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 Aug 21 answered What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) Jul 2 awarded Curious Jun 24 revised Cauchy-Schwarz type formula for positive integral operator edited title Jun 24 revised Correlation coefficient calculation deleted 1 character in body Jun 24 revised Proof of the Bergström inequality using Cauchy deleted 1 character in body Jun 24 revised $|f(x)|\leq \sqrt{\frac{\pi}{3}\int_0^\pi f'^2}$ deleted 1 character in body Jun 20 asked Existence of sets with four common elements among 16000 sets. May 30 comment Finding an expression to represent this pattern You really need to tell us more about the source of these numbers. In particular, are the decimal numbers rounded or exact? May 30 revised Old Qualifying Exam Problem topology added 1 character in body May 30 revised Why does there exist a lift from $RP(2)$ to $S^2$? added 1 character in body May 30 revised $\dim$ $C(X,\mathbb{R})<\infty$ we need to show $|X|<\infty$, added 1 character in body May 30 revised Can we prove that a statement cannot be proved? added 1 character in body May 30 revised Riemann integrable and continuous almost everywhere. edited title May 30 revised Riemann sum definition of Riemann integrability edited title May 30 revised How to show $n\sum_{i=1}^n {x_i^2} \ge (\sum_{i=1}^n{x_i})^2$ deleted 1 character in body May 30 comment For all integrable $f:[-1,1]\mapsto \mathbb{R}$ prove that $\int_{-1}^1f^2(x)\ge\frac12(\int_{-1}^1f(x))^2+\frac32(\int_{-1}^1xf(x))^2$ Please spell Cauchy-Schwarz correctly. May 30 revised For all integrable $f:[-1,1]\mapsto \mathbb{R}$ prove that $\int_{-1}^1f^2(x)\ge\frac12(\int_{-1}^1f(x))^2+\frac32(\int_{-1}^1xf(x))^2$ deleted 1 character in body May 30 comment little inequality conjecture Please spell Cauchy-Schwarz correctly. May 30 revised little inequality conjecture deleted 1 character in body May 29 revised showing $\inf \sigma (T) \leq \mu \leq \sup \sigma (T)$, where $\mu \in V(T)$ deleted 1 character in body