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
\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