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100429s1980 nyu ob 100 0 eng d |
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|a OCLCE
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|a 655819767
|a 987673882
|a 1162036157
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|a 9780125188500
|q (electronic bk.)
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|a 0125188501
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|a 9781483273846
|q (electronic bk.)
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|a 1483273849
|q (electronic bk.)
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|a (OCoLC)610371946
|z (OCoLC)655819767
|z (OCoLC)987673882
|z (OCoLC)1162036157
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|a dlr
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|a QA297.75
|b .I57 1980
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|a MAT
|x 003000
|2 bisacsh
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|a SD 1980
|2 rvk
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|a SK 910
|2 rvk
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|a International Symposium on Interval Mathematics
|n (2nd :
|d 1980 :
|c Universit�at Freiburg)
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| 245 |
1 |
0 |
|a Interval mathematics 1980 :
|b proceedings of an International Symposium on Interval Mathematics, held at the Institut f�ur Angewandte Mathematik, Universit�at Freiburg i. Br., Germany, May 27-31, 1980. /
|c edited by Karl L.E. Nickel.
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| 260 |
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|a New York :
|b Academic Press,
|c 1980.
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| 300 |
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|a 1 online resource (xv, 554 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 504 |
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|a Includes bibliographical references.
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| 506 |
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|3 Use copy
|f Restrictions unspecified
|2 star
|5 MiAaHDL
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| 533 |
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|a Electronic reproduction.
|b [Place of publication not identified] :
|c HathiTrust Digital Library,
|d 2010.
|5 MiAaHDL
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| 538 |
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|a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
|u http://purl.oclc.org/DLF/benchrepro0212
|5 MiAaHDL
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| 583 |
1 |
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|a digitized
|c 2010
|h HathiTrust Digital Library
|l committed to preserve
|2 pda
|5 MiAaHDL
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| 588 |
0 |
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|a Print version record.
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|a Front Cover; Interval Mathematics 1980; Copyright Page; Table of Contents; Contributors; Foreword; Preface; CHAPTER 1. SET FUNCTIONS AND APPLICATIONS; I. INTRODUCTION; II. DEFINITIONS AND BASIC THEOREMS; III. SET FUNCTIONS; IV. APPLICATIONS; REFERENCES; CHAPTER 2. GLOBAL CONSTRAINED OPTIMIZATION USING INTERVAL ANALYSIS; I. INTRODUCTION; II. FEASIBILITY; III. AN UPPER BOUND; IV. MONOTONICITY; V. NONCONVEXITY; VI. NEWTON'S METHOD; VII. USE OF AN UPPER BOUND; VIII. USE OF CONSTRAINTS; IX. INTERVAL INEQUALITIES; X. ELIMINATION; XI. THE SEARCH FOR PIVOTS; XII. SOLVING INTERVAL INEQUALITIES
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| 505 |
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|a XIII. IMPROVING THE UPPER BOUNDXIV. FINDING A VERTEX; XV. A LINE SEARCH; XVI. TERMINATION; XVII. BOUNDING f* BUT NOT x; XVIII. A DIFFICULTY; XIX. LINEAR PROGRAMMING; XX. INTEGER PROGRAMMING; XXI. THE INITIAL REGION; REFERENCES; CAPTER 3. A MODEL FOR THE PROPAGATION OF ROUNDING ERROR IN FLOATING ARITHMETIC; I. INTRODUCTION; II. AN EXAMPLE; III. THE MODEL: NOTATION; IV. THE MODEL: AXIOMS; V. THE MODEL: ALGORITHMS; VI. EXAMPLE: EVALUATION OF A SUM; VII. EXAMPLE: LENGTH OF A POLYGON; VIII. EXAMPLE: A RECURRENCE RELATION; IX. A DISCLAIMER; BIBLIOGRAPHY
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| 505 |
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|a CAPTER 4. THE IMPORTANCE OF 3-VALUED NOTIONS FOR INTERVAL MATHEMATICSI. 3-VALUED ORDER RELATIONS; II. RECURSIVE CONSTRUCTION OF INTERVAL ARITHMETIC; III. 3-VALUED ANALYSIS; IV. SHORT SURVEY OF ADDITIONAL POSSIBILITIES TO APPLY 3-VALUED NOTIONS; REFERENCES; CHAPTER 5. INTERVAL ARITHMETIC OPTIONS IN THE PROPOSED IEEE FLOATING POINT ARITHMETIC STANDARD; I. ABSTRACT; II. INTRODUCTION; III. CONTROVERSY AND MISCONCEPTIONS; IV. ANTITHEOREMS; V. THE ANTI-THEOREMS' IMPACT; VI. WHAT IS GRADUAL UNDERFLOW?; ANNOTATED BIBLIOGRAPHY; CHAPTER 6. INTERVAL COMPONENTS OF NONARCHIMEDEAN NUMBER SYSTEMS
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| 505 |
8 |
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|a I. INTRODUCTIONII. HESSENBERG OPERATIONS; III. RATIONAL ORDINAL NUMBERS; IV. INTERVAL COMPONENTS; V. TRANSFINITE REAL INTERVAL NUMBERS; REFERENCES; INTERVAL DIFFERENTIAL EQUATIONS; CHAPTER 7. INTERVAL DIFFERENTIAL EQUATIONS; I. INTRODUCTION; II. DIFFERENTIATION OF INTERVAL FUNCTION OF A REAL VARIABLE; III. INTEGRATION AND DIFFERENTIATION; IV. THE INTERVAL DIFFERENTIAL EQUATION X' -- F(t, X); V. EXTENDED SEGMENT ANALYSIS; REFERENCES; Chapter 8. NEW RESULTS ON NONLINEAR SYSTEMS; I. INTRODUCTION; II. EXISTENCE; III. CONVERGENCE; IV. SEARCH PROCEDURES; V. EXPLOITING STRUCTURE
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| 505 |
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|a VI. OTHER NEW DEVELOPMENTSACKNOWLEDGMENTS; REFERENCES; CHAPTER 9. OPTIMAL APPROXIMATIONS IN INTERVAL ANALYSIS; I. INTERVAL ANALYTIC APPROXIMATIONS; III. EXAMPLES; REFERENCES; CHAPTER 10. SOME TOPICS OF SEGMENT ANALYSIS; 1. SEGMENT ARITHMETIC; 2. SEGMENT SEQUENCES; 3. SEGMENT FUNCTIONS; 5. CONVERGENCE OF DERIVATIVES OF LINEAR OPERATORS; REFERENCES; CHAPTER 11. ROUNDING ERROR IN GAUSSIAN ELIMINATION OF TRIDIAGONAL LINEAR SYSTEMS SURVEY OF RESULTS; INTRODUCTION; I. BASIC NOTIONS; II. DATA AND RESIDUAL CONDITION NUMBERS; III. GAUSSIAN ELIMINATION; IV. TWO-SIDED ELIMINATION; V. NUMERICAL EXAMPLE
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| 546 |
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|a English.
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| 650 |
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0 |
|a Interval analysis (Mathematics)
|v Congresses.
|
| 650 |
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0 |
|a Interval analysis (Mathematics)
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| 650 |
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6 |
|a Calcul sur des intervalles.
|0 (CaQQLa)201-0135020
|
| 650 |
|
6 |
|a Calcul sur des intervalles
|0 (CaQQLa)201-0135020
|v Congr�es.
|0 (CaQQLa)201-0378219
|
| 650 |
|
7 |
|a MATHEMATICS
|x Applied.
|2 bisacsh
|
| 650 |
|
7 |
|a MATHEMATICS
|x Probability & Statistics
|x General.
|2 bisacsh
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| 650 |
|
7 |
|a Interval analysis (Mathematics)
|2 fast
|0 (OCoLC)fst00977572
|
| 650 |
|
7 |
|a Intervallmathematik
|2 gnd
|0 (DE-588)4130580-2
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| 650 |
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7 |
|a Kongress
|2 gnd
|0 (DE-588)4130470-6
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| 655 |
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2 |
|a Congress
|0 (DNLM)D016423
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| 655 |
|
7 |
|a proceedings (reports)
|2 aat
|0 (CStmoGRI)aatgf300027316
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| 655 |
|
7 |
|a Conference papers and proceedings
|2 fast
|0 (OCoLC)fst01423772
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| 655 |
|
7 |
|a Conference papers and proceedings.
|2 lcgft
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| 655 |
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7 |
|a Actes de congr�es.
|2 rvmgf
|0 (CaQQLa)RVMGF-000001049
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| 655 |
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7 |
|a Freiburg (Breisgau, 1980)
|2 swd
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| 700 |
1 |
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|a Nickel, Karl,
|d 1924-
|
| 776 |
0 |
8 |
|i Print version:
|a International Symposium on Interval Mathematics (2nd : 1980 : Universit�at Freiburg).
|t Interval mathematics 1980.
|d New York : Academic Press, 1980
|w (DLC) 80025009
|w (OCoLC)6864097
|
| 856 |
4 |
0 |
|u https://sciencedirect.uam.elogim.com/science/book/9780125188500
|z Texto completo
|
