MARC details
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05922cam a2200745 a 4500 |
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ocn269468852 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20240925133131.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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m d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
081107s2001 si a ob 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| Canceled/invalid LC control number |
00063439 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
N$T |
| Language of cataloging |
eng |
| Description conventions |
pn |
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N$T |
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OCLCQ |
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300288323 |
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646768804 |
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1391285901 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789812810717 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9812810714 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9810240600 |
| Qualifying information |
(alk. paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789810240608 |
| Qualifying information |
(alk. paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1281956368 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781281956361 |
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| International Standard Book Number |
9786611956363 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
6611956360 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
235934 |
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(N$T) |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)269468852 |
| Canceled/invalid control number |
(OCoLC)300288323 |
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(OCoLC)646768804 |
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(OCoLC)764501667 |
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(OCoLC)815755953 |
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(OCoLC)961626822 |
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(OCoLC)962691459 |
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(OCoLC)988406786 |
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(OCoLC)991977438 |
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(OCoLC)1037717213 |
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(OCoLC)1038613848 |
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(OCoLC)1045465022 |
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(OCoLC)1055364137 |
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(OCoLC)1081246998 |
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(OCoLC)1086440017 |
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(OCoLC)1153551273 |
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(OCoLC)1162004304 |
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(OCoLC)1228540697 |
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(OCoLC)1290105934 |
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(OCoLC)1300580483 |
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(OCoLC)1391285901 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA331 |
| Item number |
.I935 2001eb |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
005000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
034000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBMP |
| Source |
bicssc |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515 |
| Edition number |
22 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Ivanov, A. O. |
| Fuller form of name |
(Alexander O.) |
| -- |
https://id.oclc.org/worldcat/entity/E39PCjJJ8XBcpkhYmM7P3wftTd |
| 9 (RLIN) |
435107 |
| 245 10 - TITLE STATEMENT |
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| Title |
Branching solutions to one-dimensional variational problems / |
| Statement of responsibility, etc. |
A.O. Ivanov & A.A. Tuzhilin. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Singapore ; |
| -- |
River Edge, NJ : |
| Name of publisher, distributor, etc. |
World Scientific, |
| Date of publication, distribution, etc. |
©2001. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (xxi, 342 pages) : |
| Other physical details |
illustrations |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
data file |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 323-329) and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
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| Source of description note |
Print version record. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
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. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Ch. 1. Preliminary results. 1.1. Graphs. 1.2. Parametric networks. 1.3. Network-traces. 1.4. Stating of variational problem -- ch. 2. Networks extremality criteria. 2.1. Local structure of extreme parametric networks. 2.2. Local structure of extreme networks-traces -- ch. 3. Linear networks in [symbol]. 3.1. Mutually parallel linear networks with a given boundary. 3.2. Geometry of planar linear trees. 3.3. On the proof of Theorem -- ch. 4. Extremals of length type functionals: the case of parametric networks. 4.1. Parametric networks extreme with respect to Riemannian length functional. 4.2. Local structure of weighted extreme parametric networks. 4.3. Polyhedron of extreme weighted networks in space, having some given type and boundary. 4.4. Global structure of planar extreme weighted trees. 4.5. Geometry of planar embedded extreme weighted binary trees -- ch. 5. Extremals of the length functional: the case of networks -- traces. 5.1. Minimal networks on Euclidean plane. 5.2. Closed minimal networks on closed surfaces of constant curvature. 5.3. Closed local minimal networks on surfaces of polyhedra. 5.4. M.V. Pronin. Morse indices of local minimal networks. 5.5. G.A. Karpunin. Morse theory for planar linear networks -- ch. 6. Extremals of functionals generated by norms. 6.1. Norms of general form. 6.2. Stability of extreme binary trees under deformations of the boundary. 6.3. Planar norms with strictly convex smooth circles. 6.4. Manhattan local minimal and extreme networks. |
| 546 ## - LANGUAGE NOTE |
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| Language note |
English. |
| 590 ## - LOCAL NOTE (RLIN) |
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| Local note |
Added to collection customer.56279.3 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Extremal problems (Mathematics) |
| 9 (RLIN) |
77292 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Steiner systems. |
| 9 (RLIN) |
122661 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Problèmes extrémaux (Mathématiques) |
| 9 (RLIN) |
77293 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Systèmes de Steiner. |
| 9 (RLIN) |
1015951 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Calculus. |
| Source of heading or term |
bisacsh |
| 9 (RLIN) |
71168 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Mathematical Analysis. |
| Source of heading or term |
bisacsh |
| 9 (RLIN) |
71169 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Extremal problems (Mathematics) |
| Source of heading or term |
fast |
| 9 (RLIN) |
77292 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Steiner systems |
| Source of heading or term |
fast |
| 9 (RLIN) |
122661 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Tuzhilin, A. A. |
| 9 (RLIN) |
435108 |
| 758 ## - |
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| -- |
has work: |
| -- |
Branching solutions to one-dimensional variational problems (Text) |
| -- |
https://id.oclc.org/worldcat/entity/E39PCG4864q3y7FPBb4g3DMbMP |
| -- |
https://id.oclc.org/worldcat/ontology/hasWork |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Relationship information |
Print version: |
| Main entry heading |
Ivanov, A.O. (Alexander O.). |
| Title |
Branching solutions to one-dimensional variational problems. |
| Place, publisher, and date of publication |
Singapore ; River Edge, NJ : World Scientific, ©2001 |
| International Standard Book Number |
9789810240608 |
| Record control number |
(DLC) 00063439 |
| -- |
(OCoLC)44811646 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
EBSCOhost |
| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235934">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235934</a> |
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Askews and Holts Library Services |
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ASKH |
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AH24685570 |
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ProQuest Ebook Central |
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EBLB |
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EBL1681516 |
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ebrary |
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EBRY |
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ebr10255833 |
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EBSCOhost |
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EBSC |
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235934 |
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ProQuest MyiLibrary Digital eBook Collection |
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IDEB |
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195636 |
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YBP Library Services |
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YANK |
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2907172 |
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Internet Archive |
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INAR |
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branchingsolutio0000ivan |
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92 |
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N$T |