Branching solutions to one-dimensional variational problems:
This book 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) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various ap...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2001
|
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | This book 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) we investigate 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 |
| Beschreibung: | xxi, 342 p. ill |
| ISBN: | 9789812810717 |
Internformat
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| 100 | 1 | |a Ivanov, A. O. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Branching solutions to one-dimensional variational problems |c A.O. Ivanov & A.A. Tuzhilin |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c2001 | |
| 300 | |a xxi, 342 p. |b ill | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b cr |2 rdacarrier | ||
| 520 | |a This book 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) we investigate 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 | ||
| 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 Variationsproblem |0 (DE-588)4187419-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dimension 1 |0 (DE-588)4323094-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Variationsproblem |0 (DE-588)4187419-5 |D s |
| 689 | 0 | 1 | |a Dimension 1 |0 (DE-588)4323094-5 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Steiner-Problem |0 (DE-588)4248342-6 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Tuzhilin, A. A. |e Sonstige |4 oth | |
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| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9810240600 |
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Datensatz im Suchindex
| _version_ | 1804178050085027840 |
|---|---|
| any_adam_object | |
| author | Ivanov, A. O. |
| author_facet | Ivanov, A. O. |
| author_role | aut |
| author_sort | Ivanov, A. O. |
| author_variant | a o i ao aoi |
| building | Verbundindex |
| bvnumber | BV044636130 |
| classification_rvk | SK 660 SK 890 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00004305 (OCoLC)881298951 (DE-599)BVBBV044636130 |
| 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.BV044636130 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:48Z |
| institution | BVB |
| isbn | 9789812810717 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030034102 |
| oclc_num | 881298951 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xxi, 342 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | World Scientific Pub. Co. |
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| spelling | Ivanov, A. O. Verfasser aut Branching solutions to one-dimensional variational problems A.O. Ivanov & A.A. Tuzhilin Singapore World Scientific Pub. Co. c2001 xxi, 342 p. ill txt rdacontent c rdamedia cr rdacarrier This book 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) we investigate 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 Extremal problems (Mathematics) Steiner systems Steiner-Problem (DE-588)4248342-6 gnd rswk-swf Variationsproblem (DE-588)4187419-5 gnd rswk-swf Dimension 1 (DE-588)4323094-5 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 Erscheint auch als Druck-Ausgabe 9789810240608 Erscheint auch als Druck-Ausgabe 9810240600 http://www.worldscientific.com/worldscibooks/10.1142/4210#t=toc Verlag URL des Erstveroeffentlichers 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. Branching solutions to one-dimensional variational problems Extremal problems (Mathematics) Steiner systems Steiner-Problem (DE-588)4248342-6 gnd Variationsproblem (DE-588)4187419-5 gnd Dimension 1 (DE-588)4323094-5 gnd |
| subject_GND | (DE-588)4248342-6 (DE-588)4187419-5 (DE-588)4323094-5 |
| 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 | Extremal problems (Mathematics) Steiner systems Steiner-Problem (DE-588)4248342-6 gnd Variationsproblem (DE-588)4187419-5 gnd Dimension 1 (DE-588)4323094-5 gnd |
| topic_facet | Extremal problems (Mathematics) Steiner systems Steiner-Problem Variationsproblem Dimension 1 |
| url | http://www.worldscientific.com/worldscibooks/10.1142/4210#t=toc |
| work_keys_str_mv | AT ivanovao branchingsolutionstoonedimensionalvariationalproblems AT tuzhilinaa branchingsolutionstoonedimensionalvariationalproblems |