Tootfinder

Sign-Rank of $k$-Hamming Distance is Constant
Mika G\"o\"os, Nathaniel Harms, Valentin Imbach, Dmitry Sokolov
https://arxiv.org/abs/2506.12022 ht…

Sign-Rank of $k$-Hamming Distance is Constant
We prove that the sign-rank of the $k$-Hamming Distance matrix on $n$ bits is $2^{O(k)}$, independent of the number of bits $n$. This strongly refutes the conjecture of Hatami, Hatami, Pires, Tao, and Zhao (RANDOM 2022), and Hatami, Hosseini, and Meng (STOC 2023), repeated in several other papers, that the sign-rank should depend on $n$. This conjecture would have qualitatively separated margin from sign-rank (or, equivalently, bounded-error from unbounded-error randomized communication). In fa…

On the Earth's tidal perturbations. II. LARES 2 satellite
V. G. Gurzadyan, I. Ciufolini, H. G. Khachatryan, S. Mirzoyan, A. Paolozzi
https://arxiv.org/abs/2506.10310

On the Earth's tidal perturbations. II. LARES 2 satellite
Laser-ranging satellites have proved their efficiency in high precision testing of General Relativity and constraining modified gravity theories proposed to explain the dark sector and the cosmological tensions. The LARES 2 satellite launched in 2022, is currently providing improved information regarding the frame-dragging effect predicted by General Relativity, as well as the geodesy, thus essentially complementing the data of already existing laser-ranging satellites. The proper knowledge of …

faculty_hiring_us: Faculty hiring networks in the US (2022)
Networks of faculty hiring for all PhD-granting US universities over the decade 2011–2020. Each node is a PhD-granting institution, and a directed edge (i,j) indicates that a person received their PhD from node i and was tenure-track faculty at node j during time of collection (2011-2020). This dataset is divided into separate networks for all 107 fields, as well as aggregate networks for 8 domains, and an overall network for …

Heute vor 2 Jahren: Am 14. Juni 2023 erklärte der belarussische Präsident Aleksander Lukaschenko in einem Fernsehinterview mit dem russischen Staatssender Russia-1, dass #Belarus, wie am 25.03.23 durch Putin angekündigt, #Kernwaffen von Russland erhalten habe.

This https://arxiv.org/abs/2502.10188 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Installation and performance of the 3rd Veto plane at the SND@LHC detector
During 2022/2023 the optimal inefficiency of the Veto system of the SND@LHC detector was measured to be $(7.8\pm2.8)\times10^{-8}$. To reduce this inefficiency, a third Veto plane was installed during the 2023-2024 Year End Technical Stop. In addition, the Veto system was lowered to cover the target fully, thereby increasing acceptance. This paper describes how the inefficiency of the Veto system was reduced from $7.8\times10^{-8}$ with an acceptance of about $64\%$ of the target area in 2022-2…

Bird of the Day — Wilson's Snipe, Nebraska 2022
#Birds #NaturePhotography #Nature #Wildlife