Brian Jackson edited subsection_The_Pressure_Signal_Full__.tex  almost 9 years ago

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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).