21h
answered $(x+2)\cos\frac1{x+2} - x\cos\frac1x > 2$ for $x\in[1,\infty)$
2d
answered What is my operator norm (cannot get good enough bounds).
May
19
answered If $f(x)\to 0$ as $x\to\infty$ and $f''$ is bounded, show that $f'(x)\to0$ as $x\to\infty$
May
19
answered Comparing the value of $\int _0 ^{\frac{\pi}{2}} x^n \sin^nx\,dx$ for different $n$
May
18
answered Harmonic Function bounded by a linear function
May
16
answered Application of Open Mapping Theorem
May
16
answered Zeros of a cubic polynomial with rational coefficients
May
16
answered $P(|X|\ge\lambda a)\ge (1-\lambda)^2a^2$ for $0\le \lambda \le 1$
May
16
answered Error bounds for $e$
May
14
answered singularity of analytic continuation of $f(z) = \sum_{n=1}^\infty \frac{z^n}{n^2}$
May
13
answered Prove that $c^3f(c)+c f(c)\ge1$
May
13
answered Property of partial traces
May
12
answered How to prove that there exists a $z_0 \in U_{1} [0]$ such $ \prod_{k=1}^{n} |z_0 - a_k | \geq 1 $ for $a_1, \dots , a_n \in U_{1} [0] $?
May
12
answered slowness of growth of polynomials
May
11
answered Does there exist a matrix $\mathbf{A}\in\mathbb{R}^{3\times3}$ such that $\mathbf{A}^{2}=-\mathbf{I}$?
May
11
answered Riemann surface arising as a quotient of the upper half-plane.
May
10
answered proof using pigeonhole principle
May
10
answered Choosing a linear map $(\mathbb{Z}/2\mathbb{Z})^n \rightarrow \mathbb{Z}/2\mathbb{Z}$ which is nonzero on half of a sequence of vectors
May
9
answered Sum of eigenvalues and singular values
May
9
answered The sum of the series $\sum_{n=0}^{\infty}\frac{\epsilon_n}{n!}$ is an irrational number