From: W. Trevor King <wking@tremily.us>
Date: Wed, 1 May 2013 23:12:11 +0000 (-0400)
Subject: apparatus/cantilever-calib.tex: Move nomenclature out of paragraph
X-Git-Tag: v1.0~273
X-Git-Url: http://git.tremily.us/?a=commitdiff_plain;h=d747de689463606291669dc13b24832e472352c0;p=thesis.git

apparatus/cantilever-calib.tex: Move nomenclature out of paragraph

This makes it easier to read the text of the paragraph itself, which
had previously ended a paragraph with a sentence (fixed now).
---

diff --git a/src/apparatus/cantilever-calib.tex b/src/apparatus/cantilever-calib.tex
index 2633d5c..68143b5 100644
--- a/src/apparatus/cantilever-calib.tex
+++ b/src/apparatus/cantilever-calib.tex
@@ -15,7 +15,14 @@ The basic idea is to use the equipartition theorem\citep{hutter93},
 \end{equation}
 where $k_B$ is Boltzmann's constant, $T$ is the absolute temperature,
 and $\avg{x^2}$ denotes the expectation value of $x^2$ as measured
-over a very long interval $t_T$,
+over a very long interval $t_T$.  Solving the equipartition theorem
+for $\kappa$ yields
+\begin{equation}
+  \kappa = \frac{k_BT}{\avg{x^2}} \;, \label{eq:equipart_k}
+\end{equation}
+so we need to measure (or estimate) the temperature $T$ and variance
+of the cantilever position $\avg{x^2}$ in order to estimate $\kappa$.
+
 \nomenclature{$k_B$}{Boltzmann's constant,
   $k_B = 1.380 65\E{-23}\U{J/K}$\cite{codata-boltzmann}}
 \nomenclature{$T$}{Absolute temperature (Kelvin)}
@@ -23,12 +30,6 @@ over a very long interval $t_T$,
   \begin{equation}
     \avg{A} \equiv \iLimT{A} \;.
   \end{equation}}
-Solving the equipartition theorem for $\kappa$ yields
-\begin{equation}
-  \kappa = \frac{k_BT}{\avg{x^2}} \;, \label{eq:equipart_k}
-\end{equation}
-so we need to measure (or estimate) the temperature $T$ and variance
-of the cantilever position $\avg{x^2}$ in order to estimate $\kappa$.
 
 To find $\avg{x^2}$, the raw photodiode voltages $V_p(t)$ are
 converted to distances $x(t)$ using the photodiode sensitivity