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[12:05:37] <bbear> hello
[12:05:51] <bbear> let's say 10 peers have a ratio of 1.1 : 1
[12:06:11] <bbear> does that mean that an 11th peer would have got the file for free ?
[12:06:41] <DWKnight> potentially
[12:06:53] <DWKnight> you won't get that kind of breakdown in real-world conditions though
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[13:24:56] <bbear> what is the mathematical theory behind bittorrent ?
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[13:26:15] <DeHackEd> sum from I=0 to $numpeers of upstream[$i]  > $upstream_of_one
[13:27:48] <bbear> DeHackEd: which language is it ?
[13:28:31] <bbear> \sum_{l=0}^{n} u_{l} = u_{tot}
[13:28:47] <DeHackEd> well that would be latex
[13:28:55] <DeHackEd> I call mine "making s**t up as I go"
[13:29:14] <bbear> where n is the number of peers, u_{l} is upload of peer l, and u_{tot} the total upload capability.
[13:29:50] <DeHackEd> right, but I said that it's greater than the sum of one guy. by which I mean some web site offering up downloads
[13:30:35] <DeHackEd> I mean if you order a 100 megabit web site and you get slammed with something really really popular.. bittorrent scales reasonably well to give good transfer rates while you will fall over from the load
[13:30:47] <DeHackEd> or is there some other "thoery" you're looking for
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[13:38:19] <bbear> DeHackEd: I was thinking exactly if it's possible to have a continuous approximation for the model from infinitesimal mathematics
[13:38:31] <bbear> it doesn't matter.
[13:38:48] <bbear> Yes bittorrent makes the scaling easy if you have a seed with a broad upload band.
[13:39:08] <bbear> But it works actually linearly, this is not exponential or even quadratic.
[13:48:00] <DeHackEd> well, depends on the connections. most of us have cable or DSL. but there's a few things not considered: seeders are free bandwidth (for as long as they last) and there are people with very fast internet connections. hopefully our hypothetical 100 mbit initial seeder will contribute for a long time.
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   July 30, 2011  
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