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computer
on Nov 4, 2014
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Please grow your buffers exponentially
What's the statistical distribution for the location of the pebble? (Without that, the answer is "it depends"/undefined.)
Note that a uniform distribution isn't possible over an infinite line.
praptak
on Nov 4, 2014
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Agreed on the impossibility of the uniform distribution. Partially disagree on undefined: a function from the initial distance to the travel distance can be defined regardless of the distribution of the initial distance.
eru
on Nov 4, 2014
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Go with any scale invariant distribution.
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Note that a uniform distribution isn't possible over an infinite line.