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Define the metric $d(f,g)triangleq sup_{x in [0,1]} |f(x)-g(x)|$ on the set $operatorname{B}$ of uniformly bounded functions from the interval $[0,1]$ to $mathbb{R}$, fix $g in...
Asked on 11/22/2021 by Zorn's Llama
1 answerEdit (2020-07-15): Since the discussion below is perhaps a bit long, let me condense my question to the following Short form of the question: Let $G$ be a finite...
Asked on 11/20/2021 by Gro-Tsen
1 answerLet $a^{ij}, b_{i}, c$ and $f>0$ are smooth function. Suppose $Lambda Igeq (a^{ij})geq lambda I$, where $I$ is identity matrix, $lambda, Lambda$ is positive constant....
Asked on 11/20/2021 by liding
0 answerLet $a_0,cdots,a_n$ be algebraic integers. Is $h(a_0,cdots,a_n)lemax_{0le ile n}log(max(1,|a_i|))$ where $h(a_0,cdots,a_n)$ denotes the logarithmic Weil height? Thanks in advance....
Asked on 11/20/2021
1 answerI am looking for $delta>0$, such that $$delta int_{-infty}^{infty} exp(its){ Gamma{2(it+1)/3}over Gamma{(it+1)/2} }dt le \int_{-infty}^{infty} exp(its){ Gamma (it+1)over Gamma{(it+1)/2} }dt$$for any ...
Asked on 11/18/2021
0 answerI am interested in problems of the form $$min_{x in C} sum_{i=1}^nsum_{j=1}^n f(x_i,x_j)$$ where $C$ is a convex subset of $mathbb{R}^{n}$, and $f colon mathbb{R}^{2} to...
Asked on 11/18/2021 by nutty_wolf
1 answerLet $mathfrak{g}$ be a complex semisimple Lie algebra. Is it true that for any $Xinmathfrak{g}$, there exists an $mathfrak{sl}_2$-triple $(e,h,f)$ in $mathfrak{g}$ such thatWe...
Asked on 11/18/2021 by Cheng-Chiang Tsai
0 answerGoing over degrees of freedom, it appears that the following construction works, but I have no idea how to calculate exact positions of the vertices, or even a practical approach...
Asked on 11/16/2021
1 answerI am trying to find a combinatorial approach to solve the following optimization problem. begin{align}&max_{x_{ij}} C_{ij} x_{ij}, \&text{such that},\&sum_{j} x_{ij} leq r_i~forall i in [N],\...
Asked on 11/16/2021 by Soumya Basu
1 answerI was asking if it is possible to extend the definition of topological Friedland entropy for $mathbb{Z}^d$ continuos actions to measure preserving actions. The topologica Friedland entropy is constructed...
Asked on 11/16/2021 by user502940
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