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Q&A for professional mathematicians
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Hottest Questions Today - MathOverflow
Skip to main content Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, ...
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I hope everyone is doing well. Let $K \subset \mathbb{R}^n$ be a centrally symmetric convex body $(K = -K)$. Denote by $K \mid H$ the orthogonal projection of $K$ onto $H$, where $H$ is an $n - 1$
Mathoverflow.net news digest
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0 days
When can a sentence be represented as an obstruction to descent through an invol...
I am trying to understand whether the following construction belongs to a standard model-theoretic or categorical framework. I posted a similar question on MathStackExchange.https://math.stackexchange.com/questions/5144148/how-should-this-descent-construction...
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12 years
Continuity of minimizers to distance function from point to convex set
Suppose I am minimizing the Euclidean distance in $\mathbb{R}^{n}$ between a point $y$ and compact convex set $U$ (where $y\notin U$):
$\min_{x\in U}\|x-y\|$.
I believe the minimizer $x_{U}^{*}$ is unique and my question is about the continuity properties of the argmin mapping with respect to the choice of set $U$. That is, if I have two minimization problems, one with minimizing over set $U$ and one with... -
0 days
Is it a subgroup of $GL(n,F)$? What is called this (possible) group?
For every $n\in \mathbb{N}$ Dente by $GDS(n)$ the space of all invertible $n\times n$ matrices which are double stochastic matrix. Is it really a Lie subgroup of $Gl(n,\mathbb{R})$ which is introduced in classic text books as a classical example of Lie...
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0 days
Phase alignment of sum exp(-i*log(p)*gamma_n) at prime frequencies -- known phen...
For the first $N$ non-trivial zeros of $\zeta(s)$, consider
$$A(\tau; N) = \sum_{n=1}^{N} \exp(-i \tau \gamma_n)$$
where $\gamma_n$ is the imaginary part of the $n$-th zero. At frequencies$\tau = \log p$ for primes $p$, I observe that $\arg(A(\log p; N))$concentrates near $\pi$ (i.e. $A$ aligns with the negative real axis),already for $N$ as small as a few hundred...
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