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 Re: They also have a forced locality Posted By: ukimalefu Date: 10/24/06 8:53 p.m. In Response To: Re: They also have a forced locality (Document) : Exponential growth doesn't automatically equal doubling, though. It could be : something like needing using 1% more CPU time each day. : Days would also be a weird timeframe for an AI to use, but the point is that : mathematically speaking, the shape of the growth curve doesn't tell you : anything about how fast Rampancy progresses. In mathematics, a quantity that grows exponentially is one whose growth rate is always proportional to its current size. Such growth is said to follow an exponential law (but see also Malthusian growth model). This implies that for any exponentially growing quantity, the larger the quantity gets, the faster it grows. But it also implies that the relationship between the size of the dependent variable and its rate of growth is governed by a strict law, of the simplest kind: direct proportion. It is proved in calculus that this law requires that the quantity is given by the exponential function, if we use the correct time scale. This explains the name. http://en.wikipedia.org/wiki/Exponential_growth

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 Cybertonics, AIs, and fundamental issues J-M 4/2/05 1:37 p.m. Re: Cybertonics, AIs, and fundamental issues *NM* J-M 4/2/05 1:37 p.m. Re: Cybertonics, AIs, and fundamental issues J-M 4/2/05 1:38 p.m. Re: Cybertonics, AIs, and fundamental issues Bob-B-Q 4/2/05 2:29 p.m. Re: Cybertonics, AIs, and fundamental issues duality 4/2/05 8:20 p.m. Re: Cybertonics, AIs, and fundamental issues J-M 4/3/05 7:03 a.m. They also have a forced locality MrHen 4/3/05 8:52 a.m. Does seem that way. J-M 4/3/05 10:33 a.m. Continuity howekern 4/3/05 4:22 p.m. Re: Continuity J-M 4/3/05 8:45 p.m. Re: Continuity howekern 4/5/05 3:31 p.m. Copied identities MrHen 4/5/05 6:44 p.m. Continuity again Forrest of B.org 4/5/05 7:29 p.m. Re: They also have a forced locality Chlazza 4/3/05 10:55 a.m. Interesting. J-M 4/3/05 1:01 p.m. Re: Interesting. Chlazza 4/3/05 2:45 p.m. Re: Interesting. J-M 4/3/05 3:19 p.m. Copied people MrHen 4/3/05 5:37 p.m. Re: Interesting. thermoplyae 4/3/05 6:45 p.m. Re: Interesting. J-M 4/3/05 8:49 p.m. At least twice MrHen 4/4/05 5:34 a.m. Google just shows those two. *NM* MrHen 4/4/05 5:57 a.m. Re: Interesting. thermoplyae 4/6/05 11:41 a.m. Re: Interesting. Chaemera 4/3/05 8:17 p.m. modern AIs Josh M. 4/13/05 7:53 p.m. daisy daisy.... *NM* duality 4/13/05 9:04 p.m. Re: Interesting. Document 10/24/06 7:53 a.m. copying neural networks? MrHen 10/24/06 4:45 p.m. Re: They also have a forced locality howekern 4/5/05 4:03 p.m. Re: They also have a forced locality blake37 4/5/05 4:25 p.m. Yow... and I agree. MrHen 4/5/05 7:12 p.m. Re: They also have a forced locality J-M 4/6/05 1:56 a.m. Re: They also have a forced locality Steve Levinson 4/6/05 7:44 a.m. Re: They also have a forced locality J-M 4/6/05 5:50 p.m. Re: They also have a forced locality MrHen 10/24/06 5:54 p.m. Re: They also have a forced locality Forrest of B.org 10/24/06 6:29 p.m. Where is Leela's last message? MrHen 10/25/06 5:01 a.m. Re: They also have a forced locality Document 10/25/06 9:50 a.m. they spelled it wrong... *NM* MrHen 10/25/06 10:18 a.m. Re: They also have a forced locality Document 10/24/06 8:23 p.m. Re: They also have a forced locality ukimalefu 10/24/06 8:53 p.m. Re: They also have a forced locality thermoplyae 10/24/06 10:49 p.m. what? MrHen 10/25/06 5:21 a.m. Re: what? thermoplyae 10/25/06 7:29 a.m. misunderstandings... :P MrHen 10/25/06 8:45 a.m. Re: misunderstandings... :P Document 10/25/06 9:52 a.m. thanks! you rock... MrHen 10/25/06 10:19 a.m. Re: misunderstandings... :P thermoplyae 10/25/06 11:57 a.m. oh, got it MrHen 10/25/06 12:59 p.m. Re: oh, got it thermoplyae 10/25/06 1:26 p.m. #alephone, eh? MrHen 10/25/06 8:30 p.m. Re: #alephone, eh? thermoplyae 10/25/06 11:17 p.m. Rampancy and Exponentiatial Growth Forrest of B.org 10/25/06 4:15 p.m. Re: Rampancy and Exponentiatial Growth thermoplyae 10/25/06 11:14 p.m. More numbers MrHen 10/25/06 5:18 a.m. AIs as "Ghosts in the machine" ForceMorph 4/8/05 6:16 p.m. Re: AIs as "Ghosts in the machine" Forrest of B.org 4/8/05 8:05 p.m. Shades of Mamoru Oshii... *NM* Bob-B-Q 4/9/05 5:56 a.m. Re: "a planetary sized network" Document 10/25/06 4:51 p.m. My likely-nonsense theory howekern 4/3/05 4:10 p.m. Re: My likely-nonsense theory Chaemera 4/3/05 8:28 p.m. Re: My likely-nonsense theory J-M 4/3/05 8:45 p.m. Durandal has you! *NM* ukimalefu 4/3/05 10:06 p.m. Re: Durandal has you! J-M 4/3/05 10:18 p.m. Re: My likely-nonsense theory MrHen 4/4/05 5:47 a.m. Re: My likely-nonsense theory Steve Levinson 4/4/05 12:19 p.m. Stages of Rampancy in Human Psychology Forrest of B.org 4/3/05 10:20 p.m. Re: Stages of Rampancy in Human Psychology Forrest of B.org 4/3/05 10:22 p.m. Re: Stages of Rampancy in Human Psychology MrHen 4/4/05 5:55 a.m. Re: Stages of Rampancy in Human Psychology Document 11/1/06 9:31 a.m. Re: Cybertonics, AIs, and fundamental issues J-M 4/6/05 5:55 p.m. Re: Cybertonics, AIs, and fundamental issues Forrest of B.org 4/7/05 8:34 a.m. Re: Cybertonics, AIs, and fundamental issues J-M 4/7/05 4:37 p.m. Re: Cybertonics, AIs, and fundamental issues Forrest of B.org 4/7/05 5:10 p.m. Re: Cybertonics, AIs, and fundamental issues J-M 4/8/05 1:41 a.m. Re: Cybertonics, AIs, and fundamental issues Steve Levinson 4/8/05 8:29 a.m. Re: Cybertonics, AIs, and fundamental issues duality 4/11/05 1:57 p.m. Doesn't account for the world reset. MrHen 4/13/05 5:40 a.m. Re: Doesn't account for the world reset. Andrew Nagy (mb) 4/13/05 10:48 a.m. Re: Doesn't account for the world reset. howekern 4/13/05 4:39 p.m. Re: Doesn't account for the world reset. ukimalefu 4/14/05 12:52 p.m. Yeah, but that's boring MrHen 4/15/05 8:03 a.m. Re: Cybertonics, AIs, and fundamental issues Forrest of B.org 4/11/05 3:11 p.m. Re: Cybertonics, AIs, and fundamental issues J-M 4/11/05 3:42 p.m. Re: Cybertonics, AIs, and fundamental issues Document 10/24/06 8:49 a.m. Re: Cybertonics, The Autonomy of an AI AlexZander 10/30/06 2:35 p.m.

 [ Post a Reply | Message Index | Read Prev Msg | Read Next Msg ]Pre-2004 Posts

 Message: : In mathematics, a quantity that grows exponentially is one whose growth rate : is always proportional to its current size. Such growth is said to follow : an exponential law (but see also Malthusian growth model). This implies : that for any exponentially growing quantity, the larger the quantity gets, : the faster it grows. But it also implies that the relationship between the : size of the dependent variable and its rate of growth is governed by a : strict law, of the simplest kind: direct proportion. It is proved in : calculus that this law requires that the quantity is given by the : exponential function, if we use the correct time scale. This explains the : name. : http://en.wikipedia.org/wiki/Exponential_growth If you'd like to include a link to another page with your message,please provide both the URL address and the title of the page: If necessary, enter your password below:

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