MARC details
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04850cam a2200745 i 4500 |
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ocn895958791 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20250703133350.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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141118s2014 sz a ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
HNK |
| Language of cataloging |
eng |
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rda |
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pn |
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HNK |
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YDXCP |
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OCLCQ |
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GW5XE |
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UPM |
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COO |
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OCLCF |
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VT2 |
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ESU |
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IOG |
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NJR |
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REB |
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OCLCQ |
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CEF |
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OCLCQ |
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UX0 |
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AU@ |
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OCLCQ |
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WYU |
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YOU |
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OCLCQ |
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EBLCP |
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OCLCQ |
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DCT |
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ERF |
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OCLCQ |
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OCLCO |
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UKAHL |
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AAA |
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OCLCO |
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OCLCQ |
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OCLCO |
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OCLCL |
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OCLCQ |
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UKKRT |
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S9M |
| 019 ## - |
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964870037 |
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1005816671 |
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1012040210 |
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1022051356 |
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1048202975 |
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1050977250 |
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1055408478 |
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1058528249 |
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1066472293 |
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1086467805 |
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1109803688 |
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1110982903 |
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1112523486 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319102986 |
| Qualifying information |
(ebk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3319102982 |
| Qualifying information |
(ebk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
9783319102979 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
3319102974 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-319-10298-6 |
| Source of number or code |
doi |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000058347776 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000060384170 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
NLGGC |
| System control number |
392092352 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
NZ1 |
| System control number |
15832868 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DKDLA |
| System control number |
820120-katalog:999901682005765 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)895958791 |
| Canceled/invalid control number |
(OCoLC)964870037 |
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(OCoLC)1005816671 |
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(OCoLC)1012040210 |
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(OCoLC)1022051356 |
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(OCoLC)1048202975 |
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(OCoLC)1050977250 |
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(OCoLC)1055408478 |
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(OCoLC)1058528249 |
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(OCoLC)1066472293 |
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(OCoLC)1086467805 |
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(OCoLC)1109803688 |
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(OCoLC)1110982903 |
| -- |
(OCoLC)1112523486 |
| 037 ## - SOURCE OF ACQUISITION |
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| Source of stock number/acquisition |
Springer |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA188 |
| Item number |
.D45 2014eb |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBWL |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT033000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.9/434 |
| Edition number |
23 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Dellacherie, Claude, |
| Relator term |
author. |
| -- |
https://id.oclc.org/worldcat/entity/E39PBJgCMVYfMkkDqg69BcVDMP |
| 9 (RLIN) |
73562 |
| 245 10 - TITLE STATEMENT |
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| Title |
Inverse m-matrices and ultrametric matrices / |
| Statement of responsibility, etc. |
Claude Dellacherie, Servet Martinez, Jaime San Martin. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Cham [Switzerland] : |
| Name of producer, publisher, distributor, manufacturer |
Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2014] |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (x, 236 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 |
text file |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| Encoding format |
PDF |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Lecture notes in mathematics, |
| International Standard Serial Number |
1617-9692 ; |
| Volume/sequential designation |
2118 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
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| Source of description note |
Online resource; title from PDF title page (SpringerLink, viewed November 19, 2014). |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Inverse M -- matrices and potentials -- Ultrametric Matrices -- Graph of Ultrametric Type Matrices -- Filtered Matrices -- Hadamard Functions of Inverse M -- matrices -- Notes and Comments Beyond Matrices -- Basic Matrix Block Formulae -- Symbolic Inversion of a Diagonally Dominant M -- matrices -- Bibliography -- Index of Notations -- Index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose inverses are M-matrices. We present an answer in terms of discrete potential theory based on the Choquet-Deny Theorem. A distinguished subclass of inverse M-matrices is ultrametric matrices, which are important in applications such as taxonomy. Ultrametricity is revealed to be a relevant concept in linear algebra and discrete potential theory because of its relation with trees in graph theory and mean expected value matrices in probability theory. Remarkable properties of Hadamard functions and products for the class of inverse M-matrices are developed and probabilistic insights are provided throughout the monograph. |
| 546 ## - LANGUAGE NOTE |
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| Language note |
English. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Matrices. |
| 9 (RLIN) |
1156 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Inverse problems (Differential equations) |
| 9 (RLIN) |
9305 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Matrices. |
| 9 (RLIN) |
1156 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Problèmes inverses (Équations différentielles) |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Matrices (Matemáticas) |
| Source of heading or term |
embne |
| 9 (RLIN) |
974084 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Inverse problems (Differential equations) |
| Source of heading or term |
fast |
| 9 (RLIN) |
9305 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Matrices |
| Source of heading or term |
fast |
| 9 (RLIN) |
1156 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Martínez, Servet, |
| Relator term |
author. |
| -- |
https://id.oclc.org/worldcat/entity/E39PBJkHkdKDGdyCrhJVfTxxDq |
| 9 (RLIN) |
79108 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
San Martín, Jaime, |
| Relator term |
author. |
| -- |
https://id.oclc.org/worldcat/entity/E39PCjF3Qfh3t6ypF4VbtRrMGd |
| 9 (RLIN) |
79109 |
| 758 ## - |
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| -- |
has work: |
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Inverse M-matrices and ultrametric matrices (Text) |
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https://id.oclc.org/worldcat/entity/E39PCGTgHqpFMRfq8KMBh3PQD3 |
| -- |
https://id.oclc.org/worldcat/ontology/hasWork |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Relationship information |
Printed edition: |
| International Standard Book Number |
9783319102979 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Lecture notes in mathematics (Springer-Verlag) ; |
| Volume number/sequential designation |
2118. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-319-10298-6">https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-319-10298-6</a> |
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Kortext |
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KTXT |
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1360035 |
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Askews and Holts Library Services |
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ASKH |
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AH29495504 |
| 938 ## - |
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ProQuest Ebook Central |
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EBLB |
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EBL6283558 |
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ProQuest Ebook Central |
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EBLB |
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EBL5578070 |
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YBP Library Services |
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YANK |
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12186361 |
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92 |
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ATIST |