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Verified Commit 53071882 authored by Björn Ludwig's avatar Björn Ludwig
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wip(thesis): refine preliminaries

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...@@ -10,7 +10,7 @@ regarding those definitions. ...@@ -10,7 +10,7 @@ regarding those definitions.
\section{Terms related to measurement uncertainty}\label{sec:terms-related-to \section{Terms related to measurement uncertainty}\label{sec:terms-related-to
-measurement-uncertainty} -measurement-uncertainty}
\begin{definition}[uncertainty] \begin{definition}[Uncertainty]
\label{def:uncertainty} \label{def:uncertainty}
(or \enquote*{measurement uncertainty} or \enquote*{uncertainty of measurement}) (or \enquote*{measurement uncertainty} or \enquote*{uncertainty of measurement})
(non-negative) parameter, associated with the result of a measurement, that (non-negative) parameter, associated with the result of a measurement, that
...@@ -18,7 +18,6 @@ regarding those definitions. ...@@ -18,7 +18,6 @@ regarding those definitions.
the measurand the measurand
\end{definition} \end{definition}
\begin{definition}[Standard uncertainty] \begin{definition}[Standard uncertainty]
\label{def:standard-uncertainty} \label{def:standard-uncertainty}
(or \enquote*{standard measurement uncertainty} or \enquote*{standard uncertainty (or \enquote*{standard measurement uncertainty} or \enquote*{standard uncertainty
...@@ -35,7 +34,8 @@ regarding those definitions. ...@@ -35,7 +34,8 @@ regarding those definitions.
these other quantities weighted according to how the measurement result varies these other quantities weighted according to how the measurement result varies
with changes in these quantities with changes in these quantities
\begin{equation} \begin{equation}
\uc^2(y) = \sum_{i=1}^{N} \left( \frac{\partial f}{\partial x_i} \right)^2 u^2(x_i) \uc(y) = \sqrt{\sum_{i=1}^{N} \left( \frac{\partial f}{\partial x_i} \right)^2 u^2
(x_i)}
\label{eq:combined-standard-uncertainty} \label{eq:combined-standard-uncertainty}
\end{equation} \end{equation}
\end{definition} \end{definition}
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