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i havent read all codes and posts.
put proofing that b/p=0.5 will lead to 0=0
as rolf said that small difference between 0.5 and 0.49 which was later used to divide a number and thus make it bigger is very important.
in fact, im still not convinced we can study such tendancies without limits, the difference to be used is theoric epsilon and not 0.1. it still works however if you want numbers and just numbers.
i will sum it up and add that a negligeable 0.0000001 difference will add thousands maybe millions of years. but as hussam suggested using 0.49, just for fun
Last edited by NuclearVision (September 22 2014)
this is the analysis of the equation:
r=(60+35n)/(72000+70n) using invader notations (n=years ; r=ratio)
n=(r72000-60)/(35-70r)
lim(r-> 0.5, n)= lim(r->0.5, (r72000-60)/(35-70r))=(0.5*72000-60)/(0-0)=+inf or =((0.5-e)*72000-60)/(35-70(0.5-e) where e is 0+ or epsilon, like 0.0000...1