From: W. Trevor King Date: Mon, 27 May 2013 12:36:04 +0000 (-0400) Subject: calibcant/theory.tex: Explicitly list scaling parameters G_0 and m X-Git-Tag: v1.0~117 X-Git-Url: http://git.tremily.us/?a=commitdiff_plain;h=f9155de013ad1e1c6847df879d2fe7848023d959;p=thesis.git calibcant/theory.tex: Explicitly list scaling parameters G_0 and m Thanks Mom! --- diff --git a/src/calibcant/theory.tex b/src/calibcant/theory.tex index ed602cf..ef87a36 100644 --- a/src/calibcant/theory.tex +++ b/src/calibcant/theory.tex @@ -344,8 +344,8 @@ these replacements in \cref{eq:model-psd,eq:DHO-var}, we have \avg{V_p(t)^2} &= \frac{\pi \sigma_p^2 G_0}{2 m^2 \beta \omega_0^2} = \sigma_p^2 \avg{x(t)^2} \;. \end{align} -The scaling parameters cannot be independently fit though, so lets -condense the power spectrum of the right hand side of +The scaling parameters---$G_0$ and $m$---cannot be fit independently, +so we condense the power spectrum of the right hand side of \cref{eq:DHO-ddt-Vp} into a single \begin{equation} G_1 \equiv \frac{\sigma_p^2 G_0}{m^2} \;. \label{eq:Gone-def}