josh
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 Sep13 awarded Enlightened Feb11 awarded Nice Answer Sep11 awarded Yearling Mar8 comment What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) This is fantastic. Feb17 awarded Custodian Feb17 reviewed No Action Needed Find the distribution of X, EX, and VarX. Feb15 comment Paul Erdos's Two-Line Functional Analysis Proof @gnometorule: The "open problems homework" anecdote actually happens to be true, if not as romanticized: snopes.com/college/homework/unsolvable.asp Feb15 comment Real Analysis Inequality Questions It's easier to work with everything at once. For (a), since you've noticed that $x\cdot y - x\cdot z=||x||(||y||cost-||z||cosk)$, you could use the triangle inequality: $|||x||(||y||cost-||z||cosk|<2(||y||+||z||)<2(3+4)=14$. It looks good to me otherwise. Nov26 comment What sample size do I need to justify my suspicions? (Note that this depends on the degree of certainty [e.g. 95%] you require before stating your conviction, which could depend on a number of things. See also: xkcd.com/1132) Nov26 awarded Critic Nov26 comment Convergence proof-how to apply this theorem? It's bounded because it can only receive two values: 0 and -1. Nov6 comment Methodology to solve a Math IQ puzzle? Got it, thanks. I misunderstood you at first. Nov6 comment Which side has winning strategy in Go? A rare diplomatic solution :). Nov5 comment Methodology to solve a Math IQ puzzle? (This is a laaaate question), how do you consider the remainders? Sep11 awarded Yearling Jun4 awarded Nice Answer May22 comment Reasoning Aptitude Thanks for prettifying the answer, Marvis. I'm awful with Latex :). May22 revised Reasoning Aptitude added 12 characters in body May22 answered Reasoning Aptitude Dec6 revised Probability of being late edited body