Tootfinder

Construction of a new (3 1)-dimensional KdV equation and its closed-form solutions with solitary wave behaviour and conserved vectors
Nardjess Benoudina, Chaudry Massood Khalique, Ji Lin
https://arxiv.org/abs/2404.17156

Construction of a new (3 + 1)-dimensional KdV equation and its closed-form solutions with solitary wave behaviour and conserved vectors
This paper discusses the construction of a new $(3+1)$-dimensional Korteweg-de Vries (KdV) equation. By employing the KdV's recursion operator, we extract two equations, and with elemental computation steps, the obtained result is $ 3u_{xyt}+3u_{xzt}-(u_{t}-6uu_{x}+u_{xxx})_{yz}-2\left(u_{x}\partial_{x}^{-1}u_{y}\right)_{xz}-2\left(u_{x}\partial_{x}^{-1}u_{z}\right)_{xy}=0 $. We then transform the new equation to a simpler one to avoid the appearance of the integral in the equation. Thereafter,…

Constructions of $t$-designs from weighing matrices and walk-regular graphs
Gary Greaves, Sho Suda
https://arxiv.org/abs/2402.17528 https://

Constructions of $t$-designs from weighing matrices and walk-regular graphs
We provide a method to construct $t$-designs from weighing matrices and walk-regular graphs. One instance of our method can produce a $3$-design from any (symmetric or skew-symmetric) conference matrix, thereby providing a partial answer to a question of Gunderson and Semeraro JCTB 2017. We explore variations of our method on some matrices that satisfy certain combinatorial restrictions. In particular, we show that there exist various infinite families of partially balanced incomplete blo…

This https://arxiv.org/abs/2206.12631 has been replaced.
link: https://scholar.google.com/scholar?q=a

Type systems and maximal subgroups of Thompson's group $V$
We introduce the concept of a type system~$\Part$, that is, a partition on the set of finite words over the alphabet~$\{0,1\}$ compatible with the partial action of Thompson's group~$V$, and associate a subgroup~$\Stab{V}{\Part}$ of~$V$. We classify the finite simple type systems and show that the stabilizers of various simple type systems, including all finite simple type systems, are maximal subgroups of~$V$. We also find an uncountable family of pairwise non-isomorphic maximal subgroups of~$…

Mean values of multiplicative functions and applications to residue-class distribution
Paul Pollack, Akash Singha Roy
https://arxiv.org/abs/2402.16266 http…

Mean values of multiplicative functions and applications to residue-class distribution
We provide a uniform bound on the partial sums of multiplicative functions under very general hypotheses. As an application, we give a nearly optimal estimate for the count of $n \le x$ for which the Alladi-Erdős function $A(n) = \sum_{p^k \parallel n} k p$ takes values in a given residue class modulo $q$, where $q$ varies uniformly up to a fixed power of $\log x$. We establish a similar result for the equidistribution of the Euler totient function $ϕ(n)$ among the coprime residues to the "co…

Verco: Learning Coordinated Verbal Communication for Multi-agent Reinforcement Learning
Dapeng Li, Hang Dong, Lu Wang, Bo Qiao, Si Qin, Qingwei Lin, Dongmei Zhang, Qi Zhang, Zhiwei Xu, Bin Zhang, Guoliang Fan
https://arxiv.org/abs/2404.17780

Verco: Learning Coordinated Verbal Communication for Multi-agent Reinforcement Learning
In recent years, multi-agent reinforcement learning algorithms have made significant advancements in diverse gaming environments, leading to increased interest in the broader application of such techniques. To address the prevalent challenge of partial observability, communication-based algorithms have improved cooperative performance through the sharing of numerical embedding between agents. However, the understanding of the formation of collaborative mechanisms is still very limited, making d…

Constructions of $t$-designs from weighing matrices and walk-regular graphs
Gary Greaves, Sho Suda
https://arxiv.org/abs/2402.17528 https://

Constructions of $t$-designs from weighing matrices and walk-regular graphs
We provide a method to construct $t$-designs from weighing matrices and walk-regular graphs. One instance of our method can produce a $3$-design from any (symmetric or skew-symmetric) conference matrix, thereby providing a partial answer to a question of Gunderson and Semeraro JCTB 2017. We explore variations of our method on some matrices that satisfy certain combinatorial restrictions. In particular, we show that there exist various infinite families of partially balanced incomplete blo…

Nature-Guided Cognitive Evolution for Predicting Dissolved Oxygen Concentrations in North Temperate Lakes
Runlong Yu, Robert Ladwig, Xiang Xu, Peijun Zhu, Paul C. Hanson, Yiqun Xie, Xiaowei Jia
https://arxiv.org/abs/2403.18923

Nature-Guided Cognitive Evolution for Predicting Dissolved Oxygen Concentrations in North Temperate Lakes
Predicting dissolved oxygen (DO) concentrations in north temperate lakes requires a comprehensive study of phenological patterns across various ecosystems, which highlights the significance of selecting phenological features and feature interactions. Process-based models are limited by partial process knowledge or oversimplified feature representations, while machine learning models face challenges in efficiently selecting relevant feature interactions for different lake types and tasks, especi…

Mean values of multiplicative functions and applications to residue-class distribution
Paul Pollack, Akash Singha Roy
https://arxiv.org/abs/2402.16266 http…

Mean values of multiplicative functions and applications to residue-class distribution
We provide a uniform bound on the partial sums of multiplicative functions under very general hypotheses. As an application, we give a nearly optimal estimate for the count of $n \le x$ for which the Alladi-Erdős function $A(n) = \sum_{p^k \parallel n} k p$ takes values in a given residue class modulo $q$, where $q$ varies uniformly up to a fixed power of $\log x$. We establish a similar result for the equidistribution of the Euler totient function $ϕ(n)$ among the coprime residues to the "co…

Google engineers hacked a Sony PlayStation Portal to run games locally via a PPSSPP emulator in a "software based" exploit; the Portal can only stream PS5 games (Tom Warren/The Verge)
https://www.theverge.com/2024/2/20/24078024/s…

Sony’s PlayStation Portal hacked to run emulated PSP games
The PlayStation Portal has been hacked to run emulator software, just months after its release. Two Google engineers have discovered an exploit.

This https://arxiv.org/abs/2401.01412 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDC_…

P-TimeSync: A Precise Time Synchronization Simulation with Network Propagation Delays
Time serves as the foundation of modern society and will continue to grow in value in the future world. Unlike previous research papers, authors delve into various time sources, ranging from atomic time and GPS time to quartz time. Specifically, we explore the time uncertainty associated with the four major Global Navigation Satellite Systems. In existing time synchronization simulations provide partial usages. However, our research introduces a comprehensive and precise time synchronization si…