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44/20 answers
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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.