From: W. Trevor King <wking@tremily.us>
Date: Fri, 24 May 2013 16:23:59 +0000 (-0400)
Subject: calibcant/theory.tex: Add 'm' (mass) to nomenclature
X-Git-Tag: v1.0~135
X-Git-Url: http://git.tremily.us/?a=commitdiff_plain;h=5c9ea02dc84b95889da14a2cc43f01e9c0a9f429;p=thesis.git

calibcant/theory.tex: Add 'm' (mass) to nomenclature

Thanks Mom!

Also add back references from some DHO nomenclature entries to
important equations involving the symbol in question.
---

diff --git a/src/calibcant/theory.tex b/src/calibcant/theory.tex
index a387935..cfd035e 100644
--- a/src/calibcant/theory.tex
+++ b/src/calibcant/theory.tex
@@ -20,10 +20,10 @@ where $x$ is the displacement from equilibrium\index{$x$},
 During the non-contact phase of calibration,
  $F(t)$ comes from random thermal noise.
 %
-\nomenclature{$\beta$}{Damped harmonic oscillator drag-acceleration
-  coefficient $\beta \equiv \gamma/m$}
+\nomenclature{$m$}{Effective mass of a damped harmonic oscillator
+  (\cref{eq:DHO}).}
 \nomenclature{$\gamma$}{Damped harmonic oscillator drag coefficient
-  $F_\text{drag} = \gamma\dt{x}$}
+  $F_\text{drag} = \gamma\dt{x}$ (\cref{eq:DHO}).}
 \nomenclature{$\dt{s}$}{First derivative of the time-series $s(t)$
   with respect to time.  $\dt{s} = \deriv{t}{s}$}
 \nomenclature{$\ddt{s}$}{Second derivative of the time-series $s(t)$
@@ -211,9 +211,11 @@ where $\omega_0 \equiv \sqrt{\kappa/m}$\index{$\omega_0$} is the
 resonant angular frequency and $\beta \equiv \gamma / m$ is the
 drag-acceleration coefficient.\index{Damped harmonic
   oscillator}\index{$\gamma$}\index{$\kappa$}\index{$\beta$}
-
+%
+\nomenclature{$\beta$}{Damped harmonic oscillator drag-acceleration
+  coefficient $\beta \equiv \gamma/m$ (\cref{eq:DHO-xmag}).}
 \nomenclature{$\omega_0$}{Resonant angular frequency (radians per
-  second)}
+  second, \cref{eq:DHO-xmag}).}
 
 We compute the \PSD\ by plugging \cref{eq:DHO-xmag} into
 \cref{eq:psd-def}