Branching solutions to one-dimensional variational problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific
©2001
|
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (pages 323-329) and index This study deals with the new class of one-dimensional variational problems - the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) it investigates extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of finding the shortest network spanning given points of the plane |
| Physical Description: | 1 Online-Ressource (xxi, 342 pages) |
| ISBN: | 1281956368 9781281956361 9789810240608 9789812810717 9810240600 9812810714 |
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MARC
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| 500 | |a Includes bibliographical references (pages 323-329) and index | ||
| 500 | |a This study deals with the new class of one-dimensional variational problems - the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) it investigates extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of finding the shortest network spanning given points of the plane | ||
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| 650 | 7 | |a MATHEMATICS / Mathematical Analysis |2 bisacsh | |
| 650 | 7 | |a Extremal problems (Mathematics) |2 fast | |
| 650 | 7 | |a Steiner systems |2 fast | |
| 650 | 4 | |a Extremal problems (Mathematics) | |
| 650 | 4 | |a Steiner systems | |
| 650 | 0 | 7 | |a Steiner-Problem |0 (DE-588)4248342-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dimension 1 |0 (DE-588)4323094-5 |2 gnd |9 rswk-swf |
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Record in the Search Index
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| any_adam_object | |
| author | Ivanov, A. O., (Alexander O.) |
| author_facet | Ivanov, A. O., (Alexander O.) |
| author_role | aut |
| author_sort | Ivanov, A. O., (Alexander O.) |
| author_variant | a o a o i aoao aoaoi |
| building | Verbundindex |
| bvnumber | BV043080416 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)269468852 (DE-599)BVBBV043080416 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043080416 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:49Z |
| institution | BVB |
| isbn | 1281956368 9781281956361 9789810240608 9789812810717 9810240600 9812810714 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028504608 |
| oclc_num | 269468852 |
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| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xxi, 342 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific |
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| spelling | Ivanov, A. O., (Alexander O.) Verfasser aut Branching solutions to one-dimensional variational problems A.O. Ivanov & A.A. Tuzhilin Singapore World Scientific ©2001 1 Online-Ressource (xxi, 342 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 323-329) and index This study deals with the new class of one-dimensional variational problems - the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) it investigates extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of finding the shortest network spanning given points of the plane MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Extremal problems (Mathematics) fast Steiner systems fast Extremal problems (Mathematics) Steiner systems Steiner-Problem (DE-588)4248342-6 gnd rswk-swf Dimension 1 (DE-588)4323094-5 gnd rswk-swf Variationsproblem (DE-588)4187419-5 gnd rswk-swf Variationsproblem (DE-588)4187419-5 s Dimension 1 (DE-588)4323094-5 s 1\p DE-604 Steiner-Problem (DE-588)4248342-6 s 2\p DE-604 Tuzhilin, A. A. Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235934 Aggregator 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 | Ivanov, A. O., (Alexander O.) Branching solutions to one-dimensional variational problems MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Extremal problems (Mathematics) fast Steiner systems fast Extremal problems (Mathematics) Steiner systems Steiner-Problem (DE-588)4248342-6 gnd Dimension 1 (DE-588)4323094-5 gnd Variationsproblem (DE-588)4187419-5 gnd |
| subject_GND | (DE-588)4248342-6 (DE-588)4323094-5 (DE-588)4187419-5 |
| title | Branching solutions to one-dimensional variational problems |
| title_auth | Branching solutions to one-dimensional variational problems |
| title_exact_search | Branching solutions to one-dimensional variational problems |
| title_full | Branching solutions to one-dimensional variational problems A.O. Ivanov & A.A. Tuzhilin |
| title_fullStr | Branching solutions to one-dimensional variational problems A.O. Ivanov & A.A. Tuzhilin |
| title_full_unstemmed | Branching solutions to one-dimensional variational problems A.O. Ivanov & A.A. Tuzhilin |
| title_short | Branching solutions to one-dimensional variational problems |
| title_sort | branching solutions to one dimensional variational problems |
| topic | MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Extremal problems (Mathematics) fast Steiner systems fast Extremal problems (Mathematics) Steiner systems Steiner-Problem (DE-588)4248342-6 gnd Dimension 1 (DE-588)4323094-5 gnd Variationsproblem (DE-588)4187419-5 gnd |
| topic_facet | MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Extremal problems (Mathematics) Steiner systems Steiner-Problem Dimension 1 Variationsproblem |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235934 |
| work_keys_str_mv | AT ivanovaoalexandero branchingsolutionstoonedimensionalvariationalproblems AT tuzhilinaa branchingsolutionstoonedimensionalvariationalproblems |