Geometric probability:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1978
|
| Schriftenreihe: | CBMS-NSF regional conference series in applied mathematics
28 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references Buffon needle problem, extensions, and estimation of pi -- Density and measure for random geometric elements -- Random lines in the plane and applications -- Covering a circle circumference and a sphere surface -- Crofton's theorem and Sylvester's problem in two and three dimensions -- Random chords in the circle and the sphere Topics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and rotation; the number of random line intersections in a plane and their angles of intersection; developments due to W.L. Stevens's ingenious solution for evaluating the probability that n random arcs of size a cover a unit circumference completely; the development of M.W. Crofton's mean value theorem and its applications in classical problems; and an interesting problem in geometrical probability presented by a karyograph |
| Beschreibung: | 1 Online-Ressource (vii, 172 Seiten) |
| ISBN: | 0898710251 9780898710250 |
| DOI: | 10.1137/1.9781611970418 |
Internformat
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Datensatz im Suchindex
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| author | Solomon, Herbert 1919-2004 |
| author_GND | (DE-588)119115956 |
| author_facet | Solomon, Herbert 1919-2004 |
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| id | DE-604.BV039747259 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| isbn | 0898710251 9780898710250 |
| language | English |
| lccn | 78108226 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024594790 |
| oclc_num | 873886182 |
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| owner | DE-91 DE-BY-TUM DE-29 DE-706 DE-83 DE-20 |
| owner_facet | DE-91 DE-BY-TUM DE-29 DE-706 DE-83 DE-20 |
| physical | 1 Online-Ressource (vii, 172 Seiten) |
| psigel | ZDB-72-SIA |
| publishDate | 1978 |
| publishDateSearch | 1978 |
| publishDateSort | 1978 |
| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
| record_format | marc |
| series | CBMS-NSF regional conference series in applied mathematics |
| series2 | CBMS-NSF regional conference series in applied mathematics |
| spelling | Solomon, Herbert 1919-2004 Verfasser (DE-588)119115956 aut Geometric probability Herbert Solomon Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1978 1 Online-Ressource (vii, 172 Seiten) txt rdacontent c rdamedia cr rdacarrier CBMS-NSF regional conference series in applied mathematics 28 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references Buffon needle problem, extensions, and estimation of pi -- Density and measure for random geometric elements -- Random lines in the plane and applications -- Covering a circle circumference and a sphere surface -- Crofton's theorem and Sylvester's problem in two and three dimensions -- Random chords in the circle and the sphere Topics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and rotation; the number of random line intersections in a plane and their angles of intersection; developments due to W.L. Stevens's ingenious solution for evaluating the probability that n random arcs of size a cover a unit circumference completely; the development of M.W. Crofton's mean value theorem and its applications in classical problems; and an interesting problem in geometrical probability presented by a karyograph Geometric probabilities Integralgeometrie (DE-588)4161911-0 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Geometrische Wahrscheinlichkeit (DE-588)4156727-4 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Geometrische Wahrscheinlichkeit (DE-588)4156727-4 s Integralgeometrie (DE-588)4161911-0 s DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 1\p DE-604 Geometrie (DE-588)4020236-7 s 2\p DE-604 Erscheint auch als Druck-Ausgabe, Paperback 0898710251 Erscheint auch als Druck-Ausgabe, Paperback 9780898710250 CBMS-NSF regional conference series in applied mathematics 28 (DE-604)BV046682627 28 https://doi.org/10.1137/1.9781611970418 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Solomon, Herbert 1919-2004 Geometric probability CBMS-NSF regional conference series in applied mathematics Geometric probabilities Integralgeometrie (DE-588)4161911-0 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Geometrische Wahrscheinlichkeit (DE-588)4156727-4 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4161911-0 (DE-588)4064324-4 (DE-588)4156727-4 (DE-588)4020236-7 |
| title | Geometric probability |
| title_auth | Geometric probability |
| title_exact_search | Geometric probability |
| title_full | Geometric probability Herbert Solomon |
| title_fullStr | Geometric probability Herbert Solomon |
| title_full_unstemmed | Geometric probability Herbert Solomon |
| title_short | Geometric probability |
| title_sort | geometric probability |
| topic | Geometric probabilities Integralgeometrie (DE-588)4161911-0 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Geometrische Wahrscheinlichkeit (DE-588)4156727-4 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Geometric probabilities Integralgeometrie Wahrscheinlichkeitsrechnung Geometrische Wahrscheinlichkeit Geometrie |
| url | https://doi.org/10.1137/1.9781611970418 |
| volume_link | (DE-604)BV046682627 |
| work_keys_str_mv | AT solomonherbert geometricprobability |