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Projective Hilbert modules and sequential approximations

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Science China Mathematics 2025年第1期68卷 137-168页

作者： Lawrence g.Brown Huaxin Lin Department of Mathematics Purdue UniversityWest LafayetteIN 47907-2067USA Department of Mathematics East China Normal UniversityShanghai 200062China Department of Mathematics University of OregonEugeneOR 97405USA

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 *** the case where A is aσ-unital simple C^(*)-algebra with strict comparison,and every strictly positive lower semicontinuous affine function on quasitraces can be realized as the rank of an element in the Cuntz semigroup,we show that the Cuntz semigroup is equivalent to unitarily equivalent classes of countably generated Hilbert A-modules if and only if A has stable rank one.

关键词： projective Hilbert modules simple C^(*)-algebras sequential approximations

Research and development of the back-end electronics for the two-dimensional improved resistive plate chambers in CMS upgrade

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Radiation Detection Technology and Methods 2021年第2期5卷 181-191页

作者： P.Cao Z-A.Liu J.Zhao H.Kou J.Tao J.Song W.gong N.Wang A.Samalan M.Tytgat N.Zaganidis g.A.Alves F.Marujo F.Torres.Da.S.ilva.De.Araujo E.M.Da Costa D.De Jesus Damiao H.Nogima A.Santoro S.Fonseca De Souza A.Aleksandrov R.Hadjiiska P.Iaydjiev M.Rodozov M.Shopova g.Sultanov M.Bonchev A.Dimitrov L.Litov B.Pavlov P.Petkov A.Petrov S.J.Qian C.Bernal A.Cabrera J.Fraga A.Sarkar S.Elsayed Y.Assran M.El Sawy M.A.Mahmoud Y.Mohammed X.Chen C.Combaret M.gouzevitch g.grenier I.Laktineh L.Mirabito K.Shchablo I.Bagaturia D.Lomidze I.Lomidze V.Bhatnagar R.gupta P.Kumari J.Singh V.Amoozegar B.Boghrati M.Ebraimi R.ghasemi M.Mohammadi Najafabadi E.Zareian M.Abbrescia R.Aly W.Elmetenawee N.De Filippis A.gelmi g.iaselli S.Leszki F.Loddo I.Margjeka g.Pugliese D.Ramos L.Benussi S.Bianco D.Piccolo S.Buontempo A.Di Crescenzo F.Fienga g.De Lellis L.Lista S.Meola P.Paolucci A.Braghieri P.Salvini P.Montagna C.Riccardi P.Vitulo B.Francois T.J.Kim J.Park S.Y.Choi B.Hong K.S.Lee J.goh H.Lee J.Eysermans C.Uribe Estrada I.Pedraza H.Castilla-Valdez A.Sanchez-Hernandez C.A.Mondragon Herrera D.A.Perez Navarro g.A.Ayala Sanchez S.Carrillo E.Vazquez A.Radi A.Ahmad I.Asghar H.Hoorani S.Muhammad M.A.Shah I.Crotty Department of Physics and Astronomy Ghent UniversityProeftuinstraat 869000 GhentBelgium Centro Brasileiro Pesquisas Fisicas R.Dr.Xavier Sigaud150-UrcaRio de JaneiroRJ 22290-180Brazil Dep.de Fisica Nuclear e Altas Energias Instituto de FisicaUniversidade do Estado do Rio de JaneiroRua Sao Francisco Xavier524BR-Rio de Janeiro 20559-900RJBrazil Bulgarian Academy of Sciences Inst.for Nucl.Res.and Nucl.EnergyTzarigradsko shaussee Boulevard 721784 SofiaBulgaria Faculty of Physics University of Sofia5 James Bourchier Boulevard1164 SofiaBulgaria School of Physics Peking UniversityBeijing 100871China Institute of High Energy Physics UCAS/CAS19(B)Yuquan RoadShijingshan DistrictBeijing 100049China Universidad de Los Andes Apartado Aereo 4976Carrera 1Eno.18A 10BogotaCOColombia Egyptian Network for High Energy Physics Academy of Scientific Research and Technology101 Kasr El-Einy St.CairoEgypt The British University in Egypt(BUE) P.O.Box 43Elsherouk CitySuez Desert RoadCairo 11837Egypt Suez University Elsalam CitySuez-Cairo RoadSuez 43522Egypt Department of Physics Faculty of ScienceBeni-Suef UniversityBeni-SuefEgypt Center for High Energy Physics Faculty of ScienceFayoum UniversityEl-Fayoum 63514Egypt Univ Lyon Univ Claude Bernard Lyon 1CNRS/IN2P3IP2I LyonUMR 582269622 VilleurbanneFrance georgian Technical University 77 Kostava Str.Tbilisi 0175Georgia Department of Physics Panjab UniversityChandigarh 160014India School of Particles and Accelerators Institute for Research in Fundamental Sciences(IPM)P.O.Box 19395-5531TehranIran School of Engineering Damghan UniversityDamghan ***Iran INFN Sezione di BariVia Orabona 470126 BariItaly INFN Laboratori Nazionali di Frascati(LNF)Via Enrico Fermi 4000044 FrascatiItaly INFN Sezione di NapoliComplesso Univ.Monte S.AngeloVia Cintia80126 NaplesItaly INFN Sezione di PaviaVia Bassi 6PaviaItaly INFN Sezione di Pavia and University of PaviaVia Bassi 6PaviaItaly Hanyang University 222 Wangsimni-roSageun-dongSeongdong

Purpose To complement and ensure redundancy in the endcap muon system of the Compact Muon Solenoid(CMS)detector and to extend the Resistive Plate Chamber(RPC)system coverage,improved RPCs(iRPCs)with either orthogonal layer strips with one-end electronics or single layer strips with two-end electronics providing more precise time measurement will be installed in the very forward pseudorapidity region of|η|g,Trigger and fast Control(TTC)and Slow Control(SC)into one data stream over a bi-directional optical link with a line rate of 4.8 gb/s between the Front-End Electronics(FEE)and the Back-End Electronics(BEE).To fulfill these requirements,a prototype BEE for the iRPC 2D chamber has been researched and *** A Micro-Telecommunication and Computing Architecture(μTCA)-based processing card was designed in this study to establish a prototype system together with aμTCA *** giga-Bit Transceiver(gBT)protocol is integrated to provide bi-directional communication between the FEE and BEE.A server is connected with the BEE by a gigabit Ethernet(gbE)link for SC and a 10-gbE link for Data AcQuisition(DAQ).Results The Bit Error Rate(BER)test of the back-end board and a joint test with the iRPC 2D prototype chamber were *** less than 1.331×10−16 was *** timemeasurement with a resolution of 3.05 nswas successfully realized,and detector efficiencies of 97.7%for longitudinal strips and 96.0%for orthogonal strips were *** results demonstrate the correctness and reliability of the prototype *** The BEE prototype satisfies the requirements for the iRPC 2D chamber,and it worked stably and reliably during a long-term joint test run.

关键词： CMS iRPC TTC SC BEE μTCA gBT DAQ

On Sawada-Kotera and Kaup-Kuperschmidt integrable systems

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Communications in Theoretical Physics 2025年第2期77卷 23-31页

作者： Metin gürses Asl| Pekcan Department of Mathematics Faculty of Science Bilkent University Department of Mathematics Faculty of Science Hacettepe University

To obtain new integrable nonlinear differential equations there are some well-known methods such as Lax equations with different Lax representations. There are also some other methods that are based on integrable scalar nonlinear partial differential equations. We show that some systems of integrable equations published recently are the M2-extension of integrable such scalar equations. For illustration, we give Korteweg–de Vries, Kaup-Kupershmidt, and SawadaKotera equations as examples. By the use of such an extension of integrable scalar equations, we obtain some new integrable systems with recursion operators. We also give the soliton solutions of the systems and integrable standard nonlocal and shifted nonlocal reductions of these systems.

关键词： recursion operator nonlocal reductions Hirota bilinear form soliton solutions .M2-extension recursion operator nonlocal reductions Hirota bilinear form soliton solutions

Stepping up after spinal cord injury:negotiating an obstacle during walking

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Neural Regeneration Research 2025年第7期20卷 1919-1929页

作者： Alain Frigon Charly g.Lecomte Department of Pharmacology-Physiology Faculty of Medicine and Health SciencesUniversitéde SherbrookeCentre de recherche du Centre Hospitalier Universitaire de SherbrookeSherbrookeQCCanada

Every day walking consists of frequent voluntary modifications in the gait pattern to negotiate *** spinal cord injury,stepping over an obstacle becomes *** over an obstacle requires sensorimotor transformations in several structures of the brain,including the parietal cortex,premotor cortex,and motor *** information and planning are transformed into motor commands,which are sent from the motor cortex to spinal neuronal circuits to alter limb trajectory,coordinate the limbs,and maintain *** spinal cord injury,bidirectional communication between the brain and spinal cord is disrupted and animals,including humans,fail to voluntarily modify limb trajectory to step over an ***,in this review,we discuss the neuromechanical control of stepping over an obstacle,why it fails after spinal cord injury,and how it recovers to a certain extent.

关键词： biomechanics locomotion neurophysiology obstacle negotiation spinal cord injury

ON THE gAUSSIAN KINEMATIC FORMULA OF *** AND ***

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Acta Mathematica Scientia 2025年第1期45卷 200-214页

作者： Joseph H.g.Fu Department of Mathematics University of GeorgiaAthensGA30602USA

We apply methods of algebraic integral geometry to prove a special case of the gaussian kinematic formula of *** idea,suggested already by Adler and Taylor,is to view the gKF as the limit of spherical kinematic formul... 详细信息

关键词： integral geometry kinematic formula probability density gaussian density

Damage analysis caused by ^(60)Co ions in functionally graded materials

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Defence Technology(防务技术) 2025年第2期44卷 248-256页

作者： Zübeyde Özkan Ugur gökmen Sema Bilge Ocak Department of Advanced Technologies Graduate School of Natural and Applied SciencesGazi UniversityAnkara06560Turkiye Department of Metallurgical and Materials Engineering Faculty of TechnologyGazi UniversityAnkara 06560Turkiye Basic and Engineering Sciences Central Laboratory Application and Research Center Gazi UniversityAnkara 06560Turkiye

Functionally graded composite/hybrid materials(FgCM/FgHCM)were produced by adding B_(4)C,TiO_(2),and B_(4)C+TiO_(2)ceramic materials at various ratios(0-50%)into the AA6082 *** analysis of the damage caused by^(60) ions'(1.173-1.1332 MeV)on the material was examined using the SRIM/TRIM Monte Carlo simulation *** the simulation,the following data regarding the atoms of the target materials were obtained:ion distribution,target ionization,total displacements,surface binding energy,lattice binding energy,and displacement *** the studied four materials,the one with the highest ion range value was found to be AA6082 with ***_(2)was found to be the reinforcement material that reduced the ion range the most in the *** to its high binding energy,B_(4)C reinforced AA6082+(0-50%)B_(4)C FgCM was found to have the least vacancy with 4782/ion.

关键词： SRIM/TRIM Damage analysis AA6082 ^(60)Co ion

R&D of back-end electronics for improved resistive plate chambers for the phase 2 upgrade of the CMS end-capmuon system

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Radiation Detection Technology and Methods 2022年第3期6卷 306-316页

作者： H.Kou Z.-A.Liu J.Zhao J.Song Q.Hou W.Diao P.Cao W.gong N.Wang A.Samalan M.Tytgat M.El Sawy g.A.Alves F.Marujo E.A.Coelho F.Torres Da Silva De Araujo E.M.Da Costa H.Nogima A.Santoro S.Fonseca De Souza D.De Jesus Damiao M.Thiel M.Barroso Ferreira Filho K.Mota Amarilo A.Aleksandrov R.Hadjiiska P.Iaydjiev M.Rodozov M.Shopova g.Sultanov A.Dimitrov L.Litov B.Pavlov P.Petkov A.Petrov E.Shumka S.J.Qian C.Avila D.Barbosa A.Cabrera A.Florez J.Fraga J.Reyes Y.Assran M.A.Mahmoud Y.Mohammed I.Laktineh g.grenier M.gouzevitch L.Mirabito K.Shchablo C.Combaret W.Tromeur g.galbit A.Luciol X.Chen I.Bagaturia I.Lomidze Z.Tsamalaidze V.Amoozegar B.Boghrati M.Ebraimi E.Zareian M.Mohammadi Najafabadi M.Abbrescia g.iaselli g.Pugliese F.Loddo N.De Filippis R.Aly D.Ramos W.Elmetenawee S.Leszki I.Margjeka D.Paesani L.Benussi S.Bianco D.Piccolo S.Meola S.Buontempo F.Carnevali L.Lista P.Paolucci F.Fienga A.Braghieri P.Salvini P.Montagna C.Riccardi P.Vitulo E.Asilar J.Choi T.J.Kim S.Y.Choi B.Hong K.S.Lee H.Y.Oh J.goh I.Yu C.Uribe Estrada I.Pedraza H.Castilla-Valdez R.L.Fernandez A.Sanchez-Hernandez E.Vazquez M.Ramirez-garcia N.Zaganidis A.Radi H.Hoorani S.Muhammad A.Ahmad I.Asghar M.A.Shah W.A.Khan J.Eysermans I.Crotty on behalf of the CMS Muon group Department of Physics and Astronomy Ghent UniversityProeftuinstraat 869000 GhentBelgium UniversitéLibre de Bruxelles Avenue Franklin Roosevelt50-1050 BruxellesBelgium Centro Brasileiro Pesquisas Fisicas R.Dr.Xavier Sigaud150UrcaRio de JaneiroRio de Janeiro 22290-180Brazil Department de Fisica Nuclear e Altas Energias Instituto de FisicaUniversidade do Estado do Rio de JaneiroRua Sao Francisco Xavier524Rio de JaneiroRio de Janeiro 20559-900Brazil Bulgarian Academy of Sciences Institute for Nuclear Researches and Nuclear EnergyTzarigradsko Shaussee Boulevard 721784 SofiaBulgaria Faculty of Physics University of Sofia5 James Bourchier Boulevard1164 SofiaBulgaria School of Physics Peking UniversityBeijing 100871China State Key Laboratory of Particle Detection and Electronics Institute of High Energy PhysicsChinese Academy of SciencesBeijing 100049China University of Chinese Academy of Sciences B325Main BuildingNo.19(A)Yuquan RoadShijingshan DistrictBeijing 100049China Universidad de Los Andes Carrera 1No.18A-12BogotáColombia Egyptian Network for High Energy Physics Academy of Scientific Research and Technology101 Kasr El-Einy St.CairoEgypt Suez University SuezCairo RoadElsalam CitySuez 43522Egypt Center for High Energy Physics(CHEP-FU) Faculty of ScienceFayoum UniversityEl-Fayoum 63514Egypt Univ Lyon Univ Claude Bernard Lyon 1CNRS/IN2P3IP2I LyonUMR 582269622 VilleurbanneFrance georgian Technical University 77 Kostava Str.0175 TbilisiGeorgia School of Particles and Accelerators Institute for Research in Fundamental Sciences(IPM)P.O.Box 19395-5531 TehranIran School of Engineering Damghan UniversityDamghan ***Iran INFN Sezione di BariVia Orabona 470126 BariItaly INFN Laboratori Nazionali di Frascati(LNF)Via Enrico Fermi 4000044 FrascatiItaly INFN Sezione di NapoliComplesso University Monte S.AngeloVia Cintia80126 NapoliItaly Dipartimento di Ingegneria Elettrica e delle Tecnologie dell’Informazione UniversitàDegli Studi di Napoli Federico II80126 NapoliI

Purpose The Large Hadron Collider(LHC)at European Organization for Nuclear Research is planned to be upgraded to the high luminosity *** the luminosity makes muon triggering reliable and ofﬂine reconstruction very *** enhance the redundancy of the Compact Muon Solenoid(CMS)Muon system and resolve the ambiguity of track reconstruction in the forward region,an improved Resistive Plate Chamber(iRPC)with excellent time resolution will be installed in the Phase-2 CMS *** iRPC will be equipped with Front-End Electronics(FEE),which can perform high-precision time measurements of signals from both ends of the *** Back-End Electronics(BEE)need to be researched and developed to provide sophisticated functionalities such as interacting with FEE with shared links for fast,slow control(SC)and data,in addition to trigger primitives(TPs)generation and data acquisition(DAQ).Method The BEE prototype uses a homemade hardware board compatible with the MTCA standard,the back-end board(BEB).BEE interacts with FEE via a bidirectional 4.8 gbps optical paired-link that integrates clock,data,and control *** clock and fast/slow control commands are distributed from BEB to the FEE via the *** uplink is used for BEB to receive the time information of the iRPC’sﬁred strips and the responses to the fast/slow control *** have a pipelined detector data for clusterﬁnding operation,recover(DeMux)the time relationship of which is changed due to the transmission protocol for the continuous incoming MUXed data from *** at each bunch crossing(BX),clusteringﬁred strips that satisfy time and spatial constraints to generate *** incoming raw MUXed detector data and TPs in a time window and latency based on the trigger signal are read out to the DAQ *** Ethernet(gbE)of SiTCP and commercial 10-gbE are used as link standards for SC and DAQ,respectively,for the BEB to interact with the *** The joint test results of

关键词： CMS iRPC BEE TP DAQ SC

Bioelectronic medicine in modulation of cortical spreading depolarization and beyond

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Neural Regeneration Research 2025年第2期20卷 481-482页

作者： Khaled Alok Timothy g.White Chunyan Li Department of Neurosurgery Donald and Barbara Zucker School of Medicine at Hofstra/NorthwellHempsteadNYUSA Translational Brain Research Laboratory The Feinstein Institutes for Medical ResearchManhassetNYUSA

Bioelectronic interventions,specifically trigeminal nerve st imulat ion(TNS),have attracted considerable attention in conditions where cortical spreading depolarizations(CSDs)accompanied by compromised cerebral perfusion may exacerbate neurological *** pharmacological interventions have demonstrated initial potential in addressing CSDs,a standardized treatment approach has not yet been *** objective of this perspective is to explore emerging bioelectronic methodologies for addressing CSDs,particularly emphasizing TNS,and to underscore TNS’s capacity to enhance neurovascular coupling and cerebral perfusion.

关键词： cerebral perfusion electronic

Impact of Zika virus non-structural protein mutations on hippocampal damage

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Neural Regeneration Research 2025年第8期20卷 2307-2308页

作者： Larissa M.g.Cassiano Roney S.Coimbra Neurogenômica/Imunopatologia Instituto RenéRachouFiocruzBelo HorizonteBrazil Departamento de Bioquímica e Imunologia Instituto de Ciências BiológicasUniversidade Federal de Minas GeraisBelo HorizonteBrazil

The Zika virus(ZIKV),a member of the Flaviviridae family,attracted worldwide attention for its connection to severe neurological effects,notably microcephaly in newborns,first reported during the 2015 epidemic in ***,its impact goes beyond fetal and neonatal abnormalities,also affecting the central nervous system(CNS)in both children and adults,leading to enduring cognitive and behavioral impairments.

关键词： damage fetal neonatal