MARC details
| 000 -LEADER |
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04724cam a2200673 a 4500 |
| 001 - CONTROL NUMBER |
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ocn613343373 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20220713025842.0 |
| 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 buu|||uu||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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100511s2009 si a ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
LLB |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
LLB |
| Modifying agency |
N$T |
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EBLCP |
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IDEBK |
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OCLCQ |
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DEBSZ |
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OCLCQ |
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OCLCO |
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OCLCQ |
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OCLCF |
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OCLCQ |
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MERUC |
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U3W |
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VTS |
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ICG |
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INT |
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OCLCQ |
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DKC |
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OCLCQ |
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AJS |
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OCLCQ |
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OCLCO |
| 019 ## - |
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608678833 |
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609971667 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789814277280 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9814277282 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9814277274 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9789814277273 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000054173035 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBBG |
| System control number |
BV043146337 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBBG |
| System control number |
BV044141334 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBSZ |
| System control number |
379312522 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBSZ |
| System control number |
421914114 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBSZ |
| System control number |
445567279 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)613343373 |
| Canceled/invalid control number |
(OCoLC)608678833 |
| -- |
(OCoLC)609971667 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA351 |
| Item number |
.C44 2009eb |
| 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 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.5 |
| 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 |
Cheng, S. S. |
| Fuller form of name |
(Sui Sun) |
| 9 (RLIN) |
230445 |
| 245 10 - TITLE STATEMENT |
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| Title |
Dual sets of envelopes and characteristic regions of quasi-polynomials / |
| Statement of responsibility, etc |
Sui Sun Cheng, Yi-Zhong Lin. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Singapore ; |
| -- |
Hackensack, N.J. : |
| Name of publisher, distributor, etc |
World Scientific, |
| Date of publication, distribution, etc |
©2009. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (viii, 227 pages) : |
| Other physical details |
illustrations |
| 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 (pages 225-226) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. Prologue. 1.1. An example. 1.2. Basic definitions -- 2. Envelopes and dual sets. 2.1. Plane curves. 2.2. Envelopes. 2.3. Dual sets of plane curves. 2.4. Notes -- 3. Dual sets of convex-concave functions. 3.1. Quasi-tangent lines. 3.2. Asymptotes. 3.3. Intersections of quasi-tangent lines and vertical lines. 3.4. Distribution maps for dual points. 3.5. Intersections of dual sets of order 0. 3.6. Notes -- 4. Quasi-polynomials. 4.1. [symbol]- and [symbol]-polynomials. 4.2. Characteristic regions. 4.3. Notes -- 5. C\(0, [symbol])-characteristic regions of real polynomials. 5.1. Quadratic polynomials. 5.2. Cubic polynomials. 5.3. Quartic polynomials. 5.4. Quintic polynomials. 5.5. Notes -- 6. C\(0, [symbol])-characteristic regions of real [symbol]-polynomials. 6.1. [symbol]-polynomials involving one power. 6.2. [symbol]-polynomials involving two powers. 6.3. [symbol]-polynomials involving three powers. 6.4. Notes -- 7. C\R-characteristic regions of [symbol]-polynomials. 7.1. [symbol]-polynomials involving one power. 7.2. [symbol]-polynomials involving two powers. 7.3. [symbol]-polynomials involving three powers. 7.4. Notes. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Existence and nonexistence of roots of functions involving one or more parameters has been the subject of numerous investigations. For a wide class of functions called quasi-polynomials, the above problems can be transformed into the existence and nonexistence of tangents of the envelope curves associated with the functions under investigation. In this book, we present a formal theory of the Cheng-Lin envelope method, which is completely new, yet simple and precise. This method is both simple - since only basic Calculus concepts are needed for understanding - and precise, since necessary and sufficient conditions can be obtained for functions such as polynomials containing more than four parameters. Since the underlying principles are relatively simple, this book is useful to college students who want to see immediate applications of what they learn in Calculus; to graduate students who want to do research in functional equations; and to researchers who want references on roots of quasi-polynomials encountered in the theory of difference and differential equations. |
| 588 0# - |
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| -- |
Print version record. |
| 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 |
|---|
| Topical term or geographic name as entry element |
Functions, Special. |
| 9 (RLIN) |
183861 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Polynomials. |
| 9 (RLIN) |
128196 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Fonctions spéciales. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Polynômes. |
| 9 (RLIN) |
951770 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Calculus. |
| Source of heading or term |
bisacsh |
| 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 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Functions, Special. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst00936132 |
| 9 (RLIN) |
183861 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Polynomials. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01070715 |
| 9 (RLIN) |
128196 |
| 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 |
Lin, Yi-Zhong, |
| Dates associated with a name |
1936- |
| 9 (RLIN) |
1461519 |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
World Scientific (Firm) |
| 9 (RLIN) |
74845 |
| 776 1# - ADDITIONAL PHYSICAL FORM ENTRY |
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| International Standard Book Number |
9814277274 |
| 776 1# - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| International Standard Book Number |
9789814277273 |
| 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=305323">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=305323</a> |
| 938 ## - |
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EBL - Ebook Library |
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EBLB |
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EBL477125 |
| 938 ## - |
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EBSCOhost |
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EBSC |
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305323 |
| 994 ## - |
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92 |
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INOPJ |
