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Measurement Uncertainties in Science and Technology

This book recasts the classical Gaussian error calculus from scratch, the inducements concerning bothrandom and unknown systematic errors. The idea of this bookis to create a formalism being fit to localize the true values of physical quantities considered - truewith respectto 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 errors as biases and brings random errors to bear via enhanced confidence intervals as laid down by students. The significantly extended second edition thoroughly restructures and systematizes the text as a whole and illustrates the formalism by numerous numerical examples. They demonstrate the basic principles of how tounderstand uncertainties to localize the true values of measured values - a perspective decisive in view of the contested physical explorations.

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  • "This book recasts the classical Gaussian error calculus from scratch, the inducements concerning bothrandom and unknown systematic errors. The idea of this bookis to create a formalism being fit to localize the true values of physical quantities considered - truewith respectto 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 errors as biases and brings random errors to bear via enhanced confidence intervals as laid down by students. The significantly extended second edition thoroughly restructures and systematizes the text as a whole and illustrates the formalism by numerous numerical examples. They demonstrate the basic principles of how tounderstand uncertainties to localize the true values of measured values - a perspective decisive in view of the contested physical explorations."@en
  • "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 errors as biases and brings random errors to bear via enhanced confidence intervals as laid down by students.The significantly extended second edition thoroughly restructures and systematizes the text as a whole and illustrates the formalism by numerous numerical examples. They demonstrate the basic principles of how to understand uncertainties to localize the true values of measured values - a perspective decisive in view of the contested physical explorations."@en
  • "At the turn of the 19th century, Carl Friedrich Gauss founded error calculus by predicting the then unknown position of the minor planet Ceres. Ever since, error calculus has occupied a place at the heart of science. In this book, Grabe illustrates the breakdown of traditional error calculus in the face of modern measurement techniques."@en
  • ""At the turn of the 19th century, Carl Friedrich Gaub founded error calculus by predicting the then unknown position of the planet Ceres. Ever since, error calculus has occupied a place at the heart of science. In this book, Grabe illustrates the breakdown of traditional error calculus in the face of modern measurement techniques. Revising Gaub's error calculus ab initio, he treats random and unknown systematic errors on an equal footing from the outset. Furthermore, Grabe also proposes what may be called well defined measuring conditions, a prerequisite for defining confidence intervals that are consistent with basic statistical concepts. The resulting measurement uncertainties are as robust and reliable as required by modern-day science, engineering and technology."--P. 4 de la couv."
  • "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 err."@en

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  • "Conference proceedings"@en
  • "Electronic books"
  • "Electronic books"@en
  • "History"@en

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  • "Measurement Uncertainties in Science and Technology"@en
  • "Measurement Uncertainties in Science and Technology"
  • "Measurement uncertainties in science and technology"
  • "Measurement uncertainties in science and technology"@en