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Foolish Bob
Caldari
State War Academy
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Posted - 2007.05.06 11:27:00 -
[1]
geeky sidebar:
someone might want to double check to make sure, but I was playing around with the cap formula whilst thinking about bonuses, and I suddenly noticed that with a bit of judicious redefining, you can express the recharge rate as a function of time as
Rate=tau*sqrt(Cr^2-Cr^4)
where tau is as defined by OP and Cr is the fraction of Cap that is empty ( (1-C/C0) in OP speak)
which has to my mind three main advantages going for it: first, it's not so intensive to calculate; second it fits the paradigm of how CCP seem to work things out (qv connections and shield hardeners); and finally, it yields a max recharge rate (independant of tau) when your cap is at (1-1/sqrt(2)) (just shy of 30%) capacity which fits with observed facts (always useful when formulating an hypothesis)
anyway, check it out for yourselves. There was no fermat moment of insight so you should be able to get there too but I don't want to risk contaminating the verification, so I'll only give pointers if you're really stumped.
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Foolish Bob
Caldari
The Shaw
THE R0CK
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Posted - 2007.08.12 09:55:00 -
[2]
To be clear, my formula is in no way empirical - I was playing with the derivative of the OP's formula and it just kind of popped out. I should also note that I made everything fractional to help make sure that I didn't make any mistakes with the homogeneity of the equation - that's why there's no reference to C0 - should have made that clearer, sorry.
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Foolish Bob
Caldari
The Shaw
THE R0CK
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Posted - 2007.12.19 12:45:00 -
[3]
Edited by: Foolish Bob on 19/12/2007 12:45:42
The details of the formula are fairly irrelevant to most people, but as it applies to shields and capacitors both, the implications are useful. It's been known for a while that recharge rate is non-linear, so if you're in a drake, for eg, it's nice to put a firm number to the amount of damage you can soak up - in this case, a little fiddling gives you
Tank(damage_type)=(k/(2*(1-res)))*(HP/T)
where res is your shild resistance, HP is your max shield strength and T is your recharge time.
The same is true when asking yourself if you can run all your mods/guns without boosters.
 Originally by: Malarkin
Sweet Jesus. My head just exploded.
Can someone please distill the previous 4 pages of Stephen Hawking's notebook into a short summary of what it means and how we can use it to our benefit in Eve?
Thanks, and give Mr. Hawking his notebook back!!
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