Screen LibraryMeasurement uncertainties in science and technology /
This book recasts the classical Gaussian error calculus from scratch, the inducements concerning both random and unknown systematic errors. The idea of this book is to create a formalism being fit to localize the true values of physical quantities considered - true with respect to the set of predefi...
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| Main Authors: | |
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| Published: |
Springer,
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| Publisher Address: | Berlin : |
| Publication Dates: | [2014] |
| Literature type: | Book |
| Language: | English |
| Edition: | Second edition. |
| Subjects: | |
| Summary: |
This book recasts the classical Gaussian error calculus from scratch, the inducements concerning both random and unknown systematic errors. The idea of this book is to create a formalism being fit to localize the true values of physical quantities considered - true with respect to the set of predefined physical units. Remarkably enough, the prevailingly practiced forms of error calculus do not feature this property which however proves in every respect, to be physically indispensable. The amended formalism, termed Generalized Gaussian Error Calculus by the author, treats unknown systematic e |
| Carrier Form: | xiv, 401 pages : illustrations (some color) ; 24 cm |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
9783319048871 3319048872 |
| Index Number: | QA465 |
| CLC: |
O4-34 TB9 |
| Call Number: | TB9/G727/2nd ed. |
| Contents: | 1. Basic ideas of measurement -- 2. Formalization of measuring processes -- 3. Normal parent distributions -- 4. Estimators and expectations -- 5. Bias and randomness -- 6. Error propagation, two variables -- 7. Error propagation, m variables -- 8. Concatenated functions -- 9. Least square formalism -- 10. Consequences of systematic errors -- 11. Uncertainties of least square estimators -- 12. Uncertainty spaces -- 13. Straight lines -- 14. Exponentials -- 15. Planes -- 16. Circles -- 17. Parabolas -- 18. Least squares trigonometric polynomials -- 19. dissemination of units -- 20. Calibratio |