |
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| author_sort | Beneš, Viktor |
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| classification_tum | MAT 000 |
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| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/b129604 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781402081033 9781402081026 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854676 |
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| spelling | Beneš, Viktor Verfasser aut Stochastic Geometry: Selected Topics by Viktor Beneš, Jan Rataj Boston, MA Springer US 2004 1 Online-Ressource (XI, 221 p) txt rdacontent c rdamedia cr rdacarrier Stochastic geometry, based on current developments in geometry, probability and measure theory, makes possible modeling of two- and three-dimensional random objects with interactions as they appear in the microstructure of materials, biological tissues, macroscopically in soil, geological sediments etc. In combination with spatial statistics it is used for the solution of practical problems such as the description of spatial arrangements and the estimation of object characteristics. A related field is stereology, which makes possible inference on the structures, based on lower-dimensional observations. Unfolding problems for particle systems and extremes of particle characteristics are studied. The reader can learn about current developments in stochastic geometry with mathematical rigor on one hand and find applications to real microstructure analysis in natural and material sciences on the other hand Mathematics Discrete groups Distribution (Probability theory) Statistics Surfaces (Physics) Probability Theory and Stochastic Processes Statistics, general Convex and Discrete Geometry Measure and Integration Characterization and Evaluation of Materials Mathematik Statistik Mikrostruktur (DE-588)4131028-7 gnd rswk-swf Strukturanalyse (DE-588)4183787-3 gnd rswk-swf Stochastische Geometrie (DE-588)4133202-7 gnd rswk-swf Stochastische Geometrie (DE-588)4133202-7 s Strukturanalyse (DE-588)4183787-3 s Mikrostruktur (DE-588)4131028-7 s 1\p DE-604 Rataj, Jan 1962- Sonstige (DE-588)1193677785 oth https://doi.org/10.1007/b129604 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Beneš, Viktor Stochastic Geometry: Selected Topics Mathematics Discrete groups Distribution (Probability theory) Statistics Surfaces (Physics) Probability Theory and Stochastic Processes Statistics, general Convex and Discrete Geometry Measure and Integration Characterization and Evaluation of Materials Mathematik Statistik Mikrostruktur (DE-588)4131028-7 gnd Strukturanalyse (DE-588)4183787-3 gnd Stochastische Geometrie (DE-588)4133202-7 gnd |
| subject_GND | (DE-588)4131028-7 (DE-588)4183787-3 (DE-588)4133202-7 |
| title | Stochastic Geometry: Selected Topics |
| title_auth | Stochastic Geometry: Selected Topics |
| title_exact_search | Stochastic Geometry: Selected Topics |
| title_full | Stochastic Geometry: Selected Topics by Viktor Beneš, Jan Rataj |
| title_fullStr | Stochastic Geometry: Selected Topics by Viktor Beneš, Jan Rataj |
| title_full_unstemmed | Stochastic Geometry: Selected Topics by Viktor Beneš, Jan Rataj |
| title_short | Stochastic Geometry: Selected Topics |
| title_sort | stochastic geometry selected topics |
| topic | Mathematics Discrete groups Distribution (Probability theory) Statistics Surfaces (Physics) Probability Theory and Stochastic Processes Statistics, general Convex and Discrete Geometry Measure and Integration Characterization and Evaluation of Materials Mathematik Statistik Mikrostruktur (DE-588)4131028-7 gnd Strukturanalyse (DE-588)4183787-3 gnd Stochastische Geometrie (DE-588)4133202-7 gnd |
| topic_facet | Mathematics Discrete groups Distribution (Probability theory) Statistics Surfaces (Physics) Probability Theory and Stochastic Processes Statistics, general Convex and Discrete Geometry Measure and Integration Characterization and Evaluation of Materials Mathematik Statistik Mikrostruktur Strukturanalyse Stochastische Geometrie |
| url | https://doi.org/10.1007/b129604 |
| work_keys_str_mv | AT benesviktor stochasticgeometryselectedtopics AT ratajjan stochasticgeometryselectedtopics |