Results 91 to 100 of about 649,170 (367)

Determinantal representations of hyperbolic plane curves: An elementary approach

, 2012
If a real symmetric matrix of linear forms is positive definite at some point, then its determinant is a hyperbolic hypersurface. In 2007, Helton and Vinnikov proved a converse in three variables, namely that every hyperbolic plane curve has a definite ...
Ball, Beauville, Cynthia Vinzant, Daniel Plaumann, Dixon, Dolgachev, Dubrovin, Fulton, Gross, Gȧrding, Helton, Hesse, Lewis, Netzer, Nuij, Plaumann, Plaumann, Renegar, Sanyal, Speyer, Vinnikov, Vinnikov, Vinnikov   +22 more
core   +1 more source

PRMT3‐Mediated H4R3me2a Promotes Primary Age‐Related Tauopathy by Driving Tau Hyperphosphorylation in Neuron

Advanced Science, EarlyView.
This study identifies PRMT3‐mediated H4R3me2a as a critical driver of tau hyperphosphorylation in primary age‐related tauopathy. Mechanistic insights reveal that the PRMT3/H4R3me2a/miR‐448 axis suppresses IGF1R expression via epigenetic regulation, further dysregulating the PI3K/AKT/GSK3β pathway.
Haotian Liu, Xinnan Liu, Fengyuan Tian, Yashuang Chen, Jingying Li, Xue Wang, Wenying Qiu, Xia Wang, Chao Ma, Wei Ge   +9 more
wiley   +1 more source

Electronic Nanomaterials for Plants: A Review on Current Advances and Future Prospects

Advanced Electronic Materials, EarlyView.
Global food security faces mounting challenges from climate change and rapid population growth. This review highlights the pivotal role of electronic nanomaterials–including metals, metal oxides, and carbon‐based structures–in enhancing plant photosynthesis, nutrient uptake, and stress resilience. Furthermore, it explores how emerging platforms such as
Ciro Allará, Giuseppe Ciccone, Manuela Ciocca, Sahira Vasquez, Pietro Ibba, Mauro Maver, Tanja Mimmo, Paolo Lugli, Luisa Petti   +8 more
wiley   +1 more source

A relational-theoretic approach to get solution of nonlinear matrix equations

Journal of Inequalities and Applications, 2022
In this study, we consider a nonlinear matrix equation of the form X = Q + ∑ i = 1 m A i ∗ G ( X ) A i $\mathcal{X}= \mathcal{Q} + \sum_{i=1}^{m} \mathcal{A}_{i}^{*} \mathcal{G} (\mathcal{X})\mathcal{A}_{i}$ , where Q $\mathcal{Q}$ is a Hermitian ...
Hemant Kumar Nashine, Reena Jain, Vahid Parvaneh   +2 more
doaj   +1 more source

Characterizing the universal rigidity of generic frameworks

, 2014
A framework is a graph and a map from its vertices to E^d (for some d). A framework is universally rigid if any framework in any dimension with the same graph and edge lengths is a Euclidean image of it. We show that a generic universally rigid framework
A Weil, AMC So, AY Alfakih, B Grünbaum, Dylan P. Thurston, E Klerk De, Edgar Asplund, F Alizadeh, G Pataki, G Pataki, GB Dantzig, J Bochnak, J Nie, JC Gower, Károly Bezdek, L Vandenberghe, MV Ramana, N Linial, O Güler, R Connelly, R Connelly, R Connelly, RT Rockefeller, S Straszewicz, Steven J. Gortler, T Jordán, ZQ Luo   +26 more
core   +1 more source

Iron Single Atom Catalysts for Electrochemical Ammonia Synthesis: Toward Carbon Free Hydrogen Storage

Advanced Energy Materials, EarlyView.
This review explores using iron‐based single‐atom catalysts for sustainable electrochemical conversion of nitrogen and nitrate to ammonia production. The synthesis, characterization, efficiency, advancements, and future directions of Fe‐based single‐atom catalysts are discussed in detail.
Radhika Nittoor‐Veedu, Xiaohui Ju, Martin Pumera   +2 more
wiley   +1 more source

The Reciprocal Pascal Matrix [PDF]

arXiv, 2014
The reciprocal Pascal matrix is the Hadamard inverse of the symmetric Pascal matrix. We show that the ordinary matrix inverse of the reciprocal Pascal matrix has integer elements. The proof uses two factorizations of the matrix of super Catalan numbers.
arxiv  

Process Resilience under Optimal Data Injection Attacks

AIChE Journal, EarlyView.
Abstract In this article, we study the resilience of process systems in an information‐theoretic framework, from the perspective of an attacker capable of optimally constructing data injection attacks. The attack aims to distract the stationary distributions of process variables and stay stealthy, simultaneously.
Xiuzhen Ye, Wentao Tang
wiley   +1 more source

Reduction of multipartite qubit density matrixes to bipartite qubit density matrixes and criteria of partial separability of multipartite qubit density matrixes [PDF]

arXiv, 2004
The partial separability of multipartite qubit density matrixes is strictly defined. We give a reduction way from N-partite qubit density matrixes to bipartite qubit density matrixes, and prove a necessary condition that a N-partite qubit density matrix to be partially separable is its reduced density matrix to satisfy PPT condition.
arxiv  

Robust Reinforcement Learning Control Framework for a Quadrotor Unmanned Aerial Vehicle Using Critic Neural Network

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
Quadrotor unmanned aerial vehicle control is critical to maintain flight safety and efficiency, especially when facing external disturbances and model uncertainties. This article presents a robust reinforcement learning control scheme to deal with these challenges.
Yu Cai, Yefeng Yang, Tao Huang, Boyang Li   +3 more
wiley   +1 more source