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Let $X$ be a non-singular complex variety with a big line and base point free bundle $M$ on it. My question is can we say that for any locally free...
Asked on 10/07/2020 by User3568
3 answerI would like to solve the following integral $$int_0^infty e^{-a k^2} J_{3/2}(b k) J_{3/2}(c k) J_{3/2}(f k) J_{1/2}(r k) k^{-3} dk,$$ where $a,b,c,f,r > 0$, and...
Asked on 10/06/2020 by saxen
1 answerI am trying to understand about Lie groupoids but not able to get feeling for what it actually is. So, question here is, What are Lie groupoids? How similar are...
Asked on 09/30/2020 by Praphulla Koushik
5 answerIn contrast to "classical" homotopy theory, in the motivic homotopy theory, we don't have homotopy group but rather homotopy sheaves in the Nisnevich topology, which is associated to the presheaf...
Asked on 09/29/2020 by curious math guy
0 answerThe standard statement of the Stone-Weierstrass theorem is:Let $X$ be compact Hausdorff topological space, and $mathcal{A}$ a subalgebra of the continuous functions from $X$ to $mathbb{R}$...
Asked on 09/26/2020 by mw19930312
2 answerLet $G(n)=(n-2)!(n-3)!cdots 1!$ denote the Barnes G-function.I am pretty sure that$$sum_{m=0}^{k^2-1}(-1)^mbinom{k^2-1}mfrac{G(k+n-m+1)}{G(n-m+1)G(k+1)(k^2)!}= n-2k^2-2k$$ when ...
Asked on 09/21/2020 by JM Landsberg
0 answerLet $L/mathbb{Q}$ be a finite extension and let $V$ be a one-dimensional $L$-linear representation of $G_{mathbb{Q}}$ which is given by $chirho^*kappa^n_{text{cyc}}:G_{mathbb{Q}}rightarrow L^times$, where $rho$...
Asked on 09/15/2020 by S.D.
0 answerIn the interior-point method the log barrier, i.e $-mu log(f_i(x)$ where $f_i(x)$ is one of the inequality constraints of a problem, is commonly used to...
Asked on 09/10/2020 by fusiled
0 answerConsider these two axioms:Every partial order extends to a linear order.Every partial preorder (reflexive and transitive relation) extends to a linear preorder while preserving strict orderings: i.e., whenever $x<y$...
Asked on 09/06/2020 by Alexander Pruss
0 answerI use the notation of this question. A non-decreasing continuous bijection from $[0,a]$ to $[0,b]$ where $a,bgeq 0$ are two real numbers is denoted by $[0,a] cong^+ [0,b]$. If...
Asked on 08/26/2020 by Philippe Gaucher
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