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Old December 25th, 2006, 01:57 PM

alexti alexti is offline
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Default Re: Will Vanheim Ever Become Spayed?

Quote:
Valandil said:
I'm ignoring much more. That is one of Zeno's paradoxes, ancient problems of the greeks.

The problem here is actually a misunderstanding of infinites. The series is actually convergent to 1/0, not 0. I don't really want to go over the math here, but suffice to say that my conclusion is totally wrong.
I'm not sure what are you trying to say here. The serie obviously converges to {lead}/({speed of hare}-{speed of tortoise}) (that's obvious because it's just the gap divided by speed of gap reduction). I'm not sure if the original mentiones that hare travels faster than tortoise, but I think it's implied. So there isn't any infinities involved here. If one wants to express it through the serie, as in fable, that's a simple geometric serie and the limit was known very long time ago, not sure if the fable predates this knowledge or not.
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