Metrology and theory of measurement

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Hauptverfasser: Slaev, Valerij A. (VerfasserIn), Chunovkina, Anna G. (VerfasserIn), Mironovskij, Leonid A. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Berlin [u.a.] De Gruyter 2013
Schriftenreihe:De Gruyter studies in mathematical physics 20
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Datensatz im Suchindex

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adam_text IMAGE 1 CONTENTS PREFACE VII ABBREVIATIONS XIX 1 INTERNATIONAL MEASUREMENT SYSTEM 1 1.1 PRINCIPLES UNDERLYING THE INTERNATIONAL MEASUREMENT SYSTEM 1 1.2 CLASSIFICATION O F KEY COMPARISONS O F NATIONAL MEASUREMENT STANDARDS . 5 1.3 BASIC APPROACHES TO EVALUATING KEY COMPARISON DATA 9 1.4 EXPRESSION O F THE DEGREE O F EQUIVALENCE O F MEASUREMENT STANDARDS ON THE BASIS O F A MIXTURE O F DISTRIBUTIONS 12 1.5 EVALUATION O F REGIONAL KEY COMPARISON DATA 15 1.5.1 TWO APPROACHES TO INTERPRETING AND EVALUATING DATA O F REGIONAL KEY COMPARISONS 15 1.5.2 EQUATION O F LINKING RMO AND CIPM KC. OPTIMIZATION O F THE ALGORITHM O F EVALUATING DEGREES O F EQUIVALENCE 18 1.5.3 DIFFERENT PRINCIPLES FOR TRANSFORMING THE RESULTS O F REGIONAL COMPARISONS 22 1.6 BAYESIAN APPROACH TO THE EVALUATION O F SYSTEMATIC BIASES O F MEASUREMENT RESULTS IN LABORATORIES 27 1.7 EVALUATION O F MEASUREMENT RESULTS IN CALIBRATING MATERIAL MEASURES AND MEASURING INSTRUMENTS 31 1.7.1 FORMULATING A MEASUREMENT MODEL 32 1.7.2 EVALUATION O F MEASUREMENT UNCERTAINTY 39 1.7.3 CALCULATION O F MEASUREMENT UNCERTAINTY ASSOCIATED WITH A VALUE O F A MATERIAL MEASURE USING BAYESIAN ANALYSIS 42 1.7.4 DETERMINATION O F THE LINEAR CALIBRATION FUNCTIONS O F MEASURING INSTRUMENTS 44 1.8 SUMMARY 51 2 SYSTEMS OF REPRODUCING PHYSICAL QUANTITIES UNITS AND TRANSFERRING THEIR SIZES 53 2.1 CLASSIFICATION O F REPRODUCING PHYSICAL QUANTITIES UNITS AND SYSTEMS FOR TRANSFERRING THEIR SIZES (RUTS) 53 2.1.1 GENERAL IDEAS 53 HTTP://D-NB.INFO/1029258953 IMAGE 2 XIV CONTENTS 2.1.2 ANALYSIS O F THE RUTS SYSTEMS 55 2.1.3 VARIETIES O F THE ELEMENTS O F A PARTICULAR RUTS SYSTEM 74 2.1.4 INTERSPECIFIC CLASSIFICATION O F PARTICULAR RUTS SYSTEMS 77 2.1.5 SOME PROBLEMS O F THE SPECIFIC CLASSIFICATION O F PARTICULAR RUTS SYSTEMS 85 2.1.6 THE TECHNICAL-ECONOMIC EFFICIENCY O F VARIOUS RUTS SYSTEMS . 92 2.2 PHYSICAL-METROLOGICAL FUNDAMENTALS O F CONSTRUCTING THE RUTS SYSTEMS 96 2.2.1 GENERAL IDEAS 96 2.2.2 ANALYSIS O F THE STATE O F THE ISSUE AND THE CHOICE O F THE DIRECTION FOR BASIC RESEARCH 97 2.2.3 FOUNDATIONS O F THE DESCRIPTION O F RUTS SYSTEMS 108 2.2.4 FUNDAMENTALS O F CONSTRUCTING A RUTS SYSTEM 129 2.2.5 SYSTEM O F REPRODUCTION O F PHYSICAL QUANTITY UNITS 145 2.3 SUMMARY 158 3 POTENTIAL MEASUREMENT ACCURACY 164 3.1 SYSTEM APPROACH TO DESCRIBING A MEASUREMENT 164 3.1.1 CONCEPT O F A SYSTEM APPROACH TO THE FORMALIZED DESCRIPTION O F A MEASUREMENT TASK 164 3.1.2 FORMALIZED DESCRIPTION O F A MEASUREMENT TASK 166 3.1.3 MEASUREMENT AS A PROCESS O F SOLVING A MEASUREMENT TASK . . . . 167 3.1.4 FORMALIZATION O F A MEASUREMENT AS A SYSTEM 169 3.1.5 TARGET FUNCTION O F A SYSTEM 170 3.2 POTENTIAL AND LIMIT ACCURACIES O F MEASUREMENTS 171 3.3 ACCURACY LIMITATIONS DUE TO THE COMPONENTS O F A MEASUREMENT TASK . . 173 3.3.1 MEASURAND AND OBJECT MODELS 173 3.3.2 PHYSICAL LIMITATIONS DUE TO THE DISCONTINUITY O F A SUBSTANCE STRUCTURE 175 3.3.3 QUANTUM-MECHANICAL LIMITATIONS 183 3.4 INFLUENCE O F EXTERNAL MEASUREMENT CONDITIONS 189 3.5 SPACE-TIME LIMITATIONS 190 3.6 SUMMARY 194 4 ALGORITHMS FOR EVALUATING THE RESULT OF TWO OR THREE MEASUREMENTS 197 4.1 GENERAL IDEAS 197 4.2 EVALUATION PROBLEM AND CLASSICAL MEANS 201 4.2.1 CLASSIFICATION O F MEASUREMENT ERRORS 201 4.2.2 PROBLEM DEFINITION AND CLASSIFICATION O F EVALUATION METHODS . . 204 4.2.3 CLASSICAL MEANS AND THEIR PROPERTIES 207 4.2.4 GEOMETRICAL INTERPRETATION O F THE MEANS 220 IMAGE 3 CONTENTS X V 4.2.5 RELATIONS O F THE MEANS 224 4.2.6 INVERSE PROBLEMS IN THE THEORY O F MEANS 229 4.2.7 WEIGHTED MEANS 237 4.3 ALGORITHMS O F OPTIMAL EVALUATION 245 4.3.1 PROBABILITY APPROACH 245 4.3.2 DETERMINISTIC APPROACH 248 4.4 HEURISTIC METHODS FOR OBTAINING ESTIMATES 258 4.4.1 PRINCIPLES O F HEURISTIC EVALUATION 258 4.4.2 LINEAR AND QUASI-LINEAR ESTIMATES 263 4.4.3 DIFFERENCE QUASI-LINEAR ESTIMATES 266 4.4.4 HEURISTIC MEANS FOR N = 2 273 4.5 STRUCTURAL AND DIAGNOSTIC METHODS FOR OBTAINING ESTIMATES 283 4.5.1 STRUCTURAL MEANS 283 4.5.2 USE O F REDUNDANT VARIABLES TO INCREASE EVALUATION ACCURACY . . . 285 4.5.3 APPLICATION O F DIAGNOSTIC ALGORITHMS FOR SCREENING A PART O F MEASUREMENTS 289 4.5.4 SYSTEMATIZATION AND ANALYSIS O F EVALUATION ALGORITHMS 292 4.6 APPLICATION O F MEANS FOR FILTERING PROBLEMS 309 4.6.1 DIGITAL FILTERS WITH FINITE MEMORY 309 4.6.2 MEDIAN FILTERS 311 4.6.3 DIAGNOSTIC FILTERS 314 4.6.4 EXAMPLE O F FILTERING NAVIGATIONAL INFORMATION 316 4.7 SUMMARY 319 5 METROLOGICAL TRACEABILITY OF MEASUREMENT RESULTS (ILLUSTRATED BY AN EXAMPLE OF MAGNETIC RECORDING INSTRUMENTS) 321 5.1 GENERAL IDEAS 321 5.2 PRECISE MAGNETIC RECORDING INSTRUMENTS (MRI) O F ANALOG ELECTRICAL SIGNALS AS A PART O F MEASURING SYSTEMS; MRI METROLOGICAL TRACEABILITY . 323 5.2.1 APPLICATION O F RECORDING/REPRODUCING ELECTRICAL SIGNALS ON MAGNETIC CARRIERS IN MEASUREMENT TECHNIQUE AND SPECIFIC FEATURES O F MRI AS AN OBJECT O F METROLOGICAL INVESTIGATIONS . . . 323 5.2.2 MAIN SOURCES O F DISTORTIONS O F MEASUREMENT INFORMATION SIGNALS IN MAGNETIC CHANNELS, AND METHODS O F THEIR MEASUREMENTS 328 5.2.3 PROBLEMS O F THE METROLOGICAL TRACEABILITY O F MRI 336 5.3 METHODS O F DETERMINING MRI METROLOGICAL CHARACTERISTICS 340 5.3.1 PROBLEMS IN DEVELOPING METROLOGICAL TRACEABILITY SYSTEMS . . . . 340 5.3.2 METROLOGICAL CHARACTERISTICS O F MRI AND THEIR NORMALIZATION . . 356 IMAGE 4 X V I CONTENTS 5.3.3 METHODS FOR EXPERIMENTAL EVALUATION O F THE BASIC ERROR O F MEASUREMENT INFORMATION SIGNALS REGISTRATION IN MRI CHANNELS 367 5.3.4 METHODS FOR DETERMINING THE DYNAMIC CHARACTERISTICS O F MRI CHANNELS 375 5.3.5 METHODS FOR DETERMINING THE NONLINEAR DISTORTIONS AND OSCILLATIONS O F A SIGNAL TIME DELAY IN MRI CHANNELS 395 5.4 HARDWARE IMPLEMENTATION O F THE METHODS FOR DETERMINING MRI METROLOGICAL CHARACTERISTICS 401 5.4.1 MEASURING INSTRUMENTS FOR EXPERIMENTALLY DETERMINING MRI METROLOGICAL CHARACTERISTICS 401 5.5 SUMMARY 423 6 VALIDATION OF SOFTWARE USED IN METROLOGY 425 6.1 GENERAL IDEAS 425 6.2 TASKS O F THE METROLOGICAL VALIDATION O F SOFTWARE (MVS) USED IN METROLOGY 428 6.2.1 CLASSIFICATION O F TASKS FOR MVS USED IN METROLOGY 428 6.2.2 STATE O F AFFAIRS IN THIS FIELD IN LEADING COUNTRIES O F THE WORLD, IMMEDIATE TASKS AND WAYS FOR THEIR SOLUTION 435 6.3 APPROACHES TO EVALUATING PRECISION PARAMETERS O F SOFTWARE USED IN METROLOGY 446 6.3.1 SOURCES O F UNCERTAINTY AND METHODS O F THEIR EVALUATION WHEN APPLYING DATA PROCESSING SOFTWARE FOR OBTAINING A MEASUREMENT RESULT 446 6.3.2 METHODOLOGY O F ALGORITHM VALIDATION FOR MEASUREMENT DATA PROCESSING AND ITS PRACTICAL IMPLEMENTATION 458 6.4 REQUIREMENTS FOR SOFTWARE AND METHODS FOR ITS VALIDATION 465 6.4.1 GENERAL REQUIREMENTS FOR MEASURING INSTRUMENTS WITH REGARD TO THE APPLICATION O F SOFTWARE 465 6.4.2 REQUIREMENTS SPECIFIC FOR CONFIGURATIONS 472 6.4.3 SOFTWARE VALIDATION METHODS 484 6.5 TYPE APPROVAL 492 6.5.1 DOCUMENTATION FOR TYPE APPROVAL 492 6.5.2 REQUIREMENTS FOR THE APPROVAL PROCEDURE 494 6.5.3 VERIFICATION 494 6.6 ASSESSMENT O F SEVERITY (RISK) LEVELS 495 6.6.1 BRIEF REVIEW 495 6.6.2 ASSESSMENT O F SEVERITY (RISK) LEVELS ACCORDING TO OIML DOCUMENT D 3 1 497 IMAGE 5 CONTENTS XVII 6.6.3 DEFINITION O F RISK CLASSES ACCORDING TO THE WELMEC GUIDE 7.2 500 6.6.4 DETERMINATION O F SEVERITY DEGREES O F SOFTWARE TESTS IN RUSSIA 502 6.7 SUMMARY 504 BIBLIOGRAPHY 512 INDEX 545
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author Slaev, Valerij A.
Chunovkina, Anna G.
Mironovskij, Leonid A.
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series De Gruyter studies in mathematical physics
series2 De Gruyter studies in mathematical physics
spellingShingle Slaev, Valerij A.
Chunovkina, Anna G.
Mironovskij, Leonid A.
Metrology and theory of measurement
De Gruyter studies in mathematical physics
Messtheorie (DE-588)4169537-9 gnd
Metrologie (DE-588)4169749-2 gnd
subject_GND (DE-588)4169537-9
(DE-588)4169749-2
title Metrology and theory of measurement
title_auth Metrology and theory of measurement
title_exact_search Metrology and theory of measurement
title_full Metrology and theory of measurement Valery A. Slaev ; Anna G. Chunovkina ; Leonid A. Mironovsky
title_fullStr Metrology and theory of measurement Valery A. Slaev ; Anna G. Chunovkina ; Leonid A. Mironovsky
title_full_unstemmed Metrology and theory of measurement Valery A. Slaev ; Anna G. Chunovkina ; Leonid A. Mironovsky
title_short Metrology and theory of measurement
title_sort metrology and theory of measurement
topic Messtheorie (DE-588)4169537-9 gnd
Metrologie (DE-588)4169749-2 gnd
topic_facet Messtheorie
Metrologie
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