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Brian Jackson edited subsection_The_Pressure_Signal_Full__.tex
almost 9 years ago
Commit id: bd76a08ebef823e5c98d235dd0ef5dba2b61fca9
deletions | additions
diff --git a/subsection_The_Pressure_Signal_Full__.tex b/subsection_The_Pressure_Signal_Full__.tex
index 47bb18c..8a6d822 100644
--- a/subsection_The_Pressure_Signal_Full__.tex
+++ b/subsection_The_Pressure_Signal_Full__.tex
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\subsection*{The
Pressure Signal Full-Width/Half-Max $\Gamma_{\rm act}$ Recovery Bias and Distortion}
Now turning to $\Gamma$-values, a bias similar to that above favors recovery of devils with larger $\Gamma_{\rm act}$-values, and by analogy, we can cast this recovery bias in terms of relative areas, suppressing the term involving pressure:
\begin{equation}
f_{\rm \left( P_{\rm act} =\ {\rm const.} \right)} \equiv \left( \dfrac{\Gamma_{\rm act}}{\Gamma_{\rm max}} \right)^2.
...
n(\Gamma_{\rm obs}) = 8k\ \Gamma_{\rm max}^{-2}\ \left( \Gamma_{\rm obs} - \Gamma_{\rm min} \right) \Gamma_{\rm obs}.
\end{equation}
Figure \ref{fig:n-Gammaobs_from_uniform-n-Gammaact} illustrates this result (using linear axes since the curves are not as steep as in the previous figures).