MARC details
| 000 -LEADER |
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| fixed length control field |
04807cam a2200541Ia 4500 |
| 001 - CONTROL NUMBER |
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| control field |
ocn832715256 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20220711194136.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m o 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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130327s2012 nyu ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
N$T |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
N$T |
| Modifying agency |
OCLCF |
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OCLCQ |
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AGLDB |
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OCLCQ |
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VTS |
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AU@ |
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STF |
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OCLCQ |
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K6U |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781614700449 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1614700443 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9781613249284 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
1613249284 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBBG |
| System control number |
BV043775277 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBSZ |
| System control number |
472777343 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)832715256 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA11.2 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
027000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
510.72 |
| Edition number |
22 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 245 00 - TITLE STATEMENT |
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| Title |
Advances in mathematics research. |
| Number of part/section of a work |
Vol. 16 / |
| Statement of responsibility, etc |
Albert R. Baswell, editor. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
New York : |
| Name of publisher, distributor, etc |
Nova Science Publishers, Inc., |
| Date of publication, distribution, etc |
©2012. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (1 volume) |
| 336 ## - |
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text |
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txt |
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rdacontent |
| 337 ## - |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 588 0# - |
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| -- |
Print version record. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
ADVANCES IN MATHEMATICS RESEARCH. VOLUME 16; ADVANCES IN MATHEMATICS RESEARCH. VOLUME 16; LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA; CONTENTS; PREFACE; Chapter 1: BLACKWELL'S ORDERING IN THE SEMIRING OF MONOTONE DOUBLY STOCHASTIC MATRICES; Abstract; 1. Introduction; 2. Preliminaries; 2.1. Homogenous Markov Chains; 2.2. Monotone Transition Matrices; 2.3. Ordering in an Idempotent Semiring; 3. Measuring Mobility; 3.1. Shorrocks' Mobility Measuring Approach; 3.2. Dardanoni's Mobility Measuring; 4. Ordering in Shorrocks' Sense on the Semiring of Monotone Doubly Stochastic Matrices. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
4.1. Semiring of Monotone Doubly Stochastic Matrices4.2. Characterisation of the Ordering f and the Ordering m; 5. Blackwell's Ordering in the Semiring of Monotone Doubly Stochastic Matrices; 6. A comparison of Shorrocks' and Blackwell's Ordering in theSemiring of Monotone Doubly Stochastic Matrices; 6.1. The Relation of Blackwell's Ordering #x9C;́ư and Ordering #x9C;́ư Induced byMobility Measures; 6.2. The Orderings #x9C;́ư, #x9C;́ư and Dardanoni's Ordering; 7. Conclusion; Acknowledgment; References; Chapter 2: ESTIMATES FOR FUNCTIONS OF FINITEAND INFINITE MATRICES. PERTURBATIONS OF MATRIX FUNCTIONS. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Abstract1. Introduction and Notation; 2. Representations of Matrix Functions; 2.1. Classical Representations; 2.2. Multiplicative Representations of the Resolvent; 3. Norm Estimates for Resolvents ; 4. Spectrum Perturbations; 5. Norm Estimates for Matrix Functions Regular on SimplyConnected Sets; 5.1. Estimates via the Resolvent; 5.2. Functions Regular on the Convex Hull of the Spectrum; 5.3. Proof of Theorem 5.2; 6. Estimates for Absolute Values of Entries; 7. Splitting of Spectrum; 7.1. Splitting via the Resolvent; 7.2. Splitting via the Riesz Projections. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
7.3. Block Triangular Representation of the Resolvent 8. Derivatives of Matrix Functions; 8.1. Statements of the Results; 8.2. Proof of Theorem 8.1; 8.3. Derivative of Matrix Exponential; 9. MeromorphicMatrix Functions; 9.1. Statements of the Results; 9.2. Proof of Theorem 9.4; 9.3. Periodic Vector Problem ; 9.4. Two-Points Vector Boundary Value Problem; 10. Norm Estimates for Functions of Diagonalizable Matrices ; 10.1. A Bound for Similarity Constants of Matrices ; 10.2. Proof of Theorem 10.1 ; 10.3. Applications of Theorem 10.1. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
10.4. Additional Norm Estimates for Functionsof Diagonalizable Matrices11. Perturbations of Functions of Matrices With ArbitrarySpectra; 11.1. Perturbations in Terms of the Spectral Norm; 11.2. Perturbations in Terms of the Frobenius Norm; 11.3. Perturbations of Entries of Matrix Functions; 11.4. Perturbations of Entire Functions; 11.5. Applications of the Derivative; 12. Perturbations of Functions of DiagonalizableMatrices; 13. Matrix Exponential; 13.1. Dichotomy; 13.2. Perturbations of Matrix Exponentials ; 13.3. Proof of Theorem 13.1; 14. Fractional Powers. |
| 590 ## - LOCAL NOTE (RLIN) |
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| Local note |
eBooks on EBSCOhost |
| Provenance (VM) [OBSOLETE] |
EBSCO eBook Subscription Academic Collection - Worldwide |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| General subdivision |
Research. |
| 9 (RLIN) |
276285 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Research. |
| Source of heading or term |
bisacsh |
| 9 (RLIN) |
276285 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| General subdivision |
Research. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01012225 |
| 9 (RLIN) |
276285 |
| 655 #0 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 655 #4 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Baswell, Albert R. |
| 9 (RLIN) |
641032 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Print version: |
| Title |
Advances in mathematics research. Volume 16. |
| Place, publisher, and date of publication |
Hauppauge, N.Y. : Nova Science ; Lancaster : Gazelle [distributor], 2011 |
| International Standard Book Number |
9781613249284 |
| Record control number |
(OCoLC)751806200 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=540133">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=540133</a> |
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EBSCOhost |
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EBSC |
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540133 |
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92 |
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INOPJ |
