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Fix $m,n in mathbb{N}$ with $m ge n+1$. Take $m$ points in general position in $mathbb{R}^n$ and let $P$ be their convex hull. What is...
Asked on 12/01/2021 by zjs
1 answerIntuitionistic and classical propositional logic, and even classical first-order logic with identity, have algebraic counterparts. Algebraizable logics, 1989, by Willem J. Blok and Don Pigozzi, is a classical reference. Is...
Asked on 12/01/2021 by Frode Alfson Bjørdal
0 answerLet $(M,g)$ be a Riemannnian manifold and let $f:Sigmato M$ be a smooth immersion. Then the vector bundle $f^ast TMtoSigma$ has a natural bundle metric and metric-compatible...
Asked on 12/01/2021 by Quarto Bendir
1 answerI have a $2n times 2n$ block symmetric matrix that in the simplest case ($n=2$) looks like: $$M_2 = begin{bmatrix}a_1 & 0 & b_{1,2} &...
Asked on 11/29/2021
1 answerSuppose we are given a block $2times 2$ matrix that is positive-definite, and let's suppose for simplicity that the blocks along the main diagonal are the identity. So...
Asked on 11/29/2021 by Laurent Lessard
0 answerIf I take a diagonalizable block upper triangular matrix whose diagonal blocks are of finite order, is it true that away from the leading block diagonal, the matrix is zero?...
Asked on 11/29/2021 by user44128
1 answerIs there a formula to compute the determinant of block tridiagonal matrices when the determinants of the involved matrices are known? In particular, I am interested in the case ...
Asked on 11/29/2021
2 answerLet $F$ be a $p$-adic field and let $X$ be a smooth integral variety over $F$ (I am chiefly interested in the case when $X$...
Asked on 11/29/2021 by Alex Youcis
0 answerI would like to prove that $$int_{0}^{infty} cos(omega x) exp(-x^{alpha}) , {rm d} x ge{alpha^2 sqrt{pi} over 8} exp left( -frac{omega^2}{4} right)$$ for any $omega >...
Asked on 11/29/2021
0 answerI've started reading about shape optimization. Most of the concepts I've encountered so far (such as the shape derivatives of domain and boundary integrals and the corresponding) seem to be...
Asked on 11/29/2021
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