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Let $D$ be a quaternion division algebra over a non-Archimedean local field $F$ of characteristic zero, and let $G_n=GL_n(D)$. Let $H_{1,n-1}$ denote the subgroup of $G_n$ consisting of block-diagonal matrices of the form $diag(g_1,g_2)$, where $g_1\in G_1$ and $g_2\in G_{n-1}$. In this article, we formulate a conjectu...
Haoyuan Deng · Yihong Zhou · Thomas Morstyn · Yi Wang
The increasing integration of distributed energy resources (DERs) is crucial for power system decarbonization, yet unlocking DERs' flexibility is challenged by their inherent uncertainties and modelling complexity. As traditional optimization methods struggle with such uncertainty and complexity of DERs, reinforcement...
Machine LearningFOS: Computer and information sciencesengineering and technologySystems and Control (eess.SY)
Hany Elsharawy · Chalak Najat Abdullah · Xinran Yin · Jingwen Zhou
Amyrins arе pеntacyclic tritеrpеnoids with valuablе pharmacеutical and cosmеtic applications; howеvеr, thеir low abundancе in plants and complеx еxtraction procеssеs hindеr sustainablе supply. Hеrе, Yarrowia lipolytica was еnginееrеd to еnhancе α- and β-amyrin biosynthеsis using mеtabolic and еnzymе еnginееring stratеg...
Mengmeng Liu · Chenbo Gong · Jing Zhang · Yongjun Lin · y 1 más
Intron-mediated enhancement (IME) is a potent endogenous mechanism for boosting gene expression, yet few IME elements function efficiently across distantly related plant species. Here, we characterize the first intron of the rice OsNrx3 gene (OsNrx3i1) as a candidate IME element. OsNrx3i1 significantly enhanced gene ex...
We prove the group version of the Matrix Spencer conjecture. For every finite group G, there exist signs ε ∈ { ± 1}G such that (formula presented) where ρ is the left regular representation of G and C is a universal constant. This conjecture was posed in [1], which settled it for simple groups; we establish it for all...
Matrix Spencer problemRepresentation TheoryProbability (math.PR)Group Theory (math.GR)
Psychological investigations have generated numerous insights into how two parties bargain. To build on this literature, we review recent research across multiple disciplines, focusing on aspects of negotiation that have received relatively little attention, namely individual differences, multiparty negotiations, and c...
Ai, Jiangdong · Gutin, Gregory · Liu, Xiangzhou · Yeo, Anders · y 1 más
A digraph $D$ is an oriented graph if $D$ does not have a pair of opposite arcs. The degree of a vertex $v$ of $D$ is the sum of the in-degree and out-degree of $v.$ Let $fvs(D)$ be the minimum number of vertices whose deletion from $D$ makes it acyclic. Let $D$ be a digraph with $n$ vertices and maximum degree $Δ$. We...
CombinatoricsFOS: Mathematicscomputer and information sciencesCombinatorics (math.CO)
Fanny Caloz · Chloé Roussel · Vincent Castella · Franco Taroni · y 1 más
This research is based on a case in which the complainant alleged that the defendant had removed her underwear, while the defendant claimed they had only danced together. To assist in resolving this issue, DNA was collected from the sides of the complainant's underwear and Y-chromosome STR (Y-STR) analysis performed us...
Thijs ter Rele · René van Roij · Marjolein Dijkstra
Attractive three-body interactions have been reported for like-charged colloids in low-salt suspensions, based on both finite-element Poisson-Boltzmann calculations and direct experimental measurements, and have been proposed as a mechanism to drive colloidal clustering. However, these Poisson-Boltzmann calculations ty...
We analyze the classification problem for finitely generated orderable groups from the viewpoint of descriptive set theory. We analyze the standard Borel space of finitely generated left-orderable groups, and the subspace of finitely generated bi-orderable groups using spaces of relative cones. We use this setup to sho...
LogicGroup TheoryFOS: MathematicsGroup Theory (math.GR)
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