Arin Chaudhuri

 21 Calculating $\lim_{n\to\infty}\sqrt{n}\sin(\sin…(\sin(x)..)$ 14 How to prove that the rank of a matrix is a lower semi-continuous function? 13 Can a symmetric matrix always be represented as the sum of a positive-definite and negative-definite matrix? 11 Measurable function remaining constant 9 limit of the sum $\frac{1}{n+1}+\frac{1}{n+2}+\cdots+\frac{1}{2n}$

### Reputation (5,582)

 +20 well separated points on sphere +10 Defining an Antiderivative for Monotone Functions +10 Interpolation using homeomorphism +10 sequence of monotone functions on a compact interval converges uniformly to a *monotone* function?

### Questions (45)

 13 well separated points on sphere 12 Bell numbers and moments of the Poisson distribution 11 sign reversing involution proof of a combinatorial identity 9 Can this sum be simplified: $\sum_{k=0}^{n-1} { n -1 \choose k } (-2)^{k} (2n - k)!$? 8 Alternative to Ziegler's “Lectures on Polytopes”

### Tags (113)

 126 linear-algebra × 90 37 sequences-and-series × 14 90 real-analysis × 39 24 measure-theory × 7 88 matrices × 48 24 numerical-methods × 3 45 analysis × 9 19 calculus × 14 42 limits × 12 17 summation × 4

### Bookmarks (343)

 265 How does one prove the determinant inequality $\det\left(6(A^3+B^3+C^3)+I_{n}\right)\ge 5^n\det(A^2+B^2+C^2)$? 248 How discontinuous can a derivative be? 170 A math contest problem $\int_0^1\ln\left(1+\frac{\ln^2x}{4\,\pi^2}\right)\frac{\ln(1-x)}x \ \mathrm dx$ 104 Is $[0,1]$ a countable disjoint union of closed sets? 93 How prove this nice limit $\lim\limits_{n\to\infty}\frac{a_{n}}{n}=\frac{12}{\log{432}}$