Measurement errors and uncertainties: theory and practice
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
New York
AIP Press [u.a.]
2005
|
| Ausgabe: | 3. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 299 - 301 |
| Beschreibung: | XII, 308 S. graph. Darst. |
| ISBN: | 0387253580 9780387253589 |
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Datensatz im Suchindex
| _version_ | 1804135015281328128 |
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| adam_text | SEMYON G. RABINOVICH MEASUREMENT ERRORS AND UNCERTAINTIES THEORY AND
PRACTICE THIRD EDITION A I P /C C- PRESS CONTENTS PREFACE V CHAPTER 1
GENERAL INFORMATION ABOUT MEASUREMENTS 1 1.1. BASIC CONCEPTS AND TERMS 1
1.2. METROLOGY AND THE BASIC METROLOGICAL PROBLEMS 3 1.3. INITIAL POINTS
OF THE THEORY OF MEASUREMENTS 10 1.4. CLASSIFICATION OF MEASUREMENTS 15
1.5. CLASSIFICATION OF MEASUREMENT ERRORS 20 1.6. PRINCIPLES OF
ESTIMATION OF MEASUREMENT ERRORS AND UNCERTAINTIES 22 1.7. PRESENTATION
OF RESULTS OF MEASUREMENTS; RULES FOR ROUNDING OFF 24 1.8. BASIC
CONVENTIONAL NOTATIONS 28 CHAPTER 2 MEASURING INSTRUMENTS AND THEIR
PROPERTIES 29 2.1. TYPES OF MEASURING INSTRUMENTS 29 2.2. THE CONCEPT OF
AN IDEAL INSTRUMENT: METROLOGICAL CHARACTERISTICS OF MEASURING
INSTRUMENTS 32 2.3. STANDARDIZATION OF THE METROLOGICAL CHARACTERISTICS
OF MEASURING INSTRUMENTS 36 2.4. SOME SUGGESTIONS FOR CHANGING METHODS
OF STANDARDIZATION OF ERRORS OF MEASURING INSTRUMENTS AND THEIR ANALYSIS
48 2.5. DYNAMIC CHARACTERISTICS OF MEASURING INSTRUMENTS AND THEIR
STANDARDIZATION 52 2.6. STATISTICAL ANALYSIS OF THE ERRORS OF MEASURING
INSTRUMENTS BASED ON DATA PROVIDED BY CALIBRATION LABORATORIES 57
CHAPTER 3 PREREQUISITES FOR THE ANALYSIS OF THE INACCURACY OF
MEASUREMENTS AND FOR SYNTHESIS OF THEIR COMPONENTS 61 3.1. RELATIONSHIP
BETWEEN ERROR AND UNCERTAINTY 61 X CONTENTS 3.2. CLASSIFICATION OF
ELEMENTARY ERRORS 62 3.3. MATHEMATICAL MODELS OF ELEMENTARY ERRORS 64
3.4. METHODS FOR DESCRIBING RANDOM QUANTITIES 66 3.5. CONSTRUCTION OF
THE COMPOSITION OF UNIFORM DISTRIBUTIONS 70 3.6. UNIVERSAL METHOD FOR
CONSTRUCTING THE COMPOSITION OF DISTRIBUTIONS 74 3.7. NATURAL LIMITS OF
MEASUREMENTS 81 CHAPTER 4 STATISTICAL METHODS FOR EXPERIMENTAL DATA
PROCESSING 91 4.1. REQUIREMENTS FOR STATISTICAL ESTIMATIONS 91 4.2.
ESTIMATION OF THE PARAMETERS OF THE NORMAL DISTRIBUTION 92 4.3. OUTLYING
RESULTS 95 4.4. CONSTRUCTION OF CONFIDENCE INTERVALS 97 4.5. METHODS FOR
TESTING HYPOTHESES ABOUT THE FORM OF THE DISTRIBUTION FUNCTION OF A
RANDOM QUANTITY 101 4.6. METHODS FOR TESTING SAMPLE HOMOGENEITY 103 4.7.
TRENDS IN APPLIED STATISTICS AND EXPERIMENTAL DATA PROCESSING 109 4.8.
EXAMPLE: ANALYSIS OF MEASUREMENT RESULTS IN COMPARISONS OF MEASURES OF
MASS 112 CHAPTER 5 DIRECT MEASUREMENTS 115 5.1. RELATION BETWEEN SINGLE
AND MULTIPLE MEASUREMENTS 115 5.2. IDENTIFICATION AND ELIMINATION OF
SYSTEMATIC ERRORS 118 5.3. ESTIMATION OF ELEMENTARY ERRORS 124 5.4.
METHOD FOR CALCULATING THE ERRORS AND UNCERTAINTIES OF SINGLE
MEASUREMENTS 128 5.5. EXAMPLE: CALCULATION OF UNCERTAINTY IN VOLTAGE
MEASUREMENTS PERFORMED WITH A POINTER-TYPE VOLTMETER 132 5.6. METHODS
FOR CALCULATING THE UNCERTAINTY IN MULTIPLE MEASUREMENTS 138 5.7.
COMPARISON OF DIFFERENT METHODS FOR COMBINING SYSTEMATIC AND RANDOM
ERRORS 149 5.8. ESSENTIAL ASPECTS OF THE ESTIMATION OF MEASUREMENT
ERRORS WHEN THE NUMBER OF MEASUREMENTS IS SMALL 153 5.9. GENERAL PLAN
FOR ESTIMATING MEASUREMENT UNCERTAINTY 155 CHAPTER 6 INDIRECT
MEASUREMENTS 159 6.1. BASIC TERMS AND CLASSIFICATION 159 6.2.
CORRELATION COEFFICIENT AND ITS CALCULATION 160 6.3. THE TRADITIONAL
METHOD OF EXPERIMENTAL DATA PROCESSING 162 6.4. SHORTCOMINGS OF THE
TRADITIONAL METHOD 166 6.5. THE METHOD OF REDUCTION 168 6.6. THE METHOD
OF TRANSFORMATION 169 6.7. ERRORS AND UNCERTAINTY OF INDIRECT
MEASUREMENT RESULTS 174 CONTENTS XI CHAPTER 7 EXAMPLES OF MEASUREMENTS
AND MEASUREMENT DATA PROCESSING 179 7.1. AN INDIRECT MEASUREMENT OF THE
ELECTRICAL RESISTANCE OF A RESISTOR 179 7.2. THE MEASUREMENT OF THE
DENSITY OF A SOLID BODY 182 7.3. THE MEASUREMENT OF IONIZATION CURRENT
BY THE COMPENSATION METHOD .... 189 7.4. THE MEASUREMENT OF POWER AT
HIGH FREQUENCY 192 7.5. THE MEASUREMENT OF VOLTAGE WITH THE HELP OF A
POTENTIOMETER AND A VOLTAGE DIVIDER 193 7.6. CALCULATION OF THE
UNCERTAINTY OF THE VALUE OF A COMPOUND RESISTOR 197 CHAPTER 8 COMBINED
MEASUREMENTS 201 8.1. GENERAL REMARKS ABOUT THE METHOD OF LEAST SQUARES
201 8.2. MEASUREMENTS WITH LINEAR EQUALLY ACCURATE CONDITIONAL EQUATIONS
203 8.3. REDUCTION OF LINEAR UNEQUALLY ACCURATE CONDITIONAL EQUATIONS TO
EQUALLY ACCURATE CONDITIONAL EQUATIONS 205 8.4. LINEARIZATION OF
NONLINEAR CONDITIONAL EQUATIONS 206 8.5. EXAMPLES OF THE APPLICATIONS OF
THE METHOD OF LEAST SQUARES 208 8.6. DETERMINATION OF THE PARAMETERS IN
FORMULAS FROM EMPIRICAL DATA AND CONSTRUCTION OF CALIBRATION CURVES 213
CHAPTER 9 COMBINING THE RESULTS OF MEASUREMENTS 219 9.1. INTRODUCTORY
REMARKS 219 9.2. THEORETICAL PRINCIPLES 219 9.3. EFFECT OF THE ERROR OF
THE WEIGHTS ON THE ERROR OF THE WEIGHTED MEAN 223 9.4. COMBINING THE
RESULTS OF MEASUREMENTS IN WHICH THE RANDOM ERRORS PREDOMINATE 225 9.5.
COMBINING THE RESULTS OF MEASUREMENTS CONTAINING BOTH SYSTEMATIC AND
RANDOM ERRORS 226 9.6. EXAMPLE: MEASUREMENT OF THE ACTIVITY OF NUCLIDES
IN A SOURCE 233 CHAPTER 10 CALCULATION OF THE ERRORS OF MEASURING
INSTRUMENTS 237 10.1. THE PROBLEMS OF CALCULATING MEASURING INSTRUMENT
ERRORS 237 10.2. METHODS FOR CALCULATING INSTRUMENT ERRORS 238 10.3.
CALCULATION OF THE ERRORS OF ELECTRIC BALANCES (UNIQUE INSTRUMENT) 249
10.4. CALCULATION OF THE ERROR OF AC VOLTMETERS (MASS-PRODUCED
INSTRUMENT).... 251 10.5. CALCULATION OF THE ERROR OF DIGITAL
THERMOMETERS (MASS-PRODUCED INSTRUMENT) 258 CHAPTER 11 PROBLEMS IN THE
THEORY OF CALIBRATION 263 11.1. TYPES OF CALIBRATION 263 XII CONTENTS
11.2. ESTIMATION OF THE ERRORS OF MEASURING INSTRUMENTS IN VERIFICATION
265 11.3. REJECTS OF VERIFICATION AND WAYS TO REDUCE THEIR NUMBER 269
11.4. CALCULATION OF A NECESSARY NUMBER OF STANDARDS 275 CHAPTER 12
CONCLUSION 283 12.1. MEASUREMENT DATA PROCESSING: PAST, PRESENT, AND
FUTURE 283 12.2. REMARKS ON THE INTERNATIONAL VOCABULARY OF BASIC AND
GENERAL TERMS IN METROLOGY 285 12.3. DRAWBACKS OF THE GUIDE TO THE
EXPRESSION OF UNCERTAINTY IN MEASUREMENT 286 APPENDIX 289 GLOSSARY 295
REFERENCES 299 INDEX 303
|
| adam_txt |
SEMYON G. RABINOVICH MEASUREMENT ERRORS AND UNCERTAINTIES THEORY AND
PRACTICE THIRD EDITION A I P /C\C- PRESS CONTENTS PREFACE V CHAPTER 1
GENERAL INFORMATION ABOUT MEASUREMENTS 1 1.1. BASIC CONCEPTS AND TERMS 1
1.2. METROLOGY AND THE BASIC METROLOGICAL PROBLEMS 3 1.3. INITIAL POINTS
OF THE THEORY OF MEASUREMENTS 10 1.4. CLASSIFICATION OF MEASUREMENTS 15
1.5. CLASSIFICATION OF MEASUREMENT ERRORS 20 1.6. PRINCIPLES OF
ESTIMATION OF MEASUREMENT ERRORS AND UNCERTAINTIES 22 1.7. PRESENTATION
OF RESULTS OF MEASUREMENTS; RULES FOR ROUNDING OFF 24 1.8. BASIC
CONVENTIONAL NOTATIONS 28 CHAPTER 2 MEASURING INSTRUMENTS AND THEIR
PROPERTIES 29 2.1. TYPES OF MEASURING INSTRUMENTS 29 2.2. THE CONCEPT OF
AN IDEAL INSTRUMENT: METROLOGICAL CHARACTERISTICS OF MEASURING
INSTRUMENTS 32 2.3. STANDARDIZATION OF THE METROLOGICAL CHARACTERISTICS
OF MEASURING INSTRUMENTS 36 2.4. SOME SUGGESTIONS FOR CHANGING METHODS
OF STANDARDIZATION OF ERRORS OF MEASURING INSTRUMENTS AND THEIR ANALYSIS
48 2.5. DYNAMIC CHARACTERISTICS OF MEASURING INSTRUMENTS AND THEIR
STANDARDIZATION 52 2.6. STATISTICAL ANALYSIS OF THE ERRORS OF MEASURING
INSTRUMENTS BASED ON DATA PROVIDED BY CALIBRATION LABORATORIES 57
CHAPTER 3 PREREQUISITES FOR THE ANALYSIS OF THE INACCURACY OF
MEASUREMENTS AND FOR SYNTHESIS OF THEIR COMPONENTS 61 3.1. RELATIONSHIP
BETWEEN ERROR AND UNCERTAINTY 61 X CONTENTS 3.2. CLASSIFICATION OF
ELEMENTARY ERRORS 62 3.3. MATHEMATICAL MODELS OF ELEMENTARY ERRORS 64
3.4. METHODS FOR DESCRIBING RANDOM QUANTITIES 66 3.5. CONSTRUCTION OF
THE COMPOSITION OF UNIFORM DISTRIBUTIONS 70 3.6. UNIVERSAL METHOD FOR
CONSTRUCTING THE COMPOSITION OF DISTRIBUTIONS 74 3.7. NATURAL LIMITS OF
MEASUREMENTS 81 CHAPTER 4 STATISTICAL METHODS FOR EXPERIMENTAL DATA
PROCESSING 91 4.1. REQUIREMENTS FOR STATISTICAL ESTIMATIONS 91 4.2.
ESTIMATION OF THE PARAMETERS OF THE NORMAL DISTRIBUTION 92 4.3. OUTLYING
RESULTS 95 4.4. CONSTRUCTION OF CONFIDENCE INTERVALS 97 4.5. METHODS FOR
TESTING HYPOTHESES ABOUT THE FORM OF THE DISTRIBUTION FUNCTION OF A
RANDOM QUANTITY 101 4.6. METHODS FOR TESTING SAMPLE HOMOGENEITY 103 4.7.
TRENDS IN APPLIED STATISTICS AND EXPERIMENTAL DATA PROCESSING 109 4.8.
EXAMPLE: ANALYSIS OF MEASUREMENT RESULTS IN COMPARISONS OF MEASURES OF
MASS 112 CHAPTER 5 DIRECT MEASUREMENTS 115 5.1. RELATION BETWEEN SINGLE
AND MULTIPLE MEASUREMENTS 115 5.2. IDENTIFICATION AND ELIMINATION OF
SYSTEMATIC ERRORS 118 5.3. ESTIMATION OF ELEMENTARY ERRORS 124 5.4.
METHOD FOR CALCULATING THE ERRORS AND UNCERTAINTIES OF SINGLE
MEASUREMENTS 128 5.5. EXAMPLE: CALCULATION OF UNCERTAINTY IN VOLTAGE
MEASUREMENTS PERFORMED WITH A POINTER-TYPE VOLTMETER 132 5.6. METHODS
FOR CALCULATING THE UNCERTAINTY IN MULTIPLE MEASUREMENTS 138 5.7.
COMPARISON OF DIFFERENT METHODS FOR COMBINING SYSTEMATIC AND RANDOM
ERRORS 149 5.8. ESSENTIAL ASPECTS OF THE ESTIMATION OF MEASUREMENT
ERRORS WHEN THE NUMBER OF MEASUREMENTS IS SMALL 153 5.9. GENERAL PLAN
FOR ESTIMATING MEASUREMENT UNCERTAINTY 155 CHAPTER 6 INDIRECT
MEASUREMENTS 159 6.1. BASIC TERMS AND CLASSIFICATION 159 6.2.
CORRELATION COEFFICIENT AND ITS CALCULATION 160 6.3. THE TRADITIONAL
METHOD OF EXPERIMENTAL DATA PROCESSING 162 6.4. SHORTCOMINGS OF THE
TRADITIONAL METHOD 166 6.5. THE METHOD OF REDUCTION 168 6.6. THE METHOD
OF TRANSFORMATION 169 6.7. ERRORS AND UNCERTAINTY OF INDIRECT
MEASUREMENT RESULTS 174 CONTENTS XI CHAPTER 7 EXAMPLES OF MEASUREMENTS
AND MEASUREMENT DATA PROCESSING 179 7.1. AN INDIRECT MEASUREMENT OF THE
ELECTRICAL RESISTANCE OF A RESISTOR 179 7.2. THE MEASUREMENT OF THE
DENSITY OF A SOLID BODY 182 7.3. THE MEASUREMENT OF IONIZATION CURRENT
BY THE COMPENSATION METHOD . 189 7.4. THE MEASUREMENT OF POWER AT
HIGH FREQUENCY 192 7.5. THE MEASUREMENT OF VOLTAGE WITH THE HELP OF A
POTENTIOMETER AND A VOLTAGE DIVIDER 193 7.6. CALCULATION OF THE
UNCERTAINTY OF THE VALUE OF A COMPOUND RESISTOR 197 CHAPTER 8 COMBINED
MEASUREMENTS 201 8.1. GENERAL REMARKS ABOUT THE METHOD OF LEAST SQUARES
201 8.2. MEASUREMENTS WITH LINEAR EQUALLY ACCURATE CONDITIONAL EQUATIONS
203 8.3. REDUCTION OF LINEAR UNEQUALLY ACCURATE CONDITIONAL EQUATIONS TO
EQUALLY ACCURATE CONDITIONAL EQUATIONS 205 8.4. LINEARIZATION OF
NONLINEAR CONDITIONAL EQUATIONS 206 8.5. EXAMPLES OF THE APPLICATIONS OF
THE METHOD OF LEAST SQUARES 208 8.6. DETERMINATION OF THE PARAMETERS IN
FORMULAS FROM EMPIRICAL DATA AND CONSTRUCTION OF CALIBRATION CURVES 213
CHAPTER 9 COMBINING THE RESULTS OF MEASUREMENTS 219 9.1. INTRODUCTORY
REMARKS 219 9.2. THEORETICAL PRINCIPLES 219 9.3. EFFECT OF THE ERROR OF
THE WEIGHTS ON THE ERROR OF THE WEIGHTED MEAN 223 9.4. COMBINING THE
RESULTS OF MEASUREMENTS IN WHICH THE RANDOM ERRORS PREDOMINATE 225 9.5.
COMBINING THE RESULTS OF MEASUREMENTS CONTAINING BOTH SYSTEMATIC AND
RANDOM ERRORS 226 9.6. EXAMPLE: MEASUREMENT OF THE ACTIVITY OF NUCLIDES
IN A SOURCE 233 CHAPTER 10 CALCULATION OF THE ERRORS OF MEASURING
INSTRUMENTS 237 10.1. THE PROBLEMS OF CALCULATING MEASURING INSTRUMENT
ERRORS 237 10.2. METHODS FOR CALCULATING INSTRUMENT ERRORS 238 10.3.
CALCULATION OF THE ERRORS OF ELECTRIC BALANCES (UNIQUE INSTRUMENT) 249
10.4. CALCULATION OF THE ERROR OF AC VOLTMETERS (MASS-PRODUCED
INSTRUMENT). 251 10.5. CALCULATION OF THE ERROR OF DIGITAL
THERMOMETERS (MASS-PRODUCED INSTRUMENT) 258 CHAPTER 11 PROBLEMS IN THE
THEORY OF CALIBRATION 263 11.1. TYPES OF CALIBRATION 263 XII CONTENTS
11.2. ESTIMATION OF THE ERRORS OF MEASURING INSTRUMENTS IN VERIFICATION
265 11.3. REJECTS OF VERIFICATION AND WAYS TO REDUCE THEIR NUMBER 269
11.4. CALCULATION OF A NECESSARY NUMBER OF STANDARDS 275 CHAPTER 12
CONCLUSION 283 12.1. MEASUREMENT DATA PROCESSING: PAST, PRESENT, AND
FUTURE 283 12.2. REMARKS ON THE "INTERNATIONAL VOCABULARY OF BASIC AND
GENERAL TERMS IN METROLOGY" 285 12.3. DRAWBACKS OF THE "GUIDE TO THE
EXPRESSION OF UNCERTAINTY IN MEASUREMENT" 286 APPENDIX 289 GLOSSARY 295
REFERENCES 299 INDEX 303 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Rabinovič, Semen G. |
| author_GND | (DE-588)121807169 |
| author_facet | Rabinovič, Semen G. |
| author_role | aut |
| author_sort | Rabinovič, Semen G. |
| author_variant | s g r sg sgr |
| building | Verbundindex |
| bvnumber | BV021247707 |
| classification_rvk | QH 170 UX 1100 |
| ctrlnum | (OCoLC)314962490 (DE-599)BVBBV021247707 |
| dewey-full | 530.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.8 |
| dewey-search | 530.8 |
| dewey-sort | 3530.8 |
| dewey-tens | 530 - Physics |
| discipline | Physik Wirtschaftswissenschaften |
| discipline_str_mv | Physik Wirtschaftswissenschaften |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV021247707 |
| illustrated | Illustrated |
| index_date | 2024-07-02T13:38:34Z |
| indexdate | 2024-07-09T20:33:47Z |
| institution | BVB |
| isbn | 0387253580 9780387253589 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014569165 |
| oclc_num | 314962490 |
| open_access_boolean | |
| owner | DE-29T DE-703 DE-11 |
| owner_facet | DE-29T DE-703 DE-11 |
| physical | XII, 308 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | AIP Press [u.a.] |
| record_format | marc |
| spelling | Rabinovič, Semen G. Verfasser (DE-588)121807169 aut Pogrešnosti izmerenij Measurement errors and uncertainties theory and practice Semyon G. Rabinovich 3. ed. New York AIP Press [u.a.] 2005 XII, 308 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 299 - 301 Messfehler (DE-588)4133270-2 gnd rswk-swf Messunsicherheit (DE-588)4210374-5 gnd rswk-swf Messgenauigkeit (DE-588)4138706-5 gnd rswk-swf Messunsicherheit (DE-588)4210374-5 s DE-604 Messfehler (DE-588)4133270-2 s 1\p DE-604 Messgenauigkeit (DE-588)4138706-5 s 2\p DE-604 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014569165&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rabinovič, Semen G. Measurement errors and uncertainties theory and practice Messfehler (DE-588)4133270-2 gnd Messunsicherheit (DE-588)4210374-5 gnd Messgenauigkeit (DE-588)4138706-5 gnd |
| subject_GND | (DE-588)4133270-2 (DE-588)4210374-5 (DE-588)4138706-5 |
| title | Measurement errors and uncertainties theory and practice |
| title_alt | Pogrešnosti izmerenij |
| title_auth | Measurement errors and uncertainties theory and practice |
| title_exact_search | Measurement errors and uncertainties theory and practice |
| title_exact_search_txtP | Measurement errors and uncertainties theory and practice |
| title_full | Measurement errors and uncertainties theory and practice Semyon G. Rabinovich |
| title_fullStr | Measurement errors and uncertainties theory and practice Semyon G. Rabinovich |
| title_full_unstemmed | Measurement errors and uncertainties theory and practice Semyon G. Rabinovich |
| title_short | Measurement errors and uncertainties |
| title_sort | measurement errors and uncertainties theory and practice |
| title_sub | theory and practice |
| topic | Messfehler (DE-588)4133270-2 gnd Messunsicherheit (DE-588)4210374-5 gnd Messgenauigkeit (DE-588)4138706-5 gnd |
| topic_facet | Messfehler Messunsicherheit Messgenauigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014569165&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT rabinovicsemeng pogresnostiizmerenij AT rabinovicsemeng measurementerrorsanduncertaintiestheoryandpractice |