User talk:Temperal/The Problem Solver's Resource Competition

< User talk:Temperal
Revision as of 17:33, 12 October 2007 by Azjps (talk | contribs) (Problem 2: ?)

Problem 2

I don't think the question is worded correctly. I haven't actually thought much about it yet, but a variable $o$ is introduced and not used, and the $l$ simply disappears from the ending condition (but the condition given is symmetric). And there are simple counter-proofs, let $p = 0.1$ or some other value close to 0, and then it quickly becomes apparent that the entire denominator will approach $0$, and the inequality will be false. Azjps (talk) 21:49, 10 October 2007 (EDT)

Random counter-example: $p = l = m = 0.1$, $k = 0.299833$, $n = 0.172916$. Then the fraction becomes $111.4$.
And problem 3, the same equation is given for both circles. I'm assuming you meant $9$ for one of the radii? Azjps (talk) 18:33, 12 October 2007 (EDT)