From: W. Trevor King Date: Fri, 17 May 2013 17:56:37 +0000 (-0400) Subject: calibcant/overview.tex: Add V_p, \sigma_p, and \pi to the nomenclature X-Git-Tag: v1.0~177 X-Git-Url: http://git.tremily.us/?a=commitdiff_plain;h=901ba0cbd64593ec48bd68c36cf3fc7f46ec0ec3;p=thesis.git calibcant/overview.tex: Add V_p, \sigma_p, and \pi to the nomenclature Mom pointed out that they were missing. --- diff --git a/src/calibcant/overview.tex b/src/calibcant/overview.tex index 9b8c598..08004f3 100644 --- a/src/calibcant/overview.tex +++ b/src/calibcant/overview.tex @@ -29,6 +29,11 @@ keeping $V_p$ and $\sigma_p$ separate in our calculation of $\kappa$, we can gauge the relative importance errors in each parameter and calculate the uncertainty in our estimated $\kappa$ (\cref{sec:calibcant:discussion:errors}). +% +\nomenclature{$V_p$}{The vertical photodiode deflection voltage + (\cref{fig:afm-schematic,eq:x-from-Vp}).} +\nomenclature{$\sigma_p$}{The linear photodiode sensitivity to + cantilever displacement (\cref{fig:afm-schematic,eq:x-from-Vp}).} In order to filter out noise in the measured value of $\avg{V_p^2}$ we fit the measured cantilever deflection to the expected theoretical @@ -53,6 +58,8 @@ value for $V_p$ is given by \end{equation}} \nomenclature{$f$}{Frequency (hertz)} \nomenclature{$f_0$}{Resonant frequency (hertz)} +\nomenclature{$\pi$}{Archmides' constant, $\pi=3.14159\ldots$. The + ratio of a circle's circumference to its diameter.} Combining \cref{eq:equipart_k,eq:x-from-Vp,eq:avg-Vp-Gone-f}, we have