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Advanced Mathematical and Computational Tools in Metrology VII cover

This volume collects the refereed contributions based on the presentations made at the Seventh Workshop on Advanced Mathematical and Computational Tools in Metrology, a forum for metrologists, mathematicians and software engineers that will encourage a more effective synthesis of skills, capabilities and resources. The volume contains articles by world renowned metrologists and mathematicians involved in measurement science and, together with the six previous volumes in this series, constitutes an authoritative source of the mathematical, statistical and software tools necessary in modern metrology.

Sample Chapter(s)
Chapter 1: Modelling Measurement Processes in Complex Systems with Partial Differential Equations: From Heat Conduction to the Heart (537 KB)


Contents:
  • Modeling Measurement Processes in Complex Systems with Partial Differential Equations: From Heat Conduction to the Heart (M Bär et al.)
  • Mereotopological Approach for Measurement Software (E Benoit & R Dapoigny)
  • Data Evaluation of Key Comparisons Involving Several Artefacts (M G Cox et al.)
  • Box-Cox Transformations and Robust Control Charts in SPC (M I Gomes & F O Figueiredo)
  • Multisensor Data Fusion and Its Application to Decision Making (P S Girão et al.)
  • Generic System Design for Measurement Databases — Applied to Calibrations in Vacuum Metrology, Bio-Signals and a Template System (H Gross et al.)
  • Evaluation of Repeated Measurements from the Viewpoint of Conventional and Bayesian Statistics (I Lira & W Wöger)
  • Detection of Outliers in Interlaboratory Testing (C Perruchet)
  • On Appropriate Methods for the Validation of Metrological Software (D Richter et al.)
  • Data Analysis — A Dialogue with the Data (D S Sivia)
  • Validation of Soft Sensors in Monitoring Ambient Parameters (P Ciarlini et al.)
  • Evaluation of Standard Uncertainties in Nested Structures (E Filipe)
  • Measurement System Analysis and Statistical Process Control (A B Forbes)
  • Monte Carlo Study on Logical and Statistical Correlation (B Siebert et al.)
  • Some Problems Concerning the Estimate of the Degree of Equivalence in MRA Key Comparisons and of Its Uncertainty (F Pavese)
  • Preparing for a European Research Area Network in Metrology: Where are We Now? (M Kühne et al.)
  • and other papers

Readership: Researchers, graduate students, academics and professionals in metrology.

Full Papers


No Access
MODELLING MEASUREMENT PROCESSES IN COMPLEX SYSTEMS WITH PARTIAL DIFFERENTIAL EQUATIONS: FROM HEAT CONDUCTION TO THE HEART
  • Pages:1–12

https://doi.org/10.1142/9789812774187_0001

No Access
MEREOTOPOLOGICAL APPROACH FOR MEASUREMENT SOFTWARE
  • Pages:13–22

https://doi.org/10.1142/9789812774187_0002

No Access
DATA EVALUATION OF KEY COMPARISONS INVOLVING SEVERAL ARTEFACTS
  • Pages:23–34

https://doi.org/10.1142/9789812774187_0003

No Access
BOX-COX TRANSFORMATIONS AND ROBUST CONTROL CHARTS IN SPC
  • Pages:35–46

https://doi.org/10.1142/9789812774187_0004

No Access
MULTISENSOR DATA FUSION AND ITS APPLICATION TO DECISION MAKING
  • Pages:47–59

https://doi.org/10.1142/9789812774187_0005

No Access
GENERIC SYSTEM DESIGN FOR MEASUREMENT DATABASES – APPLIED TO CALIBRATIONS IN VACUUM METROLOGY, BIO-SIGNALS AND A TEMPLATE SYSTEM
  • Pages:60–72

https://doi.org/10.1142/9789812774187_0006

No Access
EVALUATION OF REPEATED MEASUREMENTS FROM THE VIEWPOINTS OF CONVENTIONAL AND BAYESIAN STATISTICS
  • Pages:73–84

https://doi.org/10.1142/9789812774187_0007

No Access
DETECTION OF OUTLIERS IN INTERLABORATORY TESTING
  • Pages:85–97

https://doi.org/10.1142/9789812774187_0008

No Access
ON APPROPRIATE METHODS FOR THE VALIDATION OF METROLOGICAL SOFTWARE
  • Pages:98–107

https://doi.org/10.1142/9789812774187_0009

No Access
DATA ANALYSIS – A DIALOGUE WITH THE DATA
  • Pages:108–118

https://doi.org/10.1142/9789812774187_0010

Contributed Papers


No Access
A VIRTUAL INSTRUMENT TO EVALUATE THE UNCERTAINTY OF MEASUREMENT IN THE CALIBRATION OF SOUND CALIBRATORS
  • Pages:119–129

https://doi.org/10.1142/9789812774187_0011

No Access
INTERCOMPARISON REFERENCE FUNCTIONS AND DATA CORRELATION STRUCTURE
  • Pages:130–141

https://doi.org/10.1142/9789812774187_0012

No Access
VALIDATION OF SOFT SENSORS IN MONITORING AMBIENT PARAMETERS
  • Pages:142–150

https://doi.org/10.1142/9789812774187_0013

No Access
EVALUATION OF STANDARD UNCERTAINTIES IN NESTED STRUCTURES
  • Pages:151–160

https://doi.org/10.1142/9789812774187_0014

No Access
MEASUREMENT SYSTEM ANALYSIS AND STATISTICAL PROCESS CONTROL
  • Pages:161–170

https://doi.org/10.1142/9789812774187_0015

No Access
A BAYESIAN ANALYSIS FOR THE UNCERTAINTY EVALUATION OF A MULTIVARIATE NON LINEAR MEASUREMENT MODEL
  • Pages:171–178

https://doi.org/10.1142/9789812774187_0016

No Access
METHOD COMPARISON STUDIES BETWEEN DIFFERENT STANDARDIZATION NETWORKS
  • Pages:179–187

https://doi.org/10.1142/9789812774187_0017

No Access
CONVOLUTION AND UNCERTAINTY EVALUATION
  • Pages:188–195

https://doi.org/10.1142/9789812774187_0018

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DIMENSIONAL METROLOGY OF FLEXIBLE PARTS: IDENTIFICATION OF GEOMETRICAL DEVIATIONS FROM OPTICAL MEASUREMENTS
  • Pages:196–203

https://doi.org/10.1142/9789812774187_0019

No Access
DISTANCE SPLINES APPROACH TO IRREGULARLY DISTRIBUTED PHYSICAL DATA FROM THE BRAZILIAN NORTHEASTHERN COAST
  • Pages:204–211

https://doi.org/10.1142/9789812774187_0020

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DECISION-MAKING WITH UNCERTAINTY IN ATTRIBUTE SAMPLING
  • Pages:212–220

https://doi.org/10.1142/9789812774187_0021

No Access
COMBINING DIRECT CALCULATION AND THE MONTE CARLO METHOD FOR THE PROBABILISTIC EXPRESSION OF MEASUREMENT RESULTS
  • Pages:221–228

https://doi.org/10.1142/9789812774187_0022

No Access
IMET – A SECURE AND FLEXIBLE APPROACH TO INTERNET-ENABLED CALIBRATION AT JUSTERVESENET
  • Pages:229–236

https://doi.org/10.1142/9789812774187_0023

No Access
MONTE CARLO STUDY ON LOGICAL AND STATISTICAL CORRELATION
  • Pages:237–244

https://doi.org/10.1142/9789812774187_0024

No Access
THE MIDDLE GROUND IN KEY COMPARISON ANALYSIS: REVISITING THE MEDIAN
  • Pages:245–252

https://doi.org/10.1142/9789812774187_0025

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SYSTEM OF DATABASES FOR SUPPORTING CO-ORDINATION OF PROCESSES UNDER RESPONSIBILITY OF METROLOGY INSTITUTE OF REPUBLIC OF SLOVENIA
  • Pages:253–257

https://doi.org/10.1142/9789812774187_0026

Short Communications


No Access
CONTRIBUTION TO SURFACE BEST FIT ENHANCEMENT BY THE INTEGRATION OF THE REAL POINT DISTRIBUTION
  • Pages:258–261

https://doi.org/10.1142/9789812774187_0027

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COMPUTATIONAL MODELLING OF SEEBECK COEFFICIENTS OF PT/PD THERMOCOUPLE
  • Pages:262–266

https://doi.org/10.1142/9789812774187_0028

No Access
DATA EVALUATION AND UNCERTAINTY ANALYSIS IN AN INTERLABORATORY COMPARISON OF A PYCNOMETER VOLUME
  • Pages:267–270

https://doi.org/10.1142/9789812774187_0029

No Access
PROPAGATION OF UNCERTAINTY IN DISCRETELY SAMPLED SURFACE ROUGHNESS PROFILES
  • Pages:271–275

https://doi.org/10.1142/9789812774187_0030

No Access
COMPUTER TIME (CPU) COMPARISON OF SEVERAL INPUT FILE FORMATS CONSIDERING DIFFERENT VERSIONS OF MCNPX IN CASE OF PERSPONALISED VOXEL-BASED DOSIMETRY
  • Pages:276–279

https://doi.org/10.1142/9789812774187_0031

No Access
A NEW APPROACH TO DATUMS ASSOCIATION FOR THE VERIFICATION OF GEOMETRICAL SPECIFICATIONS
  • Pages:280–283

https://doi.org/10.1142/9789812774187_0032

No Access
MEASUREMENTS OF CATALYST CONCENTRATION IN THE RISER OF A FCC COLD MODEL BY GAMMA RAY TRANSMISSION
  • Pages:284–288

https://doi.org/10.1142/9789812774187_0033

No Access
SOFTWARE FOR DATA ACQUISITION AND ANALYSIS IN ANGLE STANDARDS CALIBRATION
  • Pages:289–292

https://doi.org/10.1142/9789812774187_0034

No Access
CALCULATION OF UNCERTAINTIES IN ANALOGUE DIGITAL CONVERTERS – A CASE STUDY
  • Pages:293–296

https://doi.org/10.1142/9789812774187_0035

No Access
ASYMPTOTIC LEAST SQUARES AND STUDENT-T SAMPLING DISTRIBUTIONS
  • Pages:297–300

https://doi.org/10.1142/9789812774187_0036

No Access
A STATISTICAL PROCEDURE TO QUANTIFY THE CONFORMITY OF NEW THERMOCOUPLES WITH RESPECT TO A REFERENCE FUNCTION
  • Pages:301–305

https://doi.org/10.1142/9789812774187_0037

No Access
NON-PARAMETRIC METHODS TO EVALUATE DERIVATIVE UNCERTAINTY FROM SMALL DATA SETS
  • Pages:306–309

https://doi.org/10.1142/9789812774187_0038

No Access
ALGORITHMS FOR SCANNING PROBE MICROSCOPY DATA ANALYSIS
  • Pages:310–315

https://doi.org/10.1142/9789812774187_0039

No Access
ERROR CORRECTION OF A TRIANGULATION VISION MACHINE BY OPTIMIZATION
  • Pages:316–319

https://doi.org/10.1142/9789812774187_0040

No Access
ATOMIC CLOCK PREDICTION FOR THE GENERATION OF A TIME SCALE
  • Pages:320–324

https://doi.org/10.1142/9789812774187_0041

No Access
SOME PROBLEMS CONCERNING THE ESTIMATE OF THE DEGREE OF EQUIVALENCE IN MRA KEY COMPARISONS AND OF ITS UNCERTAINTY
  • Pages:325–329

https://doi.org/10.1142/9789812774187_0042

No Access
VALIDATION OF WEB APPLICATION FOR TESTING OF TEMPERATURE SOFTWARE
  • Pages:330–334

https://doi.org/10.1142/9789812774187_0043

No Access
MEASUREMENT UNCERTAINTY EVALUATION USING MONTE CARLO SIMULATION: APPLICATIONS WITH LOGARITHMIC FUNCTIONS
  • Pages:335–339

https://doi.org/10.1142/9789812774187_0044

No Access
REALISATION OF A PROCESS OF REAL-TIME QUALITY CONTROL OF CALIBRATIONS BY MEANS OF THE STATISTICAL VIRTUAL STANDARD
  • Pages:340–343

https://doi.org/10.1142/9789812774187_0045

No Access
AN APPROACH TO UNCERTAINTY ANALYSIS EMPHASIZING A NATURAL EXPECTATION OF A CLIENT
  • Pages:344–349

https://doi.org/10.1142/9789812774187_0046

Special Issue


No Access
PREPARING FOR A EUROPEAN RESEARCH AREA NETWORK IN METROLOGY: WHERE ARE WE NOW?
  • Pages:350–359

https://doi.org/10.1142/9789812774187_0047