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Projective synchronization control and simulation of drive system and response network: 《兰州大学学报(自然科学版)》2025年第2期208-214,共7页LI De-kui; Supported by the National Natural Science Foundation of China (11161027)。; Projective synchronization problems of a drive system and a particular response network were investigated,where the drive system is an arbitrary system with n+1 dimensions;it may be a linear or nonlinear system,and ev...; 关键词：pinning control projective synchronization drive system response network

Projective Hilbert modules and sequential approximations: 《Science China Mathematics》2025年第1期137-168,共32页Lawrence G.Brown Huaxin Lin; supported by the National Science Foundation of the US(Grant No.DMS-1954600);partially funded by the Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice,Science and Technology Commission of Shanghai Municipality(Grant Nos.13dz2260400 and 22DZ2229014)。; We show that when A is a separable C^(*)-algebra,every countably generated Hilbert A-module is projective(with bounded module maps as morphisms).We also study the approximate extensions of bounded module maps.In the c...; 关键词：projective Hilbert modules simple C^(*)-algebras sequential approximations

Observation of acoustic hybrid topological phases induced by the p-d orbital interactions: 《Science China(Physics,Mechanics & Astronomy)》2025年第1期128-135,共8页Xiao Xiang Feng Gao Yu-Gui Peng Peng Wu Zong-Lin Li Xue-Feng Zhu; supported by the National Key Research and Development Program of China(Grant No.2023YFB4604800)。; In spinless systems,growing attention has recently been attracted to synthetic gauge fields,which redefine the fundamental crystal symmetries by utilizing the projective algebraic relation.Hitherto,synthetic gauge fie...; 关键词：topological insulator synthetic gauge field projective symmetry corner states

本刊英文版2025年68卷第1期(1–252)摘要: 《中国科学:数学》2025年第1期I0003-I0005,共3页; Miyaoka-type inequalities for terminal threefolds with nef anti-canonical divisors Masataka Iwai, Chen Jiang&Haidong Liu Abstract In this paper, we study Miyaoka-type inequalities on Chern classes of terminal projecti...; 关键词：PROJECTIVE CANONICAL INEQUALITIES

Extended-depth of field random illumination microscopy,EDF-RIM,provides super-resolved projective imaging: 《Light(Science & Applications)》2024年第12期3052-3063,共12页Lorry Mazzella Thomas Mangeat Guillaume Giroussens Benoit Rogez Hao Li Justine Creff Mehdi Saadaoui Carla Martins Ronan Bouzignac Simon Labouesse Jérome Idier Frédéric Galland Marc Allain Anne Sentenac Loïc LeGoff; support and fruitful discussions on the project.Figure S3A was created with BioRender.com;funded by the following agencies:Agence Nationale de la Recherche(ANR-18-CE13-028,ANR-20-CE45-0024,ANR-22-CE13-0039,ANR-22-CE42-0010,ANR-22-CE42-0026);Institut Carnot star(3D-RIM);funded by the《France 2030》investment plan managed by the French National Research Agency(ANR-16-CONV-0001,ANR-21-ESRE-0002);from Excellence Initiative of Aix-Marseille University-A*MIDEX.; The ultimate aim of fluorescence microscopy is to achieve high-resolution imaging of increasingly larger biological samples.Extended depth of field presents a potential solution to accelerate imaging of large samples ...; 关键词：ILLUMINATION PROJECTIVE RESOLVED

Verdier quotients of homotopy categories of rings and Gorenstein-projective precovers: 《Science China Mathematics》2024年第12期2701-2712,共12页Manuel Cortes-Izurdiaga; supported by the Spanish Government (Grant No. PID2020-113206GBI00, funded by MCIN/AEI/10.13039/501100011033);Junta de Andalucia (Grant No. P20-00770)。; Let R be a ring, Proj be the class of all the projective right R-modules, K be the full subcategory of the homotopy category K(Proj) whose class of objects consists of all the totally acyclic complexes, and MorK be th...; 关键词：homotopy category Gorenstein-projective precover Verdier quotient small Hom-sets totally acyclic complex

The Report of Homological Algebra: 《Open Journal of Applied Sciences》2024年第9期2749-2767,共19页Junhui Zhang; The current article intends to introduce the reader to the concept of injective and projective modules and to describe the CFT. We present a clear view to show the homological algebra and injective and projective modu...; 关键词：Homological Algebra CATEGORY Projective and Injective Module

本刊英文版2024年67卷第8期(1719-1956)摘要: 《中国科学：数学》2024年第8期I0001-I0004,共4页; Eventually homological isomorphisms and Gorenstein projective modules Yongyun Qin&Dawei Shen Abstract We prove that a certain eventually homological isomorphism between module categories induces triangle equivalences ...; 关键词：CONJECTURE PROJECTIVE eventually

Projectively Ricci-flat General(α,β)-metrics: 《Acta Mathematica Sinica,English Series》2024年第6期1409-1419,共11页Esra Sengelen SEVIM; In this paper,we study the projectively Ricci-flat general(α,β)-metrics within to a spray framework and also bring out the rich variety of behaviour displayed by an important projective invariant.Projective Ricci cu...; 关键词：Finsler metrics general(α β)-metrics projective Ricci curvature

Momentum as Translations at Conformal Infinity: 《Journal of Applied Mathematics and Physics》2024年第4期1522-1540,共19页Richard James Petti Jacob Luke Graham; Although General Relativity is the classic example of a physical theory based on differential geometry, the momentum tensor is the only part of the field equation that is not derived from or interpreted with different...; 关键词：Projective Symmetry Conformal Symmetry MOMENTUM General Relativity Einstein-Cartan Mach’s Principle

PROJECTIVE