KalEl
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 Mar6 answered Prove that: $\sqrt[3]{a_1^3+ a_2^3 +\cdots+a_n^3} \le \sqrt{a_1^2 + a_2^2 +\cdots+a_n^2}$ Mar5 answered Geometric probability question, find the probability that the area of the triagle is more than twelve. Feb26 awarded Popular Question Aug18 awarded Yearling Mar30 comment Examples of mathematical results discovered “late” ... So if a third point lies in $l'$, repeat to get two points line joining which has the closest point at even lower non-zero $\delta''$. Since there are finitely many lines with 2 points from the set, this has to stop somewhere, there are two points which have no other point on the line joining them. Incredible proof. Mar30 answered Examples of mathematical results discovered “late” Oct31 awarded Popular Question Oct12 awarded Nice Answer Sep19 answered Demystify integration of $\int \frac{1}{x} \mathrm dx$ Sep10 answered Convergeny Again - Direct Comparison Sep10 answered Blue eyes: a logic puzzle Aug30 comment What are some uses for other norms on $\mathbb{R}^n$ Ahh. Man. I meant rotation invariant. It is so because the map $(x,y)\to (x\cos(\theta)+y\sin(\theta),-x\sin(\theta)+y\cos(\theta))$ will preserve distance between any $(x_1,y_1)$, $(x_2,y_2)$, only with the $L^2$ norm. Aug30 comment Expected size of the largest cycle Well yes I was talking about random permutations - thanks! But you didn't put it as an answer... how do I add reputation to you? Will upvoting your comment do it? Aug29 comment Can a number ever *really* be irrational? The question perhaps deserves more positive attention than it is getting, because almost certainly there are no rational numbers. Or with probability $1$, a number that you pick uniformly from $[a,b]$ with $a < b$, will be an irrational number. May be that's something you realized intuitively, which is why you are asking the question. However, zero-probability events do still exist - as do rational numbers. It is strange though, to think that most numbers we deal with come from a set of zero length (or Lebesgue measure)! Aug29 answered What are some uses for other norms on $\mathbb{R}^n$ Aug29 revised How do I know if a sufficient statistic is also complete? added 87 characters in body Aug29 revised How do I know if a sufficient statistic is also complete? added 702 characters in body Aug29 answered How do I know if a sufficient statistic is also complete? Aug29 answered The integral of $\frac{\cos(x)}{x}$ from $0$ to $1$ Aug29 comment Probability and Stats Yeah - it's easy to get into and becomes very interesting. Probability theory, one of the best branches of maths! Good luck Adib.