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Strong Limit Theorems for Weighted Sums under the Sub-linear Expectations

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Acta Mathematicae Applicatae Sinica 2024年第3期40卷 862-874页

作者： feng-xiang feng Ding-cheng WANG Qun-ying WU Hai-wu HUANG School of Mathematics and Statistics Guilin University of TechnologyGuilin 541004China School of Mathematical Science University of Electronic Science and Technology of ChinaChengdu 611731China School of Science Guilin University of Aerospace TechnologyGuilin 541004China

In this article,we study strong limit theorems for weighted sums of extended negatively dependent random variables under the sub-linear *** establish general strong law and complete convergence theorems for weighted sums of extended negatively dependent random variables under the sub-linear *** results of strong limit theorems are more general than some related results previously obtained by Thrum(1987),Li et al.(1995)and Wu(2010)in classical probability space.

关键词： sub-linear expectation complete convergence complete moment convergence the maximal weighted sums

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Observation of acoustic hybrid topological phases induced by the p-d orbital interactions

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Science China(Physics,Mechanics & Astronomy) 2025年第1期Mechanics & Astronomy) .卷 132-139页

作者： Xiao xiang feng Gao Yu-Gui Peng Peng Wu Zong-Lin Li Xue-feng Zhu School of Physics and Innovation Institute Huazhong University of Science and Technology

In spinless systems,growing attention has recently been attracted to synthetic gauge fields,which redefine the fundamental crystal symmetries by utilizing the projective algebraic ***,synthetic gauge fields have been commonly investigated in single orbital systems,and explorations on hybrid orbitals remain elusive in ***,we report the experimental observation of hybrid topological phases induced by hybrid synthetic gauge flux,which is formed by the interaction between p and d orbitals embedded in acoustic *** breaking the translation symmetries of Lxand/or Ly,we unambiguously demonstrate the first-order M?bius edge states and higher-order corner *** work establishes a platform for seeking exotic topological phases induced by hybrid-orbitals interactions and initializing the framework of hybrid-orbitalsrelated topological *** applications can be anticipated in scenarios such as high-quality sensing and robust wave trapping due to the stepwise energy distribution of the hybrid topological phase.

关键词： topological insulator synthetic gauge field projective symmetry corner states

Laser image refractive index sensor based on the combination of a coreless optical fiber and a digital camera

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Optoelectronics Letters 2025年第2期21卷 65-68页

作者： GUO Jingzhong LAN feng CHEN xiang LIU Haifeng Xi'an Institute of Space Radio Technology Key Laboratory of Optoelectronic Sensor and Sensing Network Technology College of Electronic Information and Optical Engineering Nankai University

As a laser passes through a scattering medium,the light interacts with the irregular reflections within the medium,resulting in light scattering and the formation of *** this paper,an image sensor based on the combination of a coreless optical fiber and a digital camera is proposed for liquid refractive index sensing *** coreless fiber is used as a sensing unit,and the change in the speckle pattern is measured using the digital correlation method to detect the magnitude of the liquid's refractive *** experimental results indicate that the laser image sensing technique is capable of effectively distinguishing liquid samples with refractive indices ranging from 1.332 8 to1.390 8,with a sensing sensitivity of-1.306 ***,the laser image sensing technique,with its advantages of high experimental reproducibility,simple system design,remote over-control,holds great research significance and potential application in laser communication and sensor integration.

关键词： Digital cameras

Mainchain conformation ordering self-assembly tailored room temperature phosphorescence emission

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Science China Chemistry 2025年第1期68卷 329-336页

作者： Yuzhu Li Yumeng Gao feng Tian Yu Wang Yuan Yao Shaoliang Lin xiang Ma Binbin Xu Shanghai Key Laboratory of Advanced Polymeric Materials Key Laboratory for Ultrafine Materials of Ministry of Education School of Materials Science and Engineering East China University of Science and Technology Shanghai Synchrotron Radiation Facility Shanghai Advanced Research Institute Chinese Academy of Sciences Key Laboratory for Advance Materials and Feringa Noble Prize Scientist Joint Research Centre Frontiers Science for Materiobiology and Dynamic Chemistry School of Chemistry and Molecular Engineering East China University of Science & Technology

Developing organic room-temperature phosphorescence （RTP） materials with a wide range of tunable-emission is significant in expanding the applications of RTP ***,we rationally designed amphiphilic alternating copolymers poly(1,2-bis（4-alkoxyphenyl）ethane-1,2-dione-alt-（ethylene glycol）x)(P（Bz-alt-EGx）) that combined the advantage of alternating benzil and EGxskeleton,and tunable mainchain *** a mainchain conformation ordering assembly （COA） process,P（Bz-alt-EGx） self-assembled into well-defined platelets,and such assemblies emitted blue RTP at ca.425 nm due to the ordered folded-chain conformation and confined *** contrast,traditional self-assembly （TA） of P（Bz-alt-EGx） obtained less ordered aggregates,such as asymmetric worms,vesicles,and rod-like *** resultant less ordered aggregates exhibited yellow-green RTP at ca.550 *** wide-tuning RTP emission in solution （between blue and yellow-green,over125 nm） is realized using the P（Bz-alt-EGx） alternating copolymers under the treatment of different self-assembly *** study uncovers a new strategy to tailor the RTP emission through different self-assembly pathways and holds great promise for the fabrication of advanced optical materials.

关键词： self-assembly conformation ordering alternating copolymer phosphorescence emission

Copper metabolism after living related liver transplantation for Wilson's disease

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World Journal of Gastroenterology 2003年第12期9卷 2836-2838页

作者： Xue-Hao Wang feng Cheng feng Zhang xiang-Cheng Li Jian-Ming Qian Lian-Bao Kong Hao Zhang Guo-Qiang Li Liver Transplantation Center,First Affiliated Hospital of Nanjing Medical University,Nanjing 210029,Jiangsu Province,China Liver Transplantation Center First Affiliated Hospital of Nanjing Medical University Nanjing 210029 Jiangsu Province China.

AlM: Liver transplantation is indicated for Wilson's disease(WD) patients with the fulminant form and end-stage liverfailure. The aim of this study was to review our experiencewith living-related liver transplantation (LRLT) for ***: A retrospective review was made for WDundergoing LRLT at our hospital from January 2001 toFebuary ***: LRLT was carried out in 15 patients with WD,one of them had fulminant hepatic failure and the others had end-stage hepatic insufficiency. The mean age of the patients was 14.5±2.5 years (range 6 to 20 years). All the recipients had low serum ceruloplasmin levels with a mean value of 126.8±34t.8 mg/L before transplantation. The serum ceruloplasmin levels increased to an average of 238.6±34.4mg/L after LRLT at the latest evaluation, between 2 and 27months after transplantation. A marked reduction in urinary copper excretion was observed in all the recipients after transplantation. Among the eight recipients with preoperative Kayser-Fleischer (K-F) rings, this abnormality resolved completely after LRLT in five patients and partially in *** the recipients are alive and remain well, and none has developed signs of recurrent WD after a mean follow-up period of 15.4±9.3 months (range 2-27 months) except one who died of severe rejection. The donors were 14t mothers and 1 father. The serum ceruloplasmin levels were within normal limits in all the donors (mean: 220±22.4 mg/L). The mean donor age was 35.0±4.0 years (range, 30 to 45 years).Two donors had biliary leakage and required *** were harvested as follows: four right lobe grafts without hepatic middle vein and eleven left lobe grafts with hepatic middle vein. The grafts were blood group-compatible in all recibents. Two patients had hepatic artery thrombosis and underwent ***: LRLT is a curative procedure in Wilson's disease manifested as fulminant hepatic failure and/or endstage hepatic insufficiency. After liver transplantation,

关键词：铜代谢活体肝移植肝豆状核变性染色体隐性遗传病肝供体