this is for holding javascript data
Brian Jackson edited section_Formulating_the_Recovery_Biases__.tex
almost 9 years ago
Commit id: 8a229c68a7dfbd06b837185159a12d59f6050eb8
deletions | additions
diff --git a/section_Formulating_the_Recovery_Biases__.tex b/section_Formulating_the_Recovery_Biases__.tex
index 944beb9..3319010 100644
--- a/section_Formulating_the_Recovery_Biases__.tex
+++ b/section_Formulating_the_Recovery_Biases__.tex
...
There is a maximum closest approach distance $b_{\rm max}$ beyond which a devil will produce an undetectably small pressure signal, $P_{\rm obs} < P_{\rm min}$, and $b_{\rm max} = \left( \dfrac{\Gamma_{\rm act}}{2} \right) \sqrt{ \dfrac{P_{\rm act} - P_{\rm min}}{P_{\rm min}}}$. Devils with $b > b_{\rm max}$ will not be detected, which will bias our recovered population of devil parameters in ways that depend on the parameters themselves. It's worth noting that $\Gamma_{\rm act}$ may depend on $P_{\rm act}$, a point we will return to in Section. Again, this recovery bias results from the miss distance effect. Next, we use these equations to formulate the recovery biases and signal distortions resulting from the miss distance effect.