deletions | additions       diff --git a/Derive L.tex b/Derive L.tex  index 7269c68..fce1d12 100644  --- a/Derive L.tex  +++ b/Derive L.tex 
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L_c \sim (4V)^{1/4},  \end{equation}  which states that at any given time the minimum value for thenumber of galactic  communicative civilizations in order to achieve phase lifetime required for  contact to occur  scales with the volume of the galaxy to the power 1/4. This is also the scaling for then minimum the maximum number of  communicative phase lifetime required for contact. civilizations in the Galaxy.  The absence of a message then allows to estimate implies  that in our Galaxy $L  It also means that at this time in our Galaxy there should be less than $N\approx 350...625$ communicative civilizations.