this is for holding javascript data
Brian Jackson edited The_fact_that_larger_faster__.tex
over 8 years ago
Commit id: 41519bd1fde565604ff6ef5f06d43f25db9780b0
deletions | additions
diff --git a/The_fact_that_larger_faster__.tex b/The_fact_that_larger_faster__.tex
index 46f6e5b..9dc2695 100644
--- a/The_fact_that_larger_faster__.tex
+++ b/The_fact_that_larger_faster__.tex
...
The fact that larger, faster dust devils cover more area means that they are more likely to be recovered by fixed station surveys. We can quantify this bias $f$ by taking the ratio of track areas for a given dust devil to the largest
area: area, $A_{\rm max}$:
\begin{equation}
\label{eqn:recovery_bias}
f = \dfrac{A(P_{\rm act}, \Gamma_{\rm act})}{A_{\rm max}} = \left( \dfrac{\Gamma_{\rm act}}{\Gamma_{\rm max}} \right) \sqrt{\dfrac{P_{\rm act} - P_{\rm min}}{P_{\rm max} - P_{\rm min}}} \left( \dfrac{\upsilon}{\upsilon_{\rm max}} \right) \left( \dfrac{\tau}{\tau_{\rm max}} \right).
\end{equation}
Now, there is no reason, {\it a priori}, for the devil with the deepest profile also to have the widest profile or the largest velocity.