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Acta Mathematica Sinica,English Series 2020年第2期36卷 109-120页

作者： zhi xiang wu School of Mathematical Sciences Zhejiang University

We classify all Leibniz conformal algebras of rank two.

关键词： Leibniz pseudoalgebra Lie conformal algebra Hopf algebra

Construct Weak Hopf Algebras by Using Borcherds Matrix

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Acta Mathematica Sinica,English Series 2009年第8期25卷 1337-1352页

作者： zhi xiang wu Department of Mathematics Zhejiang University Hangzhou 310027 P. R. China

We define a new kind quantized enveloping algebra of a generalized Kac-Moody algebra by adding a new generator J satisfying jm = j for some integer m. We denote this algebra by wuqT（A）. This algebra is a weak Hopf algebra if and only if m = 2,3. In general, it is a bialgebra, and contains a Hopf subalgebra. This Hopf subalgebra is isomorphic to the usual quantum envelope algebra Uq （A） of a generalized Kac-Moody algebra A.

关键词： generalized Kac-Moody algebras irreducible representation weak Hopf algebra

Restricted Lie 2-algebras

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Acta Mathematica Sinica,English Series 2018年第6期34卷 933-946页

作者： Yan TAN zhi xiang wu School of Mathematical Sciences Zhejiang University

In this article, we introduce the notions of restricted Lie 2-algebras and crossed modules of restricted Lie algebras, and give a series of examples of restricted Lie 2-algebras. We also construct restricted Lie 2-algebras from A（m）-algebras, restricted Leibniz algebras, restricted right-symmetric algebras. Finally, we prove that there is a one-to-one correspondence between strict restricted Lie 2-algebras and crossed modules of restricted Lie algebras.

关键词： Restricted Lie 2-algebra crossed module of restricted Lie algebra A(m)-algebra restricted Leibniz algebra restricted right-symmetric algebra

The Extension of a Quantized Borcherds Superalgebra by a Hopf Algebra

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Acta Mathematica Sinica,English Series 2016年第3期32卷 363-372页

作者： Li Xia YE zhi xiang wu Department of Mathematics Zhejiang International Studies University School of Mathematical Sciences Zhejiang University

A two-parameter quantum group is obtained from the usual enveloping algebra by adding two commutative grouplike elements. In this paper, we generalize this procession further by adding commutative grouplike elements b（ik）, c（ik）, g（ik）, h（ik）（i ∈I, k = 1,..., mi） of a Hopf algebra H to the quantized enveloping algebra Uq（G） of a Borcherds superalgebra G defined by a symmetrizable integral Borcherds–Cartan matrix A =（aij）i,j∈I. Therefore, we define an extended Hopf superalgebra HUq（G）. We also discuss the basis and the grouplike elements of HUqG.

关键词： Borcherds superalgebra Hopf algebra quantized enveloping algebra

Weak Hopf Algebras Corresponding to Borcherds-Cartan Matrices

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Acta Mathematica Sinica,English Series 2007年第10期23卷 1729-1744页

作者： Li Xia YE zhi xiang wu Xue Feng MEI Department of Computer Science Zhejiang Education Institute Hangzhou 310012 P. R. China Department of Mathematics Zhejiang University Hangzhou 310027 P. R. China Department of Mathematics Zhejiang Education Institute Hangzhou 310012 P. R. China

Let y be a generalized Kac-Moody algebra with an integral Borcherds-Cartan matrix. In this paper, we define a d-type weak quantum generalized Kac-Moody algebra wuq^d（y）, which is a weak Hopf algebra. We also study t... 详细信息

关键词： weak Hopf algebra weak quantum generalized Kac-Moody algebra highest weight module weak A-form

Experimental Study and a Modified Model for Temperature-Recovery Stress of Shape Memory Alloy Wire under Different Temperatures

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Structural Durability & Health Monitoring 2025年第2期19卷 347-364页

作者： zhi-xiang Wei Wen-Wei Wang Yan-Jie Xue wu-Tong ZhangQiu-Di Huang Guangxi Lepu Expressway Co. Ltd.Nanning530000China Department of Bridge Engineering School of TransportationSoutheast UniversityNanjing211189China Department of Road and Bridge Engineering College of Construction EngineeringJilin UniversityChangchun130012China

To investigate the performance of utilizing the shape memory effect of SMA(Shape Memory Alloy)wire to generate recovery stress,this paper performed single heating recovery stress tests and reciprocating heating-cooling recovery stress tests on SMA wire under varying initial strain *** effects of various strains and different energized heating methods on the recovery stress of SMA wires were explored in the single heating *** SMA wire was strained from 2%to 8%initially,and two distinct heating approaches were employed:one using a large current interval for rapid heating and one using a small current interval for slower *** experimental outcomes reveal that during a single heating cycle,the temperature-recovery stress relationship of SMA wire exhibits three distinct stages:the martensite phase stage,the transition stage from martensite to austenite phase,and the austenite phase ***,the choice of heating method does not influence the maximum recovery stress value,and the correlation between initial strain and maximum recovery stress is predominantly ***,conducting the reciprocating temperature rise and fall performance test is important to better simulate the scenario in practical engineering where multiple recovery stress in SMA wires for structural *** this test,two temperature cycling methods were studied:interval rise and fall,as well as direct rise and *** the case of utilizing the interval temperature rise and fall method,it was observed that the recovery stress associated with cooling was significantly higher than that corresponding to heating at the same ***,the recovery stress was lower upon subsequent heating than that measured during the previous heating *** on the experimental results,a prediction model for the temperature-recovery stress relationship has been proposed to simplify numerical *** is hoped that an approximate temperaturerecovery stress curve can be

关键词： SMA wire temperature recovery stress modified model phase transition

Tectonic modes of mantle convection and their implications for Earth's tectonic evolution based on three-dimensional numerical simulations

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Science China Earth Sciences 2025年第1期68卷 270-296页

作者： Song xiang Jinshui HUANG Bingcheng wu School of Earth and Space Sciences University of Science and Technology of ChinaHefei230026China CAS Center of Excellence in Comparative Planetary Studies Hefei230026China

Five tectonic modes of mantle convection are obtained and analyzed with three-dimensional numerical models in a spherical shell *** five tectonic convective modes are non-plate mobile-lid,plate-like mobile-lid,episodic plate-like mobile-lid,episodic stagnant-lid,and stagnant-lid convective modes,*** typical characteristics of these five tectonic modes and their numerical classification criteria based on plateness,mobility,and their standard deviations are presented and *** results show that the yield stress of the lithosphere has profound effects on the tectonic convective *** the gradual increase of yield stress,the tectonic mode of mantle convection changes from one to another sequentially through the aforementioned five ***,as the Rayleigh number increases,the range of yield stress for the platelike mobile-lid convective mode decreases,and the dimensionless transition stress between different tectonic modes ***,the dimensional transition stress between the non-plate mobile-lid convective mode and plate-like mobile-lid convective mode increases with the increase of Rayleigh number,but decreases between other tectonic ***,we find that the transition stress between different tectonic modes is inversely proportional to the internal heating rate,with the transition stress decreasing as the internal heating rate *** fitting analysis of the transition stress between tectonic modes shows that Earth's current plate tectonics correspond to a lithospheric yield stress of 150–250 MPa,which aligns with the strength of serpentinized mantle rock determined by experimental *** the Archean mantle was 300℃warmer than it is today,then the Earth was in an episodic stagnant-lid convective *** tectonic evolution of the Earth's surface is closely related to the lithospheric strength and the process of thermal *** the lithospheric strength was only 150 MPa,plate tecton

关键词： Tectonic mode of mantle convection Plate-like mobile-lid convection Episodic plate-like mobile-lid convection Episodic stagnant-lid convection Plate tectonics and tectonic evolution of the Earth

CMOS direct conversion X-ray detector coupled with fluorinated liquid

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Nuclear Science and Techniques 2025年第1期36卷 59-68页

作者： Shi-Hua Liu Chao-Song Gao Xin Zhang xiang-Ming Sun Meng wu zhi-Hui Han Tong Wan Yong-Shuai Ge Key Laboratory of Quark&Lepton Physics(MOE) Central China Normal UniversityWuhan 430079China Guizhou Education University Guiyang 550018China Research Center for Medical Artificial Intelligence Chinese Academy of SciencesShenzhen Institutes of Advanced TechnologyShenzhen 518055China

X-ray detectors show potential applications in medical imaging,materials science,and nuclear *** achieve high detection efficiency and spatial resolution,many conventional semiconductor materials,such as amorphous selenium,cadmium telluride zinc,and perovskites,have been utilized in direct conversion X-ray ***,these semiconductor materials are susceptible to temperature-induced performance degradation,crystallization,delamination,uneven lattice growth,radiation damage,and high dark *** study explores a new approach by coupling an FC40 electronic fluorinated liquid with a specialized high-resolution and high-readout-speed complementary metal-oxide-semiconductor(CMOS)pixel array,specifically the Topmetal II−chip,to fabricate a direct conversion X-ray *** fluorinated liquid FC40(molecular formula:C_(21)F_(48)N_(2))is an electronic medium that is minimally affected by temperature and displays no issues with uniform *** exhibits a low dark current and minimal radiation damage and enables customizable thickness in X-ray *** addresses the limitations inherent in conventional semiconductor-based *** this study,simple X-ray detector imaging tests were conducted,demonstrating the excellent coupling capability between FC40 electronic fluorinated liquid and CMOS chips by the X-ray detector.A spatial resolution of 4.0 lp/mm was measured using a striped line par card,and a relatively clear image of a cockroach was displayed in the digital radiography imaging *** test results indicated the feasibility of fabricating an X-ray detector by combining FC40 electronic fluorinated liquid and CMOS *** to the absence of issues related to chip-material coupling,a high spatial resolution could be achieved by reducing the chip pixel *** method presents a new avenue for studies on novel liquid-based direct conversion X-ray detectors.

关键词： FC40 electronic fluorinated liquid CMOS pixel chip X-ray detector Spatial resolution

Impacts of near-M_(s)austempering treatment on microstructure evolution and bainitic transformation kinetics of a medium Mn steel

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Journal of Iron and Steel Research International 2025年第1期32卷 249-259页

作者： Yong-gang Yang Xin-yue Liu Rui-zhi Li Yu-lai Chen Hong-xiang wu Guo-min Sun Zhen-li Mi National Engineering Research Center for Advanced Rolling and Intelligent Manufacturing University of Science and Technology BeijingBeijing 100083China Technology Center Ningbo Iron&Steel Co.Ltd.Ningbo 315800ZhejiangChina

The microstructure evolution and bainitic transformation of an Fe-0.19C-4.03Mn-1.48Si steel subjected to near-M_(s)austempering treatment were systematically investigated by combining dilatometer,X-ray diffraction,and electron *** additional austempering treatments with isothermal temperatures above M_(s)were used as *** show that the incubation period for the bainitic transformation occurs when the medium Mn steel is treated with the austempering temperature above M_(s).However,when subjected to near-M_(s)isothermal treatment,the medium Mn steel does not show an incubation period and has the fastest bainitic transformation ***,the largest volume fraction of bainite with a value of 74.7%is obtained on the condition of near-M_(s)austempering treatment after cooling to room *** and microstructure evolution analysis indicates that the elimination of the incubation period and the fastest rate of bainitic transformation are related to the preformed *** advent of preformed martensite allows the specimen to generate more bainite in a limited *** bainitic ferrite nucleation at austenite grain boundaries and through autocatalysis at ferrite/austenite interfaces,a model is established to understand the kinetics of bainite formation and it can describe the nucleation rate of bainitic transformation well when compared to the experimental results.

关键词： Medium manganese steel Bainitic transformation Microstructure Near-M_(s)austempering Transformation modeling

Recent progress in flexible sensors based on 2D materials

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Journal of Semiconductors 2025年第1期46卷 130-142页

作者： xiang Li Guancheng wu Caofeng Pan Rongrong Bao School of Physics Beihang UniversityBeijing 100191China Institute of Atomic Manufacturing Beihang UniversityBeijing 100191China Beijing Institute of Nanoenergy and Nanosystems Chinese Academy of SciencesBeijing 101400China School of Nanoscience and Engineering University of Chinese Academy of SciencesBeijing 100049China

With the rapid development of the internet of things(IoT)and wearable electronics,the role of flexible sensors is becoming increasingly irreplaceable,due to their ability to process and convert information ***-dimensional(2D)materials have been widely welcomed by researchers as sensitive layers,which broadens the range and application of flexible sensors due to the advantages of their large specific surface area,tunable energy bands,controllable thickness at the atomic level,stable mechanical properties,and excellent optoelectronic *** review focuses on five different types of 2D materials for monitoring pressure,humidity,sound,gas,and so on,to realize the recognition and conversion of human body and environmental ***,the main problems and possible solutions of flexible sensors based on 2D materials as sensitive layers are summarized.

关键词： 2D materials flexible sensors layered structure solution method