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 | Re: what? | |
| Posted By: thermoplyae | Date: 10/25/06 7:29 a.m. |
| In Response To: what? (MrHen) : How an AI behaves during this growth is uncertain, but the three stages are
: I am confused as to why you responded to a post that gave the definition of
That the memory usage grows exponentially does not tell you anything about the processes themselves. There are plenty of algorithms that solve problems that are exponential in time or space, but what they're actually capable of /doing/ only increases by a small amount each time you allow it to consume more resources. Furthermore, that a particular part of the program increases exponentially in space doesn't mean that the rest of the program has anything to do with it. There are a lot of reasons why giving the definition of exponential growth might not be a worthwhile post, which was the original reason I said anything. I love math discussion as much as the next guy, but I think we should avoid using phrases like "A, and this means B" when A and B aren't necessarily related at all. --- Also, come to think of it, there's more here. For instance, what the scientists saw could have been logarithmic, which behaves exponentially and then tapers off to a carrying capacity. Most likely it was none of the above (as any diff eq. student can tell you), because actual applications very rarely have closed forms for resource consumption, and in 95% of cases the phrase "exponential growth" isn't really a tight upper bound. Durandal was on the Marathon for a couple hundred years (iirc). You can come up with numbers that reflect that statistic, but that doesn't make them mean anything. I can come up with a linear curve and say 'haha exponential growth sure does dominate this', but that doesn't make it at all correct, or even close to correct. I guess my real point is that we don't know enough about Marathon to do any meaningful math here (where "here" means "concerning this particular area of the story").
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