MathOverview
Reputation
5,817
67/100 score
 May 1 answered If $A$ and $B$ are arbitrary $n \times n$ matrices, prove that $(A^TB^TBA)$ is symmetric Mar 22 asked On the alternative stamentes of the famous Sperner's Lemma. Jan 27 asked Single reference to classical results in analysis. Jan 25 asked Uniform continuity with respect to parameter. Nov 2 asked Extended version of Mean-Value Theorem, lower bound result and reference request. Oct 2 answered If $X_n$ is the remaining time after $n$ until the next replacement, show that $(X_n)$ is a Markov chain and compute its transition probabilities Sep 25 asked If $X_n$ is the remaining time after $n$ until the next replacement, show that $(X_n)$ is a Markov chain and compute its transition probabilities Aug 23 answered What is the gradient of $f=\| S-ABA^T \|^2$? Aug 22 asked Sufficient condition for a infinite countable or non-countable intersection of open sets is equal to an open set. Jun 5 asked Calculating the convex conjugate of the function $f(x)=\lim_{n\to \infty}\left(-\frac{1}{n}\log \sum_{k=1}^n e^{a_k\cdot x+b_k}\right)$. Jun 5 asked Legendre–Fenchel transformation $f^{\ast}(x^\ast)=\sup_{x\in\mathbb{R}^n}\{\langle x,x^\ast\rangle -f(x)\}$ May 13 answered $d(x,y)^2 \le d(x,z)^2 - d(y,z)^2\color{}{+\varphi\big(x,y,z,d(x,y),d(y,z) \big)}?$ Apr 5 answered If $f$ is a continuous function such that $|f(x+y)-f(x)-f(y)|$ is bounded and $f(n)=o(n)$, then $f$ is bounded Apr 4 answered If $\lim_{x\to0} f(x)+g(x)$ and $\lim_{x\to0} f(x)g(x)$ exist simultaneously, are there any $f(x)$ and $g(x)$ that do not have limit Apr 2 asked Number of circuits that surround the square. Mar 18 answered When a function contains a sequence, and how to find the function's limit? Mar 12 asked Proof of Banach's homeomorphism theorem without the contraction map principle. Mar 6 asked Inverse Function Theorem. On the classical method of proof. Feb 7 answered Prove/disprove: $\forall f\ \in \mathbb N ^{\mathbb R}. \forall x\in \mathbb R. \exists y\in \mathbb R ((f(x)=f(y))\wedge (x\neq y))$ Feb 1 answered Properties of sup and lim inf.