Results 61 to 70 of about 4,792,820 (293)

Coherent Frames [PDF]

Sahand Communications in Mathematical Analysis, 2018
Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames.
Ataollah Askari Hemmat, Ahmad Safapour, Zohreh Yazdani Fard   +2 more
doaj   +1 more source

A Virtual Clinical Trial of Psychedelics to Treat Patients With Disorders of Consciousness

Advanced Science, EarlyView.
Disorders of consciousness after severe brain injury are marked by reduced complexity of brain activity and limited treatment options. Using personalized whole‐brain models, this study shows that simulated lysergic acid diethylamide (LSD) and psilocybin shift patient brain dynamics closer to criticality.
Naji L.N. Alnagger, Paolo Cardone, Charlotte Martial, Yonatan Sanz Perl, Iván Mindlin, Jacobo D Sitt, Leor Roseman, Robin Carhart‐Harris, David Nutt, Pablo Mallaroni, Natasha Mason, Johannes G Ramaekers, Vincent Bonhomme, Steven Laureys, Gustavo Deco, Olivia Gosseries, Pablo Núñez, Jitka Annen   +17 more
wiley   +1 more source

Olfactory‐to‐Entorhinal Network Dysrhythmias Drive Parkinson's Cognitive Impairment Through Frequency‐Specific Oscillatory Decoupling

Advanced Science, EarlyView.
Wang et al reveal that in the olfactory system, the selective impairment of gamma‐driven Barcode features underlying early olfactory deficits, while the selective impairment of theta‐driven Barcode features underlying later cognitive deficits, further establishing cross‐network gamma oscillations in the early stage as a biomarker of later cognitive ...
Shuaishuai Wang, Zhishen Cai, Xingfeng Mao, Yixuan Zhang, Yunlong Pan, Jiawen Cheng, Xuechun Wang, Hengyi Song, Sasaki Takuya, Ming Lu, Gang Hu, Xiuxiu Liu, Yingmei Lu, Feng Han   +13 more
wiley   +1 more source

Frames in super Hilbert modules [PDF]

Sahand Communications in Mathematical Analysis, 2018
In this paper, we define super Hilbert module and investigate frames in this space. Super Hilbert modules are  generalization of super Hilbert spaces in Hilbert C*-module setting.
Mehdi Rashidi-Kouchi
doaj  

A Quantum Framework for Protein Binding‐Site Structure Prediction on Utility‐Level Quantum Processors

Advanced Science, EarlyView.
This study presents a hybrid quantum‐classical framework for accurate prediction of protein structures on utility‐level quantum processors. We evaluate the practical application of the Variational Quantum Eigen‐solver (VQE) in protein structure prediction and demonstrate its superiority over state‐of‐the‐art deep learning methods in molecular docking ...
Yuqi Zhang, Yuxin Yang, William Martin, Kingsten Lin, Zixu Wang, Cheng‐Chang Lu, Weiwen Jiang, Ruth Nussinov, Joseph Loscalzo, Qiang Guan, Feixiong Cheng   +10 more
wiley   +1 more source

Frames of subspaces in Hilbert spaces with W-metrics

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper we start considering a sesquilinear form 〈W·,·〉 defined over a Hilbert space (ℌ,〈·,·〉) where W is bounded (W* = W ∈ Ɓ(ℌ)) and ker W = {0}. We study the dynamic of frame of subspaces over the completion of (ℌ, 〈W·,·〉) which is denoted by ℌW ...
Acosta-Humánez Primitivo, Esmeral Kevin, Ferrer Osmin   +2 more
doaj   +1 more source

Multi‐Soliton Microcombs Enable Ultrafast Nanometric‐Precision Ranging and Photon‐Level Detection

Advanced Science, EarlyView.
Our work first demonstrates dual‐multi‐soliton ranging and confirms its multifunctional capability. The method achieves ultrafast and nanometric‐precision measurement. For practical applications, we further extend the multi‐soliton states to photon‐level ranging.
Jiawen Zhi, Xiaoyang Guo, Xusheng Yang, Brent E. Little, Sai T. Chu, Chenggang Shao, Mengyu Wang, Yan Liang, Peng Xie, Weiqiang Wang, Hanzhong Wu   +10 more
wiley   +1 more source

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space

Abstract and Applied Analysis, 2012
We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α-inverse strongly monotone mapping in a Hilbert space. Manaka
Hongjie Liu, Junqing Wang, Qiansheng Feng   +2 more
doaj   +1 more source

Experimental Joint Estimation of Phase and Phase Diffusion Via Deterministic Bell Measurements

Advanced Science, EarlyView.
This work employs Bell measurement, a form of entangling measurement, to estimate both the phase and its fluctuations in an optical interferometer. By incorporating a novel quantum effect at the measurement stage, the proposed method achieves the ultimate precision limit and demonstrates the significant potential of entangling measurements in multi ...
Ben Wang, Minghao Mi, Huangqiuchen Wang, Qian Xie, Lijian Zhang   +4 more
wiley   +1 more source